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News and updates, October 2005

Oct 31, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(7·10¹⁷¹-61)/9 = (7)₁₇₀1_<171> = 3 · 97 · 98333484653_<11> · 1030337843974634773078693_<25> · 1608163357158121809183067_<25> · C110
C110 = P39 · P72
P39 = 145160982436224533924365721104515797101_<39>
P72 = 113005973089572296166577050378866003855682441563366862432565161842558567_<72>

Number: (7*10^171-61)/9 N=16404058074843866413203250080722427658419280579547665355776861624584879423383374349231509019779885495281314267 ( 110 digits) Divisors found: r1=145160982436224533924365721104515797101 (pp39) r2=113005973089572296166577050378866003855682441563366862432565161842558567 (pp72) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 45.77 hours. Scaled time: 17.67 units (timescale=0.386). Factorization parameters were as follows: name: try n: 16404058074843866413203250080722427658419280579547665355776861624584879423383374349231509019779885495281314267 skew: 15788.24 # norm 2.64e+015 c5: 33120 c4: -3158144124 c3: -136143136634800 c2: 579236881561412623 c1: 1283117346222394733180 c0: 1757819858480988492648801 # alpha -5.91 Y1: 126558381103 Y0: -868907208907688768974 # Murphy_E 1.05e-009 # M 1265261254848970518326315911817369956861032884890814274159155170256657252766785777509296940963679378982401841 type: gnfs rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1600000, 2300001) Primes: RFBsize:230209, AFBsize:230471, largePrimes:7554026 encountered Relations: rels:7539830, finalFF:686292 Max relations in full relation-set: 28 Initial matrix: 460765 x 686292 with sparse part having weight 60201416. Pruned matrix : 284724 x 287091 with weight 30728785. Polynomial selection time: 1.52 hours. Total sieving time: 36.54 hours. Total relation processing time: 0.57 hours. Matrix solve time: 6.81 hours. Time per square root: 0.33 hours. Prototype def-par.txt line would be: gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000 total time: 45.77 hours. --------- CPU info (if available) ----------

Oct 30, 2005

By Sinkiti Sibata / GGNFS-0.77.1
(10¹⁵⁷+17)/9 = (1)₁₅₆3_<157> = 3 · 47 · 827 · 83419111680189269_<17> · C135
C135 = P61 · P74
P61 = 1992907785089724401736692803191942559636217788879327403377931_<61>
P74 = 57316558239739679762000092791164075709222001905279934665087887287062125681_<74>

Number: 11113_157 N=114226615130525798068763885215758604153133743497447747112539887636766023645114797421390064065956019652684501981144198433020012663746011 ( 135 digits) SNFS difficulty: 157 digits. Divisors found: r1=1992907785089724401736692803191942559636217788879327403377931 (pp61) r2=57316558239739679762000092791164075709222001905279934665087887287062125681 (pp74) Version: GGNFS-0.77.1 Total time: 55.76 hours. Scaled time: 37.14 units (timescale=0.666). Factorization parameters were as follows: name: 11113_157 n: 114226615130525798068763885215758604153133743497447747112539887636766023645114797421390064065956019652684501981144198433020012663746011 m: 10000000000000000000000000000000 c5: 100 c0: 17 skew: 2 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1500000, 2900001) Relations: rels:5735686, finalFF:595903 Initial matrix: 433371 x 595903 with sparse part having weight 48980564. Pruned matrix : 397323 x 399553 with weight 22135603. Total sieving time: 50.49 hours. Total relation processing time: 0.30 hours. Matrix solve time: 4.83 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 55.76 hours. --------- CPU info (if available) ----------

Oct 28, 2005 (3rd)

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(23·10¹⁶⁹+1)/3 = 7(6)₁₆₈7_<170> = 7 · 11 · 307 · 197299 · 811313057572823714632721_<24> · 850908127744709147996007641_<27> · C110
C110 = P43 · P68
P43 = 2255893164629642733089623238927689598361181_<43>
P68 = 10555114055732885485312192583694318747498275071125810970198577216467_<68>

Number: try N=23811209650214082238434949499281475004034199848735514583488009825882078773367231952275599070289522527886767527 ( 110 digits) Divisors found: r1=2255893164629642733089623238927689598361181 (pp43) r2=10555114055732885485312192583694318747498275071125810970198577216467 (pp68) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 49.69 hours. Scaled time: 19.78 units (timescale=0.398). Factorization parameters were as follows: name: try n: 23811209650214082238434949499281475004034199848735514583488009825882078773367231952275599070289522527886767527 skew: 22528.09 # norm 9.93e+014 c5: 11340 c4: 1139681156 c3: 4693303870705 c2: -990151315178811603 c1: 9197042496933003054123 c0: -323691855527389356795780 # alpha -4.81 Y1: 401728873579 Y0: -1159926999478108316447 # Murphy_E 9.97e-010 # M 14694032273146011863960366719819754479068580131505534245951780169933627126701086429550806317509406549314577040 type: gnfs rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1600000, 2400001) Primes: RFBsize:230209, AFBsize:230050, largePrimes:7525678 encountered Relations: rels:7458025, finalFF:638536 Max relations in full relation-set: 28 Initial matrix: 460338 x 638536 with sparse part having weight 53856376. Pruned matrix : 317504 x 319869 with weight 28592124. Polynomial selection time: 1.50 hours. Total sieving time: 39.44 hours. Total relation processing time: 0.53 hours. Matrix solve time: 7.86 hours. Time per square root: 0.36 hours. Prototype def-par.txt line would be: gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000 total time: 49.69 hours. --------- CPU info (if available) ----------

Oct 28, 2005 (2nd)

By Kenichiro Yamaguchi / GMP-ECM 6.0.1
(68·10¹⁶⁸+13)/9 = 7(5)₁₆₇7_<169> = 3 · 12601 · 6602087 · 322284503543_<12> · 13712914668917_<14> · 60589014077011390427_<20> · C114
C114 = P35 · P79
P35 = 18711449755162914969992390184458317_<35>
P79 = 6042106462649302363645103003440378703457286001372598528340319970726964942489453_<79>

Oct 28, 2005

By Sinkiti Sibata / GGNFS-0.77.1
(10¹⁶⁹+17)/9 = (1)₁₆₈3_<169> = 3² · 54903351101_<11> · C157
C157 = P35 · P50 · P73
P35 = 21232995076811297683181478966026917_<35>
P50 = 33149331188093851489952154515789188799603080087969_<50>
P73 = 3194700122655132752414961601112331804319081313944131723954617902155264209_<73>

Number: 11113_169 N=2248620305459062767809772678076967463018479078965333156949894392994654487136799481012371039815171119557429327913999784897333713725890520546584625558679340757 ( 157 digits) SNFS difficulty: 170 digits. Divisors found: r1=21232995076811297683181478966026917 (pp35) r2=33149331188093851489952154515789188799603080087969 (pp50) r3=3194700122655132752414961601112331804319081313944131723954617902155264209 (pp73) Version: GGNFS-0.77.1 Total time: 190.80 hours. Scaled time: 127.07 units (timescale=0.666). Factorization parameters were as follows: name: 11113_169 n: 2248620305459062767809772678076967463018479078965333156949894392994654487136799481012371039815171119557429327913999784897333713725890520546584625558679340757 m: 10000000000000000000000000000000000 c5: 1 c0: 170 skew: 3 type: snfs Factor base limits: 6000000/6000000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [3000000, 7100001) Relations: rels:6305104, finalFF:934883 Initial matrix: 826254 x 934883 with sparse part having weight 54575048. Pruned matrix : 784432 x 788627 with weight 37666446. Total sieving time: 172.51 hours. Total relation processing time: 0.69 hours. Matrix solve time: 17.35 hours. Time per square root: 0.25 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000 total time: 190.80 hours. --------- CPU info (if available) ----------

Oct 26, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1
10¹⁶³-3 = (9)₁₆₂7_<163> = 7 · 857 · C160
C160 = P39 · P59 · P63
P39 = 101212127218177995051360397159896256673_<39>
P59 = 53769799816620504426761135790381137170338896156057801450767_<59>
P63 = 306302235001175754564541527345578429311753804119402165243024733_<63>

Number: 99997_163 N=1666944490748458076346057676279379896649441573595599266544424070678446407734622437072845474245707617936322720453408901483580596766127687947991331888648108018003 ( 160 digits) SNFS difficulty: 163 digits. Divisors found: r1=101212127218177995051360397159896256673 (pp39) r2=53769799816620504426761135790381137170338896156057801450767 (pp59) r3=306302235001175754564541527345578429311753804119402165243024733 (pp63) Version: GGNFS-0.77.1 Total time: 70.90 hours. Scaled time: 81.25 units (timescale=1.146). Factorization parameters were as follows: name: 99997_163 n: 1666944490748458076346057676279379896649441573595599266544424070678446407734622437072845474245707617936322720453408901483580596766127687947991331888648108018003 m: 1000000000000000000000000000 skew: 1 c6: 10 c0: -3 type: snfs qintsize: 50000 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [2250000, 2250000) Relations: rels:5944699, finalFF:727207 Initial matrix: 631557 x 727207 with sparse part having weight 46978771. Pruned matrix : 596258 x 599479 with weight 30108459. Total sieving time: 66.78 hours. Total relation processing time: 0.22 hours. Matrix solve time: 3.67 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: snfs,163,6,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000 total time: 70.90 hours. --------- CPU info (if available) ----------

Oct 26, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(61·10¹⁵⁹-7)/9 = 6(7)_159<160> = 3 · 83 · 163145798897_<12> · 14892937766618321_<17> · 663591791263033860467_<21> · C110
C110 = P30 · P80
P30 = 429706828190475769330186160509_<30>
P80 = 39287866818500422501117149315362999958470759043260102926022320322953846895310943_<80>

Number: (61*10^159-7)/9 N=16882264636947654927210637990821794430288374826123266463960628674670628333828142140182869970014317344862149987 ( 110 digits) Divisors found: r1=429706828190475769330186160509 (pp30) r2=39287866818500422501117149315362999958470759043260102926022320322953846895310943 (pp80) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 49.57 hours. Scaled time: 19.98 units (timescale=0.403). Factorization parameters were as follows: name: try n: 16882264636947654927210637990821794430288374826123266463960628674670628333828142140182869970014317344862149987 skew: 16504.26 # norm 1.53e+015 c5: 18000 c4: -1956903384 c3: 80245250362830 c2: 445677873798170857 c1: -5498878229434910255052 c0: -1024546863621114157630495 # alpha -5.60 Y1: 480596537267 Y0: -987270673283473006812 # Murphy_E 1.02e-009 # M 12485693622819643989647908903408667736033745497216867751433471780695150903816315809677336356594047647921736928 type: gnfs rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1600000, 2400001) Primes: RFBsize:230209, AFBsize:230990, largePrimes:7749135 encountered Relations: rels:7910311, finalFF:807539 Max relations in full relation-set: 28 Initial matrix: 461275 x 807539 with sparse part having weight 71743266. Pruned matrix : 242986 x 245356 with weight 43808192. Polynomial selection time: 1.52 hours. Total sieving time: 40.05 hours. Total relation processing time: 0.58 hours. Matrix solve time: 7.07 hours. Time per square root: 0.34 hours. Prototype def-par.txt line would be: gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000 total time: 49.57 hours. --------- CPU info (if available) ----------

Oct 25, 2005

By Kenichiro Yamaguchi / GMP-ECM 6.0.1
(68·10¹⁷⁶+13)/9 = 7(5)₁₇₅7_<177> = 16223 · 17119019860271735061587461_<26> · C148
C148 = P33 · C115
P33 = 619193651836871434301224119229241_<33>
C115 = [4393694374867054312301107826304771911374972036279600016021736599645847049491465120275629018011759197571909779771959_<115>]
(68·10¹⁸⁹+13)/9 = 7(5)₁₈₈7_<190> = 3² · 11 · 933389 · 3475483210660030976531_<22> · C161
C161 = P30 · C132
P30 = 167456950534562681320501751047_<30>
C132 = [140491534853109484986754548242952399389515438770363777285457862248011616087412384135885187516878636187876872889038035235947402642391_<132>]

Oct 24, 2005 (2nd)

By Makoto Kamada / GGNFS-0.77.1-20050930-pentium4
8·10¹⁶⁹-1 = 7(9)_169<170> = C170
C170 = P64 · P107
P64 = 4983552831382432977450129148648011664663860982879601254876558471_<64>
P107 = 16052804636929688872053966123659744300097772329558086445649204239307760835424404643147419426717309547130569_<107>

Number: 79999_169 N=79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 ( 170 digits) SNFS difficulty: 170 digits. Divisors found: r1=4983552831382432977450129148648011664663860982879601254876558471 (pp64) r2=16052804636929688872053966123659744300097772329558086445649204239307760835424404643147419426717309547130569 (pp107) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 139.10 hours. Scaled time: 85.41 units (timescale=0.614). Factorization parameters were as follows: type: snfs n: 79999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 m: 10000000000000000000000000000000000 c5: 4 c0: -5 skew: 1 rlim: 6000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 q0: 3000000 qintsize: 100000 Factor base limits: 6000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3000000, 7200001) Primes: RFBsize:412849, AFBsize:216926, largePrimes:6232330 encountered Relations: rels:6453116, finalFF:737763 Max relations in full relation-set: 28 Initial matrix: 629839 x 737763 with sparse part having weight 88375505. Pruned matrix : 546338 x 549551 with weight 71524892. Total sieving time: 117.48 hours. Total relation processing time: 0.26 hours. Matrix solve time: 21.24 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,6000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 139.10 hours. --------- CPU info (if available) ----------

Oct 24, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(46·10¹⁷²-1)/9 = 5(1)_172<173> = 3 · 74377 · 190941040859_<12> · 329219420716929877_<18> · C110
C110 = P33 · P36 · P41
P33 = 565136006549966812916113719736759_<33>
P36 = 725753339313232876234657295548868177_<36>
P41 = 42146405201794140986772964098305943887101_<41>

Number: (46*10^172-1)/9 N=17286320442093215817833832514423465830114202513721854972729385622355164152982248553813025024575959082173293643 ( 110 digits) Divisors found: r1=565136006549966812916113719736759 (pp33) r2=725753339313232876234657295548868177 (pp36) r3=42146405201794140986772964098305943887101 (pp41) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 42.67 hours. Scaled time: 17.11 units (timescale=0.401). Factorization parameters were as follows: name: try n: 17286320442093215817833832514423465830114202513721854972729385622355164152982248553813025024575959082173293643 skew: 27422.06 # norm 8.50e+014 c5: 17820 c4: -1663476960 c3: -40868357908375 c2: 1072596167948350522 c1: 19114471823374771735884 c0: 2112584404026467554128000 # alpha -5.79 Y1: 233603525713 Y0: -993941622567834158561 # Murphy_E 1.10e-009 # M 3035570654687124468805151776380123179146811487172510248074143189454353921004656028578945679782393418883769009 type: gnfs rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1600000, 2200001 ) Primes: RFBsize:230209, AFBsize:230467, largePrimes:7607976 encountered Relations: rels:7661248, finalFF:739651 Max relations in full relation-set: 28 Initial matrix: 460754 x 739651 with sparse part having weight 62677286. Pruned matrix : 257304 x 259671 with weight 33728811. Total sieving time: 39.20 hours. Total relation processing time: 0.50 hours. Matrix solve time: 2.62 hours. Time per square root: 0.35 hours. Prototype def-par.txt line would be: gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000 total time: 42.67 hours. --------- CPU info (if available) ----------

Oct 23, 2005

Contribution and reservation page is now available. To submit factors or reserve numbers, click the buttons added to each tables.

Oct 22, 2005 (2nd)

By Bruce Dodson / GMP-ECM
10²⁷⁸+1 = 1(0)₂₇₇1_<279> = 101 · 1669 · 154220035640400941_<18> · C256
C256 = P44 · C213
P44 = 22566203851955475809719636369904190294286729_<44>
C213 = [170460195955406087545090279311026926563888951907783989333546728373132285301133106290630476849629315346179139368854511784754584944726280600478714209096405214649247803593868269901774380183733800546462768561031749861_<213>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Oct 22, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(88·10¹⁷⁶-7)/9 = 9(7)_176<177> = 409 · 7537 · 324781 · 413681 · 1423125493501272389_<19> · 410457956356423407164533980040111_<33> · C109
C109 = P45 · P64
P45 = 835872596553895914344667418154479252677921823_<45>
P64 = 4835152605189833378023630969247444104166394077022867478908079337_<64>

Number: (88*10^176-7)/9 N=4041571562834360371743685234852647890311532253351853063967401402695698925006 352905491532472725195117567671351 ( 109 digits) Divisors found: r1=835872596553895914344667418154479252677921823 (pp45) r2=4835152605189833378023630969247444104166394077022867478908079337 (pp64) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 36.27 hours. Scaled time: 14.72 units (timescale=0.406). Factorization parameters were as follows: name: try n: 404157156283436037174368523485264789031153225335185306396740140269569892500635 2905491532472725195117567671351 skew: 38498.37 # norm 2.49e+015 c5: 26520 c4: 1946519488 c3: -151784333575201 c2: -2228343102101464652 c1: 88389977576972041157614 c0: 33232882418034968623948840 # alpha -6.89 Y1: 283181162789 Y0: -686424412541168763879 # Murphy_E 1.19e-009 # M 188368404868095941682196676154981872952159147822480941013453087251238659102523 22088524972815061166582374873 type: gnfs rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1600000, 2800001) Primes: RFBsize:230209, AFBsize:230878, largePrimes:7173427 encountered Relations: rels:6897326, finalFF:524313 Max relations in full relation-set: 28 Initial matrix: 461175 x 524313 with sparse part having weight 39321246. Pruned matrix : 409401 x 411770 with weight 25761163. Polynomial selection time: 1.83 hours. Total sieving time: 22.49 hours. Total relation processing time: 0.58 hours. Matrix solve time: 10.96 hours. Time per square root: 0.41 hours. Prototype def-par.txt line would be: gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,32000 00,27,27,50,50,2.6,2.6,100000 total time: 36.27 hours. --------- CPU info (if available) ---------- P4 3.2 gig, 1024 Mb RAM

Oct 20, 2005 (4th)

All near-repdigit palindrome numbers of the form (R)_wD(R)_w (R ∈ { 1, 3, 7, 9 }) were factored up to 151-digit!

Oct 20, 2005 (3rd)

By Kenichiro Yamaguchi / GGNFS-0.77.1
(7·10¹⁵¹-9·10⁷⁵-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777777777776777777777777777777777777777777777777777777777777777777777777777777777777777_<151> = 3 · 601 · 11383 · 42793 · C139
C139 = P60 · P80
P60 = 249800844041590041816371889865466295254944741238479812710059_<60>
P80 = 35451648348814097560568927220058803113875106220262988808144613437817611427638679_<80>

Number: 77677_75 N=8855851680199403507014948920034626906365254291951379383455451181216021223647712208022089324382154605350418715068061995832798124546040772061 ( 139 digits) SNFS difficulty: 151 digits. Divisors found: r1=249800844041590041816371889865466295254944741238479812710059 (pp60) r2=35451648348814097560568927220058803113875106220262988808144613437817611427638679 (pp80) Version: GGNFS-0.77.1 Total time: 35.58 hours. Scaled time: 40.88 units (timescale=1.149). Factorization parameters were as follows: name: 77677_75 n: 8855851680199403507014948920034626906365254291951379383455451181216021223647712208022089324382154605350418715068061995832798124546040772061 m: 10000000000000000000000000 skew: 1 c6: 70 c3: -9 c0: -7 type: snfs qintsize: 20000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1200000, 2400001) Relations: rels:5254753, finalFF:400616 Initial matrix: 353367 x 400616 with sparse part having weight 37333710. Pruned matrix : 344269 x 346099 with weight 26748128. Total sieving time: 33.95 hours. Total relation processing time: 0.30 hours. Matrix solve time: 1.16 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 35.58 hours. --------- CPU info (if available) ----------

Oct 20, 2005 (2nd)

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(83·10¹⁵⁵+61)/9 = 9(2)₁₅₄9_<156> = 7 · 11 · 677 · 27308707004207_<14> · 269008383909264096142333777961_<30> · C109
C109 = P41 · P68
P41 = 30295007697022134838984570079567204171383_<41>
P68 = 79491038089640736612271099429455527317299371392929750668334411393461_<68>

Number: (83*10^155+61)/9 N=2408181610769945812962333186745918035714702222148442267020189048305134759924 582421450957807124592080889526563 ( 109 digits) Divisors found: r1=30295007697022134838984570079567204171383 (pp41) r2=79491038089640736612271099429455527317299371392929750668334411393461 (pp68) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 30.03 hours. Scaled time: 14.02 units (timescale=0.467). Factorization parameters were as follows: name: try n: 240818161076994581296233318674591803571470222214844226702018904830513475992458 2421450957807124592080889526563 skew: 41300.17 # norm 1.49e+015 c5: 21840 c4: -520985140 c3: -89382173038333 c2: 580391369538706862 c1: 61888653113728831548948 c0: -4027525537794873658238520 # alpha -6.61 Y1: 30186814603 Y0: -643409423763948635099 # Murphy_E 1.27e-009 # M 168488224660201944470680222562849441160467531529578345322462885992793667233986 2597588346741021480834950876662 type: gnfs rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1600000, 2800001) Primes: RFBsize:230209, AFBsize:230480, largePrimes:7363708 encountered Relations: rels:7268183, finalFF:648534 Max relations in full relation-set: 28 Initial matrix: 460772 x 648534 with sparse part having weight 49895252. Pruned matrix : 310865 x 313232 with weight 25057293. Total sieving time: 22.62 hours. Total relation processing time: 0.59 hours. Matrix solve time: 6.55 hours. Time per square root: 0.27 hours. Prototype def-par.txt line would be: gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,32000 00,27,27,50,50,2.6,2.6,100000 total time: 30.03 hours. --------- CPU info (if available) ---------- P4 3.2 gig, 1024 Mb RAM

Oct 20, 2005

By Sinkiti Sibata / GGNFS-0.77.1
(10¹⁶⁵+53)/9 = (1)₁₆₄7_<165> = 3² · 13 · 6973466407_<10> · 71041638549203500785349_<23> · C130
C130 = P37 · P93
P37 = 2958560207690742100530842527527150137_<37>
P93 = 647932156418649906721064138734891794612517911912705433862271929711288746481553278804265823211_<93>

Number: 11117_165 N=1916946295263471265415298868868483054850763678961235587943344428327025342624879175301961114952795962919895969967530419087096429907 ( 130 digits) SNFS difficulty: 165 digits. Divisors found: r1=2958560207690742100530842527527150137 (pp37) r2=647932156418649906721064138734891794612517911912705433862271929711288746481553278804265823211 (pp93) Version: GGNFS-0.77.1 Total time: 125.51 hours. Scaled time: 74.05 units (timescale=0.590). Factorization parameters were as follows: name: 11117_165 n: 1916946295263471265415298868868483054850763678961235587943344428327025342624879175301961114952795962919895969967530419087096429907 m: 1000000000000000000000000000000000 c5: 1 c0: 53 skew: 2 type: snfs Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [2500000, 5400001) Relations: rels:6102841, finalFF:829838 Initial matrix: 697513 x 829838 with sparse part having weight 49988564. Pruned matrix : 652318 x 655869 with weight 30397504. Total sieving time: 113.27 hours. Total relation processing time: 0.64 hours. Matrix solve time: 11.36 hours. Time per square root: 0.23 hours. Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000 total time: 125.51 hours. --------- CPU info (if available) ----------

Oct 19, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(68·10¹⁷⁷+13)/9 = 7(5)₁₇₆7_<178> = 3 · 11 · 2976541 · 1986024611_<10> · 21372627064267161524638651_<26> · 584163599840517891765685151_<27> · C109
C109 = P32 · P78
P32 = 16649041345956785978066544251831_<32>
P78 = 186326375883529372573195580204691042271311165907598423871225253573728851230609_<78>

Number: (68*10^177+13)/9 N=3102155535927165892282359467707887179211221218792713523148538014622726901451 107019748936781002601979551495079 ( 109 digits) Divisors found: r1=16649041345956785978066544251831 (pp32) r2=18632637588352937257319558020469104227131116590759842387122525357372885123 0609 (pp78) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 36.35 hours. Scaled time: 14.87 units (timescale=0.409). Factorization parameters were as follows: name: try n: 310215553592716589228235946770788717921122121879271352314853801462272690145110 7019748936781002601979551495079 skew: 16007.37 # norm 6.73e+014 c5: 17640 c4: 2003010208 c3: -37663238995726 c2: -683336483422674291 c1: 2276175730375724357224 c0: -1562408208188556542452639 # alpha -5.36 Y1: 212258499739 Y0: -706366401851154172710 # Murphy_E 1.14e-009 # M 154008773663557641889006013134644205760428391139451314764373726368221190933273 8275423455721797031470782496548 type: gnfs rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1600000, 3000001) Primes: RFBsize:230209, AFBsize:230204, largePrimes:7413846 encountered Relations: rels:7314723, finalFF:628477 Max relations in full relation-set: 28 Initial matrix: 460490 x 628477 with sparse part having weight 49150211. Pruned matrix : 330401 x 332767 with weight 26801905. Polynomial selection time: 1.37 hours. Total sieving time: 25.64 hours. Total relation processing time: 0.61 hours. Matrix solve time: 8.35 hours. Time per square root: 0.37 hours. Prototype def-par.txt line would be: gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,32000 00,27,27,50,50,2.6,2.6,100000 total time: 36.35 hours. --------- CPU info (if available) ---------- P4 3.2 gig, 1024 Mb RAM

Oct 18, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1
(10¹⁵¹+12·10⁷⁵-1)/3 = 3333333333333333333333333333333333333333333333333333333333333333333333333337333333333333333333333333333333333333333333333333333333333333333333333333333_<151> = 191 · 11931431 · 681375942817_<12> · C130
C130 = P51 · P79
P51 = 358116504234562342596071833930926313362871743635963_<51>
P79 = 5994344678963701828178210901524903350941465357133653014136011304901355320255463_<79>

Number: 33733_75 N=2146673761607530771831613636839932881610318515734641655480199502544435528652664132738873360216986828768270794320322697617634015869 ( 130 digits) SNFS difficulty: 151 digits. Divisors found: r1=358116504234562342596071833930926313362871743635963 (pp51) r2=5994344678963701828178210901524903350941465357133653014136011304901355320255463 (pp79) Version: GGNFS-0.77.1 Total time: 45.89 hours. Scaled time: 35.93 units (timescale=0.783). Factorization parameters were as follows: name: 33733_75 n: 2146673761607530771831613636839932881610318515734641655480199502544435528652664132738873360216986828768270794320322697617634015869 m: 10000000000000000000000000 skew: 1 c6: 10 c3: 12 c0: -1 type: snfs qintsize: 5000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1200000, 2285001) Relations: rels:5141030, finalFF:398079 Initial matrix: 352254 x 398079 with sparse part having weight 34475505. Pruned matrix : 341622 x 343447 with weight 24401876. Total sieving time: 42.31 hours. Total relation processing time: 0.81 hours. Matrix solve time: 2.51 hours. Time per square root: 0.25 hours. Prototype def-par.txt line would be: snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 45.89 hours. --------- CPU info (if available) ----------

Oct 17, 2005 (2nd)

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(10¹⁵⁷+11)/3 = (3)₁₅₆7_<157> = 7 · 31 · 1039 · 839073889 · 3476724404519_<13> · 829739033255217100531_<21> · C109
C109 = P39 · P71
P39 = 378641528748782707426215729102157462649_<39>
P71 = 16131071839146853642865220379938327843341868838763312362360548919746331_<71>

Number: (10^157+11)/3 N=6107893701531002525130019529075276284955785449103867411849283231781999198579 385084177229691980422107687290819 ( 109 digits) Divisors found: r1=378641528748782707426215729102157462649 (pp39) r2=16131071839146853642865220379938327843341868838763312362360548919746331 (pp71) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 31.82 hours. Scaled time: 12.86 units (timescale=0.404). Factorization parameters were as follows: name: try n: 610789370153100252513001952907527628495578544910386741184928323178199919857938 5084177229691980422107687290819 skew: 9058.61 # norm 2.20e+015 c5: 154080 c4: 6110803044 c3: 32795731415593 c2: 630913785227512583 c1: -2864372629028806713417 c0: 2566916076660438766607829 # alpha -6.85 Y1: 202851276947 Y0: -524357769549258114412 # Murphy_E 1.30e-009 # M 317910874579676561136488685553457244397721500482553101581063326181871375691269 9220581530997512231364664097615 type: gnfs rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1600000, 2800001) Primes: RFBsize:230209, AFBsize:230034, largePrimes:7382776 encountered Relations: rels:7273605, finalFF:632430 Max relations in full relation-set: 28 Initial matrix: 460324 x 632430 with sparse part having weight 49982759. Pruned matrix : 322846 x 325211 with weight 25665486. Polynomial selection time: 1.35 hours. Total sieving time: 22.30 hours. Total relation processing time: 0.60 hours. Matrix solve time: 7.23 hours. Time per square root: 0.34 hours. Prototype def-par.txt line would be: gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,32000 00,27,27,50,50,2.6,2.6,100000 total time: 31.82 hours. --------- CPU info (if available) ---------- P4 3.2 gig, 1024 Mb RAM

Oct 17, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1
(7·10¹⁵¹-18·10⁷⁵-7)/9 = 7777777777777777777777777777777777777777777777777777777777777777777777777775777777777777777777777777777777777777777777777777777777777777777777777777777_<151> = 19514434918236191_<17> · C135
C135 = P44 · P91
P44 = 72308150330953793895675530638511015061428929_<44>
P91 = 5512039211966234235551907731910904762055139651456464595200599313208098872408793062774532143_<91>

Number: 77577_75 N=398565359968966549341377531325669743755397248409857683088797348989747039065173941147576061184729542897773767978865832805924423020564847 ( 135 digits) SNFS difficulty: 151 digits. Divisors found: r1=72308150330953793895675530638511015061428929 (pp44) r2=5512039211966234235551907731910904762055139651456464595200599313208098872408793062774532143 (pp91) Version: GGNFS-0.77.1 Total time: 27.67 hours. Scaled time: 31.76 units (timescale=1.148). Factorization parameters were as follows: name: 77577_75 n: 398565359968966549341377531325669743755397248409857683088797348989747039065173941147576061184729542897773767978865832805924423020564847 m: 10000000000000000000000000 skew: 1 c6: 70 c3: -18 c0: -7 type: snfs qintsize: 30000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1200000, 2160001) Relations: rels:5031482, finalFF:399322 Initial matrix: 352518 x 399322 with sparse part having weight 33679212. Pruned matrix : 339877 x 341703 with weight 23541606. Total sieving time: 26.29 hours. Total relation processing time: 0.19 hours. Matrix solve time: 1.04 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 27.67 hours. --------- CPU info (if available) ----------

Oct 16, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(29·10¹⁵⁸+7)/9 = 3(2)₁₅₇3_<159> = 23 · 461 · 919 · 863812865659156741_<18> · 7045637575330861378982261_<25> · C109
C109 = P49 · P61
P49 = 2116535804504319328369428583266721511884186009621_<49>
P61 = 2567116797056076871290015842910679596990176871546012502135159_<61>

Number: (29*10^158+7)/9 N=5433394615313635112798817586709646547401897350053964709573034550371009972141 238554431351626062312978616364739 ( 109 digits) Divisors found: r1=2116535804504319328369428583266721511884186009621 (pp49) r2=2567116797056076871290015842910679596990176871546012502135159 (pp61) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 35.59 hours. Scaled time: 13.99 units (timescale=0.393). Factorization parameters were as follows: name: try n: 543339461531363511279881758670964654740189735005396470957303455037100997214123 8554431351626062312978616364739 skew: 4652.08 # norm 1.12e+014 c5: 98280 c4: 3818806790 c3: -4441339703579 c2: -82541178637438376 c1: 54001702042996081950 c0: 70418619847262199232112 # alpha -4.54 Y1: 222077875609 Y0: -560428074010936900223 # Murphy_E 1.22e-009 # M 379863157542711794085504968705971263337986613117844641695867590909277059725078 6087715244613101294906565924990 type: gnfs rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1600000, 3000001) Primes: RFBsize:230209, AFBsize:229654, largePrimes:7435034 encountered Relations: rels:7325286, finalFF:610069 Max relations in full relation-set: 28 Initial matrix: 459948 x 610069 with sparse part having weight 51050438. Pruned matrix : 343766 x 346129 with weight 28709445. Total sieving time: 25.58 hours. Total relation processing time: 0.69 hours. Matrix solve time: 8.94 hours. Time per square root: 0.39 hours. Prototype def-par.txt line would be: gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,32000 00,27,27,50,50,2.6,2.6,100000 total time: 35.59 hours. --------- CPU info (if available) ---------- P4 3.2 gig, 1024 Mb RAM

Oct 15, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1
(10¹⁵¹+54·10⁷⁵-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111111111117111111111111111111111111111111111111111111111111111111111111111111111111111_<151> = 1669 · 138785947 · 235905331 · C131
C131 = P47 · P84
P47 = 79027681330367899231677917406107438100664743149_<47>
P84 = 257299336087399060220843117297804476699656822157989198103045370221839707270878173383_<84>

Number: 11711_75 N=20333769938830202187732061659293609278456675839917955719876353937255008520612525303600881960818597681659697496362221845269983403067 ( 131 digits) SNFS difficulty: 151 digits. Divisors found: r1=79027681330367899231677917406107438100664743149 (pp47) r2=257299336087399060220843117297804476699656822157989198103045370221839707270878173383 (pp84) Version: GGNFS-0.77.1 Total time: 41.64 hours. Scaled time: 32.39 units (timescale=0.778). Factorization parameters were as follows: name: 11711_75 n: 20333769938830202187732061659293609278456675839917955719876353937255008520612525303600881960818597681659697496362221845269983403067 m: 10000000000000000000000000 skew: 1 c6: 10 c3: 54 c0: -1 type: snfs qintsize: 10000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1200000, 2140001) Relations: rels:5078042, finalFF:399979 Initial matrix: 352648 x 399979 with sparse part having weight 33797228. Pruned matrix : 339823 x 341650 with weight 23533753. Total sieving time: 38.62 hours. Total relation processing time: 0.43 hours. Matrix solve time: 2.35 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 41.64 hours. --------- CPU info (if available) ----------

(10¹⁵¹+72·10⁷⁵-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111111111119111111111111111111111111111111111111111111111111111111111111111111111111111_<151> = 3 · 7 · 181 · 599 · 715580836889_<12> · C132
C132 = P41 · P92
P41 = 25811783920037444519059410337596468279431_<41>
P92 = 26421415210765064781080941513216314237349498070491943916815078971473151712607316063339389271_<92>

Number: 11911_75 N=681983860281858447199499453039476758065682295124277463319202780109961012947032676873540027146900147014424578914207148061683711384801 ( 132 digits) SNFS difficulty: 151 digits. Divisors found: r1=25811783920037444519059410337596468279431 (pp41) r2=26421415210765064781080941513216314237349498070491943916815078971473151712607316063339389271 (pp92) Version: GGNFS-0.77.1 Total time: 28.16 hours. Scaled time: 32.39 units (timescale=1.150). Factorization parameters were as follows: name: 11911_75 n: 681983860281858447199499453039476758065682295124277463319202780109961012947032676873540027146900147014424578914207148061683711384801 m: 10000000000000000000000000 skew: 1 c6: 10 c3: 72 c0: -1 type: snfs qintsize: 10000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1200000, 2200001) Relations: rels:5261228, finalFF:443207 Initial matrix: 352437 x 443207 with sparse part having weight 39027910. Pruned matrix : 330898 x 332724 with weight 21289060. Total sieving time: 26.87 hours. Total relation processing time: 0.19 hours. Matrix solve time: 0.96 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 28.16 hours. --------- CPU info (if available) ----------

Oct 15, 2005

By Makoto Kamada / GGNFS-0.77.1-20050930-pentium4 gnfs
10¹⁷⁵-9 = (9)₁₇₄1_<175> = 83 · 89 · 277590538396397099817467_<24> · 896295447371381022541530417241001_<33> · C115
C115 = P53 · P62
P53 = 61949583081432845501932022855183580890650237564733399_<53>
P62 = 87828944454424628608061572314719937855686216572417491650902721_<62>

Number: 99991_175 N=5440966491433929111554214944089000588930816682352861497343960642779983221200574467638376340734669429663292048678679 ( 115 digits) Divisors found: r1=61949583081432845501932022855183580890650237564733399 (pp53) r2=87828944454424628608061572314719937855686216572417491650902721 (pp62) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 54.99 hours. Scaled time: 33.82 units (timescale=0.615). Factorization parameters were as follows: name: 99991_175 n: 5440966491433929111554214944089000588930816682352861497343960642779983221200574467638376340734669429663292048678679 skew: 12259.14 # norm 3.08e+15 c5: 104520 c4: 7638682094 c3: -13306257396319 c2: 829995983020823370 c1: -2328325729794149148560 c0: -11666567813441271123193328 # alpha -5.01 Y1: 2599311618277 Y0: -8775936050106772370895 # Murphy_E 5.25e-10 # M 2151975845047172818369237269379495346341326179997150033209270845249862371353526224289632275292325915697762213426926 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 10000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1750000, 3170001) Primes: RFBsize:250150, AFBsize:250066, largePrimes:7625714 encountered Relations: rels:7518040, finalFF:566228 Max relations in full relation-set: 28 Initial matrix: 500296 x 566228 with sparse part having weight 50888876. Pruned matrix : 449739 x 452304 with weight 36817983. Total sieving time: 46.10 hours. Total relation processing time: 0.69 hours. Matrix solve time: 7.89 hours. Time per square root: 0.30 hours. Prototype def-par.txt line would be: gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 54.99 hours. --------- CPU info (if available) ----------

Note: qintsize is 100000 in [1750000, 3150001), 10000 in [3150001, 3170001)

Oct 14, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.77.1
(10¹⁶²+17)/9 = (1)₁₆₁3_<162> = 161566269551183775607139_<24> · C138
C138 = P40 · P99
P40 = 4331670272403487898909497310204173448519_<40>
P99 = 158763769737372670586126591456916292403844026842433021792146864283443725955106629960071436214057093_<99>

Number: 11113_162a N=6877123017060897044374571042740713156798005893398859541715948321496825270290162856653716529390380241038691567683902526773330081417 62295267 ( 138 digits) SNFS difficulty: 162 digits. Divisors found: r1=4331670272403487898909497310204173448519 (pp40) r2=158763769737372670586126591456916292403844026842433021792146864283443725955106629960071436214057093 (pp99) Version: GGNFS-0.77.1 Total time: 92.17 hours. Scaled time: 61.38 units (timescale=0.666). Factorization parameters were as follows: name: 11113_162a n: 687712301706089704437457104274071315679800589339885954171594832149682527029016285665371652939038024103869156768390252677333008141762 295267 m: 100000000000000000000000000000000 c5: 100 c0: 17 skew: 2 type: snfs Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [2250000, 4450001) Relations: rels:5964189, finalFF:774005 Initial matrix: 631658 x 774005 with sparse part having weight 46258015. Pruned matrix : 584262 x 587484 with weight 25832727. Total sieving time: 83.18 hours. Total relation processing time: 0.45 hours. Matrix solve time: 8.35 hours. Time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000 total time: 92.17 hours. --------- CPU info (if available) ----------

Oct 14, 2005 (2nd)

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(2·10¹⁷⁷-17)/3 = (6)₁₇₆1_<177> = 677 · 25349 · 393013 · 79420666569772996063969_<23> · 6533336840575541762728113725218487_<34> · C108
C108 = P46 · P62
P46 = 2508303240011545881154329734545373079401137891_<46>
P62 = 75945790705547000003969998101719766791828803553193380743769093_<62>

Number: (2*10^177-17)/3 N=1904950728919622871558958045227159083213904486368722486272007274299386560985 79795909141221381162892357002863 ( 108 digits) Divisors found: r1=2508303240011545881154329734545373079401137891 (pp46) r2=75945790705547000003969998101719766791828803553193380743769093 (pp62) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 26.05 hours. Scaled time: 10.50 units (timescale=0.403). Factorization parameters were as follows: name: try n: 190495072891962287155895804522715908321390448636872248627200727429938656098579 795909141221381162892357002863 skew: 44710.17 # norm 1.51e+015 c5: 11760 c4: -1356718216 c3: -59223065866209 c2: 2476319066249658648 c1: 57022542762163081239412 c0: -597914298298749620967297984 # alpha -6.37 Y1: 258874617767 Y0: -438430947650082959389 # Murphy_E 1.29e-009 # M 139741455458744718520467859768361375222069394858895968479384688294767949543813 82813981484924261786365258542 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 2450001) Primes: RFBsize:183072, AFBsize:183100, largePrimes:4483939 encountered Relations: rels:4595368, finalFF:474163 Max relations in full relation-set: 28 Initial matrix: 366252 x 474163 with sparse part having weight 36230380. Pruned matrix : 286780 x 288675 with weight 20170098. Total sieving time: 20.57 hours. Total relation processing time: 0.34 hours. Matrix solve time: 4.85 hours. Time per square root: 0.29 hours. Prototype def-par.txt line would be: gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000 00,26,26,49,49,2.6,2.6,150000 total time: 26.05 hours. --------- CPU info (if available) ---------- p4 3.2 gig, 1024 Mb RAM

Oct 14, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1
(10¹⁵¹+45·10⁷⁵-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111111111116111111111111111111111111111111111111111111111111111111111111111111111111111_<151> = 3 · 23 · 97655713 · C141
C141 = P58 · P83
P58 = 1997027338650943457295969265979479820897340416602456368571_<58>
P83 = 82570846009916462739671939974233945618960329221370464288990761278297434149703773953_<83>

Number: 11611_75 N=164896236857340347160931352501873584310988886992857541745026654917937090476762831264174071474529422002054982975724753347212523279098237631163 ( 141 digits) SNFS difficulty: 151 digits. Divisors found: r1=1997027338650943457295969265979479820897340416602456368571 (pp58) r2=82570846009916462739671939974233945618960329221370464288990761278297434149703773953 (pp83) Version: GGNFS-0.77.1 Total time: 28.75 hours. Scaled time: 33.10 units (timescale=1.151). Factorization parameters were as follows: name: 11611_75 n: 164896236857340347160931352501873584310988886992857541745026654917937090476762831264174071474529422002054982975724753347212523279098237631163 m: 10000000000000000000000000 skew: 1 c6: 10 c3: 45 c0: -1 type: snfs qintsize: 300000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1200000, 1200000) Relations: rels:5128742, finalFF:425200 Initial matrix: 352781 x 425200 with sparse part having weight 35870333. Pruned matrix : 334485 x 336312 with weight 21340437. Total sieving time: 27.51 hours. Total relation processing time: 0.15 hours. Matrix solve time: 0.95 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 28.75 hours. --------- CPU info (if available) ----------

Oct 13, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1
(7·10¹⁴⁹+9·10⁷⁴-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777777777877777777777777777777777777777777777777777777777777777777777777777777777777_<149> = 3² · 2277249907_<10> · C139
C139 = P37 · P44 · P60
P37 = 1376809726708478490931468014548893543_<37>
P44 = 21636652521774899503817611495057606654171231_<44>
P60 = 127390878380641808134389173992511049895610289858081131674763_<60>

Number: 77877_74 N=3794917405453636630071437876950575415543084401865769977893768032830125090286406769739341752338069771519848576616095749280927040456384315379 ( 139 digits) SNFS difficulty: 150 digits. Divisors found: r1=1376809726708478490931468014548893543 (pp37) r2=21636652521774899503817611495057606654171231 (pp44) r3=127390878380641808134389173992511049895610289858081131674763 (pp60) Version: GGNFS-0.77.1 Total time: 32.20 hours. Scaled time: 37.80 units (timescale=1.174). Factorization parameters were as follows: name: 77877_74 n: 3794917405453636630071437876950575415543084401865769977893768032830125090286406769739341752338069771519848576616095749280927040456384315379 m: 10000000000000000000000000 skew: 1 c6: 7 c3: 9 c0: -70 type: snfs qintsize: 1130000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1200000, 2330001) Relations: rels:5222436, finalFF:412613 Initial matrix: 353361 x 412613 with sparse part having weight 36495424. Pruned matrix : 341137 x 342967 with weight 23907762. Total sieving time: 30.02 hours. Total relation processing time: 0.27 hours. Matrix solve time: 1.75 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,150,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 32.20 hours. --------- CPU info (if available) ----------

(10¹⁵¹+27·10⁷⁵-1)/9 = 1111111111111111111111111111111111111111111111111111111111111111111111111114111111111111111111111111111111111111111111111111111111111111111111111111111_<151> = 17 · 9514504624407953_<16> · C133
C133 = P45 · P88
P45 = 911463651618491369778595517029111315386354569_<45>
P88 = 7536731326772967130509679175251284771071788374984822276636018012186639357985777581655919_<88>

Number: 11411_75 N=6869456656367965950826409688732436447972845946436054099997224976731461178767749312890367640861378810215838503327678485314019891543911 ( 133 digits) SNFS difficulty: 151 digits. Divisors found: r1=911463651618491369778595517029111315386354569 (pp45) r2=7536731326772967130509679175251284771071788374984822276636018012186639357985777581655919 (pp88) Version: GGNFS-0.77.1 Total time: 41.58 hours. Scaled time: 32.60 units (timescale=0.784). Factorization parameters were as follows: name: 11411_75 n: 6869456656367965950826409688732436447972845946436054099997224976731461178767749312890367640861378810215838503327678485314019891543911 m: 10000000000000000000000000 skew: 1 c6: 10 c3: 27 c0: -1 type: snfs qintsize: 10000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1200000, 2150001) Relations: rels:5153068, finalFF:426567 Initial matrix: 352501 x 426567 with sparse part having weight 36783631. Pruned matrix : 334430 x 336256 with weight 21860821. Total sieving time: 38.85 hours. Total relation processing time: 0.33 hours. Matrix solve time: 2.16 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: snfs,151,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 41.58 hours. --------- CPU info (if available) ----------

Oct 12, 2005 (2nd)

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
5·10¹⁵⁶-1 = 4(9)_156<157> = 325933631 · 418725471349_<12> · 64649255422764285424382191141_<29> · C108
C108 = P34 · P75
P34 = 1196044320747080988848275421315051_<34>
P75 = 473806101133225839977941970810800179066086580068330368731246322000830542731_<75>

Number: 5*10^156-1 N=5666930963957118597398027696961429470504668076802124580255755170769910100673 67217253155674205481178068944281 ( 108 digits) Divisors found: r1=1196044320747080988848275421315051 (pp34) r2=47380610113322583997794197081080017906608658006833036873124632200083054273 1 (pp75) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 27.31 hours. Scaled time: 10.82 units (timescale=0.396). Factorization parameters were as follows: name: try n: 566693096395711859739802769696142947050466807680212458025575517076991010067367 217253155674205481178068944281 skew: 23384.96 # norm 1.59e+015 c5: 45360 c4: 2173952544 c3: -108307711201354 c2: -1584442317506962255 c1: 18603058138119602723048 c0: -29070695707283682987819135 # alpha -6.53 Y1: 287398706837 Y0: -416228775137597942374 # Murphy_E 1.31e-009 # M 344927149656073652139561026162681144229007553496406963348579794490013423602004 069969632527639127675644284764 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 2450001) Primes: RFBsize:183072, AFBsize:183165, largePrimes:4494666 encountered Relations: rels:4615459, finalFF:480406 Max relations in full relation-set: 28 Initial matrix: 366318 x 480406 with sparse part having weight 37843115. Pruned matrix : 283252 x 285147 with weight 20950955. Polynomial selection time: 1.21 hours. Total sieving time: 20.70 hours. Total relation processing time: 0.34 hours. Matrix solve time: 4.78 hours. Time per square root: 0.29 hours. Prototype def-par.txt line would be: gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000 00,26,26,49,49,2.6,2.6,150000 total time: 27.31 hours. --------- CPU info (if available) ---------- P4 3.2 gig, 1024 Mb RAM

Oct 12, 2005

By Makoto Kamada / GGNFS-0.77.1-20050930-pentium4
10¹⁵³-9 = (9)₁₅₂1_<153> = 7351 · 12177173 · 4869339071_<10> · 1717538402791591_<16> · C118
C118 = P51 · P67
P51 = 212160165998317320103944607230187712351218102168603_<51>
P67 = 6296029889857224726698251701700348692740511088455095303322626184799_<67>

Number: 99991_153 N=1335766746562476311394979112050139074304751101054445997162839406395615947883173967919903824012052485594710774133665797 ( 118 digits) SNFS difficulty: 155 digits. Divisors found: r1=212160165998317320103944607230187712351218102168603 (pp51) r2=6296029889857224726698251701700348692740511088455095303322626184799 (pp67) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 36.60 hours. Scaled time: 22.47 units (timescale=0.614). Factorization parameters were as follows: n: 1335766746562476311394979112050139074304751101054445997162839406395615947883173967919903824012052485594710774133665797 m: 10000000000000000000000000000000 c5: 1 c0: -900 skew: 1 type: snfs qintsize: 10000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 2670001) Primes: RFBsize:216816, AFBsize:215581, largePrimes:5493083 encountered Relations: rels:5394281, finalFF:509333 Max relations in full relation-set: 28 Initial matrix: 432461 x 509333 with sparse part having weight 37353617. Pruned matrix : 382056 x 384282 with weight 25246154. Total sieving time: 31.51 hours. Total relation processing time: 0.26 hours. Matrix solve time: 4.73 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 36.60 hours. --------- CPU info (if available) ----------

Note: Table 99...991 had been completed up to 172.

Oct 11, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1
(10¹⁴⁹+6·10⁷⁴-1)/3 = 33333333333333333333333333333333333333333333333333333333333333333333333333533333333333333333333333333333333333333333333333333333333333333333333333333_<149> = 17 · C148
C148 = P44 · P51 · P53
P44 = 88225351162645633129590559359575807063473939_<44>
P51 = 596171206798901535940028504016067250123297431811291_<51>
P53 = 37279101041130413646579997617877471987264017638997701_<53>

Number: 33533_74 N=1960784313725490196078431372549019607843137254901960784313725490196078431384313725490196078431372549019607843137254901960784313725490196078431372549 ( 148 digits) SNFS difficulty: 150 digits. Divisors found: r1=88225351162645633129590559359575807063473939 (pp44) r2=596171206798901535940028504016067250123297431811291 (pp51) r3=37279101041130413646579997617877471987264017638997701 (pp53) Version: GGNFS-0.77.1 Total time: 95.13 hours. Scaled time: 74.68 units (timescale=0.785). Factorization parameters were as follows: name: 33533_74 n: 1960784313725490196078431372549019607843137254901960784313725490196078431384313725490196078431372549019607843137254901960784313725490196078431372549 m: 10000000000000000000000000 skew: 1 c6: 1 c3: 6 c0: -10 type: snfs qintsize: 10000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [750000, 3530001) Relations: rels:3128579, finalFF:256205 Initial matrix: 228278 x 256205 with sparse part having weight 32403815. Pruned matrix : 224321 x 225526 with weight 26008950. Total sieving time: 93.32 hours. Total relation processing time: 0.32 hours. Matrix solve time: 1.34 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,150,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 95.13 hours. --------- CPU info (if available) ----------

(7·10¹⁴⁹-45·10⁷⁴-7)/9 = 77777777777777777777777777777777777777777777777777777777777777777777777777277777777777777777777777777777777777777777777777777777777777777777777777777_<149>

= 3 · 113 · 57787253 · 361862503 · C131
C131 = P47 · P84
P47 = 43690240966887319700391058410971274669303866911_<47>
P84 = 251128359341732237335451035980116098703524354436581362431552219509789432846317838807_<84>

Number: 77277_74 N=10971858533259349729606961439732430619173992815736139317480397222220293539177218969395198134603391721823640452845516819285479015177 ( 131 digits) SNFS difficulty: 150 digits. Divisors found: r1=43690240966887319700391058410971274669303866911 (pp47) r2=251128359341732237335451035980116098703524354436581362431552219509789432846317838807 (pp84) Version: GGNFS-0.77.1 Total time: 35.63 hours. Scaled time: 40.37 units (timescale=1.133). Factorization parameters were as follows: name: 77277_74 n: 10971858533259349729606961439732430619173992815736139317480397222220293539177218969395198134603391721823640452845516819285479015177 m: 10000000000000000000000000 skew: 1 c6: 7 c3: -45 c0: -70 type: snfs qintsize: 1000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1200000, 2191001) Relations: rels:5999055, finalFF:666354 Initial matrix: 352272 x 666354 with sparse part having weight 66571545. Pruned matrix : 287276 x 289101 with weight 19542312. Total sieving time: 34.49 hours. Total relation processing time: 0.24 hours. Matrix solve time: 0.75 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,150,6,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 35.63 hours. --------- CPU info (if available) ----------

Oct 11, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(2·10¹⁷⁴+43)/9 = (2)₁₇₃7_<174> = 19 · 29 · 10487 · 6423559 · 70532117404207_<14> · 1540114041453736417_<19> · 5158919117740298720237_<22> · C107
C107 = P50 · P57
P50 = 16589785580222462313620004621034206905394890056421_<50>
P57 = 643975889848444833589206338819758992526723894368360535163_<57>

Number: (2*10^174+43)/9 N=1068342193141865885207490124807043809609279694110080063954719974376318104533 8481648052480636402786824431623 ( 107 digits) Divisors found: r1=16589785580222462313620004621034206905394890056421 (pp50) r2=643975889848444833589206338819758992526723894368360535163 (pp57) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 24.23 hours. Scaled time: 11.10 units (timescale=0.458). Factorization parameters were as follows: name: try n: 106834219314186588520749012480704380960927969411008006395471997437631810453384 81648052480636402786824431623 skew: 2720.79 # norm 1.86e+014 c5: 51240 c4: -1838166622 c3: -24219162956639 c2: 10168342829104629 c1: 21096891196156716135 c0: -91052948473760103831 # alpha -4.87 Y1: 201854090653 Y0: -183579286751225615786 # Murphy_E 1.71e-009 # M 733719521123377486365851574149728043023425514504936044930653925694570774332361 6712501588363526878946778594 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 215001 ) Primes: RFBsize:183072, AFBsize:182689, largePrimes:4420527 encountered Relations: rels:4459503, finalFF:425544 Max relations in full relation-set: 28 Initial matrix: 365844 x 425544 with sparse part having weight 32093553. Pruned matrix : 319476 x 321369 with weight 20432088. Total sieving time: 17.91 hours. Total relation processing time: 0.32 hours. Matrix solve time: 5.75 hours. Time per square root: 0.25 hours. Prototype def-par.txt line would be: gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000 00,26,26,49,49,2.6,2.6,150000 total time: 24.23 hours. --------- CPU info (if available) ---------- P4 3.2 gig, 1024 mb RAM

Oct 10, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1
(10¹⁵⁹+17)/9 = (1)₁₅₈3_<159> = 59 · 2287 · 3164748030433471_<16> · 508869722003299131338159_<24> · C114
C114 = P56 · P59
P56 = 21918177097312530089488698643486364254620637121125951583_<56>
P59 = 23328624540169739236194673078124052370965189712818664481803_<59>

Number: 11113_159 N=511320924108151432134411856740119469240746334836833853266717925421242537177166214682377974271237996992591962544149 ( 114 digits) SNFS difficulty: 160 digits. Divisors found: r1=21918177097312530089488698643486364254620637121125951583 (pp56) r2=23328624540169739236194673078124052370965189712818664481803 (pp59) Version: GGNFS-0.77.1 Total time: 67.08 hours. Scaled time: 44.67 units (timescale=0.666). Factorization parameters were as follows: name: 11113_159 n: 511320924108151432134411856740119469240746334836833853266717925421242537177166214682377974271237996992591962544149 m: 100000000000000000000000000000000 c5: 1 c0: 170 skew: 2 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [2000000, 3600001) Relations: rels:5721497, finalFF:679529 Initial matrix: 566942 x 679529 with sparse part having weight 42317335. Pruned matrix : 526225 x 529123 with weight 24144214. Total sieving time: 59.87 hours. Total relation processing time: 0.30 hours. Matrix solve time: 6.73 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 67.08 hours. --------- CPU info (if available) ----------

Oct 10, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(79·10¹⁵⁵-7)/9 = 8(7)_155<156> = 233 · 10433 · 1481882918251259_<16> · 5408053588527112006899636743_<28> · C107
C107 = P32 · P36 · P40
P32 = 65284723197930261268166364053401_<32>
P36 = 220613673743668983159486374835774857_<36>
P40 = 3128387783845623068000754294540409148477_<40>

Number: (79*10^155-7)/9 N=4505723894338902964140327779686729741311239594801929956356130151671147707340 2428700617197619020871097375389 ( 107 digits) Divisors found: r1=65284723197930261268166364053401 (pp32) r2=220613673743668983159486374835774857 (pp36) r3=3128387783845623068000754294540409148477 (pp40) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 25.03 hours. Scaled time: 9.59 units (timescale=0.383). Factorization parameters were as follows: name: try n: 450572389433890296414032777968672974131123959480192995635613015167114770734024 28700617197619020871097375389 skew: 7506.17 # norm 1.01e+015 c5: 213900 c4: -7403477846 c3: -32887963032294 c2: 773836973533045521 c1: 2748630794139355627220 c0: -32390891210355041649585 # alpha -6.36 Y1: 158162055491 Y0: -183955739673748343164 # Murphy_E 1.51e-009 # M 349232844417089456923012602886975953832958237685576428817163596546270173401719 60503832660864490474369591153 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 2300001) Primes: RFBsize:183072, AFBsize:183308, largePrimes:4450570 encountered Relations: rels:4550175, finalFF:473900 Max relations in full relation-set: 28 Initial matrix: 366465 x 473900 with sparse part having weight 35821290. Pruned matrix : 282153 x 284049 with weight 19342175. Polynomial selection time: 1.10 hours. Total sieving time: 18.80 hours. Total relation processing time: 0.32 hours. Matrix solve time: 4.56 hours. Time per square root: 0.25 hours. Prototype def-par.txt line would be: gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000 00,26,26,49,49,2.6,2.6,150000 total time: 25.03 hours. --------- CPU info (if available) ---------- P4 3.2 gig, 1024 Mb RAM

Oct 9, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1
(10¹⁴⁹+36·10⁷⁴-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111111111511111111111111111111111111111111111111111111111111111111111111111111111111_<149> = 3² · 1171619 · 1465837 · C135
C135 = P67 · P69
P67 = 1485829062303075804614751162714480283789423224355929438379270591453_<67>
P69 = 483809115449734222243654827741611582855330882250280741427084513028781_<69>

Number: 11511_74 N=718857644342359144530468425402489027160430984958775365098933616672882490982373246082553637242045511104119086887127401684920254281608793 ( 135 digits) SNFS difficulty: 150 digits. Divisors found: r1=1485829062303075804614751162714480283789423224355929438379270591453 (pp67) r2=483809115449734222243654827741611582855330882250280741427084513028781 (pp69) Version: GGNFS-0.77.1 Total time: 37.92 hours. Scaled time: 43.53 units (timescale=1.148). Factorization parameters were as follows: name: 11511_74 n: 718857644342359144530468425402489027160430984958775365098933616672882490982373246082553637242045511104119086887127401684920254281608793 m: 10000000000000000000000000 skew: 1 c6: 1 c3: 36 c0: -10 type: snfs qintsize: 500000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [750000, 750000) Relations: rels:3058806, finalFF:360391 Initial matrix: 228323 x 360391 with sparse part having weight 37258670. Pruned matrix : 208045 x 209250 with weight 14860349. Total sieving time: 37.01 hours. Total relation processing time: 0.11 hours. Matrix solve time: 0.71 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,150,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 37.92 hours. --------- CPU info (if available) ----------

Oct 8, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
2·10¹⁵⁸-1 = 1(9)_158<159> = 1285907719_<10> · 586074106312714207_<18> · 19164974945145553260890513_<26> · C107
C107 = P49 · P58
P49 = 2146234644932441031676835698745485661674751462177_<49>
P58 = 6451819391586870357110797574746788420003224310291851364103_<58>

Number: 2*10^158-1 N=1384711830107068442565172130932484068051186395984570664728366915515022174594 9123264400015684619851260032231 ( 107 digits) Divisors found: r1=2146234644932441031676835698745485661674751462177 (pp49) r2=6451819391586870357110797574746788420003224310291851364103 (pp58) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 26.18 hours. Scaled time: 10.31 units (timescale=0.394). Factorization parameters were as follows: name: try n: 138471183010706844256517213093248406805118639598457066472836691551502217459491 23264400015684619851260032231 skew: 10001.41 # norm 1.09e+014 c5: 19800 c4: -1174885606 c3: -5073349303007 c2: 127575625577585060 c1: 218203622201729620404 c0: -637911282839856843706560 # alpha -4.91 Y1: 11004478363 Y0: -233850921171800466889 # Murphy_E 1.58e-009 # M 491573396812418272626164234090827900025760171418064334326265164723476745324268 3248376707376062596967517286 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 2450001) Primes: RFBsize:183072, AFBsize:182111, largePrimes:4598405 encountered Relations: rels:4853200, finalFF:577774 Max relations in full relation-set: 28 Initial matrix: 365262 x 577774 with sparse part having weight 46599461. Pruned matrix : 233939 x 235829 with weight 24674938. Polynomial selection time: 1.38 hours. Total sieving time: 20.14 hours. Total relation processing time: 0.33 hours. Matrix solve time: 4.06 hours. Time per square root: 0.26 hours. Prototype def-par.txt line would be: gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000 00,26,26,49,49,2.6,2.6,150000 total time: 26.18 hours. --------- CPU info (if available) ---------- P4 3.2 gig, 1024 mb RAM

Oct 7, 2005 (3rd)

By Sinkiti Sibata / GGNFS-0.77.1
(4·10¹⁵⁷-1)/3 = 1(3)_157<158> = 13 · 17978551 · C149
C149 = P59 · P91
P59 = 11784742985942415665452704376248438748650663844739813180159_<59>
P91 = 4840838372269646675533865959695954366979220927876263504066982745751369848416622643705577249_<91>

Number: 13333_157 N=5704803605368561910387778334533331640718103620481014521279501477293835532271989136616324869705245020252330908234156499269744491787 1358244667528602591 ( 149 digits) SNFS difficulty: 157 digits. Divisors found: r1=11784742985942415665452704376248438748650663844739813180159 (pp59) r2=4840838372269646675533865959695954366979220927876263504066982745751369848416622643705577249 (pp91) Version: GGNFS-0.77.1 Total time: 58.92 hours. Scaled time: 39.24 units (timescale=0.666). Factorization parameters were as follows: name: 13333_157 n: 570480360536856191038777833453333164071810362048101452127950147729383553227198913661632486970524502025233090823415649926974449178713 58244667528602591 m: 10000000000000000000000000000000 c5: 400 c0: -1 skew: 2 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1500000, 3000001) Relations: rels:5740073, finalFF:596250 Initial matrix: 433241 x 596250 with sparse part having weight 48785569. Pruned matrix : 398328 x 400558 with weight 22242951. Total sieving time: 53.87 hours. Total relation processing time: 0.36 hours. Matrix solve time: 4.54 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 58.92 hours. --------- CPU info (if available) ----------

Oct 7, 2005 (2nd)

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(19·10¹⁶⁶-1)/9 = 2(1)_166<167> = 3 · 17 · 3175751 · 112713619 · 4135365673_<10> · 4176850455607_<13> · 829442422864343185621_<21> · C107
C107 = P49 · P59
P49 = 6213420216137445595425609090774885058694729937893_<49>
P59 = 12990870768842369846194484414899045383684817307326588209343_<59>

Number: (19*10^166-1)/9 N=8071773906035418168761429981225195262410509225568634914700240596107186489084 7712340814918817438448472334299 ( 107 digits) Divisors found: r1=6213420216137445595425609090774885058694729937893 (pp49) r2=12990870768842369846194484414899045383684817307326588209343 (pp59) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 23.65 hours. Scaled time: 9.74 units (timescale=0.412). Factorization parameters were as follows: name: try n: 807177390603541816876142998122519526241050922556863491470024059610718648908477 12340814918817438448472334299 skew: 21189.28 # norm 8.62e+014 c5: 42120 c4: 2117628782 c3: -39470352317003 c2: -896927806804315054 c1: 12531840400201270107300 c0: -414969552295676222425200 # alpha -7.01 Y1: 187282096837 Y0: -286083800478025317019 # Murphy_E 1.71e-009 # M 755630682329984662755267528254778032545734178085067267716763282150772773740590 43361589693688544433793590347 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 2300001) Primes: RFBsize:183072, AFBsize:184066, largePrimes:4563908 encountered Relations: rels:4796309, finalFF:571617 Max relations in full relation-set: 28 Initial matrix: 367221 x 571617 with sparse part having weight 44686172. Pruned matrix : 231109 x 233009 with weight 22844294. Polynomial selection time: 1.08 hours. Total sieving time: 18.34 hours. Total relation processing time: 0.34 hours. Matrix solve time: 3.64 hours. Time per square root: 0.23 hours. Prototype def-par.txt line would be: gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000 00,26,26,49,49,2.6,2.6,150000 total time: 23.65 hours. --------- CPU info (if available) ---------- P4 3.2 gig, 1024 Mb RAM

Oct 7, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1
(7·10¹⁴⁷-45·10⁷³-7)/9 = 777777777777777777777777777777777777777777777777777777777777777777777777727777777777777777777777777777777777777777777777777777777777777777777777777_<147> = 1213 · 13034011 · 6512155106833_<13> · C124
C124 = P57 · P68
P57 = 539961070762634006739314270069931772179621616448110278727_<57>
P68 = 13990378383901381343792947008641308012832419025677415186235716656729_<68>

Number: 77277_73 N=7554259692545798967586280271285939786581999954198002876496391846168266464680777432501131491117539365680769859033428770103983 ( 124 digits) SNFS difficulty: 147 digits. Divisors found: r1=539961070762634006739314270069931772179621616448110278727 (pp57) r2=13990378383901381343792947008641308012832419025677415186235716656729 (pp68) Version: GGNFS-0.77.1 Total time: 99.69 hours. Scaled time: 78.16 units (timescale=0.784). Factorization parameters were as follows: name: 77277_73 n: 7554259692545798967586280271285939786581999954198002876496391846168266464680777432501131491117539365680769859033428770103983 m: 1000000000000000000000000 skew: 1 c6: 7000 c3: -450 c0: -7 type: snfs qintsize: 1000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [750000, 8578001) Relations: rels:3905231, finalFF:265759 Initial matrix: 228574 x 265759 with sparse part having weight 38529934. Pruned matrix : 224715 x 225921 with weight 30012635. Total sieving time: 97.59 hours. Total relation processing time: 0.45 hours. Matrix solve time: 1.48 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,147,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 99.69 hours. --------- CPU info (if available) ----------

(10¹⁴⁹+27·10⁷⁴-1)/9 = 11111111111111111111111111111111111111111111111111111111111111111111111111411111111111111111111111111111111111111111111111111111111111111111111111111_<149> = 337 · 14864488977819792974162295667_<29> · C118
C118 = P58 · P60
P58 = 7384067216102462621256190273252185567572437363247736668941_<58>
P60 = 300387575100043727996533019070652041405300440160360920438849_<60>

Number: 11411_74 N=2218082045420749310403162020312681994837057759081352978041132837998260454070077557220057065863299438613020175148088909 ( 118 digits) SNFS difficulty: 150 digits. Divisors found: r1=7384067216102462621256190273252185567572437363247736668941 (pp58) r2=300387575100043727996533019070652041405300440160360920438849 (pp60) Version: GGNFS-0.77.1 Total time: 48.86 hours. Scaled time: 56.28 units (timescale=1.152). Factorization parameters were as follows: name: 11411_74 n: 2218082045420749310403162020312681994837057759081352978041132837998260454070077557220057065863299438613020175148088909 m: 10000000000000000000000000 skew: 1 c6: 1 c3: 27 c0: -10 type: snfs qintsize: 1000000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [750000, 750000) Relations: rels:3287976, finalFF:402614 Initial matrix: 228183 x 402614 with sparse part having weight 46738573. Pruned matrix : 203566 x 204770 with weight 17113970. Total sieving time: 48.22 hours. Total relation processing time: 0.13 hours. Matrix solve time: 0.42 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,150,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 48.86 hours. --------- CPU info (if available) ----------

Oct 6, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(86·10¹⁵¹+31)/9 = 9(5)₁₅₀9_<152> = 3 · 11 · 29 · 769 · 3557 · 2756057507779_<13> · 3581409699470998083447593_<25> · C106
C106 = P40 · P66
P40 = 3849646161001019789143190583478641330829_<40>
P66 = 960662205499588834060367844684766611533009035501918866249588434953_<66>

Number: N=3698209571420264915006403117467418197659829602978111398572047205250720231665 990030552863508178431220066037 ( 106 digits) Divisors found: r1=3849646161001019789143190583478641330829 (pp40) r2=960662205499588834060367844684766611533009035501918866249588434953 (pp66) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 23.14 hours. Scaled time: 9.30 units (timescale=0.402). Factorization parameters were as follows: name: try n: 369820957142026491500640311746741819765982960297811139857204720525072023166599 0030552863508178431220066037 skew: 7197.39 # norm 7.49e+013 c5: 36960 c4: -1283510322 c3: -4245517100537 c2: 67583707016215790 c1: 97718921109775493596 c0: -246087869822037563183364 # alpha -4.77 Y1: 108319835719 Y0: -158509016913006468127 # Murphy_E 1.73e-009 # M 712218549404954049250323867705569303904109697594251628932317675254645248677021 599919584691883154339899468 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 2300001) Primes: RFBsize:183072, AFBsize:182479, largePrimes:4437804 encountered Relations: rels:4508549, finalFF:451875 Max relations in full relation-set: 28 Initial matrix: 365636 x 451875 with sparse part having weight 34605517. Pruned matrix : 297560 x 299452 with weight 19797121. Total sieving time: 17.39 hours. Total relation processing time: 0.31 hours. Matrix solve time: 5.18 hours. Time per square root: 0.27 hours. Prototype def-par.txt line would be: gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000 00,26,26,49,49,2.6,2.6,150000 total time: 23.14 hours. --------- CPU info (if available) ---------- P4 3.2 gig, 1-24 mb RAM

Oct 5, 2005 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1
(16·10¹⁵⁵-7)/9 = 1(7)_155<156> = 3 · C155
C155 = P73 · P82
P73 = 7125116857458280461046747727398728822550057760790147950702735682169465159_<73>
P82 = 8316952612114578036270856577542486539606426446517458465945695974546403895108089901_<82>

Number: 17777_155 N=59259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259 ( 155 digits) SNFS difficulty: 156 digits. Divisors found: r1=7125116857458280461046747727398728822550057760790147950702735682169465159 (pp73) r2=8316952612114578036270856577542486539606426446517458465945695974546403895108089901 (pp82) Version: GGNFS-0.77.1 Total time: 41.01 hours. Scaled time: 26.08 units (timescale=0.636). Factorization parameters were as follows: name: 17777_155 n: 59259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259 m: 10000000000000000000000000000000 c5: 16 c0: -7 skew: 2 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1500000, 2500001) Relations: rels:5565484, finalFF:566524 Initial matrix: 433551 x 566524 with sparse part having weight 42334961. Pruned matrix : 393901 x 396132 with weight 20273014. Total sieving time: 36.19 hours. Total relation processing time: 0.37 hours. Matrix solve time: 4.29 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 41.01 hours. --------- CPU info (if available) ----------

Oct 5, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(65·10¹⁶⁴+43)/9 = 7(2)₁₆₃7_<165> = 439 · 4969 · 1121788638739_<13> · 2208509897446174801_<19> · 16593692615156902858999_<23> · C106
C106 = P37 · P70
P37 = 1553337788003002160800207996061988253_<37>
P70 = 5184632701156864875628511570734466621572003441098635405139333298106509_<70>

Number: (65*10^164+43)/9 N=8053485891623034627982576910582286856970550711314674708525483252408106062221 222245761854654180314700838777 ( 106 digits) Divisors found: r1=1553337788003002160800207996061988253 (pp37) r2=5184632701156864875628511570734466621572003441098635405139333298106509 (pp70) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 22.14 hours. Scaled time: 8.86 units (timescale=0.400). Factorization parameters were as follows: name: try n: 805348589162303462798257691058228685697055071131467470852548325240810606222122 2245761854654180314700838777 skew: 3388.87 # norm 1.04e+014 c5: 154800 c4: 4535508726 c3: 2007460750209 c2: -47855158595518438 c1: 21461941375814145016 c0: 41209937517651963176512 # alpha -4.84 Y1: 68288415041 Y0: -139072524934748618113 # Murphy_E 1.70e-009 # M 537681203801633681325264430261461671417437663604990151656345544577484227514235 8511605319487823555631443577 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 2300001) Primes: RFBsize:183072, AFBsize:183756, largePrimes:4509358 encountered Relations: rels:4666894, finalFF:513689 Max relations in full relation-set: 28 Initial matrix: 366904 x 513689 with sparse part having weight 39246364. Pruned matrix : 258718 x 260616 with weight 20299421. Total sieving time: 17.67 hours. Total relation processing time: 0.31 hours. Matrix solve time: 3.90 hours. Time per square root: 0.25 hours. Prototype def-par.txt line would be: gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000 00,26,26,49,49,2.6,2.6,150000 total time: 22.14 hours. --------- CPU info (if available) ---------- P4 3.2 gig 1024 MB RAM

Oct 4, 2005

By Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs
(28·10¹⁶⁵-1)/9 = 3(1)_165<166> = 3 · 1997 · 41029853253616558862159_<23> · 1479931381061176239842955946643233_<34> · C106
C106 = P49 · P58
P49 = 2662130344631855481640471681171550281616064848447_<49>
P58 = 3212516327124022069219127196505956546984798871424714788369_<58>

Number: (28*10^165-1)/9 N=8552137197062135452946734939039401000390352520643770708997187105215087703113 602922115601036755747663312943 ( 106 digits) Divisors found: r1=2662130344631855481640471681171550281616064848447 (pp49) r2=3212516327124022069219127196505956546984798871424714788369 (pp58) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 23.43 hours. Scaled time: 9.30 units (timescale=0.397). Factorization parameters were as follows: name: try n: 855213719706213545294673493903940100039035252064377070899718710521508770311360 2922115601036755747663312943 skew: 3561.77 # norm 1.93e+014 c5: 794880 c4: -6039392880 c3: -36285420045202 c2: 86961503898225370 c1: 341611607879687875799 c0: -1923453437557448661618 # alpha -5.39 Y1: 262642520107 Y0: -101474361206990021707 # Murphy_E 1.62e-009 # M 844269480175799858330152333171433464083953649561414481424416189593910037841661 9571100566992690139641353636 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 2300001) Primes: RFBsize:183072, AFBsize:183326, largePrimes:4461973 encountered Relations: rels:4570043, finalFF:480671 Max relations in full relation-set: 28 Initial matrix: 366478 x 480671 with sparse part having weight 36716103. Pruned matrix : 279123 x 281019 with weight 19473805. Polynomial selection time: 0.97 hours. Total sieving time: 17.53 hours. Total relation processing time: 0.32 hours. Matrix solve time: 4.35 hours. Time per square root: 0.26 hours. Prototype def-par.txt line would be: gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,25000 00,26,26,49,49,2.6,2.6,150000 total time: 23.43 hours. --------- CPU info (if available) ---------- P4 3.2 gig, 1024 Mb RAM

Oct 3, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1
(7·10¹⁴⁷-36·10⁷³-7)/9 = 777777777777777777777777777777777777777777777777777777777777777777777777737777777777777777777777777777777777777777777777777777777777777777777777777_<147> = 11 · 21023 · 239282508927295175522107_<24> · C119
C119 = P48 · P71
P48 = 788329650501503801440820969644645670224132529951_<48>
P71 = 17829917756532436365539600908128276083256168083369835172387518102946537_<71>

Number: 77377_73 N=14055852833477772307971316696272095272055107070214374330386574894351597475885168693977768149430530967932009405504229687 ( 119 digits) SNFS difficulty: 147 digits. Divisors found: r1=788329650501503801440820969644645670224132529951 (pp48) r2=17829917756532436365539600908128276083256168083369835172387518102946537 (pp71) Version: GGNFS-0.77.1 Total time: 37.52 hours. Scaled time: 44.68 units (timescale=1.191). Factorization parameters were as follows: name: 77377_73 n: 14055852833477772307971316696272095272055107070214374330386574894351597475885168693977768149430530967932009405504229687 m: 1000000000000000000000000 skew: 1 c6: 7000 c3: -360 c0: -7 type: snfs qintsize: 1000000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [750000, 750000) Relations: rels:3447321, finalFF:365681 Initial matrix: 228599 x 365681 with sparse part having weight 46064972. Pruned matrix : 211359 x 212565 with weight 20555344. Total sieving time: 36.16 hours. Total relation processing time: 0.19 hours. Matrix solve time: 1.07 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,147,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 37.52 hours. --------- CPU info (if available) ----------

Oct 3, 2005

By Sinkiti Sibata / GGNFS-0.77.1
(10¹⁵³+17)/9 = (1)₁₅₂3_<153> = 719 · 13931 · 2014069 · C139
C139 = P57 · P83
P57 = 114521833356465900020415825623800689715941506216490899461_<57>
P83 = 48093199574286224364697377298058658387570280747098458767424524501531862989782136013_<83>

Number: 11113_153 N=5507721387225663752003822340429316847883989899167841894194808756524630892595224851466945354593237482894480141458263717053006855884 210388993 ( 139 digits) SNFS difficulty: 155 digits. Divisors found: r1=114521833356465900020415825623800689715941506216490899461 (pp57) r2=48093199574286224364697377298058658387570280747098458767424524501531862989782136013 (pp83) Version: GGNFS-0.77.1 Total time: 48.49 hours. Scaled time: 28.95 units (timescale=0.597). Factorization parameters were as follows: name: 11113_153 n: 550772138722566375200382234042931684788398989916784189419480875652463089259522485146694535459323748289448014145826371705300685588421 0388993 m: 10000000000000000000000000000000 c5: 1 c0: 1700 skew: 2 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1500000, 2700001) Relations: rels:5752017, finalFF:621608 Initial matrix: 433576 x 621608 with sparse part having weight 48464154. Pruned matrix : 385028 x 387259 with weight 19679907. Total sieving time: 43.67 hours. Total relation processing time: 0.31 hours. Matrix solve time: 4.34 hours. Time per square root: 0.17 hours. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 48.49 hours. --------- CPU info (if available) ----------

Oct 2, 2005

By Kenichiro Yamaguchi / GGNFS-0.77.1
(10¹⁴⁷+12·10⁷³-1)/3 = 333333333333333333333333333333333333333333333333333333333333333333333333373333333333333333333333333333333333333333333333333333333333333333333333333_<147> = 3607 · 1724094571309367654105702489_<28> · C116
C116 = P45 · P71
P45 = 884687692177158110023475232489995040629719097_<45>
P71 = 60587290803002915341399965280998780397341568241359510179116666563824643_<71>

Number: 33733_73 N=53600830475775005772757206877238796840764060857339607199248591985979911597205365826066623301705750025992467056307371 ( 116 digits) SNFS difficulty: 147 digits. Divisors found: r1=884687692177158110023475232489995040629719097 (pp45) r2=60587290803002915341399965280998780397341568241359510179116666563824643 (pp71) Version: GGNFS-0.77.1 Total time: 83.82 hours. Scaled time: 65.71 units (timescale=0.784). Factorization parameters were as follows: name: 33733_73 n: 53600830475775005772757206877238796840764060857339607199248591985979911597205365826066623301705750025992467056307371 m: 1000000000000000000000000 skew: 1 c6: 1000 c3: 120 c0: -1 type: snfs qintsize: 5000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [750000, 7390001) Relations: rels:3697112, finalFF:256799 Initial matrix: 227255 x 256799 with sparse part having weight 35514151. Pruned matrix : 223927 x 225127 with weight 28819130. Total sieving time: 81.64 hours. Total relation processing time: 0.55 hours. Matrix solve time: 1.44 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,147,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 83.82 hours. --------- CPU info (if available) ----------

Oct 1, 2005 (2nd)

By Kenichiro Yamaguchi / GGNFS-0.77.1
(7·10¹⁴⁷+9·10⁷³-7)/9 = 777777777777777777777777777777777777777777777777777777777777777777777777787777777777777777777777777777777777777777777777777777777777777777777777777_<147> = 1333100720561341_<16> · C132
C132 = P44 · P89
P44 = 49133589931465103711288641263105967143862201_<44>
P89 = 11874465513153241064602344533676608741669729094829753777928244341436139904807094249036397_<89>

Number: 77877_73 N=583435119178595691211498028354094852670593276016544554582023360518588724917133541375680240070991827336262450168816109961717201529797 ( 132 digits) SNFS difficulty: 147 digits. Divisors found: r1=49133589931465103711288641263105967143862201 (pp44) r2=11874465513153241064602344533676608741669729094829753777928244341436139904807094249036397 (pp89) Version: GGNFS-0.77.1 Total time: 60.20 hours. Scaled time: 70.01 units (timescale=1.163). Factorization parameters were as follows: name: 77877_73 n: 583435119178595691211498028354094852670593276016544554582023360518588724917133541375680240070991827336262450168816109961717201529797 m: 1000000000000000000000000 skew: 1 c6: 7000 c3: 90 c0: -7 type: snfs qintsize: 50000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [750000, 750000) Relations: rels:3741675, finalFF:257125 Initial matrix: 228049 x 257125 with sparse part having weight 36934181. Pruned matrix : 224720 x 225924 with weight 30177991. Total sieving time: 58.40 hours. Total relation processing time: 0.21 hours. Matrix solve time: 1.47 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,147,6,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 60.20 hours. --------- CPU info (if available) ----------

Oct 1, 2005

By Sinkiti Sibata / GGNFS-0.77.1
(4·10¹⁵¹-1)/3 = 1(3)_151<152> = 13 · C151
C151 = P41 · P110
P41 = 19189093080851200410980502927963609734231_<41>
P110 = 53449166217475541516043374758811117038579535369434935912619763380540917747872212270502296452889286207638946111_<110>

Number: 13333_151 N=1025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025641025 641025641025641025641 ( 151 digits) SNFS difficulty: 151 digits. Divisors found: r1=19189093080851200410980502927963609734231 (pp41) r2=53449166217475541516043374758811117038579535369434935912619763380540917747872212270502296452889286207638946111 (pp110) Version: GGNFS-0.77.1 Total time: 29.47 hours. Scaled time: 17.62 units (timescale=0.598). Factorization parameters were as follows: number: 13333_151 n: 102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564 1025641025641025641 m: 1000000000000000000000000000000 c5: 40 c0: -1 skew: 2 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1200000, 1900001) Relations: rels:5224649, finalFF:459283 Initial matrix: 353071 x 459283 with sparse part having weight 37699179. Pruned matrix : 325069 x 326898 with weight 18529479. Total sieving time: 25.90 hours. Total relation processing time: 0.30 hours. Matrix solve time: 3.12 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 29.47 hours. --------- CPU info (if available) ----------