News and updates, September 2006

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News and updates, September 2006	2006-10-02(Mon) 03:38

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News and updates, September 2006

Sep 27, 2006: By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4
10¹⁷³-9 = (9)₁₇₂1_<173> = 401 · 2528185841_<10> · C161
C161 = P45 · P117
P45 = 938580727415304869460365420846237262713037883_<45>
P117 = 105093292974603519781220816145515742537483095614362298755215504949519619870717052285912811121252640366779911913175797_<117>

Number: 99991_173 N=98638539366573120452994767723440582424050055416812167532315793178419311373542771635535734084350490583679502593832805512478586901259119729035900095445164099717751 ( 161 digits) SNFS difficulty: 173 digits. Divisors found: r1=938580727415304869460365420846237262713037883 (pp45) r2=105093292974603519781220816145515742537483095614362298755215504949519619870717052285912811121252640366779911913175797 (pp117) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 255.28 hours. Scaled time: 222.86 units (timescale=0.873). Factorization parameters were as follows: n: 98638539366573120452994767723440582424050055416812167532315793178419311373542771635535734084350490583679502593832805512478586901259119729035900095445164099717751 m: 10000000000000000000000000000000000 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, 9700001) Primes: RFBsize:501962, AFBsize:500591, largePrimes:6358041 encountered Relations: rels:6796903, finalFF:1124380 Max relations in full relation-set: 0 Initial matrix: 1002620 x 1124380 with sparse part having weight 61398959. Pruned matrix : 897151 x 902228 with weight 46452392. Total sieving time: 207.68 hours. Total relation processing time: 1.52 hours. Matrix solve time: 45.57 hours. Time per square root: 0.50 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: 255.28 hours. --------- CPU info (if available) ----------
Sep 20, 2006 (2nd): By CWI / gnfs
10³⁹⁶+1 = 1(0)₃₉₅1_<397> = 73 · 137 · 617 · 2377 · 3169 · 16369 · 98641 · 432961 · 761113 · 99990001 · 6796152793_<10> · 24387741577_<11> · 99677548081_<11> · 440718109921_<12> · 3199044596370769_<16> · 126197002179733470481_<21> · 283830826522232279893972777_<27> · 4987445373502665124237014313_<28> · 16205834846012967584927082656402106953_<38> · 7408727338313716781446937691661250885891761_<43> · C141
C141 = P69 · P73
P69 = 246288943607463575049631057704872789315648893038409344335438892115177_<69>
P73 = 3286441734725167632640591449151190304019453738946987847768004461574472857_<73>
Reference: Factorizations of Repunit Numbers (Yousuke Koide)
Sep 20, 2006: By Yousuke Koide / GMP-ECM
(10⁶¹⁷-1)/9 = (1)₆₁₇_<617> = C617
C617 = P31 · C586
P31 = 4830562365700424178611903148293_<31>
C586 = [2300169270146668925037321150876838558648667950628240672650039331746387974782871253313969194853396587686058063292655000320957266896220069555631724155204278453926330052442955420796251175701773298213899837780766062880369630179988196955676879181343546242395734859492490033529658820766340472502868595502146307641275074456945435446896412683895393487125218380817138534097945963671721164306273869369942045979928375831793037151313223825888601824572075094230007167441099574805037126062025169064291518766436994915997184460232574847196621162803220266629118550960504767813084206134721484308826030427_<586>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)
Sep 18, 2006 (3rd): By JMB / GGNFS-0.77.1 gnfs
(8·10¹⁵⁶-71)/9 = (8)₁₅₅1_<156> = 7 · 47 · 131 · 248692069 · 9944396663_<10> · 9275005532447911_<16> · C117
C117 = P31 · P37 · P50
P31 = 2997698735605426418767872380233_<31>
P37 = 9764529913019020615309018869039972997_<37>
P50 = 30717538201460534340297361939081901505386210927107_<50>

Number: Job N=899136715284523369077591605553594215443688063801386230671576796657095902988937771674709332494070529673951870737835207 ( 117 digits) Divisors found: r1=2997698735605426418767872380233 (pp31) r2=9764529913019020615309018869039972997 (pp37) r3=30717538201460534340297361939081901505386210927107 (pp50) Version: GGNFS-0.77.1 Total time: 41.67 hours. Scaled time: 77.09 units (timescale=1.850). Factorization parameters were as follows: name: (8*10^156-71)/9 n: 899136715284523369077591605553594215443688063801386230671576796657095902988937771674709332494070529673951870737835207 skew: 26671.449219 # norm 2.20E+016 c5: 475200 c4: 25292363578 c3: -734548944339791 c2: -19516094989828822425 c1: -162675718473930164799925 c0: 455080907979280906821907451 #alpha -6.580000 Y1: 343208536379 Y0: -18004860957275713061334 # Murphy_E 4.14E-010 # M 739616504969869649068527192358617520744048083453378070391281540997102668229365593228562839239521216353745679411815636 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4 qintsize: 50000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Sieved special-q in [1750000, 3550001) Relations: rels:6527129, finalFF:568546 Initial matrix: 500690 x 568546 with sparse part having weight 49461972. Pruned matrix : 475185 x 477752 with weight 34016748. Total sieving time: 37.60 hours. Total relation processing time: 0.22 hours. Matrix solve time: 3.61 hours. Time per square root: 0.25 hours. Prototype def-par.txt line would be: gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,49,49,2.4,2.4,100000 total time: 41.67 hours. --------- CPU info (if available) ----------
Sep 18, 2006 (2nd): By Yousuke Koide / GMP-ECM
10¹⁰⁷⁰+1 = 1(0)₁₀₆₉1_<1071> = 101 · 2141 · 3541 · 6421 · 27961 · 40882343106721_<14> · 10719760477926601_<17> · 96252210267521261_<17> · 1044374808061138338437701_<25> · 2421825498886875706568085804897442030525256100180294305383840413574930314582991559155197335837338973747281007884658776715423100656032123324942160620509168628560523446063044557248001192491268292405581_<199> · C381 · [45694159383400420895364062596466617852011611775786881006869558599910610477217486868157712852442098496522223654849953527635815397518621032760219197455320181715888758085627187505475337742196481586876017626037509524302125956337784834421608468635159467331874295244291090287619654281670689896547808944858108979299754064139473542218852080477844583741540567121079524887709382309414572330079377484133964448440781_<404>]

C381 = P40 · C341
P40 = 2663175124735692788546303920893311173981_<40>
C341 = [56025976983785216427301670566879779317040561350457827417120594801025302395071738849640118305957601394748668668688506204426236050310120629885748911472915942193623343473886452313329016411247009778894661048613349991077945420288986786603484482370957104815945360455226140581889842852067952305461502335440826258942522067467072165653391816299579621_<341>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Sep 18, 2006

By Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 gnfs
5·10¹⁶⁰-1 = 4(9)₁₆₀_<161> = 19 · 436091 · 2329189 · 1033904918067164428884577564259_<31> · C118
C118 = P49 · P69
P49 = 6893933938446466919399636517410130127156761488611_<49>
P69 = 363485282102468445025331961873781689545727542437808306501301663929371_<69>

Number: 49999_160
N=2505843522411995360881620202892235691372910031817756477061988171397055319833605473171594643548876245306856441524893681
  ( 118 digits)
Divisors found:
 r1=6893933938446466919399636517410130127156761488611 (pp49)
 r2=363485282102468445025331961873781689545727542437808306501301663929371 (pp69)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 101.60 hours.
Scaled time: 68.58 units (timescale=0.675).
Factorization parameters were as follows:
name: 49999_160
n: 2505843522411995360881620202892235691372910031817756477061988171397055319833605473171594643548876245306856441524893681
skew: 67698.81
# norm 1.66e+16
c5: 43680
c4: 2257503728
c3: -777745474760110
c2: -6995506859892789237
c1: 1061094916189007052816270
c0: 6870339507820636323602079525
# alpha -6.12
Y1: 1479919241581
Y0: -35623294165211846579056
# Murphy_E 3.92e-10
# M 2441904005236875944325738509808338119467647459205288901605343286851365346903917443586164924402372617797036892016430170
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, 4170001)
Primes: RFBsize:315948, AFBsize:315757, largePrimes:7681791 encountered
Relations: rels:7773988, finalFF:761206
Max relations in full relation-set: 28
Initial matrix: 631791 x 761206 with sparse part having weight 66536489.
Pruned matrix : 524261 x 527483 with weight 42459606.
Total sieving time: 84.05 hours.
Total relation processing time: 0.97 hours.
Matrix solve time: 16.09 hours.
Time per square root: 0.49 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: 101.60 hours.
 --------- CPU info (if available) ----------

Sep 16, 2006

By JMB / GGNFS-0.77.1 gnfs
(82·10¹⁶³+71)/9 = 9(1)₁₆₂9_<164> = 3² · 11² · 395287 · 2377426606649_<13> · 150235770371064075681776231_<27> · C117
C117 = P46 · P72
P46 = 1380055841093701458474306253109586399637999751_<46>
P72 = 429391857648325781478819024438910645718621748253085861588269453741208257_<72>

Number: Job
N=592584741265647161919373632559337423859197124960778106705162031198827682993772730378812360822463487801493429405144007
  ( 117 digits)
Divisors found:
 r1=1380055841093701458474306253109586399637999751 (pp46)
 r2=429391857648325781478819024438910645718621748253085861588269453741208257 (pp72)
Version: GGNFS-0.77.1
Total time: 44.05 hours.
Scaled time: 81.27 units (timescale=1.845).
Factorization parameters were as follows:
name: (82*10^163+71)/9
n: 592584741265647161919373632559337423859197124960778106705162031198827682993772730378812360822463487801493429405144007
skew: 18073.009766
# norm 4.72E+015
c5: 310800
c4: 16468673320
c3: -198783222359184
c2: -4542315464963551881
c1: 32947377273969925276064
c0: -76038780804607144144203495
#alpha -5.490000
Y1: 19557325663
Y0: -18032414674158987800432
# Murphy_E 4.32E-010
# M 462678572950758850991351445594612693415045523695436613693612378778682584519992700519503425655894148746364718950202916
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1750000, 3650001)
Relations: rels:6680093, finalFF:602897
Initial matrix: 500010 x 602897 with sparse part having weight 56108267.
Pruned matrix : 465300 x 467864 with weight 33835212.
Total sieving time: 40.09 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.48 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,49,49,2.4,2.4,100000
total time: 44.05 hours.
 --------- CPU info (if available) ----------

Sep 15, 2006

Tyler Cadigan certified 239 prime numbers by using PRIMO 2.2.0 beta 6. All the prime numbers under 2000 digits in our tables had been completely certified.
Newly certified prime numbers are: 10¹³⁸³+7, (10¹⁴⁵²+71)/9, (10¹⁶⁷⁹+71)/9, (11·10¹¹⁷⁹+7)/9, (11·10¹⁵⁹⁶+7)/9, (11·10¹⁰⁸⁴+43)/9, (4·10¹²⁰⁵+17)/3, (4·10¹⁸³⁵+17)/3, (13·10¹⁴⁴³+23)/9, (13·10¹¹¹¹+41)/9, (14·10¹³²³+31)/9, (5·10¹⁰⁸³-11)/3, (5·10¹²⁹⁶+1)/3, (5·10¹³⁵⁶+1)/3, (5·10¹³⁹⁸+7)/3, (16·10¹⁷⁵⁶-7)/9, 2·10¹³⁷⁰-3, 2·10¹⁴⁸⁸+3, 2·10¹⁸¹⁹+3, (19·10¹³⁴⁴+17)/9, (19·10¹⁵⁷³+17)/9, (2·10¹⁰¹¹+7)/9, (2·10¹¹⁷⁸+7)/9, (2·10¹²¹⁷+7)/9, (2·10¹¹⁶⁸+43)/9, (2·10¹⁶⁹⁵+43)/9, (7·10¹⁰⁴⁹-1)/3, (7·10¹⁰⁰⁶+17)/3, (22·10¹⁸⁰¹-13)/9, (22·10¹⁹⁴¹+23)/9, (23·10¹⁷⁴⁶-41)/9, (23·10¹²⁷⁷+13)/9, (23·10¹⁶⁶⁵+13)/9, (23·10¹⁹⁷⁹+13)/9, (8·10¹¹⁹⁰+7)/3, (25·10¹²⁴¹-7)/9, (25·10¹⁴¹⁷+11)/9, (26·10¹³⁰⁷-71)/9, (26·10¹²³⁷+1)/9, 3·10¹¹³⁷+7, (28·10¹⁵⁰⁵-1)/9, (28·10¹⁸⁰⁵+53)/9, (29·10¹⁰⁰⁵-11)/9, (10¹⁷³²-7)/3, (10¹⁹¹⁸-7)/3, (31·10¹³³⁴+23)/9, (31·10¹⁴⁸²+41)/9, (32·10¹⁹⁶⁵+13)/9, (32·10¹⁰⁵²+31)/9, (32·10¹¹⁶³+31)/9, (32·10¹⁴⁸⁵+31)/9, (32·10¹⁷³¹+31)/9, (32·10¹⁹⁷⁰+31)/9, (11·10¹⁰⁸⁸-17)/3, (11·10¹²¹⁹-17)/3, (11·10¹⁶⁵⁶-17)/3, (34·10¹¹⁸⁵+11)/9, (35·10¹⁶⁰⁹-71)/9, (35·10¹⁶⁶⁸-71)/9, (35·10¹⁶⁷⁴-71)/9, (35·10¹¹²⁷+1)/9, (35·10¹⁵¹⁸+1)/9, (35·10¹⁷⁶¹+1)/9, 4·10¹⁶⁰⁹-9, 4·10¹⁷³⁷+3, (37·10¹⁸⁷¹+71)/9, (13·10¹⁰⁴⁰-7)/3, (13·10¹⁸⁸⁷-7)/3, (13·10¹²⁴⁶-1)/3, (13·10¹⁷⁵²-1)/3, (13·10¹⁸⁶⁰+11)/3, (4·10¹³¹⁰+23)/9, (4·10¹⁰⁴⁴+41)/9, (41·10¹⁴⁵⁶-23)/9, (41·10¹²¹⁷+13)/9, (41·10¹⁶⁴⁰+13)/9, (41·10¹⁴⁵⁰+31)/9, (14·10¹⁰⁶³-17)/3, (14·10¹⁵⁰⁹-11)/3, (14·10¹⁶⁰⁸+1)/3, (14·10¹⁹⁰⁴+1)/3, (43·10¹⁰⁴¹-7)/9, (43·10¹⁰⁸⁹-7)/9, (43·10¹⁰⁹³-7)/9, (43·10¹²⁹⁷-7)/9, (43·10¹²⁷¹+11)/9, (43·10¹⁴¹²+11)/9, (44·10¹⁷⁰⁶-17)/9, (44·10¹⁰⁹⁰+1)/9, 5·10¹⁰⁹¹-3, 5·10¹³⁶⁶-3, 5·10¹⁷¹⁴-3, 5·10¹⁷⁷⁴-3, 5·10¹⁰⁷⁷+3, 5·10¹¹⁷⁷+3, 5·10¹⁵⁵²+3, 5·10¹¹⁹⁹+9, (46·10¹²³⁵-1)/9, (46·10¹⁷²⁷-1)/9, (46·10¹⁸¹²-1)/9, (46·10¹⁰⁴⁸+17)/9, (47·10¹⁶⁴¹-11)/9, (47·10¹⁶⁴⁶-11)/9, (47·10¹³⁰⁴+43)/9, (47·10¹⁶⁴⁴+43)/9, (16·10¹⁷⁰⁵-1)/3, (49·10¹⁷⁹⁹-31)/9, (49·10¹⁷⁸²+23)/9, (49·10¹⁰⁷⁷+41)/9, (49·10¹³⁸³+41)/9, (49·10¹⁵⁶⁶+41)/9, (49·10¹⁹⁶⁰+41)/9, (5·10¹⁰⁰²+31)/9, (17·10¹⁷⁷⁷-11)/3, (17·10¹²⁵²+7)/3, (17·10¹⁸⁹³+7)/3, (52·10¹⁰⁹⁷-61)/9, (52·10¹²²⁶-7)/9, (52·10¹³²⁴+11)/9, (52·10¹⁶⁰⁰+11)/9, (53·10¹¹¹⁵-71)/9, (53·10¹⁴¹⁹-71)/9, (53·10¹⁶⁸⁹-71)/9, (53·10¹²⁰¹+1)/9, 6·10¹⁰²²-7, (55·10¹¹⁹⁵+53)/9, (19·10¹²⁷²-7)/3, (19·10¹⁰⁰⁸+11)/3, (19·10¹⁵¹⁷+11)/3, (58·10¹³⁴⁰-31)/9, (58·10¹⁵⁷⁵-13)/9, (58·10¹²³⁴+23)/9, (58·10¹⁵³⁸+23)/9, (59·10¹³⁶³-41)/9, (59·10¹⁸⁷⁶-41)/9, (59·10¹³³²-23)/9, (59·10¹³⁹⁵-23)/9, (59·10¹⁸¹¹-23)/9, (59·10¹⁴⁸⁹+13)/9, (59·10¹⁴⁸⁸+31)/9, (2·10¹⁶⁰⁰-17)/3, (61·10¹⁰⁵⁵-43)/9, (61·10¹⁹⁹⁷-43)/9, (61·10¹¹⁹³-7)/9, (61·10¹⁷³⁰-7)/9, (61·10¹⁸¹¹-7)/9, (61·10¹⁸⁷¹-7)/9, (62·10¹⁰²⁷-71)/9, (62·10¹⁶⁰⁵-53)/9, (62·10¹³⁶²-17)/9, 7·10¹²⁵⁵-9, 7·10¹²⁵⁹-9, 7·10¹³⁸⁴-3, 7·10¹⁵⁹⁴-3, 7·10¹⁰⁴⁸+3, 7·10¹⁹⁷⁴+3, 7·10¹⁰⁵⁸+9, 7·10¹⁵⁶³+9, 7·10¹⁶⁹⁵+9, 7·10¹⁸¹⁶+9, 7·10¹⁹³⁷+9, (64·10¹⁷²⁴+71)/9, (65·10¹¹³²-11)/9, (65·10¹⁵⁷⁰-11)/9, (65·10¹⁸⁵¹+61)/9, (22·10¹⁰⁸⁹-7)/3, (22·10¹⁶⁰⁷-7)/3, (22·10¹⁰⁷⁹-1)/3, (22·10¹⁵⁹⁵+17)/3, (67·10¹³¹⁵-31)/9, (68·10¹³⁴⁶-41)/9, (68·10¹⁸⁴³+31)/9, (23·10¹¹⁵⁷-11)/3, (23·10¹³⁴⁴+7)/3, (7·10¹⁰⁶⁷-61)/9, (71·10¹³¹⁴-53)/9, (71·10¹⁷²⁸-53)/9, (71·10¹⁷²⁸+1)/9, (71·10¹⁸⁷⁶+1)/9, (71·10¹⁸⁸⁴+1)/9, 8·10¹¹⁵⁷-9, 8·10¹⁴²⁷-9, 8·10¹⁸⁷⁶-7, 8·10¹³⁵⁹+3, (73·10¹⁷⁴⁶-1)/9, (73·10¹⁴⁶¹+53)/9, (73·10¹⁶¹⁴+71)/9, (74·10¹¹⁵⁴+7)/9, (74·10¹²⁴⁶+7)/9, (74·10¹⁸⁷⁴+43)/9, (74·10¹⁰⁶⁷+61)/9, (25·10¹⁹²⁵-1)/3, (25·10¹⁴²⁰+17)/3, (25·10¹⁴⁶²+17)/3, (76·10¹⁶¹⁴-31)/9, (76·10¹³³⁹-13)/9, (76·10¹⁷⁹⁷-13)/9, (77·10¹⁰⁷⁴-41)/9, (77·10¹²¹¹-23)/9, (77·10¹⁰⁵⁶+13)/9, (77·10¹⁸⁵⁶+31)/9, (26·10¹¹⁷⁶-11)/3, (26·10¹⁴⁷³+7)/3, (79·10¹³¹⁹-61)/9, (79·10¹²²⁷-43)/9, (8·10¹⁰⁹⁶-71)/9, (8·10¹⁴¹⁹-71)/9, 9·10¹⁰⁶¹-7, 9·10¹¹⁸⁶-7, 9·10¹⁸⁵³-7, 9·10¹³⁵⁰+7, 9·10¹⁷³⁶+7, (82·10¹⁹⁰⁹+53)/9, (83·10¹⁸¹⁰-11)/9, (83·10¹³⁷³+7)/9, (28·10¹⁰²⁵+11)/3, (28·10¹¹⁷²+11)/3, (28·10¹³⁵³+11)/3, (85·10¹²⁹⁰-13)/9, (85·10¹⁹¹⁵+23)/9, (86·10¹⁴¹⁶-41)/9, (86·10¹⁴⁵⁰-41)/9, (86·10¹⁴⁴²-23)/9, (86·10¹⁷²¹-23)/9, (29·10¹¹³¹-17)/3, (29·10¹¹⁹⁸-17)/3, (29·10¹⁷⁴³-17)/3, (29·10¹⁸⁷²-17)/3, (29·10¹⁴⁰⁸+1)/3, (29·10¹⁴⁸⁶+1)/3, (29·10¹⁷¹²+1)/3, (88·10¹⁰³¹-43)/9, (88·10¹²³⁹-43)/9, (88·10¹⁸⁹¹-7)/9, (89·10¹¹⁹²-71)/9, (89·10¹²⁶⁰-71)/9, (89·10¹³⁹²-53)/9, 10¹¹⁰⁷-9 and 10¹⁸⁸⁷-3.

Sep 14, 2006

By Wataru Sakai / GMP-ECM 6.1 B1=11000000
(4·10¹⁸¹-1)/3 = 1(3)₁₈₁_<182> = 13 · 208003 · 947369 · 6213997 · C162
C162 = P30 · C133
P30 = 422657489810930235663875844391_<30>
C133 = [1981741514598812229481879734997465766050310558827137636411795585696942843981824920305180687606156525827556280138909164422933883661169_<133>]

Sep 13, 2006

By Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 gnfs
(19·10¹⁵⁶-1)/9 = 2(1)₁₅₆_<157> = 71 · 6632063 · 36137897 · 72099682374588477659537_<23> · C118
C118 = P43 · P75
P43 = 4636228306457607462635241942913928692255657_<43>
P75 = 371144524930028738274438333409653087743425848528036989882492056181504067359_<75>

Number: 21111_156
N=1720710752267360410105609345232545624387885928118481566071559188882648454506534550677196332416770769659285549776799863
  ( 118 digits)
Divisors found:
 r1=4636228306457607462635241942913928692255657 (pp43)
 r2=371144524930028738274438333409653087743425848528036989882492056181504067359 (pp75)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 95.69 hours.
Scaled time: 58.56 units (timescale=0.612).
Factorization parameters were as follows:
name: 21111_156
n: 1720710752267360410105609345232545624387885928118481566071559188882648454506534550677196332416770769659285549776799863
skew: 67470.35
# norm 7.69e+15
c5: 8340
c4: 2693958160
c3: -247736409110981
c2: -9971288712667080996
c1: 310344041495595923871180
c0: 5692810027268370676923538416
# alpha -5.31
Y1: 297831307213
Y0: -46015927782010312498585
# Murphy_E 3.88e-10
# M 22695345206128828176637561883451475757938048504662292121030122801492708956969441634842119491414876978104227342224742
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:316687, largePrimes:7668538 encountered
Relations: rels:7774387, finalFF:785989
Max relations in full relation-set: 28
Initial matrix: 632712 x 785989 with sparse part having weight 63385380.
Pruned matrix : 502602 x 505829 with weight 37903759.
Total sieving time: 80.36 hours.
Total relation processing time: 1.43 hours.
Matrix solve time: 13.36 hours.
Time per square root: 0.54 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: 95.69 hours.
 --------- CPU info (if available) ----------

Sep 11, 2006

By JMB / GGNFS-0.77.1 gnfs
(79·10¹⁸²-7)/9 = 8(7)₁₈₂_<183> = 115987387 · 125687914650272813477483495359_<30> · 277453739305469829129656557217_<30> · C117
C117 = P48 · P70
P48 = 162056010817029360137027687776827583842235554323_<48>
P70 = 1339135644904339985823718669445723597191456382468572443486293907060559_<70>

Number: Job
N=217014980556087308878927231813617367028075041392377799114208275145971398575415608280897569212675022064944352895246557
  ( 117 digits)
Divisors found:
 r1=162056010817029360137027687776827583842235554323 (pp48)
 r2=1339135644904339985823718669445723597191456382468572443486293907060559 (pp70)
Version: GGNFS-0.77.1
Total time: 42.65 hours.
Scaled time: 79.12 units (timescale=1.855).
Factorization parameters were as follows:
name: (79*10^182-7)/9
n: 217014980556087308878927231813617367028075041392377799114208275145971398575415608280897569212675022064944352895246557
skew: 61590.828125
# norm 2.24E+016
c5: 20880
c4: -12338727134
c3: -419279908850309
c2: 33963095371967508346
c1: 681561752337410900249080
c0: -23423277003549404626500902592
#alpha -6.490000
Y1: 2658245483993
Y0: -25313793572045121558227
# Murphy_E 4.27E-010
# M 102689576836686222011314360928127318722076257797759486725450542555420135684534362258338233999715520749962921487761097
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1750000, 3600001)
Relations: rels:6609022, finalFF:597261
Initial matrix: 500200 x 597261 with sparse part having weight 53144885.
Pruned matrix : 466084 x 468649 with weight 32422170.
Total sieving time: 38.83 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.36 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,49,49,2.4,2.4,100000
total time: 42.65 hours.
 --------- CPU info (if available) ----------

Sep 8, 2006 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 gnfs
8·10¹⁶⁷-1 = 7(9)₁₆₇_<168> = 9439 · 6271129 · 106683139 · 4006996902901_<13> · 288689376711364702949_<21> · C117
C117 = P46 · P71
P46 = 6699442777335423652252069571185108736736497909_<46>
P71 = 16346846671469550453943562736383940599589650231774542042153858211713471_<71>

Number: 79999_167
N=109514763865386290777458175990679805223116309295754300737131171375962407278963151743982808794463348440192106698632139
  ( 117 digits)
Divisors found:
 r1=6699442777335423652252069571185108736736497909 (pp46)
 r2=16346846671469550453943562736383940599589650231774542042153858211713471 (pp71)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 84.68 hours.
Scaled time: 56.99 units (timescale=0.673).
Factorization parameters were as follows:
name: 79999_167
n: 109514763865386290777458175990679805223116309295754300737131171375962407278963151743982808794463348440192106698632139
skew: 36968.17
# norm 4.75e+15
c5: 30660
c4: -6699269768
c3: -93580883140749
c2: 8089962192932196080
c1: 67664030510233170685222
c0: -1238997054605988332371740160
# alpha -5.37
Y1: 1305639979501
Y0: -20444727018117514523559
# Murphy_E 4.51e-10
# M 39792006408851603576345681438263979568746439464916972834789019409408685336844465229572147209599156983171569402045178
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, 3870001)
Primes: RFBsize:315948, AFBsize:315999, largePrimes:7638500 encountered
Relations: rels:7740528, finalFF:787770
Max relations in full relation-set: 28
Initial matrix: 632032 x 787770 with sparse part having weight 65396655.
Pruned matrix : 497525 x 500749 with weight 38439370.
Total sieving time: 69.89 hours.
Total relation processing time: 1.17 hours.
Matrix solve time: 13.17 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 84.68 hours.
 --------- CPU info (if available) ----------

Sep 8, 2006

By JMB / GGNFS-0.77.1 gnfs
(73·10¹⁵²-1)/9 = 8(1)₁₅₂_<153> = 5231 · 1054888361_<10> · 183000140980702502916941_<24> · C117
C117 = P47 · P71
P47 = 24501822758582821147734188172261373770858670363_<47>
P71 = 32782291808142593311323070496639770907390327179373591214478907883163487_<71>

Number: Job
N=803225903503251375441492928863425757906879320546286373789569303265743856991535394189124497517331138811415542970635781
  ( 117 digits)
Divisors found:
 r1=24501822758582821147734188172261373770858670363 (pp47)
 r2=32782291808142593311323070496639770907390327179373591214478907883163487 (pp71)
Version: GGNFS-0.77.1
Total time: 48.48 hours.
Scaled time: 89.70 units (timescale=1.850).
Factorization parameters were as follows:
name: (73*10^152-1)/9
n: 803225903503251375441492928863425757906879320546286373789569303265743856991535394189124497517331138811415542970635781
skew: 23007.630859
# norm 3.68E+015
c5: 84780
c4: -9423911058
c3: -132469474889920
c2: 4155757346501018329
c1: 27456603732540635947216
c0: -406511063813649227120699245
#alpha -5.050000
Y1: 231241072423
Y0: -24849001857844668661608
# Murphy_E 4.22E-010
# M 187023802232222326968134068717950088092301513770255333477897951266691344534879367302085971353460158407144614502961620
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1750000, 3550001)
Relations: rels:6514381, finalFF:562397
Initial matrix: 500042 x 562397 with sparse part having weight 49028961.
Pruned matrix : 475951 x 478515 with weight 34662345.
Total sieving time: 44.20 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.79 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,49,49,2.4,2.4,100000
total time: 48.48 hours.
 --------- CPU info (if available) ----------

Sep 7, 2006

By Yousuke Koide / GMP-ECM
10¹³⁶⁵+1 = 1(0)₁₃₆₄1_<1366> = 7² · 11 · 13² · 127 · 131 · 157 · 211 · 241 · 859 · 2161 · 2689 · 2731 · 6397 · 9091 · 15601 · 102103 · 216451 · 459691 · 909091 · 925081 · 4147571 · 5528251 · 21705503 · 1058313049_<10> · 6097697971_<10> · 29970369241_<11> · 388847808493_<12> · 2475034612051_<13> · 1081846114760321_<16> · 1661378260814161_<16> · 46205575684179731_<17> · 265212793249617641_<18> · 18276168846821336356291_<23> · 8396862596258693901610602298557167100076327481_<46> · 50678387411703889101759125785290439894389920385627096501794498837_<65> · 63054129911571801941639263405768461425999152026392552531582926655481271974023945336611_<86> · 8912569571903773640423787742857701624820835919699625957033503601168338923351027082278688276455237261214743926133405384757726021771250608797_<139> · [7348023713666465741898930375855789029789464909885364967534063144593321690065366703003692450137448338937174103088086714517623508982957303799165476749049702132200218043013256379700020843782902271375636103812410575633147508310537651713291289362891_<244>] · C557
C557 = P34 · C523
P34 = 5953395590224596670581957589121611_<34>
C523 = [2004998801509816834528353258112094373105529161478551283683705464440700442984709214710195875363759710481731526743624317554533712190365917140323245459612168736799912101299519392426066712075092932531520557875236443696387407579531930581235067950866698744918032256986617935009109949405241428228768640408192661482239626787198518652265480559638316410906287531592065772701689250814432033269924896413227127820439562911129321577880582441778297527405930723705963499683331617178413325297388589135242867960612562900048832019334801463851_<523>]
10¹⁴⁹⁰+1 = 1(0)₁₄₈₉1_<1491> = 101 · 3541 · 8941 · 10729 · 27961 · 62581 · 607921 · 14118155281_<11> · 4672884738461_<13> · 72286688991301_<14> · 171815892427926701_<18> · 136916416686052955621_<21> · 2336398996447692315465181_<25> · 43449727365272099794386367962241_<32> · [110870679844269144354635709949582391774770890704083103791132633566371413253392265378550591815806580691669808595307539634355488864836833845471616794677024940025967620229919340559408262151273358247434378152195260280636870443948931086228877135378433246056449430881437009_<267>] · [1605214440709619357797351581919800889833597416421394148739815672950024771161380823847360755208273655227157019000219766490046550207325155036864476602837123952047383195091299758360303040822482624716944164463773873136231905729534814986307576307291846151794615420341552185181793289760376366513402259834628028778708825939521820938434639815230158850634413284564675945198522078882483236008364966125191436705573836033815481341830782769681163394145324260216840198126909976526595416165428782222227927578041059481_<502>] · C565
C565 = P33 · C532
P33 = 288402714464678603661515072629901_<33>
C532 = [4687503701333508851256425417962904885375200005043201496848030933628747825778284688210275818169480640608168077056902317515395120792907032865219785785076968504013049506348485769792263508395503545914909970684711332090901533468360290476533363489724126165274721454889372181951580540850435434732716298746125463875071075773117230503169402354871600441390151925280448418028302390337639009056554495130407551605694121397154681442893998340626858000137971953882007629207560203701156525511475684644675528789377433417628326649954345383225734414041_<532>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Sep 6, 2006

Larry Soule found the new record of near-repdigit prime. Congratulations!
The Top Twenty: Near-repdigit (Chris Caldwell)
The Prime Database: 99*10^139670-1 (Chris Caldwell)

Sep 5, 2006 (2nd)

By JMB / GGNFS-0.77.1 gnfs
(25·10¹⁶⁵-1)/3 = 8(3)₁₆₅_<166> = 13 · 83 · 4639 · 32467 · 51827 · 4107116293025635448404972857043840170431_<40> · C111
C111 = P49 · P62
P49 = 5999449387037714495954196079889132518450585874639_<49>
P62 = 40153768547251570734358449133185923567697636094197901682467253_<62>

Number: Job
N=240900502098062695718454982659129074938309425445966501601113646284209039650805899058746429435186090844480696667
  ( 111 digits)
Divisors found:
 r1=5999449387037714495954196079889132518450585874639 (pp49)
 r2=40153768547251570734358449133185923567697636094197901682467253 (pp62)
Version: GGNFS-0.77.1
Total time: 20.41 hours.
Scaled time: 37.59 units (timescale=1.842).
Factorization parameters were as follows:
name: (25*10^165-1)/3
n: 240900502098062695718454982659129074938309425445966501601113646284209039650805899058746429435186090844480696667
skew: 25466.730469
# norm 3.39E+015
c5: 27120
c4: -5390987914
c3: 8497381520849
c2: 1595269104010676103
c1: 24596920797753575326655
c0: 132349367513539707807132675
#alpha -6.330000
Y1: 314787248407
Y0: -1547793846076789196966
# Murphy_E 9.05E-010
# M 14119416429294653906379593036307881965427918338110091922459921111477241917334756269198169367046346216231247206
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 27
lpba: 27
mfbr: 48
mfba: 48
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [750000, 1750001)
Relations: rels:5560796, finalFF:280603
Initial matrix: 228357 x 280603 with sparse part having weight 33124374.
Pruned matrix : 219090 x 220295 with weight 21292064.
Total sieving time: 19.29 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.84 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,27,27,48,48,2.4,2.4,50000
total time: 20.41 hours.
 --------- CPU info (if available) ----------

Sep 5, 2006

By wataru sakai / GMP-ECM 6.1
(4·10¹⁵⁷-31)/9 = (4)₁₅₆1_<157> = 29 · 41² · 229 · 1029337 · C144
C144 = P41 · P104
P41 = 11185420019696678677811865661633748545271_<41>
P104 = 34578520511371229487723717650783373547939991261364004863630803290628246801392406565091826983685186774023_<104>

Sep 4, 2006

By JMB / GGNFS-0.77.1 gnfs
(5·10¹⁷⁰-41)/9 = (5)₁₆₉1_<170> = 3⁷ · 313 · 908057 · 3670254134669_<13> · 24536274467882790513965408261_<29> · C117
C117 = P45 · P73
P45 = 153844545425862687340722165776442412015106329_<45>
P73 = 6451109343674756752111870167141420157744082464822706132191420041611257973_<73>

Number: Job
N=992467984470178341940502766726206764199893272446874595614385542559268311663027354996771104251058134036124229044011117
  ( 117 digits)
Divisors found:
 r1=153844545425862687340722165776442412015106329 (pp45)
 r2=6451109343674756752111870167141420157744082464822706132191420041611257973 (pp73)
Version: GGNFS-0.77.1
Total time: 39.49 hours.
Scaled time: 71.48 units (timescale=1.810).
Factorization parameters were as follows:
name: (5*10^170-41)/9
n: 992467984470178341940502766726206764199893272446874595614385542559268311663027354996771104251058134036124229044011117
skew: 21869.570313
# norm 7.97E+015
c5: 279420
c4: 24104791726
c3: -411335644337987
c2: -11129444714046459234
c1: 94497930495376867528312
c0: 473069290404730440743411628
#alpha -6.040000
Y1: 2040608782597
Y0: -20421660632318944258709
# Murphy_E 4.31E-010
# M 600250544765919998160706580103596564837744526025385686492718238874592079176948007294093484952357404053668839267024766
type: gnfs
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1500000, 3200001)
Relations: rels:6636270, finalFF:511212
Initial matrix: 434513 x 511212 with sparse part having weight 51974095.
Pruned matrix : 411595 x 413831 with weight 34111046.
Total sieving time: 36.03 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.02 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3000000,3000000,27,27,49,49,2.4,2.4,100000
total time: 39.49 hours.
 --------- CPU info (if available) ----------

Sep 3, 2006 (2nd)

By Wataru Sakai / GMP-ECM 6.1 B1=11000000
(4·10¹⁷⁷-1)/3 = 1(3)₁₇₇_<178> = 4409 · 22961 · 43665368763292497076610163467_<29> · C141
C141 = P36 · P105
P36 = 629137278840301384011004218471056683_<36>
P105 = 479430089604487894618926344059780662233800055303705449563176659285817775888589892056977346367120055373397_<105>
(25·10¹⁶⁵-1)/3 = 8(3)₁₆₅_<166> = 13 · 83 · 4639 · 32467 · 51827 · C150
C150 = P40 · C111
P40 = 4107116293025635448404972857043840170431_<40>
C111 = [240900502098062695718454982659129074938309425445966501601113646284209039650805899058746429435186090844480696667_<111>]

Sep 3, 2006

By JMB / GGNFS-0.77.1 gnfs
(29·10¹⁵⁷+7)/9 = 3(2)₁₅₆3_<158> = 3 · 11 · 10067 · 854403763 · 975070907 · 1066205252151981181_<19> · C117
C117 = P58 · P59
P58 = 9862368846537342478020282947582970294867350950735042705057_<58>
P59 = 11071846866820804070085218362918235577295451087767095667769_<59>

Number: Job
N=109194637612965582757157054678170405369236672431925016095884673701161331105134448751110568439919685652183431528207833
  ( 117 digits)
Divisors found:
 r1=9862368846537342478020282947582970294867350950735042705057 (pp58)
 r2=11071846866820804070085218362918235577295451087767095667769 (pp59)
Version: GGNFS-0.77.1
Total time: 39.11 hours.
Scaled time: 70.76 units (timescale=1.809).
Factorization parameters were as follows:
name: (29*10^157+7)/9
n: 109194637612965582757157054678170405369236672431925016095884673701161331105134448751110568439919685652183431528207833
skew: 68782.632813
# norm 1.60E+016
c5: 37440
c4: -7349052604
c3: -559191156216077
c2: 28413876272894978735
c1: 1584022261071821381770041
c0: 4521208474751966537468523345
#alpha -6.460000
Y1: 1266860677159
Y0: -19632436184550177958918
# Murphy_E 4.58E-010
# M 38032488552444801230624772198371492566513504629713595090916085391814893942557929506764709525238802175151229697766689
type: gnfs
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1500000, 3200001)
Relations: rels:6627335, finalFF:516251
Initial matrix: 433511 x 516251 with sparse part having weight 51455107.
Pruned matrix : 408909 x 411140 with weight 32653240.
Total sieving time: 35.77 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.90 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3000000,3000000,27,27,49,49,2.4,2.4,100000
total time: 39.11 hours.
 --------- CPU info (if available) ----------

Sep 1, 2006 (3rd)

By Yousuke Koide / GMP-ECM
10⁷⁴⁹+1 = 1(0)₇₄₈1_<750> = 11 · 1499 · 28463 · 32957 · 74687 · 392263 · 795653 · 909091 · 280267614929_<12> · 194749234429526109677_<21> · 75477148962003664034473049_<26> · 628293465283949443537007319053023_<33> · 9140689231828972552925524522037823147045937571379494322686226282352288670801988451_<82> · C542
C542 = P35 · C507
P35 = 56551536406585191369576818265496921_<35>
C507 = [228020479574439748034731153191840116996782247349077540725301759571900604992195906919299727529964169457434823051161598425307013757847295654890840215377471075792693206151779377142860486225077961374792309623921202576927179385859455798305838359439471140797559276496307070424120514928275979572460313570875861453835674283860562132374210839334869812450578929519584579066252591802632127979694097389410891779196128461569361161421596684619548820343893072038813674553976083993845844401013665766500188220965881996874493_<507>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Sep 1, 2006 (2nd)

By Wataru Sakai / GMP-ECM 6.1 B1=11000000
(8·10¹⁶³+1)/9 = (8)₁₆₂9_<163> = 3² · 23 · 47 · 16210981 · 14927571306573495683_<20> · C133
C133 = P36 · P98
P36 = 371170022616402508958072914658993689_<36>
P98 = 10172036962400690910532121592646379027538365586549967767020563977473616469588683434425556511531503_<98>
(25·10¹⁸³-1)/3 = 8(3)₁₈₃_<184> = 13 · 264283155301751969_<18> · C166
C166 = P34 · C132
P34 = 3549264066261561396021839666828027_<34>
C132 = [683388405517072877233927862242245555525777832139299820368098214942685744600601296640806157169483609696082817414193194488909381546507_<132>]

Sep 1, 2006

By JMB / GGNFS-0.77.1 gnfs
(28·10¹⁶⁸+17)/9 = 3(1)₁₆₇3_<169> = 666228053 · 12470878883_<11> · 33138415031_<11> · 32490475068028908608957_<23> · C117
C117 = P53 · P65
P53 = 16385707085601640431344222972305731862833563422720619_<53>
P65 = 21224749018633649910137929505034946199285667288473150875648596319_<65>

Number: Job
N=347782520384741861506700307174557396694002746074477872300429362821720689080996955971489594953074389906021259448801461
  ( 117 digits)
Divisors found:
 r1=16385707085601640431344222972305731862833563422720619 (pp53)
 r2=21224749018633649910137929505034946199285667288473150875648596319 (pp65)
Version: GGNFS-0.77.1
Total time: 40.43 hours.
Scaled time: 73.50 units (timescale=1.818).
Factorization parameters were as follows:
name: (28*10^168+17)/9
n: 347782520384741861506700307174557396694002746074477872300429362821720689080996955971489594953074389906021259448801461
skew: 26425.080078
# norm 8.62E+015
c5: 182280
c4: -2058113582
c3: 164545497386647
c2: 5984825622362747370
c1: -183822693896929580967684
c0: -46177562120726179069454520
#alpha -6.580000
Y1: 322427535091
Y0: -18034901040942785950027
# Murphy_E 4.68E-010
# M 75060498289421360939860192635877806438078360018099897025350154299777835814830611224896812915499159086862264755479752
type: gnfs
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1500000, 3200001)
Relations: rels:6864582, finalFF:591946
Initial matrix: 433812 x 591946 with sparse part having weight 63602478.
Pruned matrix : 388948 x 391181 with weight 31094194.
Total sieving time: 37.23 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.78 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3000000,3000000,27,27,49,49,2.4,2.4,100000
total time: 40.43 hours.
 --------- CPU info (if available) ----------

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