194960461485038834727296645467655591808226295435757088586794057750949454544474226631511051570795485756565910575024330070570657<126>

664828967518681180559161523946360773815099210144871733241<57>
293249047514706248599001187604405935292797388117330624974946437107177<69>

Number: n
N=194960461485038834727296645467655591808226295435757088586794057750949454544474226631511051570795485756565910575024330070570657
  ( 126 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=664828967518681180559161523946360773815099210144871733241 (pp57)
 r2=293249047514706248599001187604405935292797388117330624974946437107177 (pp69)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 43.28 hours.
Scaled time: 57.26 units (timescale=1.323).
Factorization parameters were as follows:
name: KA_7_156_1
n: 194960461485038834727296645467655591808226295435757088586794057750949454544474226631511051570795485756565910575024330070570657
skew: 0.61
deg: 5
c5: 700
c0: -61
m: 10000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1800001)
Primes: RFBsize:250150, AFBsize:249972, largePrimes:7243078 encountered
Relations: rels:6755304, finalFF:568264
Max relations in full relation-set: 48
Initial matrix: 500189 x 568264 with sparse part having weight 39667025.
Pruned matrix : 443449 x 446013 with weight 25263932.
Total sieving time: 37.86 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.05 hours.
Total square root time: 0.09 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 43.28 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

1085569033338840408013131654057437980958196731834798671260505438875015376737214784796927512253614762436894276184058334354521<124>

19452134249342894566208338343315587<35>
55807194183615693406796837297244974493029600283991480615392292095590717453155106764298483<89>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 1085569033338840408013131654057437980958196731834798671260505438875015376737214784796927512253614762436894276184058334354521 (124 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=940631252
Step 1 took 16984ms
Step 2 took 14050ms
********** Factor found in step 2: 19452134249342894566208338343315587
Found probable prime factor of 35 digits: 19452134249342894566208338343315587
Probable prime cofactor 55807194183615693406796837297244974493029600283991480615392292095590717453155106764298483 has 89 digits

Pentium 4 2.4GHz

425138149416509152936468469057432760716495875973743706845687489483085137998721704393181552396021328054747980751240505902199833839482493503911<141>

28619057539265783684510425072387757<35>

14855071619085049328530992857412182242694733285669768452444236785568599716426578493792762350613756076351523<107>

Using B1=1000000, B2=839549779, polynomial Dickson(13), sigma=1703227947
Step 1 took 14317ms
Step 2 took 9624ms
********** Factor found in step 2: 28619057539265783684510425072387757
Found probable prime factor of 35 digits: 28619057539265783684510425072387757
Composite cofactor 14855071619085049328530992857412182242694733285669768452444236785568599716426578493792762350613756076351523 has 107 digits

ECM-GMP (v6.0.1)

AMD-3800+, WinXP Pro

14855071619085049328530992857412182242694733285669768452444236785568599716426578493792762350613756076351523<107>

797403209935797539434823436791693<33>
18629310032851632076163322531678663673503016373642711951312754825678195311<74>

Number: 77771_159
N=14855071619085049328530992857412182242694733285669768452444236785568599716426578493792762350613756076351523
  ( 107 digits)
Divisors found:
 r1=797403209935797539434823436791693 (pp33)
 r2=18629310032851632076163322531678663673503016373642711951312754825678195311 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.49 hours.
Scaled time: 22.36 units (timescale=2.132).
Factorization parameters were as follows:
name: 77771_159
n: 14855071619085049328530992857412182242694733285669768452444236785568599716426578493792762350613756076351523
skew: 17252.59
# norm 4.53e+14
c5: 24360
c4: 1552062034
c3: -12155455866301
c2: -501419086915678603
c1: 4107034064874536958069
c0: -110865863932083856105047
# alpha -5.86
Y1: 159151859009
Y0: -227528404968347614694
# Murphy_E 1.61e-09
# M 13177898755741697868442278760361905096607553508203604547219497232778306454584708936145593728319772417207638
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1440001)
Primes: RFBsize:135072, AFBsize:135225, largePrimes:4558581 encountered
Relations: rels:4599743, finalFF:363106
Max relations in full relation-set: 28
Initial matrix: 270381 x 363106 with sparse part having weight 34524026.
Pruned matrix : 218438 x 219853 with weight 18421094.
Polynomial selection time: 0.54 hours.
Total sieving time: 9.58 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 10.49 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).

Core 2 Quad Q6600

7155269344781764284984156189307983236226106511295103751405499335582132270264744965756925278544413779004395379740365940917918838802003475416538893999795563733<157>

133767292172935551579599522862258137018645605013343066361981<60>
53490425264281855146460077769801026058944569491640678743898434821351499978338309471009601998689593<98>

Number: n
N=7155269344781764284984156189307983236226106511295103751405499335582132270264744965756925278544413779004395379740365940917918838802003475416538893999795563733
  ( 157 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=133767292172935551579599522862258137018645605013343066361981 (pp60)
 r2=53490425264281855146460077769801026058944569491640678743898434821351499978338309471009601998689593 (pp98)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 34.44 hours.
Scaled time: 49.48 units (timescale=1.437).
Factorization parameters were as follows:
name: KA_7_159_1
n: 7155269344781764284984156189307983236226106511295103751405499335582132270264744965756925278544413779004395379740365940917918838802003475416538893999795563733
skew: 1.54
deg: 5
c5: 7
c0: -61
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1600001)
Primes: RFBsize:250150, AFBsize:250502, largePrimes:7175624 encountered
Relations: rels:6724740, finalFF:585888
Max relations in full relation-set: 28
Initial matrix: 500717 x 585888 with sparse part having weight 36048352.
Pruned matrix : 426488 x 429055 with weight 21797147.
Total sieving time: 30.15 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 4.01 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 34.44 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

309641589354989811963470298850145512354451335196881518873130549876079129725567319309001532377479378313912496584797126939<120>

200987859740178940829671987628842189511<39>
1524315768672965057529391990531835488823<40>
1010681974438265260089808346426272470700763<43>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 309641589354989811963470298850145512354451335196881518873130549876079129725567319309001532377479378313912496584797126939 (120 digits)
Using B1=1932000, B2=2145643778, polynomial Dickson(6), sigma=2927999985
Step 1 took 23297ms
Step 2 took 13172ms
********** Factor found in step 2: 1524315768672965057529391990531835488823
Found probable prime factor of 40 digits: 1524315768672965057529391990531835488823
Composite cofactor 203134806920325175654885525513483664774580080235041609363980893235812401418296893 has 81 digits


Tue Jan 01 00:33:37 2008  
Tue Jan 01 00:33:37 2008  
Tue Jan 01 00:33:37 2008  Msieve v. 1.32
Tue Jan 01 00:33:37 2008  random seeds: 670f8060 b722816b
Tue Jan 01 00:33:37 2008  factoring 203134806920325175654885525513483664774580080235041609363980893235812401418296893 (81 digits)
Tue Jan 01 00:33:37 2008  searching for 15-digit factors
Tue Jan 01 00:33:38 2008  commencing quadratic sieve (80-digit input)
Tue Jan 01 00:33:38 2008  using multiplier of 5
Tue Jan 01 00:33:38 2008  using 64kb Opteron sieve core
Tue Jan 01 00:33:38 2008  sieve interval: 6 blocks of size 65536
Tue Jan 01 00:33:38 2008  processing polynomials in batches of 17
Tue Jan 01 00:33:38 2008  using a sieve bound of 1305691 (50294 primes)
Tue Jan 01 00:33:38 2008  using large prime bound of 129263409 (26 bits)
Tue Jan 01 00:33:38 2008  using trial factoring cutoff of 27 bits
Tue Jan 01 00:33:38 2008  polynomial 'A' values have 10 factors
Tue Jan 01 00:51:33 2008  50454 relations (25765 full + 24689 combined from 273397 partial), need 50390
Tue Jan 01 00:51:34 2008  begin with 299162 relations
Tue Jan 01 00:51:34 2008  reduce to 72049 relations in 2 passes
Tue Jan 01 00:51:34 2008  attempting to read 72049 relations
Tue Jan 01 00:51:35 2008  recovered 72049 relations
Tue Jan 01 00:51:35 2008  recovered 62785 polynomials
Tue Jan 01 00:51:35 2008  attempting to build 50454 cycles
Tue Jan 01 00:51:35 2008  found 50454 cycles in 1 passes
Tue Jan 01 00:51:35 2008  distribution of cycle lengths:
Tue Jan 01 00:51:35 2008     length 1 : 25765
Tue Jan 01 00:51:35 2008     length 2 : 24689
Tue Jan 01 00:51:35 2008  largest cycle: 2 relations
Tue Jan 01 00:51:35 2008  matrix is 50294 x 50454 with weight 1538986 (avg 30.50/col)
Tue Jan 01 00:51:35 2008  filtering completed in 4 passes
Tue Jan 01 00:51:35 2008  matrix is 42992 x 43056 with weight 1286275 (avg 29.87/col)
Tue Jan 01 00:51:35 2008  saving the first 48 matrix rows for later
Tue Jan 01 00:51:35 2008  matrix is 42944 x 43056 with weight 1002106 (avg 23.27/col)
Tue Jan 01 00:51:35 2008  matrix includes 64 packed rows
Tue Jan 01 00:51:35 2008  commencing Lanczos iteration
Tue Jan 01 00:52:18 2008  lanczos halted after 680 iterations (dim = 42920)
Tue Jan 01 00:52:18 2008  recovered 6 nontrivial dependencies
Tue Jan 01 00:52:18 2008  prp39 factor: 200987859740178940829671987628842189511
Tue Jan 01 00:52:18 2008  prp43 factor: 1010681974438265260089808346426272470700763
Tue Jan 01 00:52:18 2008  elapsed time 00:18:41

10660190680018543310314829284500778557127566665722021483978737750182625437355833389668633866274185248593522234318340586839263316436459011345255650994872117817<158>

2761925283898534955675154755036172189749839<43>
31324884696363766525451707222706492435165921240617655521<56>
123214995686345230412614529840111656059539641564894743216343<60>

Number: n
N=10660190680018543310314829284500778557127566665722021483978737750182625437355833389668633866274185248593522234318340586839263316436459011345255650994872117817
  ( 158 digits)
SNFS difficulty: 165 digits.
Divisors found:

Fri Oct 19 11:07:36 2007  prp43 factor: 2761925283898534955675154755036172189749839
Fri Oct 19 11:07:36 2007  prp56 factor: 31324884696363766525451707222706492435165921240617655521
Fri Oct 19 11:07:36 2007  prp60 factor: 123214995686345230412614529840111656059539641564894743216343
Fri Oct 19 11:07:36 2007  elapsed time 01:47:49 (Msieve 1.28)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 68.73 hours.
Scaled time: 89.90 units (timescale=1.308).
Factorization parameters were as follows:
name: KA_7_164_1
n: 10660190680018543310314829284500778557127566665722021483978737750182625437355833389668633866274185248593522234318340586839263316436459011345255650994872117817
skew: 1.54
deg: 5
c5: 7
c0: -61
m: 1000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2700000)
Primes: RFBsize:216816, AFBsize:217077, largePrimes:7393191 encountered
Relations: rels:6842637, finalFF:458263
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 68.48 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 68.73 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

186828984860120255606519839560874657226518689870717896574431922306201449144447043355099889582452640081134312356077616468363781250379975961703<141>

823035057767144134239967477480765928602729472785254183529<57>
227000032497982054005520830210122515119411890431796815636671279518904326397745213007<84>

Number: n
N=186828984860120255606519839560874657226518689870717896574431922306201449144447043355099889582452640081134312356077616468363781250379975961703
  ( 141 digits)
SNFS difficulty: 167 digits.
Divisors found:

Mon Jul 14 15:50:30 2008  prp57 factor: 823035057767144134239967477480765928602729472785254183529
Mon Jul 14 15:50:30 2008  prp84 factor: 227000032497982054005520830210122515119411890431796815636671279518904326397745213007
Mon Jul 14 15:50:30 2008  elapsed time 01:51:25 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 69.67 hours.
Scaled time: 126.80 units (timescale=1.820).
Factorization parameters were as follows:
name: KA_7_166_1
n: 186828984860120255606519839560874657226518689870717896574431922306201449144447043355099889582452640081134312356077616468363781250379975961703
skew: 0.61
deg: 5
c5: 700
c0: -61
m: 1000000000000000000000000000000000
type: snfs
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4300001)
Primes: RFBsize:380800, AFBsize:380053, largePrimes:8163761 encountered
Relations: rels:7710086, finalFF:765959
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 69.35 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,48,48,2.5,2.5,100000
total time: 69.67 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

4702603966176185072994490563553341300888053168984042721141631010851594552234845354868572296153874576177817548371320296371537959755115257464208145313149757110505147<163>

9004468253267221996176999390369665257953454115627<49>
522252267863776517383648685895265872874245070718524906770519125645126330038946823665531693031823946346738290819761<114>

Number: n
N=4702603966176185072994490563553341300888053168984042721141631010851594552234845354868572296153874576177817548371320296371537959755115257464208145313149757110505147
  ( 163 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Mar 29 12:07:22 2008  prp49 factor: 9004468253267221996176999390369665257953454115627
Sat Mar 29 12:07:22 2008  prp114 factor: 522252267863776517383648685895265872874245070718524906770519125645126330038946823665531693031823946346738290819761
Sat Mar 29 12:07:22 2008  elapsed time 01:18:21 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 53.48 hours.
Scaled time: 44.81 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_7_167_1
n: 4702603966176185072994490563553341300888053168984042721141631010851594552234845354868572296153874576177817548371320296371537959755115257464208145313149757110505147
type: snfs
deg: 5
c5: 7000
c0: -61
skew: 0.39
m: 1000000000000000000000000000000000
rlim: 3500000
alim: 3500000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5900423)
Primes: RFBsize:250150, AFBsize:250007, largePrimes:5947814 encountered
Relations: rels:5883970, finalFF:552579
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 53.23 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,48,48,2.5,2.5,100000
total time: 53.48 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

8632416125912358472599711150945987261239466130360599340201719910084255418766178636140990039845884947093500679833045032154108060156156409675885963645590464968677<160>

2283299320810328736384747634415821<34>
7182607341442258629005707341782603917<37>
526365474032812165742184427823758439905684973552785490890082763434216262625675882189775261<90>

Number: 77771_169
N=8632416125912358472599711150945987261239466130360599340201719910084255418766178636140990039845884947093500679833045032154108060156156409675885963645590464968677
  ( 160 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=2283299320810328736384747634415821 (pp34)
 r2=7182607341442258629005707341782603917 (pp37)
 r3=526365474032812165742184427823758439905684973552785490890082763434216262625675882189775261 (pp90)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 169.71 hours.
Scaled time: 340.62 units (timescale=2.007).
Factorization parameters were as follows:
n: 8632416125912358472599711150945987261239466130360599340201719910084255418766178636140990039845884947093500679833045032154108060156156409675885963645590464968677
m: 10000000000000000000000000000000000
c5: 7
c0: -610
skew: 2.44
type: snfsFactor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 9400001)
Primes: RFBsize:412849, AFBsize:413557, largePrimes:6523136 encountered
Relations: rels:6974496, finalFF:1087069
Max relations in full relation-set: 32
Initial matrix: 826471 x 1087069 with sparse part having weight 90460735.
Pruned matrix : 620311 x 624507 with weight 73420826.
Total sieving time: 165.44 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.97 hours.
Time per square root: 0.20 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: 169.71 hours.

262026336141488722740887471511504618353946493011121522733691596871647376350077584500144346575937690543468618961950015644602813919747929657<138>

102997828312150381163336333220697978781017456072607<51>
2543998649635394006349204860850381213757448610270145010190730784237897849483369671738151<88>

Number: 77771_170
N=262026336141488722740887471511504618353946493011121522733691596871647376350077584500144346575937690543468618961950015644602813919747929657
  ( 138 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=102997828312150381163336333220697978781017456072607
 r2=2543998649635394006349204860850381213757448610270145010190730784237897849483369671738151
Version: 
Total time: 31.20 hours.
Scaled time: 74.57 units (timescale=2.390).
Factorization parameters were as follows:
n: 262026336141488722740887471511504618353946493011121522733691596871647376350077584500144346575937690543468618961950015644602813919747929657
m: 10000000000000000000000000000000000
deg: 5
c5: 7
c0: -61
skew: 1.54
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 5100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10872906
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 911180 x 911428
Total sieving time: 27.40 hours.
Total relation processing time: 1.24 hours.
Matrix solve time: 1.88 hours.
Time per square root: 0.68 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 31.20 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672387)
Calibrating delay using timer specific routine.. 5344.57 BogoMIPS (lpj=2672286)
Calibrating delay using timer specific routine.. 5237.81 BogoMIPS (lpj=2618908)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

794879823783000459297146595802866396258287289283368570900870245484647858993845972343965939158115233217484416191400328069663743260194300173826749173229706743<156>

4697092831087200551529024233831603689378002454075748867575435175236949613467<76>
169228042188601079552332909893272905914334638988209627060854725312063782925308629<81>

Number: 77771_173
N=794879823783000459297146595802866396258287289283368570900870245484647858993845972343965939158115233217484416191400328069663743260194300173826749173229706743
  ( 156 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=4697092831087200551529024233831603689378002454075748867575435175236949613467 (pp76)
 r2=169228042188601079552332909893272905914334638988209627060854725312063782925308629 (pp81)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 278.56 hours.
Scaled time: 497.22 units (timescale=1.785).
Factorization parameters were as follows:
n: 794879823783000459297146595802866396258287289283368570900870245484647858993845972343965939158115233217484416191400328069663743260194300173826749173229706743
m: 10000000000000000000000000000000000
c5: 7000
c0: -61
skew: 0.39
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, 13600001)
Primes: RFBsize:501962, AFBsize:502027, largePrimes:6884572 encountered
Relations: rels:7500187, finalFF:1264391
Max relations in full relation-set: 32
Initial matrix: 1004056 x 1264391 with sparse part having weight 98282831.
Pruned matrix : 783753 x 788837 with weight 77243787.
Total sieving time: 270.20 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 7.94 hours.
Time per square root: 0.29 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: 278.56 hours.
 --------- CPU info (if available) ----------

259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257<174>

592183130436863192470465165361108333811673611186266348002248596759<66>
437802507254807238882928297138447646164159872834322448723319030478316704747682896028097705022390728332298223<108>

Number: n
N=259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257
  ( 174 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=592183130436863192470465165361108333811673611186266348002248596759 (pp66)
 r2=437802507254807238882928297138447646164159872834322448723319030478316704747682896028097705022390728332298223 (pp108)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 333.18 hours.
Scaled time: 397.82 units (timescale=1.194).
Factorization parameters were as follows:
name: KA_7_173_1
n: 259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257
type: snfs
skew: 2.44
deg: 5
c5: 7
c0: -610
m: 100000000000000000000000000000000000
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 11600001)
Primes: RFBsize:380800, AFBsize:381368, largePrimes:8890149 encountered
Relations: rels:8648810, finalFF:860116
Max relations in full relation-set: 28
Initial matrix: 762233 x 860116 with sparse part having weight 86306908.
Pruned matrix : 693173 x 697048 with weight 70123858.
Total sieving time: 307.41 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 24.26 hours.
Total square root time: 0.79 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,48,48,2.6,2.6,100000
total time: 333.18 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

1827865917091083679227195736806847949179150862459087072361259147703090009125078037186612403122755531495802543275504447567473492126110741317289394220774001<154>

186853769745984246704156867807<30>
9782333637560272544478678024910065237123917040258780920153923456086893930036713667499114063668907467528111774118161057376943<124>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 1827865917091083679227195736806847949179150862459087072361259147703090009125078037186612403122755531495802543275504447567473492126110741317289394220774001 (154 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=790654530
Step 1 took 48033ms
Step 2 took 16552ms
********** Factor found in step 2: 186853769745984246704156867807
Found probable prime factor of 30 digits: 186853769745984246704156867807
Probable prime cofactor 9782333637560272544478678024910065237123917040258780920153923456086893930036713667499114063668907467528111774118161057376943 has 124 digits

GMP-ECM

47351778283758613155818736369258591901856732092913695684537510158165743067246370111662666476693553481155635579603938967640227522990872619485006697<146>

1984601192472105552778170254945237218375511855542221080774688390243973<70>
23859593788097637321899937713296245689013767073791241136430285091575064944789<77>

Number: 77771_179
N = 47351778283758613155818736369258591901856732092913695684537510158165743067246370111662666476693553481155635579603938967640227522990872619485006697 (146 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=1984601192472105552778170254945237218375511855542221080774688390243973 (pp70)
r2=23859593788097637321899937713296245689013767073791241136430285091575064944789 (pp77)
Version: Msieve v. 1.44
Total time: 255.14 hours.
Factorization parameters were as follows:
n: 47351778283758613155818736369258591901856732092913695684537510158165743067246370111662666476693553481155635579603938967640227522990872619485006697
m: 100000000000000000000000000000000000
deg: 5
c5: 70000
c0: -61
skew: 0.24
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [3500000, 10900000)
Relations: 20018816
Relations in full relation-set: 2356904 relations
Pruned matrix : 1464027 x 1464252
Polynomial selection time: 0.00 hours.
Total sieving time: 246.90 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 6.93 hours.
time per square root: 0.97 hours.

GGNFS, Msieve

29987149421107919103277239628662886957675353245492249296599091718376560326703805877339985194027146015977494170980827460525338426184127596850743513190853159<155>

268433173310371919110756037126438297<36>
111711786778438585359052002351568932688057440788273618433487598683804565986777722541166941624891570654575541803729075647<120>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 29987149421107919103277239628662886957675353245492249296599091718376560326703805877339985194027146015977494170980827460525338426184127596850743513190853159 (155 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3585440498
Step 1 took 86331ms
Step 2 took 16988ms
********** Factor found in step 2: 268433173310371919110756037126438297
Found probable prime factor of 36 digits: 268433173310371919110756037126438297
Probable prime cofactor 111711786778438585359052002351568932688057440788273618433487598683804565986777722541166941624891570654575541803729075647 has 120 digits

GMP-ECM

1632917269353564083516157160874442162362313033488821728473083869495445441341139923036407878727107841361742487465761237276409809989350912818623879601262132645017<160>

196795518289527012783177637059304087<36>

8297532807384384619591502124535182691958946812580208156234462702919765706096384805864725674578023949954423362371961815181391<124>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 1632917269353564083516157160874442162362313033488821728473083869495445441341139923036407878727107841361742487465761237276409809989350912818623879601262132645017 (160 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=866390266
Step 1 took 54928ms
Step 2 took 17971ms
********** Factor found in step 2: 196795518289527012783177637059304087
Found probable prime factor of 36 digits: 196795518289527012783177637059304087
Composite cofactor 8297532807384384619591502124535182691958946812580208156234462702919765706096384805864725674578023949954423362371961815181391 has 124 digits

GMP-ECM

8297532807384384619591502124535182691958946812580208156234462702919765706096384805864725674578023949954423362371961815181391<124>

1822983903915540903242968668361589445511954993<46>
4551621541782307730013990392915456127532722433651555998138128258792296417129087<79>

N=8297532807384384619591502124535182691958946812580208156234462702919765706096384805864725674578023949954423362371961815181391
  ( 124 digits)
Divisors found:
 r1=1822983903915540903242968668361589445511954993 (pp46)
 r2=4551621541782307730013990392915456127532722433651555998138128258792296417129087 (pp79)
Version: Msieve-1.39
Total time: 42.29 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
# Murphy_E = 1.855e-10, selected by Markus Tervooren
n: 8297532807384384619591502124535182691958946812580208156234462702919765706096384805864725674578023949954423362371961815181391
Y0: -1225653561529813741731415
Y1: 22064329640861
c0: -26207728649600251358721533684
c1: -77212770881249363965820
c2: 41665440464405440487
c3: 476421430964662
c4: -4195615430
c5: 3000
skew: 102794.61
type: gnfs
# selected mechanically
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsite: 500000
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [3350000, 1910001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 737257 x 737496
Total sieving time: 40.76 hours.
Total relation processing time: 0.73 hours.
Matrix solve time: 0.73 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6700000,6700000,28,28,56,56,2.6,2.6,180000
total time: 42.29 hours.
 --------- CPU info (if available) ----------
[    0.144009] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.236014] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.332940] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.432541] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197988k/10485760k available (2226k kernel code, 189848k reserved, 1082k data, 392k init)
[    0.083990] Calibrating delay using timer specific routine.. 5337.16 BogoMIPS (lpj=10674326)
[    0.156009] Calibrating delay using timer specific routine.. 5333.34 BogoMIPS (lpj=10666681)
[    0.256016] Calibrating delay using timer specific routine.. 5333.37 BogoMIPS (lpj=10666743)
[    0.352020] Calibrating delay using timer specific routine.. 5333.36 BogoMIPS (lpj=10666726)
[    0.440025] Total of 4 processors activated (21337.23 BogoMIPS).

9165251059186568453927565803739673747368254944901221181368550141442986915819666544647075353752206899005385771120697964895157818297332263898523<142>

129094206503327431146389777618501<33>
70996610207680637642204608399521543078046698423883298589248821326163661299941720117124087158672108046378173023<110>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=53631576
Step 1 took 5468ms
Step 2 took 3344ms
********** Factor found in step 2: 129094206503327431146389777618501
Found probable prime factor of 33 digits: 129094206503327431146389777618501
Probable prime cofactor 70996610207680637642204608399521543078046698423883298589248821326163661299941720117124087158672108046378173023 has 110 digits

GMP-ECM 6.2.1

13054284587590594720336907148013093495861272612868775788123597877993215937113257983843987189624090165738879140772166652391<122>

148620272450318305620892247<27>

87836500178362012339391534087557870391705073829131196795608369383843280519245566419346506803953<95>

   Factor: 148620272450318305620892247
   Factor Type: probable
   Factor Length: 27
   Co-Factor: 87836500178362012339391534087557870391705073829131196795608369383843280519245566419346506803953
   Co-Factor Type: Composite
   Co-Factor Length: 95
   B1: 250000
   Sigma: 1953132358

87836500178362012339391534087557870391705073829131196795608369383843280519245566419346506803953<95>

224862363761607190215772027417022972537690791<45>
390623396058772295453140324659480039189781576841383<51>

Sat Jan 27 01:39:07 2007  
Sat Jan 27 01:39:07 2007  
Sat Jan 27 01:39:07 2007  Msieve v. 1.16
Sat Jan 27 01:39:07 2007  random seeds: 423f607f 2ef68dad
Sat Jan 27 01:39:07 2007  factoring 87836500178362012339391534087557870391705073829131196795608369383843280519245566419346506803953 (95 digits)
Sat Jan 27 01:39:07 2007  using multiplier of 33
Sat Jan 27 01:39:07 2007  sieve interval: 9 blocks of size 65536
Sat Jan 27 01:39:07 2007  processing polynomials in batches of 6
Sat Jan 27 01:39:07 2007  using a sieve bound of 2190817 (81176 primes)
Sat Jan 27 01:39:07 2007  using large prime bound of 328622550 (28 bits)
Sat Jan 27 01:39:07 2007  using double large prime bound of 2138233886692800 (43-51 bits)
Sat Jan 27 01:39:07 2007  using trial factoring cutoff of 55 bits
Sat Jan 27 01:39:07 2007  polynomial 'A' values have 12 factors
Sat Jan 27 08:17:49 2007  81535 relations (20590 full + 60945 combined from 1191119 partial), need 81272
Sat Jan 27 08:17:51 2007  begin with 1211709 relations
Sat Jan 27 08:17:53 2007  reduce to 208204 relations in 10 passes
Sat Jan 27 08:17:53 2007  attempting to read 208204 relations
Sat Jan 27 08:17:56 2007  recovered 208204 relations
Sat Jan 27 08:17:56 2007  recovered 193380 polynomials
Sat Jan 27 08:17:57 2007  attempting to build 81535 cycles
Sat Jan 27 08:17:57 2007  found 81535 cycles in 6 passes
Sat Jan 27 08:17:57 2007  distribution of cycle lengths:
Sat Jan 27 08:17:57 2007     length 1 : 20590
Sat Jan 27 08:17:57 2007     length 2 : 14946
Sat Jan 27 08:17:57 2007     length 3 : 14053
Sat Jan 27 08:17:57 2007     length 4 : 10885
Sat Jan 27 08:17:57 2007     length 5 : 8137
Sat Jan 27 08:17:57 2007     length 6 : 5231
Sat Jan 27 08:17:57 2007     length 7 : 3252
Sat Jan 27 08:17:57 2007     length 9+: 4441
Sat Jan 27 08:17:57 2007  largest cycle: 18 relations
Sat Jan 27 08:17:58 2007  matrix is 81176 x 81535 with weight 5530736 (avg 67.83/col)
Sat Jan 27 08:17:59 2007  filtering completed in 3 passes
Sat Jan 27 08:17:59 2007  matrix is 79614 x 79678 with weight 5312625 (avg 66.68/col)
Sat Jan 27 08:18:00 2007  saving the first 48 matrix rows for later
Sat Jan 27 08:18:00 2007  matrix is 79566 x 79678 with weight 4464667 (avg 56.03/col)
Sat Jan 27 08:18:00 2007  matrix includes 32 packed rows
Sat Jan 27 08:21:49 2007  lanczos halted after 1260 iterations
Sat Jan 27 08:21:49 2007  recovered 17 nontrivial dependencies
Sat Jan 27 08:21:50 2007  prp45 factor: 224862363761607190215772027417022972537690791
Sat Jan 27 08:21:50 2007  prp51 factor: 390623396058772295453140324659480039189781576841383
Sat Jan 27 08:21:50 2007  elapsed time 06:42:43

Msieve v. 1.16

3667825658692547329523038358192411728927607986743464513892507691676701658191859102552257007719803682869336958360860556555671524934191227106607060826793<151>

110841851546646384021870354919003694654974751<45>
322106348594135238055892625441407973411619231<45>
102731972739847532149167638621323906386386584552823892387029353<63>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 3667825658692547329523038358192411728927607986743464513892507691676701658191859102552257007719803682869336958360860556555671524934191227106607060826793 (151 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1759279129
Step 1 took 216781ms
Step 2 took 77266ms
********** Factor found in step 2: 322106348594135238055892625441407973411619231
Found probable prime factor of 45 digits: 322106348594135238055892625441407973411619231
Composite cofactor 11387002071524303342866760040102746057825977321157410628067021127907388937331147200865690356475328110866103 has 107 digits

Number: 77771_187
N = 11387002071524303342866760040102746057825977321157410628067021127907388937331147200865690356475328110866103 (107 digits)
Divisors found:
r1=110841851546646384021870354919003694654974751 (pp45)
r2=102731972739847532149167638621323906386386584552823892387029353 (pp63)
Version: Msieve v. 1.45
Total time: 14.67 hours.
Factorization parameters were as follows:
n: 11387002071524303342866760040102746057825977321157410628067021127907388937331147200865690356475328110866103
Y0: -354289585937474483363
Y1: 78035162023
c0: -120636908821402040743156152
c1: 10920211402637851042498
c2: 468281666838855701
c3: -16634956463730
c4: -270870716
c5: 2040
skew: 44339.60  
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [1250000, 2300000)
Relations: 5191198
Relations in full relation-set: 424630 relations
Pruned matrix : 263920 x 264146
Polynomial selection time: 0.67 hours.
Total sieving time: 13.59 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.20 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: gnfs,106,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 14.67 hours.
 --------- CPU info (if available) ----------

GMP-ECM, GGNFS, Msieve

564245917590485391538971661373559676686113466643117059313401430391549928682135547887266500571534588060153774985727491469522481819209063179517296237298862502251025936795654079<174>

6586408395714765506229052421915313517957<40>

85668225182877184644786666541917164742621853107779269580528230063969136871950475692301384534838463105695144272049997293525583827839347<134>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=272832663
Step 1 took 28102ms
Step 2 took 18633ms
********** Factor found in step 2: 6586408395714765506229052421915313517957
Found probable prime factor of 40 digits: 6586408395714765506229052421915313517957
Composite cofactor 85668225182877184644786666541917164742621853107779269580528230063969136871950475692301384534838463105695144272049997293525583827839347 has 134 digits

GMP-ECM 6.2.1

85668225182877184644786666541917164742621853107779269580528230063969136871950475692301384534838463105695144272049997293525583827839347<134>

382640466874904910800421145827775571<36>
223886997322957868294489493212024580830634045157977060128729169814295853294679370899387519951925857<99>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 85668225182877184644786666541917164742621853107779269580528230063969136871950475692301384534838463105695144272049997293525583827839347 (134 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3346361410
Step 1 took 39203ms
Step 2 took 14056ms
********** Factor found in step 2: 382640466874904910800421145827775571
Found probable prime factor of 36 digits: 382640466874904910800421145827775571
Probable prime cofactor 223886997322957868294489493212024580830634045157977060128729169814295853294679370899387519951925857 has 99 digits

GMP-ECM

14702793530770846460827557235874816215080865364419239655534551564797311489182944759504305818105440033606385213190506196177273681999579920184835118672547784078975005250997689561016593152699<188>

2688905664266052337484729565917<31>

5467946951863048473626887020863645023766677773365149383086724143142152008359250701849934634922233312157204345407319371930536542980234660828386982636456713847<157>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]

14702793530770846460827557235874816215080865364419239655534551564797311489182944759504305818105440033606385213190506196177273681999579920184835118672547784078975005250997689561016593152699
=2688905664266052337484729565917* 5467946951863048473626887020863645023766677773365149383086724143142152008359250701849934634922233312157204345407319371930536542980234660828386982636456713847

5467946951863048473626887020863645023766677773365149383086724143142152008359250701849934634922233312157204345407319371930536542980234660828386982636456713847<157>

9858384273351370614968645054843360328019<40>
554649403010561766504095582751298749053788397412071588857060264375985163210332945827673607668172240781821057365118413<117>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 5467946951863048473626887020863645023766677773365149383086724143142152008359250701849934634922233312157204345407319371930536542980234660828386982636456713847 (157 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2043331176
Step 1 took 92680ms
Step 2 took 18362ms
********** Factor found in step 2: 9858384273351370614968645054843360328019
Found probable prime factor of 40 digits: 9858384273351370614968645054843360328019
Probable prime cofactor 554649403010561766504095582751298749053788397412071588857060264375985163210332945827673607668172240781821057365118413 has 117 digits

GMP-ECM

636643508966946669102911873995273922169261433135057602130682760828520652017961093700206301135040254580951359703459296680189681644222805377386457859011071040598309118302744757947797<180>

9804169746015577368623371675982625336556606524343779214054489864927915811284741080509<85>
64935994118796149328277683940333985544847653207475992517035238843806739677516609403444309199033<95>

Number: 77771_191
N = 636643508966946669102911873995273922169261433135057602130682760828520652017961093700206301135040254580951359703459296680189681644222805377386457859011071040598309118302744757947797 (180 digits)
SNFS difficulty: 192 digits.
Divisors found:
r1=9804169746015577368623371675982625336556606524343779214054489864927915811284741080509 (pp85)
r2=64935994118796149328277683940333985544847653207475992517035238843806739677516609403444309199033 (pp95)
Version: Msieve v. 1.44
Total time: 615.44 hours.
Factorization parameters were as follows:
n: 636643508966946669102911873995273922169261433135057602130682760828520652017961093700206301135040254580951359703459296680189681644222805377386457859011071040598309118302744757947797
m: 100000000000000000000000000000000000000
deg: 5
c5: 70
c0: -61
skew: 0.97
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [5500000, 11400000)
Relations: 22171746
Relations in full relation-set: 3803284 relations
Pruned matrix : 2294437 x 2294662
Polynomial selection time: 0.00 hours.
Total sieving time: 592.11 hours.
Total relation processing time: 0.83 hours.
Matrix solve time: 19.00 hours.
time per square root: 3.50 hours.

GGNFS, Msieve

331901850775852454095260778159312207182388523084245895117515855095034943432772967702830812108765030869898993232108805948944352117195753793715422029<147>

2736444955335091738175869222951<31>
121289430700501471603498088503911465819708333729664041167291526413944869019180851149006200154305108790796966792303979<117>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=443501588
Step 1 took 6592ms
Step 2 took 5563ms
********** Factor found in step 2: 2736444955335091738175869222951
Found probable prime factor of 31 digits: 2736444955335091738175869222951
Probable prime cofactor 121289430700501471603498088503911465819708333729664041167291526413944869019180851149006200154305108790796966792303979 has 117 digits

GMP-ECM 6.2.1

487085817927162574097929203020967480913257966012607032171285902130888233977806140928498766629466452661783850110422586412127688965280563400139665740617180566477<159>

2246508082436551957070309765634386946108440906621<49>
216819081015222352514353357874738868734772022441717435874702982842272944428806355881466444324045048201447291537<111>

GMP-ECM 6.3-rc3 [configured with GMP 5.0.1] [ECM]
Input number is 487085817927162574097929203020967480913257966012607032171285902130888233977806140928498766629466452661783850110422586412127688965280563400139665740617180566477 (159 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1246590331
Step 1 took 313921ms
Step 2 took 70497ms
********** Factor found in step 2: 2246508082436551957070309765634386946108440906621
Found probable prime factor of 49 digits: 2246508082436551957070309765634386946108440906621
Probable prime cofactor 216819081015222352514353357874738868734772022441717435874702982842272944428806355881466444324045048201447291537 has 111 digits

GMP-ECM

2190515186051883766474113016140858334592967891881449669122039818828454604618827131344033510617232901327051076906333834333376695372581784195580852156409995603681139344679<169>

531491056722536956751161878516801175793<39>

4121452578261226588134752211933914983172630935008130060283432217832558587126174695042602785911630481640122255956671055306646366103<130>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 2190515186051883766474113016140858334592967891881449669122039818828454604618827131344033510617232901327051076906333834333376695372581784195580852156409995603681139344679 (169 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4288920521
Step 1 took 90528ms
Step 2 took 33103ms
********** Factor found in step 2: 531491056722536956751161878516801175793
Found probable prime factor of 39 digits: 531491056722536956751161878516801175793
Composite cofactor 4121452578261226588134752211933914983172630935008130060283432217832558587126174695042602785911630481640122255956671055306646366103 has 130 digits

GMP-ECM

4121452578261226588134752211933914983172630935008130060283432217832558587126174695042602785911630481640122255956671055306646366103<130>

3970309055825903081121804660577323590306148898096591928599562369<64>
1038068452684694757256653541505174079526421259836469545228236760087<67>

Number: 77771_194
N = 4121452578261226588134752211933914983172630935008130060283432217832558587126174695042602785911630481640122255956671055306646366103 (130 digits)
Divisors found:
r1=3970309055825903081121804660577323590306148898096591928599562369 (pp64)
r2=1038068452684694757256653541505174079526421259836469545228236760087 (pp67)
Version: Msieve v. 1.44
Total time: 198.67 hours.
Factorization parameters were as follows:
n: 4121452578261226588134752211933914983172630935008130060283432217832558587126174695042602785911630481640122255956671055306646366103
Y0: -11437166933878805705924258
Y1: 184940293575229
c0: -2507340073231358376937210026675
c1: 1609648065258356055923272557
c2: 267549376854412277923
c3: -27295892036117117
c4: -1078195748
c5: 21060
skew: 483089.10 
type: gnfs
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [3600000, 9300000)
Relations: 21155602
Relations in full relation-set: 2184962 relations
Pruned matrix : 1300552 x 1300777
Polynomial selection time: 0.00 hours.
Total sieving time: 192.02 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 5.17 hours.
time per square root: 1.10 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 198.67 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1724823163148605327296658704954438880912038890470102578178882140289041698439554670854641024347629189390043509900358257512335735503007613488206620321230111476658091845732929<172>

19908280249192111705082453786062567605531928939498777975091999<62>
86638481152514393708578093914510046471019487603024662120178172459121802263655491250035569430729730398893799071<110>

Number: 77771_195
N = 1724823163148605327296658704954438880912038890470102578178882140289041698439554670854641024347629189390043509900358257512335735503007613488206620321230111476658091845732929 (172 digits)
SNFS difficulty: 196 digits.
Divisors found:
r1=19908280249192111705082453786062567605531928939498777975091999 (pp62)
r2=86638481152514393708578093914510046471019487603024662120178172459121802263655491250035569430729730398893799071 (pp110)
Version: Msieve v. 1.45
Total time: 657.22 hours.
Factorization parameters were as follows:
n: 1724823163148605327296658704954438880912038890470102578178882140289041698439554670854641024347629189390043509900358257512335735503007613488206620321230111476658091845732929
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -61
skew: 1.54
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [6450000, 12250000)
Relations: 22858594
Relations in full relation-set: 3737552 relations
Pruned matrix : 2291101 x 2291326
Polynomial selection time: 0.00 hours.
Total sieving time: 633.04 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 20.84 hours.
time per square root: 2.87 hours.

GGNFS, Msieve

76659676630735805957061691098144485415433079253604690533774565678373584751661043304846660100457182824135892024590357281706563395892616815699266550100045877029<158>

484157287113548064449100693247493210791<39>
158336306549811414521395276193314134816000853211628844174230012646700094764773236328445359419394774791738633126133192019<120>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1582530103
Step 1 took 24888ms
Step 2 took 16469ms
********** Factor found in step 2: 484157287113548064449100693247493210791
Found probable prime factor of 39 digits: 484157287113548064449100693247493210791
Probable prime cofactor 158336306549811414521395276193314134816000853211628844174230012646700094764773236328445359419394774791738633126133192019 has 120 digits

GMP-ECM 6.2.1

82412003595540646197249358229040357672823540595278658782421513337954984495754869545270948112391454791304430944828082638093710058891201320495875388446737844546796967844186089698216417<182>

1192301442028862682062085670074201088037505944844425309237191<61>
69120107290405889248626039336790908611819195964977590843303240765223502630225962275075389234515807428677143705513850308887<122>

Number: n
N=82412003595540646197249358229040357672823540595278658782421513337954984495754869545270948112391454791304430944828082638093710058891201320495875388446737844546796967844186089698216417
  ( 182 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat Apr  3 18:35:11 2010  prp61 factor: 1192301442028862682062085670074201088037505944844425309237191
Sat Apr  3 18:35:11 2010  prp122 factor: 69120107290405889248626039336790908611819195964977590843303240765223502630225962275075389234515807428677143705513850308887
Sat Apr  3 18:35:11 2010  elapsed time 05:34:44 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.074).
Factorization parameters were as follows:
name: KA_7_196_1
n: 82412003595540646197249358229040357672823540595278658782421513337954984495754869545270948112391454791304430944828082638093710058891201320495875388446737844546796967844186089698216417
m: 1000000000000000000000000000000000000000
deg: 5
c5: 700
c0: -61
skew: 0.61
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 16550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4301808 hash collisions in 29575464 relations
Msieve: matrix is 2058665 x 2058890 (584.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

285321767389508735329154872093616199691336844403413182896276528395142827577131174381103348822433774083626337309145249185346327131003838382411204837961455467643089072889<168>

434084681211224686141852439499199000759<39>
657295177045586107322565512403951199388892719101664080289634387135256356887900786390289588541880076660837466117973684510067141071<129>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 285321767389508735329154872093616199691336844403413182896276528395142827577131174381103348822433774083626337309145249185346327131003838382411204837961455467643089072889 (168 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2338097098
Step 1 took 60922ms
Step 2 took 25844ms
********** Factor found in step 2: 434084681211224686141852439499199000759
Found probable prime factor of 39 digits: 434084681211224686141852439499199000759
Probable prime cofactor 657295177045586107322565512403951199388892719101664080289634387135256356887900786390289588541880076660837466117973684510067141071 has 129 digits

GMP-ECM

7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<199>

162977242689074237420617781730238377969785419608250633<54>
1078499033126045544619923456125343966895163031786125650645190344488551801<73>
44249544503388844859222475426113422020799712625769378619900612613079145387<74>

Number: 77771_199
N=7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
  ( 199 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=162977242689074237420617781730238377969785419608250633
 r2=1078499033126045544619923456125343966895163031786125650645190344488551801
 r3=44249544503388844859222475426113422020799712625769378619900612613079145387
Version: 
Total time: 931.32 hours.
Scaled time: 1842.15 units (timescale=1.978).
Factorization parameters were as follows:
n: 7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
m: 5000000000000000000000000000000000000000
deg: 5
c5: 112
c0: -305
skew: 1.22
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7700000, 17600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3166635 x 3166882
Total sieving time: 931.32 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time: 931.32 hours.
 --------- CPU info (if available) ----------

6279951827849680185835292105308975519846600675139070169106570782730859744895486429642782728264298962897520408727400435855355510566556601763827971330264621622719227<163>

2877512419306445889451074885689108703147919<43>
2182423883113355681338364757955021001093971236567419987983727786411782415531240896721282387439371902964351866073389234133<121>

GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=563584255
Step 1 took 238104ms
Step 2 took 70902ms
********** Factor found in step 2: 2877512419306445889451074885689108703147919
Found probable prime factor of 43 digits: 28775124193064458894510748856891087031
47919
Probable prime cofactor 21824238831133556813383647579550210010939712365674199879
83727786411782415531240896721282387439371902964351866073389234133 has 121 digits

GMP-ECM

49539985845718329794762915782024062278839348903043170559094125973106864826610049539985845718329794762915782024062278839348903043170559094125973106864826610049539985845718329794762915782024062278839348903<203>

36363280116375219421286616437968108921711908966933819447158004201169779779516375614879<86>
1362362957554242677722002499074053220865828145336669332814557517734382344105166027767403348430122340569106253097675257<118>

Number: 77771_205
N = 49539985845718329794762915782024062278839348903043170559094125973106864826610049539985845718329794762915782024062278839348903043170559094125973106864826610049539985845718329794762915782024062278839348903 (203 digits)
SNFS difficulty: 206 digits.
Divisors found:
r1=36363280116375219421286616437968108921711908966933819447158004201169779779516375614879 (pp86)
r2=1362362957554242677722002499074053220865828145336669332814557517734382344105166027767403348430122340569106253097675257 (pp118)
Version: Msieve v. 1.47
Total time: 664.51 hours.
Factorization parameters were as follows:
n: 49539985845718329794762915782024062278839348903043170559094125973106864826610049539985845718329794762915782024062278839348903043170559094125973106864826610049539985845718329794762915782024062278839348903
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -61
skew: 1.54
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [9450000, 20150000)
Relations: 38859720
Relations in full relation-set: 6295552 relations
Pruned matrix : 3761963 x 3762187
Polynomial selection time: 0.00 hours.
Total sieving time: 650.68 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 12.79 hours.
time per square root: 0.76 hours.

GGNFS, Msieve

5494611556737229156347393125745676715525145973377252773508866772663915908258986504416660391697362393150044462541575475469441894419096854694076505457072456399194930374181840914596320515762633<190>

229332057059901420380293907943095877631796298340223117<54>

23959195357071424704004079599913858141194406359773462128384286594003217612982517165441065647733587951017344559673221121746703579789544749<137>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3882850038
Step 1 took 337710ms
Step 2 took 92562ms
********** Factor found in step 2: 229332057059901420380293907943095877631796298340223117
Found probable prime factor of 54 digits: 229332057059901420380293907943095877631796298340223117
Composite cofactor 23959195357071424704004079599913858141194406359773462128384286594003217612982517165441065647733587951017344559673221121746703579789544749 has 137 digits

23959195357071424704004079599913858141194406359773462128384286594003217612982517165441065647733587951017344559673221121746703579789544749<137>

265897592031568293516431935146370536728534446535841173<54>
90106853446897349512478125165003130501658586573069947374731762827398547916558451513<83>

Number: 77771_206
N = 23959195357071424704004079599913858141194406359773462128384286594003217612982517165441065647733587951017344559673221121746703579789544749 (137 digits)
Divisors found:
r1=265897592031568293516431935146370536728534446535841173 (pp54)
r2=90106853446897349512478125165003130501658586573069947374731762827398547916558451513 (pp83)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 242.78 hours.
Factorization parameters were as follows:
# Murphy_E = 3.688e-11, selected by Dmitry Domanov
n: 23959195357071424704004079599913858141194406359773462128384286594003217612982517165441065647733587951017344559673221121746703579789544749
Y0: -427399282955746121357943457
Y1: 588572857464961
c0: -804485236802932413318513337573678200
c1: -662454843551826827808180068466
c2: 132448714193845535529511
c3: 116456786060922716
c4: -16851899516
c5: 1680
skew: 3598988.03
type: gnfs
# selected mechanically
rlim: 14600000
alim: 14600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14600000/14600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [7300000, 16800000)
Relations: 22435435
Relations in full relation-set: 3785806 relations
Pruned matrix : 2254619 x 2254865
Polynomial selection time: 0.00 hours.
Total sieving time: 237.51 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 4.93 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14600000,14600000,28,28,55,55,2.6,2.6,100000
total time: 242.78 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

13319556927255646496060020854915855523741724894143392538914769683494071887963805314452137582907704455592884256391979040242259170602660578171069876327796707197954545413332846027901<179>

2384315450040626790932120535685482810130532071344165039709<58>
5586323289155674475754563991891651410356512908353086537417454176674509881737396671172623373043577953222788925502625328289<121>

Number: 77771_210
N = 13319556927255646496060020854915855523741724894143392538914769683494071887963805314452137582907704455592884256391979040242259170602660578171069876327796707197954545413332846027901(179 digits)
SNFS difficulty: 210 digits.
Divisors found:
2384315450040626790932120535685482810130532071344165039709(pp58)
5586323289155674475754563991891651410356512908353086537417454176674509881737396671172623373043577953222788925502625328289(pp121)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 500.00 hours.
Factorization parameters were as follows:
n: 13319556927255646496060020854915855523741724894143392538914769683494071887963805314452137582907704455592884256391979040242259170602660578171069876327796707197954545413332846027901
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -61
skew: 1.54
# Murphy_E = 6.449e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [11500000, 27500000)
Total raw relations: 44108715
Relations: 12599709 relations
Pruned matrix : 3957630 x 3957856
Polynomial selection time: 0.00 hours.
Total sieving time: 480.0 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 11.70 hours.
time per square root: 0.30 hours.
total time: 500.00 hours.

GGNFS, Msieve

60670304447853379702688802156487500687521123258177089054190850258722664382357830942034504894657367092782309573107843409502145493315095574331092281421787975060635321168479504094839577553421510507<194>

126668719865299006125491747250075217008162357093078870773778768658847<69>
478968323926940202522414839020922867609717708737366979484570439274169308924746775606144448461760510307936750691796053331033781<126>

Number: 77771_210
N = 60670304447853379702688802156487500687521123258177089054190850258722664382357830942034504894657367092782309573107843409502145493315095574331092281421787975060635321168479504094839577553421510507(194 digits)
SNFS difficulty: 211 digits.
Divisors found:
126668719865299006125491747250075217008162357093078870773778768658847(pp69)
478968323926940202522414839020922867609717708737366979484570439274169308924746775606144448461760510307936750691796053331033781(pp126)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 800.00 hours.
Factorization parameters were as follows:
n: 60670304447853379702688802156487500687521123258177089054190850258722664382357830942034504894657367092782309573107843409502145493315095574331092281421787975060635321168479504094839577553421510507
m: 100000000000000000000000000000000000
deg: 6
c6: 70
c0: -61
skew: 0.98
# Murphy_E = 3.517e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [12000000, 41500000)
Total raw relations: 46377108
Relations: 16213066 relations
Pruned matrix : 5137507 x 5137732
Polynomial selection time: 0.00 hours.
Total sieving time: 7800.0 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 18.70 hours.
time per square root: 0.30 hours.
total time: 800.00 hours.

GGNFS, Msieve

706588376532556448866062212863540488887829756122566262969556571250539927237405712543736721959739579376939748463902161880434493956950450736945303379764988858342834754641868018877796644369<186>

13541952658021827479661802004906149435893821186603907601<56>
52177731998937072379333705557657311344012668034873502346243502307159802614130660272784438770514426537061411283108481673278189779969<131>

Number: 77771_212
N = 706588376532556448866062212863540488887829756122566262969556571250539927237405712543736721959739579376939748463902161880434493956950450736945303379764988858342834754641868018877796644369 (186 digits)
SNFS difficulty: 212 digits.
Divisors found:
13541952658021827479661802004906149435893821186603907601(pp56)
52177731998937072379333705557657311344012668034873502346243502307159802614130660272784438770514426537061411283108481673278189779969(pp131)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 650.00 hours.
Factorization parameters were as follows:
n: 706588376532556448866062212863540488887829756122566262969556571250539927237405712543736721959739579376939748463902161880434493956950450736945303379764988858342834754641868018877796644369
m: 100000000000000000000000000000000000
deg: 6
c6: 700
c0: -61
skew: 0.67
# Murphy_E = 3.862e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [12500000, 36400000)
Total raw relations: 44118464
Relations: 14958380 relations
Pruned matrix : 4733132 x 4733357
Polynomial selection time: 0.00 hours.
Total sieving time: 625.0 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 15.20 hours.
time per square root: 0.30 hours.
total time: 650.00 hours.

GGNFS, Msieve

27059695789325016516798656745272685165600356426883089337138112256835987321749942654966311897075824023407412293801396623201507667666829464736948326442693185618975786574733563807<176>

5924555632934454420658225885250621112477096664291<49>
4567379811390554642903827321733438550988935883607228155825396693503824979626797190115854580180369506193736238397462040049267477<127>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 27059695789325016516798656745272685165600356426883089337138112256835987321749942654966311897075824023407412293801396623201507667666829464736948326442693185618975786574733563807 (176 digits)
[Tue Nov 15 18:59:20 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2137486157
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 1009373ms
Using 22 small primes for NTT
Estimated memory usage: 664M
Initializing tables of differences for F took 639ms
Computing roots of F took 29562ms
Building F from its roots took 14976ms
Computing 1/F took 5616ms
Initializing table of differences for G took 547ms
Computing roots of G took 24648ms
Building G from its roots took 14913ms
Computing roots of G took 24992ms
Building G from its roots took 14398ms
Computing G * H took 3167ms
Reducing  G * H mod F took 3120ms
Computing roots of G took 24664ms
Building G from its roots took 14914ms
Computing G * H took 3167ms
Reducing  G * H mod F took 3120ms
Computing roots of G took 24695ms
Building G from its roots took 14695ms
Computing G * H took 3151ms
Reducing  G * H mod F took 3135ms
Computing polyeval(F,G) took 33275ms
Computing product of all F(g_i) took 140ms
Step 2 took 262144ms
********** Factor found in step 2: 5924555632934454420658225885250621112477096664291
Found probable prime factor of 49 digits: 5924555632934454420658225885250621112477096664291
Probable prime cofactor 4567379811390554642903827321733438550988935883607228155825396693503824979626797190115854580180369506193736238397462040049267477 has 127 digits

GMP-ECM

1536560878093004252361026864184116343473738861462590527007204278686388637633117622460148977028576768930770677341334954025943027841483280791322727863253766262856102782380327812963<178>

11860640460766562881358746098094467771979826598791182797091<59>
129551256795595932571431139235597729948121923145977527509399129121668441115556263486292602478449703320299611592396518593<120>

Number: 77771_216
N = 1536560878093004252361026864184116343473738861462590527007204278686388637633117622460148977028576768930770677341334954025943027841483280791322727863253766262856102782380327812963 (178 digits)
SNFS difficulty: 216 digits.
Divisors found:
11860640460766562881358746098094467771979826598791182797091(pp59)
129551256795595932571431139235597729948121923145977527509399129121668441115556263486292602478449703320299611592396518593(pp120)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 885.00 hours.
Factorization parameters were as follows:
n: 1536560878093004252361026864184116343473738861462590527007204278686388637633117622460148977028576768930770677341334954025943027841483280791322727863253766262856102782380327812963
m: 1000000000000000000000000000000000000
deg: 6
c6: 7
c0: -61
skew: 1.43
# Murphy_E = 3.402e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [14500000, 42300000)
Total raw relations: 47089845
Relations: 7705324 relations
Pruned matrix : 5009619 x 5009847
Polynomial selection time: 0.00 hours.
Total sieving time: 860.0 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 22.50 hours.
time per square root: 0.30 hours.
total time: 885.00 hours.

GGNFS, Msieve

16237531895151936905590350266759452563210392020412897239619577824170726049640454650893064254233356529807469264671769890976571561122709348179076780329389932730225005799118533982834609139410809556947344003711435861749<215>

58375616133733341873526540546780144525213<41>

278156068759140738969298867525812490267926595764188798139783677259393974741282911643139597589121356763963856456569929728090637868986414079568132931580298174318514354247772473<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=868874151
Step 1 took 23958ms
Step 2 took 8386ms
********** Factor found in step 2: 58375616133733341873526540546780144525213
Found probable prime factor of 41 digits: 58375616133733341873526540546780144525213
Composite cofactor 278156068759140738969298867525812490267926595764188798139783677259393974741282911643139597589121356763963856456569929728090637868986414079568132931580298174318514354247772473 has 174 digits

GMP-ECM 6.2.3

278156068759140738969298867525812490267926595764188798139783677259393974741282911643139597589121356763963856456569929728090637868986414079568132931580298174318514354247772473<174>

1924882914767003137927055647001538925994046832844619269001519433<64>
144505448422461609829487280462188699560472820936559328071451305172091412149213184912057155348228758049747744881<111>

Number: 77771_217
N = 278156068759140738969298867525812490267926595764188798139783677259393974741282911643139597589121356763963856456569929728090637868986414079568132931580298174318514354247772473 (174 digits)
SNFS difficulty: 218 digits.
Divisors found:
r1=1924882914767003137927055647001538925994046832844619269001519433 (pp64)
r2=144505448422461609829487280462188699560472820936559328071451305172091412149213184912057155348228758049747744881 (pp111)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1314.20 hours.
Factorization parameters were as follows:
n: 278156068759140738969298867525812490267926595764188798139783677259393974741282911643139597589121356763963856456569929728090637868986414079568132931580298174318514354247772473
m: 1000000000000000000000000000000000000
deg: 6
c6: 70
c0: -61
skew: 0.98
# Murphy_E = 2.213e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 51051385
Relations: 8895556 relations
Pruned matrix : 5969071 x 5969298
Polynomial selection time: 0.00 hours.
Total sieving time: 1279.42 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 34.23 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,218,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 1314.20 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

121408058050534508514772039287161952920764817346172825168459317347811833952141533212761256482518219577191581516691552716965782300887012475319692999259289437833688963551375788309024925230413849370999593647229704861<213>

14492508696406287869055890265094639274950747764150560922604599562899993194808511987<83>
8377297581380103256898956817663482173499976349755110416620621034593320368535489922391427264343211460964170603051396314803637094703<130>

Number: 77771_219
N = 121408058050534508514772039287161952920764817346172825168459317347811833952141533212761256482518219577191581516691552716965782300887012475319692999259289437833688963551375788309024925230413849370999593647229704861 (213 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=14492508696406287869055890265094639274950747764150560922604599562899993194808511987 (pp83)
r2=8377297581380103256898956817663482173499976349755110416620621034593320368535489922391427264343211460964170603051396314803637094703 (pp130)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1747.52 hours.
Factorization parameters were as follows:
n: 121408058050534508514772039287161952920764817346172825168459317347811833952141533212761256482518219577191581516691552716965782300887012475319692999259289437833688963551375788309024925230413849370999593647229704861
m: 1000000000000000000000000000000000000
deg: 6
c6: 7000
c0: -61
skew: 0.45
# Murphy_E = 1.748e-12
type: snfs
lss: 1
rlim: 75000000
alim: 75000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 75000000/75000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 51364669
Relations: 9829344 relations
Pruned matrix : 6774871 x 6775097
Polynomial selection time: 0.00 hours.
Total sieving time: 1700.82 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 45.72 hours.
time per square root: 0.62 hours.
Prototype def-par.txt line would be: snfs,220,6,0,0,0,0,0,0,0,0,75000000,75000000,29,29,58,58,2.6,2.6,100000
total time: 1747.52 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

658206994651237044954177507045079050689573212100317037408972719523783317564292083710801306107792224175028082743657391541456280880728748202392523074809799415777814867683<168>

374370160736945778019198437831878374420171553398761937<54>
3942096299060742408903505157667245041420744694898504391<55>
445999157237081223050728029263147571597688081608655252284149<60>

Number: 77771_220
N = 658206994651237044954177507045079050689573212100317037408972719523783317564292083710801306107792224175028082743657391541456280880728748202392523074809799415777814867683 (168 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=374370160736945778019198437831878374420171553398761937 (pp54)
r2=3942096299060742408903505157667245041420744694898504391 (pp55)
r3=445999157237081223050728029263147571597688081608655252284149 (pp60)
Version: Msieve v. 1.52 (SVN 958)
Total time: 1313.68 hours.
Factorization parameters were as follows:
n: 658206994651237044954177507045079050689573212100317037408972719523783317564292083710801306107792224175028082743657391541456280880728748202392523074809799415777814867683
m: 5000000000000000000000000000000000000
deg: 6
c6: 112
c0: -1525
skew: 1.55
# Murphy_E = 2.012e-12
type: snfs
lss: 1
rlim: 35000000
alim: 35000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 35000000/35000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 50024326
Relations: 9303230 relations
Pruned matrix : 6183594 x 6183819
Polynomial selection time: 0.00 hours.
Total sieving time: 1289.68 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 22.69 hours.
time per square root: 1.03 hours.
Prototype def-par.txt line would be: snfs,223,6,0,0,0,0,0,0,0,0,35000000,35000000,29,29,58,58,2.6,2.6,100000
total time: 1313.68 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

2522532689607533333142653523044513070193522867182239012767671274273432772748972217572202809784775623535909055137985207090969157336151253459667557427037<151>

1475899409451728182751118319122262024481347742692157222910166712561587<70>
1709149467404836090819130602853280538926834951547576384007135695788063285166130351<82>

Number: 77771_221
N = 2522532689607533333142653523044513070193522867182239012767671274273432772748972217572202809784775623535909055137985207090969157336151253459667557427037 (151 digits)
Divisors found:
r1=1475899409451728182751118319122262024481347742692157222910166712561587 (pp70)
r2=1709149467404836090819130602853280538926834951547576384007135695788063285166130351 (pp82)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 1497.53 hours.
Factorization parameters were as follows:
# Murphy_E = 5.033e-12, selected by Erik Branger
n: 2522532689607533333142653523044513070193522867182239012767671274273432772748972217572202809784775623535909055137985207090969157336151253459667557427037
Y0: -193896740334588408105373329769
Y1: 54871118481582379
c0: 1826948977289264578043605545705594240
c1: 20340590734259694400348900087512
c2: -27744056257718234636210846
c3: -1810654499171392157
c4: 573107293320
c5: 9204
skew: 6372316.07
type: gnfs
# selected mechanically
rlim: 35000000
alim: 35000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 35000000/35000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [17500000, 37100000)
Relations: 46056131
Relations in full relation-set: 7023860 relations
Pruned matrix : 4479288 x 4479515
Polynomial selection time: 0.00 hours.
Total sieving time: 1476.18 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 20.60 hours.
time per square root: 0.41 hours.
Prototype def-par.txt line would be: gnfs,150,5,65,2000,1e-05,0.28,250,20,50000,3600,35000000,35000000,29,29,58,58,2.6,2.6,100000
total time: 1497.53 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

21583077837607787587455406889535823679467212196734095119311566906386788613452799783195124781732834266381141414555097526897023014606748758581109483204008833792881137303398251996871564675962208888766891232070301673<212>

3146389889774676523153309815345519000646846779829424536537891<61>
6859632338557197625583874112545591641319600020643686872042380508926047191035543551368681903079527654609111849632988142632899979351413252950765045168003<151>

Number: 71111_223
N = 21583077837607787587455406889535823679467212196734095119311566906386788613452799783195124781732834266381141414555097526897023014606748758581109483204008833792881137303398251996871564675962208888766891232070301673 (212 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=3146389889774676523153309815345519000646846779829424536537891 (pp61)
r2=6859632338557197625583874112545591641319600020643686872042380508926047191035543551368681903079527654609111849632988142632899979351413252950765045168003 (pp151)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 66.58 hours.
Factorization parameters were as follows:
n: 21583077837607787587455406889535823679467212196734095119311566906386788613452799783195124781732834266381141414555097526897023014606748758581109483204008833792881137303398251996871564675962208888766891232070301673
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7000
c0: -61
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 40063594
Relations: 11204418 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 24.22 hours.
Total relation processing time: 0.33 hours.
Pruned matrix : 9515555 x 9515780
Matrix solve time: 41.80 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,536870912,29,29,58,58,2.8,2.8,100000
total time: 66.58 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

105824007752858040354606167997263821677446879722340714407180030343289395126598805396070848152291939878020033265363094475859834274448857670535389579290740421669778911242679644561<177>

157407978398251665117481860294683782828431232116903260227<57>
672291257595068831730016139137870887704628526055906005853599711498798876534500548081377408051925813375537898318820332443<120>

Number: 71111_224
N = 105824007752858040354606167997263821677446879722340714407180030343289395126598805396070848152291939878020033265363094475859834274448857670535389579290740421669778911242679644561 (177 digits)
SNFS difficulty: 225 digits.
Divisors found:
r1=157407978398251665117481860294683782828431232116903260227 (pp57)
r2=672291257595068831730016139137870887704628526055906005853599711498798876534500548081377408051925813375537898318820332443 (pp120)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 78.28 hours.
Factorization parameters were as follows:
n: 105824007752858040354606167997263821677446879722340714407180030343289395126598805396070848152291939878020033265363094475859834274448857670535389579290740421669778911242679644561
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 70000
c0: -61
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 30
mfbr: 58
mfba: 60
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/30
Total raw relations: 45819189
Relations: 13019198 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 24.62 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 10653011 x 10653235
Matrix solve time: 53.02 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: snfs,225,4,0,0,0,0,0,0,0,0,536870912,536870912,29,30,58,60,2.8,2.8,100000
total time: 78.28 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

239298655024706793351585435828723321031604874108706707655901844712579489331279085915397176258079894865349363330453547109579394967241907142590379425805160728681<159>

3212401006371706634476099174842732860764267962348258710591<58>
74492149189987387048304188871533502919901108315779647109419696521409248624862781696971687386174363991<101>

Number: 77771_225
N = 239298655024706793351585435828723321031604874108706707655901844712579489331279085915397176258079894865349363330453547109579394967241907142590379425805160728681 (159 digits)
SNFS difficulty: 226 digits.
Divisors found:
r1=3212401006371706634476099174842732860764267962348258710591 (pp58)
r2=74492149189987387048304188871533502919901108315779647109419696521409248624862781696971687386174363991 (pp101)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 179.28 hours.
Factorization parameters were as follows:
n: 239298655024706793351585435828723321031604874108706707655901844712579489331279085915397176258079894865349363330453547109579394967241907142590379425805160728681
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 700000
c0: -61
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 31
mfbr: 58
mfba: 62
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/31
Total raw relations: 90095621
Relations: 15924330 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 88.34 hours.
Total relation processing time: 0.99 hours.
Pruned matrix : 13043978 x 13044203
Matrix solve time: 88.01 hours.
time per square root: 1.93 hours.
Prototype def-par.txt line would be: snfs,226,4,0,0,0,0,0,0,0,0,536870912,536870912,29,31,58,62,2.8,2.8,100000
total time: 179.28 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1790118784953746505640978123506726855409434935762307298204175794230743557313475023837330234429019415823124433325417339327522383578240719868413893345252979608260594814869828421387757027462519952805620243318017066601007<217>

397539239894016276287084115183477195825570705157980773874671917525198522505522929623811<87>
4502998962897325817708548897898305016338584697287603194930066184327937421550726421770518405914873826542707949282768010124841320037<130>

Number: 77771_227
N = 1790118784953746505640978123506726855409434935762307298204175794230743557313475023837330234429019415823124433325417339327522383578240719868413893345252979608260594814869828421387757027462519952805620243318017066601007 (217 digits)
SNFS difficulty: 229 digits.
Divisors found:
r1=397539239894016276287084115183477195825570705157980773874671917525198522505522929623811 (pp87)
r2=4502998962897325817708548897898305016338584697287603194930066184327937421550726421770518405914873826542707949282768010124841320037 (pp130)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1936.28 hours.
Factorization parameters were as follows:
n: 1790118784953746505640978123506726855409434935762307298204175794230743557313475023837330234429019415823124433325417339327522383578240719868413893345252979608260594814869828421387757027462519952805620243318017066601007
m: 100000000000000000000000000000000000000
deg: 6
c6: 7
c0: -610
skew: 2.11
# Murphy_E = 1.156e-12
type: snfs
lss: 1
rlim: 46000000
alim: 46000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 46000000/46000000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 85013884
Relations: 10389164 relations
Pruned matrix : 6829279 x 6829504
Polynomial selection time: 0.00 hours.
Total sieving time: 1896.17 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 39.03 hours.
time per square root: 0.50 hours.
Prototype def-par.txt line would be: snfs,229,6,0,0,0,0,0,0,0,0,46000000,46000000,30,30,59,59,2.7,2.7,100000
total time: 1936.28 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

2243341597115754016583758539070994084840915559290428131201708182596770987769900847261348801169184312087378565428865419538532391378704837251940771658329893088169756722823309478863322854693738361<193>

3880610043226758979819111187897756575473553884703713113053751832668929710411299<79>
578089932285594235188392033635006927629118911412038228822406570762456463817110086215582911709877425952662735292339<114>

Number: 77771_230
N = 2243341597115754016583758539070994084840915559290428131201708182596770987769900847261348801169184312087378565428865419538532391378704837251940771658329893088169756722823309478863322854693738361 (193 digits)
SNFS difficulty: 231 digits.
Divisors found:
r1=3880610043226758979819111187897756575473553884703713113053751832668929710411299 (pp79)
r2=578089932285594235188392033635006927629118911412038228822406570762456463817110086215582911709877425952662735292339 (pp114)
Version: Msieve v. 1.52 (SVN 883 pre-release)
Total time: 3179.54 hours.
Factorization parameters were as follows:
n: 2243341597115754016583758539070994084840915559290428131201708182596770987769900847261348801169184312087378565428865419538532391378704837251940771658329893088169756722823309478863322854693738361
m: 100000000000000000000000000000000000000
deg: 6
c6: 700
c0: -61
skew: 0.67
# Murphy_E = 9.492e-13
type: snfs
lss: 1
rlim: 80000000
alim: 80000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 80000000/80000000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 85204514
Relations: 13399138 relations
Pruned matrix : 8974116 x 8974341
Polynomial selection time: 0.00 hours.
Total sieving time: 3088.10 hours.
Total relation processing time: 0.73 hours.
Matrix solve time: 90.26 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: snfs,231,6,0,0,0,0,0,0,0,0,80000000,80000000,30,30,59,59,2.7,2.7,100000
total time: 3179.54 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.69GHz

GGNFS, Msieve

1080412026011250981733109244082094375352548724766433123696635378327971846808672274221979809123174078345070472169270450543733061332031142231707119273121891643978084804882338228708324276486719551030448007116553189142624009<220>

235830663928534203295128932736113342598764722520561107468641643850821372719450347376817466156600695119586343260490938457330981030787664700920766921162579795205010659483376337634902269931<186>

2579408291034077377288897365561507024305458482288174228447115620712735539911739059952851585427226050266793911088584770018611794221336129146610247195419498548362444406335529378909546964556192223534293522491513553266876057872916231<229>

256380290953389299723090416132626513928837887688750439523848130699538640973977019516749961961979394139344367283<111>
10060868101218519503436846523562542925701726716319508677674121750002333432079737312026361723085193554224542738761201757<119>

Number: 77771_236
N = 2579408291034077377288897365561507024305458482288174228447115620712735539911739059952851585427226050266793911088584770018611794221336129146610247195419498548362444406335529378909546964556192223534293522491513553266876057872916231 (229 digits)
SNFS difficulty: 237 digits.
Divisors found:
r1=256380290953389299723090416132626513928837887688750439523848130699538640973977019516749961961979394139344367283 (pp111)
r2=10060868101218519503436846523562542925701726716319508677674121750002333432079737312026361723085193554224542738761201757 (pp119)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 618.23 hours.
Factorization parameters were as follows:
n: 2579408291034077377288897365561507024305458482288174228447115620712735539911739059952851585427226050266793911088584770018611794221336129146610247195419498548362444406335529378909546964556192223534293522491513553266876057872916231
m: 1000000000000000000000000000000000000000
deg: 6
c6: 700
c0: -61
skew: 0.67
# Murphy_E = 5.895e-13
type: snfs
lss: 1
rlim: 62000000
alim: 62000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 62000000/62000000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 96907733
Relations: 12095914 relations
Pruned matrix : 8395050 x 8395275
Total sieving time: 586.73 hours.
Total relation processing time: 0.58 hours.
Matrix solve time: 30.46 hours.
time per square root: 0.46 hours.
Prototype def-par.txt line would be: snfs,237,6,0,0,0,0,0,0,0,0,62000000,62000000,30,30,60,60,2.7,2.7,100000
total time: 618.23 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

865562865432070271176374321964600895709641213492781081939093064046741601460945771062948144292071055263806715407046826734802356645641577649366098298609924501844307877286498288392728490620621700715019041<201>

51517821377893350051578104941233740873297011223939247134826706904362329873159620050287371754089918096040957264312370684089971128991577819490060026375654485140187783881692935094083202971674736740179291621465830762526980119089<224>

323485187061612994209049542844402705981570904670843166982222239555684097724125139260471961355937907360358609411747529327801521406332543771905758409912160762846559543125167953650695066159605227976919107235462893338724029<219>

77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<242>

1503391039759930394056841078355272831423705770727454778836295937487674390532079657663472808130961868659694409808663<115>
51734895127616134831144953317190830071816765745014526505882694357941597485861363776755061519494633922999459131791442454816173517<128>

Number: 77771_242
N = 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771 (242 digits)
SNFS difficulty: 243 digits.
Divisors found:
r1=1503391039759930394056841078355272831423705770727454778836295937487674390532079657663472808130961868659694409808663 (pp115)
r2=51734895127616134831144953317190830071816765745014526505882694357941597485861363776755061519494633922999459131791442454816173517 (pp128)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6717.73 hours.
Factorization parameters were as follows:
n: 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
m: 10000000000000000000000000000000000000000
deg: 6
c6: 700
c0: -61
skew: 0.67
# Murphy_E = 3.646e-13
type: snfs
lss: 1
rlim: 80000000
alim: 80000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 80000000/80000000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 101395455
Relations: 14740148 relations
Pruned matrix : 10553009 x 10553233
Polynomial selection time: 0.00 hours.
Total sieving time: 6585.30 hours.
Total relation processing time: 0.79 hours.
Matrix solve time: 130.76 hours.
time per square root: 0.89 hours.
Prototype def-par.txt line would be: snfs,243,6,0,0,0,0,0,0,0,0,80000000,80000000,30,30,60,60,2.7,2.7,100000
total time: 6717.73 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

30605508117017974177695580127406358075700538219721314987517324903701954817525588390893549670553566197527949387234005342847274142280635020571273670081366929436814928492416392310147474826969573752716238845385345208270482736307314279218422767<239>

2446483374957447477998670163803163478867352329604717317723837132704544800690707838221218036231<94>
12510000448112714539497143536790382453513989509020106468172092155621090722686999887545949982758888412569223626081384814713659328229852897404349657<146>

Number: 77771_243
N = 30605508117017974177695580127406358075700538219721314987517324903701954817525588390893549670553566197527949387234005342847274142280635020571273670081366929436814928492416392310147474826969573752716238845385345208270482736307314279218422767 (239 digits)
SNFS difficulty: 244 digits.
Divisors found:
r1=2446483374957447477998670163803163478867352329604717317723837132704544800690707838221218036231 (pp94)
r2=12510000448112714539497143536790382453513989509020106468172092155621090722686999887545949982758888412569223626081384814713659328229852897404349657 (pp146)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8720.48 hours.
Factorization parameters were as follows:
n: 30605508117017974177695580127406358075700538219721314987517324903701954817525588390893549670553566197527949387234005342847274142280635020571273670081366929436814928492416392310147474826969573752716238845385345208270482736307314279218422767
m: 10000000000000000000000000000000000000000
deg: 6
c6: 7000
c0: -61
skew: 0.45
# Murphy_E = 2.62e-13
type: snfs
lss: 1
rlim: 100000000
alim: 100000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 100000000/100000000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 100102432
Relations: 17838108 relations
Pruned matrix : 12586165 x 12586390
Polynomial selection time: 0.00 hours.
Total sieving time: 8600.81 hours.
Total relation processing time: 1.25 hours.
Matrix solve time: 115.74 hours.
time per square root: 2.67 hours.
Prototype def-par.txt line would be: snfs,244,6,0,0,0,0,0,0,0,0,100000000,100000000,30,30,60,60,2.7,2.7,100000
total time: 8520.48 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, Msieve

6870865565904748718140621979013840427091299601978835941938963341249525515569264616703151399612360429161876165457627396642948618357220411315790299557085483731318665827468176727518704474143511538802900806296653274734245474051089661126691<235>

4896492302794062246879233268469357367327869861161383431327926204706946057825602042503277343766188970515782097824002575396893596799778819171716967611567326126441702437537378357470683541300481<190>

120918408690002566983444199941025496669861557189613689483249272344249096278621983613759006436996063600625439902293800756775846009748320801176379451293362669108644702209676879900596046859510724987<195>

366728071517839853119052398396283742754359685837<48>

329722260391840143843397664394687242102189592445787324124155864959319508083320078793168009654633072755702635210439193641809043405618357253434862951<147>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 120918408690002566983444199941025496669861557189613689483249272344249096278621983613759006436996063600625439902293800756775846009748320801176379451293362669108644702209676879900596046859510724987 (195 digits)
[Mon Nov 21 21:47:04 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=113708337
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 853949ms
Using 24 small primes for NTT
Estimated memory usage: 721M
Initializing tables of differences for F took 514ms
Computing roots of F took 22106ms
Building F from its roots took 12948ms
Computing 1/F took 5382ms
Initializing table of differences for G took 453ms
Computing roots of G took 18455ms
Building G from its roots took 12542ms
Computing roots of G took 18424ms
Building G from its roots took 12386ms
Computing G * H took 3136ms
Reducing  G * H mod F took 3292ms
Computing roots of G took 18408ms
Building G from its roots took 12542ms
Computing G * H took 3136ms
Reducing  G * H mod F took 3323ms
Computing roots of G took 18455ms
Building G from its roots took 12308ms
Computing G * H took 3042ms
Reducing  G * H mod F took 3276ms
Computing polyeval(F,G) took 27737ms
Computing product of all F(g_i) took 109ms
Step 2 took 212770ms
********** Factor found in step 2: 366728071517839853119052398396283742754359685837
Found probable prime factor of 48 digits: 366728071517839853119052398396283742754359685837
Composite cofactor 329722260391840143843397664394687242102189592445787324124155864959319508083320078793168009654633072755702635210439193641809043405618357253434862951 has 147 digits

GMP-ECM

329722260391840143843397664394687242102189592445787324124155864959319508083320078793168009654633072755702635210439193641809043405618357253434862951<147>

5014056555060895901216922775394736808864953554835279126979208208475621<70>
65759581442901306658234244499116222252476286177113469671353113452003762704731<77>

Number: 77771_246
N = 329722260391840143843397664394687242102189592445787324124155864959319508083320078793168009654633072755702635210439193641809043405618357253434862951 (147 digits)
Divisors found:
r1=5014056555060895901216922775394736808864953554835279126979208208475621 (pp70)
r2=65759581442901306658234244499116222252476286177113469671353113452003762704731 (pp77)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 782.95 hours.
Factorization parameters were as follows:
# Murphy_E = 8.852e-12, selected by Dmitry Domanov
n: 329722260391840143843397664394687242102189592445787324124155864959319508083320078793168009654633072755702635210439193641809043405618357253434862951
Y0: -45558245446301877048146442113
Y1: 21556224448370579
c0: 88478514960589560844695426828052021680
c1: -60065549642154620761096566868206
c2: -2439937908816531145559375
c3: 1386429351567074798
c4: 33000523252
c5: 1680
skew: 10193284.21
type: gnfs
# selected mechanically
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [13500000, 24600000)
Relations: 41261593
Relations in full relation-set: 6211806 relations
Pruned matrix : 3754059 x 3754287
Polynomial selection time: 0.00 hours.
Total sieving time: 766.77 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 15.55 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: gnfs,146,5,65,2000,1e-05,0.28,250,20,50000,3600,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 782.95 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

58817824821555480000985097845681643790299926958075927609726200049150033873561035186281867904512965825933789836541889954291773471729887857890189057924374162263671255359511914235244397450114514176905095725391<206>

2393149868940045990047144254613901812096451131<46>
24577576851719103216836664371998307402915285015945803258582594378826859543762275571487878314560605050508966882178016444816614569874248322349839092512110534334461<161>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=196199681
Step 1 took 391531ms
Step 2 took 100449ms
********** Factor found in step 2: 2393149868940045990047144254613901812096451131
Found probable prime factor of 46 digits: 2393149868940045990047144254613901812096451131
Probable prime cofactor 24577576851719103216836664371998307402915285015945803258582594378826859543762275571487878314560605050508966882178016444816614569874248322349839092512110534334461 has 161 digits

1757356552514892761668637839860824402691543396391048165883349046084262798601029652626937740972650462491381089235570227964899297080129699417044770883803308098222700266592621477703559667619330975619588278197563542161480549821277117<229>

364425891723476751536231<24>

4822260416799253871512006001007393135015912999891206048366848602685051828273515524105823653779779006615772479077780379083737988036424482366769082445562259349024218083546948823449432383245237390797857768507<205>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1707483900
Step 1 took 12133ms
Step 2 took 5248ms
********** Factor found in step 2: 364425891723476751536231
Found probable prime factor of 24 digits: 364425891723476751536231
Composite cofactor has 205 digits

4822260416799253871512006001007393135015912999891206048366848602685051828273515524105823653779779006615772479077780379083737988036424482366769082445562259349024218083546948823449432383245237390797857768507<205>

33189584243724319384712155328529187<35>

145294390595178216553894508733786325210780372968189811257755168658902491014709182941058218769175454108268078889248160729061414165528547338713903456167633016891796584036361<171>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 4822260416799253871512006001007393135015912999891206048366848602685051828273515524105823653779779006615772479077780379083737988036424482366769082445562259349024218083546948823449432383245237390797857768507 (205 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1900117495
Step 1 took 72524ms
Step 2 took 36318ms
********** Factor found in step 2: 33189584243724319384712155328529187
Found probable prime factor of 35 digits: 33189584243724319384712155328529187
Composite cofactor 145294390595178216553894508733786325210780372968189811257755168658902491014709182941058218769175454108268078889248160729061414165528547338713903456167633016891796584036361 has 171 digits

GMP-ECM

145294390595178216553894508733786325210780372968189811257755168658902491014709182941058218769175454108268078889248160729061414165528547338713903456167633016891796584036361<171>

26112272777797042695012617007883558729256843928658168424852241035413757641<74>
5564218474261662959248351948434064915546566703065970891024030751679204473960490771769962355289921<97>

sieving took ~173 cpu-days on Phenom 2 1090T (4Ghz), 0,09s/relation, 14e siever (-J 14)

Sat Jun 30 15:18:34 2012  Msieve v. 1.50 (SVN exported)
Sat Jun 30 15:18:34 2012  random seeds: e4ebeaef 320d6bdc
Sat Jun 30 15:18:34 2012  factoring 145294390595178216553894508733786325210780372968189811257755168658902491014709182941058218769175454108268078889248160729061414165528547338713903456167633016891796584036361 (171 digits)
Sat Jun 30 15:18:34 2012  searching for 15-digit factors
Sat Jun 30 15:18:35 2012  commencing number field sieve (171-digit input)
Sat Jun 30 15:18:35 2012  R0: -1173313188270326039510934058838290
Sat Jun 30 15:18:35 2012  R1: 935290946562735287
Sat Jun 30 15:18:35 2012  A0: -2194666214323181529715082839224408611554437
Sat Jun 30 15:18:35 2012  A1: 594824303609461696579665885855397058
Sat Jun 30 15:18:35 2012  A2: 24383520131362661579821517546
Sat Jun 30 15:18:35 2012  A3: -401317455485371309018
Sat Jun 30 15:18:35 2012  A4: -8242097146689
Sat Jun 30 15:18:35 2012  A5: 65340
Sat Jun 30 15:18:35 2012  skew 1.00, size 1.535e-16, alpha -7.621, combined = 1.079e-15 rroots = 5
Sat Jun 30 15:18:35 2012
Sat Jun 30 15:18:35 2012  commencing relation filtering
Sat Jun 30 15:18:35 2012  estimated available RAM is 32089.8 MB
Sat Jun 30 15:18:35 2012  commencing duplicate removal, pass 1
-- snipped 100´s of errors
Sat Jun 30 15:48:44 2012  skipped 4 relations with b > 2^32
Sat Jun 30 15:48:44 2012  found 22230419 hash collisions in 166304276 relations
Sat Jun 30 15:49:13 2012  added 1 free relations
Sat Jun 30 15:49:13 2012  commencing duplicate removal, pass 2
Sat Jun 30 15:57:34 2012  found 19572619 duplicates and 146731658 unique relations
Sat Jun 30 15:57:34 2012  memory use: 788.8 MB
Sat Jun 30 15:57:34 2012  reading ideals above 120782848
Sat Jun 30 15:57:34 2012  commencing singleton removal, initial pass
Sat Jun 30 16:26:28 2012  memory use: 3012.0 MB
Sat Jun 30 16:26:28 2012  reading all ideals from disk
Sat Jun 30 16:26:38 2012  memory use: 2477.2 MB
Sat Jun 30 16:26:43 2012  commencing in-memory singleton removal
Sat Jun 30 16:26:48 2012  begin with 146731657 relations and 143334235 unique ideals
Sat Jun 30 16:27:41 2012  reduce to 62006171 relations and 45071300 ideals in 21 passes
Sat Jun 30 16:27:41 2012  max relations containing the same ideal: 49
Sat Jun 30 16:27:44 2012  reading ideals above 720000
Sat Jun 30 16:27:44 2012  commencing singleton removal, initial pass
Sat Jun 30 16:45:21 2012  memory use: 1506.0 MB
Sat Jun 30 16:45:21 2012  reading all ideals from disk
Sat Jun 30 16:45:22 2012  memory use: 2412.2 MB
Sat Jun 30 16:45:28 2012  keeping 58486847 ideals with weight <= 200, target excess is 332584
Sat Jun 30 16:45:34 2012  commencing in-memory singleton removal
Sat Jun 30 16:45:40 2012  begin with 62006171 relations and 58486847 unique ideals
Sat Jun 30 16:47:01 2012  reduce to 61690323 relations and 58170752 ideals in 15 passes
Sat Jun 30 16:47:01 2012  max relations containing the same ideal: 200
Sat Jun 30 16:47:30 2012  removing 4764123 relations and 4364123 ideals in 400000 cliques
Sat Jun 30 16:47:32 2012  commencing in-memory singleton removal
Sat Jun 30 16:47:37 2012  begin with 56926200 relations and 58170752 unique ideals
Sat Jun 30 16:48:31 2012  reduce to 56660242 relations and 53538183 ideals in 11 passes
Sat Jun 30 16:48:31 2012  max relations containing the same ideal: 196
Sat Jun 30 16:48:58 2012  removing 3448441 relations and 3048442 ideals in 400000 cliques
Sat Jun 30 16:48:59 2012  commencing in-memory singleton removal
Sat Jun 30 16:49:04 2012  begin with 53211801 relations and 53538183 unique ideals
Sat Jun 30 16:49:50 2012  reduce to 53055027 relations and 50331741 ideals in 10 passes
Sat Jun 30 16:49:50 2012  max relations containing the same ideal: 188
Sat Jun 30 16:50:15 2012  removing 3030164 relations and 2630164 ideals in 400000 cliques
Sat Jun 30 16:50:16 2012  commencing in-memory singleton removal
Sat Jun 30 16:50:20 2012  begin with 50024863 relations and 50331741 unique ideals
Sat Jun 30 16:51:04 2012  reduce to 49893872 relations and 47569596 ideals in 10 passes
Sat Jun 30 16:51:04 2012  max relations containing the same ideal: 181
Sat Jun 30 16:51:27 2012  removing 2800532 relations and 2400532 ideals in 400000 cliques
Sat Jun 30 16:51:28 2012  commencing in-memory singleton removal
Sat Jun 30 16:51:32 2012  begin with 47093340 relations and 47569596 unique ideals
Sat Jun 30 16:52:05 2012  reduce to 46972286 relations and 45047152 ideals in 8 passes
Sat Jun 30 16:52:05 2012  max relations containing the same ideal: 173
Sat Jun 30 16:52:27 2012  removing 2650148 relations and 2250148 ideals in 400000 cliques
Sat Jun 30 16:52:28 2012  commencing in-memory singleton removal
Sat Jun 30 16:52:31 2012  begin with 44322138 relations and 45047152 unique ideals
Sat Jun 30 16:53:06 2012  reduce to 44206219 relations and 42680156 ideals in 9 passes
Sat Jun 30 16:53:06 2012  max relations containing the same ideal: 170
Sat Jun 30 16:53:26 2012  removing 2540504 relations and 2140504 ideals in 400000 cliques
Sat Jun 30 16:53:27 2012  commencing in-memory singleton removal
Sat Jun 30 16:53:31 2012  begin with 41665715 relations and 42680156 unique ideals
Sat Jun 30 16:54:00 2012  reduce to 41550061 relations and 40423050 ideals in 8 passes
Sat Jun 30 16:54:00 2012  max relations containing the same ideal: 165
Sat Jun 30 16:54:19 2012  removing 2462987 relations and 2062987 ideals in 400000 cliques
Sat Jun 30 16:54:20 2012  commencing in-memory singleton removal
Sat Jun 30 16:54:23 2012  begin with 39087074 relations and 40423050 unique ideals
Sat Jun 30 16:54:50 2012  reduce to 38970491 relations and 38242492 ideals in 8 passes
Sat Jun 30 16:54:50 2012  max relations containing the same ideal: 158
Sat Jun 30 16:55:08 2012  removing 2114345 relations and 1772144 ideals in 342201 cliques
Sat Jun 30 16:55:09 2012  commencing in-memory singleton removal
Sat Jun 30 16:55:12 2012  begin with 36856146 relations and 38242492 unique ideals
Sat Jun 30 16:55:37 2012  reduce to 36763493 relations and 36376991 ideals in 8 passes
Sat Jun 30 16:55:37 2012  max relations containing the same ideal: 151
Sat Jun 30 16:56:00 2012  relations with 0 large ideals: 1130
Sat Jun 30 16:56:00 2012  relations with 1 large ideals: 1374
Sat Jun 30 16:56:00 2012  relations with 2 large ideals: 22691
Sat Jun 30 16:56:00 2012  relations with 3 large ideals: 223323
Sat Jun 30 16:56:00 2012  relations with 4 large ideals: 1215488
Sat Jun 30 16:56:00 2012  relations with 5 large ideals: 3940281
Sat Jun 30 16:56:00 2012  relations with 6 large ideals: 7993006
Sat Jun 30 16:56:00 2012  relations with 7+ large ideals: 23366200
Sat Jun 30 16:56:00 2012  commencing 2-way merge
Sat Jun 30 16:56:24 2012  reduce to 21808312 relation sets and 21421810 unique ideals
Sat Jun 30 16:56:24 2012  commencing full merge
Sat Jun 30 17:01:26 2012  memory use: 2518.8 MB
Sat Jun 30 17:01:28 2012  found 11762242 cycles, need 11710010
Sat Jun 30 17:01:32 2012  weight of 11710010 cycles is about 819702413 (70.00/cycle)
Sat Jun 30 17:01:32 2012  distribution of cycle lengths:
Sat Jun 30 17:01:32 2012  1 relations: 1751509
Sat Jun 30 17:01:32 2012  2 relations: 1599455
Sat Jun 30 17:01:32 2012  3 relations: 1493280
Sat Jun 30 17:01:32 2012  4 relations: 1310108
Sat Jun 30 17:01:32 2012  5 relations: 1131965
Sat Jun 30 17:01:32 2012  6 relations: 969899
Sat Jun 30 17:01:32 2012  7 relations: 811637
Sat Jun 30 17:01:32 2012  8 relations: 665248
Sat Jun 30 17:01:32 2012  9 relations: 537542
Sat Jun 30 17:01:32 2012  10+ relations: 1439367
Sat Jun 30 17:01:32 2012  heaviest cycle: 20 relations
Sat Jun 30 17:01:35 2012  commencing cycle optimization
Sat Jun 30 17:01:50 2012  start with 59212384 relations
Sat Jun 30 17:02:51 2012  pruned 978955 relations
Sat Jun 30 17:02:52 2012  memory use: 2104.5 MB
Sat Jun 30 17:02:52 2012  distribution of cycle lengths:
Sat Jun 30 17:02:52 2012  1 relations: 1751509
Sat Jun 30 17:02:52 2012  2 relations: 1628667
Sat Jun 30 17:02:52 2012  3 relations: 1534292
Sat Jun 30 17:02:52 2012  4 relations: 1326838
Sat Jun 30 17:02:52 2012  5 relations: 1146830
Sat Jun 30 17:02:52 2012  6 relations: 971786
Sat Jun 30 17:02:52 2012  7 relations: 809887
Sat Jun 30 17:02:52 2012  8 relations: 659552
Sat Jun 30 17:02:52 2012  9 relations: 529533
Sat Jun 30 17:02:52 2012  10+ relations: 1351116
Sat Jun 30 17:02:52 2012  heaviest cycle: 20 relations
Sat Jun 30 17:03:08 2012  RelProcTime: 6273

Tue Jul  3 03:49:34 2012
Tue Jul  3 03:49:34 2012
Tue Jul  3 03:49:34 2012  Msieve v. 1.50 (SVN exported)
Tue Jul  3 03:49:34 2012  random seeds: d1e25f1f 3489ed32
Tue Jul  3 03:49:34 2012  factoring 145294390595178216553894508733786325210780372968189811257755168658902491014709182941058218769175454108268078889248160729061414165528547338713903456167633016891796584036361 (171 digits)
Tue Jul  3 03:49:35 2012  searching for 15-digit factors
Tue Jul  3 03:49:35 2012  commencing number field sieve (171-digit input)
Tue Jul  3 03:49:35 2012  R0: -1173313188270326039510934058838290
Tue Jul  3 03:49:35 2012  R1: 935290946562735287
Tue Jul  3 03:49:35 2012  A0: -2194666214323181529715082839224408611554437
Tue Jul  3 03:49:35 2012  A1: 594824303609461696579665885855397058
Tue Jul  3 03:49:35 2012  A2: 24383520131362661579821517546
Tue Jul  3 03:49:35 2012  A3: -401317455485371309018
Tue Jul  3 03:49:35 2012  A4: -8242097146689
Tue Jul  3 03:49:35 2012  A5: 65340
Tue Jul  3 03:49:35 2012  skew 1.00, size 1.535e-16, alpha -7.621, combined = 1.079e-15 rroots = 5
Tue Jul  3 03:49:35 2012
Tue Jul  3 03:49:35 2012  commencing linear algebra
Tue Jul  3 03:49:38 2012  matrix starts at (0, 0)
Tue Jul  3 03:49:40 2012  matrix is 11700199 x 11700378 (3592.3 MB) with weight 1126106826 (96.25/col)
Tue Jul  3 03:49:40 2012  sparse part has weight 801293019 (68.48/col)
Tue Jul  3 03:49:40 2012  saving the first 48 matrix rows for later
Tue Jul  3 03:49:41 2012  matrix includes 64 packed rows
Tue Jul  3 03:49:42 2012  matrix is 11700151 x 11700378 (3487.7 MB) with weight 903530995 (77.22/col)
Tue Jul  3 03:49:42 2012  sparse part has weight 797272834 (68.14/col)
Tue Jul  3 03:49:42 2012  using block size 65536 for processor cache size 8192 kB
Tue Jul  3 03:50:12 2012  commencing Lanczos iteration (4 threads)
Tue Jul  3 03:50:12 2012  memory use: 3081.3 MB
Tue Jul  3 03:50:12 2012  restarting at iteration 62884 (dim = 3976295)
Tue Jul  3 03:51:31 2012  linear algebra at 34.0%, ETA 111h29m
Tue Jul  3 03:51:40 2012  checkpointing every 70000 dimensions
Sat Jul  7 16:57:14 2012  lanczos halted after 185028 iterations (dim = 11700151)
Sat Jul  7 16:57:24 2012  recovered 31 nontrivial dependencies
Sat Jul  7 16:57:24 2012  BLanczosTime: 392869
Sat Jul  7 16:57:24 2012  elapsed time 109:07:50
Sat Jul  7 17:58:40 2012
Sat Jul  7 17:58:40 2012  Msieve v. 1.50 (SVN exported)
Sat Jul  7 17:58:40 2012  random seeds: 4fc1eee2 f7c10a8a
Sat Jul  7 17:58:40 2012  factoring 145294390595178216553894508733786325210780372968189811257755168658902491014709182941058218769175454108268078889248160729061414165528547338713903456167633016891796584036361 (171 digits)
Sat Jul  7 17:58:41 2012  searching for 15-digit factors
Sat Jul  7 17:58:41 2012  commencing number field sieve (171-digit input)
Sat Jul  7 17:58:41 2012  R0: -1173313188270326039510934058838290
Sat Jul  7 17:58:41 2012  R1: 935290946562735287
Sat Jul  7 17:58:41 2012  A0: -2194666214323181529715082839224408611554437
Sat Jul  7 17:58:41 2012  A1: 594824303609461696579665885855397058
Sat Jul  7 17:58:41 2012  A2: 24383520131362661579821517546
Sat Jul  7 17:58:41 2012  A3: -401317455485371309018
Sat Jul  7 17:58:41 2012  A4: -8242097146689
Sat Jul  7 17:58:41 2012  A5: 65340
Sat Jul  7 17:58:41 2012  skew 1.00, size 1.535e-16, alpha -7.621, combined = 1.079e-15 rroots = 5
Sat Jul  7 17:58:41 2012
Sat Jul  7 17:58:41 2012  commencing square root phase
Sat Jul  7 17:58:41 2012  reading relations for dependency 1
Sat Jul  7 17:58:43 2012  read 5850948 cycles
Sat Jul  7 17:58:50 2012  cycles contain 18203968 unique relations
Sat Jul  7 18:09:59 2012  read 18203968 relations
Sat Jul  7 18:11:16 2012  multiplying 18203968 relations
Sat Jul  7 18:30:58 2012  multiply complete, coefficients have about 999.04 million bits
Sat Jul  7 18:31:04 2012  initial square root is modulo 918103327
Sat Jul  7 18:54:13 2012  sqrtTime: 3332
Sat Jul  7 18:54:13 2012  prp74 factor: 26112272777797042695012617007883558729256843928658168424852241035413757641
Sat Jul  7 18:54:13 2012  prp97 factor: 5564218474261662959248351948434064915546566703065970891024030751679204473960490771769962355289921
Sat Jul  7 18:54:13 2012  elapsed time 00:55:33

Msieve 1.50,
ggnfs sievers

40721349621873182082606166375799883653286794648051192553810354857475276323443862710878417684700407213496218731820826061663757998836532867946480511925538103548574752763234438627108784176847004072134962187318208260616637579988365328679464805119255381<248>

192003666182059353925372718729258078879573325357531154654952315268721427893107353506199396396340428803623381850276689489611416927482869423298675040455345303501722353585299237924784865508439492630923042349501410148453529<219>

5961059684953545313785068164656221013983<40>

32209653371983582691784428455254987146995943631697688511021715273149581088543044234224358921485741003314238533657050105296649407515630403843933560529215012925039009055291705072263<179>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2972811789
Step 1 took 465045ms
Step 2 took 110920ms
********** Factor found in step 2: 5961059684953545313785068164656221013983
Found probable prime factor of 40 digits: 5961059684953545313785068164656221013983
Composite cofactor 32209653371983582691784428455254987146995943631697688511021715273149581088543044234224358921485741003314238533657050105296649407515630403843933560529215012925039009055291705072263 has 179 digits

32209653371983582691784428455254987146995943631697688511021715273149581088543044234224358921485741003314238533657050105296649407515630403843933560529215012925039009055291705072263<179>

119993819892132294072427554142178976681217246788601<51>
268427602362673780752081019738775520402927572303865819882102924130314166110054224467562991561040920629756761063097640506671950463<129>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 32209653371983582691784428455254987146995943631697688511021715273149581088543044234224358921485741003314238533657050105296649407515630403843933560529215012925039009055291705072263 (179 digits)
[Tue Nov 22 09:45:38 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=243273973
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35 40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 366712ms
Using 22 small primes for NTT
Estimated memory usage: 664M
Initializing tables of differences for F took 234ms
Computing roots of F took 12761ms
Building F from its roots took 8830ms
Computing 1/F took 3494ms
Initializing table of differences for G took 202ms
Computing roots of G took 10749ms
Building G from its roots took 8440ms
Computing roots of G took 10733ms
Building G from its roots took 8268ms
Computing G * H took 1997ms
Reducing  G * H mod F took 1872ms
Computing roots of G took 10764ms
Building G from its roots took 8237ms
Computing G * H took 1982ms
Reducing  G * H mod F took 1872ms
Computing roots of G took 10748ms
Building G from its roots took 8284ms
Computing G * H took 1996ms
Reducing  G * H mod F took 1857ms
Computing polyeval(F,G) took 17644ms
Computing product of all F(g_i) took 78ms
Step 2 took 131633ms
********** Factor found in step 2: 119993819892132294072427554142178976681217246788601
Found probable prime factor of 51 digits: 119993819892132294072427554142178976681217246788601
Probable prime cofactor 268427602362673780752081019738775520402927572303865819882102924130314166110054224467562991561040920629756761063097640506671950463 has 129 digits

GMP-ECM

12711500440698408446055398246417569928435142218295426275007056041896622901114386739150315780366607957778996900675515705197395056198005322924884458318915088963893999343170869636876191461399649436566256977<203>

6911144627177181495722721975474188229407463728354254061656506832909217337076845057324766927128471504338667698077393842233349510782376398435176967319869143485152002871249197<172>

208664383903446640874002097251674227803774570476654994868986386923<66>
33120863742492404200684454141455637642384088746644436407001469752296423826643442154117686999772175883930439<107>

prp66 factor: 208664383903446640874002097251674227803774570476654994868986386923
prp107 factor: 33120863742492404200684454141455637642384088746644436407001469752296423826643442154117686999772175883930439

ggnfs-lasieve4I14e on the RSALS grid + msieve

43884541941040882993214447766697149745054938695378886423230954245282835110543639332978103217636397476504373449787348037167527746072331219501166939504225011700814701851375887079005767004561561836333144551270348039297866795615624739<230>

129784290128892542456823050553162994311130855024594781078479154658538611641850013782028307539974867870336711324592296167276324392585677578078970519705243596234306752777785968557030876563912615349657509718036606325417562114836484224713388619943217533469<252>

558459207176089048770068597832412940504805947530512294141807347257710480995847064958928200536273032242561357824524528918919578006582247487295093992748917402087012828998895122936989013395129685768271351<201>

25416294732508034189835383739304031313707856994829<50>

21972487062081739559000304805723941987325774528723768254996011147655358878278180253048097377377652836542278149974594930092691721885816633769121322822419<152>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 558459207176089048770068597832412940504805947530512294141807347257710480995847064958928200536273032242561357824524528918919578006582247487295093992748917402087012828998895122936989013395129685768271351 (201 digits)
[Sun Nov 27 07:27:36 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2839405427
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 577468ms
Using 24 small primes for NTT
Estimated memory usage: 721M
Initializing tables of differences for F took 390ms
Computing roots of F took 18517ms
Building F from its roots took 13478ms
Computing 1/F took 5195ms
Initializing table of differences for G took 328ms
Computing roots of G took 15413ms
Building G from its roots took 12979ms
Computing roots of G took 15288ms
Building G from its roots took 13041ms
Computing G * H took 2839ms
Reducing  G * H mod F took 2824ms
Computing roots of G took 15366ms
Building G from its roots took 13167ms
Computing G * H took 2886ms
Reducing  G * H mod F took 2824ms
Computing roots of G took 15335ms
Building G from its roots took 13042ms
Computing G * H took 2902ms
Reducing  G * H mod F took 2777ms
Computing polyeval(F,G) took 26957ms
Computing product of all F(g_i) took 94ms
Step 2 took 196437ms
********** Factor found in step 2: 25416294732508034189835383739304031313707856994829
Found probable prime factor of 50 digits: 25416294732508034189835383739304031313707856994829
Composite cofactor 21972487062081739559000304805723941987325774528723768254996011147655358878278180253048097377377652836542278149974594930092691721885816633769121322822419 has 152 digits

GMP-ECM

21972487062081739559000304805723941987325774528723768254996011147655358878278180253048097377377652836542278149974594930092691721885816633769121322822419<152>

413635894519527822306870099709527242601051976037<48>
53120358637164683092212976545777567729031311792857479684205230822149089325471186534511539526016052305687<104>

Number: 77771_265
N = 21972487062081739559000304805723941987325774528723768254996011147655358878278180253048097377377652836542278149974594930092691721885816633769121322822419 (152 digits)
Divisors found:
r1=413635894519527822306870099709527242601051976037 (pp48)
r2=53120358637164683092212976545777567729031311792857479684205230822149089325471186534511539526016052305687 (pp104)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 1421.31 hours.
Factorization parameters were as follows:
# Murphy_E = 5.042e-12, selected by Erik Branger
n: 21972487062081739559000304805723941987325774528723768254996011147655358878278180253048097377377652836542278149974594930092691721885816633769121322822419
Y0: -273476974678452593687270845288
Y1: 1296762550686313
c0: 2370370133693779252870002695249295699
c1: -2025375485750321760966854872255
c2: 760139136297615459161933
c3: 942229059694303635
c4: -94378254768
c5: 14364
skew: 3602837.59
type: gnfs
# selected mechanically
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [18500000, 37600000)
Relations: 46050037
Relations in full relation-set: 6843728 relations
Pruned matrix : 4433212 x 4433438
Polynomial selection time: 0.00 hours.
Total sieving time: 1400.67 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 19.96 hours.
time per square root: 0.38 hours.
Prototype def-par.txt line would be: gnfs,151,5,65,2000,1e-05,0.28,250,20,50000,3600,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 1421.31 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1519639522006220003365995065451141043079930687892612602310417623589185506843566471619774549690173830875852757346697729556409417119061663339556244682515480882989749536111327033500145389744901436773904544939688463460460649132632057966375849607600016151<250>

35427205962514322461332680667565746472442672952080937797983489876282911735687497902036180173567770483956976129927883838887310244105254889011895781407159386801415256378244328930337603689401132902180301131878083917020194947213733796077069792681038191213<251>

2650913303823139214033819905061932965620604537219139001763830610926791215586785510745615303240794153487963605777880648362042137425792084469065066845032232208704950194697653055942371144320919837226197626488110538328273554045421134823644224379255229467088754171747<262>

8394321816420695940817500509062061028455226220999<49>
315798388696214850216151765498164162382840146754048150897310477367631933101098198901697369626776238155297035631742505909415270726297831222862965888300855729081548723606294766319093118605312262944854760753240741253<213>

GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 2650913303823139214033819905061932965620604537219139001763830610926791215586785510745615303240794153487963605777880648362042137425792084469065066845032232208704950194697653055942371144320919837226197626488110538328273554045421134823644224379255229467088754171747 (262 digits)
[Mon May 02 19:05:53 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1704699520
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35       40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 713611ms
Using 31 small primes for NTT
Estimated memory usage: 897M
Initializing tables of differences for F took 468ms
Computing roots of F took 18970ms
Building F from its roots took 10342ms
Computing 1/F took 4524ms
Initializing table of differences for G took 390ms
Computing roots of G took 15943ms
Building G from its roots took 10374ms
Computing roots of G took 15943ms
Building G from its roots took 10390ms
Computing G * H took 2433ms
Reducing  G * H mod F took 2325ms
Computing roots of G took 15943ms
Building G from its roots took 10343ms
Computing G * H took 2433ms
Reducing  G * H mod F took 2356ms
Computing roots of G took 15943ms
Building G from its roots took 10359ms
Computing G * H took 2433ms
Reducing  G * H mod F took 2356ms
Computing polyeval(F,G) took 19562ms
Computing product of all F(g_i) took 94ms
Step 2 took 174394ms
********** Factor found in step 2: 8394321816420695940817500509062061028455226220999
Found probable prime factor of 49 digits: 8394321816420695940817500509062061028455226220999
Probable prime cofactor 315798388696214850216151765498164162382840146754048150897310477367631933101098198901697369626776238155297035631742505909415270726297831222862965888300855729081548723606294766319093118605312262944854760753240741253 has 213 digits

GMP-ECM

85347397747939908570722543959723523344453134811731476010578200720635232747864372091280421220281536215659479510701006891441627682602210156982446204866991207854252422792224484511158996034922050497947339004870571987900050361828698877<230>

106805395669790893789929593734659496595666352083159798589218841883846943367986007205984027725155010545919265083558506398370726826827387300605978540919321040106457841945724930562051923574032493438785985869655271953311837050097854310084691<237>

1254145462877344938590552722859069185825261267<46>
85161888179024118842801474283909608219095872397483225354290494664002047858909009063004989745837861083957116122199630681079382510708637891478525234267449940997590080298941968015546599214956673<191>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 106805395669790893789929593734659496595666352083159798589218841883846943367986007205984027725155010545919265083558506398370726826827387300605978540919321040106457841945724930562051923574032493438785985869655271953311837050097854310084691 (237 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4025964775
Step 1 took 85597ms
Step 2 took 38595ms
********** Factor found in step 2: 1254145462877344938590552722859069185825261267
Found probable prime factor of 46 digits: 1254145462877344938590552722859069185825261267
Probable prime cofactor 85161888179024118842801474283909608219095872397483225354290494664002047858909009063004989745837861083957116122199630681079382510708637891478525234267449940997590080298941968015546599214956673 has 191 digits

GMP-ECM

1350289249883076116558262618752138160327809647356266935944567865703759274171334929345507307007970939174481605582643091563565982897494964863998605344466357739090051488703761022581832831216101939479765522100796727983177887466238974773921970079399682925615111<256>

38515718303909096447025670580905958671414486109769444835954321977000413679633764489097838026343674265925183347290409415645932436619595633391673706733745497019845720783287796126146507798848336583790251502292271122789663691304894867141179<236>

409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409<273>

42910768031369122039068449639514977029050082665451<50>

9539720306263131433667398093204758504464160161851427944662227443520901830789353413521490910708521075415945172461306132478960128490476180034653206403338047241975948917569173917577519395301732042638562025879149873484345608859<223>

GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409356725146198830409 (273 digits)
[Tue May 03 19:36:16 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=907346231
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 704016ms
Using 32 small primes for NTT
Estimated memory usage: 947M
Initializing tables of differences for F took 484ms
Computing roots of F took 20171ms
Building F from its roots took 14664ms
Computing 1/F took 6989ms
Initializing table of differences for G took 390ms
Computing roots of G took 16989ms
Building G from its roots took 13728ms
Computing roots of G took 16817ms
Building G from its roots took 13401ms
Computing G * H took 3916ms
Reducing  G * H mod F took 3697ms
Computing roots of G took 16708ms
Building G from its roots took 13868ms
Computing G * H took 3978ms
Reducing  G * H mod F took 3682ms
Computing roots of G took 16629ms
Building G from its roots took 13682ms
Computing G * H took 3978ms
Reducing  G * H mod F took 3837ms
Computing polyeval(F,G) took 26567ms
Computing product of all F(g_i) took 110ms
Step 2 took 215266ms
********** Factor found in step 2: 42910768031369122039068449639514977029050082665451
Found probable prime factor of 50 digits: 42910768031369122039068449639514977029050082665451
Composite cofactor 9539720306263131433667398093204758504464160161851427944662227443520901830789353413521490910708521075415945172461306132478960128490476180034653206403338047241975948917569173917577519395301732042638562025879149873484345608859 has 223 digits

GMP-ECM

7520874684390798780470799715161001844163110053574944169317956999497321550782379158652637945082308840627259213655142423988347255190087274118187299221430166668281847371133970425026755496840532150067061724963639987874282369335106099497027346067799271455823420140573<262>