Since June 16, 2000

STUDIO KAMADA

English only.

News and updates, October 2006

Oct 31, 2006 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1
10¹⁴³+9 = 1(0)₁₄₂9_<144> = 7 · 13 · C142
C142 = P59 · P83
P59 = 14123789326633390707175391575607972980529708650840213007567_<59>
P83 = 77804976659407440945486259813469379792634366567097067716248415916074333006508991397_<83>

Number: 10009_143 N=1098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901099 ( 142 digits) SNFS difficulty: 143 digits. Divisors found: r1=14123789326633390707175391575607972980529708650840213007567 (pp59) r2=77804976659407440945486259813469379792634366567097067716248415916074333006508991397 (pp83) Version: GGNFS-0.77.1 Total time: 14.91 hours. Scaled time: 8.92 units (timescale=0.598). Factorization parameters were as follows: name: 10009_143 n: 1098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901098901099 m: 10000000000000000000000000000 c5: 1000 c0: 9 skew: 1 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [650000, 1950001) Relations: rels:2708264, finalFF:268021 Initial matrix: 199881 x 268021 with sparse part having weight 25165854. Pruned matrix : 191247 x 192310 with weight 13144682. Total sieving time: 13.45 hours. Total relation processing time: 0.22 hours. Matrix solve time: 1.15 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 14.91 hours. --------- CPU info (if available) ----------

Oct 31, 2006

By Chris Monico / GGNFS-08
(8·10¹⁵⁴-71)/9 = (8)₁₅₃1_<154> = 66931 · 582031 · 174515111 · 69342185953_<11> · C125
C125 = P38 · P87
P38 = 31716109421076795373899516364671743827_<38>
P87 = 594516036272926696957983957018200081631523371414648045151308665913465157064353040222081_<87>

Number: c125 N=18855735659017004221926364859533618632308778279455693268834359906070907088429160187428975507074831009421689650151349620843987 ( 125 digits) SNFS difficulty: 155 digits. Divisors found: r1=31716109421076795373899516364671743827 (pp38) r2=594516036272926696957983957018200081631523371414648045151308665913465157064353040222081 (pp87) Version: GGNFS-08 Total time: 35.90 hours. Scaled time: 59.48 units (timescale=1.657).

Oct 30, 2006 (2nd)

By JMB / GGNFS-0.77.1-20060513-athlon-xp gnfs
(4·10¹⁸¹-13)/9 = (4)₁₈₀3_<181> = 3 · 827188008473580331_<18> · 10341603447151033621_<20> · 1860973789180998551990153_<25> · C119
C119 = P48 · P72
P48 = 726067165586600200426994691694728588706768743169_<48>
P72 = 128170200259701857704179587352956111803036733849614320791625723061356983_<72>

Number: Job N=93060174015228656729616238454217002066624174075285843608385241945839383503618594794008152364953724591856137946551699127 ( 119 digits) Divisors found: r1=726067165586600200426994691694728588706768743169 (pp48) r2=128170200259701857704179587352956111803036733849614320791625723061356983 (pp72) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 109.54 hours. Scaled time: 200.90 units (timescale=1.834). Factorization parameters were as follows: name: (4*10^181-13)/9 n: 93060174015228656729616238454217002066624174075285843608385241945839383503618594794008152364953724591856137946551699127 skew: 35804.230469 # norm 1.52E+016 c5: 22320 c4: -269603043 c3: -52175301422496 c2: -15944797089324958901 c1: -131609207918808280745515 c0: 7642729809721080297442975 #alpha -5.140000 Y1: 1270960327241 Y0: -83948695108610829227264 # Murphy_E 3.07E-010 # M 90961936046725712570246445405155753284738409683224429212522550955092555241968797291283361669678102998864944648970158616 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 10000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1750000, 3130001) Primes: RFBsize:250150, AFBsize:250327, largePrimes:5911345 encountered Relations: rels:5922142, finalFF:563897 Max relations in full relation-set: 28 Initial matrix: 500555 x 563897 with sparse part having weight 60164839. Pruned matrix : 453510 x 456076 with weight 46325804. Total sieving time: 103.43 hours. Total relation processing time: 0.52 hours. Matrix solve time: 5.35 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,48,48,2.5,2.5,60000 total time: 109.54 hours. --------- CPU info (if available) ----------

Oct 30, 2006

By Sinkiti Sibata / GGNFS-0.77.1
(43·10¹⁵⁴-7)/9 = 4(7)_154<155> = 19 · C154
C154 = P66 · P88
P66 = 698263010678625674370967526486806265752943801620969881754577082577_<66>
P88 = 3601250309102059914245749920964728989234812179604000200365723315889504010401022986601979_<88>

Number: 47777_154 N=2514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883 ( 154 digits) SNFS difficulty: 156 digits. Divisors found: r1=698263010678625674370967526486806265752943801620969881754577082577 (pp66) r2=3601250309102059914245749920964728989234812179604000200365723315889504010401022986601979 (pp88) Version: GGNFS-0.77.1 Total time: 68.58 hours. Scaled time: 40.26 units (timescale=0.587). Factorization parameters were as follows: name: 47777_154 n: 2514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883 m: 10000000000000000000000000000000 c5: 43 c0: -70 skew: 1.1 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1500000, 3200001) Relations: rels:5765318, finalFF:550075 Initial matrix: 432277 x 550075 with sparse part having weight 49724344. Pruned matrix : 410491 x 412716 with weight 27468631. Total sieving time: 61.33 hours. Total relation processing time: 0.45 hours. Matrix solve time: 6.59 hours. Time per square root: 0.21 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: 68.58 hours. --------- CPU info (if available) ----------

Oct 27, 2006 (2nd)

By JMB / GGNFS-0.77.1-20060513-athlon-xp gnfs
(16·10¹⁹¹-7)/9 = 1(7)_191<192> = 3 · 629989 · 25671759360749_<14> · 11323837291914005426115767_<26> · 3902932380637696095354177901_<28> · C119
C119 = P58 · P62
P58 = 3313559207083922318452043728233410351643032203699722342601_<58>
P62 = 25020053629257740914748280168854757559710770983903542575058857_<62>

Number: Job N=82905429064960492892446546401102851207709716257923855791406358121027685128379036667899534988442001145414894295493467057 ( 119 digits) Divisors found: r1=3313559207083922318452043728233410351643032203699722342601 (pp58) r2=25020053629257740914748280168854757559710770983903542575058857 (pp62) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 86.96 hours. Scaled time: 159.05 units (timescale=1.829). Factorization parameters were as follows: name: (16*10^191-7)/9 n: 82905429064960492892446546401102851207709716257923855791406358121027685128379036667899534988442001145414894295493467057 skew: 64828.738281 # norm 7.74E+016 c5: 17280 c4: 23663102248 c3: 1216620397219238 c2: -64977991546399907181 c1: 801562380717716146640790 c0: -7074472263971952664800082359 #alpha -6.600000 Y1: 4367385213937 Y0: -86337969377655390346892 # Murphy_E 3.08E-010 # M 25944347532134769767907568398236224281537579246278114917804371101060475961289806978069322558141325860930682671642234443 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 10000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1750000, 3040001) Primes: RFBsize:250150, AFBsize:251085, largePrimes:5868461 encountered Relations: rels:5909219, finalFF:607135 Max relations in full relation-set: 28 Initial matrix: 501314 x 607135 with sparse part having weight 61027499. Pruned matrix : 421447 x 424017 with weight 42368054. Total sieving time: 82.18 hours. Total relation processing time: 0.58 hours. Matrix solve time: 3.97 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,48,48,2.5,2.5,60000 total time: 86.96 hours. --------- CPU info (if available) ----------

Oct 27, 2006

By Sinkiti Sibata / GGNFS-0.77.1
(43·10¹⁵²-7)/9 = 4(7)_152<153> = 3 · 8629 · 879522223 · C140
C140 = P31 · P37 · P73
P31 = 1430176486021512778804762093129_<31>
P37 = 2634124550304617716630218784122614557_<37>
P73 = 5570208680054061570851852839330927864723474994741869020269931636097026509_<73>

Number: 47777_152 N=20984441024199006214282702098464189974691210272294309386562281479507447360215780310022944469827007599041064432596741706279115742469976314177 ( 140 digits) SNFS difficulty: 153 digits. Divisors found: r1=1430176486021512778804762093129 (pp31) r2=2634124550304617716630218784122614557 (pp37) r3=5570208680054061570851852839330927864723474994741869020269931636097026509 (pp73) Version: GGNFS-0.77.1 Total time: 55.54 hours. Scaled time: 33.10 units (timescale=0.596). Factorization parameters were as follows: name: 47777_152 n: 20984441024199006214282702098464189974691210272294309386562281479507447360215780310022944469827007599041064432596741706279115742469976314177 m: 1000000000000000000000000000000 c5: 4300 c0: -7 skew: 2 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1200000, 2600001) Relations: rels:5441857, finalFF:403012 Initial matrix: 352762 x 403012 with sparse part having weight 38799169. Pruned matrix : 345979 x 347806 with weight 27944683. Total sieving time: 49.59 hours. Total relation processing time: 0.40 hours. Matrix solve time: 5.37 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 55.54 hours. --------- CPU info (if available) ----------

Oct 26, 2006

By Yousuke Koide / GMP-ECM
10⁶⁵⁶+1 = 1(0)₆₅₅1_<657> = 353 · 449 · 641 · 1409 · 69857 · 100903134230125793_<18> · C623
C623 = P34 · C590
P34 = 1949975276463991211904463972906337_<34>
C590 = [50823695292702772906341828639455475186647084238747143611310950107698664508702621537825683410277773548418553874833180885510941098608107516138705610549253764670513600487368737266381728491047492823332668468416979823751543426920331292534858116250899476667931096593493578610079917954613498853005960271246538325723981011978624099775752021245226369977923645972435305810863664445813538162336277625018754170859794869301439617688692791374520418480663972891570617818368839585655305169743630905264600480140364320122421217972550689446678530923120039113856690785669930590009751858140096880310930568743361_<590>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Oct 24, 2006 (2nd)

By JMB / GGNFS-0.77.1-20060513-pentium4 gnfs
(5·10¹⁸⁵-17)/3 = 1(6)₁₈₄1_<186> = 11 · 29 · 593 · 1033 · 1499 · 2882608259_<10> · 3543071821004207029_<19> · 1137427574791532814978635687_<28> · C119
C119 = P57 · P63
P57 = 416163504929315546190282656125579228074066057762843035549_<57>
P63 = 117692311104550786192947019689157514283557182010799089717768293_<63>

Number: N N=48979244692501259904533934318356529766121780019559339790576785973107299044147705538529594775240417601599059313944047857 ( 119 digits) Divisors found: r1=416163504929315546190282656125579228074066057762843035549 (pp57) r2=117692311104550786192947019689157514283557182010799089717768293 (pp63) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 115.79 hours. Scaled time: 158.99 units (timescale=1.373). Factorization parameters were as follows: name: (5*10^185-17)/3 n: 48979244692501259904533934318356529766121780019559339790576785973107299044147705538529594775240417601599059313944047857 skew: 122278.929688 # norm 1.29E+017 c5: 9600 c4: 6283065260 c3: 2000094815017190 c2: -67480579476213504922 c1: -847972170400202950243923 c0: -45718757145201865256163772173 #alpha -6.430000 Y1: 3832867280899 Y0: -87406891867936911620456 # Murphy_E 2.76E-010 # M 7581874911340103816943540432161851288274241187794851548422255318280451895893905204460717843344170291847154658792726238 type: gnfs rlim: 3000000 alim: 3000000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 10000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 2620001) Primes: RFBsize:216816, AFBsize:216487, largePrimes:4292994 encountered Relations: rels:4649215, finalFF:507934 Max relations in full relation-set: 28 Initial matrix: 433379 x 507934 with sparse part having weight 60887804. Pruned matrix : 383677 x 385907 with weight 46743624. Total sieving time: 106.56 hours. Total relation processing time: 0.46 hours. Matrix solve time: 8.46 hours. Time per square root: 0.31 hours. Prototype def-par.txt line would be: gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3000000,3000000,26,26,48,48,2.5,2.5,10000 total time: 115.79 hours. --------- CPU info (if available) ----------

Oct 24, 2006

By Dirk Augustin / Oct 14, 2006
10³¹⁸¹⁰+9 = 1(0)₃₁₈₀₉9_<31811> is PRP. This is the only PRP for 10ⁿ+9 with 4562 < n < 39254.

Oct 21, 2006

By Wataru Sakai / GMP-ECM 6.1 B1=11000000
(52·10¹⁹²-7)/9 = 5(7)_192<193> = 29² · 124121 · C185
C185 = P32 · C154
P32 = 18595565132796813986844950129137_<32>
C154 = [2976529499611077203351314293501630935725085943516388594718960226957377562030460064235579076244868260455936858563466712545309238934826051949497196929491361_<154>]

Oct 20, 2006 (2nd)

By JMB / GGNFS-0.77.1-20060513-pentium4 gnfs
(4·10¹⁸³-31)/9 = (4)₁₈₂1_<183> = 3³ · 7 · 101450189547527_<15> · 5144414891929831963_<19> · 1494159724423093628331262781519_<31> · C118
C118 = P46 · P73
P46 = 1766892702122215773694321824469898688927028541_<46>
P73 = 1706709577193253910450975857316609717444200221315333520908743744458950411_<73>

Number: N N=3015572696584852809456973175599019254442494069685606449037092916837733527003570743285631033556963439554618401900680351 ( 118 digits) Divisors found: r1=1766892702122215773694321824469898688927028541 (pp46) r2=1706709577193253910450975857316609717444200221315333520908743744458950411 (pp73) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 7.89 hours. Scaled time: 10.99 units (timescale=1.394). Factorization parameters were as follows: name: (4*10^183-31)/9 n: 3015572696584852809456973175599019254442494069685606449037092916837733527003570743285631033556963439554618401900680351 skew: 80655.687500 # norm 2.93E+016 c5: 44160 c4: 75823687 c3: -1227681520676813 c2: 1934855151663165448 c1: 2180936122400030909134833 c0: 8766828659110871169453784725 #alpha -6.110000 Y1: 249093839953 Y0: -36886559257510036546034 # Murphy_E 3.58E-010 # M 1645930614903737644997169554295783841518726258894790408243495281749846408113031966724666382214204881428543513397336941 type: gnfs rlim: 3000000 alim: 3000000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 10000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 5585000 ) Primes: RFBsize:216816, AFBsize:216353, largePrimes:4290124 encountered Relations: rels:4641865, finalFF:510826 Max relations in full relation-set: 28 Initial matrix: 433255 x 510826 with sparse part having weight 62444546. Pruned matrix : 380371 x 382601 with weight 47424543. Total sieving time: 0.00 hours. Total relation processing time: 0.59 hours. Matrix solve time: 6.64 hours. Time per square root: 0.66 hours. Prototype def-par.txt line would be: gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3000000,3000000,26,26,48,48,2.5,2.5,10000 total time: 7.89 hours. --------- CPU info (if available) ----------

Oct 20, 2006

By Wataru Sakai / GMP-ECM 6.1 B1=11000000
(52·10¹⁹³-7)/9 = 5(7)_193<194> = 3 · 1517945766670785449_<19> · 7229865440639606423_<19> · C157
C157 = P29 · C128
P29 = 36201349029514598526708460117_<29>
C128 = [48476176164638862053734691122979671227372039614455965680139465155443601982618066197127877857347079214807473440402864044309127201_<128>]
(22·10¹⁸⁹-1)/3 = 7(3)_189<190> = 11419757 · 211184184100965653310251_<24> · C160
C160 = P40 · C120
P40 = 5247840149796055570797016942289983138483_<40>
C120 = [579432132513201923188799315527338302692526852393619136492994578653670372434846049946697734504501561737781423227202527993_<120>]

Oct 19, 2006 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4
(2·10¹⁶³+43)/9 = (2)₁₆₂7_<163> = 7 · 665141705436521827_<18> · 16929455156593115948878553_<26> · C118
C118 = P43 · P76
P43 = 6031404599401018735875679381997121151338791_<43>
P76 = 4674270295113837822854436114846620958627275146480609988485697911563517332841_<76>

Number: 22227_163 N=28192415356793158638192183338666628496972623324831542589743436403638771282467070408328673563565546545108383620701535231 ( 119 digits) SNFS difficulty: 163 digits. Divisors found: r1=6031404599401018735875679381997121151338791 (pp43) r2=4674270295113837822854436114846620958627275146480609988485697911563517332841 (pp76) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 123.25 hours. Scaled time: 75.30 units (timescale=0.611). Factorization parameters were as follows: name: 22227_163 n: 28192415356793158638192183338666628496972623324831542589743436403638771282467070408328673563565546545108383620701535231 m: 200000000000000000000000000000000 c5: 125 c0: 86 skew: 3 type: snfs Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2250000, 5050001) Primes: RFBsize:315948, AFBsize:316481, largePrimes:5868108 encountered Relations: rels:5997608, finalFF:752496 Max relations in full relation-set: 28 Initial matrix: 632494 x 752496 with sparse part having weight 52357200. Pruned matrix : 542953 x 546179 with weight 37194109. Total sieving time: 107.20 hours. Total relation processing time: 0.55 hours. Matrix solve time: 15.26 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000 total time: 123.25 hours. --------- CPU info (if available) ----------

Oct 19, 2006

By JMB / GGNFS-0.77.1-20060513-pentium4 gnfs
(43·10¹⁷⁵-7)/9 = 4(7)_175<176> = 14939 · 4317097 · 1960212386193323_<16> · 127940434931842043369211386141447_<33> · C118
C118 = P39 · P79
P39 = 763897337718851240158040328891174998761_<39>
P79 = 3866933145518429531145860572794691424526989665039376693712221630894313776948959_<79>

Number: N N=2953939934998311490528636347565898394866912376577013806908991905371744510519282906721459264905889799112985767185239799 ( 118 digits) Divisors found: r1=763897337718851240158040328891174998761 (pp39) r2=3866933145518429531145860572794691424526989665039376693712221630894313776948959 (pp79) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 54.19 hours. Scaled time: 75.38 units (timescale=1.391). Factorization parameters were as follows: name: (43*10^175-7)/9 n: 2953939934998311490528636347565898394866912376577013806908991905371744510519282906721459264905889799112985767185239799 skew: 27933.439453 # norm 2.76E+016 c5: 46440 c4: 15919347198 c3: 794873662952672 c2: -16331705097650427727 c1: 72617376145568288769948 c0: -3166591147057956099235500 #alpha -6.130000 Y1: 2146726319689 Y0: -36366385004763909404629 # Murphy_E 4.21E-010 # M 1451513041968703703828818440282867894869931362701179822260165269419519531044952989144692605747778864404447562205796047 type: gnfs rlim: 3000000 alim: 3000000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 20000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 1500000) Primes: RFBsize:216816, AFBsize:216593, largePrimes:4196009 encountered Relations: rels:4469126, finalFF:496294 Max relations in full relation-set: 28 Initial matrix: 433493 x 496294 with sparse part having weight 55279533. Pruned matrix : .Bye386919 x 389150 with weight 41507429. Total sieving time: 41.95 hours. Total relation processing time: 0.49 hours. Matrix solve time: 4.16 hours. Time per square root: 7.59 hours. Prototype def-par.txt line would be: gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3000000,3000000,26,26,48,48,2.5,2.5,10000 total time: 54.19 hours. --------- CPU info (if available) ----------

Note: Stage-1 was run on a half dozen various Win 2K/XP systems under a Win32 Service which did sieving and then reported the results via TCP to the server. The server was a Win XP system using the standard (unchanged factLat Perl script under Cygwin. After finishing enough sieving, the server then ran stage-2 to combine the relationships into a solution. The distributed solution is nearly ready for release and is undergoing final testing. This allows the usage of widely seperated sieving boxes connected via the Internet with no real limit to the number of boxes doing the sieving. The only real limit remains the ability of GGNFS running stage-2 on a single computer. (JMB)

Oct 17, 2006

By JMB / GGNFS-0.77.1-20060513-pentium4 gnfs, GMP-ECM
(28·10¹⁷³-1)/9 = 3(1)_173<174> = 53 · 103612676339_<12> · 9737493193419986671_<19> · 4029058309486985448887299_<25> · C118
C118 = P46 · P72
P46 = 8534554809469539304814207677240295290372836899_<46>
P72 = 169197978104796095779666677633728972685095582295334772633741546037171823_<72>

Number: (28*10^173-1)/9 N=1444029417786809326216074338636756742582966400392870610411306174183091069957309374175846325040369985779578551217496877 ( 118 digits) Divisors found: r1=8534554809469539304814207677240295290372836899 (pp46) r2=169197978104796095779666677633728972685095582295334772633741546037171823 (pp72) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 5.55 hours. Scaled time: 7.57 units (timescale=1.362). Factorization parameters were as follows: name: (28*10^173-1) / 9 n: 1444029417786809326216074338636756742582966400392870610411306174183091069957309374175846325040369985779578551217496877 skew: 194611.937500 # norm 2.85E+016 c5: 1680 c4: 1335413090 c3: 321482727796697 c2: -68089523444144920932 c1: -2302372693675166477282388 c0: 251690766419023337740020717303 #alpha -6.140000 Y1: 3444533872571 Y0: -61213817829518135028194 # Murphy_E 3.67E-010 # M 239252686453123260267081379725652920492612042247994112100599700325613153692251770206633906010643691349709478943063231 type: gnfs rlim: 3000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 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, 480000 ) Primes: RFBsize:216816, AFBsize:216947, largePrimes:4950686 encountered Relations: rels:5036597, finalFF:488485 Max relations in full relation-set: 28 Initial matrix: 433843 x 488485 with sparse part having weight 51885627. Pruned matrix : 394594 x 396827 with weight 39632489. Total sieving time: 0.00 hours. Total relation processing time: 0.97 hours. Matrix solve time: 4.29 hours. Time per square root: 0.29 hours. Prototype def-par.txt line would be: gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3000000,3000000,27,27,48,48,2.5,2.5,10000 total time: 5.55 hours. --------- CPU info (if available) ----------

(5·10¹⁹⁹-23)/9 = (5)₁₉₈3_<199> = 3 · 31277 · 34583 · 36830777 · 6174445327_<10> · 6305736184704221383_<19> · 724344547984221899382886622270430893_<36> · C118
C118 = P41 · P78
P41 = 15858988068329679345878746056908033966491_<41>
P78 = 103932934578622459308779680198050058529802658072383622797509303406164951216671_<78>

Oct 16, 2006

By Yousuke Koide / GMP-ECM
(10⁹⁹⁹-1)/9 = (1)_999<999> = 3³ · 37² · 757 · 1999 · 333667 · 2028119 · 96455449 · 247629013 · 427437692443_<12> · 440334654777631_<15> · 30557051518647307_<17> · 2212394296770203368013_<22> · 8845981170865629119271997_<25> · 90077814396055017938257237117_<29> · 2503678796850536532770633167883644999_<37> · [4136757950500351829215273898264330779279657730180289971062696133525101971148657576622167629405278071146511535383508907868849825502655065801803508961793912566261290961976951_<172>] · C634
C634 = P35 · P599
P35 = 68885090548207172944216819625900521_<35>
P599 = 16989834767951509031938751456470779957376208624594709376211656213370064684984633304388134960508271034832056618519143241563631532588441360500147367129958133789914094159571288306035042403779689292340510647516223418462257058336779201137214951212266048958064627771176958757849988307147846164903913010604988764934222058919014664774137590031035792137818601922602807016038065261064197179079525701612553643232430118896932477008910217562927802867516220097438300248900772708069422161298115050068864917478406641492193973323261629305188343912545008348449403435869162536203715623201231362280817617231040081308533_<599>
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Oct 14, 2006

By Wataru Sakai / GMP-ECM 6.1 B1=11000000
(52·10¹⁸⁹-7)/9 = 5(7)_189<190> = 193 · 936953 · 4752323308811190522323273_<25> · C157
C157 = P33 · P125
P33 = 221420394725445605000799427000151_<33>
P125 = 30364219319826735248650667358804337247970993171027903229829909448703653062603642525176895821064372165356594333176821379499831_<125>
(52·10¹⁷²-7)/9 = 5(7)_172<173> = 3 · 53 · 229 · 331 · 17419 · 7794933312767_<13> · 574391550268011338538164911_<27> · C122
C122 = P32 · P91
P32 = 14367225085697915795287524745117_<32>
P91 = 4278422527553913505771834755528035916005882974401794090104527392050825146837825931010046247_<91>

Oct 12, 2006

By Yousuke Koide / GMP-ECM
(10⁹³³-1)/9 = (1)_933<933> = 3 · 37 · 1867 · 3733 · 339613 · 4344673058714954477761314793437392900672885445361103905548950933_<64> · 2557410180456133012695296509537372979376491356924379552525114935669331084986752230647446546259197479934221837065635648510025350381215759674118823641087628274237766333894639357732286152115312924645292259846495854098673368096039697255340580355564267_<247> · C608
C608 = P36 · C572
P36 = 481990095942746727246571539537397351_<36>
C572 = [78968209816937478263795842683215577016210668185929748401436435310861329800142492283086732016766909763162151381418413878504379769468460785295342817558185727530083174996166240797880342488083669178503520526523380736471188636753000749537543105862022786061825823041600010019846303925381814720695174047893552825653768463736056901073303302448320439833336792060480962786440653551493748044022646053792698490482715162079526964365506374555421425625940882637068430487326265191809589604211734852371071652770674214608049631562009647437331939060116244949916713624889373626257566587128587_<572>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Oct 9, 2006 (4th)

By Bruce Dodson / GMP-ECM
(10³⁹³-1)/9 = (1)_393<393> = 3 · 37 · 787 · 80173 · 109517 · 141811693 · 446790173 · 7370364319027_<13> · 15594845538029429933_<20> · 7317723970031057677693_<22> · 131758351065116151205213_<24> · 180222062287834025451247081_<27> · 11983466231266295686798098306470812807267_<41> · C217
C217 = P49 · P169
P49 = 1100517845115354201024243897527295703743726722437_<49>
P169 = 8680060322508824594393450058221938248644256663178820249090487083301292519777205595423409349376525925423911644010932939670160279114134954869470847308423421566533831579067_<169>
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Oct 9, 2006 (3rd)

By Wataru Sakai / GGNFS-0.77.1-20060513-pentium4
10¹⁸³-9 = (9)₁₈₂1_<183> = C183
C183 = P59 · P62 · P63
P59 = 49314675241585004778040302476198275634070752715382741171333_<59>
P62 = 27179661213248372553517898319953454110361829996769269348594493_<62>
P63 = 746070354608195431221196594309881696831382401936346066887929639_<63>

Number: test N=999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 ( 183 digits) SNFS difficulty: 183 digits. Divisors found: r1=49314675241585004778040302476198275634070752715382741171333 (pp59) r2=27179661213248372553517898319953454110361829996769269348594493 (pp62) r3=746070354608195431221196594309881696831382401936346066887929639 (pp63) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 693.77 hours. Scaled time: 870.68 units (timescale=1.255). Factorization parameters were as follows: n: 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991 m: 1000000000000000000000000000000000000 c5: 1000 c0: -9 skew: 1 type: snfs Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3700000, 10400001) Primes: RFBsize:501962, AFBsize:500591, largePrimes:6582409 encountered Relations: rels:7042426, finalFF:1138240 Max relations in full relation-set: 28 Initial matrix: 1002620 x 1138240 with sparse part having weight 77666909. Pruned matrix : 890943 x 896020 with weight 60231765. Total sieving time: 658.07 hours. Total relation processing time: 1.06 hours. Matrix solve time: 34.33 hours. Time per square root: 0.32 hours. Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000 total time: 693.77 hours. --------- CPU info (if available) ----------

Oct 9, 2006 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 gnfs
(2·10¹⁶³+61)/9 = (2)₁₆₂9_<163> = 3² · 139 · 1210801 · 1115069503_<10> · 725285628261153897132220859_<27> · C118
C118 = P42 · P76
P42 = 761860097003061775609574934943524755379623_<42>
P76 = 2381064543231869191934548798422487616615874054481195444767670889236963622749_<76>

Number: 22229_163 N=1814038063877182841401857985549425415789637699634763116341145011895306527483066218905233296189598338648966492853843627 ( 118 digits) Divisors found: r1=761860097003061775609574934943524755379623 (pp42) r2=2381064543231869191934548798422487616615874054481195444767670889236963622749 (pp76) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 95.14 hours. Scaled time: 58.23 units (timescale=0.612). Factorization parameters were as follows: name: 22229_163 n: 1814038063877182841401857985549425415789637699634763116341145011895306527483066218905233296189598338648966492853843627 skew: 54556.16 # norm 5.22e+15 c5: 35760 c4: 824980868 c3: -243975418425104 c2: 1210152699479810801 c1: 365768834554650299254910 c0: -4225460881627121993335122775 # alpha -5.23 Y1: 1134037947163 Y0: -34757594460612935108244 # Murphy_E 3.82e-10 # M 145070186104097092653043400977547244110897557992933454442252958316216359431500264754146837604667943660512937007560201 type: gnfs rlim: 4500000 alim: 4500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 60000 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [2250000, 3990001) Primes: RFBsize:315948, AFBsize:315208, largePrimes:7659692 encountered Relations: rels:7760879, finalFF:780547 Max relations in full relation-set: 28 Initial matrix: 631240 x 780547 with sparse part having weight 65108804. Pruned matrix : 504499 x 507719 with weight 38951632. Polynomial selection time: 4.43 hours. Total sieving time: 75.34 hours. Total relation processing time: 0.92 hours. Matrix solve time: 13.94 hours. Time per square root: 0.53 hours. Prototype def-par.txt line would be: gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000 total time: 95.14 hours. --------- CPU info (if available) ----------

Oct 9, 2006

By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4
(14·10¹⁵³-41)/9 = 1(5)₁₅₂1_<154> = 3 · 11 · 88256925209_<11> · 9297581956571547150667_<22> · C119
C119 = P37 · P38 · P45
P37 = 5869281371990934517896039538832558131_<37>
P38 = 24106869046755270050566332204861288659_<38>
P45 = 406000940317690411891991058441288457615883581_<45>

Number: test N=57445072003404701363203335515060261736047876565777623202277926783180283144761034643442564878604284961558202284453114149 ( 119 digits) SNFS difficulty: 154 digits. Divisors found: r1=5869281371990934517896039538832558131 (pp37) r2=24106869046755270050566332204861288659 (pp38) r3=406000940317690411891991058441288457615883581 (pp45) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 34.66 hours. Scaled time: 29.67 units (timescale=0.856). Factorization parameters were as follows: n: 57445072003404701363203335515060261736047876565777623202277926783180283144761034643442564878604284961558202284453114149 m: 2000000000000000000000000000000 c5: 875 c0: -82 skew: 1 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2200001) Primes: RFBsize:176302, AFBsize:176584, largePrimes:5473280 encountered Relations: rels:5306437, finalFF:400078 Max relations in full relation-set: 0 Initial matrix: 352952 x 400078 with sparse part having weight 33257430. Pruned matrix : 331945 x 333773 with weight 24776358. Total sieving time: 29.50 hours. Total relation processing time: 0.46 hours. Matrix solve time: 4.46 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 34.66 hours. --------- CPU info (if available) ----------

Oct 8, 2006

By JMB / GGNFS-0.77.1-20060513-pentium4 gnfs
10¹⁸⁰+9 = 1(0)₁₇₉9_<181> = 29 · 53 · 67033 · 2271206017_<10> · 5186257364017_<13> · 23670431279329_<14> · 1153178324949098471581835646098710369_<37> · C101
C101 = P36 · P66
P36 = 280771938914481207966046774999018277_<36>
P66 = 107515366282598987181603343567825994793954957702377171456669085293_<66>

Number: Job N=30187297854265955340839026475771432703339043701378522512760624169899371628725359916608624530578900161 ( 101 digits) Divisors found: r1=280771938914481207966046774999018277 (pp36) r2=107515366282598987181603343567825994793954957702377171456669085293 (pp66) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 1.51 hours. Scaled time: 1.99 units (timescale=1.320). Factorization parameters were as follows: name: Job n: 30187297854265955340839026475771432703339043701378522512760624169899371628725359916608624530578900161 skew: 14419.32 # norm 2.67e+014 c5: 30000 c4: -200576340 c3: -19944828508384 c2: -76423963274765993 c1: 1256607135224133054124 c0: -2933090521390132407939712 # alpha -6.51 Y1: 23452030007 Y0: -15868703858252830905 # Murphy_E 2.94e-009 # M 26243756146532592332210597896072185256913651889324693570901958506917004720982464758064521831519658178 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 10000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [900000, 1440001) Primes: RFBsize:135072, AFBsize:133877, largePrimes:3811261 encountered Relations: rels:3721649, finalFF:307182 Max relations in full relation-set: 28 Initial matrix: 269029 x 307182 with sparse part having weight 22082602. Pruned matrix : 240697 x 242106 with weight 14550235. Total sieving time: 0.00 hours. Total relation processing time: 0.27 hours. Matrix solve time: 1.08 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 1.51 hours. --------- CPU info (if available) ----------

Note: A mix of 4 systems (XP & 2K) with an experimental network version of GGNFS. One system local, the other 3 systems remote over the Internet. Actual real time, exactly 4.5 hours. (JMB)

Oct 7, 2006 (2nd)

By Wataru Sakai / GMP-ECM 6.1 B1=11000000
10¹⁸⁰+9 = 1(0)₁₇₉9_<181> = 29 · 53 · 67033 · 2271206017_<10> · 5186257364017_<13> · 23670431279329_<14> · C137
C137 = P37 · C101
P37 = 1153178324949098471581835646098710369_<37>
C101 = [30187297854265955340839026475771432703339043701378522512760624169899371628725359916608624530578900161_<101>]
(4·10¹⁸³-1)/3 = 1(3)_183<184> = 31 · 191 · 1441447205041_<13> · C168
C168 = P34 · P134
P34 = 6072305590934333145116691628161281_<34>
P134 = 25727128498375098828468605178370279518924233409783280779712479401958175869912315139968289557372463400226652457116345975767906836633413_<134>

Oct 7, 2006

By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 gnfs
10¹⁸⁷+9 = 1(0)₁₈₆9_<188> = 131 · 889796277314453_<15> · 257182844103564007_<18> · 534221796617984999646462038876207_<33> · C120
C120 = P38 · P83
P38 = 46380071957938637799624457780838279939_<38>
P83 = 13463038988859045230601743027672415432613633469191464238601408561268969782958135733_<83>

Number: test N=624416717075815956418387439219885297129632171625703612920258713290457714163614874975484756782174120692018842001812960287 ( 120 digits) Divisors found: r1=46380071957938637799624457780838279939 (pp38) r2=13463038988859045230601743027672415432613633469191464238601408561268969782958135733 (pp83) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 108.78 hours. Scaled time: 95.62 units (timescale=0.879). Factorization parameters were as follows: name: test n: 624416717075815956418387439219885297129632171625703612920258713290457714163614874975484756782174120692018842001812960287 skew: 82032.68 # norm 1.58e+16 c5: 26640 c4: -1892851050 c3: -665282759993338 c2: 21579123426525373733 c1: 1604607886731191767427182 c0: 12012190188221992101476024128 # alpha -5.34 Y1: 1507813949081 Y0: -118573636331197106730999 # Murphy_E 2.79e-10 # M 194582865165137178428195865785239108272202113357042784592412946166876127374665336547701087884574524171915983078141962741 type: gnfs rlim: 4500000 alim: 4500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 60000 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [2250000, 4710001) Primes: RFBsize:315948, AFBsize:316939, largePrimes:7679259 encountered Relations: rels:7699054, finalFF:710267 Max relations in full relation-set: 0 Initial matrix: 632966 x 710267 with sparse part having weight 73630538. Pruned matrix : 573734 x 576962 with weight 53605846. Total sieving time: 83.27 hours. Total relation processing time: 1.75 hours. Matrix solve time: 22.99 hours. Time per square root: 0.77 hours. Prototype def-par.txt line would be: gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000 total time: 108.78 hours. --------- CPU info (if available) ----------

Oct 6, 2006

By JMB / GGNFS-0.77.1-20060513-athlon-xp gnfs
(5·10¹⁶²-17)/3 = 1(6)₁₆₁1_<163> = 164076642253592773_<18> · 3467585771022759954025112257_<28> · C118
C118 = P50 · P69
P50 = 13087620058046631959993084591838258467056180917457_<50>
P69 = 223827837558522390339892066815882054959737192972738012418729835888593_<69>

Number: Job N=2929373696380120915420844504125371244948839260830283456490946306945700548601185908936173210016579452797771199580868001 ( 118 digits) Divisors found: r1=13087620058046631959993084591838258467056180917457 (pp50) r2=223827837558522390339892066815882054959737192972738012418729835888593 (pp69) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 47.15 hours. Scaled time: 86.94 units (timescale=1.844). Factorization parameters were as follows: name: (5*10^162-17)/3 (C118) n: 2929373696380120915420844504125371244948839260830283456490946306945700548601185908936173210016579452797771199580868001 skew: 42442.109375 # norm 1.58E+016 c5: 113220 c4: -13331106708 c3: -598331550851393 c2: 14672009091871272899 c1: 638442542548238304495483 c0: -1094640139667582557540540821 #alpha -6.560000 Y1: 2615262625259 Y0: -30378841351670209238248 # Murphy_E 4.03E-010 # M 945153404266162509028427668802199907711894421324314351187289110756934010427599444509716626073746157422304913109119527 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.5 alambda: 2.5 qintsize: 50000 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, 3750001) Primes: RFBsize:250150, AFBsize:249604, largePrimes:7791659 encountered Relations: rels:7812331, finalFF:624982 Max relations in full relation-set: 28 Initial matrix: 499838 x 624982 with sparse part having weight 63103867. Pruned matrix : 408269 x 410832 with weight 41941917. Total sieving time: 42.72 hours. Total relation processing time: 0.32 hours. Matrix solve time: 3.87 hours. Time per square root: 0.24 hours. Prototype def-par.txt line would be: gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.5,2.5,60000 total time: 47.15 hours. --------- CPU info (if available) ----------

Oct 5, 2006

By Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4
(88·10¹⁷¹-7)/9 = 9(7)_171<172> = 3² · 19 · 1811 · 11839 · 824679440616849163_<18> · 75641005071705113898148003_<26> · C119
C119 = P50 · P70
P50 = 14605153717126806279150957554605672217739146622139_<50>
P70 = 2927264666988950529424877716042538664876915437450385858565497463678093_<70>

Number: 97777_171 N=42753150432087633563269806313292842264358298521714558766823452062563630797240050069307805296959170412010015283803100927 ( 119 digits) SNFS difficulty: 173 digits. Divisors found: r1=14605153717126806279150957554605672217739146622139 (pp50) r2=2927264666988950529424877716042538664876915437450385858565497463678093 (pp70) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 385.43 hours. Scaled time: 235.50 units (timescale=0.611). Factorization parameters were as follows: name: 97777_171 n: 42753150432087633563269806313292842264358298521714558766823452062563630797240050069307805296959170412010015283803100927 m: 20000000000000000000000000000000000 c5: 55 c0: -14 skew: 3 type: snfs Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [3700000, 11300001) Primes: RFBsize:501962, AFBsize:502197, largePrimes:6536889 encountered Relations: rels:7002442, finalFF:1146396 Max relations in full relation-set: 28 Initial matrix: 1004225 x 1146396 with sparse part having weight 71985085. Pruned matrix : 881319 x 886404 with weight 54141652. Total sieving time: 331.63 hours. Total relation processing time: 1.33 hours. Matrix solve time: 52.03 hours. Time per square root: 0.43 hours. Prototype def-par.txt line would be: snfs,173,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000 total time: 385.43 hours. --------- CPU info (if available) ----------

Oct 2, 2006

By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4
(10¹⁶⁰+71)/9 = (1)₁₅₉9_<160> = 3 · 6781 · 935971 · 10662763 · 54488692536470399_<17> · C126
C126 = P34 · P92
P34 = 7705207815128361758535915747767663_<34>
P92 = 13035257023255755892253709177324288688206891999314832662653855898078395052424282312810258233_<92>

Number: test N=100439364287797115559198333140766663985000303404901034584222277865427662296609088955539445318007939959959632657299956316919479 ( 126 digits) SNFS difficulty: 160 digits. Divisors found: r1=7705207815128361758535915747767663 (pp34) r2=13035257023255755892253709177324288688206891999314832662653855898078395052424282312810258233 (pp92) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 64.35 hours. Scaled time: 56.11 units (timescale=0.872). Factorization parameters were as follows: n: 100439364287797115559198333140766663985000303404901034584222277865427662296609088955539445318007939959959632657299956316919479 m: 100000000000000000000000000000000 c5: 1 c0: 71 skew: 2.35 type: snfsFactor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 3800001) Primes: RFBsize:283146, AFBsize:283453, largePrimes:5686050 encountered Relations: rels:5720090, finalFF:636577 Max relations in full relation-set: 0 Initial matrix: 566663 x 636577 with sparse part having weight 38066033. Pruned matrix : 514471 x 517368 with weight 28552678. Total sieving time: 51.02 hours. Total relation processing time: 0.42 hours. Matrix solve time: 12.62 hours. Time per square root: 0.30 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: 64.35 hours. --------- CPU info (if available) ----------