33195931377646982740493832508399878123394262426312120086422151990805153625863890513036540041131<95>

203232024745931553243974057948601853303<39>
163340061287813957494754122220918518503393237120498285677<57>

Number: 92227_106
N = 33195931377646982740493832508399878123394262426312120086422151990805153625863890513036540041131 (95 digits)
SNFS difficulty: 108 digits.
Divisors found:
r1=203232024745931553243974057948601853303 (pp39)
r2=163340061287813957494754122220918518503393237120498285677 (pp57)
Version: Msieve v. 1.45
Total time: 1.74 hours.
Factorization parameters were as follows:
n: 33195931377646982740493832508399878123394262426312120086422151990805153625863890513036540041131
m: 1000000000000000000000
deg: 5
c5: 830
c0: 43
skew: 0.55
type: snfs
lss: 1
rlim: 440000
alim: 440000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 440000/440000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [220000, 520000)
Relations: 1185130
Relations in full relation-set: 80462 relations
Pruned matrix : 53487 x 53712
Polynomial selection time: 0.00 hours.
Total sieving time: 1.66 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
time per square root: 0.05 hours.

GGNFS, Msieve

24818238833070036671684352008268727246364482213010795572093017733279085985026969596445185463016013163<101>

639182529375456099480918405850096227981107<42>
38828093216690208130304419006103586018885359509909798117609<59>

SNFS difficulty: 114 digits.
Divisors found:
 r1=639182529375456099480918405850096227981107 (pp42)
 r2=38828093216690208130304419006103586018885359509909798117609 (pp59)
Version: Msieve v. 1.45 SVN229
Total time: 0.78 hours.
Scaled time: 1.86 units (timescale=2.400).
Factorization parameters were as follows:
n: 24818238833070036671684352008268727246364482213010795572093017733279085985026969596445185463016013163
m: 10000000000000000000000
c5: 83000
c0: 43
skew: 0.22
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 48
mfba: 48
rlambda: 2.2
alambda: 2.2
Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 48/48
Sieved rational special-q in [362500, 662501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 81153 x 81401
Total sieving time: 0.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,580000,580000,25,25,48,48,2.2,2.2,50000
total time: 0.78 hours.

184840650125646660906227463918628649370066376827940702113273598425389535028085164433127715841<93>

8519490567534264622552187132428987<34>
21696209258101658023249562403377629172231724486489036656243<59>

Number: 92227_116
N = 184840650125646660906227463918628649370066376827940702113273598425389535028085164433127715841 (93 digits)
SNFS difficulty: 118 digits.
Divisors found:
r1=8519490567534264622552187132428987 (pp34)
r2=21696209258101658023249562403377629172231724486489036656243 (pp59)
Version: Msieve v. 1.45
Total time: 3.15 hours.
Factorization parameters were as follows:
n: 184840650125646660906227463918628649370066376827940702113273598425389535028085164433127715841
m: 100000000000000000000000
deg: 5
c5: 830
c0: 43
skew: 0.55
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [325000, 925000)
Relations: 1398677
Relations in full relation-set: 135574 relations
Pruned matrix : 89512 x 89737
Polynomial selection time: 0.00 hours.
Total sieving time: 2.98 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.11 hours.

GGNFS, Msieve

1148049990520765843765546949146367438674754156942363028089173164350367979648051574659114412147585597<100>

4282764294300109515297988219735699076169025607<46>
268062847177626542673718937558156252330886051483252571<54>

Tue Jun 01 07:52:17 2010  Msieve v. 1.42
Tue Jun 01 07:52:17 2010  random seeds: a7d503a4 8586b671
Tue Jun 01 07:52:17 2010  factoring 1148049990520765843765546949146367438674754156942363028089173164350367979648051574659114412147585597 (100 digits)
Tue Jun 01 07:52:18 2010  searching for 15-digit factors
Tue Jun 01 07:52:19 2010  commencing quadratic sieve (100-digit input)
Tue Jun 01 07:52:19 2010  using multiplier of 5
Tue Jun 01 07:52:19 2010  using 32kb Intel Core sieve core
Tue Jun 01 07:52:19 2010  sieve interval: 36 blocks of size 32768
Tue Jun 01 07:52:19 2010  processing polynomials in batches of 6
Tue Jun 01 07:52:19 2010  using a sieve bound of 2681729 (97612 primes)
Tue Jun 01 07:52:19 2010  using large prime bound of 402259350 (28 bits)
Tue Jun 01 07:52:19 2010  using double large prime bound of 3076883377187400 (43-52 bits)
Tue Jun 01 07:52:19 2010  using trial factoring cutoff of 52 bits
Tue Jun 01 07:52:19 2010  polynomial 'A' values have 13 factors
Tue Jun 01 17:05:04 2010  98055 relations (23638 full + 74417 combined from 1470697 partial), need 97708
Tue Jun 01 17:05:06 2010  begin with 1494335 relations
Tue Jun 01 17:05:07 2010  reduce to 257334 relations in 11 passes
Tue Jun 01 17:05:07 2010  attempting to read 257334 relations
Tue Jun 01 17:05:12 2010  recovered 257334 relations
Tue Jun 01 17:05:12 2010  recovered 246779 polynomials
Tue Jun 01 17:05:13 2010  attempting to build 98055 cycles
Tue Jun 01 17:05:13 2010  found 98055 cycles in 5 passes
Tue Jun 01 17:05:13 2010  distribution of cycle lengths:
Tue Jun 01 17:05:13 2010     length 1 : 23638
Tue Jun 01 17:05:13 2010     length 2 : 16997
Tue Jun 01 17:05:13 2010     length 3 : 16317
Tue Jun 01 17:05:13 2010     length 4 : 13538
Tue Jun 01 17:05:13 2010     length 5 : 10003
Tue Jun 01 17:05:13 2010     length 6 : 6860
Tue Jun 01 17:05:13 2010     length 7 : 4395
Tue Jun 01 17:05:13 2010     length 9+: 6307
Tue Jun 01 17:05:13 2010  largest cycle: 20 relations
Tue Jun 01 17:05:13 2010  matrix is 97612 x 98055 (26.6 MB) with weight 6572348 (67.03/col)
Tue Jun 01 17:05:13 2010  sparse part has weight 6572348 (67.03/col)
Tue Jun 01 17:05:15 2010  filtering completed in 3 passes
Tue Jun 01 17:05:15 2010  matrix is 93412 x 93476 (25.4 MB) with weight 6279848 (67.18/col)
Tue Jun 01 17:05:15 2010  sparse part has weight 6279848 (67.18/col)
Tue Jun 01 17:05:15 2010  saving the first 48 matrix rows for later
Tue Jun 01 17:05:15 2010  matrix is 93364 x 93476 (15.1 MB) with weight 4908147 (52.51/col)
Tue Jun 01 17:05:15 2010  sparse part has weight 3390026 (36.27/col)
Tue Jun 01 17:05:15 2010  matrix includes 64 packed rows
Tue Jun 01 17:05:15 2010  using block size 37390 for processor cache size 1024 kB
Tue Jun 01 17:05:16 2010  commencing Lanczos iteration
Tue Jun 01 17:05:16 2010  memory use: 15.7 MB
Tue Jun 01 17:06:25 2010  lanczos halted after 1479 iterations (dim = 93362)
Tue Jun 01 17:06:25 2010  recovered 16 nontrivial dependencies
Tue Jun 01 17:06:26 2010  prp46 factor: 4282764294300109515297988219735699076169025607
Tue Jun 01 17:06:26 2010  prp54 factor: 268062847177626542673718937558156252330886051483252571
Tue Jun 01 17:06:26 2010  elapsed time 09:14:09

10542629789071493473499735389709296460501396490650510553439096586374070594290699730941837298269244754801072991414543<116>

10490474712072815076955421139765158893241987681<47>
1004971660332840463427312464305769247337791486896338502612168173531503<70>

Number: nq1
N=10542629789071493473499735389709296460501396490650510553439096586374070594290699730941837298269244754801072991414543
  ( 116 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=10490474712072815076955421139765158893241987681 (pp47)
 r2=1004971660332840463427312464305769247337791486896338502612168173531503 (pp70)
Version: Msieve-1.40
Total time: 3.64 hours.
Scaled time: 6.72 units (timescale=1.845).
Factorization parameters were as follows:
n: 10542629789071493473499735389709296460501396490650510553439096586374070594290699730941837298269244754801072991414543
m: 1000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 1225001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 107807 x 108033
Total sieving time: 3.59 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,850000,850000,25,25,46,46,2.2,2.2,50000
total time: 3.64 hours.
 --------- CPU info (if available) ----------

1514048730479260268625079578766105009312311769995932134133772589880682015107652513047269331027601290772146610993453107357<121>

167795750360405318507931485051871114830381834708561550161<57>
9023164932528169737121866654272963229214421644740464825050967437<64>

Number: 92227_124
N=1514048730479260268625079578766105009312311769995932134133772589880682015107652513047269331027601290772146610993453107357
  ( 121 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=167795750360405318507931485051871114830381834708561550161 (pp57)
 r2=9023164932528169737121866654272963229214421644740464825050967437 (pp64)
Version: Msieve-1.40
Total time: 2.18 hours.
Scaled time: 6.93 units (timescale=3.174).
Factorization parameters were as follows:
name: 92227_124
n: 1514048730479260268625079578766105009312311769995932134133772589880682015107652513047269331027601290772146610993453107357
m: 1000000000000000000000000
deg: 5
c5: 830000
c0: 43
skew: 0.14
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 840001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 137590 x 137838
Total sieving time: 2.08 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 2.18 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

14264462787137771955446418403884303594574514797404855724231463539165335728483473272634489863364131709<101>

184067288012180081615148678249287221301258653<45>
77495914353852300979063294676405103851413157770842022753<56>

Number: nq2
N=14264462787137771955446418403884303594574514797404855724231463539165335728483473272634489863364131709
  ( 101 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=184067288012180081615148678249287221301258653 (pp45)
 r2=77495914353852300979063294676405103851413157770842022753 (pp56)
Version: Msieve-1.40
Total time: 3.10 hours.
Scaled time: 5.93 units (timescale=1.911).
Factorization parameters were as follows:
n: 14264462787137771955446418403884303594574514797404855724231463539165335728483473272634489863364131709
m: 10000000000000000000000000
deg: 5
c5: 830000
c0: 43
skew: 0.14
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 1130001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 171045 x 171271
Total sieving time: 2.89 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 3.10 hours.
 --------- CPU info (if available) ----------

89265027962601547881241431679692583531341063039487714805928201161269995720028622120473<86>

3054173715882997760292883573915088988123503<43>
29227226826812623542467296266187285043743991<44>

Number: 92227_131
N = 89265027962601547881241431679692583531341063039487714805928201161269995720028622120473 (86 digits)
Divisors found:
r1=3054173715882997760292883573915088988123503 (pp43)
r2=29227226826812623542467296266187285043743991 (pp44)
Version: Msieve v. 1.44
Total time: 0.50 hours.
Factorization parameters were as follows:
n: 89265027962601547881241431679692583531341063039487714805928201161269995720028622120473
Y0: -484487863694588710485
Y1: 73557596383
c0: 60698402396354566089493
c1: -11536809351166283379
c2: 200487608987717
c3: 853051884
c4: 1620
skew: 143182.95 
type: gnfs
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 24/24
Sieved algebraic special-q in [0, 0)
Total raw relations: 1271231
Relations: 60308 relations
Pruned matrix : 47129 x 47354
Polynomial selection time: 0.13 hours.
Total sieving time: 0.36 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: gnfs,85,4,56,1500,0.001,0.3,200,15,10000,500,550000,550000,24,24,40,40,1.9,1.9,10000
total time: 0.50 hours.
 --------- CPU info (if available) ----------

Core i7 860 2.80GHz,Windows7 64bit,and factmsieve.py )

584102429929602831146771233720644258791479926688478796065568544334375997305816120953307573757630901<99>

321850997620806805911726991<27>
1814822493164278362849684110991011129726393992525836457301557730574374011<73>

Number: 92227_135
N=584102429929602831146771233720644258791479926688478796065568544334375997305816120953307573757630901
  ( 99 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=321850997620806805911726991 (pp27)
 r2=1814822493164278362849684110991011129726393992525836457301557730574374011 (pp73)
Version: Msieve-1.40
Total time: 3.68 hours.
Scaled time: 11.97 units (timescale=3.254).
Factorization parameters were as follows:
name: 92227_135
n: 584102429929602831146771233720644258791479926688478796065568544334375997305816120953307573757630901
m: 1000000000000000000000000000
deg: 5
c5: 83
c0: 43
skew: 0.88
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1270001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 205061 x 205309
Total sieving time: 3.52 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 3.68 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

1409493041161843006554336733661531098841521216561571757008832128286405075061469858702231267107229771<100>

119670290368095693052617390725851668146803<42>
11778136719033283934494509639444619541588137611994098554057<59>

Number: 92227_138
N=1409493041161843006554336733661531098841521216561571757008832128286405075061469858702231267107229771
  ( 100 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=119670290368095693052617390725851668146803 (pp42)
 r2=11778136719033283934494509639444619541588137611994098554057 (pp59)
Version: Msieve-1.40
Total time: 7.79 hours.
Scaled time: 24.12 units (timescale=3.097).
Factorization parameters were as follows:
name: 92227_138
n: 1409493041161843006554336733661531098841521216561571757008832128286405075061469858702231267107229771
m: 1000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 273739 x 273987
Total sieving time: 7.56 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,75000
total time: 7.79 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

3436102919614104431569079024821052904589495587886547872789038652300662401864363533270397330386140310139721360258631567221367480337717<133>

98872008699928250017443097165823<32>
234628914082354722772470393002874791<36>
148119171948880447735188180273748664781709040209537921739048593469<66>

Number: nq3
N=3436102919614104431569079024821052904589495587886547872789038652300662401864363533270397330386140310139721360258631567221367480337717
  ( 133 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=98872008699928250017443097165823 (pp32)
 r2=234628914082354722772470393002874791 (pp36)
 r3=148119171948880447735188180273748664781709040209537921739048593469 (pp66)
Version: Msieve-1.40
Total time: 10.52 hours.
Scaled time: 19.17 units (timescale=1.823).
Factorization parameters were as follows:
n: 3436102919614104431569079024821052904589495587886547872789038652300662401864363533270397330386140310139721360258631567221367480337717
m: 10000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
type: snfs
lss: 1
rlim: 1820000
alim: 1820000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1820000/1820000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [910000, 2810001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 364899 x 365124
Total sieving time: 9.82 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1820000,1820000,26,26,49,49,2.3,2.3,100000
total time: 10.52 hours.
 --------- CPU info (if available) ----------

958791064508893184957133522821827928739002867891683880673171464750336616784651556249551904435795569<99>

17802644867140792547020703955764223774216731<44>
53856664089198368664283303726390458720030208074610803299<56>

-> makeJobFile(): Adjusted to q0=4450000, q1=4550000.
->               client 1 q0: 4450000
      LatSieveTime: 3130
Tue Jun 01 10:34:07 2010  
Tue Jun 01 10:34:07 2010  
Tue Jun 01 10:34:07 2010  Msieve v. 1.42
Tue Jun 01 10:34:07 2010  random seeds: 8e22e380 0dc640a8
Tue Jun 01 10:34:07 2010  factoring 958791064508893184957133522821827928739002867891683880673171464750336616784651556249551904435795569 (99 digits)
Tue Jun 01 10:34:09 2010  searching for 15-digit factors
Tue Jun 01 10:34:10 2010  commencing number field sieve (99-digit input)
Tue Jun 01 10:34:10 2010  R0: -9017571695988815195
Tue Jun 01 10:34:10 2010  R1:  12448940537
Tue Jun 01 10:34:10 2010  A0: -32890115166903119173368
Tue Jun 01 10:34:10 2010  A1:  36131548005926680286
Tue Jun 01 10:34:10 2010  A2:  11946066172865937
Tue Jun 01 10:34:10 2010  A3: -2362613290846
Tue Jun 01 10:34:10 2010  A4: -270505544
Tue Jun 01 10:34:10 2010  A5:  16080
Tue Jun 01 10:34:10 2010  skew 6453.28, size 1.859441e-009, alpha -4.842499, combined = 3.600089e-009
Tue Jun 01 10:34:10 2010  
Tue Jun 01 10:34:10 2010  commencing relation filtering
Tue Jun 01 10:34:10 2010  estimated available RAM is 4096.0 MB
Tue Jun 01 10:34:10 2010  commencing duplicate removal, pass 1
Tue Jun 01 10:34:58 2010  found 405086 hash collisions in 4445521 relations
Tue Jun 01 10:35:10 2010  added 835 free relations
Tue Jun 01 10:35:10 2010  commencing duplicate removal, pass 2
Tue Jun 01 10:35:22 2010  found 305760 duplicates and 4140595 unique relations
Tue Jun 01 10:35:22 2010  memory use: 16.3 MB
Tue Jun 01 10:35:22 2010  reading ideals above 100000
Tue Jun 01 10:35:22 2010  commencing singleton removal, initial pass
Tue Jun 01 10:36:16 2010  memory use: 74.6 MB
Tue Jun 01 10:36:16 2010  reading all ideals from disk
Tue Jun 01 10:36:17 2010  memory use: 128.0 MB
Tue Jun 01 10:36:18 2010  keeping 4319863 ideals with weight <= 200, target excess is 23755
Tue Jun 01 10:36:19 2010  commencing in-memory singleton removal
Tue Jun 01 10:36:20 2010  begin with 4140595 relations and 4319863 unique ideals
Tue Jun 01 10:36:24 2010  reduce to 1664967 relations and 1419316 ideals in 12 passes
Tue Jun 01 10:36:24 2010  max relations containing the same ideal: 104
Tue Jun 01 10:36:25 2010  removing 478280 relations and 369232 ideals in 109048 cliques
Tue Jun 01 10:36:26 2010  commencing in-memory singleton removal
Tue Jun 01 10:36:26 2010  begin with 1186687 relations and 1419316 unique ideals
Tue Jun 01 10:36:28 2010  reduce to 1111242 relations and 968898 ideals in 8 passes
Tue Jun 01 10:36:28 2010  max relations containing the same ideal: 76
Tue Jun 01 10:36:30 2010  removing 363822 relations and 254774 ideals in 109048 cliques
Tue Jun 01 10:36:30 2010  commencing in-memory singleton removal
Tue Jun 01 10:36:30 2010  begin with 747420 relations and 968898 unique ideals
Tue Jun 01 10:36:31 2010  reduce to 671976 relations and 631401 ideals in 9 passes
Tue Jun 01 10:36:31 2010  max relations containing the same ideal: 54
Tue Jun 01 10:36:32 2010  removing 71799 relations and 58780 ideals in 13019 cliques
Tue Jun 01 10:36:32 2010  commencing in-memory singleton removal
Tue Jun 01 10:36:32 2010  begin with 600177 relations and 631401 unique ideals
Tue Jun 01 10:36:32 2010  reduce to 595581 relations and 567934 ideals in 6 passes
Tue Jun 01 10:36:32 2010  max relations containing the same ideal: 48
Tue Jun 01 10:36:33 2010  relations with 0 large ideals: 75
Tue Jun 01 10:36:33 2010  relations with 1 large ideals: 395
Tue Jun 01 10:36:33 2010  relations with 2 large ideals: 4895
Tue Jun 01 10:36:33 2010  relations with 3 large ideals: 30513
Tue Jun 01 10:36:33 2010  relations with 4 large ideals: 94297
Tue Jun 01 10:36:33 2010  relations with 5 large ideals: 164611
Tue Jun 01 10:36:33 2010  relations with 6 large ideals: 167290
Tue Jun 01 10:36:33 2010  relations with 7+ large ideals: 133505
Tue Jun 01 10:36:33 2010  commencing 2-way merge
Tue Jun 01 10:36:34 2010  reduce to 372674 relation sets and 345027 unique ideals
Tue Jun 01 10:36:34 2010  commencing full merge
Tue Jun 01 10:36:47 2010  memory use: 37.2 MB
Tue Jun 01 10:36:47 2010  found 180539 cycles, need 177227
Tue Jun 01 10:36:47 2010  weight of 177227 cycles is about 12711427 (71.72/cycle)
Tue Jun 01 10:36:47 2010  distribution of cycle lengths:
Tue Jun 01 10:36:47 2010  1 relations: 14924
Tue Jun 01 10:36:47 2010  2 relations: 16316
Tue Jun 01 10:36:47 2010  3 relations: 17642
Tue Jun 01 10:36:47 2010  4 relations: 17368
Tue Jun 01 10:36:47 2010  5 relations: 16755
Tue Jun 01 10:36:47 2010  6 relations: 15425
Tue Jun 01 10:36:47 2010  7 relations: 13695
Tue Jun 01 10:36:47 2010  8 relations: 12153
Tue Jun 01 10:36:47 2010  9 relations: 10262
Tue Jun 01 10:36:47 2010  10+ relations: 42687
Tue Jun 01 10:36:47 2010  heaviest cycle: 22 relations
Tue Jun 01 10:36:47 2010  commencing cycle optimization
Tue Jun 01 10:36:48 2010  start with 1186019 relations
Tue Jun 01 10:36:51 2010  pruned 36860 relations
Tue Jun 01 10:36:51 2010  memory use: 29.2 MB
Tue Jun 01 10:36:51 2010  distribution of cycle lengths:
Tue Jun 01 10:36:51 2010  1 relations: 14924
Tue Jun 01 10:36:51 2010  2 relations: 16718
Tue Jun 01 10:36:51 2010  3 relations: 18227
Tue Jun 01 10:36:51 2010  4 relations: 17903
Tue Jun 01 10:36:51 2010  5 relations: 17304
Tue Jun 01 10:36:51 2010  6 relations: 15838
Tue Jun 01 10:36:51 2010  7 relations: 14143
Tue Jun 01 10:36:51 2010  8 relations: 12335
Tue Jun 01 10:36:51 2010  9 relations: 10350
Tue Jun 01 10:36:51 2010  10+ relations: 39485
Tue Jun 01 10:36:51 2010  heaviest cycle: 22 relations
Tue Jun 01 10:36:52 2010  RelProcTime: 162
Tue Jun 01 10:36:52 2010  
Tue Jun 01 10:36:52 2010  commencing linear algebra
Tue Jun 01 10:36:52 2010  read 177227 cycles
Tue Jun 01 10:36:53 2010  cycles contain 577858 unique relations
Tue Jun 01 10:37:07 2010  read 577858 relations
Tue Jun 01 10:37:08 2010  using 20 quadratic characters above 67104804
Tue Jun 01 10:37:12 2010  building initial matrix
Tue Jun 01 10:37:23 2010  memory use: 63.7 MB
Tue Jun 01 10:37:24 2010  read 177227 cycles
Tue Jun 01 10:37:26 2010  matrix is 177049 x 177227 (50.5 MB) with weight 16784841 (94.71/col)
Tue Jun 01 10:37:26 2010  sparse part has weight 12004747 (67.74/col)
Tue Jun 01 10:37:29 2010  filtering completed in 2 passes
Tue Jun 01 10:37:29 2010  matrix is 176966 x 177144 (50.5 MB) with weight 16780858 (94.73/col)
Tue Jun 01 10:37:29 2010  sparse part has weight 12003111 (67.76/col)
Tue Jun 01 10:37:31 2010  read 177144 cycles
Tue Jun 01 10:37:40 2010  matrix is 176966 x 177144 (50.5 MB) with weight 16780858 (94.73/col)
Tue Jun 01 10:37:40 2010  sparse part has weight 12003111 (67.76/col)
Tue Jun 01 10:37:40 2010  saving the first 48 matrix rows for later
Tue Jun 01 10:37:40 2010  matrix is 176918 x 177144 (48.1 MB) with weight 13229612 (74.68/col)
Tue Jun 01 10:37:40 2010  sparse part has weight 11541074 (65.15/col)
Tue Jun 01 10:37:40 2010  matrix includes 64 packed rows
Tue Jun 01 10:37:40 2010  using block size 65536 for processor cache size 6144 kB
Tue Jun 01 10:37:42 2010  commencing Lanczos iteration
Tue Jun 01 10:37:42 2010  memory use: 47.8 MB
Tue Jun 01 10:43:27 2010  lanczos halted after 2799 iterations (dim = 176918)
Tue Jun 01 10:43:28 2010  recovered 30 nontrivial dependencies
Tue Jun 01 10:43:28 2010  BLanczosTime: 396
Tue Jun 01 10:43:28 2010  
Tue Jun 01 10:43:28 2010  commencing square root phase
Tue Jun 01 10:43:28 2010  reading relations for dependency 1
Tue Jun 01 10:43:28 2010  read 88570 cycles
Tue Jun 01 10:43:28 2010  cycles contain 364898 unique relations
Tue Jun 01 10:43:42 2010  read 364898 relations
Tue Jun 01 10:43:45 2010  multiplying 288952 relations
Tue Jun 01 10:44:25 2010  multiply complete, coefficients have about 11.79 million bits
Tue Jun 01 10:44:26 2010  initial square root is modulo 5961539
Tue Jun 01 10:45:22 2010  sqrtTime: 114
Tue Jun 01 10:45:22 2010  prp44 factor: 17802644867140792547020703955764223774216731
Tue Jun 01 10:45:22 2010  prp56 factor: 53856664089198368664283303726390458720030208074610803299
Tue Jun 01 10:45:22 2010  elapsed time 00:11:15

3795153177869227251943301326017375400091449474165523548239597622313671696387745770461819844535893918609967992684042066758116140832190214906264289<145>

3673761489141529694592896683007538607254021851<46>
1033042887810352624535919644577509721951998987493148505829529683805692042293120197043957958969777139<100>

Number: nq4
N=3795153177869227251943301326017375400091449474165523548239597622313671696387745770461819844535893918609967992684042066758116140832190214906264289
  ( 145 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=3673761489141529694592896683007538607254021851 (pp46)
 r2=1033042887810352624535919644577509721951998987493148505829529683805692042293120197043957958969777139 (pp100)
Version: Msieve-1.40
Total time: 11.47 hours.
Scaled time: 22.58 units (timescale=1.969).
Factorization parameters were as follows:
n: 3795153177869227251943301326017375400091449474165523548239597622313671696387745770461819844535893918609967992684042066758116140832190214906264289
m: 100000000000000000000000000000
deg: 5
c5: 830
c0: 43
skew: 0.55
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 380614 x 380840
Total sieving time: 10.96 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 11.47 hours.
 --------- CPU info (if available) ----------

339148885793937009982215701268975690034733119987509696585037324288456306957941660126703<87>

340896693254337784106065026832631231<36>
994872911662135831170762032565401131087699529589713<51>

ue Jun 01 07:01:39 2010  Msieve v. 1.42
Tue Jun 01 07:01:39 2010  random seeds: ba290cb0 9fbcb3ed
Tue Jun 01 07:01:39 2010  factoring 339148885793937009982215701268975690034733119987509696585037324288456306957941660126703 (87 digits)
Tue Jun 01 07:01:40 2010  searching for 15-digit factors
Tue Jun 01 07:01:41 2010  commencing quadratic sieve (87-digit input)
Tue Jun 01 07:01:41 2010  using multiplier of 3
Tue Jun 01 07:01:41 2010  using 32kb Intel Core sieve core
Tue Jun 01 07:01:41 2010  sieve interval: 20 blocks of size 32768
Tue Jun 01 07:01:41 2010  processing polynomials in batches of 11
Tue Jun 01 07:01:41 2010  using a sieve bound of 1478863 (56667 primes)
Tue Jun 01 07:01:41 2010  using large prime bound of 118309040 (26 bits)
Tue Jun 01 07:01:41 2010  using double large prime bound of 339963392620800 (41-49 bits)
Tue Jun 01 07:01:41 2010  using trial factoring cutoff of 49 bits
Tue Jun 01 07:01:41 2010  polynomial 'A' values have 11 factors
Tue Jun 01 07:42:22 2010  56968 relations (16327 full + 40641 combined from 589011 partial), need 56763
Tue Jun 01 07:42:22 2010  begin with 605338 relations
Tue Jun 01 07:42:23 2010  reduce to 134740 relations in 11 passes
Tue Jun 01 07:42:23 2010  attempting to read 134740 relations
Tue Jun 01 07:42:25 2010  recovered 134740 relations
Tue Jun 01 07:42:25 2010  recovered 112480 polynomials
Tue Jun 01 07:42:25 2010  attempting to build 56968 cycles
Tue Jun 01 07:42:25 2010  found 56968 cycles in 5 passes
Tue Jun 01 07:42:25 2010  distribution of cycle lengths:
Tue Jun 01 07:42:25 2010     length 1 : 16327
Tue Jun 01 07:42:25 2010     length 2 : 11259
Tue Jun 01 07:42:25 2010     length 3 : 10029
Tue Jun 01 07:42:25 2010     length 4 : 7381
Tue Jun 01 07:42:25 2010     length 5 : 5100
Tue Jun 01 07:42:25 2010     length 6 : 3074
Tue Jun 01 07:42:25 2010     length 7 : 1811
Tue Jun 01 07:42:25 2010     length 9+: 1987
Tue Jun 01 07:42:25 2010  largest cycle: 20 relations
Tue Jun 01 07:42:25 2010  matrix is 56667 x 56968 (13.0 MB) with weight 3175345 (55.74/col)
Tue Jun 01 07:42:25 2010  sparse part has weight 3175345 (55.74/col)
Tue Jun 01 07:42:26 2010  filtering completed in 3 passes
Tue Jun 01 07:42:26 2010  matrix is 52009 x 52073 (11.9 MB) with weight 2921338 (56.10/col)
Tue Jun 01 07:42:26 2010  sparse part has weight 2921338 (56.10/col)
Tue Jun 01 07:42:26 2010  saving the first 48 matrix rows for later
Tue Jun 01 07:42:26 2010  matrix is 51961 x 52073 (7.6 MB) with weight 2287763 (43.93/col)
Tue Jun 01 07:42:26 2010  sparse part has weight 1679331 (32.25/col)
Tue Jun 01 07:42:26 2010  matrix includes 64 packed rows
Tue Jun 01 07:42:26 2010  using block size 20829 for processor cache size 1024 kB
Tue Jun 01 07:42:26 2010  commencing Lanczos iteration
Tue Jun 01 07:42:27 2010  memory use: 7.9 MB
Tue Jun 01 07:42:43 2010  lanczos halted after 823 iterations (dim = 51960)
Tue Jun 01 07:42:43 2010  recovered 17 nontrivial dependencies
Tue Jun 01 07:42:43 2010  prp36 factor: 340896693254337784106065026832631231
Tue Jun 01 07:42:43 2010  prp51 factor: 994872911662135831170762032565401131087699529589713
Tue Jun 01 07:42:43 2010  elapsed time 00:41:04

8457925144823235703922511507804678651965675224489470911596065630383132494072794656243758231623582040984686280248355605966112392011<130>

241672568921492528203629410631709739<36>
85551959010407011377619325859466990067<38>
409078372976203547656405182854620640257384968063852000347<57>

Number: 92227_149
N=8457925144823235703922511507804678651965675224489470911596065630383132494072794656243758231623582040984686280248355605966112392011
  ( 130 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=241672568921492528203629410631709739 (pp36)
 r2=85551959010407011377619325859466990067 (pp38)
 r3=409078372976203547656405182854620640257384968063852000347 (pp57)
Version: Msieve-1.40
Total time: 18.78 hours.
Scaled time: 55.75 units (timescale=2.968).
Factorization parameters were as follows:
name: 92227_149
n: 8457925144823235703922511507804678651965675224489470911596065630383132494072794656243758231623582040984686280248355605966112392011
m: 100000000000000000000000000000
deg: 5
c5: 830000
c0: 43
skew: 0.14
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, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 419222 x 419470
Total sieving time: 18.27 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 18.78 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

113705653423675943685847108513298048575808339802222624929288115197319258417936973451954309541113205134973776001448332747216993546521523301558657<144>

3271217537196361373261196597228949079927510120424052048790297671<64>
34759428907051171293559743038481129560362844222649791264578253050422262699595767<80>

Number: n
N=113705653423675943685847108513298048575808339802222624929288115197319258417936973451954309541113205134973776001448332747216993546521523301558657
  ( 144 digits)
SNFS difficulty: 152 digits.
Divisors found:

Tue Jun  1 18:04:33 2010  prp64 factor: 3271217537196361373261196597228949079927510120424052048790297671
Tue Jun  1 18:04:33 2010  prp80 factor: 34759428907051171293559743038481129560362844222649791264578253050422262699595767
Tue Jun  1 18:04:33 2010  elapsed time 00:24:24 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.879).
Factorization parameters were as follows:
name: KA_9_2_150_7
n: 113705653423675943685847108513298048575808339802222624929288115197319258417936973451954309541113205134973776001448332747216993546521523301558657
m: 1000000000000000000000000000000
deg: 5
c5: 830
c0: 43
skew: 0.55
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 3450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1170524 hash collisions in 10832463 relations
Msieve: matrix is 365493 x 365726 (102.7 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,152,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

48116043222342292750216837611955552629552151924006910577478626819433872643669673284179844145148866667637704403<110>

123856612316786708743529298324079113652154813698625663<54>
388481828481441207990678906141755703910656020439639383981<57>

Number: 92227_152
N=48116043222342292750216837611955552629552151924006910577478626819433872643669673284179844145148866667637704403
  ( 110 digits)
Divisors found:
 r1=123856612316786708743529298324079113652154813698625663 (pp54)
 r2=388481828481441207990678906141755703910656020439639383981 (pp57)
Version: Msieve-1.40
Total time: 17.63 hours.
Scaled time: 47.89 units (timescale=2.717).
Factorization parameters were as follows:
name: 92227_152
n: 48116043222342292750216837611955552629552151924006910577478626819433872643669673284179844145148866667637704403
skew: 32014.62
# norm 2.18e+15
c5: 32760
c4: 2275283106
c3: -134884222019533
c2: -1834857963554791070
c1: 48746888702694457420304
c0: 132306591837804457330464375
# alpha -6.68
Y1: 498695657669
Y0: -1079907150790338145574
# Murphy_E 1.09e-09
# M 20256086534233020999683709822048145420292001809800454449738842083671577446515668498595260918926170032269979763
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 345037 x 345285
Polynomial selection time: 1.50 hours.
Total sieving time: 15.72 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 17.63 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

1606998249251439755313138440782833762969533174659646651410014643006963642745500942331682151325507164694344868351683910334561169000230732208423356337<148>

24306363364927457579004526249054893190787981318938081217093<59>
66114302050229217695490831894022042476604236943413876540072788803026898702003539714192509<89>

Number: n
N=1606998249251439755313138440782833762969533174659646651410014643006963642745500942331682151325507164694344868351683910334561169000230732208423356337
  ( 148 digits)
SNFS difficulty: 157 digits.
Divisors found:

Wed Jun  2 02:24:22 2010  prp59 factor: 24306363364927457579004526249054893190787981318938081217093
Wed Jun  2 02:24:22 2010  prp89 factor: 66114302050229217695490831894022042476604236943413876540072788803026898702003539714192509
Wed Jun  2 02:24:22 2010  elapsed time 00:49:03 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.884).
Factorization parameters were as follows:
name: KA_9_2_155_7
n: 1606998249251439755313138440782833762969533174659646651410014643006963642745500942331682151325507164694344868351683910334561169000230732208423356337
m: 10000000000000000000000000000000
deg: 5
c5: 830
c0: 43
skew: 0.55
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 3700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 953073 hash collisions in 8216241 relations
Msieve: matrix is 572256 x 572481 (162.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

152343806713079400435714300004711645202800901456849139856772226424525179687225683638702822954599471521169979878319881283427190884275220943947555846440453<153>

200519261186010511881330308520687721893896483<45>
2060269898484913839534135154002733737324784916347<49>
368760665669497436226733354163263782896680874154664413777653<60>

Number: 92227_158
N=152343806713079400435714300004711645202800901456849139856772226424525179687225683638702822954599471521169979878319881283427190884275220943947555846440453
  ( 153 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=200519261186010511881330308520687721893896483 (pp45)
 r2=2060269898484913839534135154002733737324784916347 (pp49)
 r3=368760665669497436226733354163263782896680874154664413777653 (pp60)
Version: Msieve v. 1.42
Total time: 1.39 hours.
Scaled time: 1.43 units (timescale=1.024).
Factorization parameters were as follows:
name: 92227_158
n: 152343806713079400435714300004711645202800901456849139856772226424525179687225683638702822954599471521169979878319881283427190884275220943947555846440453
m: 10000000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 648966 x 649191
Total sieving time: 0.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.95 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 1.39 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.48 BogoMIPS (lpj=2393740)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393878)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393885)
Total of 4 processors activated (19150.78 BogoMIPS).

Total time: 27 hours.

510198070995506730639058676603378502514756637490541967578363450617244002348904646841888881389205891059559164252301568280553227003<129>

580154685183085727009410660908722284874181948833631401437<57>
879417307186785837311833082431526540482382421604653382091225608570088119<72>

Number: 92227_159
N=510198070995506730639058676603378502514756637490541967578363450617244002348904646841888881389205891059559164252301568280553227003
  ( 129 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=580154685183085727009410660908722284874181948833631401437 (pp57)
 r2=879417307186785837311833082431526540482382421604653382091225608570088119 (pp72)
Version: Msieve-1.40
Total time: 43.42 hours.
Scaled time: 87.27 units (timescale=2.010).
Factorization parameters were as follows:
name: 92227_159
n: 510198070995506730639058676603378502514756637490541967578363450617244002348904646841888881389205891059559164252301568280553227003
m: 10000000000000000000000000000000
deg: 5
c5: 830000
c0: 43
skew: 0.14
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 667772 x 668019
Total sieving time: 42.01 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.13 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 43.42 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

1879146534707663491145881284764153001408495188932889303592934415275375460229125418366238598269380480764528937956173365725039<124>

478770515330772086714594359492908415387<39>
3924942064173275612733586120048894058294623096379298352043717868076964466039991697597<85>

Number: 92227_160
N=1879146534707663491145881284764153001408495188932889303592934415275375460229125418366238598269380480764528937956173365725039
  ( 124 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=478770515330772086714594359492908415387 (pp39)
 r2=3924942064173275612733586120048894058294623096379298352043717868076964466039991697597 (pp85)
Version: Msieve-1.40
Total time: 32.89 hours.
Scaled time: 78.09 units (timescale=2.374).
Factorization parameters were as follows:
name: 92227_160
n: 1879146534707663491145881284764153001408495188932889303592934415275375460229125418366238598269380480764528937956173365725039
m: 100000000000000000000000000000000
deg: 5
c5: 83
c0: 43
skew: 0.88
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 620182 x 620430
Total sieving time: 31.69 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.88 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 32.89 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

1317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461<163>

13626983974170541532640821329011848663<38>
96680257345096769176967881473750863871861063878917322912654757681395976145047893404845225782988060797521182485685699012028147<125>

Number: sss163
N=1317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461
  ( 163 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=13626983974170541532640821329011848663 (pp38)
 r2=96680257345096769176967881473750863871861063878917322912654757681395976145047893404845225782988060797521182485685699012028147 (pp125)
Version: Msieve-1.40
Total time: 36.47 hours.
Scaled time: 70.52 units (timescale=1.934).
Factorization parameters were as follows:
n: 1317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461
m: 100000000000000000000000000000000
deg: 5
c5: 8300
c0: 43
skew: 0.35
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 1900000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 832274 x 832500
Total sieving time: 35.27 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.89 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 36.47 hours.
 --------- CPU info (if available) ----------

92222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<164>

115886965553736608898596088326669887347777251843566416894269<60>
795794607111866421735237541506691734544975299373492156617742207524053830119985368840051725726446152359183<105>

Number: 92227_163
N=92222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
  ( 164 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=115886965553736608898596088326669887347777251843566416894269 (pp60)
 r2=795794607111866421735237541506691734544975299373492156617742207524053830119985368840051725726446152359183 (pp105)
Version: Msieve-1.40
Total time: 72.24 hours.
Scaled time: 144.70 units (timescale=2.003).
Factorization parameters were as follows:
name: 92227_163
n: 92222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 100000000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
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, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 835410 x 835658
Total sieving time: 70.15 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.78 hours.
Time per square root: 0.17 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: 72.24 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

9222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<166>

21090776151748016490076372293354227890468291981487687595851740669<65>
437263292534536656981529029734572032473661600637466461520072856600951252669140967251135213875581234383<102>

Number: 92227_165
N=9222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
  ( 166 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=21090776151748016490076372293354227890468291981487687595851740669 (pp65)
 r2=437263292534536656981529029734572032473661600637466461520072856600951252669140967251135213875581234383 (pp102)
Version: Msieve v. 1.42
Total time: 3.21 hours.
Scaled time: 2.73 units (timescale=0.851).
Factorization parameters were as follows:
name: 92227_165
n: 9222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 1000000000000000000000000000000000
deg: 5
c5: 83
c0: 43
skew: 0.88
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 853762 x 853997
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.55 hours.
Time per square root: 0.57 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 3.21 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5826.45 BogoMIPS (lpj=2913229)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11652.99 BogoMIPS).

Total time: 25 hours 30 min.

14592358918507070057660517024391139653640821780492334257193525065485702379991588583476385907107738467093020727391753265063698424528196207181001066989998203307<158>

229335202208607151610633844605721322624458860993936247719<57>
63628953505505078574512286428778322488826636061539977037528207138486137278739035091196681970407221853<101>

Number: n
N=14592358918507070057660517024391139653640821780492334257193525065485702379991588583476385907107738467093020727391753265063698424528196207181001066989998203307
  ( 158 digits)
SNFS difficulty: 168 digits.
Divisors found:

Wed Jun  2 21:39:46 2010  prp57 factor: 229335202208607151610633844605721322624458860993936247719
Wed Jun  2 21:39:46 2010  prp101 factor: 63628953505505078574512286428778322488826636061539977037528207138486137278739035091196681970407221853
Wed Jun  2 21:39:46 2010  elapsed time 02:01:02 (Msieve 1.42 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.881).
Factorization parameters were as follows:
name: KA_9_2_166_7
n: 14592358918507070057660517024391139653640821780492334257193525065485702379991588583476385907107738467093020727391753265063698424528196207181001066989998203307
m: 1000000000000000000000000000000000
deg: 5
c5: 8300
c0: 43
skew: 0.35
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1317226 hash collisions in 11515090 relations
Msieve: matrix is 866323 x 866550 (245.5 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,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

70776198858044201113398509616229086585223465676382434472639428243817066536519843600443985266019330623658046085696608963708975346516217634719416938632208026569<158>

4649449376716056992963665685955911914130462164384230601<55>
15222490476503261180442960480611947516016821908225597280149797608267264432918019700466006017264590055169<104>

Number: 92227_170
N=70776198858044201113398509616229086585223465676382434472639428243817066536519843600443985266019330623658046085696608963708975346516217634719416938632208026569
  ( 158 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=4649449376716056992963665685955911914130462164384230601 (pp55)
 r2=15222490476503261180442960480611947516016821908225597280149797608267264432918019700466006017264590055169 (pp104)
Version: Msieve-1.40
Total time: 80.32 hours.
Scaled time: 257.43 units (timescale=3.205).
Factorization parameters were as follows:
name: 92227_170
n: 70776198858044201113398509616229086585223465676382434472639428243817066536519843600443985266019330623658046085696608963708975346516217634719416938632208026569
m: 10000000000000000000000000000000000
deg: 5
c5: 83
c0: 43
skew: 0.88
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 990695 x 990943
Total sieving time: 77.79 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.30 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 80.32 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

4472856276049830378354956392183241560488596648590117100769981981450338663696023719230216382396486633717678835660788157174903538839479579306655983035400898412230541<163>

940402077049144761930832727476190249563<39>
4756323263433287806219345544302021014232466468941604078533217543521648076964972872354571383153785529035266650520002076017207<124>

Using B1=5000000, B2=23417929090, polynomial Dickson(12), sigma=2591479875
Step 1 took 19697ms
Step 2 took 15309ms
********** Factor found in step 2: 940402077049144761930832727476190249563
Found probable prime factor of 39 digits: 940402077049144761930832727476190249563
Probable prime cofactor has 124 digits

190123742544278887954776910557532042935016647627116730047094988642123070963669311788310099989655855743746416208068816885932121853<129>

4804997392019604164541754090354229758571659050963456389<55>
39567917947270176578852137131157283714231591012456190919313151915935569177<74>

Number: 92227_173
N=190123742544278887954776910557532042935016647627116730047094988642123070963669311788310099989655855743746416208068816885932121853
  ( 129 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=4804997392019604164541754090354229758571659050963456389 (pp55)
 r2=39567917947270176578852137131157283714231591012456190919313151915935569177 (pp74)
Version: Msieve-1.40
Total time: 160.64 hours.
Scaled time: 533.64 units (timescale=3.322).
Factorization parameters were as follows:
name: 92227_173
n: 190123742544278887954776910557532042935016647627116730047094988642123070963669311788310099989655855743746416208068816885932121853
m: 10000000000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 10100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1272565 x 1272813
Total sieving time: 157.27 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.13 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 160.64 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

2562908441899859695985016718626757487283737451369794757858160110265919544574963958865805071693234946270694791029785288386320556109<130>

5015585344343342106762537674971094093<37>

510988900785099608556713111980976203775719351780656817936497658026605936450100210117481485313<93>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3135465038
Step 1 took 11568ms
Step 2 took 5210ms
********** Factor found in step 2: 5015585344343342106762537674971094093
Found probable prime factor of 37 digits: 5015585344343342106762537674971094093
Composite cofactor 510988900785099608556713111980976203775719351780656817936497658026605936450100210117481485313 has 93 digits

GMP-ECM 6.2.3

510988900785099608556713111980976203775719351780656817936497658026605936450100210117481485313<93>

567755285589413931607698563817779217555617167<45>
900016105098198385842478535241921322415526147439<48>

Number: 92227_174
N = 510988900785099608556713111980976203775719351780656817936497658026605936450100210117481485313 (93 digits)
Divisors found:
r1=567755285589413931607698563817779217555617167 (pp45)
r2=900016105098198385842478535241921322415526147439 (pp48)
Version: Msieve v. 1.45
Total time: 3.41 hours.
Factorization parameters were as follows:
n: 510988900785099608556713111980976203775719351780656817936497658026605936450100210117481485313
Y0: -54020439854364726956799
Y1: 872284554449
c0: -1973495506597381247748265856
c1: -3200203101034333776010
c2: 615983393105009
c3: 237444310
c4: 60
skew: 3335588.78
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [600000, 1140000)
Relations: 2199071
Relations in full relation-set: 205112 relations
Pruned matrix : 128887 x 129113
Polynomial selection time: 0.18 hours.
Total sieving time: 3.10 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,92,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 3.41 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

11576564559219967031794177867204251421257488872608046973060117375651267074919639113348346947849232561568628563410082812931830021414365244551946111955603527<155>

479897927564661037516782120695355132786815105764663776306883<60>
24122972603710922663339317338360970479715894144254855616221039408714962378967129053787531444269<95>

Number: n
N=11576564559219967031794177867204251421257488872608046973060117375651267074919639113348346947849232561568628563410082812931830021414365244551946111955603527
  ( 155 digits)
SNFS difficulty: 177 digits.
Divisors found:

Mon Jan 16 10:38:54 2012  prp60 factor: 479897927564661037516782120695355132786815105764663776306883
Mon Jan 16 10:38:54 2012  prp95 factor: 24122972603710922663339317338360970479715894144254855616221039408714962378967129053787531444269
Mon Jan 16 10:38:54 2012  elapsed time 02:41:17 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.651).
Factorization parameters were as follows:
name: KA_92227_176
n: 11576564559219967031794177867204251421257488872608046973060117375651267074919639113348346947849232561568628563410082812931830021414365244551946111955603527
m: 100000000000000000000000000000000000
deg: 5
c5: 830
c0: 43
skew: 0.55
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, 21300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9334442 hash collisions in 75000097 relations
Msieve: matrix is 1231284 x 1231521 (343.3 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,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

31178107804215218365816363128314986554506819376711312322203332295954633636828183000133154608385539458744499626981069106115782450072773279007<140>

1029464952032764967121366533034091<34>

30285739929903808024701755256595407626151427445206794100939809804863198216460604960610229756680352276194077<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1465677163
Step 1 took 20373ms
********** Factor found in step 1: 1029464952032764967121366533034091
Found probable prime factor of 34 digits: 1029464952032764967121366533034091
Composite cofactor 30285739929903808024701755256595407626151427445206794100939809804863198216460604960610229756680352276194077 has 107 digits

GMP-ECM 6.3

30285739929903808024701755256595407626151427445206794100939809804863198216460604960610229756680352276194077<107>

74316987939106553364891932722064274113<38>
407521089992495010304249984027311737416245106222996978672981034529629<69>

n: 30285739929903808024701755256595407626151427445206794100939809804863198216460604960610229756680352276194077
skew: 2288.169
# lognorm: 31.61, alpha: -4.31 E=27.29
# Murphy's E(Bf=10000000,Bg=5000000,area=1.00e+16)=1.37e-09
c5: 445800
c4: 1767342808
c3: -10457548608240
c2: -22478516053110355
c1: 23735839375686914540
c0: -12531943470742758328448
Y1: 28825836421
Y0: -146696434135484308455
m: 12102472546366799526875230431432134677313301332479264087169634037548873107098615135671495723793085680568926
type: gnfs
rlim: 2000000
alim: 4000000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.2
alambda: 2.2
.........
Info:--------------------------------------------------------------------------
Info:Duplicate and singleton removal
Info:--------------------------------------------------------------------------
Info:Removing duplicates...
    Info:Number of relations left: 5510819.
Info:Removing singletons...
    Info:Not enough relations! Continuing sieving...
Info:Starting job: 5450000  5500000 
    Info:Imported   192787 relations from `c107.rels.5450000-5500000.gz'.
Info:Running total: 6001279 relations.
Info:Number of primes in alg factor base = 283230
Info:Number of primes in rat factor base = 148933
Info:Approx. number of large primes: 7500000
Info:--------------------------------------------------------------------------
Info:Duplicate and singleton removal
Info:--------------------------------------------------------------------------
Info:Removing duplicates...
    Info:Number of relations left: 5684470.
Info:Removing singletons...
    Info:Nrows: 1235158; Ncols: 1234998; Excess: 160.
Info:All done!
Info:Duplicates has already been done
Info:Purge has already been done
Info:--------------------------------------------------------------------------
Info:Merge
Info:--------------------------------------------------------------------------
Info:Merging relations...
    Info:Minimal bwcost: 9225133892664.
Info:Replaying merge history...
    Info:Nrows: 375072; Ncols: 374912; Weight: 38012491.
Info:--------------------------------------------------------------------------
Info:Linear algebra
Info:--------------------------------------------------------------------------
Info:Calling Block-Wiedemann...
Info:Adding characters...
    Info:25 vectors remaining after characters.
Info:--------------------------------------------------------------------------
Info:Square root
Info:--------------------------------------------------------------------------
Info:Preparing 25 dependency files
Info:Testing dependency number 0...
Info:Testing dependency number 1...
    Info:Factorization was successful!
    Info:407521089992495010304249984027311737416245106222996978672981034529629 [prime]
    Info:74316987939106553364891932722064274113 [prime]
    Info:Doing gcds with previously known composite factors
    Info:non-trivial factor: 407521089992495010304249984027311737416245106222996978672981034529629 [prime]
    Info:non-trivial factor: 74316987939106553364891932722064274113 [prime]
    Info:Now: 2 prime factors, 0 composite factors
    Info:Factorization complete
Info:--------------------------------------------------------------------------
Info:All done!
Info:--------------------------------------------------------------------------
74316987939106553364891932722064274113 407521089992495010304249984027311737416245106222996978672981034529629
OK

real 659m59.505s
user    993m38.220s
sys     18m34.919s

CADO-NFS 1.0

16741004938065407441206547252774606359861332986592561317733721378948468143536488508058648728680469233909418824927584940400970368487099420497<140>

3135584409832136273334779152345302933139099<43>
5339038198292878452594410043332692039724275827114160217510522414416347620662528875183842262876803<97>

N=16741004938065407441206547252774606359861332986592561317733721378948468143536488508058648728680469233909418824927584940400970368487099420497
  ( 140 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=3135584409832136273334779152345302933139099 (pp43)
 r2=5339038198292878452594410043332692039724275827114160217510522414416347620662528875183842262876803 (pp97)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 175.27 hours.
Scaled time: 336.86 units (timescale=1.922).
Factorization parameters were as follows:
n: 16741004938065407441206547252774606359861332986592561317733721378948468143536488508058648728680469233909418824927584940400970368487099420497
m: 100000000000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
# Murphy_E = 6.175e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 13100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1614958 x 1615185
Total sieving time: 172.16 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.54 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 175.27 hours.
 --------- CPU info (if available) ----------

25568285173003796951958516781928804278196373733287852590888245615478066400590152987988358482514265639881300314265029939075705258789398378557930849248127608292392501764596741473<176>

1757856624746923733514355380724249<34>

14545148229415370415285855900688151594639572520122493203665396879169993379522073813041927189911647918367192419087409460896595626717421726000777<143>

Using B1=500000, B2=348010752, polynomial Dickson(3), sigma=20765407
Step 1 took 2089ms
Step 2 took 1220ms
********** Factor found in step 2: 1757856624746923733514355380724249
Found probable prime factor of 34 digits: 1757856624746923733514355380724249
Composite cofactor has 143 digits

14545148229415370415285855900688151594639572520122493203665396879169993379522073813041927189911647918367192419087409460896595626717421726000777<143>

177643351022786862955967135398775659<36>

81878371161494353889840056070827676575203479587333533658931433211151914436643401147001089032651553330538203<107>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2014655769
Step 1 took 74241ms
Step 2 took 36021ms
********** Factor found in step 2: 177643351022786862955967135398775659
Found probable prime factor of 36 digits: 177643351022786862955967135398775659
Composite cofactor 81878371161494353889840056070827676575203479587333533658931433211151914436643401147001089032651553330538203 has 107 digits

GMP-ECM 6.3

81878371161494353889840056070827676575203479587333533658931433211151914436643401147001089032651553330538203<107>

19547918335974632055500523269210561<35>
4188597975202867657959384214477812795462525768598755485114521744165607323<73>

N=81878371161494353889840056070827676575203479587333533658931433211151914436643401147001089032651553330538203
  ( 107 digits)
Divisors found:
 r1=19547918335974632055500523269210561 (pp35)
 r2=4188597975202867657959384214477812795462525768598755485114521744165607323 (pp73)
Version: Msieve v. 1.47
Total time: 1.22 hours.
Scaled time: 2.02 units (timescale=1.655).
Factorization parameters were as follows:
name: 107
n: 81878371161494353889840056070827676575203479587333533658931433211151914436643401147001089032651553330538203
skew: 25617.37
# norm 6.96e+14
c5: 31800
c4: 343543450
c3: -51272168011468
c2: 107231228722755025
c1: 16390761156480762764994
c0: -58230017759044632964072536
# alpha -5.97
Y1: 81655719167
Y0: -303492639286349500445
# Murphy_E 1.35e-09
# M 49838701000723291002366671054811731198437407250124205844354359847634584545144345151904817356440782341605259
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 338768 x 338993
Polynomial selection time: 0.95 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 1.22 hours.

13277802753084796039560728263081844340815865183610262874279649185612119121662783231708046562208999005636070047798379794100079278928707238840033061684062593541370519573893098929<176>

186473333038098703333879690898976558739<39>
71204834153803558534543178612817240310669624195950861995787672763179892554376973284437841803131582627622187084860865381198175115181095211<137>

Number: n
N=13277802753084796039560728263081844340815865183610262874279649185612119121662783231708046562208999005636070047798379794100079278928707238840033061684062593541370519573893098929
  ( 176 digits)
SNFS difficulty: 184 digits.
Divisors found:

Fri Jan 20 11:29:57 2012  prp39 factor: 186473333038098703333879690898976558739
Fri Jan 20 11:29:57 2012  prp137 factor: 71204834153803558534543178612817240310669624195950861995787672763179892554376973284437841803131582627622187084860865381198175115181095211
Fri Jan 20 11:29:57 2012  elapsed time 03:21:02 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.653).
Factorization parameters were as follows:
name: KA_92227_183
n: 13277802753084796039560728263081844340815865183610262874279649185612119121662783231708046562208999005636070047798379794100079278928707238840033061684062593541370519573893098929
m: 1000000000000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
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 7613708 hash collisions in 75389139 relations
Msieve: matrix is 1318675 x 1318906 (368.0 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,184,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

45598954117891808773872740372331008125618488590662540577810758769490408234377774384174876543206751079376904457996901723476130750487810097315614129660250496068339163<164>

102124064792542736849644022547005829034259<42>
8489372276233959208873488023963917199904214056355609123253<58>
52595817575987203038540020990952242500419628932499082326103568469<65>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4202440928
Step 1 took 98762ms
Step 2 took 33309ms
********** Factor found in step 2: 102124064792542736849644022547005829034259
Found probable prime factor of 42 digits: 102124064792542736849644022547005829034259
Composite cofactor 446505475575444560676296876321295758570390225759229491858019937984590803891902092953318517265184811636640958082935745509657 has 123 digits

Fri Jan 25 17:29:51 2013  commencing relation filtering
Fri Jan 25 17:29:51 2013  estimated available RAM is 48157.8 MB
Fri Jan 25 17:29:51 2013  commencing duplicate removal, pass 1
Fri Jan 25 17:31:56 2013  found 1020322 hash collisions in 10228329 relations
Fri Jan 25 17:32:15 2013  added 63011 free relations
Fri Jan 25 17:32:15 2013  commencing duplicate removal, pass 2
Fri Jan 25 17:32:19 2013  found 773304 duplicates and 9518036 unique relations
Fri Jan 25 17:32:19 2013  memory use: 49.3 MB
Fri Jan 25 17:32:19 2013  reading ideals above 100000
Fri Jan 25 17:32:19 2013  commencing singleton removal, initial pass
Fri Jan 25 17:34:35 2013  memory use: 344.5 MB
Fri Jan 25 17:34:35 2013  reading all ideals from disk
Fri Jan 25 17:34:35 2013  memory use: 342.1 MB
Fri Jan 25 17:34:36 2013  keeping 10852937 ideals with weight <= 200, target excess is 49850
Fri Jan 25 17:34:36 2013  commencing in-memory singleton removal
Fri Jan 25 17:34:37 2013  begin with 9518036 relations and 10852937 unique ideals
Fri Jan 25 17:34:45 2013  reduce to 2931387 relations and 3014394 ideals in 27 passes
Fri Jan 25 17:34:45 2013  max relations containing the same ideal: 89
Fri Jan 25 17:52:06 2013  
Fri Jan 25 17:52:06 2013  commencing relation filtering
Fri Jan 25 17:52:06 2013  estimated available RAM is 48157.8 MB
Fri Jan 25 17:52:06 2013  commencing duplicate removal, pass 1
Fri Jan 25 17:54:17 2013  found 1151795 hash collisions in 11024522 relations
Fri Jan 25 17:54:36 2013  added 97 free relations
Fri Jan 25 17:54:36 2013  commencing duplicate removal, pass 2
Fri Jan 25 17:54:41 2013  found 871004 duplicates and 10153615 unique relations
Fri Jan 25 17:54:41 2013  memory use: 49.3 MB
Fri Jan 25 17:54:41 2013  reading ideals above 720000
Fri Jan 25 17:54:41 2013  commencing singleton removal, initial pass
Fri Jan 25 17:56:59 2013  memory use: 344.5 MB
Fri Jan 25 17:56:59 2013  reading all ideals from disk
Fri Jan 25 17:57:00 2013  memory use: 293.2 MB
Fri Jan 25 17:57:00 2013  commencing in-memory singleton removal
Fri Jan 25 17:57:01 2013  begin with 10153615 relations and 11064555 unique ideals
Fri Jan 25 17:57:08 2013  reduce to 3836817 relations and 3644015 ideals in 20 passes
Fri Jan 25 17:57:08 2013  max relations containing the same ideal: 71
Fri Jan 25 17:57:09 2013  removing 366211 relations and 337172 ideals in 29039 cliques
Fri Jan 25 17:57:09 2013  commencing in-memory singleton removal
Fri Jan 25 17:57:10 2013  begin with 3470606 relations and 3644015 unique ideals
Fri Jan 25 17:57:12 2013  reduce to 3442452 relations and 3278385 ideals in 10 passes
Fri Jan 25 17:57:12 2013  max relations containing the same ideal: 66
Fri Jan 25 17:57:13 2013  removing 264006 relations and 234967 ideals in 29039 cliques
Fri Jan 25 17:57:13 2013  commencing in-memory singleton removal
Fri Jan 25 17:57:13 2013  begin with 3178446 relations and 3278385 unique ideals
Fri Jan 25 17:57:15 2013  reduce to 3162584 relations and 3027395 ideals in 9 passes
Fri Jan 25 17:57:15 2013  max relations containing the same ideal: 65
Fri Jan 25 17:57:17 2013  relations with 0 large ideals: 497
Fri Jan 25 17:57:17 2013  relations with 1 large ideals: 2962
Fri Jan 25 17:57:17 2013  relations with 2 large ideals: 38534
Fri Jan 25 17:57:17 2013  relations with 3 large ideals: 209894
Fri Jan 25 17:57:17 2013  relations with 4 large ideals: 592906
Fri Jan 25 17:57:17 2013  relations with 5 large ideals: 927520
Fri Jan 25 17:57:17 2013  relations with 6 large ideals: 828724
Fri Jan 25 17:57:17 2013  relations with 7+ large ideals: 561547
Fri Jan 25 17:57:17 2013  commencing 2-way merge
Fri Jan 25 17:57:19 2013  reduce to 1794165 relation sets and 1658977 unique ideals
Fri Jan 25 17:57:19 2013  ignored 1 oversize relation sets
Fri Jan 25 17:57:19 2013  commencing full merge
Fri Jan 25 17:57:43 2013  memory use: 179.8 MB
Fri Jan 25 17:57:43 2013  found 881409 cycles, need 865177
Fri Jan 25 17:57:43 2013  weight of 865177 cycles is about 60746327 (70.21/cycle)
Fri Jan 25 17:57:43 2013  distribution of cycle lengths:
Fri Jan 25 17:57:43 2013  1 relations: 109779
Fri Jan 25 17:57:43 2013  2 relations: 104006
Fri Jan 25 17:57:43 2013  3 relations: 101222
Fri Jan 25 17:57:43 2013  4 relations: 88847
Fri Jan 25 17:57:43 2013  5 relations: 78862
Fri Jan 25 17:57:43 2013  6 relations: 65341
Fri Jan 25 17:57:43 2013  7 relations: 57381
Fri Jan 25 17:57:43 2013  8 relations: 47479
Fri Jan 25 17:57:43 2013  9 relations: 39792
Fri Jan 25 17:57:43 2013  10+ relations: 172468
Fri Jan 25 17:57:43 2013  heaviest cycle: 22 relations
Fri Jan 25 17:57:43 2013  commencing cycle optimization
Fri Jan 25 17:57:45 2013  start with 5173522 relations
Fri Jan 25 17:57:51 2013  pruned 104808 relations
Fri Jan 25 17:57:51 2013  memory use: 176.9 MB
Fri Jan 25 17:57:51 2013  distribution of cycle lengths:
Fri Jan 25 17:57:51 2013  1 relations: 109779
Fri Jan 25 17:57:51 2013  2 relations: 106151
Fri Jan 25 17:57:51 2013  3 relations: 104628
Fri Jan 25 17:57:51 2013  4 relations: 90456
Fri Jan 25 17:57:51 2013  5 relations: 80029
Fri Jan 25 17:57:51 2013  6 relations: 65890
Fri Jan 25 17:57:51 2013  7 relations: 57350
Fri Jan 25 17:57:51 2013  8 relations: 47107
Fri Jan 25 17:57:51 2013  9 relations: 39447
Fri Jan 25 17:57:51 2013  10+ relations: 164340
Fri Jan 25 17:57:51 2013  heaviest cycle: 22 relations
Fri Jan 25 17:57:53 2013  RelProcTime: 347
Fri Jan 25 17:57:53 2013  
Fri Jan 25 17:57:53 2013  commencing linear algebra
Fri Jan 25 17:57:53 2013  read 865177 cycles
Fri Jan 25 17:57:54 2013  cycles contain 3012909 unique relations
Fri Jan 25 17:58:31 2013  read 3012909 relations
Fri Jan 25 17:58:35 2013  using 20 quadratic characters above 134217542
Fri Jan 25 17:58:51 2013  building initial matrix
Fri Jan 25 17:59:27 2013  memory use: 383.4 MB
Fri Jan 25 17:59:28 2013  read 865177 cycles
Fri Jan 25 17:59:28 2013  matrix is 864989 x 865177 (260.0 MB) with weight 82573250 (95.44/col)
Fri Jan 25 17:59:28 2013  sparse part has weight 58633588 (67.77/col)
Fri Jan 25 17:59:38 2013  filtering completed in 2 passes
Fri Jan 25 17:59:38 2013  matrix is 861434 x 861622 (259.6 MB) with weight 82408468 (95.64/col)
Fri Jan 25 17:59:38 2013  sparse part has weight 58575998 (67.98/col)
Fri Jan 25 17:59:40 2013  matrix starts at (0, 0)
Fri Jan 25 17:59:41 2013  matrix is 861434 x 861622 (259.6 MB) with weight 82408468 (95.64/col)
Fri Jan 25 17:59:41 2013  sparse part has weight 58575998 (67.98/col)
Fri Jan 25 17:59:41 2013  saving the first 48 matrix rows for later
Fri Jan 25 17:59:41 2013  matrix includes 64 packed rows
Fri Jan 25 17:59:41 2013  matrix is 861386 x 861622 (251.7 MB) with weight 65750942 (76.31/col)
Fri Jan 25 17:59:41 2013  sparse part has weight 57356239 (66.57/col)
Fri Jan 25 17:59:41 2013  using block size 262144 for processor cache size 12288 kB
Fri Jan 25 17:59:43 2013  commencing Lanczos iteration (16 threads)
Fri Jan 25 17:59:43 2013  memory use: 368.6 MB
Fri Jan 25 17:59:53 2013  linear algebra at 0.4%, ETA 0h42m
Fri Jan 25 18:44:57 2013  lanczos halted after 13624 iterations (dim = 861384)
Fri Jan 25 18:44:58 2013  recovered 29 nontrivial dependencies
Fri Jan 25 18:44:58 2013  BLanczosTime: 2825
Fri Jan 25 18:44:58 2013  
Fri Jan 25 18:44:58 2013  commencing square root phase
Fri Jan 25 18:44:58 2013  reading relations for dependency 1
Fri Jan 25 18:44:59 2013  read 430409 cycles
Fri Jan 25 18:44:59 2013  cycles contain 1503776 unique relations
Fri Jan 25 18:45:19 2013  read 1503776 relations
Fri Jan 25 18:45:25 2013  multiplying 1503776 relations
Fri Jan 25 18:47:09 2013  multiply complete, coefficients have about 65.05 million bits
Fri Jan 25 18:47:10 2013  initial square root is modulo 2185021879
Fri Jan 25 18:49:27 2013  GCD is N, no factor found
Fri Jan 25 18:49:27 2013  reading relations for dependency 2
Fri Jan 25 18:49:27 2013  read 430406 cycles
Fri Jan 25 18:49:27 2013  cycles contain 1503470 unique relations
Fri Jan 25 18:49:47 2013  read 1503470 relations
Fri Jan 25 18:49:53 2013  multiplying 1503470 relations
Fri Jan 25 18:51:36 2013  multiply complete, coefficients have about 65.05 million bits
Fri Jan 25 18:51:37 2013  initial square root is modulo 2179142689
Fri Jan 25 18:53:53 2013  sqrtTime: 535


prp65 = 52595817575987203038540020990952242500419628932499082326103568469
prp58 = 8489372276233959208873488023963917199904214056355609123253
NFS elapsed time = 20391.8194 seconds.

ECM 6.3, Yafu 1.33

107879706536726861164968717989447155169955695977551414012119675110161970328254501934828396179973<96>

57341645677686168238959306858653153<35>
1881350025130286574760019710540932466595277058329366864971941<61>

Using B1=1500000, B2=2140044280, polynomial Dickson(6), sigma=1027283458
Step 1 took 3032ms
Step 2 took 2296ms
********** Factor found in step 2: 57341645677686168238959306858653153
Found probable prime factor of 35 digits: 57341645677686168238959306858653153
Probable prime cofactor has 61 digits

92222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<188>

895759633309557353278112328533042026200749374208761941550082324368749361415588034141733847<90>
102954206455463248769796564894617281772765610178435413915218656683405195370608390445586779368613541<99>

SNFS difficulty: 188 digits.
Divisors found:
 r1=895759633309557353278112328533042026200749374208761941550082324368749361415588034141733847 (pp90)
 r2=102954206455463248769796564894617281772765610178435413915218656683405195370608390445586779368613541 (pp99)
Version: Msieve v. 1.45 SVN229
Total time: 217.23 hours.
Scaled time: 521.36 units (timescale=2.400).
Factorization parameters were as follows:
n: 92222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 10000000000000000000000000000000000000
c5: 8300
c0: 43
skew: 0.35
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [6250000, 11550001)
Primes: , ,
Relations: 21432757 relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2279356 x 2279581
Total sieving time: 201.91 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 14.26 hours.
Time per square root: 0.73 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,56,56,2.5,2.5,100000
total time: 217.23 hours.

839816001729721220078463770452917241702456539348407536449024859725234995221399748451283014988581314394115800027088050628572439036885479477019886572732927338386087663587721918786537<180>

43083259658611080019948855825984514190286946664247194424262156945336757010176893<80>
19492861226944480563124856652139713494539071058432411481777150363575316496279314962344840355944236509<101>

Number: n
N=839816001729721220078463770452917241702456539348407536449024859725234995221399748451283014988581314394115800027088050628572439036885479477019886572732927338386087663587721918786537
  ( 180 digits)
SNFS difficulty: 190 digits.
Divisors found:

Fri Feb 17 21:52:02 2012  prp80 factor: 43083259658611080019948855825984514190286946664247194424262156945336757010176893
Fri Feb 17 21:52:02 2012  prp101 factor: 19492861226944480563124856652139713494539071058432411481777150363575316496279314962344840355944236509
Fri Feb 17 21:52:02 2012  elapsed time 03:56:19 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.654).
Factorization parameters were as follows:
name: KA_92227_189
n: 839816001729721220078463770452917241702456539348407536449024859725234995221399748451283014988581314394115800027088050628572439036885479477019886572732927338386087663587721918786537
m: 10000000000000000000000000000000000000
deg: 5
c5: 830000
c0: 43
skew: 0.14
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, 25400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9116132 hash collisions in 78986537 relations (72149050 unique)
Msieve: matrix is 1516488 x 1516714 (427.1 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,190,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5596.12 BogoMIPS (lpj=2798061)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Total of 8 processors activated (44761.89 BogoMIPS).

5673134660068388085409377130532653949545912123216622669039234211237576071874310877125207417939448587811985133830872237879760114298587534174475894916250603935263096217<166>

27158759482502386848236249551057041842292387584129<50>
208887842013676167244362752999803322260811481146329494949848538023170675023254801279583386873453141762898260076501273<117>

Factors:
208887842013676167244362752999803322260811481146329494949848538023170675023254801279583386873453141762898260076501273
27158759482502386848236249551057041842292387584129

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1131.92/313.295
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 257.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 401.18/157.243
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 56276843
Info:Lattice Sieving: Average J: 3792.33 for 924967 special-q, max bucket fill -bkmult 1.0,1s:1.202660
Info:Lattice Sieving: Total time: 432784s
Info:Generate Free Relations: Total cpu/real time for freerel: 894.95/40.6757
Info:Linear Algebra: Total cpu/real time for bwc: 144163/13340.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 90383.71, WCT time 8500.43, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (83000 iterations)
Info:Linear Algebra: Lingen CPU time 3029.42, WCT time 130.81
Info:Linear Algebra: Mksol: CPU time 48997.59,  WCT time 4466.67, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (42000 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 61.13/7.09114
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 205.57/144.595
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 144.4s
Info:Filtering - Merging: Total cpu/real time for merge: 626/64.9223
Info:Filtering - Merging: Total cpu/real time for replay: 122.31/103.296
Info:Square Root: Total cpu/real time for sqrt: 5238.21/331.691
Info:Quadratic Characters: Total cpu/real time for characters: 176.8/33.1248
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.54381e+06/25389.9
208887842013676167244362752999803322260811481146329494949848538023170675023254801279583386873453141762898260076501273 27158759482502386848236249551057041842292387584129

CADO-NFS

24903296358796214383648569259812232052426376890583544339068880904175068376383755412103847943449922231775360954277877074541577024994183971531206038939590827<155>

294466896048749561879946726817<30>
84570784332488857082244907359437292752667941541918723310251923670290393944139413727036521424250562047385134849852913421603531<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2851738976
Step 1 took 12293ms
Step 2 took 5992ms
********** Factor found in step 2: 294466896048749561879946726817
Found probable prime factor of 30 digits: 294466896048749561879946726817
Probable prime cofactor has 125 digits

23682502490780589226990035850456395140493051118925722433652927524164734149665488482640515201435929116081768737911011235684962867173022886007841699709300571296423<161>

167887070594660941233923905316475445995362022338022040267<57>
141062098510007167047448496192578928876753074241282267302999092834870647638082569237228734418773988354069<105>

23682502490780589226990035850456395140493051118925722433652927524164734149665488482640515201435929116081768737911011235684962867173022886007841699709300571296423=167887070594660941233923905316475445995362022338022040267*141062098510007167047448496192578928876753074241282267302999092834870647638082569237228734418773988354069

cado polynomial
n: 23682502490780589226990035850456395140493051118925722433652927524164734149665488482640515201435929116081768737911011235684962867173022886007841699709300571296423
skew: 0.61
type: snfs
c0: 43
c6: 830
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 830*x^6+43
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12400000
tasks.lim1 = 12400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 141062098510007167047448496192578928876753074241282267302999092834870647638082569237228734418773988354069 167887070594660941233923905316475445995362022338022040267
Info:Square Root: Total cpu/real time for sqrt: 2490.15/719.934
Info:Filtering - Singleton removal: Total cpu/real time for purge: 484.67/542.418
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30310891
Info:Lattice Sieving: Average J: 1893.34 for 5017131 special-q, max bucket fill -bkmult 1.0,1s:1.187720
Info:Lattice Sieving: Total time: 1.04751e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 134048/34316.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 86091.39, WCT time 21960.43, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (86528 iterations)
Info:Linear Algebra: Lingen CPU time 589.36, WCT time 149.48
Info:Linear Algebra: Mksol: CPU time 46354.07,  WCT time 11844.03, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43520 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 8.19/3.41963
Info:Generate Free Relations: Total cpu/real time for freerel: 182.07/46.6677
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 129.66/155.323
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 154.20000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 597.92/603.899
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 488.59999999999997s
Info:Filtering - Merging: Merged matrix has 2756667 rows and total weight 471173318 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 752.42/208.743
Info:Filtering - Merging: Total cpu/real time for replay: 108.13/95.8022
Info:Quadratic Characters: Total cpu/real time for characters: 96.22/42.8862
Info:Square Root: Total cpu/real time for sqrt: 2490.15/719.934
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.12193e+06/111345
Info:root: Cleaning up computation data in /tmp/cado.d9ogixnu
141062098510007167047448496192578928876753074241282267302999092834870647638082569237228734418773988354069 167887070594660941233923905316475445995362022338022040267

cado-nfs-3.0.0

4 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

12504723530913525799720578474581799203939698443967352199979185693968236609352638442238969212192724842888918306128626463780446012139<131>

11720614048120513813386654097598648467721<41>
1066900034381624372047140763793442647023513475275922846170191938065273451327897542766904659<91>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1849312937
Step 1 took 11636ms
Step 2 took 5197ms
********** Factor found in step 2: 11720614048120513813386654097598648467721
Found probable prime factor of 41 digits: 11720614048120513813386654097598648467721
Probable prime cofactor 1066900034381624372047140763793442647023513475275922846170191938065273451327897542766904659 has 91 digits

GMP-ECM 6.2.3

9222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<196>

69338283944973640118591299592051<32>
8890805917756191139995920180398030477767317251<46>
14959647629231329027530688242855668601236644925696534118695948903789519272196137726808740853230693522178962152364903627<119>

Number: 92227_195
N=9222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=69338283944973640118591299592051 (pp32)
 r2=8890805917756191139995920180398030477767317251 (pp46)
 r3=14959647629231329027530688242855668601236644925696534118695948903789519272196137726808740853230693522178962152364903627 (pp119)
Version: Msieve v. 1.42
Total time: 20.75 hours.
Scaled time: 21.24 units (timescale=1.024).
Factorization parameters were as follows:
name: 92227_195
n: 9222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 1000000000000000000000000000000000000000
deg: 5
c5: 83
c0: 43
skew: 0.88
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6700000, 14300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2618202 x 2618425
Total sieving time: 0.00 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 19.32 hours.
Time per square root: 1.17 hours.
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 20.75 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.48 BogoMIPS (lpj=2393740)
Calibrating delay using timer specific routine.. 4787.75 BogoMIPS (lpj=2393878)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393885)
Total of 4 processors activated (19150.78 BogoMIPS).

Total time: 14 days 8 hours.

22078578458755619397228207379033330673263639507355092703428829835341685952171946905008911233474317027106110180086718272018726890644534886814034527704625861197563376160455403931583007474795839651<194>

19426534474794700860922049191990770707<38>

1136516576716339174642001691569861233509109698870744034163687268442967397047939445971701817584982198584671204193017898817285710707030962122369019280963967793<157>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3776408171
Step 1 took 59380ms
Step 2 took 24029ms
********** Factor found in step 2: 19426534474794700860922049191990770707
Found probable prime factor of 38 digits: 19426534474794700860922049191990770707
Composite cofactor has 157 digits

1136516576716339174642001691569861233509109698870744034163687268442967397047939445971701817584982198584671204193017898817285710707030962122369019280963967793<157>

380961858577212486798037548861377665282971280419008494219824891021764543<72>
2983281793513175462801717328021463742774325581059018806508852506282016634983581972751<85>

1136516576716339174642001691569861233509109698870744034163687268442967397047939445971701817584982198584671204193017898817285710707030962122369019280963967793=380961858577212486798037548861377665282971280419008494219824891021764543*2983281793513175462801717328021463742774325581059018806508852506282016634983581972751

cado polynomial
n: 1136516576716339174642001691569861233509109698870744034163687268442967397047939445971701817584982198584671204193017898817285710707030962122369019280963967793
skew: 0.55
type: snfs
c0: 43
c5: 830
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 830*x^5+43
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13900000
tasks.lim1 = 13900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2983281793513175462801717328021463742774325581059018806508852506282016634983581972751 380961858577212486798037548861377665282971280419008494219824891021764543
Info:Square Root: Total cpu/real time for sqrt: 965.63/305.051
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33822491
Info:Lattice Sieving: Average J: 1894.47 for 6922823 special-q, max bucket fill -bkmult 1.0,1s:1.134060
Info:Lattice Sieving: Total time: 1.5653e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 120.51/33.0628
Info:Generate Factor Base: Total cpu/real time for makefb: 5.8/2.78914
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 147.24/177.384
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 176.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 646.73/678.93
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 543.4s
Info:Filtering - Merging: Merged matrix has 3319851 rows and total weight 567787880 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 953.09/262.346
Info:Filtering - Merging: Total cpu/real time for replay: 130.83/116.299
Info:Linear Algebra: Total cpu/real time for bwc: 202551/51823.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 130338.06, WCT time 33226.32, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (103936 iterations)
Info:Linear Algebra: Lingen CPU time 737.61, WCT time 187.01
Info:Linear Algebra: Mksol: CPU time 70169.03,  WCT time 17911.92, iteration CPU time 0.33, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52224 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 114.75/49.0644
Info:Square Root: Total cpu/real time for sqrt: 965.63/305.051
Info:Filtering - Singleton removal: Total cpu/real time for purge: 520.3/609.027
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.14518e+06/837720
Info:root: Cleaning up computation data in /tmp/cado.2verbg6_
2983281793513175462801717328021463742774325581059018806508852506282016634983581972751 380961858577212486798037548861377665282971280419008494219824891021764543

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

669704439115512378252317548542964537140122805512708221795466134410156384648578636797544065678999114848572750641276877107062063004191592300453672814151320988904645162791706325483965342453<186>

146089366583544711331504801007797005848946730504755693793764922006031453052945481014765797<90>
4584210711410852874666313124175138760418917816582376107445583545658542826101026351650295794647249<97>

Number: n
N=669704439115512378252317548542964537140122805512708221795466134410156384648578636797544065678999114848572750641276877107062063004191592300453672814151320988904645162791706325483965342453  ( 186 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sun Mar 21 02:31:30 2021  p90 factor: 146089366583544711331504801007797005848946730504755693793764922006031453052945481014765797
Sun Mar 21 02:31:30 2021  p97 factor: 4584210711410852874666313124175138760418917816582376107445583545658542826101026351650295794647249
Sun Mar 21 02:31:30 2021  elapsed time 01:24:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 83x10^197+43 = 92(196)7
#
n: 669704439115512378252317548542964537140122805512708221795466134410156384648578636797544065678999114848572750641276877107062063004191592300453672814151320988904645162791706325483965342453
m: 1000000000000000000000000000000000000000
deg: 5
c5: 8300
c0: 43
skew: 0.35
# Murphy_E = 1.298e-11
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5020426 hash collisions in 32046435 relations (28519825 unique)
Msieve: matrix is 1923980 x 1924205 (670.9 MB)

Sieving start time : 2021/03/20 15:22:45
Sieving end time  : 2021/03/21 01:06:05

Total sieving time: 9hrs 43min 20secs.

Total relation processing time: 1hrs 13min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 59sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116948] 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)
[    0.153521] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152037] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

2177398887714852783903154493469081380973680344391786076127221438548643625720670055810621225842903617184167612182690004179936786775384119864235443373613197843712264872463<169>

7099175891010479921665450557293<31>

306711500199909396977521178598080396698167473674577509593293189201126057954551839837374931754878326561828311393959546702403122133130931691<138>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1803742385
Step 1 took 8830ms
Step 2 took 6661ms
********** Factor found in step 2: 7099175891010479921665450557293
Found probable prime factor of 31 digits: 7099175891010479921665450557293
Composite cofactor 306711500199909396977521178598080396698167473674577509593293189201126057954551839837374931754878326561828311393959546702403122133130931691 has 138 digits

GMP-ECM 6.3

306711500199909396977521178598080396698167473674577509593293189201126057954551839837374931754878326561828311393959546702403122133130931691<138>

416129962205697494100110806476859243924121<42>
897805368529707336382561307118089670034181687<45>
820954098274515927245410578558013810327815440444533<51>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=950252509
Step 1 took 34698ms
Step 2 took 13948ms
********** Factor found in step 2: 897805368529707336382561307118089670034181687
Found probable prime factor of 45 digits: 897805368529707336382561307118089670034181687
Composite cofactor 341623597887586779159311495885956130033632227506622312220063978506527130111640722507561280493 has 93 digits

--------------------


Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1199391270
Step 1 took 18523ms
Step 2 took 9879ms
********** Factor found in step 2: 416129962205697494100110806476859243924121
Found probable prime factor of 42 digits: 416129962205697494100110806476859243924121
Probable prime cofactor 820954098274515927245410578558013810327815440444533 has 51 digits

GMP-ECM 6.3

176631565716461217364134848928842105478619283663565069511121703352843995857394003549731675914492452952313847781199554057417774459854687314715981420252351394529755467934854085968826340209919677<192>

238515820714126742507383475516697697191133670913034664694586490115761600247971770910969573597<93>
740544443499046001419184833568303922054757492509393613485644224965790333773565647255707013224652641<99>

N=176631565716461217364134848928842105478619283663565069511121703352843995857394003549731675914492452952313847781199554057417774459854687314715981420252351394529755467934854085968826340209919677
  ( 192 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=238515820714126742507383475516697697191133670913034664694586490115761600247971770910969573597 (pp93)
 r2=740544443499046001419184833568303922054757492509393613485644224965790333773565647255707013224652641 (pp99)
Version: Msieve v. 1.46
Total time:
Scaled time: 19.32 units (timescale=1.875).
Factorization parameters were as follows:
n: 176631565716461217364134848928842105478619283663565069511121703352843995857394003549731675914492452952313847781199554057417774459854687314715981420252351394529755467934854085968826340209919677
m: 10000000000000000000000000000000000000000
deg: 5
c5: 83
c0: 43
skew: 0.88
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 1600000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8100000, 20900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2789698 x 2789923
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time:

49954099422942259297207895998211344794504702792202348476620201572635187094099363227908519643683716957<101>

15936823665948953522344905506853119<35>
3134507883755753220232420659197089263599933690224721256948934890403<67>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3937783776
Step 1 took 3712ms
Step 2 took 3214ms
********** Factor found in step 2: 15936823665948953522344905506853119
Found probable prime factor of 35 digits: 15936823665948953522344905506853119
Probable prime cofactor 3134507883755753220232420659197089263599933690224721256948934890403 has 67 digits

GMP-ECM 6.3

8697415628692932420037560294903774537536072590237989714816006223059397032183633407194571720870116443387596524952703211881585423447892080625195317292257108813491227259<166>

854043822465307815793720273617201812039<39>
10183804858615707455823747127475350088562837377897125542062628237237634257885517044862397205996083175690526640719312829822503981<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3593638558
Step 1 took 27038ms
Step 2 took 10373ms
********** Factor found in step 2: 854043822465307815793720273617201812039
Found probable prime factor of 39 digits: 854043822465307815793720273617201812039

7196530829022754207451809892421173442626693145298593310208753535800231019138640299343044189116660735527283467307304133181016632299809568563289929291984366525008781724692806999559848881823<187>

8633102142767379442282000624822552617731776912513989657707889969779617<70>
833597322261714155357302216451799211720664878258388065931677619876443877138459774788300081609374395107521901992352319<117>

Number: n
N=7196530829022754207451809892421173442626693145298593310208753535800231019138640299343044189116660735527283467307304133181016632299809568563289929291984366525008781724692806999559848881823  ( 187 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Nov 27 00:17:07 2021  p70 factor: 8633102142767379442282000624822552617731776912513989657707889969779617
Sat Nov 27 00:17:07 2021  p117 factor: 833597322261714155357302216451799211720664878258388065931677619876443877138459774788300081609374395107521901992352319
Sat Nov 27 00:17:07 2021  elapsed time 03:43:52 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 83x10^206+43 = 92(205)7
#
n: 7196530829022754207451809892421173442626693145298593310208753535800231019138640299343044189116660735527283467307304133181016632299809568563289929291984366525008781724692806999559848881823
m: 100000000000000000000000000000000000000000
deg: 5
c5: 830
c0: 43
skew: 0.55
# Murphy_E = 5.329e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 66000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11953390 hash collisions in 66099775 relations (55932036 unique)
Msieve: matrix is 2901979 x 2902208 (1000.5 MB)

Sieving start time : 2021/11/25 18:42:32
Sieving end time  : 2021/11/26 20:31:15

Total sieving time: 25hrs 48min 43secs.

Total relation processing time: 3hrs 1min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 25min 24sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117806] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239948K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487288K reserved, 0K cma-reserved)
[    0.152615] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798284)
[    0.150213] smpboot: Total of 16 processors activated (102386.27 BogoMIPS)

254540298304956146785334328840452271019151360469714408309820250789533969006165906023867174586266334952722210311878386831792767952064259340803600107949121218962558072085201478978129087281999646897141<198>

14956087890957753225056258295271614121446054739<47>
17019176415702112839442147713742031646970856667614426512917412440991855092870873619511145444037077456030247763766660435926249213235891435642264844128919<152>

#
# N = 83x10^207+43 = 92(206)7
#
n: 254540298304956146785334328840452271019151360469714408309820250789533969006165906023867174586266334952722210311878386831792767952064259340803600107949121218962558072085201478978129087281999646897141
m: 100000000000000000000000000000000000000000
deg: 5
c5: 8300
c0: 43
skew: 0.35
# Murphy_E = 4.94e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 254540298304956146785334328840452271019151360469714408309820250789533969006165906023867174586266334952722210311878386831792767952064259340803600107949121218962558072085201478978129087281999646897141 (198 digits)
Using B1=54800000, B2=288596528236, polynomial Dickson(12), sigma=1:1505294068
Step 1 took 175122ms
Step 2 took 50365ms
********** Factor found in step 2: 14956087890957753225056258295271614121446054739
Found prime factor of 47 digits: 14956087890957753225056258295271614121446054739
Prime cofactor 17019176415702112839442147713742031646970856667614426512917412440991855092870873619511145444037077456030247763766660435926249213235891435642264844128919 has 152 digits

1438620756741038343458261834636349221759144865892610637204482436873724610329236988836824975429715454859917726282455288135121212482140324317831055245010799735614548816484880004172710561212797638383999<199>

1631418204274600617017701057199989084397847854899<49>
302766697285534881212884791614989326235010733644083<51>
2912546814135147672986539898600638333751575212268533389818528832431718145050871337446539429887923047<100>

Number: n
N=1438620756741038343458261834636349221759144865892610637204482436873724610329236988836824975429715454859917726282455288135121212482140324317831055245010799735614548816484880004172710561212797638383999
  ( 199 digits)
SNFS difficulty: 209 digits.
Divisors found:

Sat Apr 17 01:46:09 2021  found factor: 1631418204274600617017701057199989084397847854899
Sat Apr 17 01:55:12 2021  p49 factor: 1631418204274600617017701057199989084397847854899
Sat Apr 17 01:55:12 2021  p51 factor: 302766697285534881212884791614989326235010733644083
Sat Apr 17 01:55:12 2021  p100 factor: 2912546814135147672986539898600638333751575212268533389818528832431718145050871337446539429887923047
Sat Apr 17 01:55:12 2021  elapsed time 07:46:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 83x10^208+43 = 92(207)7
#
n: 1438620756741038343458261834636349221759144865892610637204482436873724610329236988836824975429715454859917726282455288135121212482140324317831055245010799735614548816484880004172710561212797638383999
m: 100000000000000000000000000000000000000000
deg: 5
c5: 83000
c0: 43
skew: 0.22
# Murphy_E = 3.57e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 67047613)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8725077 hash collisions in 51301967 relations (42760928 unique)
Msieve: matrix is 4258250 x 4258475 (1498.1 MB)

Sieving start time : 2021/04/15 13:24:15
Sieving end time  : 2021/04/16 06:36:07

Total sieving time: 17hrs 11min 52secs.

Total relation processing time: 7hrs 13min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 8sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
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)

257151212720818188184301002239303672254416112514724959490435487055515302560991300127234404615201972377906429124069785614100607544763624670184454001542615455209989962893<168>

1317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461<211>

67051299294810204919979908061831965541244217393189<50>
19648542702621265544440968674730867922781445439883215281138037658462574111317020103156781804482581098893544919121883974236290001739263430860875357058670991500849<161>

Sieving took ~5 Days with 8 threads on a I7 4770K CPU using the 14I-Siever

Mon Apr 28 07:13:16 2014  Msieve v. 1.52 (SVN 956M)
Mon Apr 28 07:13:16 2014  random seeds: 3d413bff 930e61ef
Mon Apr 28 07:13:16 2014  factoring 1317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461 (211 digits)
Mon Apr 28 07:13:17 2014  searching for 15-digit factors
Mon Apr 28 07:13:18 2014  commencing number field sieve (211-digit input)
Mon Apr 28 07:13:18 2014  R0: -1000000000000000000000000000000000000000000
Mon Apr 28 07:13:18 2014  R1: 1
Mon Apr 28 07:13:18 2014  A0: 43
Mon Apr 28 07:13:18 2014  A1: 0
Mon Apr 28 07:13:18 2014  A2: 0
Mon Apr 28 07:13:18 2014  A3: 0
Mon Apr 28 07:13:18 2014  A4: 0
Mon Apr 28 07:13:18 2014  A5: 83
Mon Apr 28 07:13:18 2014  skew 0.88, size 9.261e-15, alpha 0.441, combined = 4.469e-12 rroots = 1
Mon Apr 28 07:13:18 2014  
Mon Apr 28 07:13:18 2014  commencing relation filtering
Mon Apr 28 07:13:18 2014  estimated available RAM is 32004.3 MB
Mon Apr 28 07:13:18 2014  commencing duplicate removal, pass 1
Mon Apr 28 07:13:18 2014  error -11 reading relation 1002
Mon Apr 28 07:13:18 2014  error -1 reading relation 1774
Mon Apr 28 07:13:29 2014  error -15 reading relation 2776317
Mon Apr 28 07:13:29 2014  error -9 reading relation 2776848
Mon Apr 28 07:14:14 2014  error -15 reading relation 13553011
Mon Apr 28 07:14:59 2014  error -1 reading relation 24548487
Mon Apr 28 07:15:44 2014  error -15 reading relation 35712175
Mon Apr 28 07:16:30 2014  error -15 reading relation 47005081
Mon Apr 28 07:17:17 2014  error -11 reading relation 58407415
Mon Apr 28 07:18:03 2014  error -9 reading relation 69893380
Mon Apr 28 07:18:23 2014  error -9 reading relation 74693199
Mon Apr 28 07:18:34 2014  error -11 reading relation 77504929
Mon Apr 28 07:18:54 2014  error -9 reading relation 82288979
Mon Apr 28 07:19:06 2014  error -15 reading relation 85344995
Mon Apr 28 07:19:25 2014  error -11 reading relation 90105238
Mon Apr 28 07:19:38 2014  error -15 reading relation 93160465
Mon Apr 28 07:19:57 2014  error -1 reading relation 97872433
Mon Apr 28 07:20:10 2014  error -1 reading relation 100935479
Mon Apr 28 07:20:10 2014  error -11 reading relation 100937465
Mon Apr 28 07:20:29 2014  error -15 reading relation 105453335
Mon Apr 28 07:20:41 2014  error -15 reading relation 108475375
Mon Apr 28 07:21:00 2014  error -9 reading relation 113142939
Mon Apr 28 07:21:12 2014  error -9 reading relation 116198907
Mon Apr 28 07:21:31 2014  error -15 reading relation 120848639
Mon Apr 28 07:21:43 2014  error -11 reading relation 123831825
Mon Apr 28 07:22:01 2014  error -9 reading relation 128276743
Mon Apr 28 07:22:04 2014  error -11 reading relation 128921822
Mon Apr 28 07:22:07 2014  error -15 reading relation 129573325
Mon Apr 28 07:22:09 2014  error -9 reading relation 130216645
Mon Apr 28 07:22:12 2014  error -9 reading relation 130861206
Mon Apr 28 07:22:14 2014  error -11 reading relation 131500342
Mon Apr 28 07:22:17 2014  error -15 reading relation 132138720
Mon Apr 28 07:22:17 2014  error -9 reading relation 132141164
Mon Apr 28 07:22:19 2014  error -9 reading relation 132718865
Mon Apr 28 07:22:22 2014  error -15 reading relation 133290988
Mon Apr 28 07:22:24 2014  error -15 reading relation 133861806
Mon Apr 28 07:22:26 2014  error -9 reading relation 134431572
Mon Apr 28 07:22:31 2014  error -9 reading relation 135571247
Mon Apr 28 07:22:33 2014  error -15 reading relation 136137838
Mon Apr 28 07:22:35 2014  error -15 reading relation 136705879
Mon Apr 28 07:22:36 2014  error -11 reading relation 136768261
Mon Apr 28 07:22:36 2014  error -9 reading relation 136769388
Mon Apr 28 07:22:36 2014  error -15 reading relation 136771904
Mon Apr 28 07:23:05 2014  error -11 reading relation 144120390
Mon Apr 28 07:23:07 2014  error -9 reading relation 144444214
Mon Apr 28 07:23:08 2014  error -9 reading relation 144765972
Mon Apr 28 07:23:09 2014  error -11 reading relation 145087460
Mon Apr 28 07:23:11 2014  error -15 reading relation 145407822
Mon Apr 28 07:23:12 2014  error -15 reading relation 145731300
Mon Apr 28 07:23:22 2014  error -11 reading relation 148157019
Mon Apr 28 07:23:31 2014  error -9 reading relation 150572947
Mon Apr 28 07:23:41 2014  error -9 reading relation 152987190
Mon Apr 28 07:23:51 2014  error -11 reading relation 155375247
Mon Apr 28 07:24:01 2014  error -9 reading relation 157762514
Mon Apr 28 07:24:11 2014  error -11 reading relation 160166926
Mon Apr 28 07:24:22 2014  error -9 reading relation 162952071
Mon Apr 28 07:24:33 2014  error -11 reading relation 165746278
Mon Apr 28 07:24:45 2014  error -11 reading relation 168540829
Mon Apr 28 07:24:56 2014  error -15 reading relation 171313497
Mon Apr 28 07:25:04 2014  error -15 reading relation 173360132
Mon Apr 28 07:25:13 2014  error -9 reading relation 175414754
Mon Apr 28 07:25:13 2014  error -9 reading relation 175417347
Mon Apr 28 07:25:13 2014  error -9 reading relation 175419898
Mon Apr 28 07:25:13 2014  error -15 reading relation 175422560
Mon Apr 28 07:25:14 2014  error -9 reading relation 175680760
Mon Apr 28 07:25:15 2014  error -15 reading relation 175945377
Mon Apr 28 07:25:16 2014  error -9 reading relation 176215183
Mon Apr 28 07:25:17 2014  error -15 reading relation 176488442
Mon Apr 28 07:25:18 2014  error -11 reading relation 176763186
Mon Apr 28 07:25:19 2014  error -9 reading relation 177041598
Mon Apr 28 07:25:20 2014  error -15 reading relation 177319085
Mon Apr 28 07:25:22 2014  error -5 reading relation 177599827
Mon Apr 28 07:25:22 2014  error -9 reading relation 177601509
Mon Apr 28 07:25:22 2014  error -15 reading relation 177610651
Mon Apr 28 07:25:22 2014  skipped 105 relations with b > 2^32
Mon Apr 28 07:25:22 2014  found 14336899 hash collisions in 177616767 relations
Mon Apr 28 07:25:47 2014  added 731595 free relations
Mon Apr 28 07:25:47 2014  commencing duplicate removal, pass 2
Mon Apr 28 07:26:17 2014  found 8837809 duplicates and 169510553 unique relations
Mon Apr 28 07:26:17 2014  memory use: 788.8 MB
Mon Apr 28 07:26:17 2014  reading ideals above 46465024
Mon Apr 28 07:26:17 2014  commencing singleton removal, initial pass
Mon Apr 28 07:39:51 2014  memory use: 5512.0 MB
Mon Apr 28 07:39:51 2014  reading all ideals from disk
Mon Apr 28 07:39:52 2014  memory use: 3083.8 MB
Mon Apr 28 07:39:58 2014  keeping 187685972 ideals with weight <= 200, target excess is 5691596
Mon Apr 28 07:40:03 2014  commencing in-memory singleton removal
Mon Apr 28 07:40:08 2014  begin with 169510552 relations and 187685972 unique ideals
Mon Apr 28 07:40:48 2014  reduce to 46684088 relations and 36225336 ideals in 21 passes
Mon Apr 28 07:40:48 2014  max relations containing the same ideal: 31
Mon Apr 28 07:40:50 2014  reading ideals above 720000
Mon Apr 28 07:40:50 2014  commencing singleton removal, initial pass
Mon Apr 28 07:45:14 2014  memory use: 1378.0 MB
Mon Apr 28 07:45:14 2014  reading all ideals from disk
Mon Apr 28 07:45:15 2014  memory use: 1665.5 MB
Mon Apr 28 07:45:18 2014  keeping 41575824 ideals with weight <= 200, target excess is 251881
Mon Apr 28 07:45:21 2014  commencing in-memory singleton removal
Mon Apr 28 07:45:24 2014  begin with 46684090 relations and 41575824 unique ideals
Mon Apr 28 07:45:55 2014  reduce to 46668939 relations and 41560668 ideals in 11 passes
Mon Apr 28 07:45:55 2014  max relations containing the same ideal: 200
Mon Apr 28 07:46:11 2014  removing 7876328 relations and 6876328 ideals in 1000000 cliques
Mon Apr 28 07:46:13 2014  commencing in-memory singleton removal
Mon Apr 28 07:46:15 2014  begin with 38792611 relations and 41560668 unique ideals
Mon Apr 28 07:46:43 2014  reduce to 37716817 relations and 33576320 ideals in 12 passes
Mon Apr 28 07:46:43 2014  max relations containing the same ideal: 183
Mon Apr 28 07:46:56 2014  removing 5783583 relations and 4783583 ideals in 1000000 cliques
Mon Apr 28 07:46:57 2014  commencing in-memory singleton removal
Mon Apr 28 07:46:59 2014  begin with 31933234 relations and 33576320 unique ideals
Mon Apr 28 07:47:17 2014  reduce to 31216197 relations and 28055461 ideals in 10 passes
Mon Apr 28 07:47:17 2014  max relations containing the same ideal: 162
Mon Apr 28 07:47:28 2014  removing 5113474 relations and 4113474 ideals in 1000000 cliques
Mon Apr 28 07:47:29 2014  commencing in-memory singleton removal
Mon Apr 28 07:47:31 2014  begin with 26102723 relations and 28055461 unique ideals
Mon Apr 28 07:47:46 2014  reduce to 25434339 relations and 23252344 ideals in 10 passes
Mon Apr 28 07:47:46 2014  max relations containing the same ideal: 142
Mon Apr 28 07:47:54 2014  removing 4763822 relations and 3763822 ideals in 1000000 cliques
Mon Apr 28 07:47:55 2014  commencing in-memory singleton removal
Mon Apr 28 07:47:57 2014  begin with 20670517 relations and 23252344 unique ideals
Mon Apr 28 07:48:09 2014  reduce to 19955942 relations and 18747411 ideals in 11 passes
Mon Apr 28 07:48:09 2014  max relations containing the same ideal: 120
Mon Apr 28 07:48:16 2014  removing 4269851 relations and 3353502 ideals in 916349 cliques
Mon Apr 28 07:48:17 2014  commencing in-memory singleton removal
Mon Apr 28 07:48:18 2014  begin with 15686091 relations and 18747411 unique ideals
Mon Apr 28 07:48:26 2014  reduce to 14948158 relations and 14624343 ideals in 10 passes
Mon Apr 28 07:48:26 2014  max relations containing the same ideal: 98
Mon Apr 28 07:48:31 2014  removing 311323 relations and 279690 ideals in 31633 cliques
Mon Apr 28 07:48:31 2014  commencing in-memory singleton removal
Mon Apr 28 07:48:32 2014  begin with 14636835 relations and 14624343 unique ideals
Mon Apr 28 07:48:37 2014  reduce to 14632648 relations and 14340460 ideals in 7 passes
Mon Apr 28 07:48:37 2014  max relations containing the same ideal: 97
Mon Apr 28 07:48:40 2014  relations with 0 large ideals: 5226
Mon Apr 28 07:48:40 2014  relations with 1 large ideals: 1734
Mon Apr 28 07:48:40 2014  relations with 2 large ideals: 30287
Mon Apr 28 07:48:40 2014  relations with 3 large ideals: 250918
Mon Apr 28 07:48:40 2014  relations with 4 large ideals: 1093626
Mon Apr 28 07:48:40 2014  relations with 5 large ideals: 2732380
Mon Apr 28 07:48:40 2014  relations with 6 large ideals: 4168653
Mon Apr 28 07:48:40 2014  relations with 7+ large ideals: 6349824
Mon Apr 28 07:48:40 2014  commencing 2-way merge
Mon Apr 28 07:48:46 2014  reduce to 8068608 relation sets and 7776420 unique ideals
Mon Apr 28 07:48:46 2014  commencing full merge
Mon Apr 28 07:49:58 2014  memory use: 941.8 MB
Mon Apr 28 07:49:58 2014  found 4342345 cycles, need 4302620
Mon Apr 28 07:49:59 2014  weight of 4302620 cycles is about 301517466 (70.08/cycle)
Mon Apr 28 07:49:59 2014  distribution of cycle lengths:
Mon Apr 28 07:49:59 2014  1 relations: 556159
Mon Apr 28 07:49:59 2014  2 relations: 518643
Mon Apr 28 07:49:59 2014  3 relations: 513531
Mon Apr 28 07:49:59 2014  4 relations: 478242
Mon Apr 28 07:49:59 2014  5 relations: 424728
Mon Apr 28 07:49:59 2014  6 relations: 383563
Mon Apr 28 07:49:59 2014  7 relations: 329790
Mon Apr 28 07:49:59 2014  8 relations: 270757
Mon Apr 28 07:49:59 2014  9 relations: 218893
Mon Apr 28 07:49:59 2014  10+ relations: 608314
Mon Apr 28 07:49:59 2014  heaviest cycle: 21 relations
Mon Apr 28 07:50:00 2014  commencing cycle optimization
Mon Apr 28 07:50:04 2014  start with 23237330 relations
Mon Apr 28 07:50:19 2014  pruned 353586 relations
Mon Apr 28 07:50:19 2014  memory use: 831.2 MB
Mon Apr 28 07:50:19 2014  distribution of cycle lengths:
Mon Apr 28 07:50:19 2014  1 relations: 556159
Mon Apr 28 07:50:19 2014  2 relations: 526754
Mon Apr 28 07:50:19 2014  3 relations: 526013
Mon Apr 28 07:50:19 2014  4 relations: 484797
Mon Apr 28 07:50:19 2014  5 relations: 431736
Mon Apr 28 07:50:19 2014  6 relations: 386461
Mon Apr 28 07:50:19 2014  7 relations: 330889
Mon Apr 28 07:50:19 2014  8 relations: 269619
Mon Apr 28 07:50:19 2014  9 relations: 215760
Mon Apr 28 07:50:19 2014  10+ relations: 574432
Mon Apr 28 07:50:19 2014  heaviest cycle: 20 relations
Mon Apr 28 07:50:23 2014  RelProcTime: 2225
Mon Apr 28 07:50:23 2014  elapsed time 00:37:07



Mon Apr 28 08:13:50 2014  commencing linear algebra
Mon Apr 28 08:13:51 2014  matrix starts at (0, 0)
Mon Apr 28 08:13:51 2014  matrix is 4297881 x 4298058 (1303.5 MB) with weight 388249632 (90.33/col)
Mon Apr 28 08:13:51 2014  sparse part has weight 294416934 (68.50/col)
Mon Apr 28 08:13:51 2014  saving the first 48 matrix rows for later
Mon Apr 28 08:13:51 2014  matrix includes 64 packed rows
Mon Apr 28 08:13:52 2014  matrix is 4297833 x 4298058 (1246.1 MB) with weight 309371388 (71.98/col)
Mon Apr 28 08:13:52 2014  sparse part has weight 283684559 (66.00/col)
Mon Apr 28 08:13:52 2014  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Mon Apr 28 08:14:01 2014  commencing Lanczos iteration (4 threads)
Mon Apr 28 08:14:01 2014  memory use: 1017.3 MB
Mon Apr 28 08:14:01 2014  restarting at iteration 2821 (dim = 178346)
Mon Apr 28 08:14:09 2014  linear algebra at 4.2%, ETA 6h 2m
Mon Apr 28 08:14:10 2014  checkpointing every 690000 dimensions
Mon Apr 28 14:32:45 2014  lanczos halted after 67969 iterations (dim = 4297830)
Mon Apr 28 14:32:48 2014  recovered 33 nontrivial dependencies
Mon Apr 28 14:32:48 2014  BLanczosTime: 22738
Mon Apr 28 14:32:48 2014  elapsed time 06:19:00
Mon Apr 28 17:47:08 2014  
Mon Apr 28 17:47:08 2014  
Mon Apr 28 17:47:08 2014  Msieve v. 1.52 (SVN 956M)
Mon Apr 28 17:47:08 2014  random seeds: 5365d98d 00599d02
Mon Apr 28 17:47:08 2014  factoring 1317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317460317461 (211 digits)
Mon Apr 28 17:47:09 2014  searching for 15-digit factors
Mon Apr 28 17:47:10 2014  commencing number field sieve (211-digit input)
Mon Apr 28 17:47:10 2014  R0: -1000000000000000000000000000000000000000000
Mon Apr 28 17:47:10 2014  R1: 1
Mon Apr 28 17:47:10 2014  A0: 43
Mon Apr 28 17:47:10 2014  A1: 0
Mon Apr 28 17:47:10 2014  A2: 0
Mon Apr 28 17:47:10 2014  A3: 0
Mon Apr 28 17:47:10 2014  A4: 0
Mon Apr 28 17:47:10 2014  A5: 83
Mon Apr 28 17:47:10 2014  skew 0.88, size 9.261e-15, alpha 0.441, combined = 4.469e-12 rroots = 1
Mon Apr 28 17:47:10 2014  
Mon Apr 28 17:47:10 2014  commencing square root phase
Mon Apr 28 17:47:10 2014  reading relations for dependency 1
Mon Apr 28 17:47:10 2014  read 2150254 cycles
Mon Apr 28 17:47:12 2014  cycles contain 7175386 unique relations
Mon Apr 28 17:47:49 2014  read 7175386 relations
Mon Apr 28 17:48:11 2014  multiplying 7175386 relations
Mon Apr 28 17:50:55 2014  multiply complete, coefficients have about 220.68 million bits
Mon Apr 28 17:50:55 2014  initial square root is modulo 83074661
Mon Apr 28 17:54:12 2014  GCD is N, no factor found
Mon Apr 28 17:54:12 2014  reading relations for dependency 2
Mon Apr 28 17:54:12 2014  read 2149360 cycles
Mon Apr 28 17:54:14 2014  cycles contain 7174442 unique relations
Mon Apr 28 17:54:52 2014  read 7174442 relations
Mon Apr 28 17:55:13 2014  multiplying 7174442 relations
Mon Apr 28 17:57:57 2014  multiply complete, coefficients have about 220.64 million bits
Mon Apr 28 17:57:58 2014  initial square root is modulo 82829921
Mon Apr 28 18:01:27 2014  sqrtTime: 857
Mon Apr 28 18:01:27 2014  prp50 factor: 67051299294810204919979908061831965541244217393189
Mon Apr 28 18:01:27 2014  prp161 factor: 19648542702621265544440968674730867922781445439883215281138037658462574111317020103156781804482581098893544919121883974236290001739263430860875357058670991500849
Mon Apr 28 18:01:27 2014  elapsed time 00:14:19

ggnfs 64 bit, msieve

I7 4770K

1040225267312316416294928354284623710624792460624282692471466950268216277760838972099169030367898028259945948378957370162524568262386984902261882422170306363126388682066532586726189933477<187>

79526214936082302473545696333365311067136965334015989102214363146290999433509560083507134794255446560710097809667220091793865757737043111280106501026790220523419822730141<170>

40404315847773236766002215216945027905849028050755265560879067418363062567145151037618452741871106088555846736158321270592367140057185299632933516286033227842280797171660024029<176>

49018791608734743852785885794304209690471<41>
824261768227136822216029644131271692643486483273108502016308319528242919897343163630434487218361938917968823781203246776976072293449499<135>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2189212071
Step 1 took 77836ms
Step 2 took 29325ms
********** Factor found in step 2: 49018791608734743852785885794304209690471
Found probable prime factor of 41 digits: 49018791608734743852785885794304209690471

13056772684833487952001648119305368042587842328255576366883544908854758557403499653213077266885314104682056411840319383990330920494578159524836308238131897173<158>

95678415242562361531380423286051454786344060072054051966320501111314764347082891408998633824854205717891099617867130065312724893880179128856967655406937154989852291370902278535083789029768980615052431667228869<209>

108015078203912612261597982890135620536460852690091599<54>
885787584784589992232963764299595034272885024935319698036953481867612528970844029749002980324631139258254664021372534470709953616678096811241546352857730731<156>

Number: n
N=95678415242562361531380423286051454786344060072054051966320501111314764347082891408998633824854205717891099617867130065312724893880179128856967655406937154989852291370902278535083789029768980615052431667228869
  ( 209 digits)
SNFS difficulty: 218 digits.
Divisors found:

Sat Mar  7 13:17:02 2020  p54 factor: 108015078203912612261597982890135620536460852690091599
Sat Mar  7 13:17:02 2020  p156 factor: 885787584784589992232963764299595034272885024935319698036953481867612528970844029749002980324631139258254664021372534470709953616678096811241546352857730731
Sat Mar  7 13:17:02 2020  elapsed time 12:16:47 (Msieve 1.54 - dependency 7)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.132).
Factorization parameters were as follows:
#
# N = 83x10^217+43 = 92(216)7
#
n: 95678415242562361531380423286051454786344060072054051966320501111314764347082891408998633824854205717891099617867130065312724893880179128856967655406937154989852291370902278535083789029768980615052431667228869
m: 1000000000000000000000000000000000000
deg: 6
c6: 830
c0: 43
skew: 0.61
# Murphy_E = 2.181e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 98700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9999340 hash collisions in 58473557 relations (49313222 unique)
Msieve: matrix is 4852711 x 4852936 (1701.5 MB)

Sieving start time: 2020/03/04 20:00:47
Sieving end time  : 2020/03/06 21:17:37

Total sieving time: 49hrs 16min 50secs.

Total relation processing time: 10hrs 41min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 16min 28sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149030] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283244K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2712K bss, 420216K reserved, 0K cma-reserved)
[    0.184566] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.63 BogoMIPS (lpj=11977268)
[    0.182220] smpboot: Total of 16 processors activated (95818.14 BogoMIPS)

2602655147252270346256613644623431861077166843678573970751800457252016352200074567637833324082932508762011018324887247021135754806053587728763196323922069606287262260779147150672723640982850384017063383432877053393<214>

917913542724258948252153465449817151275331841<45>

2835403364382115290438329070951686831825300527479527973245013051281359119509595552433525878964000021708000355732952943059774520363104655661806851233171874306068488869073<169>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=671161725
Step 1 took 67237ms
Step 2 took 20940ms
********** Factor found in step 2: 917913542724258948252153465449817151275331841
Found probable prime factor of 45 digits: 917913542724258948252153465449817151275331841
Composite cofactor 

2325394768334484199132532821518960694984069693363258457661410226354745459601161467355778124268177384274415099495726519553052788727844139695007952427728530570389476741196522177036482597927604559<193>

1943084100643340641865320389994886867<37>

1196754565365731390059179971867419845660999585526294313012065781181144569504364820976828872953632355227069953847227584898194726739605302798263442083175507477<157>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=294094224
Step 1 took 10718ms
Step 2 took 7940ms
********** Factor found in step 2: 1943084100643340641865320389994886867
Found probable prime factor of 37 digits: 1943084100643340641865320389994886867
Composite cofactor 1196754565365731390059179971867419845660999585526294313012065781181144569504364820976828872953632355227069953847227584898194726739605302798263442083175507477 has 157 digits

GMP-ECM 6.3

1196754565365731390059179971867419845660999585526294313012065781181144569504364820976828872953632355227069953847227584898194726739605302798263442083175507477<157>

23091783617920710030742357369016349476455294329973155304577<59>
51825990801203110047112092952451612197168671526381731915206596508062401449413301103318400714487701<98>

Number: 92227_222
N = 1196754565365731390059179971867419845660999585526294313012065781181144569504364820976828872953632355227069953847227584898194726739605302798263442083175507477 (157 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=23091783617920710030742357369016349476455294329973155304577 (pp59)
r2=51825990801203110047112092952451612197168671526381731915206596508062401449413301103318400714487701 (pp98)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 153.20 hours.
Factorization parameters were as follows:
n: 1196754565365731390059179971867419845660999585526294313012065781181144569504364820976828872953632355227069953847227584898194726739605302798263442083175507477
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8300
c0: 43
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
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: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 35610722
Relations: 11238146 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 67.60 hours.
Total relation processing time: 0.49 hours.
Pruned matrix : 9564795 x 9565020
Matrix solve time: 84.76 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 153.20 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

505558718921734813487684600875544009885721990498774297554803309764289405373401744101685561457819595450950729941180149558022690631390085185480744151905815453455876941608690974418376149670753757454473208487946666069547<216>

7258378324715166867831901542785486068596071483321847131031336916643404446119258161<82>
69651745376826157416414480772070943960206358878175905525224787727937632287281040892725480107818375588673336061883900897361947156947227<134>

Number: n
N=505558718921734813487684600875544009885721990498774297554803309764289405373401744101685561457819595450950729941180149558022690631390085185480744151905815453455876941608690974418376149670753757454473208487946666069547
  ( 216 digits)
SNFS difficulty: 224 digits.
Divisors found:

Sun Aug  4 04:56:39 2019  p82 factor: 7258378324715166867831901542785486068596071483321847131031336916643404446119258161
Sun Aug  4 04:56:39 2019  p134 factor: 69651745376826157416414480772070943960206358878175905525224787727937632287281040892725480107818375588673336061883900897361947156947227
Sun Aug  4 04:56:39 2019  elapsed time 13:56:43 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 83x10^223+43 = 92(222)7
#
n: 505558718921734813487684600875544009885721990498774297554803309764289405373401744101685561457819595450950729941180149558022690631390085185480744151905815453455876941608690974418376149670753757454473208487946666069547
m: 10000000000000000000000000000000000000
deg: 6
c6: 830
c0: 43
skew: 0.61
# Murphy_E = 1.366e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 81100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14971025 hash collisions in 69990711 relations (56326501 unique)
Msieve: matrix is 5477075 x 5477300 (1909.0 MB)

Sieving start time: 2019/07/31 14:20:41
Sieving end time  : 2019/08/03 14:57:27

Total sieving time: 72hrs 36min 46secs.

Total relation processing time: 13hrs 21min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 22sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284124K/16703460K available (12300K kernel code, 2473K rwdata, 4272K rodata, 2408K init, 2416K bss, 419336K reserved, 0K cma-reserved)
[    0.080566] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.41 BogoMIPS (lpj=11976828)
[    0.078213] smpboot: Total of 16 processors activated (95814.62 BogoMIPS)

818092903221482291689151900829004094111436278398789143650904184860609289967312753072850581639412837967238237622870408071639705577235017490924836285318080927524164049508616933123467862304516454361701739689343511986095969<219>

30009733653255809781211449330246949196649490787813169113584205544057115945976439951068552864418660432420082696352314865786813991863402774602523810766244846617458971494648504964218304310334004518070607018649743123389<215>

3424819043870686035663637768963998824293970896777572338733625629211545815982257289065290932375462788301616230467113454810647505830092386319449227484206510678198358652393713398882995737997959033973384161071056331<211>

11348537487504221223591662990514959339935023426341708949142622095180398699427457351631112956298876217977658078417677492149322310415387140204185274598433868287258432086871578878966296272953174311953147695993<206>

4733624411312495462421780421079274350205966841930536285997146251827792112675317336762530545422462576279078070184593672239169167930915090013290078271905431537447560138844618094319234375603287599107409530884703566466616855250271<226>

3874364857999795425299363355997863325507288692414615727112838088220593732763361230402287873929013717541039196633740278871639534855925992088262912389607948862447987209116288212188251532120452780765928314426481<208>

11303724227990246231346719115952423816053331234549880982295442153486566725081304418625963146248576152493636543186498638552996409771555201685444206959945319592753757929098158832555058801546315619698449605675315495391630151<221>

3879010052306288033486543089812229<34>

2914074486935023824813249972218913045823454018863104775571017134404877777112551456328682453920602741439022616403292881310953273453885025730521333881183859938036011520576085450313495488219<187>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1426064494
Step 1 took 11497ms
Step 2 took 6349ms
********** Factor found in step 2: 3879010052306288033486543089812229
Found probable prime factor of 34 digits: 3879010052306288033486543089812229
Composite cofactor 2914074486935023824813249972218913045823454018863104775571017134404877777112551456328682453920602741439022616403292881310953273453885025730521333881183859938036011520576085450313495488219 has 187 digits

GMP-ECM 6.3

2914074486935023824813249972218913045823454018863104775571017134404877777112551456328682453920602741439022616403292881310953273453885025730521333881183859938036011520576085450313495488219<187>

69784955020382268088679975314459258528667<41>

41757918824822667414493254340185169347247678915046988116909675978386645407247965003866191584165819276510904016511247014303922263797673737194462657<146>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=47326310
Step 1 took 88939ms
Step 2 took 28174ms
********** Factor found in step 2: 69784955020382268088679975314459258528667
Found probable prime factor of 41 digits: 69784955020382268088679975314459258528667

41757918824822667414493254340185169347247678915046988116909675978386645407247965003866191584165819276510904016511247014303922263797673737194462657<146>

7204578596025253104352551716584914280264779315241<49>
5796025162090729419567700927119224929898053110336691942172638147022857501220475781259561165065177<97>

Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7268.77
Info:Polynomial Selection (root optimized): Rootsieve time: 7266.93
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78185/43.080/52.493/57.570/0.892
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63856/42.440/47.092/53.230/1.238
Info:Polynomial Selection (size optimized): Total time: 58899.2
Info:Linear Algebra: Total cpu/real time for bwc: 1.33517e+06/30290.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 856453.95, WCT time 19309.83, iteration CPU time 0.11, COMM 0.02, cpu-wait 0.04, comm-wait 0.0 (114688 iterations)
Info:Linear Algebra: Lingen CPU time 33673.83, WCT time 572.04
Info:Linear Algebra: Mksol: CPU time 439357.34,  WCT time 10166.92, iteration CPU time 0.12, COMM 0.02, cpu-wait 0.04, comm-wait 0.0 (57344 iterations)
Info:Filtering - Merging: Total cpu/real time for merge: 2996.58/76.36
Info:Filtering - Merging: Total cpu/real time for replay: 149.86/121.947
Info:Generate Factor Base: Total cpu/real time for makefb: 29.36/1.06899
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49973277
Info:Lattice Sieving: Average J: 3836.43 for 1321390 special-q, max bucket fill -bkmult 1.0,1s:1.220150
Info:Lattice Sieving: Total time: 1.75221e+06s
Info:Square Root: Total cpu/real time for sqrt: 11127.3/420.756
Info:Generate Free Relations: Total cpu/real time for freerel: 1098.07/21.7937
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 156.85/194.389
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 193.70000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2367.56/630.511
Info:Quadratic Characters: Total cpu/real time for characters: 194.37/28.1208
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.86833e+06/87710.2
5796025162090729419567700927119224929898053110336691942172638147022857501220475781259561165065177 7204578596025253104352551716584914280264779315241

real    1461m51.361s
user    0m10.573s
sys     0m1.892s

n: 41757918824822667414493254340185169347247678915046988116909675978386645407247965003866191584165819276510904016511247014303922263797673737194462657
skew: 707952.633
c0: 2756760581829579101975545040690955
c1: 15637409349468513964174994278
c2: -17127139265114123495650
c3: -11381952512474477
c4: 57926390454
c5: -16200
Y0: -19164635548268295849219621434
Y1: 15763539989020936697
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.653e-07
# f(x) = -16200*x^5+57926390454*x^4-11381952512474477*x^3-17127139265114123495650*x^2+15637409349468513964174994278*x+2756760581829579101975545040690955
# g(x) = 15763539989020936697*x-19164635548268295849219621434

CADO-NFS-3.0.0-dev, revision be718f1fb8c321446e4eba28f24a00f766825d8d, containerized

AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

1611685881564604285710114875055094350415393119476850467377394987434358169197644470005253013595864866032959937631482346191403925720040392032409379493022061769444574417492285171757003841152212556196313<199>

2487473808462133368644032533343185558245671562772892761055165105065956696201296776446188480143162957934048557518721154701822406884995764571605556278459750723531779486268681902105951164307156259<193>

118996824417590528228527796574095831988542436332876652229424352127939501024418483620875302841875137665597943288271241591321243785027996369240786399566392736907251963945172260364132128358469876838799967958514207958169<216>

347346122301422495935898238571917973<36>

342588607666466519601728145771337094495255900622029074882601300726736361552593854650512437000947159486769301781224930109834964018401865191308309755217029605603560414695362715307253<180>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3839190143
Step 1 took 11950ms
Step 2 took 6458ms
********** Factor found in step 2: 347346122301422495935898238571917973
Found probable prime factor of 36 digits: 347346122301422495935898238571917973
Composite cofactor 342588607666466519601728145771337094495255900622029074882601300726736361552593854650512437000947159486769301781224930109834964018401865191308309755217029605603560414695362715307253 has 180 digits

GMP-ECM 6.3

342588607666466519601728145771337094495255900622029074882601300726736361552593854650512437000947159486769301781224930109834964018401865191308309755217029605603560414695362715307253<180>

155799372485240551731960628412034381919<39>
2198908777369569957333762799361520595795984609537402042955026013189546960629218713294145587864173169521627383469959908038441822983878295423787<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3239131326
Step 1 took 18807ms
Step 2 took 6815ms
********** Factor found in step 2: 155799372485240551731960628412034381919
Found probable prime factor of 39 digits: 155799372485240551731960628412034381919

245322354019243393836921229439217592182484376530979010112363387319443001879618084890318121286963465431706053438040221340283906917093077065343283040497649469300597174687618620086743183<183>

8685630516543834422798444306957807<34>

28244622373927723260642120118174577773399529649904560141086967229046677055472038340266398393397746919533015762818132055098292944839041261240453193569<149>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2419267020
Step 1 took 8627ms
Step 2 took 5273ms
********** Factor found in step 2: 8685630516543834422798444306957807
Found probable prime factor of 34 digits: 8685630516543834422798444306957807
Composite cofactor 28244622373927723260642120118174577773399529649904560141086967229046677055472038340266398393397746919533015762818132055098292944839041261240453193569 has 149 digits

GMP-ECM 6.3

28244622373927723260642120118174577773399529649904560141086967229046677055472038340266398393397746919533015762818132055098292944839041261240453193569<149>

750514393489679154620929486153999751461<39>
312682470866763665258452236677488461994254591014459387<54>
120357514864032162909652542776037745025178371337050866967<57>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3211903381
Step 1 took 5133ms
Step 2 took 4259ms
********** Factor found in step 2: 750514393489679154620929486153999751461
Found probable prime factor of 39 digits: 750514393489679154620929486153999751461
Composite cofactor 37633685135068811582979707035992816895430487080974790320305086453519086248088582729880579484662121421161369229 has 110 digits

N = 37633685135068811582979707035992816895430487080974790320305086453519086248088582729880579484662121421161369229 (110 digits)
Divisors found:
r1=312682470866763665258452236677488461994254591014459387 (pp54)
r2=120357514864032162909652542776037745025178371337050866967 (pp57)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 2.97 hours.
Factorization parameters were as follows:
n: 37633685135068811582979707035992816895430487080974790320305086453519086248088582729880579484662121421161369229
Y0: -1455570021201778979060
Y1: 314704252561
c0: -25651415766439401285490451
c1: 5306034405864971176008
c2: 460346984034955343
c3: -44318284795676
c4: -689970784
c5: 5760
skew: 26929.53  
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 7456734
Relations: 625874 relations
Pruned matrix : 361483 x 361729
Polynomial selection time: 0.00 hours.
Total sieving time: 2.82 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,109,5,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 2.97 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

255960731115002140871031364263785107357781820085856556420355953399485159312911481517255344307783473355629531558726405708164232992458884916512568974972356493950413248012022425511737882806323987040171942766659<207>

1807217873724753045335393129882638208774622919314153867441254040749595601395922981775147105117915572683065528589269905024575797700442717774375118901914080188947768677821551482452232132136321543331485900288090929648523<217>

117697272915753803448887433890906196088864119481234480300813830890861290977769971707908377903681980800556211638926947731319864974094756823227744557944068618156948620033229366679133486907324712413419896079<204>