269526611515229771672836695269380413385510175130506157107543076549664233927981393987792902581<93>

795809090623752224301704775278817744859<39>
338682498969665965499901130193421539222442974752330159<54>

Number: 2
N=269526611515229771672836695269380413385510175130506157107543076549664233927981393987792902581
  ( 93 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=795809090623752224301704775278817744859 (pp39)
 r2=338682498969665965499901130193421539222442974752330159 (pp54)
Version: GGNFS-0.77.1-VC8
Total time: 0.71 hours.
Scaled time: 1.40 units (timescale=1.963).
Factorization parameters were as follows:
n: 269526611515229771672836695269380413385510175130506157107543076549664233927981393987792902581
m: 5000000000000000000000
deg: 5
c5: 88
c0: 355
skew: 1.32
type: snfs
lss: 1
rlim: 490000
alim: 490000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 490000/490000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [245000, 395001)
Primes: RFBsize:40766, AFBsize:40609, largePrimes:1258579 encountered
Relations: rels:1276691, finalFF:183902
Max relations in full relation-set: 32
Initial matrix: 81441 x 183902 with sparse part having weight 8158930.
Pruned matrix : 54054 x 54525 with weight 1896575.
Total sieving time: 0.66 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,110,5,0,0,0,0,0,0,0,0,490000,490000,25,25,44,44,2.2,2.2,50000
total time: 0.71 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-VC8

15629440181869849389030974708724069337880079568059107701051435066780335322534811025859619210002841716396703609<110>

8496004963601417069043767504345188776275945693950363<52>
1839622298813323932133290065541136712345074736938839826043<58>

SNFS difficulty: 112 digits.
Divisors found:
 r1=8496004963601417069043767504345188776275945693950363 (pp52)
 r2=1839622298813323932133290065541136712345074736938839826043 (pp58)
Version: Msieve v. 1.41
Total time: 0.58 hours.
Scaled time: 1.58 units (timescale=2.726).
Factorization parameters were as follows:
n: 15629440181869849389030974708724069337880079568059107701051435066780335322534811025859619210002841716396703609
m: 10000000000000000000000
deg: 5
c5: 550
c0: 71
skew: 0.66
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 465001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 52949 x 53178
Total sieving time: 0.55 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,112.000,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,50000
total time: 0.58 hours.

418581393045689377984564463862677455714402642533209998362505773916333663494054907215380225573509567<99>

10612628407459289169056826061471913<35>
39441821288257056813672440441195723701568061228860695191005265959<65>

Wed May 13 18:40:18 2009  Msieve v. 1.41
Wed May 13 18:40:18 2009  random seeds: 299d5308 80c0a959
Wed May 13 18:40:18 2009  factoring 418581393045689377984564463862677455714402642533209998362505773916333663494054907215380225573509567 (99 digits)
Wed May 13 18:40:19 2009  searching for 15-digit factors
Wed May 13 18:40:20 2009  commencing quadratic sieve (99-digit input)
Wed May 13 18:40:20 2009  using multiplier of 43
Wed May 13 18:40:20 2009  using 32kb Intel Core sieve core
Wed May 13 18:40:20 2009  sieve interval: 36 blocks of size 32768
Wed May 13 18:40:20 2009  processing polynomials in batches of 6
Wed May 13 18:40:20 2009  using a sieve bound of 2605661 (95294 primes)
Wed May 13 18:40:20 2009  using large prime bound of 390849150 (28 bits)
Wed May 13 18:40:20 2009  using double large prime bound of 2921571209356950 (43-52 bits)
Wed May 13 18:40:20 2009  using trial factoring cutoff of 52 bits
Wed May 13 18:40:20 2009  polynomial 'A' values have 13 factors
Thu May 14 02:36:01 2009  95402 relations (23456 full + 71946 combined from 1419148 partial), need 95390
Thu May 14 02:36:03 2009  begin with 1442604 relations
Thu May 14 02:36:04 2009  reduce to 248255 relations in 11 passes
Thu May 14 02:36:04 2009  attempting to read 248255 relations
Thu May 14 02:36:08 2009  recovered 248255 relations
Thu May 14 02:36:08 2009  recovered 237014 polynomials
Thu May 14 02:36:09 2009  attempting to build 95402 cycles
Thu May 14 02:36:09 2009  found 95402 cycles in 6 passes
Thu May 14 02:36:09 2009  distribution of cycle lengths:
Thu May 14 02:36:09 2009     length 1 : 23456
Thu May 14 02:36:09 2009     length 2 : 16740
Thu May 14 02:36:09 2009     length 3 : 15775
Thu May 14 02:36:09 2009     length 4 : 13018
Thu May 14 02:36:09 2009     length 5 : 9827
Thu May 14 02:36:09 2009     length 6 : 6604
Thu May 14 02:36:09 2009     length 7 : 4044
Thu May 14 02:36:09 2009     length 9+: 5938
Thu May 14 02:36:09 2009  largest cycle: 21 relations
Thu May 14 02:36:09 2009  matrix is 95294 x 95402 (25.9 MB) with weight 6407269 (67.16/col)
Thu May 14 02:36:09 2009  sparse part has weight 6407269 (67.16/col)
Thu May 14 02:36:11 2009  filtering completed in 3 passes
Thu May 14 02:36:11 2009  matrix is 90901 x 90965 (24.9 MB) with weight 6155977 (67.67/col)
Thu May 14 02:36:11 2009  sparse part has weight 6155977 (67.67/col)
Thu May 14 02:36:11 2009  saving the first 48 matrix rows for later
Thu May 14 02:36:11 2009  matrix is 90853 x 90965 (14.9 MB) with weight 4832527 (53.13/col)
Thu May 14 02:36:11 2009  sparse part has weight 3372544 (37.08/col)
Thu May 14 02:36:11 2009  matrix includes 64 packed rows
Thu May 14 02:36:11 2009  using block size 36386 for processor cache size 1024 kB
Thu May 14 02:36:12 2009  commencing Lanczos iteration
Thu May 14 02:36:12 2009  memory use: 14.7 MB
Thu May 14 02:37:08 2009  lanczos halted after 1438 iterations (dim = 90847)
Thu May 14 02:37:08 2009  recovered 15 nontrivial dependencies
Thu May 14 02:37:10 2009  prp35 factor: 10612628407459289169056826061471913
Thu May 14 02:37:10 2009  prp65 factor: 39441821288257056813672440441195723701568061228860695191005265959
Thu May 14 02:37:10 2009  elapsed time 07:56:52

285660700865052406937603796147704614656446087367273326746205050617928636405919093004427741173180992481313<105>

5373828558294265105721640099799107187217633<43>
53157762248322536159642656786976043318598797786328241167792961<62>

Number: 61119_122
N=285660700865052406937603796147704614656446087367273326746205050617928636405919093004427741173180992481313
  ( 105 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=5373828558294265105721640099799107187217633 (pp43)
 r2=53157762248322536159642656786976043318598797786328241167792961 (pp62)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 4.07 hours.
Scaled time: 1.92 units (timescale=0.473).
Factorization parameters were as follows:
name: 61119_122
n: 285660700865052406937603796147704614656446087367273326746205050617928636405919093004427741173180992481313
m: 2000000000000000000000000
deg: 5
c5: 1375
c0: 568
skew: 0.84
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 820001)
Primes: RFBsize:66890, AFBsize:67446, largePrimes:1430103 encountered
Relations: rels:1423767, finalFF:171226
Max relations in full relation-set: 28
Initial matrix: 134403 x 171226 with sparse part having weight 8895848.
Pruned matrix : 120784 x 121520 with weight 4851384.
Total sieving time: 3.84 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,50000
total time: 4.07 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

152722835159661589179909953116879454214067758007163553303317915183692361104914415723369724182544041419019687<108>

13802361609306560051417136173839078839962476523<47>
11064978550966575301700323020187377468908938943339427779145269<62>

Number: 3
N=152722835159661589179909953116879454214067758007163553303317915183692361104914415723369724182544041419019687
  ( 108 digits)
SNFS difficulty: 126 digits.
Divisors found:
r1=13802361609306560051417136173839078839962476523 (pp47)
r2=11064978550966575301700323020187377468908938943339427779145269 (pp62)
Version: GGNFS-0.77.1-VC8
Total time: 1.93 hours.
Scaled time: 3.81 units (timescale=1.976).
Factorization parameters were as follows:
n: 152722835159661589179909953116879454214067758007163553303317915183692361104914415723369724182544041419019687
m: 10000000000000000000000000
deg: 5
c5: 55
c0: 71
skew: 1.05
type: snfs
lss: 1
rlim: 910000
alim: 910000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 910000/910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [455000, 805001)
Primes: RFBsize:72026, AFBsize:71959, largePrimes:2514719 encountered
Relations: rels:2404279, finalFF:195014
Max relations in full relation-set: 32
Initial matrix: 144051 x 195014 with sparse part having weight 16220392.
Pruned matrix : 128954 x 129738 with weight 7826179.
Total sieving time: 1.75 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,910000,910000,26,26,46,46,2.3,2.3,50000
total time: 1.93 hours.
 --------- CPU info (if available) ----------

27093605940382105687802024807602056821259075656855857209595838697644304254924346891285469235754267974673999971587<113>

147564695883632722993402372598585997374827274660357417<54>
183604931912357354495039990669131942492925879496484038120011<60>

Number: 4
N=27093605940382105687802024807602056821259075656855857209595838697644304254924346891285469235754267974673999971587
  ( 113 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=147564695883632722993402372598585997374827274660357417 (pp54)
 r2=183604931912357354495039990669131942492925879496484038120011 (pp60)
Version: Msieve v. 1.41
Total time: 2.05 hours.
Scaled time: 2.75 units (timescale=1.339).
Factorization parameters were as follows:
n: 27093605940382105687802024807602056821259075656855857209595838697644304254924346891285469235754267974673999971587
m: 20000000000000000000000000
deg: 5
c5: 1375
c0: 568
skew: 0.84
type: snfs
lss: 1
rlim: 1010000
alim: 1010000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1010000/1010000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [505000, 905001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 150245 x 150479
Total sieving time: 1.95 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1010000,1010000,26,26,47,47,2.3,2.3,50000
total time: 2.05 hours.
 --------- CPU info (if available) ----------

4145693600923600439019225896942391349240772136386757922097820672747695605767505311568861222153157503807<103>

57792086304242895797761529441075115537051264545837<50>
71734624341105295983203643470137196510267861291590811<53>

Number: 61119_130
N=4145693600923600439019225896942391349240772136386757922097820672747695605767505311568861222153157503807
  ( 103 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=57792086304242895797761529441075115537051264545837 (pp50)
 r2=71734624341105295983203643470137196510267861291590811 (pp53)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 4.08 hours.
Scaled time: 8.50 units (timescale=2.085).
Factorization parameters were as follows:
name: 61119_130
n: 4145693600923600439019225896942391349240772136386757922097820672747695605767505311568861222153157503807
m: 100000000000000000000000000
deg: 5
c5: 55
c0: 71
skew: 1.05
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1050001)
Primes: RFBsize:85714, AFBsize:85671, largePrimes:2883022 encountered
Relations: rels:2799303, finalFF:196462
Max relations in full relation-set: 0
Initial matrix: 171451 x 196462 with sparse part having weight 12761126.
Pruned matrix : 162923 x 163844 with weight 9315655.
Total sieving time: 3.59 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 4.08 hours.
 --------- CPU info (if available) ----------

Celeron(R) 550 2.0GHz, Windows Vista, Cygwin)

112640336803618269762916052700030857308265820299463961021200570271401157111171854972740116890768712749712618660706805006203512949<129>

49822004090217615607527790375081111028061432525658809403<56>
2260855195620981138777563605147208165708944206584407558122279483171277583<73>

Number: 5
N=112640336803618269762916052700030857308265820299463961021200570271401157111171854972740116890768712749712618660706805006203512949
  ( 129 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=49822004090217615607527790375081111028061432525658809403 (pp56)
r2=2260855195620981138777563605147208165708944206584407558122279483171277583 (pp73)
Version: Msieve v. 1.41
Total time: 3.38 hours.
Scaled time: 6.61 units (timescale=1.957).
Factorization parameters were as follows:
n: 112640336803618269762916052700030857308265820299463961021200570271401157111171854972740116890768712749712618660706805006203512949
m: 1000000000000000000000000000
deg: 5
c5: 11
c0: 142
skew: 1.67
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 196615 x 196847
Total sieving time: 3.22 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 3.38 hours.
 --------- CPU info (if available) ----------

58466023125017148035183346776393136065673832913946512417412712827611762064844287349598743950642933986539977953364579619<119>

1350876569924994979685157442302889<34>
43280063054364300687962637464433987423404953530263290263897966741530468685681866670571<86>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3080153974
Step 1 took 7820ms
Step 2 took 8057ms
********** Factor found in step 2: 1350876569924994979685157442302889
Found probable prime factor of 34 digits: 1350876569924994979685157442302889
Probable prime cofactor 43280063054364300687962637464433987423404953530263290263897966741530468685681866670571 has 86 digits

GMP-ECM 6.2.3

56867239656747940880840066906923991757368581244680647382966913848232606251219165722336772704148144736484366229434434369<119>

289391643646385040320441989989840975406837712761<48>
196506156640222333226584793107921238684003927617477930888307670421176329<72>

Number: 61119_138
N=56867239656747940880840066906923991757368581244680647382966913848232606251219165722336772704148144736484366229434434369
  ( 119 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=289391643646385040320441989989840975406837712761 (pp48)
 r2=196506156640222333226584793107921238684003927617477930888307670421176329 (pp72)
Version: Msieve-1.40
Total time: 4.20 hours.
Scaled time: 5.04 units (timescale=1.199).
Factorization parameters were as follows:
n: 56867239656747940880840066906923991757368581244680647382966913848232606251219165722336772704148144736484366229434434369
m: 5000000000000000000000000000
deg: 5
c5: 88
c0: 355
skew: 1.32
type: snfs
lss: 1
rlim: 1530000
alim: 1530000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1530000/1530000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [765000, 1515001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 255878 x 256126
Total sieving time: 4.04 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,75000
total time: 4.20 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

925275478785158917225656192117079539340868018513415131273758526283118667747065881088140373927<93>

86804442778701194714084453798411031294437723<44>
10659310159320433870594507542608353345250244368549<50>

Wed May 13 14:06:03 2009  Msieve v. 1.41
Wed May 13 14:06:03 2009  random seeds: 34888b00 964c2405
Wed May 13 14:06:03 2009  factoring 925275478785158917225656192117079539340868018513415131273758526283118667747065881088140373927 (93 digits)
Wed May 13 14:06:04 2009  searching for 15-digit factors
Wed May 13 14:06:06 2009  commencing quadratic sieve (93-digit input)
Wed May 13 14:06:06 2009  using multiplier of 15
Wed May 13 14:06:06 2009  using 32kb Intel Core sieve core
Wed May 13 14:06:06 2009  sieve interval: 36 blocks of size 32768
Wed May 13 14:06:06 2009  processing polynomials in batches of 6
Wed May 13 14:06:06 2009  using a sieve bound of 1956901 (72864 primes)
Wed May 13 14:06:06 2009  using large prime bound of 244612625 (27 bits)
Wed May 13 14:06:06 2009  using double large prime bound of 1256787622996125 (42-51 bits)
Wed May 13 14:06:06 2009  using trial factoring cutoff of 51 bits
Wed May 13 14:06:06 2009  polynomial 'A' values have 12 factors
Wed May 13 17:07:46 2009  73280 relations (18342 full + 54938 combined from 1001546 partial), need 72960
Wed May 13 17:07:48 2009  begin with 1019888 relations
Wed May 13 17:07:49 2009  reduce to 189126 relations in 12 passes
Wed May 13 17:07:49 2009  attempting to read 189126 relations
Wed May 13 17:07:52 2009  recovered 189126 relations
Wed May 13 17:07:52 2009  recovered 173044 polynomials
Wed May 13 17:07:52 2009  attempting to build 73280 cycles
Wed May 13 17:07:52 2009  found 73280 cycles in 6 passes
Wed May 13 17:07:52 2009  distribution of cycle lengths:
Wed May 13 17:07:52 2009     length 1 : 18342
Wed May 13 17:07:52 2009     length 2 : 12923
Wed May 13 17:07:52 2009     length 3 : 12297
Wed May 13 17:07:52 2009     length 4 : 9931
Wed May 13 17:07:52 2009     length 5 : 7447
Wed May 13 17:07:52 2009     length 6 : 4947
Wed May 13 17:07:52 2009     length 7 : 3129
Wed May 13 17:07:52 2009     length 9+: 4264
Wed May 13 17:07:52 2009  largest cycle: 18 relations
Wed May 13 17:07:53 2009  matrix is 72864 x 73280 (19.4 MB) with weight 4798388 (65.48/col)
Wed May 13 17:07:53 2009  sparse part has weight 4798388 (65.48/col)
Wed May 13 17:07:54 2009  filtering completed in 3 passes
Wed May 13 17:07:54 2009  matrix is 69225 x 69289 (18.4 MB) with weight 4546351 (65.61/col)
Wed May 13 17:07:54 2009  sparse part has weight 4546351 (65.61/col)
Wed May 13 17:07:54 2009  saving the first 48 matrix rows for later
Wed May 13 17:07:54 2009  matrix is 69177 x 69289 (11.9 MB) with weight 3640733 (52.54/col)
Wed May 13 17:07:54 2009  sparse part has weight 2716755 (39.21/col)
Wed May 13 17:07:54 2009  matrix includes 64 packed rows
Wed May 13 17:07:54 2009  using block size 27715 for processor cache size 1024 kB
Wed May 13 17:07:55 2009  commencing Lanczos iteration
Wed May 13 17:07:55 2009  memory use: 11.3 MB
Wed May 13 17:08:29 2009  lanczos halted after 1096 iterations (dim = 69175)
Wed May 13 17:08:29 2009  recovered 18 nontrivial dependencies
Wed May 13 17:08:29 2009  prp44 factor: 86804442778701194714084453798411031294437723
Wed May 13 17:08:29 2009  prp50 factor: 10659310159320433870594507542608353345250244368549
Wed May 13 17:08:29 2009  elapsed time 03:02:26

15225300291787219991255509950617093567241683938470837984337757123021294767004829225327161644868299881682769401<110>

27019354239685156397295913693344519066703<41>
563496083463933782315403603663316451548918552533691438676317697210167<69>

Number: 61119_143
N=15225300291787219991255509950617093567241683938470837984337757123021294767004829225327161644868299881682769401
  ( 110 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=27019354239685156397295913693344519066703 (pp41)
 r2=563496083463933782315403603663316451548918552533691438676317697210167 (pp69)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 17.08 hours.
Scaled time: 8.08 units (timescale=0.473).
Factorization parameters were as follows:
name: 61119_143
n: 15225300291787219991255509950617093567241683938470837984337757123021294767004829225327161644868299881682769401
m: 50000000000000000000000000000
deg: 5
c5: 88
c0: 355
skew: 1.32
type: snfs
lss: 1
rlim: 1860000
alim: 1860000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1860000/1860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [930000, 2230001)
Primes: RFBsize:139249, AFBsize:139185, largePrimes:3996264 encountered
Relations: rels:4113629, finalFF:376850
Max relations in full relation-set: 28
Initial matrix: 278500 x 376850 with sparse part having weight 36482233.
Pruned matrix : 244485 x 245941 with weight 20666563.
Total sieving time: 15.21 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.59 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1860000,1860000,26,26,49,49,2.3,2.3,100000
total time: 17.08 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

344283701602467697819545543720316890177993480146959973341192007240028560242683202522108961092181053589124501883180281265657472736105347<135>

1570742754374861168243498981181423131<37>
281156538114519295288982577419736057441054869<45>
779584528197470392113982771350216223141302084755533973<54>

Number: 61119_145
N=344283701602467697819545543720316890177993480146959973341192007240028560242683202522108961092181053589124501883180281265657472736105347
  ( 135 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1570742754374861168243498981181423131 (pp37)
 r2=281156538114519295288982577419736057441054869 (pp45)
 r3=779584528197470392113982771350216223141302084755533973 (pp54)
Version: Msieve-1.40
Total time: 8.17 hours.
Scaled time: 9.79 units (timescale=1.199).
Factorization parameters were as follows:
n: 344283701602467697819545543720316890177993480146959973341192007240028560242683202522108961092181053589124501883180281265657472736105347
m: 100000000000000000000000000000
deg: 5
c5: 55
c0: 71
skew: 1.05
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [975000, 2375001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 360259 x 360506
Total sieving time: 7.81 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 8.17 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

30844029978573254077730757669858733928949872821559620952427523276346699752871476705023809435008238577131892770845902104685681541243<131>

1202940587193747624789004146323185267<37>
25640526478973531362019019068776774655905775461468850331552024081456281866972753004198890605529<95>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=129212221
Step 1 took 7868ms
Step 2 took 4637ms
********** Factor found in step 2: 1202940587193747624789004146323185267
Found probable prime factor of 37 digits: 1202940587193747624789004146323185267
Probable prime cofactor has 95 digits

GMP-ECM 6.2.3

7517914492421835984058082848772797746445706638101076514609535759322165343395314387564217846404742848049963<106>

38467029705765547003621767930288053<35>
195437873678482374142781791356471424100324561115046333227355307258309471<72>

Number: 61119_147
N=7517914492421835984058082848772797746445706638101076514609535759322165343395314387564217846404742848049963
  ( 106 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=38467029705765547003621767930288053 (pp35)
 r2=195437873678482374142781791356471424100324561115046333227355307258309471 (pp72)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 30.08 hours.
Scaled time: 14.26 units (timescale=0.474).
Factorization parameters were as follows:
name: 61119_147
n: 7517914492421835984058082848772797746445706638101076514609535759322165343395314387564217846404742848049963
m: 200000000000000000000000000000
deg: 5
c5: 1375
c0: 568
skew: 0.84
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3300001)
Primes: RFBsize:162662, AFBsize:163732, largePrimes:4529351 encountered
Relations: rels:4808079, finalFF:401513
Max relations in full relation-set: 28
Initial matrix: 326461 x 401513 with sparse part having weight 45599410.
Pruned matrix : 298915 x 300611 with weight 32209704.
Total sieving time: 26.26 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 3.41 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 30.08 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

25166551547245705068022667865324015802313222330807856045784508390828702589330659816586726877460696078270591924272438604665201547027<131>

23212997212751433550558533812477592022876236828704855219<56>
1084157780944424495342154432830333239216149136776625618872855134155864499233<76>

Number: 61119_149
N=25166551547245705068022667865324015802313222330807856045784508390828702589330659816586726877460696078270591924272438604665201547027
  ( 131 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=23212997212751433550558533812477592022876236828704855219 (pp56)
 r2=1084157780944424495342154432830333239216149136776625618872855134155864499233 (pp76)
Version: Msieve v. 1.41
Total time: 19.18 hours.
Scaled time: 13.08 units (timescale=0.682).
Factorization parameters were as follows:
n: 25166551547245705068022667865324015802313222330807856045784508390828702589330659816586726877460696078270591924272438604665201547027
m: 1000000000000000000000000000000
deg: 5
c5: 11
c0: 142
skew: 1.67
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 429819 x 430067
Total sieving time: 18.45 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 19.18 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

890563417348457120832571640459891732891698128325691856818376277007924756340699090705920238580843477520126626410005759<117>

143979646441272912798751233599595527<36>
6185342438048729794328561855111197190980660408468874396459980926568055950707673417<82>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 890563417348457120832571640459891732891698128325691856818376277007924756340699090705920238580843477520126626410005759 (117 digits)
Using B1=2812000, B2=4281592780, polynomial Dickson(6), sigma=962927361
Step 1 took 31293ms
Step 2 took 11045ms
********** Factor found in step 2: 143979646441272912798751233599595527
Found probable prime factor of 36 digits: 143979646441272912798751233599595527
Probable prime cofactor 6185342438048729794328561855111197190980660408468874396459980926568055950707673417 has 82 digits

164266510759235935151091684199368678071275955875794973838775544060115590128095146270263568553806905435199397302142613446385652138637818176187343<144>

4370158092582282757313947484456642816270989901770322191<55>
37588230741138358916968159138254050527582219668790482732985280376540552048714496247601473<89>

Number: n
N=164266510759235935151091684199368678071275955875794973838775544060115590128095146270263568553806905435199397302142613446385652138637818176187343
  ( 144 digits)
SNFS difficulty: 157 digits.
Divisors found:

Sun May 17 13:36:38 2009  prp55 factor: 4370158092582282757313947484456642816270989901770322191
Sun May 17 13:36:38 2009  prp89 factor: 37588230741138358916968159138254050527582219668790482732985280376540552048714496247601473
Sun May 17 13:36:38 2009  elapsed time 00:38:11 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 18.14 hours.
Scaled time: 48.25 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_1_155_9
n: 164266510759235935151091684199368678071275955875794973838775544060115590128095146270263568553806905435199397302142613446385652138637818176187343
m: 10000000000000000000000000000000
deg: 5
c5: 550
c0: 71
skew: 0.66
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1500000, 2621263)
Primes: RFBsize:216816, AFBsize:216593, largePrimes:12448399 encountered
Relations: rels:11358348, finalFF:405451
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 973747 hash collisions in 12361528 relations
Msieve: matrix is 559501 x 559749 (151.1 MB)

Total sieving time: 17.86 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,56,56,2.4,2.4,100000
total time: 18.14 hours.
 --------- CPU info (if available) ----------

5749260228178730669619786717761222950011415158355549533147526451268751883270957466810123899031638901689018728723513873259203959052863467363357<142>

1686182319884758962774964750881255991601351889743917277737<58>
3409631426198123185000501403935973337864779640058934109973986572635032460917715202261<85>

Number: n
N=5749260228178730669619786717761222950011415158355549533147526451268751883270957466810123899031638901689018728723513873259203959052863467363357
  ( 142 digits)
SNFS difficulty: 159 digits.
Divisors found:

Sun May 17 18:57:23 2009  prp58 factor: 1686182319884758962774964750881255991601351889743917277737
Sun May 17 18:57:23 2009  prp85 factor: 3409631426198123185000501403935973337864779640058934109973986572635032460917715202261
Sun May 17 18:57:23 2009  elapsed time 00:42:44 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 23.25 hours.
Scaled time: 61.08 units (timescale=2.627).
Factorization parameters were as follows:
name: KA_6_1_156_9
n: 5749260228178730669619786717761222950011415158355549533147526451268751883270957466810123899031638901689018728723513873259203959052863467363357
m: 20000000000000000000000000000000
deg: 5
c5: 1375
c0: 568
skew: 0.84
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1600000, 3000103)
Primes: RFBsize:230209, AFBsize:230864, largePrimes:13258094 encountered
Relations: rels:12352354, finalFF:499172
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1168747 hash collisions in 13306719 relations
Msieve: matrix is 600048 x 600296 (161.2 MB)

Total sieving time: 22.97 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,56,56,2.4,2.4,100000
total time: 23.25 hours.
 --------- CPU info (if available) ----------

7895506534575918751212787582924128559822974005636597371023138514163827952905929872967124001980745262014498804207661589819049441882953<133>

140978348475664396838504814127042339<36>
882572282190700517976402060539018250089665494407<48>
63456672439732865549259372993901595965810017344261<50>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2455922270
Step 1 took 49813ms
Step 2 took 16422ms
********** Factor found in step 2: 140978348475664396838504814127042339
Found probable prime factor of 36 digits: 140978348475664396838504814127042339
Composite cofactor 56005100215362762921524962760356855338997610012921755070987428408384155357213923636656407689048227 has 98 digits

Number: 0
N=56005100215362762921524962760356855338997610012921755070987428408384155357213923636656407689048227
  ( 98 digits)
Divisors found:
 r1=882572282190700517976402060539018250089665494407 (pp48)
 r2=63456672439732865549259372993901595965810017344261 (pp50)
Version: Msieve v. 1.41
Total time: 4.15 hours.
Scaled time: 8.17 units (timescale=1.969).
Factorization parameters were as follows:
name: 0
n: 56005100215362762921524962760356855338997610012921755070987428408384155357213923636656407689048227
skew: 1563.26
# norm 4.73e+012
c5: 54720
c4: 420073014
c3: -981929555154
c2: -902696291016996
c1: 539606548664109961
c0: 133625764604402100645
# alpha -3.85
Y1: 6255630337
Y0: -3999587985258256558
# Murphy_E 4.32e-009
# M 7500094444286231710467509873971966573554565601358545473228276408641175903590409269742379495665611
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 159857 x 160093
Polynomial selection time: 0.29 hours.
Total sieving time: 3.70 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.15 hours.
 --------- CPU info (if available) ----------

GMP-ECM 6.2.3, Msieve v. 1.41

5974846132010565473273718653317702536894929614781964497842106328436804159921963100290714032559044192138130940159247390971510433112663219450669<142>

88539989319060976418882479999944058891<38>
67481893525870289348177804373535358169251913889732089510397032622620280152860264580806539879951990357159<104>

Msieve v. 1.41
Sat May 16 23:48:25 2009
random seeds: 1adbc9bd 4cfcd870
factoring 5974846132010565473273718653317702536894929614781964497842106328436804159921963100290714032559044192138130940159247390971510433112663219450669 (142 digits)
searching for 15-digit factors
commencing number field sieve (142-digit input)
R0: -100000000000000000000000000000000
R1:  1
A0:  71
A1:  0
A2:  0
A3:  0
A4:  0
A5:  55
skew 1.05, size 1.984130e-11, alpha 1.074395, combined = 4.937228e-10

commencing square root phase
reading relations for dependency 1
read 278577 cycles
cycles contain 1059584 unique relations
read 1059584 relations
multiplying 848856 relations
multiply complete, coefficients have about 23.21 million bits
initial square root is modulo 4621231
sqrtTime: 135
prp38 factor: 88539989319060976418882479999944058891
prp104 factor: 67481893525870289348177804373535358169251913889732089510397032622620280152860264580806539879951990357159
elapsed time 00:02:16

Total sieving time: 18:12:01

ggnfs/msieve

Q6700

873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873017<162>

27343748654766962023770897524061237446659<41>
5056764184952869943581882885968674046825445552654199267029<58>
6313808207126857150929194815143949309287693135354451798881427847<64>

N=873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873017
  ( 162 digits)
SNFS difficulty: 164 digits.
Divisors found:
r1=27343748654766962023770897524061237446659 (pp41)
r2=5056764184952869943581882885968674046825445552654199267029 (pp58)
r3=6313808207126857150929194815143949309287693135354451798881427847 (pp64)
Version: Msieve v. 1.41
Total time: 41.38 hours.
Scaled time: 36.42 units (timescale=0.880).
Factorization parameters were as follows:
n: 873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873017
m: 200000000000000000000000000000000
deg: 5
c5: 1375
c0: 568
skew: 0.84
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 712923 x 713171
Total sieving time: 39.93 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.91 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 41.38 hours.
 --------- CPU info (if available) ----------

18903732185502289828501839896084310878301089415629057361260498988501343809675002751261632963429076557413005369751253485423580040909029496087780269683004627<155>

24335341153262737407629933896579409<35>
776801609907481825359557101187910185903023150073711522354469400696299227987950943173477493221818097747365114068869669603<120>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3179055233
Step 1 took 68563ms
Step 2 took 22078ms
********** Factor found in step 2: 24335341153262737407629933896579409
Found probable prime factor of 35 digits: 24335341153262737407629933896579409
Probable prime cofactor 776801609907481825359557101187910185903023150073711522354469400696299227987950943173477493221818097747365114068869669603 has 120 digits

GMP-ECM 6.2.3

23771349988230677119949782157008310396142707023750348259839893370139875105742944357634737445469850540792487658964375109431112528945069238224822787510794304763<158>

4368395824318766408050439945935647525108707809<46>
5441665761123586513039701393455608632083915097455189199613841488885076266307031749893027851414099021773762658907<112>

Number: n
N=23771349988230677119949782157008310396142707023750348259839893370139875105742944357634737445469850540792487658964375109431112528945069238224822787510794304763
  ( 158 digits)
SNFS difficulty: 167 digits.
Divisors found:

Tue May 19 17:51:37 2009  prp46 factor: 4368395824318766408050439945935647525108707809
Tue May 19 17:51:37 2009  prp112 factor: 5441665761123586513039701393455608632083915097455189199613841488885076266307031749893027851414099021773762658907
Tue May 19 17:51:37 2009  elapsed time 00:59:13 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 46.95 hours.
Scaled time: 124.89 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_1_165_9
n: 23771349988230677119949782157008310396142707023750348259839893370139875105742944357634737445469850540792487658964375109431112528945069238224822787510794304763
m: 1000000000000000000000000000000000
deg: 5
c5: 550
c0: 71
skew: 0.66
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2200000, 4930207)
Primes: RFBsize:309335, AFBsize:308675, largePrimes:16930723 encountered
Relations: rels:17097659, finalFF:662576
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2077248 hash collisions in 18962584 relations
Msieve: matrix is 711056 x 711304 (188.0 MB)

Total sieving time: 46.23 hours.
Total relation processing time: 0.73 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,28,28,56,56,2.4,2.4,100000
total time: 46.95 hours.
 --------- CPU info (if available) ----------

61755291428922812426255397102589935497446521374692997679176974193227192445405517454300856356105171365453920891790332538996799536034779512299928436301<149>

15417904565595260846145189831758985988853<41>
4005427012872325335566780151439560381843187368300758259621127417374298478093358344498755291601015884297338617<109>

C149=P41*P109
C149=15417904565595260846145189831758985988853<41>*4005427012872325335566780151439560381843187368300758259621127417374298478093358344498755291601015884297338617<109>

36894334512091048654236822948499683065906696676088162506229580105617891866969334928288193930352386232758819724487918773536877070945133685323995868190489<152>

4051314161189975816333577239<28>

9106757225969912881333194990833285699269760699586847310985480208600176868257330699000978309517694764014428821400787481756751<124>

GMP-ECM 6.2.3 [powered by GMP 4.2.2] [ECM]
Input number is 36894334512091048654236822948499683065906696676088162506229580105617891866969334928288193930352386232758819724487918773536877070945133685323995868190489 (152 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=937539043
Step 1 took 6087ms
Step 2 took 4888ms
Run 2 out of 820:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3259751403
Step 1 took 6043ms
Step 2 took 4888ms
Run 3 out of 820:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2439804481
Step 1 took 6045ms
Step 2 took 4879ms
Run 4 out of 820:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=806004781
Step 1 took 6057ms
Step 2 took 4933ms
Run 5 out of 820:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3046784091
Step 1 took 6096ms
Step 2 took 4901ms
Run 6 out of 820:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3621452165
Step 1 took 6024ms
Step 2 took 4950ms
Run 7 out of 820:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1549145450
Step 1 took 6084ms
Step 2 took 4925ms
Run 8 out of 820:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1183815268
Step 1 took 6092ms
Step 2 took 4937ms
Run 9 out of 820:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2498803284
Step 1 took 6157ms
Step 2 took 4941ms
Run 10 out of 820:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=440176220
Step 1 took 6072ms
Step 2 took 4917ms
********** Factor found in step 2: 4051314161189975816333577239
Found probable prime factor of 28 digits: 4051314161189975816333577239
Composite cofactor 9106757225969912881333194990833285699269760699586847310985480208600176868257330699000978309517694764014428821400787481756751 has 124 digits

GMP-ECM 6.2.3

SimplyMEPIS 8 (~Debian Lenny) x86_64 running on Core 2 Duo T7200.

9106757225969912881333194990833285699269760699586847310985480208600176868257330699000978309517694764014428821400787481756751<124>

15505584418716736261260920800939868311<38>
587321121219860526817229192460046953047699552171738577900691895117464529118402936396041<87>

Number: 61119_172
N=9106757225969912881333194990833285699269760699586847310985480208600176868257330699000978309517694764014428821400787481756751
  ( 124 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=15505584418716736261260920800939868311 (pp38)
 r2=587321121219860526817229192460046953047699552171738577900691895117464529118402936396041 (pp87)
Version: Msieve v. 1.43
Total time: 168.60 hours.
Scaled time: 368.73 units (timescale=2.187).
Factorization parameters were as follows:
n: 9106757225969912881333194990833285699269760699586847310985480208600176868257330699000978309517694764014428821400787481756751
m: 20000000000000000000000000000000000
deg: 5
c5: 1375
c0: 568
skew: 0.84
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 10000
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 7430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1067303 x 1067528
Total sieving time: 163.84 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.85 hours.
Time per square root: 0.75 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 168.60 hours.
 --------- CPU info (if available) ----------
[    0.029439] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.101689] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2043420k/2096800k available (7091k kernel code, 452k absent, 52268k reserved, 3271k data, 540k init)
[    0.000999] Calibrating delay loop (skipped), value calculated using timer frequency.. 3990.57 BogoMIPS (lpj=1995288)
[    0.000999] Calibrating delay using timer specific routine.. 3989.82 BogoMIPS (lpj=1994913)
[    0.102027] Total of 2 processors activated (7980.40 BogoMIPS).

GGNFS + Msieve

2322298156727350893141726170384541455958749161402301754684996912251259013889458379732322709710184325829308188941384227603696407887367323358961413542522235614282338026111<169>

81727638707370283924496862054177265299273575349855789211240841449<65>
28415089356031078099015583370328185849669532443921379935582125548419682968438243873887496311949852870439<104>

Number: 61119_175
N=2322298156727350893141726170384541455958749161402301754684996912251259013889458379732322709710184325829308188941384227603696407887367323358961413542522235614282338026111
  ( 169 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=81727638707370283924496862054177265299273575349855789211240841449
 r2=28415089356031078099015583370328185849669532443921379935582125548419682968438243873887496311949852870439
Version: 
Total time: 139.32 hours.
Scaled time: 280.46 units (timescale=2.013).
Factorization parameters were as follows:
n: 2322298156727350893141726170384541455958749161402301754684996912251259013889458379732322709710184325829308188941384227603696407887367323358961413542522235614282338026111
m: 100000000000000000000000000000000000
deg: 5
c5: 55
c0: 71
skew: 1.05
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 7400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1132913 x 1133161
Total sieving time: 139.32 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,176,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 139.32 hours.
 --------- CPU info (if available) ----------

31064401419175830752987695425282115848896352314027889178842242194209797175862417798476387152142812437628845586442426388828691013942297038868166084790851755691677389593<167>

2851128820743888475836237010276601462602337935480787861<55>
10895474519832749198233966619277676008247730710565857786146603139801620537451903788209503232561917359117479223413<113>

Number: n
N=31064401419175830752987695425282115848896352314027889178842242194209797175862417798476387152142812437628845586442426388828691013942297038868166084790851755691677389593
  ( 167 digits)
SNFS difficulty: 178 digits.
Divisors found:

Tue Feb  7 13:41:57 2012  prp55 factor: 2851128820743888475836237010276601462602337935480787861
Tue Feb  7 13:41:57 2012  prp113 factor: 10895474519832749198233966619277676008247730710565857786146603139801620537451903788209503232561917359117479223413
Tue Feb  7 13:41:57 2012  elapsed time 03:30:19 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.647).
Factorization parameters were as follows:
name: KA_61119_177
n: 31064401419175830752987695425282115848896352314027889178842242194209797175862417798476387152142812437628845586442426388828691013942297038868166084790851755691677389593
m: 100000000000000000000000000000000000
#  c167, diff: 178.74
skew: 0.42
deg: 5
c5: 5500
c0: 71
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7660665 hash collisions in 75103497 relations (69761860 unique)
Msieve: matrix is 1161085 x 1161314 (324.9 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,178,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

1330434372078598657726536520944861033010820861929702501723687453777995949250123382452111095277189516151280425399847125003273904510935373964096915864149284403<157>

4115248284252355908516582469862600017<37>
323293828265408627280971934066580793387311192554707743925185190784010272890110303652887219231834079553170378770925640259<120>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2767430390
Step 1 took 8596ms
Step 2 took 6053ms
********** Factor found in step 2: 4115248284252355908516582469862600017
Found probable prime factor of 37 digits: 4115248284252355908516582469862600017
Probable prime cofactor 323293828265408627280971934066580793387311192554707743925185190784010272890110303652887219231834079553170378770925640259 has 120 digits

GMP-ECM 6.3

8720991959231751772006036175866634192492439865999842870035041252836047309338910141993220233363363610797205459743724365085200925313271133701741494025392941073187<160>

6986723976564451757937240712323417993316927<43>
1248223343083904580418195513642051893553281666838461217829488111800671522867495267073126750325382890800692044664612381<118>

Number: 61119_179
N = 8720991959231751772006036175866634192492439865999842870035041252836047309338910141993220233363363610797205459743724365085200925313271133701741494025392941073187 (160 digits)
SNFS difficulty: 181 digits.
Divisors found:
r1=6986723976564451757937240712323417993316927 (pp43)
r2=1248223343083904580418195513642051893553281666838461217829488111800671522867495267073126750325382890800692044664612381 (pp118)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 78.81 hours.
Factorization parameters were as follows:
n: 8720991959231751772006036175866634192492439865999842870035041252836047309338910141993220233363363610797205459743724365085200925313271133701741494025392941073187
m: 500000000000000000000000000000000000
deg: 5
c5: 176
c0: 71
skew: 0.83
# Murphy_E = 8.974e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19328118
Relations: 2367738 relations
Pruned matrix : 1429780 x 1430005
Polynomial selection time: 0.00 hours.
Total sieving time: 75.65 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.86 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,300000
total time: 78.81 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz

49457218358924303695271952699982818857066211944501023833014689967512684228665262332697483861237278940051556519854467522471671793749946498323<140>

415194272558056003979170661008158282519580662823<48>
119118257711536166847241691469493569323062749653028423978237485260566222388649339965222088501<93>

01/19/14 03:27:01 v1.34.3, nfs: commencing nfs on c140: 49457218358924303695271952699982818857066211944501023833014689967512684228665262332697483861237278940051556519854467522471671793749946498323
01/19/14 03:27:01 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/19/14 03:27:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/19/14 03:31:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
[234 lines snipped]
01/19/14 23:19:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/19/14 23:24:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/19/14 23:29:02 v1.34.3, nfs: commencing msieve filtering
01/19/14 23:33:14 v1.34.3, nfs: commencing msieve linear algebra
01/20/14 00:23:41 v1.34.3, nfs: commencing msieve sqrt
01/20/14 00:27:54 v1.34.3, prp93 = 119118257711536166847241691469493569323062749653028423978237485260566222388649339965222088501
01/20/14 00:27:54 v1.34.3, prp48 = 415194272558056003979170661008158282519580662823
01/20/14 00:27:54 v1.34.3, NFS elapsed time = 75653.1385 seconds.
01/20/14 00:27:54 v1.34.3, 
01/20/14 00:27:54 v1.34.3, 

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

7486446129575409610691189541843108590220523479536820383823287203213454913218477637985410958251492865416838514634641011296366623517513519841124001410174216407295337577467702790811<178>

268968386937796209285255055537985514655500461536626239747662232571641324962733344449049<87>
27833925818601073393361973681889386756037781086677916726445315318676185387360456995972477139<92>

Number: 61119_182
N=7486446129575409610691189541843108590220523479536820383823287203213454913218477637985410958251492865416838514634641011296366623517513519841124001410174216407295337577467702790811
  ( 178 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=268968386937796209285255055537985514655500461536626239747662232571641324962733344449049
 r2=27833925818601073393361973681889386756037781086677916726445315318676185387360456995972477139
Version: 
Total time: 310.69 hours.
Scaled time: 624.49 units (timescale=2.010).
Factorization parameters were as follows:
n: 7486446129575409610691189541843108590220523479536820383823287203213454913218477637985410958251492865416838514634641011296366623517513519841124001410174216407295337577467702790811
m: 2000000000000000000000000000000000000
deg: 5
c5: 1375
c0: 568
skew: 0.84
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1285146 x 1285394
Total sieving time: 310.69 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,184,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 310.69 hours.
 --------- CPU info (if available) ----------

311392234006387651672448081841093655775367230411377420724646687474507875782489096294534955481137814140026069631<111>

26506006175993381272829828763617837641121116742352467<53>
11747987680181600226218167193411018631966399612495045430693<59>

Number: n
N=311392234006387651672448081841093655775367230411377420724646687474507875782489096294534955481137814140026069631
  ( 111 digits)
Divisors found:
 r1=26506006175993381272829828763617837641121116742352467 (pp53)
 r2=11747987680181600226218167193411018631966399612495045430693 (pp59)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 15.22 hours.
Scaled time: 40.16 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_6_1_182_9
n: 311392234006387651672448081841093655775367230411377420724646687474507875782489096294534955481137814140026069631
Y0: -2584568069450941420360
Y1:  384958070083
c0: -4059072098339572523025137763
c1:  105158492379506668504759
c2: -2883980861159280569
c3: -33217032757935
c4:  172810416
c5:  2700
skew: 87047.99
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [1600000, 2250001)
Primes: RFBsize:230209, AFBsize:230270, largePrimes:16995536 encountered
Relations: rels:15559641, finalFF:665605
Max relations in full relation-set: 28
Initial matrix: 460562 x 665605 with sparse part having weight 65940252.
Pruned matrix : 307315 x 309681 with weight 37286889.
Total sieving time: 13.61 hours.
Total relation processing time: 0.63 hours.
Matrix solve time: 0.50 hours.
Total square root time: 0.48 hours, sqrts: 2.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,28,28,56,56,2.6,2.6,100000
total time: 15.22 hours.
 --------- CPU info (if available) ----------

2564559639568235594502072886356744266781325854724651935477695639030209731911358923308050242740760718120338527087744116050875312757935197991609453567163455817371<160>

580892423689261288256705060439151355981<39>

4414861573302433003180374060492511600401602757870127576444398757285687882136201654947206644464683926346681528849113325191<121>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:382502464
Step 1 took 39922ms
Step 2 took 21485ms
********** Factor found in step 2: 580892423689261288256705060439151355981
Found probable prime factor of 39 digits: 580892423689261288256705060439151355981
Composite cofactor 4414861573302433003180374060492511600401602757870127576444398757285687882136201654947206644464683926346681528849113325191 has 121 digits

GMP-ECM 7.0

4414861573302433003180374060492511600401602757870127576444398757285687882136201654947206644464683926346681528849113325191<121>

72694684397200787520694401618378933512431840292530125736759<59>
60731559809515226993500275973745696364791536337216026167136049<62>

02/04/14 07:30:59 v1.34.3, 
02/04/14 07:30:59 v1.34.3, ****************************
02/04/14 07:30:59 v1.34.3, Starting factorization of 4414861573302433003180374060492511600401602757870127576444398757285687882136201654947206644464683926346681528849113325191
02/04/14 07:30:59 v1.34.3, using pretesting plan: none
02/04/14 07:30:59 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/04/14 07:30:59 v1.34.3, ****************************
02/04/14 07:30:59 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C121
02/04/14 07:30:59 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C121
02/04/14 07:30:59 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C121
02/04/14 07:30:59 v1.34.3, final ECM pretested depth: 0.00
02/04/14 07:30:59 v1.34.3, scheduler: switching to sieve method
02/04/14 07:30:59 v1.34.3, nfs: commencing nfs on c121: 4414861573302433003180374060492511600401602757870127576444398757285687882136201654947206644464683926346681528849113325191
02/04/14 07:30:59 v1.34.3, nfs: commencing poly selection with 2 threads
02/04/14 07:30:59 v1.34.3, nfs: setting deadline of 8047 seconds
02/04/14 09:41:29 v1.34.3, nfs: completed 53 ranges of size 250 in 7830.3888 seconds
02/04/14 09:41:29 v1.34.3, nfs: best poly = # norm 1.633424e-11 alpha -7.419964 e 2.573e-10 rroots 5
02/04/14 09:41:29 v1.34.3, nfs: commencing lattice sieving with 2 threads
02/04/14 10:01:27 v1.34.3, nfs: commencing lattice sieving with 2 threads
[41 lines snipped]
02/05/14 01:04:05 v1.34.3, nfs: commencing lattice sieving with 2 threads
02/05/14 01:26:15 v1.34.3, nfs: commencing lattice sieving with 2 threads
02/05/14 01:49:00 v1.34.3, nfs: commencing msieve filtering
02/05/14 01:51:51 v1.34.3, nfs: commencing lattice sieving with 2 threads
02/05/14 02:13:46 v1.34.3, nfs: commencing lattice sieving with 2 threads
02/05/14 02:36:01 v1.34.3, nfs: commencing lattice sieving with 2 threads
02/05/14 02:58:45 v1.34.3, nfs: commencing msieve filtering
02/05/14 03:02:10 v1.34.3, nfs: commencing msieve linear algebra
02/05/14 03:48:31 v1.34.3, nfs: commencing msieve sqrt
02/05/14 03:51:42 v1.34.3, prp62 = 60731559809515226993500275973745696364791536337216026167136049
02/05/14 03:51:42 v1.34.3, prp59 = 72694684397200787520694401618378933512431840292530125736759
02/05/14 03:51:42 v1.34.3, NFS elapsed time = 73243.4049 seconds.
02/05/14 03:51:42 v1.34.3, 
02/05/14 03:51:42 v1.34.3, 
02/05/14 03:51:42 v1.34.3, Total factoring time = 73243.4591 seconds
--
Wed Feb  5 01:49:00 2014  
Wed Feb  5 01:49:00 2014  commencing relation filtering
Wed Feb  5 01:49:00 2014  estimated available RAM is 15988.7 MB
Wed Feb  5 01:49:00 2014  commencing duplicate removal, pass 1
Wed Feb  5 01:49:55 2014  found 1131631 hash collisions in 10073691 relations
Wed Feb  5 01:50:12 2014  added 62819 free relations
Wed Feb  5 01:50:12 2014  commencing duplicate removal, pass 2
Wed Feb  5 01:50:23 2014  found 606321 duplicates and 9530189 unique relations
Wed Feb  5 01:50:23 2014  memory use: 41.3 MB
Wed Feb  5 01:50:23 2014  reading ideals above 100000
Wed Feb  5 01:50:23 2014  commencing singleton removal, initial pass
Wed Feb  5 01:51:40 2014  memory use: 344.5 MB
Wed Feb  5 01:51:40 2014  reading all ideals from disk
Wed Feb  5 01:51:40 2014  memory use: 340.2 MB
Wed Feb  5 01:51:41 2014  keeping 10825653 ideals with weight <= 200, target excess is 49020
Wed Feb  5 01:51:42 2014  commencing in-memory singleton removal
Wed Feb  5 01:51:43 2014  begin with 9530189 relations and 10825653 unique ideals
Wed Feb  5 01:51:51 2014  reduce to 2990224 relations and 3035888 ideals in 23 passes
Wed Feb  5 01:51:51 2014  max relations containing the same ideal: 92
Wed Feb  5 02:58:45 2014  
Wed Feb  5 02:58:45 2014  commencing relation filtering
Wed Feb  5 02:58:45 2014  estimated available RAM is 15988.7 MB
Wed Feb  5 02:58:45 2014  commencing duplicate removal, pass 1
Wed Feb  5 02:59:42 2014  found 1273050 hash collisions in 10807694 relations
Wed Feb  5 02:59:59 2014  added 102 free relations
Wed Feb  5 02:59:59 2014  commencing duplicate removal, pass 2
Wed Feb  5 03:00:11 2014  found 679407 duplicates and 10128389 unique relations
Wed Feb  5 03:00:11 2014  memory use: 41.3 MB
Wed Feb  5 03:00:11 2014  reading ideals above 720000
Wed Feb  5 03:00:11 2014  commencing singleton removal, initial pass
Wed Feb  5 03:01:23 2014  memory use: 344.5 MB
Wed Feb  5 03:01:23 2014  reading all ideals from disk
Wed Feb  5 03:01:23 2014  memory use: 291.2 MB
Wed Feb  5 03:01:24 2014  commencing in-memory singleton removal
Wed Feb  5 03:01:25 2014  begin with 10128389 relations and 11017547 unique ideals
Wed Feb  5 03:01:32 2014  reduce to 3829766 relations and 3607004 ideals in 19 passes
Wed Feb  5 03:01:32 2014  max relations containing the same ideal: 73
Wed Feb  5 03:01:34 2014  removing 461832 relations and 417770 ideals in 44062 cliques
Wed Feb  5 03:01:34 2014  commencing in-memory singleton removal
Wed Feb  5 03:01:34 2014  begin with 3367934 relations and 3607004 unique ideals
Wed Feb  5 03:01:36 2014  reduce to 3318981 relations and 3139451 ideals in 9 passes
Wed Feb  5 03:01:36 2014  max relations containing the same ideal: 67
Wed Feb  5 03:01:38 2014  removing 339595 relations and 295533 ideals in 44062 cliques
Wed Feb  5 03:01:38 2014  commencing in-memory singleton removal
Wed Feb  5 03:01:38 2014  begin with 2979386 relations and 3139451 unique ideals
Wed Feb  5 03:01:40 2014  reduce to 2947884 relations and 2811978 ideals in 10 passes
Wed Feb  5 03:01:40 2014  max relations containing the same ideal: 62
Wed Feb  5 03:01:42 2014  relations with 0 large ideals: 522
Wed Feb  5 03:01:42 2014  relations with 1 large ideals: 3212
Wed Feb  5 03:01:42 2014  relations with 2 large ideals: 40218
Wed Feb  5 03:01:42 2014  relations with 3 large ideals: 215098
Wed Feb  5 03:01:42 2014  relations with 4 large ideals: 585051
Wed Feb  5 03:01:42 2014  relations with 5 large ideals: 876058
Wed Feb  5 03:01:42 2014  relations with 6 large ideals: 749243
Wed Feb  5 03:01:42 2014  relations with 7+ large ideals: 478482
Wed Feb  5 03:01:42 2014  commencing 2-way merge
Wed Feb  5 03:01:43 2014  reduce to 1661682 relation sets and 1525776 unique ideals
Wed Feb  5 03:01:43 2014  commencing full merge
Wed Feb  5 03:02:02 2014  memory use: 164.3 MB
Wed Feb  5 03:02:02 2014  found 813140 cycles, need 795976
Wed Feb  5 03:02:02 2014  weight of 795976 cycles is about 56046694 (70.41/cycle)
Wed Feb  5 03:02:02 2014  distribution of cycle lengths:
Wed Feb  5 03:02:02 2014  1 relations: 99467
Wed Feb  5 03:02:02 2014  2 relations: 91834
Wed Feb  5 03:02:02 2014  3 relations: 88913
Wed Feb  5 03:02:02 2014  4 relations: 79223
Wed Feb  5 03:02:02 2014  5 relations: 71493
Wed Feb  5 03:02:02 2014  6 relations: 60433
Wed Feb  5 03:02:02 2014  7 relations: 52772
Wed Feb  5 03:02:02 2014  8 relations: 45926
Wed Feb  5 03:02:02 2014  9 relations: 39086
Wed Feb  5 03:02:02 2014  10+ relations: 166829
Wed Feb  5 03:02:02 2014  heaviest cycle: 21 relations
Wed Feb  5 03:02:02 2014  commencing cycle optimization
Wed Feb  5 03:02:03 2014  start with 4843325 relations
Wed Feb  5 03:02:09 2014  pruned 100361 relations
Wed Feb  5 03:02:09 2014  memory use: 164.6 MB
Wed Feb  5 03:02:09 2014  distribution of cycle lengths:
Wed Feb  5 03:02:09 2014  1 relations: 99467
Wed Feb  5 03:02:09 2014  2 relations: 93850
Wed Feb  5 03:02:09 2014  3 relations: 91781
Wed Feb  5 03:02:09 2014  4 relations: 80616
Wed Feb  5 03:02:09 2014  5 relations: 72932
Wed Feb  5 03:02:09 2014  6 relations: 60923
Wed Feb  5 03:02:09 2014  7 relations: 53242
Wed Feb  5 03:02:09 2014  8 relations: 45648
Wed Feb  5 03:02:09 2014  9 relations: 38907
Wed Feb  5 03:02:09 2014  10+ relations: 158610
Wed Feb  5 03:02:09 2014  heaviest cycle: 21 relations
Wed Feb  5 03:02:10 2014  RelProcTime: 205
Wed Feb  5 03:02:10 2014  
Wed Feb  5 03:02:10 2014  commencing linear algebra
Wed Feb  5 03:02:11 2014  read 795976 cycles
Wed Feb  5 03:02:12 2014  cycles contain 2794302 unique relations
Wed Feb  5 03:02:34 2014  read 2794302 relations
Wed Feb  5 03:02:36 2014  using 20 quadratic characters above 134217594
Wed Feb  5 03:02:46 2014  building initial matrix
Wed Feb  5 03:03:09 2014  memory use: 354.7 MB
Wed Feb  5 03:03:10 2014  read 795976 cycles
Wed Feb  5 03:03:10 2014  matrix is 795793 x 795976 (242.2 MB) with weight 77007834 (96.75/col)
Wed Feb  5 03:03:10 2014  sparse part has weight 53952017 (67.78/col)
Wed Feb  5 03:03:17 2014  filtering completed in 2 passes
Wed Feb  5 03:03:17 2014  matrix is 792744 x 792925 (241.9 MB) with weight 76866595 (96.94/col)
Wed Feb  5 03:03:17 2014  sparse part has weight 53905884 (67.98/col)
Wed Feb  5 03:03:19 2014  matrix starts at (0, 0)
Wed Feb  5 03:03:19 2014  matrix is 792744 x 792925 (241.9 MB) with weight 76866595 (96.94/col)
Wed Feb  5 03:03:19 2014  sparse part has weight 53905884 (67.98/col)
Wed Feb  5 03:03:19 2014  saving the first 48 matrix rows for later
Wed Feb  5 03:03:19 2014  matrix includes 64 packed rows
Wed Feb  5 03:03:19 2014  matrix is 792696 x 792925 (233.1 MB) with weight 61255469 (77.25/col)
Wed Feb  5 03:03:19 2014  sparse part has weight 53180577 (67.07/col)
Wed Feb  5 03:03:19 2014  using block size 65536 for processor cache size 8192 kB
Wed Feb  5 03:03:22 2014  commencing Lanczos iteration (2 threads)
Wed Feb  5 03:03:22 2014  memory use: 187.2 MB
Wed Feb  5 03:03:33 2014  linear algebra at 0.4%, ETA 0h47m
Wed Feb  5 03:48:30 2014  lanczos halted after 12537 iterations (dim = 792696)
Wed Feb  5 03:48:31 2014  recovered 29 nontrivial dependencies
Wed Feb  5 03:48:31 2014  BLanczosTime: 2781
Wed Feb  5 03:48:31 2014  
Wed Feb  5 03:48:31 2014  commencing square root phase
Wed Feb  5 03:48:31 2014  reading relations for dependency 1
Wed Feb  5 03:48:31 2014  read 395977 cycles
Wed Feb  5 03:48:32 2014  cycles contain 1393352 unique relations
Wed Feb  5 03:48:48 2014  read 1393352 relations
Wed Feb  5 03:48:54 2014  multiplying 1393352 relations
Wed Feb  5 03:50:02 2014  multiply complete, coefficients have about 63.56 million bits
Wed Feb  5 03:50:03 2014  initial square root is modulo 1332573211
Wed Feb  5 03:51:42 2014  sqrtTime: 191
--
n: 4414861573302433003180374060492511600401602757870127576444398757285687882136201654947206644464683926346681528849113325191
skew: 167397.14
c0: -1029760003995685181763243915280
c1: 14841110451070893025648596
c2: 262757963058272101784
c3: -2780048564225637
c4: -12260388670
c5: 8400
Y0: -220865529608417543837967
Y1: 662059612087
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

64594748696926589688614252505586330152021962216357012251609475941990055146598681327284186459667488504530995768943012595137571520838659805701669344658033557143786342408877<170>

670026783694093549193232433960517521528127624004877<51>
468560776984712549159609062642972697657546506639724303663<57>
205749656212963586461500800037496648869402968440015553062903727<63>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 64594748696926589688614252505586330152021962216357012251609475941990055146598681327284186459667488504530995768943012595137571520838659805701669344658033557143786342408877 (170 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4460117749
Step 1 took 29508ms
Step 2 took 2638ms
********** Factor found in step 2: 670026783694093549193232433960517521528127624004877
Found probable prime factor of 51 digits: 670026783694093549193232433960517521528127624004877
Composite cofactor 96406218779483707790324478826141603834747611277441676910641832300896635355923816929011221714545777971283775591882452001 has 119 digits

Number: 61119_185
N=96406218779483707790324478826141603834747611277441676910641832300896635355923816929011221714545777971283775591882452001
  ( 119 digits)
Divisors found:
 r1=468560776984712549159609062642972697657546506639724303663
 r2=205749656212963586461500800037496648869402968440015553062903727
Version: 
Total time: 15.98 hours.
Scaled time: 83.97 units (timescale=5.254).
Factorization parameters were as follows:
name: 61119_185
n: 96406218779483707790324478826141603834747611277441676910641832300896635355923816929011221714545777971283775591882452001
skew: 53060.33
# norm 3.03e+16
c5: 110880
c4: 2314718280
c3: -1188457505923056
c2: 23599914742683220276
c1: 1235295944988533160061937
c0: 3989507861699198063551086100
# alpha -6.29
Y1: 7809335327263
Y0: -61355024752207053132433
# Murphy_E 3.25e-10
# M 1424923132183891691056627262306516666710102656764577916310110068432108921715393605281967429395089025854301414231357458
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2000000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10665469
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 633347 x 633595
Polynomial selection time: 2.27 hours.
Total sieving time: 12.76 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,54,54,2.5,2.5,100000
total time: 15.98 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GMP-ECM v6.4.4 / GGNFS / Msieve v1.39

Core i7-4930K

122410535845977492574550860977103893518942510424374118344462627051068343946846204855526249359063758643526412799677978866804404477238296898583586116991996093577193<162>

5066758554101731130830764357515274706682883370943261161017442567<64>
24159536030561703306657154545102130995753502361676685075349269854993987994979142384840837558203279<98>

polynomial = 11 X^5 + 14200 ; m = 10^38
rlim = alim = 11500000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda 2.6
skew = 12.1
qintsize = 100000

Initial matrix: 1514808 x 2008498
Pruned  matrix: 1081469 x 1089107

time: 36 days 4 hours or so

p64 = 5066758554101731130830764357515274706682883370943261161017442567
p98 = 24159536030561703306657154545102130995753502361676685075349269854993987994979142384840837558203279

GGNFS-0.77.1

Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

231743502639722615730145215907098142026604301752147769361647427662050535137692467033252420541102552375086465314843376150737146794871286754780998777635672879015212897966081<171>

23808035090930888675002054458419521<35>

9733835730442108411910371839197331283579776706732797283991862852256898234576047790599455636483601588124994915389202362114965362983239361<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=751087292
Step 1 took 75563ms
Step 2 took 22469ms
********** Factor found in step 2: 23808035090930888675002054458419521
Found probable prime factor of 35 digits: 23808035090930888675002054458419521
Composite cofactor 9733835730442108411910371839197331283579776706732797283991862852256898234576047790599455636483601588124994915389202362114965362983239361 has 136 digits

GMP-ECM 6.2.3

9733835730442108411910371839197331283579776706732797283991862852256898234576047790599455636483601588124994915389202362114965362983239361<136>

412469353686243203114875240816818584511155189445176413<54>
23598930789525840376363446887625462821674515636392812206970055230050909312744822197<83>

Number: n
N=9733835730442108411910371839197331283579776706732797283991862852256898234576047790599455636483601588124994915389202362114965362983239361
  ( 136 digits)
Divisors found:

Sun May 20 19:48:51 2012  prp54 factor: 412469353686243203114875240816818584511155189445176413
Sun May 20 19:48:51 2012  prp83 factor: 23598930789525840376363446887625462821674515636392812206970055230050909312744822197
Sun May 20 19:48:51 2012  elapsed time 03:44:12 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
name: KA_61119_188
n: 9733835730442108411910371839197331283579776706732797283991862852256898234576047790599455636483601588124994915389202362114965362983239361
skew: 81044.77
# norm 9.96e+17
c5: 201240
c4: -459225495010
c3: -4215420262677705
c2: 2771805157338476250657
c1: 36797041612419799699060667
c0: -379346509616703661712020608645
# alpha -4.97
Y1: 373045479420119
Y0: -137061184365671489120816684
# Murphy_E 3.35e-11
# M 4796097239969384891584508926017391959988389755030460526876611969942901402277711598036599276608630996103866681183250589108590723104424129
type: gnfs
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 17560000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 12780735 hash collisions in 41311652 relations (27424390 unique)
Msieve: matrix is 1588213 x 1588438 (457.8 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:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,56,56,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.43 BogoMIPS (lpj=2830715)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22644.15 BogoMIPS).

6776893454790049992526934763036063053695298302215686832606911963102156247316196171597349520004958221684013665667259706452083112314194523703293804329892766134458741225309158799001406267<184>

993660284050851601731263678247313749091506192417553<51>
6820131149010717026486746496478264588770374687405646343955301396887114337148185726634974499591911058899321867258014455695283155308939<133>

Number: n
N=6776893454790049992526934763036063053695298302215686832606911963102156247316196171597349520004958221684013665667259706452083112314194523703293804329892766134458741225309158799001406267
  ( 184 digits)
SNFS difficulty: 190 digits.
Divisors found:

Wed Mar 10 04:37:41 2010  prp51 factor: 993660284050851601731263678247313749091506192417553
Wed Mar 10 04:37:41 2010  prp133 factor: 6820131149010717026486746496478264588770374687405646343955301396887114337148185726634974499591911058899321867258014455695283155308939
Wed Mar 10 04:37:41 2010  elapsed time 04:43:17 (Msieve 1.42 - dependency 1)

Version: 
Total time: 12.28 hours.
Scaled time: 10.31 units (timescale=0.840).
Factorization parameters were as follows:
name: KA_6_1_188_9
n: 6776893454790049992526934763036063053695298302215686832606911963102156247316196171597349520004958221684013665667259706452083112314194523703293804329892766134458741225309158799001406267
m: 50000000000000000000000000000000000000
deg: 5
c5: 176
c0: 71
skew: 0.83
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 8176699)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4334686 hash collisions in 32774978 relations
Msieve: matrix is 1362897 x 1363124 (362.0 MB)

Total sieving time: 12.28 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,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,56,56,2.5,2.5,100000
total time: 12.28 hours.
 --------- CPU info (if available) ----------

232676229854315616734851166682401925520178065511126283293488375066163072387914561406850848685913822080245725051262698151889511416257102563542514044411267352353362902759328139179170465159<186>

287860258795288440499702779905657<33>
808295771108102506695396656539593972616330973723038986708273430564327994343724988972906260199977808554283757311321321457279161095184020165058222553689087<153>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=989525659
Step 1 took 91250ms
********** Factor found in step 1: 287860258795288440499702779905657
Found probable prime factor of 33 digits: 287860258795288440499702779905657
Probable prime cofactor 808295771108102506695396656539593972616330973723038986708273430564327994343724988972906260199977808554283757311321321457279161095184020165058222553689087 has 153 digits

GMP-ECM 6.2.3

2272830373564623975001412970754410244909666697743129128927368794651528528210597667801464170585595307371109348132855750401129845540584555527551920857691<151>

47337980729222664236575742513267<32>

48012828991701397062946404623023348816318254253244304031489913193832216764472383762684257944932654682095145768785687673<119>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2199937634
Step 1 took 6506ms
Step 2 took 4820ms
********** Factor found in step 2: 47337980729222664236575742513267
Found probable prime factor of 32 digits: 47337980729222664236575742513267
Composite cofactor 48012828991701397062946404623023348816318254253244304031489913193832216764472383762684257944932654682095145768785687673 has 119 digits

GMP-ECM 6.3

48012828991701397062946404623023348816318254253244304031489913193832216764472383762684257944932654682095145768785687673<119>

6390833264383463973387429010815277196492687464937<49>
7512765081711654919117745995890272792669728472161948824980764990528529<70>

N=48012828991701397062946404623023348816318254253244304031489913193832216764472383762684257944932654682095145768785687673
  ( 119 digits)
Divisors found:
 r1=6390833264383463973387429010815277196492687464937 (pp49)
 r2=7512765081711654919117745995890272792669728472161948824980764990528529 (pp70)
Version: Msieve v. 1.48
Total time: 5.78 hours.
Scaled time: 7.69 units (timescale=1.330).
Factorization parameters were as follows:
name: 119
n: 48012828991701397062946404623023348816318254253244304031489913193832216764472383762684257944932654682095145768785687673
skew: 94297.36
# norm 1.20e+16
c5: 1800
c4: -4461336090
c3: -52493311150588
c2: 35668749886664191382
c1: 144374990902288118787541
c0: -27160223553356952505615169435
# alpha -5.94
Y1: 1199339601523
Y0: -121679966124336454103226
# Murphy_E 3.38e-10
# M 23742831579983594427110602946286950453785633952010600559974657355585933599874241745170091246049146415871094000574543640
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2000000, 3800001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 747469 x 747695
Polynomial selection time: 4.59 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,53,53,2.5,2.5,100000
total time: 5.78 hours.
 --------- CPU info (if available) ----------

9701295534366816154162472049287249285464435360994373460890753976056962859141823944533757719957636804614052157779655658267238547754707628417893004785115848498534194901167382789019<178>

67926549205160007242233823448030544627<38>

142820379481751473423856065486637844311005318777007532138771052905349322580139817350859237624205738008733858868306253511121242412970462592697<141>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1709622589
Step 1 took 9064ms
Step 2 took 6131ms
********** Factor found in step 2: 67926549205160007242233823448030544627
Found probable prime factor of 38 digits: 67926549205160007242233823448030544627
Composite cofactor 142820379481751473423856065486637844311005318777007532138771052905349322580139817350859237624205738008733858868306253511121242412970462592697 has 141 digits

GMP-ECM 6.3

142820379481751473423856065486637844311005318777007532138771052905349322580139817350859237624205738008733858868306253511121242412970462592697<141>

12663696162326815872405172204725202949287412702479058820233<59>
11277937945686608166681715828876151523514716940688435908506957500851051489848108209<83>

polynomial = 11 X^5 + 142 ; m = 10^39
rlim = alim = 17000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda 2.7
skew = 6.1
qintsize = 100000

Initial matrix: 2183273 x 2621548
Pruned  matrix: 1778122 x 1789102

time: 54 days 18 hours or so

p59 = 12663696162326815872405172204725202949287412702479058820233
p83 = 11277937945686608166681715828876151523514716940688435908506957500851051489848108209

GGNFS-0.77.1

Execution Environment:
Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

220068659112341473558608212311024214916777796859672515315256275193125894668071521725620692829132234702911692221115720104009512897479196995271073514274686575098021096615309<171>

2058670314833733032158178530722747828552511462943876677521939967125728323<73>
106898446791911483978288005977482773768526105641764313494663002532883816826889621250203376819161583<99>

Number: n
N=220068659112341473558608212311024214916777796859672515315256275193125894668071521725620692829132234702911692221115720104009512897479196995271073514274686575098021096615309  ( 171 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Mar  8 23:46:25 2021  p73 factor: 2058670314833733032158178530722747828552511462943876677521939967125728323
Mon Mar  8 23:46:25 2021  p99 factor: 106898446791911483978288005977482773768526105641764313494663002532883816826889621250203376819161583
Mon Mar  8 23:46:25 2021  elapsed time 01:27:10 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 55x10^195+71 = 61(194)9
#
n: 220068659112341473558608212311024214916777796859672515315256275193125894668071521725620692829132234702911692221115720104009512897479196995271073514274686575098021096615309
m: 1000000000000000000000000000000000000000
deg: 5
c5: 55
c0: 71
skew: 1.05
# Murphy_E = 1.937e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3586353 hash collisions in 27264337 relations (25112869 unique)
Msieve: matrix is 1862971 x 1863196 (650.9 MB)

Sieving start time : 2021/03/08 16:08:01
Sieving end time  : 2021/03/08 22:18:42

Total sieving time: 6hrs 10min 41secs.

Total relation processing time: 1hrs 8min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 8sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

32780469633923226429370202548517074089659242410472955463138129420542730790644390725204276334772108417863190362998570296725678684195681815001894542385023001662861898140525166653118149901971<188>

57547309236684489528941761046601613<35>
569626452891159171398342923688370533308071766262310180490302207470807685125526248239176720252301776078743824072951071192362669399076391681375266653470367<153>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=389729675
Step 1 took 332672ms
********** Factor found in step 1: 57547309236684489528941761046601613
Found probable prime factor of 35 digits: 57547309236684489528941761046601613
Probable prime cofactor 569626452891159171398342923688370533308071766262310180490302207470807685125526248239176720252301776078743824072951071192362669399076391681375266653470367 has 153 digits

GMP-ECM 6.2.3

123932560761770334781171201114792370671648745046766765900406712380352278702927399752987753257063771771880409755536184293664480488256523337833518559238958198704615081005944475962723<180>

3613418749556058216309690726726254931240785952876532346866241887<64>
34297868404263024222513714886239699923138974381606270822088731841855139929102745156208781134571150835873774230204029<116>

Number: n
N=123932560761770334781171201114792370671648745046766765900406712380352278702927399752987753257063771771880409755536184293664480488256523337833518559238958198704615081005944475962723  ( 180 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Apr  2 00:22:30 2021  p64 factor: 3613418749556058216309690726726254931240785952876532346866241887
Fri Apr  2 00:22:30 2021  p116 factor: 34297868404263024222513714886239699923138974381606270822088731841855139929102745156208781134571150835873774230204029
Fri Apr  2 00:22:30 2021  elapsed time 01:18:04 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 55x10^198+71 = 61(197)9
#
n: 123932560761770334781171201114792370671648745046766765900406712380352278702927399752987753257063771771880409755536184293664480488256523337833518559238958198704615081005944475962723
m: 1000000000000000000000000000000000
deg: 6
c6: 55
c0: 71
skew: 1.04
# Murphy_E = 1.388e-11
type: snfs
lss: 1
rlim: 14900000
alim: 14900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14900000/14900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4368876 hash collisions in 30844986 relations (28547192 unique)
Msieve: matrix is 1711665 x 1711894 (599.9 MB)

Sieving start time : 2021/04/01 15:37:23
Sieving end time  : 2021/04/01 23:03:51

Total sieving time: 7hrs 26min 28secs.

Total relation processing time: 0hrs 56min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 25sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,14900000,14900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

17904140269405655701985286279208314689251929425566681113575918342144224797662491444219581077355521030761074164017675161224755766876061359195036510813269474011205580552117830580654853757<185>

26654641839888943310124578432810723941<38>
2324913075948686832658456022413853917195159879<46>
288917534631297801879478784128270490101115447741776890563867830663268295204809227682125722450380584063<102>

N=17904140269405655701985286279208314689251929425566681113575918342144224797662491444219581077355521030761074164017675161224755766876061359195036510813269474011205580552117830580654853757
  ( 185 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=26654641839888943310124578432810723941 (pp38)
 r2=2324913075948686832658456022413853917195159879 (pp46)
 r3=288917534631297801879478784128270490101115447741776890563867830663268295204809227682125722450380584063 (pp102)
Version: Msieve v. 1.48
Total time:
Scaled time: 94.79 units (timescale=1.647).
Factorization parameters were as follows:
n: 17904140269405655701985286279208314689251929425566681113575918342144224797662491444219581077355521030761074164017675161224755766876061359195036510813269474011205580552117830580654853757
m: 10000000000000000000000000000000000000000
deg: 5
c5: 55
c0: 71
skew: 1.05
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8050000, 19250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3380634 x 3380863
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time:

32781724821765585490335480642334929060110384438105832659124290467901428492326589277197796245983344022434398474447219141435607031372711764913191386013832426761<158>

1642748760683396110175444036043363699618174427190935798751372929<64>
19955409863239303868256184672058098566599990897808810224408211504685677170024864739146201897609<95>

Number: n
N=32781724821765585490335480642334929060110384438105832659124290467901428492326589277197796245983344022434398474447219141435607031372711764913191386013832426761  ( 158 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sat May 18 07:44:57 2024  prp64 factor: 1642748760683396110175444036043363699618174427190935798751372929
Sat May 18 07:44:57 2024  prp95 factor: 19955409863239303868256184672058098566599990897808810224408211504685677170024864739146201897609
Sat May 18 07:44:57 2024  elapsed time 02:44:31 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.910).
Factorization parameters were as follows:
#
# N = 55x10^202+71 = 61(201)9
#
n: 32781724821765585490335480642334929060110384438105832659124290467901428492326589277197796245983344022434398474447219141435607031372711764913191386013832426761
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5500
c0: 71
skew: 0.42
# Murphy_E = 8.58e-12
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4650440 hash collisions in 21692029 relations (17155409 unique)
Msieve: matrix is 2247464 x 2247689 (633.4 MB)

Sieving start time: 2024/05/17 11:15:13
Sieving end time  : 2024/05/18 04:58:58

Total sieving time: 17hrs 43min 45secs.

Total relation processing time: 2hrs 29min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 24sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

54260142513466677857110583682385916212228402315361125966718948662170902212982624876790818173945585340013475356045073071340404951575517739655209903816356267690781063605201379796347150623266227<191>

1538483614307183777646719386573<31>

35268586554235955747475441610403345347488406143285663324380184048565519635843557694050030383279827772428163249553044073162469530126538634244471616142594370633599<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3878632275
Step 1 took 12345ms
Step 2 took 6401ms
********** Factor found in step 2: 1538483614307183777646719386573
Found probable prime factor of 31 digits: 1538483614307183777646719386573
Composite cofactor has 161 digits

GMP-ECM 6.2.3

35268586554235955747475441610403345347488406143285663324380184048565519635843557694050030383279827772428163249553044073162469530126538634244471616142594370633599<161>

410254026394240490702122358906996706458231<42>
6245677827114158101230045284815226496961958400032759214623<58>
13764347383088477435388916078168710519532329475338529975629223<62>

#
# N = 55x10^203+71 = 61(202)9
#
n: 35268586554235955747475441610403345347488406143285663324380184048565519635843557694050030383279827772428163249553044073162469530126538634244471616142594370633599
m: 50000000000000000000000000000000000000000
deg: 5
c5: 88
c0: 355
skew: 1.32
# Murphy_E = 8.147e-12
type: snfs
lss: 1
rlim: 18600000
alim: 18600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 35268586554235955747475441610403345347488406143285663324380184048565519635843557694050030383279827772428163249553044073162469530126538634244471616142594370633599 (161 digits)
Using B1=35200000, B2=192388936756, polynomial Dickson(12), sigma=1:3561940632
Step 1 took 82513ms
Step 2 took 29584ms
********** Factor found in step 2: 410254026394240490702122358906996706458231
Found prime factor of 42 digits: 410254026394240490702122358906996706458231
Composite cofactor 85967679255252490059322501584025769201791181717721481813847352554693978837781961532639518030070698239376156675727727929 has 119 digits


CADO


STA:Sat 11 Sep 2021 18:30:49 AEST (85,967,679,255,252,490,059,322,501,584,025,769,201,791,181,717,721,481,813,847,352,554,693,978,837,781,961,532,639,518,030,070,698,239,376,156,675,727,727,929 - C119)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 85967679255252490059322501584025769201791181717721481813847352554693978837781961532639518030070698239376156675727727929 2>&1 | tee -a log51

Debug:root: Looking for parameter file for c119 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.lbcinveh
Info:Database: Opened connection to database /tmp/cado.lbcinveh/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 85967679255252490059322501584025769201791181717721481813847352554693978837781961532639518030070698239376156675727727929
Debug:root: Root parameter dictionary:
N = 85967679255252490059322501584025769201791181717721481813847352554693978837781961532639518030070698239376156675727727929
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 85967679255252490059322501584025769201791181717721481813847352554693978837781961532639518030070698239376156675727727929
skew: 24318.114
c0: 241269062187883479469026444
c1: -4485080896981611301944
c2: -5203031322366849977
c3: -21254376964381
c4: -1229448972
c5: 45360
Y0: -94688881806074423340560
Y1: 14193307590334819
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.91e-09
# f(x) = 45360*x^5-1229448972*x^4-21254376964381*x^3-5203031322366849977*x^2-4485080896981611301944*x+241269062187883479469026444
# g(x) = 14193307590334819*x-94688881806074423340560
...
Debug:Command: Process with PID 13380 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 13764347383088477435388916078168710519532329475338529975629223 6245677827114158101230045284815226496961958400032759214623
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 802.05/114.512
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10344/33.470/42.497/47.210/1.053
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10344/33.270/37.716/42.990/1.085
Info:Polynomial Selection (size optimized): Total time: 1149.98
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 446
Info:Polynomial Selection (root optimized): Rootsieve time: 445.13
Info:Generate Factor Base: Total cpu/real time for makefb: 23.74/2.15232
Info:Generate Free Relations: Total cpu/real time for freerel: 148.44/9.78139
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 9916800
Info:Lattice Sieving: Average J: 7763.44 for 17752 special-q, max bucket fill: 0.608648
Info:Lattice Sieving: Total CPU time: 52821.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.04/31.748
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 143.9/42.9468
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.04/30.7497
Info:Filtering - Merging: Total cpu/real time for merge: 424.26/341.927
Info:Filtering - Merging: Total cpu/real time for replay: 33.98/26.66
Info:Linear Algebra: Total cpu/real time for bwc: 17180.4/0.000336885
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 744.49
Info:Linear Algebra: Lingen CPU time 192.88, WCT time 19.27
Info:Linear Algebra: Mksol: WCT time 400.0
Info:Quadratic Characters: Total cpu/real time for characters: 33.88/8.03051
Info:Square Root: Total cpu/real time for sqrt: 802.05/114.512
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 73295.9/5469.71
Info:root: Cleaning up computation data in /tmp/cado.lbcinveh
13764347383088477435388916078168710519532329475338529975629223 6245677827114158101230045284815226496961958400032759214623

END:Sat 11 Sep 2021 20:01:59 AEST (85,967,679,255,252,490,059,322,501,584,025,769,201,791,181,717,721,481,813,847,352,554,693,978,837,781,961,532,639,518,030,070,698,239,376,156,675,727,727,929 - C119)

27565384999954869836216446590541371775837102692857743448605471344587950015318790278225952673376579686511882389243351357785213411379210457524298032322801<152>

6591670214710660471678516691035407337559<40>
4181851352095418009916670574631144741265453300523802999550952199436117684533944345405558306992240105310482562039<112>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1529023147
Step 1 took 55556ms
Step 2 took 21427ms
********** Factor found in step 2: 6591670214710660471678516691035407337559
Found probable prime factor of 40 digits: 6591670214710660471678516691035407337559

527006192801861960788822869385826982908710070896705828017757234118189283376979028028105719358662209152468640736045594659415061453713046086212463983917687381842816091127994473142327125200382127399435241<201>

26200194537354193414830555249424744078537286162689<50>
20114590830632865891174418642478448899424128172100897058014500078728469238559651699262525227509652933449801787184330996714251345648259452695413875227369<152>

Number: 61119_205
N=527006192801861960788822869385826982908710070896705828017757234118189283376979028028105719358662209152468640736045594659415061453713046086212463983917687381842816091127994473142327125200382127399435241
  ( 201 digits)
SNFS difficulty: 206 digits.
Divisors found:
 r1=26200194537354193414830555249424744078537286162689
 r2=20114590830632865891174418642478448899424128172100897058014500078728469238559651699262525227509652933449801787184330996714251345648259452695413875227369
Version: 
Total time: 1461.40 hours.
Scaled time: 2941.80 units (timescale=2.013).
Factorization parameters were as follows:
n: 527006192801861960788822869385826982908710070896705828017757234118189283376979028028105719358662209152468640736045594659415061453713046086212463983917687381842816091127994473142327125200382127399435241
m: 100000000000000000000000000000000000000000
deg: 5
c5: 55
c0: 71
skew: 1.05
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9750000, 28250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3839828 x 3840076
Total sieving time: 1461.40 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,206,5,0,0,0,0,0,0,0,0,19500000,19500000,29,29,56,56,2.6,2.6,100000
total time: 1461.40 hours.
 --------- CPU info (if available) ----------

395353111416553724098748804126631446379611621170057062771863195095806472377939794138917065500011967969891041536319623151661497167726672849375385240244211731<156>

1993338279555965845437953963716911099279892982481612949844705854752596132135546303146992085528813699522255863290649927388665056883349<133>

252032613263828621792062653477230008902241624080011<51>
7909048966886409882273352733293153742504997544496492627914793291287566693089105759<82>

Number: 61119_211
N = 1993338279555965845437953963716911099279892982481612949844705854752596132135546303146992085528813699522255863290649927388665056883349 (133 digits)
Divisors found:
r1=252032613263828621792062653477230008902241624080011 (pp51)
r2=7909048966886409882273352733293153742504997544496492627914793291287566693089105759 (pp82)
Version: Msieve v. 1.51 (SVN 845)
Total time: 147.72 hours.
Factorization parameters were as follows:
# Murphy_E = 5.785e-11, selected by Erik Branger
# expecting poly E from 6.03e-011 to > 6.93e-011
n: 1993338279555965845437953963716911099279892982481612949844705854752596132135546303146992085528813699522255863290649927388665056883349
Y0: -63730679363460185079596695
Y1: 2245378586647
c0: -116203369745858472008988901113528
c1: 1215593201266716306665678646
c2: 6158176714393598885523
c3: -6521503607994634
c4: -8216878492
c5: 1896
skew: 838172.04
type: gnfs
# selected mechanically
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21139064
Relations: 2402588 relations
Pruned matrix : 1484673 x 1484899
Polynomial selection time: 0.00 hours.
Total sieving time: 145.16 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.82 hours.
time per square root: 0.60 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11300000,11300000,28,28,54,54,2.6,2.6,100000
total time: 147.72 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

17952915412025036854000896836296505889532850885853410655643223477265967533679783772213604359547621949185667092391060851902909316310308452468025820928602914909615870746430829430931252403<185>

168641763780442636332548427817462485300245837847139763081055235698178894439119632124536321948787633903944726246770281794093537355779944111104284886653236815671636714146081345214754202844232229<192>

4064206709687453501007582188379544757<37>
41494386439170945008835381034991718278755957460702463710668352428588185691010509252097761055847202010401116452275308575985559725339427591276688699053784497<155>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1052454947
Step 1 took 84443ms
Step 2 took 30218ms
********** Factor found in step 2: 4064206709687453501007582188379544757
Found probable prime factor of 37 digits: 4064206709687453501007582188379544757

124868038462115384484178611473343498140824247304531244895273277659879645928732753424929332150663810907095860528339668915366241926250924251136847465762380278671506909926390658637723822613580168735444725407<204>

7326186558901915042662294368437735306016258191607286741863089746404979029261855161383863239<91>
17044070261955112108234170875502406314758589175011109483068861601655241576877585554205714858984194562296667524713<113>

Number: n
N=124868038462115384484178611473343498140824247304531244895273277659879645928732753424929332150663810907095860528339668915366241926250924251136847465762380278671506909926390658637723822613580168735444725407
  ( 204 digits)
SNFS difficulty: 217 digits.
Divisors found:

Tue Oct 15 20:37:55 2019  p91 factor: 7326186558901915042662294368437735306016258191607286741863089746404979029261855161383863239
Tue Oct 15 20:37:55 2019  p113 factor: 17044070261955112108234170875502406314758589175011109483068861601655241576877585554205714858984194562296667524713
Tue Oct 15 20:37:55 2019  elapsed time 06:42:03 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 55x10^215+71 = 61(214)9
#
n: 124868038462115384484178611473343498140824247304531244895273277659879645928732753424929332150663810907095860528339668915366241926250924251136847465762380278671506909926390658637723822613580168735444725407
m: 1000000000000000000000000000000000000
deg: 6
c6: 11
c0: 142
skew: 1.53
# Murphy_E = 2.584e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 54500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9311978 hash collisions in 58643791 relations (50675434 unique)
Msieve: matrix is 3875306 x 3875533 (1364.7 MB)

Sieving start time: 2019/10/14 14:54:30
Sieving end time  : 2019/10/15 13:54:57

Total sieving time: 23hrs 0min 27secs.

Total relation processing time: 6hrs 16min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 20sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

23146899042847860879225981252721096166719255509457743235457643925326273382622843505717327419531774537533606731662828700592073056431765016743820647109037<152>

697469039455380833295239587559603<33>

33186991441114192686350076212730443066124887205526690290451069007256226349359120415797416217937281544246308284368206879<119>

Run 94 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3591931377
Step 1 took 11295ms
********** Factor found in step 1: 697469039455380833295239587559603
Found probable prime factor of 33 digits: 697469039455380833295239587559603
Composite cofactor 33186991441114192686350076212730443066124887205526690290451069007256226349359120415797416217937281544246308284368206879 has 119 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

33186991441114192686350076212730443066124887205526690290451069007256226349359120415797416217937281544246308284368206879<119>

82100808128548050981381774308759133280307494783<47>
404222469883026997980417717883115352840070809726694356202504905465090913<72>

N=33186991441114192686350076212730443066124887205526690290451069007256226349359120415797416217937281544246308284368206879
  ( 119 digits)
Divisors found:
 r1=82100808128548050981381774308759133280307494783 (pp47)
 r2=404222469883026997980417717883115352840070809726694356202504905465090913 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 42.84 hours.
Scaled time: 64.82 units (timescale=1.513).
Factorization parameters were as follows:
n: 33186991441114192686350076212730443066124887205526690290451069007256226349359120415797416217937281544246308284368206879
skew: 47246.10
c0: -1768822405367747450340964365
c1: 188855237836879677551574
c2: 32299163304393300465
c3: -471815579185238
c4: -926581436
c5: 66600
Y0: -54890702048945118600416
Y1: 2479442790773
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 240000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2450000, 4130001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 663923 x 664167
Total sieving time: 41.39 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4900000,4900000,27,27,54,54,2.5,2.5,100000
total time: 42.84 hours.
 --------- CPU info (if available) ----------

94116030005073023429246964069472533787444070186392739969823396720673180472829601348281599080071851890463110887218666804945233831452844450759176412441189101383311695809<167>

4896430002405611901154233083710325873621301798159348519501940571080670937623612555732586431134914874357669071775228535559060213641048179096101503683591344531131198725656713191074945617962936283046382698142609<208>

5331085437844828367025889726109233025361156482802941108757469<61>
918467741605932229003092700369084261990446844569308649932514495606329108574864410746669015771414373524771177036610376321116926089785243788112373061<147>

Number: 61119_220
N = 4896430002405611901154233083710325873621301798159348519501940571080670937623612555732586431134914874357669071775228535559060213641048179096101503683591344531131198725656713191074945617962936283046382698142609 (208 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=5331085437844828367025889726109233025361156482802941108757469 (pp61)
r2=918467741605932229003092700369084261990446844569308649932514495606329108574864410746669015771414373524771177036610376321116926089785243788112373061 (pp147)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 46.95 hours.
Factorization parameters were as follows:
n: 4896430002405611901154233083710325873621301798159348519501940571080670937623612555732586431134914874357669071775228535559060213641048179096101503683591344531131198725656713191074945617962936283046382698142609
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 55
c0: 71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
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: 29/28
Total raw relations: 34371478
Relations: 7618070 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 23.26 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 6910326 x 6910551
Matrix solve time: 23.18 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 46.95 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

41552752741755385428857831561885428791342601243802810199558385665057376367022273800573898727253963505971213085384147650525755357355281161098215338924698232646063<161>

7874414934389182361404376390908506541429<40>
5276932075332480382955831704812751523924628855554864892529621628825086439986169761476951863552650920055444265102612464147<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2799850963
Step 1 took 12368ms
Step 2 took 5618ms
********** Factor found in step 2: 7874414934389182361404376390908506541429
Found probable prime factor of 40 digits: 7874414934389182361404376390908506541429
Probable prime cofactor 

640552082662682581786444018868628564259911824605072242878920479950954487648319791066538515720656899856938748466071383447861891129142931751701696777162471599653056960219306026176449688767797059758094900369559769179363<216>

14851242057531001405719519539<29>
43131212876424794179669373318129082643918432437109344373200579656366217258805896754410157875224934363596421221314273177748936392949841809908877368342089622565105011938617414007433258044817<188>

Run 38 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=288033731
Step 1 took 21670ms
Step 2 took 6784ms
********** Factor found in step 2: 14851242057531001405719519539
Found probable prime factor of 29 digits: 14851242057531001405719519539
Probable prime cofactor 43131212876424794179669373318129082643918432437109344373200579656366217258805896754410157875224934363596421221314273177748936392949841809908877368342089622565105011938617414007433258044817 has 188 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

22208566163871971461334101207476653552609728289378938019570528778417186421509429705328504999687730462391133551436068271487335973443203273859215083953059658605898734890207603573529547154849927907246153179<203>

15417999696876583493277123415347385206619<41>

1440431093559499661668480033319310659040268401928600014042767438757078139168703953577976802563167477588978815521304225000542497173448025401933470172042426759482241<163>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2434477684
Step 1 took 16246ms
Step 2 took 11108ms
********** Factor found in step 2: 15417999696876583493277123415347385206619
Found probable prime factor of 41 digits: 15417999696876583493277123415347385206619
Composite cofactor

1440431093559499661668480033319310659040268401928600014042767438757078139168703953577976802563167477588978815521304225000542497173448025401933470172042426759482241<163>

5238626112511682052478233005710334865056031653<46>
274963523378628507410734029009402918636526736697674270675393945107622636688014339809814213355559248714103649580372397<117>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=190839980
Step 1 took 75715ms
********** Factor found in step 1: 5238626112511682052478233005710334865056031653
Found probable prime factor of 46 digits: 5238626112511682052478233005710334865056031653

1754231223357602180640293857881235797503701175933612634488589687691446833180141663701295993977687928408142139071267825432395366923517390556840810392068858058370394233980987457887854587205646621029249<199>

4502257592663074095804363241399636204177857224779747799348656411217299207676832226768091817458427826005714865764400785769407361037234714741745181351062129000697249987037339280354693226145084534359<196>

76708186716094632797910190054992796403920206749483614433970290221937704584220707584208155335472794395560409091733228452321677873035398736128021779546250155159741312100507250318338974871792726111327288728220105076268858010357<224>

2231005257495431881856760924003284411<37>
34382790653845735030819941350969984098876920216470726871275002389329990209254427258136698096060174075804540714443986066459585464209597953089401864058318246702790133299668168479159959420687<188>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2636003764
Step 1 took 21297ms
Step 2 took 14689ms
********** Factor found in step 2: 2231005257495431881856760924003284411
Found probable prime factor of 37 digits: 2231005257495431881856760924003284411
Probable prime cofactor

277754747419773764528158735718703583753524246057115984770184076234631557023514019404131193703075092970131486946226265056788133546743666526719211945330773031839850187032719300321521814662025517409402779531309<207>

20694882936156580679635351320223950643810041357044068601145923503562786825282112152538495552648570999102582835525789805731436076927831163405037437339403859822851642208796028695396522867132469159972423057<203>

30235795199448640383600399336921116187471046299262055182420612492182912216804321725603773744959650732376554703425580617114657698049996375767705569366625031284601336252929053986494711077075869310278106566741931274201<215>

3895633488181643971509311909803<31>
7761457871017977641742278075042089483873861645617490734889852061606411226467049005157443227408240463066051469557432146375939653469943411830467827824308810160104127381147230774706825867<184>

Run 266 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1048231405
Step 1 took 21991ms
Step 2 took 6814ms
********** Factor found in step 2: 3895633488181643971509311909803
Found probable prime factor of 31 digits: 3895633488181643971509311909803
Probable prime cofactor 7761457871017977641742278075042089483873861645617490734889852061606411226467049005157443227408240463066051469557432146375939653469943411830467827824308810160104127381147230774706825867 has 184 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

2561768914510995378535839070866746895821838622126741788989199685309086576565872162869253724661002061994715210667006987059770225930219674291614415901439177<154>

33971988289668216871085772091996419825571354698809<50>
75408271446098940439209694752119753719558256862546718363243623691050495938551455537849905568476602004753<104>

Msieve v. 1.53 (SVN unknown)
Tue Jul 12 12:00:48 2022
random seeds: 0a48553a f1b6e00d
factoring 2561768914510995378535839070866746895821838622126741788989199685309086576565872162869253724661002061994715210667006987059770225930219674291614415901439177 (154 digits)
searching for 15-digit factors
commencing number field sieve (154-digit input)
R0: -588839264328710547959360363991
R1: 173015070936503229479
A0: 14588726670041778784512532747681209600
A1: 8496978527601490293097621608520
A2: 3017714251844384009544450
A3: -4915743040858838773
A4: -536664337224
A5: 108720
skew 2929655.29, size 6.391e-15, alpha -7.274, combined = 3.410e-12 rroots = 3

commencing relation filtering
estimated available RAM is 225606.0 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
read 40M relations
found 1848924 hash collisions in 45818955 relations
commencing duplicate removal, pass 2
found 0 duplicates and 45818955 unique relations
memory use: 130.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1378.0 MB
reading all ideals from disk
memory use: 1629.2 MB
keeping 45147791 ideals with weight <= 200, target excess is 249680
commencing in-memory singleton removal
begin with 45818955 relations and 45147791 unique ideals
reduce to 25630253 relations and 22461754 ideals in 16 passes
max relations containing the same ideal: 140
removing 2669021 relations and 2269021 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 22961232 relations and 22461754 unique ideals
reduce to 22756121 relations and 19983593 ideals in 9 passes
max relations containing the same ideal: 133
removing 2011615 relations and 1611615 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 20744506 relations and 19983593 unique ideals
reduce to 20610035 relations and 18235134 ideals in 10 passes
max relations containing the same ideal: 123
removing 1811209 relations and 1411209 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 18798826 relations and 18235134 unique ideals
reduce to 18679828 relations and 16702763 ideals in 7 passes
max relations containing the same ideal: 113
removing 1707082 relations and 1307082 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 16972746 relations and 16702763 unique ideals
reduce to 16858204 relations and 15278943 ideals in 8 passes
max relations containing the same ideal: 107
removing 1640845 relations and 1240845 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 15217359 relations and 15278943 unique ideals
reduce to 15102985 relations and 13921462 ideals in 7 passes
max relations containing the same ideal: 97
removing 1596182 relations and 1196182 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13506803 relations and 13921462 unique ideals
reduce to 13388999 relations and 12604880 ideals in 7 passes
max relations containing the same ideal: 89
removing 1562645 relations and 1162645 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11826354 relations and 12604880 unique ideals
reduce to 11700666 relations and 11313398 ideals in 10 passes
max relations containing the same ideal: 81
removing 497990 relations and 400351 ideals in 97639 cliques
commencing in-memory singleton removal
begin with 11202676 relations and 11313398 unique ideals
reduce to 11190149 relations and 10900426 ideals in 7 passes
max relations containing the same ideal: 79
relations with 0 large ideals: 874
relations with 1 large ideals: 2890
relations with 2 large ideals: 39932
relations with 3 large ideals: 276255
relations with 4 large ideals: 1032076
relations with 5 large ideals: 2276219
relations with 6 large ideals: 3109055
relations with 7+ large ideals: 4452848
commencing 2-way merge
reduce to 7170356 relation sets and 6880633 unique ideals
commencing full merge
memory use: 835.9 MB
found 3870620 cycles, need 3830833
weight of 3830833 cycles is about 268448511 (70.08/cycle)
distribution of cycle lengths:
1 relations: 435726
2 relations: 469476
3 relations: 475755
4 relations: 443259
5 relations: 412450
6 relations: 363253
7 relations: 315093
8 relations: 260110
9 relations: 205225
10+ relations: 450486
heaviest cycle: 17 relations
commencing cycle optimization
start with 20117992 relations
pruned 516038 relations
memory use: 668.1 MB
distribution of cycle lengths:
1 relations: 435726
2 relations: 480259
3 relations: 493627
4 relations: 455389
5 relations: 424011
6 relations: 370063
7 relations: 318832
8 relations: 258496
9 relations: 200535
10+ relations: 393895
heaviest cycle: 17 relations
RelProcTime: 899

commencing linear algebra
read 3830833 cycles
cycles contain 11031107 unique relations
read 11031107 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1503.8 MB
read 3830833 cycles
matrix is 3830654 x 3830833 (1165.7 MB) with weight 363336446 (94.85/col)
sparse part has weight 259612514 (67.77/col)
filtering completed in 2 passes
matrix is 3830025 x 3830204 (1165.7 MB) with weight 363314872 (94.86/col)
sparse part has weight 259607362 (67.78/col)
matrix starts at (0, 0)
matrix is 3830025 x 3830204 (1165.7 MB) with weight 363314872 (94.86/col)
sparse part has weight 259607362 (67.78/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 3829977 x 3830204 (1118.3 MB) with weight 289716099 (75.64/col)
sparse part has weight 254863920 (66.54/col)
using block size 8192 and superblock size 25165824 for processor cache size 262144 kB
commencing Lanczos iteration (16 threads)
memory use: 900.3 MB
linear algebra at 0.0%, ETA 3h30m3830204 dimensions (0.0%, ETA 3h30m)    
checkpointing every 1040000 dimensions04 dimensions (0.1%, ETA 3h40m)    
linear algebra completed 3829857 of 3830204 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 60579 iterations (dim = 3829975)
recovered 28 nontrivial dependencies
BLanczosTime: 13449

commencing square root phase
reading relations for dependency 1
read 1914921 cycles
cycles contain 5515932 unique relations
read 5515932 relations
multiplying 5515932 relations
multiply complete, coefficients have about 288.54 million bits
initial square root is modulo 150503
sqrtTime: 800
p50 factor: 33971988289668216871085772091996419825571354698809
p104 factor: 75408271446098940439209694752119753719558256862546718363243623691050495938551455537849905568476602004753
elapsed time 04:12:30

19199218068209585645966418822215240688379236918350961706286871225608266136070094599783572450867455579990924006004119104967361329284043704401857088002234090829755297238803365099312318916465947568680839180367926833525325514015429189793<233>

7808877447052610093508960719247378913<37>
2458639951566426006968379368931774524528103336641525483403437423584183628184395628772973676936023937222300488105916807141594261060195386843446853183485542244902074924014749227859851428468536749761<196>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4047824360
Step 1 took 84872ms
Step 2 took 27527ms
********** Factor found in step 2: 7808877447052610093508960719247378913
Found probable prime factor of 37 digits: 7808877447052610093508960719247378913
Probable prime cofactor

32353310909703635219737844768829185345819462795927340395834927344679298961261344342896450103079466415192922839704599557471797298227053687084521590911159550067734978632676138047823<179>

686022734772377202871708080367139306545396644411121417882116315089323019129521095066181086936878021861703629718133564120866403575167336615913329196256553255347104137932808821303155935678139991345601717860965152539932183331<222>

88239434263691390348829122731618998697<38>

7774559532218812628276681976662193348327501365699445384061599374800129569680322290988527709058877468417545838864678337038662747430763485481839088889793584444388096795252248142414738923<184>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=584922220
Step 1 took 20876ms
Step 2 took 15014ms
********** Factor found in step 2: 88239434263691390348829122731618998697
Found probable prime factor of 38 digits: 88239434263691390348829122731618998697
Composite cofactor 

1286697544789007970701745795394628486025169025838098228037502485816108921330167673675265617480361055522605466778061872147912946677512755605757153256576747758891280227669001156788745024026906212424422532691723823230311806427209229<229>