4933057597964727552901880645756689914969097600636189658953979103976754079531163333445454685309931641<100>

3272043180218912002873276993012202677800691081933<49>
1507638293952675598359386596288820621402281481411677<52>

Number: 77727_107
N=4933057597964727552901880645756689914969097600636189658953979103976754079531163333445454685309931641
  ( 100 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=3272043180218912002873276993012202677800691081933 (pp49)
 r2=1507638293952675598359386596288820621402281481411677 (pp52)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.53 hours.
Scaled time: 2.57 units (timescale=1.683).
Factorization parameters were as follows:
n: 4933057597964727552901880645756689914969097600636189658953979103976754079531163333445454685309931641
m: 1000000000000000000000
c5: 700
c0: -457
skew: 0.92
type: snfsFactor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85580 x 85805
Total sieving time: 1.48 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,107.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.53 hours.
 --------- CPU info (if available) ----------

31168677503113892997225547925342209169277217376109232026455567183429682800964688483922778067737383<98>

440659568758481233833959736031914943401721<42>
70731874927688154114205719934732464533945092998998401823<56>

Number: 77727_116
N=31168677503113892997225547925342209169277217376109232026455567183429682800964688483922778067737383
  ( 98 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=440659568758481233833959736031914943401721 (pp42)
 r2=70731874927688154114205719934732464533945092998998401823 (pp56)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.96 hours.
Scaled time: 3.47 units (timescale=1.771).
Factorization parameters were as follows:
n: 31168677503113892997225547925342209169277217376109232026455567183429682800964688483922778067737383
m: 100000000000000000000000
c5: 70
c0: -457
skew: 1.46
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 113400 x 113625
Total sieving time: 1.89 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.96 hours.
 --------- CPU info (if available) ----------

170261116098533500460574682924055174859118479293227485373489577124161260328354589639531743724134580362815916269<111>

130207867568322632843936622846721993999668329873728409<54>
1307610049056322492769936541478055152623610926277870183541<58>

Number: 77727_119
N=170261116098533500460574682924055174859118479293227485373489577124161260328354589639531743724134580362815916269
  ( 111 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=130207867568322632843936622846721993999668329873728409 (pp54)
 r2=1307610049056322492769936541478055152623610926277870183541 (pp58)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.19 hours.
Scaled time: 3.82 units (timescale=1.747).
Factorization parameters were as follows:
n: 170261116098533500460574682924055174859118479293227485373489577124161260328354589639531743724134580362815916269
m: 500000000000000000000000
c5: 112
c0: -2285
skew: 1.83
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 97863 x 98100
Total sieving time: 2.13 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,120.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.19 hours.
 --------- CPU info (if available) ----------

1200936030696771725817933559842127440710039323131260595869998645265468192395219202816650206413012539<100>

31756974953604595320899293398692223000035138682613<50>
37816449219463793099991995150010487531987500001903<50>

Number: 77727_122
N=1200936030696771725817933559842127440710039323131260595869998645265468192395219202816650206413012539
  ( 100 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=31756974953604595320899293398692223000035138682613 (pp50)
 r2=37816449219463793099991995150010487531987500001903 (pp50)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.34 hours.
Scaled time: 5.95 units (timescale=1.781).
Factorization parameters were as follows:
n: 1200936030696771725817933559842127440710039323131260595869998645265468192395219202816650206413012539
m: 1000000000000000000000000
c5: 700
c0: -457
skew: 0.92
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 118958 x 119189
Total sieving time: 3.27 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.34 hours.
 --------- CPU info (if available) ----------

232409042571028353571180747500523750378079710325369339470260108880316315347197528761449050459655284267800291573744551253<120>

9391734941570327720106823232423337095452501959090359507741<58>
24746124546416216068245158091849885636131415892368592238183833<62>

Number: 77727_125
N=232409042571028353571180747500523750378079710325369339470260108880316315347197528761449050459655284267800291573744551253
  ( 120 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=9391734941570327720106823232423337095452501959090359507741 (pp58)
 r2=24746124546416216068245158091849885636131415892368592238183833 (pp62)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.11 hours.
Scaled time: 3.67 units (timescale=1.742).
Factorization parameters were as follows:
n: 232409042571028353571180747500523750378079710325369339470260108880316315347197528761449050459655284267800291573744551253
m: 10000000000000000000000000
c5: 7
c0: -457
skew: 2.31
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 119182 x 119407
Total sieving time: 2.04 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.11 hours.
 --------- CPU info (if available) ----------

88457086882942474953723359079021205147691932828670488594109437869492360068818097187725537928711852391608571527101791879<119>

814493435906270120030940669723251417145919184410189<51>
108603805731740601319152243417170081997708979809385100948950318578211<69>

Number: 77727_126
N=88457086882942474953723359079021205147691932828670488594109437869492360068818097187725537928711852391608571527101791879
  ( 119 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=814493435906270120030940669723251417145919184410189 (pp51)
 r2=108603805731740601319152243417170081997708979809385100948950318578211 (pp69)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.42 hours.
Scaled time: 5.77 units (timescale=1.691).
Factorization parameters were as follows:
n: 88457086882942474953723359079021205147691932828670488594109437869492360068818097187725537928711852391608571527101791879
m: 10000000000000000000000000
c5: 70
c0: -457
skew: 1.46
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 125880 x 126106
Total sieving time: 3.34 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.42 hours.
 --------- CPU info (if available) ----------

12840973712692385302588373415515565094564599269898923192632949938546768660686441766184212940032652761726560636912296149542311<125>

2444116970460636132778217777641514433767248133017517<52>
5253829447562111408926162036166957961662550832700063931089115365554005283<73>

Number: 77727_128
N=12840973712692385302588373415515565094564599269898923192632949938546768660686441766184212940032652761726560636912296149542311
  ( 125 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=2444116970460636132778217777641514433767248133017517 (pp52)
 r2=5253829447562111408926162036166957961662550832700063931089115365554005283 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.60 hours.
Scaled time: 7.72 units (timescale=1.678).
Factorization parameters were as follows:
n: 12840973712692385302588373415515565094564599269898923192632949938546768660686441766184212940032652761726560636912296149542311
m: 20000000000000000000000000
c5: 875
c0: -1828
skew: 1.16
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130301 x 130526
Total sieving time: 4.52 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.60 hours.
 --------- CPU info (if available) ----------

110026563556058534131811823140158123889910564121909432420112855818047500039295201270020905047075651121485044246396630043539083<126>

9766713667056378770994888203497862543221<40>
57113069760465713940366771540243218211587<41>
197248445705919762276072608723246665234707029<45>

Number: 77727_129
N=110026563556058534131811823140158123889910564121909432420112855818047500039295201270020905047075651121485044246396630043539083
  ( 126 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=9766713667056378770994888203497862543221 (pp40)
 r2=57113069760465713940366771540243218211587 (pp41)
 r3=197248445705919762276072608723246665234707029 (pp45)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.93 hours.
Scaled time: 6.63 units (timescale=1.689).
Factorization parameters were as follows:
n: 110026563556058534131811823140158123889910564121909432420112855818047500039295201270020905047075651121485044246396630043539083
m: 50000000000000000000000000
c5: 112
c0: -2285
skew: 1.83
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 124500 x 124748
Total sieving time: 3.82 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.93 hours.
 --------- CPU info (if available) ----------

86307052035612088804217379513586692903778280528917662649711051192855230519577773904885716612307849103<101>

1534591641738420496080163027365232669123318389437<49>
56241054420081088855135798525068822736602683197775419<53>

Number: 77727_131
N=86307052035612088804217379513586692903778280528917662649711051192855230519577773904885716612307849103
  ( 101 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1534591641738420496080163027365232669123318389437 (pp49)
 r2=56241054420081088855135798525068822736602683197775419 (pp53)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.91 hours.
Scaled time: 8.50 units (timescale=1.733).
Factorization parameters were as follows:
n: 86307052035612088804217379513586692903778280528917662649711051192855230519577773904885716612307849103
m: 100000000000000000000000000
c5: 70
c0: -457
skew: 1.46
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 139659 x 139890
Total sieving time: 4.82 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.91 hours.
 --------- CPU info (if available) ----------

11346754198942717558195892012969363298575033423212245685338269842664867524996844800054758698195861069<101>

73933932471487593924054392065376153333469030187699<50>
153471536270826123329080345070008789465873885477631<51>

Number: 77727_132
N=11346754198942717558195892012969363298575033423212245685338269842664867524996844800054758698195861069
  ( 101 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=73933932471487593924054392065376153333469030187699 (pp50)
 r2=153471536270826123329080345070008789465873885477631 (pp51)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 6.52 hours.
Scaled time: 11.03 units (timescale=1.691).
Factorization parameters were as follows:
n: 11346754198942717558195892012969363298575033423212245685338269842664867524996844800054758698195861069
m: 100000000000000000000000000
c5: 700
c0: -457
skew: 0.92
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 151511 x 151744
Total sieving time: 6.42 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.52 hours.
 --------- CPU info (if available) ----------

6268958491085903083254635949771782361729721732492029510552912600943095213761980863939731068966003838704019<106>

1044793447617900332052178063493649437749<40>
6000189324865074605549830019398126962338018451964082981141535416231<67>

Number: 77727_133
N=6268958491085903083254635949771782361729721732492029510552912600943095213761980863939731068966003838704019
  ( 106 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=1044793447617900332052178063493649437749 (pp40)
 r2=6000189324865074605549830019398126962338018451964082981141535416231 (pp67)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 7.76 hours.
Scaled time: 13.46 units (timescale=1.733).
Factorization parameters were as follows:
n: 6268958491085903083254635949771782361729721732492029510552912600943095213761980863939731068966003838704019
m: 200000000000000000000000000
c5: 875
c0: -1828
skew: 1.16
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 2075001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167215 x 167445
Total sieving time: 7.63 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 7.76 hours.
 --------- CPU info (if available) ----------

777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777727<135>

2131726058443201982902744139052276407372929282112977<52>
364858221203989190369882752318604995357132313171540119002139025812899058834112916751<84>

Number: 77727_135
N=777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777727
  ( 135 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=2131726058443201982902744139052276407372929282112977 (pp52)
 r2=364858221203989190369882752318604995357132313171540119002139025812899058834112916751 (pp84)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.60 hours.
Scaled time: 7.99 units (timescale=1.737).
Factorization parameters were as follows:
n: 777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777727
m: 1000000000000000000000000000
c5: 7
c0: -457
skew: 2.31
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1325001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 132553 x 132778
Total sieving time: 4.51 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 4.60 hours.
 --------- CPU info (if available) ----------

4313931093602060377369146324674331342667981363051028456179032178223989117189332789994944645894857963797173496694064818970414366017171<133>

185098619396330150263085805574898667170061909153957339228996527<63>
23306122474988002772766607898808018100631276420920318721342905545134173<71>

Divisors found:
 r1=185098619396330150263085805574898667170061909153957339228996527 (pp63)
 r2=23306122474988002772766607898808018100631276420920318721342905545134173 (pp71)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 4.09 hours.
Scaled time: 9.81 units (timescale=2.400).
Factorization parameters were as follows:
#res 6850
n: 4313931093602060377369146324674331342667981363051028456179032178223989117189332789994944645894857963797173496694064818970414366017171
m: 10000000000000000000000000000
deg: 5
c5: 70
c0: -457
skew: 1.46
# Murphy_E = 2.109e-09
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [810000, 2110001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 290208 x 290433
Total sieving time: 3.89 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
total time: 4.09 hours.

11339575700997171070690690890017178825468508471131068924090184999682781737671731733418650659108995471221043022919247661296627771<128>

689640836521710396864916307316288369882679<42>
16442726562118531029717809702390946324608239547744318823452559274591888832005777003549<86>

01/17/15 05:28:42 v1.34.3, 
01/17/15 05:28:42 v1.34.3, ****************************
01/17/15 05:28:42 v1.34.3, Starting factorization of 11339575700997171070690690890017178825468508471131068924090184999682781737671731733418650659108995471221043022919247661296627771
01/17/15 05:28:42 v1.34.3, using pretesting plan: none
01/17/15 05:28:42 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/17/15 05:28:42 v1.34.3, ****************************
01/17/15 05:28:42 v1.34.3, nfs: commencing nfs on c128: 11339575700997171070690690890017178825468508471131068924090184999682781737671731733418650659108995471221043022919247661296627771
01/17/15 05:28:42 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/17/15 05:28:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 05:29:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
[84 lines snipped]
01/17/15 06:31:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 06:32:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 06:32:58 v1.34.3, nfs: commencing msieve filtering
01/17/15 06:33:45 v1.34.3, nfs: commencing msieve linear algebra
01/17/15 06:36:17 v1.34.3, nfs: commencing msieve sqrt
01/17/15 06:37:06 v1.34.3, prp42 = 689640836521710396864916307316288369882679
01/17/15 06:37:06 v1.34.3, prp86 = 16442726562118531029717809702390946324608239547744318823452559274591888832005777003549
01/17/15 06:37:06 v1.34.3, NFS elapsed time = 4104.1777 seconds.
01/17/15 06:37:06 v1.34.3, 
01/17/15 06:37:06 v1.34.3, 
01/17/15 06:37:06 v1.34.3, Total factoring time = 4104.1785 seconds
--
Sat Jan 17 06:32:58 2015  
Sat Jan 17 06:32:58 2015  commencing relation filtering
Sat Jan 17 06:32:58 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 06:32:58 2015  commencing duplicate removal, pass 1
Sat Jan 17 06:33:10 2015  found 740546 hash collisions in 4505295 relations
Sat Jan 17 06:33:13 2015  added 180337 free relations
Sat Jan 17 06:33:13 2015  commencing duplicate removal, pass 2
Sat Jan 17 06:33:17 2015  found 618141 duplicates and 4067491 unique relations
Sat Jan 17 06:33:17 2015  memory use: 20.6 MB
Sat Jan 17 06:33:17 2015  reading ideals above 100000
Sat Jan 17 06:33:17 2015  commencing singleton removal, initial pass
Sat Jan 17 06:33:34 2015  memory use: 94.1 MB
Sat Jan 17 06:33:34 2015  reading all ideals from disk
Sat Jan 17 06:33:34 2015  memory use: 131.8 MB
Sat Jan 17 06:33:34 2015  keeping 4601150 ideals with weight <= 200, target excess is 21829
Sat Jan 17 06:33:34 2015  commencing in-memory singleton removal
Sat Jan 17 06:33:34 2015  begin with 4067491 relations and 4601150 unique ideals
Sat Jan 17 06:33:35 2015  reduce to 1571367 relations and 1441231 ideals in 15 passes
Sat Jan 17 06:33:35 2015  max relations containing the same ideal: 104
Sat Jan 17 06:33:35 2015  removing 282304 relations and 229897 ideals in 52407 cliques
Sat Jan 17 06:33:35 2015  commencing in-memory singleton removal
Sat Jan 17 06:33:36 2015  begin with 1289063 relations and 1441231 unique ideals
Sat Jan 17 06:33:36 2015  reduce to 1250432 relations and 1171140 ideals in 8 passes
Sat Jan 17 06:33:36 2015  max relations containing the same ideal: 89
Sat Jan 17 06:33:36 2015  removing 222432 relations and 170025 ideals in 52407 cliques
Sat Jan 17 06:33:36 2015  commencing in-memory singleton removal
Sat Jan 17 06:33:36 2015  begin with 1028000 relations and 1171140 unique ideals
Sat Jan 17 06:33:36 2015  reduce to 999977 relations and 971936 ideals in 7 passes
Sat Jan 17 06:33:36 2015  max relations containing the same ideal: 74
Sat Jan 17 06:33:36 2015  relations with 0 large ideals: 499
Sat Jan 17 06:33:36 2015  relations with 1 large ideals: 144
Sat Jan 17 06:33:36 2015  relations with 2 large ideals: 2351
Sat Jan 17 06:33:36 2015  relations with 3 large ideals: 18915
Sat Jan 17 06:33:36 2015  relations with 4 large ideals: 80914
Sat Jan 17 06:33:36 2015  relations with 5 large ideals: 198903
Sat Jan 17 06:33:36 2015  relations with 6 large ideals: 296719
Sat Jan 17 06:33:36 2015  relations with 7+ large ideals: 401532
Sat Jan 17 06:33:36 2015  commencing 2-way merge
Sat Jan 17 06:33:37 2015  reduce to 617345 relation sets and 589304 unique ideals
Sat Jan 17 06:33:37 2015  commencing full merge
Sat Jan 17 06:33:43 2015  memory use: 78.2 MB
Sat Jan 17 06:33:43 2015  found 313013 cycles, need 307504
Sat Jan 17 06:33:43 2015  weight of 307504 cycles is about 21818383 (70.95/cycle)
Sat Jan 17 06:33:43 2015  distribution of cycle lengths:
Sat Jan 17 06:33:43 2015  1 relations: 24664
Sat Jan 17 06:33:43 2015  2 relations: 31220
Sat Jan 17 06:33:43 2015  3 relations: 32694
Sat Jan 17 06:33:43 2015  4 relations: 31543
Sat Jan 17 06:33:43 2015  5 relations: 29259
Sat Jan 17 06:33:43 2015  6 relations: 26842
Sat Jan 17 06:33:43 2015  7 relations: 24164
Sat Jan 17 06:33:43 2015  8 relations: 21293
Sat Jan 17 06:33:43 2015  9 relations: 18096
Sat Jan 17 06:33:43 2015  10+ relations: 67729
Sat Jan 17 06:33:43 2015  heaviest cycle: 22 relations
Sat Jan 17 06:33:43 2015  commencing cycle optimization
Sat Jan 17 06:33:43 2015  start with 1980438 relations
Sat Jan 17 06:33:45 2015  pruned 58668 relations
Sat Jan 17 06:33:45 2015  memory use: 61.1 MB
Sat Jan 17 06:33:45 2015  distribution of cycle lengths:
Sat Jan 17 06:33:45 2015  1 relations: 24664
Sat Jan 17 06:33:45 2015  2 relations: 31850
Sat Jan 17 06:33:45 2015  3 relations: 33927
Sat Jan 17 06:33:45 2015  4 relations: 32485
Sat Jan 17 06:33:45 2015  5 relations: 30231
Sat Jan 17 06:33:45 2015  6 relations: 27564
Sat Jan 17 06:33:45 2015  7 relations: 24655
Sat Jan 17 06:33:45 2015  8 relations: 21598
Sat Jan 17 06:33:45 2015  9 relations: 18188
Sat Jan 17 06:33:45 2015  10+ relations: 62342
Sat Jan 17 06:33:45 2015  heaviest cycle: 21 relations
Sat Jan 17 06:33:45 2015  RelProcTime: 47
Sat Jan 17 06:33:45 2015  
Sat Jan 17 06:33:45 2015  commencing linear algebra
Sat Jan 17 06:33:45 2015  read 307504 cycles
Sat Jan 17 06:33:46 2015  cycles contain 967625 unique relations
Sat Jan 17 06:33:50 2015  read 967625 relations
Sat Jan 17 06:33:51 2015  using 20 quadratic characters above 67108314
Sat Jan 17 06:33:54 2015  building initial matrix
Sat Jan 17 06:33:59 2015  memory use: 116.2 MB
Sat Jan 17 06:33:59 2015  read 307504 cycles
Sat Jan 17 06:33:59 2015  matrix is 307365 x 307504 (92.3 MB) with weight 27492988 (89.41/col)
Sat Jan 17 06:33:59 2015  sparse part has weight 20802577 (67.65/col)
Sat Jan 17 06:34:00 2015  filtering completed in 2 passes
Sat Jan 17 06:34:00 2015  matrix is 307228 x 307394 (92.2 MB) with weight 27488225 (89.42/col)
Sat Jan 17 06:34:00 2015  sparse part has weight 20800273 (67.67/col)
Sat Jan 17 06:34:00 2015  matrix starts at (0, 0)
Sat Jan 17 06:34:00 2015  matrix is 307228 x 307394 (92.2 MB) with weight 27488225 (89.42/col)
Sat Jan 17 06:34:00 2015  sparse part has weight 20800273 (67.67/col)
Sat Jan 17 06:34:00 2015  saving the first 48 matrix rows for later
Sat Jan 17 06:34:00 2015  matrix includes 64 packed rows
Sat Jan 17 06:34:00 2015  matrix is 307180 x 307394 (86.7 MB) with weight 21602077 (70.27/col)
Sat Jan 17 06:34:00 2015  sparse part has weight 19655760 (63.94/col)
Sat Jan 17 06:34:00 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 17 06:34:01 2015  commencing Lanczos iteration (8 threads)
Sat Jan 17 06:34:01 2015  memory use: 83.0 MB
Sat Jan 17 06:34:06 2015  linear algebra at 3.9%, ETA 0h 2m
Sat Jan 17 06:36:17 2015  lanczos halted after 4860 iterations (dim = 307178)
Sat Jan 17 06:36:17 2015  recovered 38 nontrivial dependencies
Sat Jan 17 06:36:17 2015  BLanczosTime: 152
Sat Jan 17 06:36:17 2015  
Sat Jan 17 06:36:17 2015  commencing square root phase
Sat Jan 17 06:36:17 2015  reading relations for dependency 1
Sat Jan 17 06:36:17 2015  read 153966 cycles
Sat Jan 17 06:36:18 2015  cycles contain 483544 unique relations
Sat Jan 17 06:36:21 2015  read 483544 relations
Sat Jan 17 06:36:22 2015  multiplying 483544 relations
Sat Jan 17 06:36:31 2015  multiply complete, coefficients have about 15.71 million bits
Sat Jan 17 06:36:31 2015  initial square root is modulo 1059825061
Sat Jan 17 06:36:42 2015  GCD is N, no factor found
Sat Jan 17 06:36:42 2015  reading relations for dependency 2
Sat Jan 17 06:36:42 2015  read 153297 cycles
Sat Jan 17 06:36:42 2015  cycles contain 483216 unique relations
Sat Jan 17 06:36:46 2015  read 483216 relations
Sat Jan 17 06:36:46 2015  multiplying 483216 relations
Sat Jan 17 06:36:55 2015  multiply complete, coefficients have about 15.70 million bits
Sat Jan 17 06:36:55 2015  initial square root is modulo 1042360271
Sat Jan 17 06:37:06 2015  sqrtTime: 49
--
n: 11339575700997171070690690890017178825468508471131068924090184999682781737671731733418650659108995471221043022919247661296627771
m: 10000000000000000000000000000
deg: 5
c5: 7000
c0: -457
skew: 0.58
# Murphy_E = 1.434e-09
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3

yafu v1.34.3

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

164876413195722640590162215489752496252946311000646612199364537999245360894532777378161010940083713464961037403062849<117>

57151585381688782444486369018438201367543346073036307<53>
2884896579763972907869280319541954557778121727186509735826854107<64>

Number: 77727_146
N=164876413195722640590162215489752496252946311000646612199364537999245360894532777378161010940083713464961037403062849
  ( 117 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=57151585381688782444486369018438201367543346073036307
 r2=2884896579763972907869280319541954557778121727186509735826854107
Version: 
Total time: 4.74 hours.
Scaled time: 24.94 units (timescale=5.256).
Factorization parameters were as follows:
n: 164876413195722640590162215489752496252946311000646612199364537999245360894532777378161010940083713464961037403062849
m: 100000000000000000000000000000
deg: 5
c5: 70
c0: -457
skew: 1.46
# Murphy_E = 1.373e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1300000, 3000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 5115835
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 412569 x 412817
Total sieving time: 4.19 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2600000,2600000,26,26,49,49,2.3,2.3,50000
total time: 4.74 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

5349855485512428182826053453436772043416589898406643182383040043969920249733023904058543263795943793724272083691591<115>

1258384952838624631066986448467168731716492756573958369051<58>
4251366383112254204910383181479907766775886111704351785541<58>

01/18/15 06:25:19 v1.34.3, 
01/18/15 06:25:19 v1.34.3, ****************************
01/18/15 06:25:19 v1.34.3, Starting factorization of 5349855485512428182826053453436772043416589898406643182383040043969920249733023904058543263795943793724272083691591
01/18/15 06:25:19 v1.34.3, using pretesting plan: none
01/18/15 06:25:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/18/15 06:25:19 v1.34.3, ****************************
01/18/15 06:25:19 v1.34.3, nfs: commencing nfs on c115: 5349855485512428182826053453436772043416589898406643182383040043969920249733023904058543263795943793724272083691591
01/18/15 06:25:19 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/18/15 06:25:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 06:25:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
[122 lines snipped]
01/18/15 07:53:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 07:53:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 07:54:37 v1.34.3, nfs: commencing msieve filtering
01/18/15 07:55:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 07:55:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
[4 lines snipped]
01/18/15 07:59:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 08:00:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 08:00:56 v1.34.3, nfs: commencing msieve filtering
01/18/15 08:01:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 08:02:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
[4 lines snipped]
01/18/15 08:05:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 08:06:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 08:07:05 v1.34.3, nfs: commencing msieve filtering
01/18/15 08:08:03 v1.34.3, nfs: commencing msieve linear algebra
01/18/15 08:12:37 v1.34.3, nfs: commencing msieve sqrt
01/18/15 08:15:05 v1.34.3, prp58 = 4251366383112254204910383181479907766775886111704351785541
01/18/15 08:15:05 v1.34.3, prp58 = 1258384952838624631066986448467168731716492756573958369051
01/18/15 08:15:05 v1.34.3, NFS elapsed time = 6586.6800 seconds.
01/18/15 08:15:05 v1.34.3, 
01/18/15 08:15:05 v1.34.3, 
01/18/15 08:15:05 v1.34.3, Total factoring time = 6586.6804 seconds
--
Sun Jan 18 07:54:37 2015  
Sun Jan 18 07:54:37 2015  commencing relation filtering
Sun Jan 18 07:54:37 2015  estimated available RAM is 15987.3 MB
Sun Jan 18 07:54:37 2015  commencing duplicate removal, pass 1
Sun Jan 18 07:54:49 2015  found 762705 hash collisions in 4487593 relations
Sun Jan 18 07:54:53 2015  added 183628 free relations
Sun Jan 18 07:54:53 2015  commencing duplicate removal, pass 2
Sun Jan 18 07:54:57 2015  found 652395 duplicates and 4018826 unique relations
Sun Jan 18 07:54:57 2015  memory use: 20.6 MB
Sun Jan 18 07:54:57 2015  reading ideals above 100000
Sun Jan 18 07:54:57 2015  commencing singleton removal, initial pass
Sun Jan 18 07:55:14 2015  memory use: 94.1 MB
Sun Jan 18 07:55:14 2015  reading all ideals from disk
Sun Jan 18 07:55:14 2015  memory use: 133.3 MB
Sun Jan 18 07:55:14 2015  keeping 4783353 ideals with weight <= 200, target excess is 21351
Sun Jan 18 07:55:14 2015  commencing in-memory singleton removal
Sun Jan 18 07:55:14 2015  begin with 4018826 relations and 4783353 unique ideals
Sun Jan 18 07:55:16 2015  reduce to 1301713 relations and 1347047 ideals in 21 passes
Sun Jan 18 07:55:16 2015  max relations containing the same ideal: 95
Sun Jan 18 08:00:56 2015  
Sun Jan 18 08:00:56 2015  commencing relation filtering
Sun Jan 18 08:00:56 2015  estimated available RAM is 15987.3 MB
Sun Jan 18 08:00:56 2015  commencing duplicate removal, pass 1
Sun Jan 18 08:01:10 2015  found 845707 hash collisions in 4919640 relations
Sun Jan 18 08:01:14 2015  added 1291 free relations
Sun Jan 18 08:01:14 2015  commencing duplicate removal, pass 2
Sun Jan 18 08:01:18 2015  found 710759 duplicates and 4210172 unique relations
Sun Jan 18 08:01:18 2015  memory use: 20.6 MB
Sun Jan 18 08:01:18 2015  reading ideals above 100000
Sun Jan 18 08:01:18 2015  commencing singleton removal, initial pass
Sun Jan 18 08:01:37 2015  memory use: 94.1 MB
Sun Jan 18 08:01:37 2015  reading all ideals from disk
Sun Jan 18 08:01:37 2015  memory use: 139.7 MB
Sun Jan 18 08:01:37 2015  keeping 4878078 ideals with weight <= 200, target excess is 22279
Sun Jan 18 08:01:37 2015  commencing in-memory singleton removal
Sun Jan 18 08:01:37 2015  begin with 4210172 relations and 4878078 unique ideals
Sun Jan 18 08:01:38 2015  reduce to 1517627 relations and 1499941 ideals in 15 passes
Sun Jan 18 08:01:38 2015  max relations containing the same ideal: 101
Sun Jan 18 08:07:05 2015  
Sun Jan 18 08:07:05 2015  commencing relation filtering
Sun Jan 18 08:07:05 2015  estimated available RAM is 15987.3 MB
Sun Jan 18 08:07:05 2015  commencing duplicate removal, pass 1
Sun Jan 18 08:07:21 2015  found 912262 hash collisions in 5163260 relations
Sun Jan 18 08:07:24 2015  added 1183 free relations
Sun Jan 18 08:07:24 2015  commencing duplicate removal, pass 2
Sun Jan 18 08:07:28 2015  found 769262 duplicates and 4395181 unique relations
Sun Jan 18 08:07:28 2015  memory use: 22.6 MB
Sun Jan 18 08:07:28 2015  reading ideals above 100000
Sun Jan 18 08:07:28 2015  commencing singleton removal, initial pass
Sun Jan 18 08:07:47 2015  memory use: 94.1 MB
Sun Jan 18 08:07:47 2015  reading all ideals from disk
Sun Jan 18 08:07:47 2015  memory use: 145.9 MB
Sun Jan 18 08:07:47 2015  keeping 4966025 ideals with weight <= 200, target excess is 23277
Sun Jan 18 08:07:48 2015  commencing in-memory singleton removal
Sun Jan 18 08:07:48 2015  begin with 4395181 relations and 4966025 unique ideals
Sun Jan 18 08:07:49 2015  reduce to 1724735 relations and 1639676 ideals in 15 passes
Sun Jan 18 08:07:49 2015  max relations containing the same ideal: 106
Sun Jan 18 08:07:49 2015  removing 209747 relations and 180718 ideals in 29029 cliques
Sun Jan 18 08:07:49 2015  commencing in-memory singleton removal
Sun Jan 18 08:07:49 2015  begin with 1514988 relations and 1639676 unique ideals
Sun Jan 18 08:07:49 2015  reduce to 1495555 relations and 1439079 ideals in 7 passes
Sun Jan 18 08:07:49 2015  max relations containing the same ideal: 97
Sun Jan 18 08:07:50 2015  removing 158869 relations and 129840 ideals in 29029 cliques
Sun Jan 18 08:07:50 2015  commencing in-memory singleton removal
Sun Jan 18 08:07:50 2015  begin with 1336686 relations and 1439079 unique ideals
Sun Jan 18 08:07:50 2015  reduce to 1324615 relations and 1296950 ideals in 7 passes
Sun Jan 18 08:07:50 2015  max relations containing the same ideal: 93
Sun Jan 18 08:07:50 2015  relations with 0 large ideals: 527
Sun Jan 18 08:07:50 2015  relations with 1 large ideals: 140
Sun Jan 18 08:07:50 2015  relations with 2 large ideals: 1943
Sun Jan 18 08:07:50 2015  relations with 3 large ideals: 17888
Sun Jan 18 08:07:50 2015  relations with 4 large ideals: 84342
Sun Jan 18 08:07:50 2015  relations with 5 large ideals: 229094
Sun Jan 18 08:07:50 2015  relations with 6 large ideals: 382379
Sun Jan 18 08:07:50 2015  relations with 7+ large ideals: 608302
Sun Jan 18 08:07:50 2015  commencing 2-way merge
Sun Jan 18 08:07:51 2015  reduce to 816114 relation sets and 788449 unique ideals
Sun Jan 18 08:07:51 2015  commencing full merge
Sun Jan 18 08:07:59 2015  memory use: 102.3 MB
Sun Jan 18 08:07:59 2015  found 414286 cycles, need 410649
Sun Jan 18 08:07:59 2015  weight of 410649 cycles is about 29016296 (70.66/cycle)
Sun Jan 18 08:07:59 2015  distribution of cycle lengths:
Sun Jan 18 08:07:59 2015  1 relations: 38484
Sun Jan 18 08:07:59 2015  2 relations: 44599
Sun Jan 18 08:07:59 2015  3 relations: 45866
Sun Jan 18 08:07:59 2015  4 relations: 42474
Sun Jan 18 08:07:59 2015  5 relations: 38463
Sun Jan 18 08:07:59 2015  6 relations: 33970
Sun Jan 18 08:07:59 2015  7 relations: 29785
Sun Jan 18 08:07:59 2015  8 relations: 25459
Sun Jan 18 08:07:59 2015  9 relations: 21972
Sun Jan 18 08:07:59 2015  10+ relations: 89577
Sun Jan 18 08:07:59 2015  heaviest cycle: 24 relations
Sun Jan 18 08:07:59 2015  commencing cycle optimization
Sun Jan 18 08:08:00 2015  start with 2609153 relations
Sun Jan 18 08:08:02 2015  pruned 72156 relations
Sun Jan 18 08:08:02 2015  memory use: 81.2 MB
Sun Jan 18 08:08:02 2015  distribution of cycle lengths:
Sun Jan 18 08:08:02 2015  1 relations: 38484
Sun Jan 18 08:08:02 2015  2 relations: 45525
Sun Jan 18 08:08:02 2015  3 relations: 47445
Sun Jan 18 08:08:02 2015  4 relations: 43739
Sun Jan 18 08:08:02 2015  5 relations: 39563
Sun Jan 18 08:08:02 2015  6 relations: 34573
Sun Jan 18 08:08:02 2015  7 relations: 30168
Sun Jan 18 08:08:02 2015  8 relations: 25671
Sun Jan 18 08:08:02 2015  9 relations: 21942
Sun Jan 18 08:08:02 2015  10+ relations: 83539
Sun Jan 18 08:08:02 2015  heaviest cycle: 24 relations
Sun Jan 18 08:08:03 2015  RelProcTime: 58
Sun Jan 18 08:08:03 2015  
Sun Jan 18 08:08:03 2015  commencing linear algebra
Sun Jan 18 08:08:03 2015  read 410649 cycles
Sun Jan 18 08:08:03 2015  cycles contain 1299779 unique relations
Sun Jan 18 08:08:09 2015  read 1299779 relations
Sun Jan 18 08:08:10 2015  using 20 quadratic characters above 67107570
Sun Jan 18 08:08:13 2015  building initial matrix
Sun Jan 18 08:08:21 2015  memory use: 158.7 MB
Sun Jan 18 08:08:21 2015  read 410649 cycles
Sun Jan 18 08:08:21 2015  matrix is 410487 x 410649 (123.1 MB) with weight 36618716 (89.17/col)
Sun Jan 18 08:08:21 2015  sparse part has weight 27751579 (67.58/col)
Sun Jan 18 08:08:23 2015  filtering completed in 2 passes
Sun Jan 18 08:08:23 2015  matrix is 410339 x 410512 (123.1 MB) with weight 36613930 (89.19/col)
Sun Jan 18 08:08:23 2015  sparse part has weight 27749837 (67.60/col)
Sun Jan 18 08:08:24 2015  matrix starts at (0, 0)
Sun Jan 18 08:08:24 2015  matrix is 410339 x 410512 (123.1 MB) with weight 36613930 (89.19/col)
Sun Jan 18 08:08:24 2015  sparse part has weight 27749837 (67.60/col)
Sun Jan 18 08:08:24 2015  saving the first 48 matrix rows for later
Sun Jan 18 08:08:24 2015  matrix includes 64 packed rows
Sun Jan 18 08:08:24 2015  matrix is 410291 x 410512 (115.9 MB) with weight 28795458 (70.15/col)
Sun Jan 18 08:08:24 2015  sparse part has weight 26282084 (64.02/col)
Sun Jan 18 08:08:24 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 18 08:08:25 2015  commencing Lanczos iteration (8 threads)
Sun Jan 18 08:08:25 2015  memory use: 111.6 MB
Sun Jan 18 08:08:32 2015  linear algebra at 3.0%, ETA 0h 3m
Sun Jan 18 08:12:37 2015  lanczos halted after 6489 iterations (dim = 410289)
Sun Jan 18 08:12:37 2015  recovered 37 nontrivial dependencies
Sun Jan 18 08:12:37 2015  BLanczosTime: 274
Sun Jan 18 08:12:37 2015  
Sun Jan 18 08:12:37 2015  commencing square root phase
Sun Jan 18 08:12:37 2015  reading relations for dependency 1
Sun Jan 18 08:12:37 2015  read 205716 cycles
Sun Jan 18 08:12:37 2015  cycles contain 649340 unique relations
Sun Jan 18 08:12:42 2015  read 649340 relations
Sun Jan 18 08:12:43 2015  multiplying 649340 relations
Sun Jan 18 08:12:56 2015  multiply complete, coefficients have about 21.25 million bits
Sun Jan 18 08:12:56 2015  initial square root is modulo 1267051
Sun Jan 18 08:13:13 2015  GCD is 1, no factor found
Sun Jan 18 08:13:13 2015  reading relations for dependency 2
Sun Jan 18 08:13:13 2015  read 204552 cycles
Sun Jan 18 08:13:13 2015  cycles contain 648690 unique relations
Sun Jan 18 08:13:18 2015  read 648690 relations
Sun Jan 18 08:13:20 2015  multiplying 648690 relations
Sun Jan 18 08:13:34 2015  multiply complete, coefficients have about 21.23 million bits
Sun Jan 18 08:13:34 2015  initial square root is modulo 1249091
Sun Jan 18 08:13:51 2015  GCD is 1, no factor found
Sun Jan 18 08:13:51 2015  reading relations for dependency 3
Sun Jan 18 08:13:51 2015  read 205429 cycles
Sun Jan 18 08:13:51 2015  cycles contain 650848 unique relations
Sun Jan 18 08:13:56 2015  read 650848 relations
Sun Jan 18 08:13:57 2015  multiplying 650848 relations
Sun Jan 18 08:14:10 2015  multiply complete, coefficients have about 21.30 million bits
Sun Jan 18 08:14:10 2015  initial square root is modulo 1309411
Sun Jan 18 08:14:29 2015  GCD is N, no factor found
Sun Jan 18 08:14:29 2015  reading relations for dependency 4
Sun Jan 18 08:14:29 2015  read 205047 cycles
Sun Jan 18 08:14:30 2015  cycles contain 649576 unique relations
Sun Jan 18 08:14:34 2015  read 649576 relations
Sun Jan 18 08:14:35 2015  multiplying 649576 relations
Sun Jan 18 08:14:48 2015  multiply complete, coefficients have about 21.26 million bits
Sun Jan 18 08:14:48 2015  initial square root is modulo 1274011
Sun Jan 18 08:15:05 2015  sqrtTime: 148
--
n: 5349855485512428182826053453436772043416589898406643182383040043969920249733023904058543263795943793724272083691591
m: 100000000000000000000000000000
deg: 5
c5: 7000
c0: -457
skew: 0.58
# Murphy_E = 9.323e-10
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

yafu v1.34.3

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

677576362396258098090193912578458865921663712482124930581091714713364532627329738635856224064978256719725638876830449553815481378948045080394387<144>

161308740848285932849575655459788307727<39>
4200493778781226079429561400851709401182370627881355134041180451414936182802633513139239619278965155115581<106>

Input number is 677576362396258098090193912578458865921663712482124930581091714713364532627329738635856224064978256719725638876830449553815481378948045080394387 (144 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3730166072
Step 1 took 9121ms
Step 2 took 7564ms
********** Factor found in step 2: 161308740848285932849575655459788307727
Found probable prime factor of 39 digits: 161308740848285932849575655459788307727
Probable prime cofactor 4200493778781226079429561400851709401182370627881355134041180451414936182802633513139239619278965155115581 has 106 digits

104733947389875852227969194822777952811758888087036072152351790858880107795037030223794429482097605997101128968221033267031352862791<132>

61676385832938106562422286628924386417763769<44>
1698120698472298804931492151661951334501130940536571307198973458958298092063125268938239<88>

01/16/15 15:23:59 v1.34.3, 
01/16/15 15:23:59 v1.34.3, ****************************
01/16/15 15:23:59 v1.34.3, Starting factorization of 104733947389875852227969194822777952811758888087036072152351790858880107795037030223794429482097605997101128968221033267031352862791
01/16/15 15:23:59 v1.34.3, using pretesting plan: none
01/16/15 15:23:59 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/16/15 15:23:59 v1.34.3, ****************************
01/16/15 15:23:59 v1.34.3, nfs: commencing nfs on c132: 104733947389875852227969194822777952811758888087036072152351790858880107795037030223794429482097605997101128968221033267031352862791
01/16/15 15:23:59 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/16/15 15:23:59 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 15:24:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
[161 lines snipped]
01/16/15 17:54:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 17:55:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 17:56:04 v1.34.3, nfs: commencing msieve filtering
01/16/15 17:57:47 v1.34.3, nfs: commencing msieve linear algebra
01/16/15 18:03:11 v1.34.3, nfs: commencing msieve sqrt
01/16/15 18:04:25 v1.34.3, prp88 = 1698120698472298804931492151661951334501130940536571307198973458958298092063125268938239
01/16/15 18:04:25 v1.34.3, prp44 = 61676385832938106562422286628924386417763769
01/16/15 18:04:25 v1.34.3, NFS elapsed time = 9625.9720 seconds.
01/16/15 18:04:25 v1.34.3, 
01/16/15 18:04:25 v1.34.3, 
01/16/15 18:04:25 v1.34.3, Total factoring time = 9625.9727 seconds
--
Fri Jan 16 17:56:04 2015  
Fri Jan 16 17:56:04 2015  commencing relation filtering
Fri Jan 16 17:56:04 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 17:56:04 2015  commencing duplicate removal, pass 1
Fri Jan 16 17:56:32 2015  found 1753341 hash collisions in 10076609 relations
Fri Jan 16 17:56:40 2015  added 354744 free relations
Fri Jan 16 17:56:40 2015  commencing duplicate removal, pass 2
Fri Jan 16 17:56:48 2015  found 1463004 duplicates and 8968349 unique relations
Fri Jan 16 17:56:48 2015  memory use: 45.3 MB
Fri Jan 16 17:56:48 2015  reading ideals above 100000
Fri Jan 16 17:56:48 2015  commencing singleton removal, initial pass
Fri Jan 16 17:57:27 2015  memory use: 188.2 MB
Fri Jan 16 17:57:27 2015  reading all ideals from disk
Fri Jan 16 17:57:27 2015  memory use: 304.3 MB
Fri Jan 16 17:57:27 2015  keeping 9484936 ideals with weight <= 200, target excess is 46144
Fri Jan 16 17:57:28 2015  commencing in-memory singleton removal
Fri Jan 16 17:57:28 2015  begin with 8968349 relations and 9484936 unique ideals
Fri Jan 16 17:57:31 2015  reduce to 4018600 relations and 3357003 ideals in 13 passes
Fri Jan 16 17:57:31 2015  max relations containing the same ideal: 118
Fri Jan 16 17:57:32 2015  removing 1103626 relations and 799591 ideals in 304035 cliques
Fri Jan 16 17:57:32 2015  commencing in-memory singleton removal
Fri Jan 16 17:57:32 2015  begin with 2914974 relations and 3357003 unique ideals
Fri Jan 16 17:57:33 2015  reduce to 2699814 relations and 2321846 ideals in 9 passes
Fri Jan 16 17:57:33 2015  max relations containing the same ideal: 92
Fri Jan 16 17:57:34 2015  removing 914421 relations and 610386 ideals in 304035 cliques
Fri Jan 16 17:57:34 2015  commencing in-memory singleton removal
Fri Jan 16 17:57:34 2015  begin with 1785393 relations and 2321846 unique ideals
Fri Jan 16 17:57:34 2015  reduce to 1602624 relations and 1506914 ideals in 9 passes
Fri Jan 16 17:57:34 2015  max relations containing the same ideal: 65
Fri Jan 16 17:57:35 2015  removing 187590 relations and 145408 ideals in 42182 cliques
Fri Jan 16 17:57:35 2015  commencing in-memory singleton removal
Fri Jan 16 17:57:35 2015  begin with 1415034 relations and 1506914 unique ideals
Fri Jan 16 17:57:35 2015  reduce to 1400167 relations and 1346254 ideals in 7 passes
Fri Jan 16 17:57:35 2015  max relations containing the same ideal: 57
Fri Jan 16 17:57:36 2015  relations with 0 large ideals: 1099
Fri Jan 16 17:57:36 2015  relations with 1 large ideals: 685
Fri Jan 16 17:57:36 2015  relations with 2 large ideals: 9897
Fri Jan 16 17:57:36 2015  relations with 3 large ideals: 63137
Fri Jan 16 17:57:36 2015  relations with 4 large ideals: 203288
Fri Jan 16 17:57:36 2015  relations with 5 large ideals: 369810
Fri Jan 16 17:57:36 2015  relations with 6 large ideals: 403792
Fri Jan 16 17:57:36 2015  relations with 7+ large ideals: 348459
Fri Jan 16 17:57:36 2015  commencing 2-way merge
Fri Jan 16 17:57:36 2015  reduce to 881929 relation sets and 828016 unique ideals
Fri Jan 16 17:57:36 2015  commencing full merge
Fri Jan 16 17:57:44 2015  memory use: 105.7 MB
Fri Jan 16 17:57:44 2015  found 457607 cycles, need 450216
Fri Jan 16 17:57:44 2015  weight of 450216 cycles is about 31715833 (70.45/cycle)
Fri Jan 16 17:57:44 2015  distribution of cycle lengths:
Fri Jan 16 17:57:44 2015  1 relations: 31425
Fri Jan 16 17:57:44 2015  2 relations: 43205
Fri Jan 16 17:57:44 2015  3 relations: 48709
Fri Jan 16 17:57:44 2015  4 relations: 48683
Fri Jan 16 17:57:44 2015  5 relations: 47039
Fri Jan 16 17:57:44 2015  6 relations: 43628
Fri Jan 16 17:57:44 2015  7 relations: 39089
Fri Jan 16 17:57:44 2015  8 relations: 33826
Fri Jan 16 17:57:44 2015  9 relations: 28251
Fri Jan 16 17:57:44 2015  10+ relations: 86361
Fri Jan 16 17:57:44 2015  heaviest cycle: 20 relations
Fri Jan 16 17:57:44 2015  commencing cycle optimization
Fri Jan 16 17:57:44 2015  start with 2802015 relations
Fri Jan 16 17:57:47 2015  pruned 83992 relations
Fri Jan 16 17:57:47 2015  memory use: 86.7 MB
Fri Jan 16 17:57:47 2015  distribution of cycle lengths:
Fri Jan 16 17:57:47 2015  1 relations: 31425
Fri Jan 16 17:57:47 2015  2 relations: 44086
Fri Jan 16 17:57:47 2015  3 relations: 50598
Fri Jan 16 17:57:47 2015  4 relations: 50222
Fri Jan 16 17:57:47 2015  5 relations: 48878
Fri Jan 16 17:57:47 2015  6 relations: 44913
Fri Jan 16 17:57:47 2015  7 relations: 40114
Fri Jan 16 17:57:47 2015  8 relations: 34190
Fri Jan 16 17:57:47 2015  9 relations: 28349
Fri Jan 16 17:57:47 2015  10+ relations: 77441
Fri Jan 16 17:57:47 2015  heaviest cycle: 20 relations
Fri Jan 16 17:57:47 2015  RelProcTime: 103
Fri Jan 16 17:57:47 2015  
Fri Jan 16 17:57:47 2015  commencing linear algebra
Fri Jan 16 17:57:47 2015  read 450216 cycles
Fri Jan 16 17:57:48 2015  cycles contain 1366957 unique relations
Fri Jan 16 17:57:57 2015  read 1366957 relations
Fri Jan 16 17:57:58 2015  using 20 quadratic characters above 134209172
Fri Jan 16 17:58:02 2015  building initial matrix
Fri Jan 16 17:58:09 2015  memory use: 168.4 MB
Fri Jan 16 17:58:09 2015  read 450216 cycles
Fri Jan 16 17:58:09 2015  matrix is 450046 x 450216 (134.5 MB) with weight 40279049 (89.47/col)
Fri Jan 16 17:58:09 2015  sparse part has weight 30316792 (67.34/col)
Fri Jan 16 17:58:11 2015  filtering completed in 2 passes
Fri Jan 16 17:58:11 2015  matrix is 449962 x 450138 (134.5 MB) with weight 40275406 (89.47/col)
Fri Jan 16 17:58:11 2015  sparse part has weight 30314906 (67.35/col)
Fri Jan 16 17:58:12 2015  matrix starts at (0, 0)
Fri Jan 16 17:58:12 2015  matrix is 449962 x 450138 (134.5 MB) with weight 40275406 (89.47/col)
Fri Jan 16 17:58:12 2015  sparse part has weight 30314906 (67.35/col)
Fri Jan 16 17:58:12 2015  saving the first 48 matrix rows for later
Fri Jan 16 17:58:12 2015  matrix includes 64 packed rows
Fri Jan 16 17:58:12 2015  matrix is 449914 x 450138 (127.2 MB) with weight 31865252 (70.79/col)
Fri Jan 16 17:58:12 2015  sparse part has weight 28832977 (64.05/col)
Fri Jan 16 17:58:12 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan 16 17:58:13 2015  commencing Lanczos iteration (8 threads)
Fri Jan 16 17:58:13 2015  memory use: 122.3 MB
Fri Jan 16 17:58:21 2015  linear algebra at 2.7%, ETA 0h 4m
Fri Jan 16 18:03:11 2015  lanczos halted after 7115 iterations (dim = 449912)
Fri Jan 16 18:03:11 2015  recovered 39 nontrivial dependencies
Fri Jan 16 18:03:11 2015  BLanczosTime: 324
Fri Jan 16 18:03:11 2015  
Fri Jan 16 18:03:11 2015  commencing square root phase
Fri Jan 16 18:03:11 2015  reading relations for dependency 1
Fri Jan 16 18:03:11 2015  read 224761 cycles
Fri Jan 16 18:03:11 2015  cycles contain 683200 unique relations
Fri Jan 16 18:03:20 2015  read 683200 relations
Fri Jan 16 18:03:21 2015  multiplying 683200 relations
Fri Jan 16 18:03:33 2015  multiply complete, coefficients have about 18.97 million bits
Fri Jan 16 18:03:33 2015  initial square root is modulo 281431
Fri Jan 16 18:03:48 2015  GCD is 1, no factor found
Fri Jan 16 18:03:48 2015  reading relations for dependency 2
Fri Jan 16 18:03:48 2015  read 225327 cycles
Fri Jan 16 18:03:48 2015  cycles contain 684694 unique relations
Fri Jan 16 18:03:56 2015  read 684694 relations
Fri Jan 16 18:03:57 2015  multiplying 684694 relations
Fri Jan 16 18:04:08 2015  multiply complete, coefficients have about 19.01 million bits
Fri Jan 16 18:04:08 2015  initial square root is modulo 289721
Fri Jan 16 18:04:25 2015  sqrtTime: 74
--
n: 104733947389875852227969194822777952811758888087036072152351790858880107795037030223794429482097605997101128968221033267031352862791
m: 5000000000000000000000000000000
deg: 5
c5: 112
c0: -2285
skew: 1.83
# Murphy_E = 6.622e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4

yafu v1.34.3

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

752387357149876405015660703621899277600759318236942528080992403623351436198625635020323054543573056359887788637274149469092803670476981676663<141>

16546357934864880624762956520277964575033191662054047587880210181<65>
45471478382836064446943456070074599825612893624773613086338805952726217192523<77>

01/15/15 00:47:22 v1.34.3, 
01/15/15 00:47:22 v1.34.3, ****************************
01/15/15 00:47:22 v1.34.3, Starting factorization of 752387357149876405015660703621899277600759318236942528080992403623351436198625635020323054543573056359887788637274149469092803670476981676663
01/15/15 00:47:22 v1.34.3, using pretesting plan: none
01/15/15 00:47:22 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/15/15 00:47:22 v1.34.3, ****************************
01/15/15 00:47:22 v1.34.3, nfs: commencing nfs on c141: 752387357149876405015660703621899277600759318236942528080992403623351436198625635020323054543573056359887788637274149469092803670476981676663
01/15/15 00:47:22 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/15/15 00:47:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 00:50:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
[53 lines snipped]
01/15/15 03:54:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 03:57:49 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 04:01:11 v1.34.3, nfs: commencing msieve filtering
01/15/15 04:02:56 v1.34.3, nfs: commencing msieve linear algebra
01/15/15 04:08:13 v1.34.3, nfs: commencing msieve sqrt
01/15/15 04:08:50 v1.34.3, prp65 = 16546357934864880624762956520277964575033191662054047587880210181
01/15/15 04:08:50 v1.34.3, prp77 = 45471478382836064446943456070074599825612893624773613086338805952726217192523
01/15/15 04:08:50 v1.34.3, NFS elapsed time = 12088.0712 seconds.
01/15/15 04:08:50 v1.34.3, 
01/15/15 04:08:50 v1.34.3, 
01/15/15 04:08:50 v1.34.3, Total factoring time = 12088.0824 seconds
--
Thu Jan 15 04:01:11 2015  
Thu Jan 15 04:01:11 2015  commencing relation filtering
Thu Jan 15 04:01:11 2015  estimated available RAM is 15987.3 MB
Thu Jan 15 04:01:11 2015  commencing duplicate removal, pass 1
Thu Jan 15 04:01:38 2015  found 1423339 hash collisions in 10076591 relations
Thu Jan 15 04:01:47 2015  added 359614 free relations
Thu Jan 15 04:01:47 2015  commencing duplicate removal, pass 2
Thu Jan 15 04:01:54 2015  found 1001963 duplicates and 9434242 unique relations
Thu Jan 15 04:01:54 2015  memory use: 41.3 MB
Thu Jan 15 04:01:54 2015  reading ideals above 100000
Thu Jan 15 04:01:54 2015  commencing singleton removal, initial pass
Thu Jan 15 04:02:35 2015  memory use: 188.2 MB
Thu Jan 15 04:02:35 2015  reading all ideals from disk
Thu Jan 15 04:02:35 2015  memory use: 329.8 MB
Thu Jan 15 04:02:35 2015  keeping 9719793 ideals with weight <= 200, target excess is 51096
Thu Jan 15 04:02:36 2015  commencing in-memory singleton removal
Thu Jan 15 04:02:36 2015  begin with 9434242 relations and 9719793 unique ideals
Thu Jan 15 04:02:39 2015  reduce to 4509138 relations and 3674549 ideals in 12 passes
Thu Jan 15 04:02:39 2015  max relations containing the same ideal: 125
Thu Jan 15 04:02:40 2015  removing 1288762 relations and 901103 ideals in 387659 cliques
Thu Jan 15 04:02:40 2015  commencing in-memory singleton removal
Thu Jan 15 04:02:40 2015  begin with 3220376 relations and 3674549 unique ideals
Thu Jan 15 04:02:41 2015  reduce to 2974537 relations and 2502287 ideals in 8 passes
Thu Jan 15 04:02:41 2015  max relations containing the same ideal: 92
Thu Jan 15 04:02:42 2015  removing 1092903 relations and 705244 ideals in 387659 cliques
Thu Jan 15 04:02:42 2015  commencing in-memory singleton removal
Thu Jan 15 04:02:42 2015  begin with 1881634 relations and 2502287 unique ideals
Thu Jan 15 04:02:43 2015  reduce to 1651082 relations and 1537038 ideals in 9 passes
Thu Jan 15 04:02:43 2015  max relations containing the same ideal: 60
Thu Jan 15 04:02:43 2015  removing 233644 relations and 178872 ideals in 54772 cliques
Thu Jan 15 04:02:43 2015  commencing in-memory singleton removal
Thu Jan 15 04:02:43 2015  begin with 1417438 relations and 1537038 unique ideals
Thu Jan 15 04:02:44 2015  reduce to 1389701 relations and 1329485 ideals in 7 passes
Thu Jan 15 04:02:44 2015  max relations containing the same ideal: 54
Thu Jan 15 04:02:44 2015  relations with 0 large ideals: 1117
Thu Jan 15 04:02:44 2015  relations with 1 large ideals: 622
Thu Jan 15 04:02:44 2015  relations with 2 large ideals: 8282
Thu Jan 15 04:02:44 2015  relations with 3 large ideals: 55427
Thu Jan 15 04:02:44 2015  relations with 4 large ideals: 185932
Thu Jan 15 04:02:44 2015  relations with 5 large ideals: 351893
Thu Jan 15 04:02:44 2015  relations with 6 large ideals: 404202
Thu Jan 15 04:02:44 2015  relations with 7+ large ideals: 382226
Thu Jan 15 04:02:44 2015  commencing 2-way merge
Thu Jan 15 04:02:45 2015  reduce to 860125 relation sets and 799909 unique ideals
Thu Jan 15 04:02:45 2015  commencing full merge
Thu Jan 15 04:02:52 2015  memory use: 104.5 MB
Thu Jan 15 04:02:52 2015  found 442732 cycles, need 434109
Thu Jan 15 04:02:53 2015  weight of 434109 cycles is about 30646621 (70.60/cycle)
Thu Jan 15 04:02:53 2015  distribution of cycle lengths:
Thu Jan 15 04:02:53 2015  1 relations: 38391
Thu Jan 15 04:02:53 2015  2 relations: 42150
Thu Jan 15 04:02:53 2015  3 relations: 45139
Thu Jan 15 04:02:53 2015  4 relations: 45277
Thu Jan 15 04:02:53 2015  5 relations: 44874
Thu Jan 15 04:02:53 2015  6 relations: 41275
Thu Jan 15 04:02:53 2015  7 relations: 37255
Thu Jan 15 04:02:53 2015  8 relations: 31840
Thu Jan 15 04:02:53 2015  9 relations: 26612
Thu Jan 15 04:02:53 2015  10+ relations: 81296
Thu Jan 15 04:02:53 2015  heaviest cycle: 20 relations
Thu Jan 15 04:02:53 2015  commencing cycle optimization
Thu Jan 15 04:02:53 2015  start with 2652607 relations
Thu Jan 15 04:02:55 2015  pruned 81274 relations
Thu Jan 15 04:02:55 2015  memory use: 83.7 MB
Thu Jan 15 04:02:55 2015  distribution of cycle lengths:
Thu Jan 15 04:02:55 2015  1 relations: 38391
Thu Jan 15 04:02:55 2015  2 relations: 43041
Thu Jan 15 04:02:55 2015  3 relations: 46803
Thu Jan 15 04:02:55 2015  4 relations: 46773
Thu Jan 15 04:02:55 2015  5 relations: 46781
Thu Jan 15 04:02:55 2015  6 relations: 42542
Thu Jan 15 04:02:55 2015  7 relations: 38266
Thu Jan 15 04:02:55 2015  8 relations: 32228
Thu Jan 15 04:02:55 2015  9 relations: 26704
Thu Jan 15 04:02:55 2015  10+ relations: 72580
Thu Jan 15 04:02:55 2015  heaviest cycle: 19 relations
Thu Jan 15 04:02:56 2015  RelProcTime: 105
Thu Jan 15 04:02:56 2015  
Thu Jan 15 04:02:56 2015  commencing linear algebra
Thu Jan 15 04:02:56 2015  read 434109 cycles
Thu Jan 15 04:02:56 2015  cycles contain 1347660 unique relations
Thu Jan 15 04:03:05 2015  read 1347660 relations
Thu Jan 15 04:03:06 2015  using 20 quadratic characters above 134212110
Thu Jan 15 04:03:10 2015  building initial matrix
Thu Jan 15 04:03:18 2015  memory use: 168.1 MB
Thu Jan 15 04:03:18 2015  read 434109 cycles
Thu Jan 15 04:03:18 2015  matrix is 433931 x 434109 (129.8 MB) with weight 39041822 (89.94/col)
Thu Jan 15 04:03:18 2015  sparse part has weight 29244617 (67.37/col)
Thu Jan 15 04:03:21 2015  filtering completed in 2 passes
Thu Jan 15 04:03:21 2015  matrix is 433800 x 433978 (129.8 MB) with weight 39037288 (89.95/col)
Thu Jan 15 04:03:21 2015  sparse part has weight 29243028 (67.38/col)
Thu Jan 15 04:03:21 2015  matrix starts at (0, 0)
Thu Jan 15 04:03:21 2015  matrix is 433800 x 433978 (129.8 MB) with weight 39037288 (89.95/col)
Thu Jan 15 04:03:21 2015  sparse part has weight 29243028 (67.38/col)
Thu Jan 15 04:03:21 2015  saving the first 48 matrix rows for later
Thu Jan 15 04:03:22 2015  matrix includes 64 packed rows
Thu Jan 15 04:03:22 2015  matrix is 433752 x 433978 (122.8 MB) with weight 30824468 (71.03/col)
Thu Jan 15 04:03:22 2015  sparse part has weight 27851617 (64.18/col)
Thu Jan 15 04:03:22 2015  using block size 65536 for processor cache size 8192 kB
Thu Jan 15 04:03:22 2015  commencing Lanczos iteration (8 threads)
Thu Jan 15 04:03:22 2015  memory use: 118.9 MB
Thu Jan 15 04:03:31 2015  linear algebra at 2.8%, ETA 0h 4m
Thu Jan 15 04:08:12 2015  lanczos halted after 6859 iterations (dim = 433752)
Thu Jan 15 04:08:13 2015  recovered 38 nontrivial dependencies
Thu Jan 15 04:08:13 2015  BLanczosTime: 317
Thu Jan 15 04:08:13 2015  
Thu Jan 15 04:08:13 2015  commencing square root phase
Thu Jan 15 04:08:13 2015  reading relations for dependency 1
Thu Jan 15 04:08:13 2015  read 216598 cycles
Thu Jan 15 04:08:13 2015  cycles contain 672994 unique relations
Thu Jan 15 04:08:22 2015  read 672994 relations
Thu Jan 15 04:08:23 2015  multiplying 672994 relations
Thu Jan 15 04:08:35 2015  multiply complete, coefficients have about 18.65 million bits
Thu Jan 15 04:08:35 2015  initial square root is modulo 227231
Thu Jan 15 04:08:50 2015  sqrtTime: 37
--
n: 752387357149876405015660703621899277600759318236942528080992403623351436198625635020323054543573056359887788637274149469092803670476981676663
m: 10000000000000000000000000000000
deg: 5
c5: 70
c0: -457
skew: 1.46
# Murphy_E = 5.727e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4

yafu v1.34.3

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

90570508766064998571018140322013096370462357469303578859904442620294827637927862934204642795586698387899417788173309863<119>

21419939620614115584185839958321183<35>
4228326987388039942244691604184906880503107496163107404859712143976044245280153091961<85>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:4007769291
Step 1 took 67141ms
Step 2 took 40265ms
********** Factor found in step 2: 21419939620614115584185839958321183
Found probable prime factor of 35 digits: 21419939620614115584185839958321183
Probable prime cofactor 4228326987388039942244691604184906880503107496163107404859712143976044245280153091961 has 85 digits

GMP-ECM 7.0

205426715644149495535393628066758527423856819431023373734262971369605902653639552038749010505823785958591180159175401336703461199<129>

987090355692617999037386114666375303498147<42>
208113385425599076944702677320702337755178887878850527455431868278164482401791517974117<87>

Number: 77727_160
N=205426715644149495535393628066758527423856819431023373734262971369605902653639552038749010505823785958591180159175401336703461199
  ( 129 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=987090355692617999037386114666375303498147
 r2=208113385425599076944702677320702337755178887878850527455431868278164482401791517974117
Version: 
Total time: 8.44 hours.
Scaled time: 43.45 units (timescale=5.147).
Factorization parameters were as follows:
n: 205426715644149495535393628066758527423856819431023373734262971369605902653639552038749010505823785958591180159175401336703461199
m: 100000000000000000000000000000000
deg: 5
c5: 7
c0: -457
skew: 2.31
# Murphy_E = 5.771e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9104807
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 611848 x 612096
Total sieving time: 7.71 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,75000
total time: 8.44 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

17333245663205632049843012742639657363201153596342803614333901906584393272418691806163196222915108560870367<107>

5555474372354494030385633497877794465490141543263<49>
3120029812298376327881659742037356493454594904504653787009<58>

01/09/15 15:12:42 v1.34.3, 
01/09/15 15:12:42 v1.34.3, ****************************
01/09/15 15:12:42 v1.34.3, Starting factorization of 17333245663205632049843012742639657363201153596342803614333901906584393272418691806163196222915108560870367
01/09/15 15:12:42 v1.34.3, using pretesting plan: none
01/09/15 15:12:42 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 15:12:42 v1.34.3, ****************************
01/09/15 15:12:42 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107
01/09/15 15:12:42 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107
01/09/15 15:12:42 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107
01/09/15 15:12:42 v1.34.3, final ECM pretested depth: 0.00
01/09/15 15:12:42 v1.34.3, scheduler: switching to sieve method
01/09/15 15:12:42 v1.34.3, nfs: commencing nfs on c107: 17333245663205632049843012742639657363201153596342803614333901906584393272418691806163196222915108560870367
01/09/15 15:12:42 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 15:12:42 v1.34.3, nfs: setting deadline of 291 seconds
01/09/15 15:18:28 v1.34.3, nfs: completed 54 ranges of size 250 in 345.7220 seconds
01/09/15 15:18:28 v1.34.3, nfs: best poly = # norm 1.404256e-14 alpha -5.104127 e 4.651e-09 rroots 2
01/09/15 15:18:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 15:20:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
[19 lines snipped]
01/09/15 15:54:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 15:56:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 15:58:12 v1.34.3, nfs: commencing msieve filtering
01/09/15 15:58:51 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 16:00:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 16:02:36 v1.34.3, nfs: commencing msieve filtering
01/09/15 16:03:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 16:05:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 16:06:53 v1.34.3, nfs: commencing msieve filtering
01/09/15 16:07:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 16:09:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 16:11:22 v1.34.3, nfs: commencing msieve filtering
01/09/15 16:12:26 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 16:16:38 v1.34.3, nfs: commencing msieve sqrt
01/09/15 16:17:16 v1.34.3, prp58 = 3120029812298376327881659742037356493454594904504653787009
01/09/15 16:17:16 v1.34.3, prp49 = 5555474372354494030385633497877794465490141543263
01/09/15 16:17:16 v1.34.3, NFS elapsed time = 3873.3854 seconds.
01/09/15 16:17:16 v1.34.3, 
01/09/15 16:17:16 v1.34.3, 
01/09/15 16:17:16 v1.34.3, Total factoring time = 3873.4076 seconds
--
Fri Jan  9 15:58:12 2015  
Fri Jan  9 15:58:12 2015  commencing relation filtering
Fri Jan  9 15:58:12 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 15:58:12 2015  commencing duplicate removal, pass 1
Fri Jan  9 15:58:25 2015  found 469804 hash collisions in 4482207 relations
Fri Jan  9 15:58:28 2015  added 158430 free relations
Fri Jan  9 15:58:28 2015  commencing duplicate removal, pass 2
Fri Jan  9 15:58:32 2015  found 256929 duplicates and 4383708 unique relations
Fri Jan  9 15:58:32 2015  memory use: 20.6 MB
Fri Jan  9 15:58:32 2015  reading ideals above 100000
Fri Jan  9 15:58:32 2015  commencing singleton removal, initial pass
Fri Jan  9 15:58:49 2015  memory use: 172.2 MB
Fri Jan  9 15:58:49 2015  reading all ideals from disk
Fri Jan  9 15:58:49 2015  memory use: 142.3 MB
Fri Jan  9 15:58:50 2015  keeping 5485631 ideals with weight <= 200, target excess is 20980
Fri Jan  9 15:58:50 2015  commencing in-memory singleton removal
Fri Jan  9 15:58:50 2015  begin with 4383708 relations and 5485631 unique ideals
Fri Jan  9 15:58:51 2015  reduce to 414 relations and 0 ideals in 24 passes
Fri Jan  9 15:58:51 2015  max relations containing the same ideal: 0
Fri Jan  9 16:02:36 2015  
Fri Jan  9 16:02:36 2015  commencing relation filtering
Fri Jan  9 16:02:36 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 16:02:36 2015  commencing duplicate removal, pass 1
Fri Jan  9 16:02:52 2015  found 564306 hash collisions in 5044135 relations
Fri Jan  9 16:02:55 2015  added 1302 free relations
Fri Jan  9 16:02:55 2015  commencing duplicate removal, pass 2
Fri Jan  9 16:02:58 2015  found 299398 duplicates and 4746039 unique relations
Fri Jan  9 16:02:58 2015  memory use: 20.6 MB
Fri Jan  9 16:02:58 2015  reading ideals above 100000
Fri Jan  9 16:02:58 2015  commencing singleton removal, initial pass
Fri Jan  9 16:03:17 2015  memory use: 172.2 MB
Fri Jan  9 16:03:18 2015  reading all ideals from disk
Fri Jan  9 16:03:18 2015  memory use: 154.1 MB
Fri Jan  9 16:03:18 2015  keeping 5660445 ideals with weight <= 200, target excess is 22533
Fri Jan  9 16:03:18 2015  commencing in-memory singleton removal
Fri Jan  9 16:03:19 2015  begin with 4746039 relations and 5660445 unique ideals
Fri Jan  9 16:03:20 2015  reduce to 1108635 relations and 1220976 ideals in 28 passes
Fri Jan  9 16:03:20 2015  max relations containing the same ideal: 74
Fri Jan  9 16:06:53 2015  
Fri Jan  9 16:06:53 2015  commencing relation filtering
Fri Jan  9 16:06:53 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 16:06:53 2015  commencing duplicate removal, pass 1
Fri Jan  9 16:07:09 2015  found 644242 hash collisions in 5441975 relations
Fri Jan  9 16:07:12 2015  added 982 free relations
Fri Jan  9 16:07:12 2015  commencing duplicate removal, pass 2
Fri Jan  9 16:07:16 2015  found 343486 duplicates and 5099471 unique relations
Fri Jan  9 16:07:16 2015  memory use: 20.6 MB
Fri Jan  9 16:07:16 2015  reading ideals above 100000
Fri Jan  9 16:07:16 2015  commencing singleton removal, initial pass
Fri Jan  9 16:07:37 2015  memory use: 172.2 MB
Fri Jan  9 16:07:38 2015  reading all ideals from disk
Fri Jan  9 16:07:38 2015  memory use: 165.7 MB
Fri Jan  9 16:07:38 2015  keeping 5815255 ideals with weight <= 200, target excess is 24216
Fri Jan  9 16:07:38 2015  commencing in-memory singleton removal
Fri Jan  9 16:07:38 2015  begin with 5099471 relations and 5815255 unique ideals
Fri Jan  9 16:07:40 2015  reduce to 1645091 relations and 1658860 ideals in 21 passes
Fri Jan  9 16:07:40 2015  max relations containing the same ideal: 105
Fri Jan  9 16:11:22 2015  
Fri Jan  9 16:11:22 2015  commencing relation filtering
Fri Jan  9 16:11:22 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 16:11:22 2015  commencing duplicate removal, pass 1
Fri Jan  9 16:11:39 2015  found 727182 hash collisions in 5836722 relations
Fri Jan  9 16:11:43 2015  added 781 free relations
Fri Jan  9 16:11:43 2015  commencing duplicate removal, pass 2
Fri Jan  9 16:11:47 2015  found 389256 duplicates and 5448247 unique relations
Fri Jan  9 16:11:47 2015  memory use: 20.6 MB
Fri Jan  9 16:11:47 2015  reading ideals above 100000
Fri Jan  9 16:11:47 2015  commencing singleton removal, initial pass
Fri Jan  9 16:12:09 2015  memory use: 172.2 MB
Fri Jan  9 16:12:10 2015  reading all ideals from disk
Fri Jan  9 16:12:10 2015  memory use: 177.2 MB
Fri Jan  9 16:12:10 2015  keeping 5955645 ideals with weight <= 200, target excess is 25941
Fri Jan  9 16:12:10 2015  commencing in-memory singleton removal
Fri Jan  9 16:12:10 2015  begin with 5448247 relations and 5955645 unique ideals
Fri Jan  9 16:12:12 2015  reduce to 2135609 relations and 2024908 ideals in 19 passes
Fri Jan  9 16:12:12 2015  max relations containing the same ideal: 107
Fri Jan  9 16:12:13 2015  removing 346898 relations and 306593 ideals in 40305 cliques
Fri Jan  9 16:12:13 2015  commencing in-memory singleton removal
Fri Jan  9 16:12:13 2015  begin with 1788711 relations and 2024908 unique ideals
Fri Jan  9 16:12:13 2015  reduce to 1738978 relations and 1667279 ideals in 10 passes
Fri Jan  9 16:12:13 2015  max relations containing the same ideal: 92
Fri Jan  9 16:12:14 2015  removing 257801 relations and 217496 ideals in 40305 cliques
Fri Jan  9 16:12:14 2015  commencing in-memory singleton removal
Fri Jan  9 16:12:14 2015  begin with 1481177 relations and 1667279 unique ideals
Fri Jan  9 16:12:14 2015  reduce to 1447185 relations and 1414961 ideals in 10 passes
Fri Jan  9 16:12:14 2015  max relations containing the same ideal: 81
Fri Jan  9 16:12:15 2015  relations with 0 large ideals: 508
Fri Jan  9 16:12:15 2015  relations with 1 large ideals: 208
Fri Jan  9 16:12:15 2015  relations with 2 large ideals: 3227
Fri Jan  9 16:12:15 2015  relations with 3 large ideals: 27762
Fri Jan  9 16:12:15 2015  relations with 4 large ideals: 124007
Fri Jan  9 16:12:15 2015  relations with 5 large ideals: 324681
Fri Jan  9 16:12:15 2015  relations with 6 large ideals: 434904
Fri Jan  9 16:12:15 2015  relations with 7+ large ideals: 531888
Fri Jan  9 16:12:15 2015  commencing 2-way merge
Fri Jan  9 16:12:15 2015  reduce to 828575 relation sets and 796351 unique ideals
Fri Jan  9 16:12:15 2015  commencing full merge
Fri Jan  9 16:12:23 2015  memory use: 91.5 MB
Fri Jan  9 16:12:23 2015  found 398905 cycles, need 394551
Fri Jan  9 16:12:23 2015  weight of 394551 cycles is about 27751988 (70.34/cycle)
Fri Jan  9 16:12:23 2015  distribution of cycle lengths:
Fri Jan  9 16:12:23 2015  1 relations: 45048
Fri Jan  9 16:12:23 2015  2 relations: 42162
Fri Jan  9 16:12:23 2015  3 relations: 41465
Fri Jan  9 16:12:23 2015  4 relations: 37516
Fri Jan  9 16:12:23 2015  5 relations: 34334
Fri Jan  9 16:12:23 2015  6 relations: 29636
Fri Jan  9 16:12:23 2015  7 relations: 25826
Fri Jan  9 16:12:23 2015  8 relations: 23203
Fri Jan  9 16:12:23 2015  9 relations: 20141
Fri Jan  9 16:12:23 2015  10+ relations: 95220
Fri Jan  9 16:12:23 2015  heaviest cycle: 25 relations
Fri Jan  9 16:12:23 2015  commencing cycle optimization
Fri Jan  9 16:12:23 2015  start with 2585536 relations
Fri Jan  9 16:12:25 2015  pruned 58385 relations
Fri Jan  9 16:12:25 2015  memory use: 84.1 MB
Fri Jan  9 16:12:25 2015  distribution of cycle lengths:
Fri Jan  9 16:12:25 2015  1 relations: 45048
Fri Jan  9 16:12:25 2015  2 relations: 43055
Fri Jan  9 16:12:25 2015  3 relations: 42744
Fri Jan  9 16:12:25 2015  4 relations: 38307
Fri Jan  9 16:12:25 2015  5 relations: 34964
Fri Jan  9 16:12:25 2015  6 relations: 30173
Fri Jan  9 16:12:25 2015  7 relations: 26152
Fri Jan  9 16:12:25 2015  8 relations: 23301
Fri Jan  9 16:12:25 2015  9 relations: 20146
Fri Jan  9 16:12:25 2015  10+ relations: 90661
Fri Jan  9 16:12:25 2015  heaviest cycle: 25 relations
Fri Jan  9 16:12:26 2015  RelProcTime: 64
Fri Jan  9 16:12:26 2015  
Fri Jan  9 16:12:26 2015  commencing linear algebra
Fri Jan  9 16:12:26 2015  read 394551 cycles
Fri Jan  9 16:12:26 2015  cycles contain 1396683 unique relations
Fri Jan  9 16:12:33 2015  read 1396683 relations
Fri Jan  9 16:12:34 2015  using 20 quadratic characters above 67108314
Fri Jan  9 16:12:38 2015  building initial matrix
Fri Jan  9 16:12:46 2015  memory use: 171.0 MB
Fri Jan  9 16:12:46 2015  read 394551 cycles
Fri Jan  9 16:12:46 2015  matrix is 394375 x 394551 (118.0 MB) with weight 37282564 (94.49/col)
Fri Jan  9 16:12:46 2015  sparse part has weight 26581752 (67.37/col)
Fri Jan  9 16:12:48 2015  filtering completed in 2 passes
Fri Jan  9 16:12:48 2015  matrix is 393748 x 393924 (117.9 MB) with weight 37256139 (94.58/col)
Fri Jan  9 16:12:48 2015  sparse part has weight 26573105 (67.46/col)
Fri Jan  9 16:12:48 2015  matrix starts at (0, 0)
Fri Jan  9 16:12:48 2015  matrix is 393748 x 393924 (117.9 MB) with weight 37256139 (94.58/col)
Fri Jan  9 16:12:48 2015  sparse part has weight 26573105 (67.46/col)
Fri Jan  9 16:12:48 2015  saving the first 48 matrix rows for later
Fri Jan  9 16:12:48 2015  matrix includes 64 packed rows
Fri Jan  9 16:12:48 2015  matrix is 393700 x 393924 (113.7 MB) with weight 29495104 (74.88/col)
Fri Jan  9 16:12:48 2015  sparse part has weight 25862046 (65.65/col)
Fri Jan  9 16:12:48 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 16:12:49 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 16:12:49 2015  memory use: 107.8 MB
Fri Jan  9 16:12:56 2015  linear algebra at 3.1%, ETA 0h 3m
Fri Jan  9 16:16:38 2015  lanczos halted after 6227 iterations (dim = 393694)
Fri Jan  9 16:16:38 2015  recovered 31 nontrivial dependencies
Fri Jan  9 16:16:38 2015  BLanczosTime: 252
Fri Jan  9 16:16:38 2015  
Fri Jan  9 16:16:38 2015  commencing square root phase
Fri Jan  9 16:16:38 2015  reading relations for dependency 1
Fri Jan  9 16:16:38 2015  read 196787 cycles
Fri Jan  9 16:16:39 2015  cycles contain 696532 unique relations
Fri Jan  9 16:16:45 2015  read 696532 relations
Fri Jan  9 16:16:46 2015  multiplying 696532 relations
Fri Jan  9 16:16:58 2015  multiply complete, coefficients have about 28.38 million bits
Fri Jan  9 16:16:58 2015  initial square root is modulo 141101693
Fri Jan  9 16:17:16 2015  sqrtTime: 38
--
n: 17333245663205632049843012742639657363201153596342803614333901906584393272418691806163196222915108560870367
skew: 9036705.11
c0: 84644023696325711565885672672
c1: -405087483388458983255408
c2: -30882371004341930
c3: 2854348507
c4: 468
Y0: -78011409274381259913463445
Y1: 45510882833083
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5

yafu v1.34.3

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

10475220342518754759678243131959193928801723083958741399282926273753123299179625636575399064742398618946950042327372484020425482499872426780828610879533918539<158>

115649427802509445155210758669<30>

90577364208035068478692716476831816720560165883975365929916955404813643784707836917635983673598441439076011662696515485211714231<128>

Input number is 10475220342518754759678243131959193928801723083958741399282926273753123299179625636575399064742398618946950042327372484020425482499872426780828610879533918539 (158 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=473946662
Step 1 took 11611ms
Step 2 took 9760ms
********** Factor found in step 2: 115649427802509445155210758669
Found probable prime factor of 30 digits: 115649427802509445155210758669
Composite cofactor 90577364208035068478692716476831816720560165883975365929916955404813643784707836917635983673598441439076011662696515485211714231 has 128 digits

90577364208035068478692716476831816720560165883975365929916955404813643784707836917635983673598441439076011662696515485211714231<128>

1013028499317065152247454545547749723728549<43>
89412454110716479560028501091507904149381562838510058940978055206440711242637654738219<86>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 90577364208035068478692716476831816720560165883975365929916955404813643784707836917635983673598441439076011662696515485211714231 (128 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=8252222028
Step 1 took 5509ms
********** Factor found in step 1: 1013028499317065152247454545547749723728549
Found probable prime factor of 43 digits: 1013028499317065152247454545547749723728549
Probable prime cofactor 89412454110716479560028501091507904149381562838510058940978055206440711242637654738219 has 86 digits

Core i7-4930K

3416623726838256272732302863490562071102607241527000866748936620350316672100918305776504920918360119769796657472157428764757995052019239099308633629902357<154>

3678051452453541250395975712139171129321<40>
928922221726699142100464541826169929384117583664955626444842477943155461559833025207300520788205395899050424515917<114>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 3416623726838256272732302863490562071102607241527000866748936620350316672100918305776504920918360119769796657472157428764757995052019239099308633629902357 (154 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2272616209
Step 1 took 6633ms
Step 2 took 2669ms
********** Factor found in step 2: 3678051452453541250395975712139171129321
Found probable prime factor of 40 digits: 3678051452453541250395975712139171129321
Probable prime cofactor 928922221726699142100464541826169929384117583664955626444842477943155461559833025207300520788205395899050424515917 has 114 digits

Core i7-4930K

1745105712772529347042581560564871681616946298004675428340807395359249088594527603434717951389797613735562666302402673893214640351205163295309243156692267447<157>

118466884483883843881624426304132379467<39>

14730747080716319223670569217745123752480758640895855799817436644717076222398210672856909165938598528594261764816767941<119>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4141960210
Step 1 took 12406ms
Step 2 took 7156ms
********** Factor found in step 2: 118466884483883843881624426304132379467
Found probable prime factor of 39 digits: 118466884483883843881624426304132379467
Composite cofactor 14730747080716319223670569217745123752480758640895855799817436644717076222398210672856909165938598528594261764816767941 has 119 digits
 

GMP-ECM 7.0

14730747080716319223670569217745123752480758640895855799817436644717076222398210672856909165938598528594261764816767941<119>

7481455208935085326455018319776355458335196595735795007687<58>
1968968157842263190759599145428894393923906310932155127700243<61>

Number: 77727_166
N = 14730747080716319223670569217745123752480758640895855799817436644717076222398210672856909165938598528594261764816767941
factor: 7481455208935085326455018319776355458335196595735795007687
factor: 1968968157842263190759599145428894393923906310932155127700243

135856138020183449356821599031242656659898952727054161638935563465382836996149922349959099258781704713333060856035676189702615376348462006534967<144>

842113401882253980383492177326564787348705041162651<51>
161327604710391644694114004187242749530696638323867565321048594146361107664520033376442784917<93>

Number: 77727_168
N=135856138020183449356821599031242656659898952727054161638935563465382836996149922349959099258781704713333060856035676189702615376348462006534967
  ( 144 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=842113401882253980383492177326564787348705041162651
 r2=161327604710391644694114004187242749530696638323867565321048594146361107664520033376442784917
Version: 
Total time: 28.71 hours.
Scaled time: 146.52 units (timescale=5.103).
Factorization parameters were as follows:
n: 135856138020183449356821599031242656659898952727054161638935563465382836996149922349959099258781704713333060856035676189702615376348462006534967
m: 2000000000000000000000000000000000
deg: 5
c5: 875
c0: -1828
skew: 1.16
# Murphy_E = 1.584e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 6600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11333018
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1085842 x 1086090
Total sieving time: 26.26 hours.
Total relation processing time: 1.06 hours.
Matrix solve time: 1.24 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 28.71 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

7133764335294720598764020488752634611989339912717604819295731598203754183745959190221641538918118954473765896638266927739773<124>

51349219858858951343804306110970257<35>
138926440458159716761057228518106174429495347195165275901581392374345732362600285116351789<90>

Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=2477124240
Step 1 took 60664ms
Step 2 took 51540ms
********** Factor found in step 2: 51349219858858951343804306110970257
Found probable prime factor of 35 digits: 51349219858858951343804306110970257
Probable prime cofactor 138926440458159716761057228518106174429495347195165275901581392374345732362600285116351789 has 90 digits

GMP-ECM 6.4.4

debian 8

230177074491258438121675894053381093717984502233825415186656090475384717368198648270440531882101331911713216488207247023921<123>

4550883525252201342433525238873542769023477<43>
50578546608375889112368981115271605221576245486057228408101474722009681107271373<80>

Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=420553910
Step 1 took 68636ms
Step 2 took 22660ms
********** Factor found in step 2: 4550883525252201342433525238873542769023477
Found probable prime factor of 43 digits: 4550883525252201342433525238873542769023477
Probable prime cofactor 50578546608375889112368981115271605221576245486057228408101474722009681107271373 has 80 digits

GMP-ECM 6.4.4

Debian 8

103760690026670354475763886857678646415829963620438619411161671069521241124944207489107297691607960835065371523236727929731582870473373052941343<144>

13981532082153410403932202621444791571366627497<47>
7421267527549049529597442332961905757840022413559253454061464871072530187344759071561491678243719<97>

Number: 77727_173
N=103760690026670354475763886857678646415829963620438619411161671069521241124944207489107297691607960835065371523236727929731582870473373052941343
  ( 144 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=13981532082153410403932202621444791571366627497
 r2=7421267527549049529597442332961905757840022413559253454061464871072530187344759071561491678243719
Version: 
Total time: 43.76 hours.
Scaled time: 229.67 units (timescale=5.248).
Factorization parameters were as follows:
n: 103760690026670354475763886857678646415829963620438619411161671069521241124944207489107297691607960835065371523236727929731582870473373052941343
m: 20000000000000000000000000000000000
deg: 5
c5: 875
c0: -1828
skew: 1.16
# Murphy_E = 1.004e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3600000, 8900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 16798961
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1334042 x 1334289
Total sieving time: 39.46 hours.
Total relation processing time: 2.18 hours.
Matrix solve time: 2.05 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,52,52,2.4,2.4,100000
total time: 43.76 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.18 BogoMIPS (lpj=3400094)
Total of 12 processors activated (81602.25 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

2290835303010963677328738170861775778136414942272046466734727535535456320834031259596999954726545912930057089404258974660614013<127>

10729310639669548298201965696498438723<38>
213511881605985362910467139904095674215072950814071124400281449173798963174014949913703231<90>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1211403346
Step 1 took 7969ms
Step 2 took 7563ms
********** Factor found in step 2: 10729310639669548298201965696498438723
Found probable prime factor of 38 digits: 10729310639669548298201965696498438723
Probable prime cofactor 

940944478211170146086167218067209213739003685588384752488497660496627531335207179908767387030621227342884489335680734843261475462457452274893543296654104896994887097<165>

6022317146361485104853205493299668124208325633<46>
156242930311244464314705310952116481780149958260918981045693843920440194693460870803404389251974720169135525959006650809<120>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 940944478211170146086167218067209213739003685588384752488497660496627531335207179908767387030621227342884489335680734843261475462457452274893543296654104896994887097 (165 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3694232007
Step 1 took 29406ms
Step 2 took 10060ms
********** Factor found in step 2: 6022317146361485104853205493299668124208325633
Found probable prime factor of 46 digits: 6022317146361485104853205493299668124208325633
Probable prime cofactor 156242930311244464314705310952116481780149958260918981045693843920440194693460870803404389251974720169135525959006650809 has 120 digits

Core i7-4930K

338580421012438875369203387651698375958913018262746887661512613148274291120859489571722307287409040545231297749002195397530554122356725567795097506123658604046747920618139<171>

1073118466494726344281817022327224411912258319015989<52>
315510758209566949506393120355029722293759158057636238821862128757760559286707239064799694141177920916423680498483454351<120>

Number: 77727_179
N=338580421012438875369203387651698375958913018262746887661512613148274291120859489571722307287409040545231297749002195397530554122356725567795097506123658604046747920618139
  ( 171 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=1073118466494726344281817022327224411912258319015989
 r2=315510758209566949506393120355029722293759158057636238821862128757760559286707239064799694141177920916423680498483454351
Version: 
Total time: 58.56 hours.
Scaled time: 307.81 units (timescale=5.256).
Factorization parameters were as follows:
n: 338580421012438875369203387651698375958913018262746887661512613148274291120859489571722307287409040545231297749002195397530554122356725567795097506123658604046747920618139
m: 1000000000000000000000000000000000000
deg: 5
c5: 7
c0: -4570
skew: 3.66
# Murphy_E = 6.887e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2900000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18087103
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1377096 x 1377344
Total sieving time: 55.03 hours.
Total relation processing time: 1.30 hours.
Matrix solve time: 2.15 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000
total time: 58.56 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7-4930K

11749967671575683124214692719994338733199935142992162401374029421768539682905492520829547772061959056786566538381520195759374007371632566876392378032917<152>

371620812682756704991272750738268500951522598266801651801369072996801527593<75>
31618163651147099619067268786751895818434620335875718178730721036420361453069<77>

Number: 77727_181
N=11749967671575683124214692719994338733199935142992162401374029421768539682905492520829547772061959056786566538381520195759374007371632566876392378032917
  ( 152 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=371620812682756704991272750738268500951522598266801651801369072996801527593
 r2=31618163651147099619067268786751895818434620335875718178730721036420361453069
Version: 
Total time: 78.90 hours.
Scaled time: 414.47 units (timescale=5.253).
Factorization parameters were as follows:
n: 11749967671575683124214692719994338733199935142992162401374029421768539682905492520829547772061959056786566538381520195759374007371632566876392378032917
m: 1000000000000000000000000000000000000
deg: 5
c5: 70
c0: -457
skew: 1.46
# Murphy_E = 5.907e-11
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19134729
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1430340 x 1430588
Total sieving time: 74.51 hours.
Total relation processing time: 1.86 hours.
Matrix solve time: 2.45 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 78.90 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7-4930K

14742771820910070482908483333039992758100707332599617732111271606188142186474772893174209062716466227814571290598116472510182807165491457337645662876553522466047<161>

1213258139562909705018013718677777<34>
12151389172811422275636693580118404266734548151605235028272914689272395085554592448452457335261381944724142150116606093870986511<128>

Run 156 out of 281:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2569723630
Step 1 took 13474ms
Step 2 took 4848ms
********** Factor found in step 2: 1213258139562909705018013718677777
Found probable prime factor of 34 digits: 1213258139562909705018013718677777
Probable prime cofactor 12151389172811422275636693580118404266734548151605235028272914689272395085554592448452457335261381944724142150116606093870986511 has 128 digits

GMP-ECM 6.4.4

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

823106767147142208909231790037297908120767517870116975451914923192394705646449720175779734159507378898809794489691534266901330884022661241303594832176520513683552649<165>

30486126305422629806897443299568212903957731176028179<53>
26999388472675012181173737122351641438972045882191290913590981042869810986062345983658061318792989979996458242931<113>

Number: 77727_185
N=823106767147142208909231790037297908120767517870116975451914923192394705646449720175779734159507378898809794489691534266901330884022661241303594832176520513683552649
  ( 165 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=30486126305422629806897443299568212903957731176028179
 r2=26999388472675012181173737122351641438972045882191290913590981042869810986062345983658061318792989979996458242931
Version: 
Total time: 67.14 hours.
Scaled time: 353.00 units (timescale=5.258).
Factorization parameters were as follows:
n: 823106767147142208909231790037297908120767517870116975451914923192394705646449720175779734159507378898809794489691534266901330884022661241303594832176520513683552649
m: 10000000000000000000000000000000000000
deg: 5
c5: 7
c0: -457
skew: 2.31
# Murphy_E = 5.829e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20281554
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1491644 x 1491891
Total sieving time: 62.34 hours.
Total relation processing time: 1.62 hours.
Matrix solve time: 2.73 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 67.14 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368528k/51380224k available (5398k kernel code, 1086460k absent, 925236k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

26243735613911638061557560746388179419999161372723452385012204911229854521141692231515880613825445794247675818828184202334728140196028818658707837828271588401850387<164>

605166631431973580292431211356929460662656517<45>
43366131327850122404442982831675391952033843999491237332460462704005822778765817575528116950672073967120176877042381111<119>

Thu Mar  9 05:41:48 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Mar  9 05:41:48 2017  random seeds: 588bebf3 386bab03
Thu Mar  9 05:41:48 2017  factoring 26243735613911638061557560746388179419999161372723452385012204911229854521141692231515880613825445794247675818828184202334728140196028818658707837828271588401850387 (164 digits)
Thu Mar  9 05:41:49 2017  no P-1/P+1/ECM available, skipping
Thu Mar  9 05:41:49 2017  commencing number field sieve (164-digit input)
Thu Mar  9 05:41:49 2017  R0: -10000000000000000000000000000000000000
Thu Mar  9 05:41:49 2017  R1: 1
Thu Mar  9 05:41:49 2017  A0: -457
Thu Mar  9 05:41:49 2017  A1: 0
Thu Mar  9 05:41:49 2017  A2: 0
Thu Mar  9 05:41:49 2017  A3: 0
Thu Mar  9 05:41:49 2017  A4: 0
Thu Mar  9 05:41:49 2017  A5: 700
Thu Mar  9 05:41:49 2017  skew 0.92, size 1.520e-13, alpha 1.334, combined = 2.763e-11 rroots = 1
Thu Mar  9 05:41:49 2017  
Thu Mar  9 05:41:49 2017  commencing relation filtering
Thu Mar  9 05:41:49 2017  estimated available RAM is 15929.4 MB
Thu Mar  9 05:41:49 2017  commencing duplicate removal, pass 1
Thu Mar  9 05:44:37 2017  found 4204132 hash collisions in 23621952 relations
Thu Mar  9 05:44:56 2017  added 187 free relations
Thu Mar  9 05:44:56 2017  commencing duplicate removal, pass 2
Thu Mar  9 05:45:02 2017  found 4058583 duplicates and 19563556 unique relations
Thu Mar  9 05:45:02 2017  memory use: 106.6 MB
Thu Mar  9 05:45:02 2017  reading ideals above 720000
Thu Mar  9 05:45:02 2017  commencing singleton removal, initial pass
Thu Mar  9 05:46:59 2017  memory use: 689.0 MB
Thu Mar  9 05:46:59 2017  reading all ideals from disk
Thu Mar  9 05:47:00 2017  memory use: 631.0 MB
Thu Mar  9 05:47:00 2017  keeping 21647621 ideals with weight <= 200, target excess is 116460
Thu Mar  9 05:47:01 2017  commencing in-memory singleton removal
Thu Mar  9 05:47:02 2017  begin with 19563556 relations and 21647621 unique ideals
Thu Mar  9 05:47:10 2017  reduce to 8282552 relations and 8125867 ideals in 18 passes
Thu Mar  9 05:47:10 2017  max relations containing the same ideal: 111
Thu Mar  9 05:47:12 2017  removing 191811 relations and 181015 ideals in 10796 cliques
Thu Mar  9 05:47:12 2017  commencing in-memory singleton removal
Thu Mar  9 05:47:13 2017  begin with 8090741 relations and 8125867 unique ideals
Thu Mar  9 05:47:16 2017  reduce to 8086917 relations and 7941017 ideals in 8 passes
Thu Mar  9 05:47:16 2017  max relations containing the same ideal: 108
Thu Mar  9 05:47:18 2017  removing 138729 relations and 127933 ideals in 10796 cliques
Thu Mar  9 05:47:18 2017  commencing in-memory singleton removal
Thu Mar  9 05:47:18 2017  begin with 7948188 relations and 7941017 unique ideals
Thu Mar  9 05:47:21 2017  reduce to 7946107 relations and 7811000 ideals in 7 passes
Thu Mar  9 05:47:21 2017  max relations containing the same ideal: 105
Thu Mar  9 05:47:22 2017  relations with 0 large ideals: 2924
Thu Mar  9 05:47:22 2017  relations with 1 large ideals: 726
Thu Mar  9 05:47:22 2017  relations with 2 large ideals: 14160
Thu Mar  9 05:47:22 2017  relations with 3 large ideals: 118094
Thu Mar  9 05:47:22 2017  relations with 4 large ideals: 530807
Thu Mar  9 05:47:22 2017  relations with 5 large ideals: 1393655
Thu Mar  9 05:47:22 2017  relations with 6 large ideals: 2291121
Thu Mar  9 05:47:22 2017  relations with 7+ large ideals: 3594620
Thu Mar  9 05:47:22 2017  commencing 2-way merge
Thu Mar  9 05:47:26 2017  reduce to 4715588 relation sets and 4580481 unique ideals
Thu Mar  9 05:47:26 2017  commencing full merge
Thu Mar  9 05:48:17 2017  memory use: 549.0 MB
Thu Mar  9 05:48:17 2017  found 2422044 cycles, need 2414681
Thu Mar  9 05:48:17 2017  weight of 2414681 cycles is about 169158316 (70.05/cycle)
Thu Mar  9 05:48:17 2017  distribution of cycle lengths:
Thu Mar  9 05:48:17 2017  1 relations: 348739
Thu Mar  9 05:48:17 2017  2 relations: 329399
Thu Mar  9 05:48:17 2017  3 relations: 301670
Thu Mar  9 05:48:17 2017  4 relations: 257748
Thu Mar  9 05:48:17 2017  5 relations: 218784
Thu Mar  9 05:48:17 2017  6 relations: 176861
Thu Mar  9 05:48:17 2017  7 relations: 147982
Thu Mar  9 05:48:17 2017  8 relations: 119226
Thu Mar  9 05:48:17 2017  9 relations: 96162
Thu Mar  9 05:48:17 2017  10+ relations: 418110
Thu Mar  9 05:48:17 2017  heaviest cycle: 28 relations
Thu Mar  9 05:48:18 2017  commencing cycle optimization
Thu Mar  9 05:48:21 2017  start with 13831123 relations
Thu Mar  9 05:48:34 2017  pruned 305073 relations
Thu Mar  9 05:48:34 2017  memory use: 461.0 MB
Thu Mar  9 05:48:34 2017  distribution of cycle lengths:
Thu Mar  9 05:48:34 2017  1 relations: 348739
Thu Mar  9 05:48:34 2017  2 relations: 336063
Thu Mar  9 05:48:34 2017  3 relations: 311960
Thu Mar  9 05:48:34 2017  4 relations: 262272
Thu Mar  9 05:48:34 2017  5 relations: 222099
Thu Mar  9 05:48:34 2017  6 relations: 177722
Thu Mar  9 05:48:34 2017  7 relations: 147784
Thu Mar  9 05:48:34 2017  8 relations: 117610
Thu Mar  9 05:48:34 2017  9 relations: 93890
Thu Mar  9 05:48:34 2017  10+ relations: 396542
Thu Mar  9 05:48:34 2017  heaviest cycle: 28 relations
Thu Mar  9 05:48:37 2017  RelProcTime: 408
Thu Mar  9 05:48:37 2017  elapsed time 00:06:49
Thu Mar 09 05:48:37 2017 LatSieveTime: 1116.44
Thu Mar 09 05:48:37 2017 -> Running matrix solving step ...
Thu Mar 09 05:48:37 2017 -> ./msieve -s 77727_187/77727_187.dat -l 77727_187/77727_187.log -i 77727_187/77727_187.ini -nf 77727_187/77727_187.fb -t 6 -nc2
Thu Mar  9 05:48:37 2017  
Thu Mar  9 05:48:37 2017  
Thu Mar  9 05:48:37 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Mar  9 05:48:37 2017  random seeds: 84edba8b 88498dfb
Thu Mar  9 05:48:37 2017  factoring 26243735613911638061557560746388179419999161372723452385012204911229854521141692231515880613825445794247675818828184202334728140196028818658707837828271588401850387 (164 digits)
Thu Mar  9 05:48:37 2017  no P-1/P+1/ECM available, skipping
Thu Mar  9 05:48:37 2017  commencing number field sieve (164-digit input)
Thu Mar  9 05:48:37 2017  R0: -10000000000000000000000000000000000000
Thu Mar  9 05:48:37 2017  R1: 1
Thu Mar  9 05:48:37 2017  A0: -457
Thu Mar  9 05:48:37 2017  A1: 0
Thu Mar  9 05:48:37 2017  A2: 0
Thu Mar  9 05:48:37 2017  A3: 0
Thu Mar  9 05:48:37 2017  A4: 0
Thu Mar  9 05:48:37 2017  A5: 700
Thu Mar  9 05:48:37 2017  skew 0.92, size 1.520e-13, alpha 1.334, combined = 2.763e-11 rroots = 1
Thu Mar  9 05:48:37 2017  
Thu Mar  9 05:48:37 2017  commencing linear algebra
Thu Mar  9 05:48:38 2017  read 2414681 cycles
Thu Mar  9 05:48:40 2017  cycles contain 7761552 unique relations
Thu Mar  9 05:49:16 2017  read 7761552 relations
Thu Mar  9 05:49:21 2017  using 20 quadratic characters above 4294917295
Thu Mar  9 05:49:51 2017  building initial matrix
Thu Mar  9 05:50:37 2017  memory use: 932.1 MB
Thu Mar  9 05:50:38 2017  read 2414681 cycles
Thu Mar  9 05:50:38 2017  matrix is 2414504 x 2414681 (725.1 MB) with weight 210766891 (87.29/col)
Thu Mar  9 05:50:38 2017  sparse part has weight 163529699 (67.72/col)
Thu Mar  9 05:50:52 2017  filtering completed in 2 passes
Thu Mar  9 05:50:52 2017  matrix is 2412518 x 2412695 (725.0 MB) with weight 210697272 (87.33/col)
Thu Mar  9 05:50:52 2017  sparse part has weight 163503243 (67.77/col)
Thu Mar  9 05:50:57 2017  matrix starts at (0, 0)
Thu Mar  9 05:50:57 2017  matrix is 2412518 x 2412695 (725.0 MB) with weight 210697272 (87.33/col)
Thu Mar  9 05:50:57 2017  sparse part has weight 163503243 (67.77/col)
Thu Mar  9 05:50:57 2017  saving the first 48 matrix rows for later
Thu Mar  9 05:50:58 2017  matrix includes 64 packed rows
Thu Mar  9 05:50:58 2017  matrix is 2412470 x 2412695 (687.7 MB) with weight 168835483 (69.98/col)
Thu Mar  9 05:50:58 2017  sparse part has weight 156157635 (64.72/col)
Thu Mar  9 05:50:58 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Thu Mar  9 05:51:03 2017  commencing Lanczos iteration (6 threads)
Thu Mar  9 05:51:03 2017  memory use: 557.2 MB
Thu Mar  9 05:51:09 2017  linear algebra at 0.1%, ETA 2h12m
Thu Mar  9 05:51:11 2017  checkpointing every 1050000 dimensions
Thu Mar  9 08:18:26 2017  lanczos halted after 38151 iterations (dim = 2412467)
Thu Mar  9 08:18:28 2017  recovered 38 nontrivial dependencies
Thu Mar  9 08:18:28 2017  BLanczosTime: 8991
Thu Mar  9 08:18:28 2017  elapsed time 02:29:51
Thu Mar 09 08:18:28 2017 -> Running square root step ...
Thu Mar 09 08:18:28 2017 -> ./msieve -s 77727_187/77727_187.dat -l 77727_187/77727_187.log -i 77727_187/77727_187.ini -nf 77727_187/77727_187.fb -t 6 -nc3
Thu Mar  9 08:18:28 2017  
Thu Mar  9 08:18:28 2017  
Thu Mar  9 08:18:28 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Mar  9 08:18:28 2017  random seeds: 7138c8b8 06ae3bff
Thu Mar  9 08:18:28 2017  factoring 26243735613911638061557560746388179419999161372723452385012204911229854521141692231515880613825445794247675818828184202334728140196028818658707837828271588401850387 (164 digits)
Thu Mar  9 08:18:29 2017  no P-1/P+1/ECM available, skipping
Thu Mar  9 08:18:29 2017  commencing number field sieve (164-digit input)
Thu Mar  9 08:18:29 2017  R0: -10000000000000000000000000000000000000
Thu Mar  9 08:18:29 2017  R1: 1
Thu Mar  9 08:18:29 2017  A0: -457
Thu Mar  9 08:18:29 2017  A1: 0
Thu Mar  9 08:18:29 2017  A2: 0
Thu Mar  9 08:18:29 2017  A3: 0
Thu Mar  9 08:18:29 2017  A4: 0
Thu Mar  9 08:18:29 2017  A5: 700
Thu Mar  9 08:18:29 2017  skew 0.92, size 1.520e-13, alpha 1.334, combined = 2.763e-11 rroots = 1
Thu Mar  9 08:18:29 2017  
Thu Mar  9 08:18:29 2017  commencing square root phase
Thu Mar  9 08:18:29 2017  reading relations for dependency 1
Thu Mar  9 08:18:29 2017  read 1206448 cycles
Thu Mar  9 08:18:30 2017  cycles contain 3879760 unique relations
Thu Mar  9 08:18:49 2017  read 3879760 relations
Thu Mar  9 08:19:00 2017  multiplying 3879760 relations
Thu Mar  9 08:20:52 2017  multiply complete, coefficients have about 124.60 million bits
Thu Mar  9 08:20:52 2017  initial square root is modulo 877279061
Thu Mar  9 08:23:15 2017  Newton iteration failed to converge
Thu Mar  9 08:23:15 2017  algebraic square root failed
Thu Mar  9 08:23:15 2017  reading relations for dependency 2
Thu Mar  9 08:23:15 2017  read 1205855 cycles
Thu Mar  9 08:23:16 2017  cycles contain 3876868 unique relations
Thu Mar  9 08:23:35 2017  read 3876868 relations
Thu Mar  9 08:23:46 2017  multiplying 3876868 relations
Thu Mar  9 08:25:40 2017  multiply complete, coefficients have about 124.50 million bits
Thu Mar  9 08:25:40 2017  initial square root is modulo 863097721
Thu Mar  9 08:28:04 2017  GCD is N, no factor found
Thu Mar  9 08:28:04 2017  reading relations for dependency 3
Thu Mar  9 08:28:05 2017  read 1207138 cycles
Thu Mar  9 08:28:06 2017  cycles contain 3880810 unique relations
Thu Mar  9 08:28:24 2017  read 3880810 relations
Thu Mar  9 08:28:36 2017  multiplying 3880810 relations
Thu Mar  9 08:30:29 2017  multiply complete, coefficients have about 124.63 million bits
Thu Mar  9 08:30:29 2017  initial square root is modulo 881828401
Thu Mar  9 08:32:53 2017  Newton iteration failed to converge
Thu Mar  9 08:32:53 2017  algebraic square root failed
Thu Mar  9 08:32:53 2017  reading relations for dependency 4
Thu Mar  9 08:32:53 2017  read 1206336 cycles
Thu Mar  9 08:32:54 2017  cycles contain 3880352 unique relations
Thu Mar  9 08:33:13 2017  read 3880352 relations
Thu Mar  9 08:33:25 2017  multiplying 3880352 relations
Thu Mar  9 08:35:17 2017  multiply complete, coefficients have about 124.61 million bits
Thu Mar  9 08:35:17 2017  initial square root is modulo 879890951
Thu Mar  9 08:37:42 2017  sqrtTime: 1153
Thu Mar  9 08:37:42 2017  p45 factor: 605166631431973580292431211356929460662656517
Thu Mar  9 08:37:42 2017  p119 factor: 43366131327850122404442982831675391952033843999491237332460462704005822778765817575528116950672073967120176877042381111
Thu Mar  9 08:37:42 2017  elapsed time 00:19:14

Msieve 1.53 snfs

64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

122727691434073171786641525079257381640880330786237379526999491087930750372697445378633135576932813997367881698700444455977339278707196019408069949898092753226480829027833306166107<180>

1584627287126471586956571121431177510589<40>
77448932270139610699727257743066711143367645536196398203152646271859663497605120388951076431871504323251235184298215666473713417187554691063<140>

 prp40 = 1584627287126471586956571121431177510589 (curve 63 stg2 B1=43000000 sigma=2960699369 thread=4)

196750256347239237354755773083569208275266122087751562044811339906505593998913441684320824203218239202683544492942263490473633877432634750884701644988129786049037630783877123809350889<183>

5085951787670615505175522103616805438491088009566751166924609<61>
38685041573575665643083740372296195711867767168062810896059465126075955174203427097839825201839839962463033915509098154921<122>

196750256347239237354755773083569208275266122087751562044811339906505593998913441684320824203218239202683544492942263490473633877432634750884701644988129786049037630783877123809350889=5085951787670615505175522103616805438491088009566751166924609*38685041573575665643083740372296195711867767168062810896059465126075955174203427097839825201839839962463033915509098154921

cado polynomial
n: 196750256347239237354755773083569208275266122087751562044811339906505593998913441684320824203218239202683544492942263490473633877432634750884701644988129786049037630783877123809350889
skew: 1.83
type: snfs
c0: -2285
c5: 112
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 112*x^5-2285
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12700000
tasks.lim1 = 12700000
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: 5085951787670615505175522103616805438491088009566751166924609 38685041573575665643083740372296195711867767168062810896059465126075955174203427097839825201839839962463033915509098154921
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.38/2.20033
Info:Generate Free Relations: Total cpu/real time for freerel: 102.79/26.4198
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30978659
Info:Lattice Sieving: Average J: 1893.52 for 4541262 special-q, max bucket fill -bkmult 1.0,1s:1.115030
Info:Lattice Sieving: Total time: 1.37313e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 60.38/155.888
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 154.79999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 533.36/537.557
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 470.40000000000003s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 482.28/543.516
Info:Filtering - Merging: Merged matrix has 2569447 rows and total weight 438385940 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 386.73/112.124
Info:Filtering - Merging: Total cpu/real time for replay: 107.89/93.3929
Info:Linear Algebra: Total cpu/real time for bwc: 141434/36184.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 23136.1, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (88064 iterations)
Info:Linear Algebra: Lingen CPU time 579.03, WCT time 167.3
Info:Linear Algebra: Mksol: WCT time 12578.57, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44032 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 96.51/40.9309
Info:Square Root: Total cpu/real time for sqrt: 769.4/242.459
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.5535e+06/115686
Info:root: Cleaning up computation data in /tmp/cado.sy5ekmvz
5085951787670615505175522103616805438491088009566751166924609 38685041573575665643083740372296195711867767168062810896059465126075955174203427097839825201839839962463033915509098154921

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

128580304770849779866762768975119691317316707721236576055249895401037962272965381835188272770879473541076410201768967910689581419276698972387969495266913399666978336857499706624242482679<186>

3352117885547473438289829261822337<34>

38357930466950100052444725300194840660795255961255698370564279252661535266480648854847365555773098922558245717109295450464816986269856274450391466005367<152>

Run 84 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2692756690
Step 1 took 59352ms
Step 2 took 19346ms
********** Factor found in step 2: 3352117885547473438289829261822337
Found probable prime factor of 34 digits: 3352117885547473438289829261822337
Composite cofactor 38357930466950100052444725300194840660795255961255698370564279252661535266480648854847365555773098922558245717109295450464816986269856274450391466005367 has 152 digits

GMP-ECM 6.4.4

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

38357930466950100052444725300194840660795255961255698370564279252661535266480648854847365555773098922558245717109295450464816986269856274450391466005367<152>

422486267105414039730289100768267175495150971<45>
90790952164557479009890008983310153945753805148803413638324129357698076205863121676080590632626880978938677<107>

prp45 = 422486267105414039730289100768267175495150971 (curve 15 stg2 B1=43000000 sigma=4260201036 thread=7)

4011386977740782543614556047698240166980552454219047710967323666943648754176105200201456278008923264889071105340075368387776071374444371908825947088011298287350037372995070744817587632387<187>

14827807451128325820901084737779033<35>

270531364192723922917700857113160303496292567291620221969086031102672974478762059135931058355918541721889512175645623242006161333408603502893574808119739<153>

Input number is 4011386977740782543614556047698240166980552454219047710967323666943648754176105200201456278008923264889071105340075368387776071374444371908825947088011298287350037372995070744817587632387 (187 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1596959883
Step 1 took 15043ms
Step 2 took 11638ms
********** Factor found in step 2: 14827807451128325820901084737779033
Found probable prime factor of 35 digits: 14827807451128325820901084737779033
Composite cofactor 270531364192723922917700857113160303496292567291620221969086031102672974478762059135931058355918541721889512175645623242006161333408603502893574808119739 has 153 digits

270531364192723922917700857113160303496292567291620221969086031102672974478762059135931058355918541721889512175645623242006161333408603502893574808119739<153>

3132260074984984458887386146003998933991977627540733759186986743<64>
86369381122996565318997090929008182115692930690413875219943033185732810830024302246612573<89>

270531364192723922917700857113160303496292567291620221969086031102672974478762059135931058355918541721889512175645623242006161333408603502893574808119739=3132260074984984458887386146003998933991977627540733759186986743*86369381122996565318997090929008182115692930690413875219943033185732810830024302246612573

cado polynomial
n: 270531364192723922917700857113160303496292567291620221969086031102672974478762059135931058355918541721889512175645623242006161333408603502893574808119739
skew: 1.46
type: snfs
c0: -457
c5: 70
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 70*x^5-457
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13400000
tasks.lim1 = 13400000
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: 86369381122996565318997090929008182115692930690413875219943033185732810830024302246612573 3132260074984984458887386146003998933991977627540733759186986743
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 7.89/1.26158
Info:Generate Free Relations: Total cpu/real time for freerel: 118.95/11.1799
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33148396
Info:Lattice Sieving: Average J: 1893.52 for 6292831 special-q, max bucket fill -bkmult 1.0,1s:1.080100
Info:Lattice Sieving: Total time: 2.11363e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 126.48/105.033
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 982.35/550.742
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 466.00000000000006s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 871.06/471.089
Info:Filtering - Merging: Merged matrix has 3209105 rows and total weight 545548406 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1782.58/1544.15
Info:Filtering - Merging: Total cpu/real time for replay: 117.2/91.5806
Info:Linear Algebra: Total cpu/real time for bwc: 254880/56531.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 36211.75, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.09, comm-wait 0.0 (100352 iterations)
Info:Linear Algebra: Lingen CPU time 683.84, WCT time 155.15
Info:Linear Algebra: Mksol: WCT time 19914.01, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.08, comm-wait 0.0 (50176 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 131.27/35.6328
Info:Square Root: Total cpu/real time for sqrt: 1365.16/662.663
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.26168e+06/971615
Info:root: Cleaning up computation data in /tmp/cado.g4gmae86
86369381122996565318997090929008182115692930690413875219943033185732810830024302246612573 3132260074984984458887386146003998933991977627540733759186986743

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

103132468158797532476271388420245476438149594672030933968636112110691582166784212949938491860889882042988741823656946453735333826030309969594857441571765518623789816065864975522601938238123<189>

1482379818818728081363985864196693497411028503693087122959264341507<67>
69572228958824637036846758690746282428994655313995690557721718922214286253988989063166095070988302838533920681183227692089<122>

103132468158797532476271388420245476438149594672030933968636112110691582166784212949938491860889882042988741823656946453735333826030309969594857441571765518623789816065864975522601938238123=1482379818818728081363985864196693497411028503693087122959264341507 69572228958824637036846758690746282428994655313995690557721718922214286253988989063166095070988302838533920681183227692089

cado polynomial
n: 103132468158797532476271388420245476438149594672030933968636112110691582166784212949938491860889882042988741823656946453735333826030309969594857441571765518623789816065864975522601938238123
skew: 3.66
type: snfs
c0: -4570
c5: 7
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 7*x^5-4570
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15600000
tasks.lim1 = 15600000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1482379818818728081363985864196693497411028503693087122959264341507 69572228958824637036846758690746282428994655313995690557721718922214286253988989063166095070988302838533920681183227692089
Info:Square Root: Total cpu/real time for sqrt: 2393.24/498.042
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.69/0.990384
Info:Generate Free Relations: Total cpu/real time for freerel: 226.82/19.3082
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50295025
Info:Lattice Sieving: Average J: 1893.89 for 5688455 special-q, max bucket fill -bkmult 1.0,1s:1.119980
Info:Lattice Sieving: Total time: 2.36358e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 134.57/262.432
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 261.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1070.96/999.604
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 881.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 847.68/951.071
Info:Filtering - Merging: Merged matrix has 3907295 rows and total weight 664960553 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1727.18/380.053
Info:Filtering - Merging: Total cpu/real time for replay: 356.47/471.802
Info:Linear Algebra: Total cpu/real time for bwc: 575065/118390
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 72852.08, iteration CPU time 0.51, COMM 0.01, cpu-wait 0.12, comm-wait 0.0 (122368 iterations)
Info:Linear Algebra: Lingen CPU time 1385.18, WCT time 297.0
Info:Linear Algebra: Mksol: WCT time 45185.32, iteration CPU time 0.56, COMM 0.01, cpu-wait 0.16, comm-wait 0.0 (61440 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 215.1/66.8637
Info:Square Root: Total cpu/real time for sqrt: 2393.24/498.042
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.49111e+06/118963
1482379818818728081363985864196693497411028503693087122959264341507 69572228958824637036846758690746282428994655313995690557721718922214286253988989063166095070988302838533920681183227692089

cado-nfs-3.0.0

3 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

23564666503174430262731388784937925708005011923522317278051029734641821307736597329796265443840181442863638858725526512173318576455217746841770648806773515016826609151218174912496023<182>

123219486792943037920313340332019997464549955800109138646983<60>
191241394656774479707463261900612804335263214688948580617182966188405284253731012589714462160549304037009380567391010088881<123>

Number: n
N=23564666503174430262731388784937925708005011923522317278051029734641821307736597329796265443840181442863638858725526512173318576455217746841770648806773515016826609151218174912496023  ( 182 digits)
SNFS difficulty: 201 digits.
Divisors found:

Fri Sep 24 22:28:47 2021  p60 factor: 123219486792943037920313340332019997464549955800109138646983
Fri Sep 24 22:28:47 2021  p123 factor: 191241394656774479707463261900612804335263214688948580617182966188405284253731012589714462160549304037009380567391010088881
Fri Sep 24 22:28:47 2021  elapsed time 01:54:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 7x10^201-457 = 7(199)27
#
n: 23564666503174430262731388784937925708005011923522317278051029734641821307736597329796265443840181442863638858725526512173318576455217746841770648806773515016826609151218174912496023
m: 10000000000000000000000000000000000000000
deg: 5
c5: 70
c0: -457
skew: 1.46
# Murphy_E = 8.854e-12
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9954848 hash collisions in 62528355 relations (54697069 unique)
Msieve: matrix is 2243379 x 2243604 (778.8 MB)

Sieving start time : 2021/09/24 06:13:27
Sieving end time  : 2021/09/24 20:33:14

Total sieving time: 14hrs 19min 47secs.

Total relation processing time: 1hrs 36min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 41sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119850] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.154026] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.44 BogoMIPS (lpj=12798892)
[    0.150212] smpboot: Total of 16 processors activated (102391.13 BogoMIPS)

646258565155440249882228895590404794973529198614207757829512069888093538090715007611523495290740767195383005701054027725349303409439193459147418577501436189028357037179541747<174>

7865379374174945828144841467560749199343799899051<49>
558128106640181031890759904443851145982029780949769<51>
147215230560128650043949749649406847633019537335620909085085716364255980113<75>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1976856324
Step 1 took 73501ms
Step 2 took 23736ms
********** Factor found in step 2: 7865379374174945828144841467560749199343799899051
Found probable prime factor of 49 digits: 7865379374174945828144841467560749199343799899051
Composite cofactor 82164957901122320775385781915191265266517049757566692623421349328095388602209780453374840479244105521417755144616803115943897 has 125 digits


N=82164957901122320775385781915191265266517049757566692623421349328095388602209780453374840479244105521417755144616803115943897
  ( 125 digits)
Divisors found:
 r1=558128106640181031890759904443851145982029780949769 (pp51)
 r2=147215230560128650043949749649406847633019537335620909085085716364255980113 (pp75)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 64.05 hours.
Scaled time: 136.43 units (timescale=2.130).
Factorization parameters were as follows:
n: 82164957901122320775385781915191265266517049757566692623421349328095388602209780453374840479244105521417755144616803115943897
skew: 345579.33
c0: -7280283779067070718567786308325
c1: 250424702049289644410332067
c2: 370001274566477060311
c3: -4096641827230523
c4: -3046936130
c5: 14472
Y0: -1415245641042928106392086
Y1: 16196502831481
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 600000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [3500000, 7100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 743691 x 743918
Total sieving time: 63.38 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7000000,7000000,27,27,54,54,2.5,2.5,100000
total time: 64.05 hours.
 --------- CPU info (if available) ----------

2940018852886957400939225181341159827358757014739972616007221678902049389503121683872585476947340932095743347270143354602886494084539259085876995610415449328032591<163>

17549466346453151810383108634077009<35>

167527535871833056522383376313411257132145190685600261137342756589680670182826561060173669938139199406750038386242640061857034399<129>

Input number is 2940018852886957400939225181341159827358757014739972616007221678902049389503121683872585476947340932095743347270143354602886494084539259085876995610415449328032591 (163 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2414103358
Step 1 took 10960ms
Step 2 took 8491ms
********** Factor found in step 2: 17549466346453151810383108634077009
Found probable prime factor of 35 digits: 17549466346453151810383108634077009
Composite cofactor 167527535871833056522383376313411257132145190685600261137342756589680670182826561060173669938139199406750038386242640061857034399 has 129 digits

167527535871833056522383376313411257132145190685600261137342756589680670182826561060173669938139199406750038386242640061857034399<129>

214805368947386730685128606165024028178528893285566924839<57>
779903857584054839062986169431127206068198051625481360297999663391844041<72>

Number: 77727_203
N = 167527535871833056522383376313411257132145190685600261137342756589680670182826561060173669938139199406750038386242640061857034399 (129 digits)
Divisors found:
r1=214805368947386730685128606165024028178528893285566924839 (pp57)
r2=779903857584054839062986169431127206068198051625481360297999663391844041 (pp72)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 40.12 hours.
Factorization parameters were as follows:
# Murphy_E = 8.954e-11, selected by Maksym Voznyy
n: 167527535871833056522383376313411257132145190685600261137342756589680670182826561060173669938139199406750038386242640061857034399
Y0: -12047779475763249543537541
Y1: 8879565964657
c0: 883922199648250395925002872163600
c1: 452488777981297444958722880
c2: -14821836687950721516894
c3: 4906131817329873
c4: 14881799372
c5: 660
skew: 1039109.65
type: gnfs
# selected mechanically
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17186348
Relations: 2273642 relations
Pruned matrix : 1319588 x 1319816
Polynomial selection time: 0.00 hours.
Total sieving time: 38.90 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.02 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,8800000,8800000,28,28,53,53,2.5,2.5,100000
total time: 40.12 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

2747386774009422830163967575027306080904967224264511804873369607473394404601448963934936072430848961744876329720480477128456462770142201207068303999288505322296531184782679939998642790933639345121899<199>

89930483947297695388294264051190044615890478735953107677570771799987208110668033759<83>
30550116639197498183219986033001932086077235710595869640853194525974822284405100760226308048733082551344706844201461<116>

Number: n
N=2747386774009422830163967575027306080904967224264511804873369607473394404601448963934936072430848961744876329720480477128456462770142201207068303999288505322296531184782679939998642790933639345121899
  ( 199 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Apr 18 08:13:11 2021  p83 factor: 89930483947297695388294264051190044615890478735953107677570771799987208110668033759
Sun Apr 18 08:13:11 2021  p116 factor: 30550116639197498183219986033001932086077235710595869640853194525974822284405100760226308048733082551344706844201461
Sun Apr 18 08:13:11 2021  elapsed time 02:19:27 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 7x10^205-457 = 7(203)27
#
n: 2747386774009422830163967575027306080904967224264511804873369607473394404601448963934936072430848961744876329720480477128456462770142201207068303999288505322296531184782679939998642790933639345121899
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -457
skew: 2.31
# Murphy_E = 8.606e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 29450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6682476 hash collisions in 50991611 relations (46253525 unique)
Msieve: matrix is 2381771 x 2381996 (835.4 MB)

Sieving start time : 2021/04/17 21:49:29
Sieving end time  : 2021/04/18 05:52:54

Total sieving time: 8hrs 3min 25secs.

Total relation processing time: 1hrs 47min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 30sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

66647624488241454822431686184899552508807007521660477958678472817290298010092354565362277444539655336570503665619346853280015233742740169475387984385413691326287727316004950966390555079501094925259449681<203>

19865695803191742564670717054170847008265043<44>
82567505331766522175938632160204377794605175869767943<53>
40632330316691132313860041330203002363895263763681973304002794556298493554776867205336166848093641742202269<107>

Number: n
N=66647624488241454822431686184899552508807007521660477958678472817290298010092354565362277444539655336570503665619346853280015233742740169475387984385413691326287727316004950966390555079501094925259449681  ( 203 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Aug  5 08:26:13 2020  found factor: 19865695803191742564670717054170847008265043
Wed Aug  5 08:37:54 2020  found factor: 19865695803191742564670717054170847008265043
Wed Aug  5 08:41:47 2020  found factor: 19865695803191742564670717054170847008265043
Wed Aug  5 08:53:28 2020  p44 factor: 19865695803191742564670717054170847008265043
Wed Aug  5 08:53:28 2020  p53 factor: 82567505331766522175938632160204377794605175869767943
Wed Aug  5 08:53:28 2020  p107 factor: 40632330316691132313860041330203002363895263763681973304002794556298493554776867205336166848093641742202269
Wed Aug  5 08:53:28 2020  elapsed time 03:44:35 (Msieve 1.54 - dependency 8)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# N = 7x10^206-457 = 7(204)27
#
n: 66647624488241454822431686184899552508807007521660477958678472817290298010092354565362277444539655336570503665619346853280015233742740169475387984385413691326287727316004950966390555079501094925259449681
m: 100000000000000000000000000000000000000000
deg: 5
c5: 70
c0: -457
skew: 1.46
# Murphy_E = 5.452e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 57000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10976083 hash collisions in 63905331 relations (54831906 unique)
Msieve: matrix is 2798624 x 2798852 (971.4 MB)

Sieving start time: 2020/08/04 03:30:33
Sieving end time  : 2020/08/05 05:07:47

Total sieving time: 25hrs 37min 14secs.

Total relation processing time: 2hrs 55min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 31min 8sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.188728] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004)
[    0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)

52949108249496434003416550903712736481589122260277043105955650928975753118015647579007062014673912312132913554932118702107483346031376947574072520493129570257875251579904364419199957<182>

2270492274552088315625347486811310918495173<43>
23320541031103916359806378009214669565583495895410230317984988534426670020619340064588112233287802327129828875623938320660537168959455385809<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2943142336
Step 1 took 76394ms
Step 2 took 26363ms
********** Factor found in step 2: 2270492274552088315625347486811310918495173
Found probable prime factor of 43 digits: 2270492274552088315625347486811310918495173
Probable prime cofactor 23320541031103916359806378009214669565583495895410230317984988534426670020619340064588112233287802327129828875623938320660537168959455385809 has 140 digits

995727350685222711571410450860921099892969227291431201889671085696372311637336652045884417071797358918108862801722929728585517038100675742007575599410704207105562377309657859524340842163<186>

100022708676504422387569850780082312911868575187466445482912126674186469084551862973513591427134080082383853683086925107239518659701295056837355150237966023645361370637<168>

7011156151733241135892479118288469641<37>
110986676347240501999149281289359453341691<42>
128539949669398396180888709009511991044775707359986459645563144627739713629955620302346527<90>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3731609450
Step 1 took 155070ms
Step 2 took 58049ms
********** Factor found in step 2: 7011156151733241135892479118288469641
Found prime factor of 37 digits: 7011156151733241135892479118288469641

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3:584386306
Step 1 took 98835ms
Step 2 took 42482ms
********** Factor found in step 2: 110986676347240501999149281289359453341691
Found prime factor of 42 digits: 110986676347240501999149281289359453341691
Prime cofactor 128539949669398396180888709009511991044775707359986459645563144627739713629955620302346527 has 90 digits

8102651052905087615798985665199382415498294433488397807666482886259450168953237648882496113325124427521868533925664469135950633320441950195185825881235293891387256135704785000351292529995809<190>

802632297737458885564473882902557771015369566388702415644793275654272081930253856669396374622534069490524414011786039046961001951367621979303925150227642965476481224907448135737<177>

2859060663421082803930798241558720763707797484921913064958988831285137904080894403762795316392751831785327507951502979751888262799331561564789510595282804019483852714616962786184619976571818431407245441<202>

2171257302170671057262726891352602483<37>
1316776533376672628364822484641950888341447287425238391436264123192740155108879304685648285535361894977876462612097546369284706864484101654240554669134478793773824827<166>

Input number is 2859060663421082803930798241558720763707797484921913064958988831285137904080894403762795316392751831785327507951502979751888262799331561564789510595282804019483852714616962786184619976571818431407245441 (202 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1940321912
Step 1 took 16134ms
Step 2 took 11093ms
********** Factor found in step 2: 2171257302170671057262726891352602483
Found probable prime factor of 37 digits: 2171257302170671057262726891352602483
Probable prime cofactor 1316776533376672628364822484641950888341447287425238391436264123192740155108879304685648285535361894977876462612097546369284706864484101654240554669134478793773824827 has 166 digits

49517907797655680765122415342062633079377206199642056266491231793326400826241661538026216195185444564702220524465383445456024560882267637217659500718009663066007371094275022459908179650969489894809815864122861<209>

44011614816045746148924219342939951289<38>

1125109996636670812848098753909718143002111501605378602679050656158644860456303922525439273132745083002883769508422449626536487722691313317623369537298504132461717218907349<172>

Input number is 49517907797655680765122415342062633079377206199642056266491231793326400826241661538026216195185444564702220524465383445456024560882267637217659500718009663066007371094275022459908179650969489894809815864122861 (209 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1958353267
Step 1 took 16193ms
Step 2 took 11086ms
********** Factor found in step 2: 44011614816045746148924219342939951289
Found probable prime factor of 38 digits: 44011614816045746148924219342939951289
Composite cofactor 1125109996636670812848098753909718143002111501605378602679050656158644860456303922525439273132745083002883769508422449626536487722691313317623369537298504132461717218907349 has 172 digits

1125109996636670812848098753909718143002111501605378602679050656158644860456303922525439273132745083002883769508422449626536487722691313317623369537298504132461717218907349<172>

39031948263405088793842568035470766637<38>

28825360933661933977835703308996765922037979947031130235758914117662987664861452692437853657399516442186083274871330944172355807419977<134>

Run 198 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3230811204
Step 1 took 50085ms
Step 2 took 17406ms
********** Factor found in step 2: 39031948263405088793842568035470766637
Found probable prime factor of 38 digits: 39031948263405088793842568035470766637
Composite cofactor 28825360933661933977835703308996765922037979947031130235758914117662987664861452692437853657399516442186083274871330944172355807419977 has 134 digits

GMP-ECM 6.4.4

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

28825360933661933977835703308996765922037979947031130235758914117662987664861452692437853657399516442186083274871330944172355807419977<134>

870790441576226820636595838078019806107395785675018570915891<60>
33102523359678648777495515366356416233117775100309208706302732906995424147<74>

Number: 77727_213
N = 28825360933661933977835703308996765922037979947031130235758914117662987664861452692437853657399516442186083274871330944172355807419977 (134 digits)
Divisors found:
r1=870790441576226820636595838078019806107395785675018570915891 (pp60)
r2=33102523359678648777495515366356416233117775100309208706302732906995424147 (pp74)
Version: Msieve v. 1.51 (SVN 845)
Total time: 141.70 hours.
Factorization parameters were as follows:
# Murphy_E = 4.606e-11, selected by Erik Branger
# expecting poly E from 5.12e-011 to > 5.89e-011
n: 28825360933661933977835703308996765922037979947031130235758914117662987664861452692437853657399516442186083274871330944172355807419977
Y0: -119155976156019530733398070
Y1: 121286005473491
c0: -1611378180469661627583504425563
c1: 526959398826366942208293497
c2: -25773494913321484822647
c3: -6327690013916873
c4: 38991803506
c5: 1200
skew: 715062.27
type: gnfs
# selected mechanically
rlim: 12100000
alim: 12100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20389581
Relations: 3200898 relations
Pruned matrix : 1889339 x 1889565
Polynomial selection time: 0.00 hours.
Total sieving time: 138.37 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.89 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12100000,12100000,28,28,54,54,2.6,2.6,100000
total time: 141.70 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

9356661910372781894485882801963283751034670456758826536601221818276879638278289632246727055515482527541590320280320573225570125898427294783430991683502798979444380711026996235273479370329624109<193>

12595526626865821719799512457812096085010607070027974997212133473921925589326968364576717144331330224499730042643447183548422936511542877757945181179942699129071786393536511915717568272750073291247<197>

3067790880731470229704049767625867427504800450952583162423767013444453385427662106212021876835526119823950542978452387004163613842425474961649033179343880132142589362976860579102062765416434544897069733<202>

98001566457065206670094222949839396035180779478159252273538788989194200306405788344887157540126457164178089161061608778284856962094594137436226262113928970215191460667480845623600233637897<188>

3989922271623206912815994462612459315838923806849826049799284619396224668810671821916016634229772657199215606479985144377525661236572020395160881376728645849866415027592411563554019962577<187>

3281813643116980537679983497293107047504903047701287593480852355273385469750618224974544015534866777769446023104881101841006921791360054945130885102190781856011638797857894705786379241625743013751645394439<205>

5199940296023329279544355070718433102287894499015241<52>
631125254577780029224480966464316580794915589311280686278837027974412379424023037370726376144137560253719898732430852787723383098843343132485699902934479<153>

Number: 77727_220
N = 3281813643116980537679983497293107047504903047701287593480852355273385469750618224974544015534866777769446023104881101841006921791360054945130885102190781856011638797857894705786379241625743013751645394439 (205 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=5199940296023329279544355070718433102287894499015241 (pp52)
r2=631125254577780029224480966464316580794915589311280686278837027974412379424023037370726376144137560253719898732430852787723383098843343132485699902934479 (pp153)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 74.20 hours.
Factorization parameters were as follows:
n: 3281813643116980537679983497293107047504903047701287593480852355273385469750618224974544015534866777769446023104881101841006921791360054945130885102190781856011638797857894705786379241625743013751645394439
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: -457
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30327622
Relations: 7826624 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 39.40 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 7141753 x 7141978
Matrix solve time: 34.38 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 74.20 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

20623180618512645125937209450438035830910193609282495139399258611002343957938420571916044358658189364222587943868959740170228369673843736296800826505034001892578295503117020242910004178112132392471892627859<206>

613296423289326199473602248554826495895624108599<48>
558253263593318815842553415900557405186768109037288371319533406179323<69>
60235697381828163414282768306643159223855068352925268322566240423184742952950904078448767<89>

Number: 77727_221
N = 20623180618512645125937209450438035830910193609282495139399258611002343957938420571916044358658189364222587943868959740170228369673843736296800826505034001892578295503117020242910004178112132392471892627859 (206 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=613296423289326199473602248554826495895624108599 (pp48)
r2=558253263593318815842553415900557405186768109037288371319533406179323 (pp69)
r3=60235697381828163414282768306643159223855068352925268322566240423184742952950904078448767 (pp89)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 100.20 hours.
Factorization parameters were as follows:
n: 20623180618512645125937209450438035830910193609282495139399258611002343957938420571916044358658189364222587943868959740170228369673843736296800826505034001892578295503117020242910004178112132392471892627859
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 70
c0: -457
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Relations: 8947348 relations
Pruned matrix : 7660045 x 7660270
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 46.34 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 52.36 hours.
time per square root: 1.08 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 100.20 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

34044602751198020377061260256019316427201475025986574116755349611270143921652985316232200560461391273805122988266723445648869417862499036609615619869684211466120669385983504955551919279583304650086107<200>

57534336688197743978072551062074896296947823953<47>
130332318253662800725678859571079487707443320126619899796377<60>
4540137859782762275295236505306808866400829909629119511967273298805592769060051334344459254947<94>

Number: 77727_222
N = 34044602751198020377061260256019316427201475025986574116755349611270143921652985316232200560461391273805122988266723445648869417862499036609615619869684211466120669385983504955551919279583304650086107 (200 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=57534336688197743978072551062074896296947823953 (pp47)
r2=130332318253662800725678859571079487707443320126619899796377 (pp60)
r3=4540137859782762275295236505306808866400829909629119511967273298805592769060051334344459254947 (pp94)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 162.08 hours.
Factorization parameters were as follows:
n: 34044602751198020377061260256019316427201475025986574116755349611270143921652985316232200560461391273805122988266723445648869417862499036609615619869684211466120669385983504955551919279583304650086107
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 700
c0: -457
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
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 11173014 relations
Pruned matrix : 9429281 x 9429506
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 58.31 hours.
Total relation processing time: 0.49 hours.
Matrix solve time: 101.45 hours.
time per square root: 1.83 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 162.08 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

10062084058667995346849356188319017452640409849444644435957258433847692736474309812228251177672498966572187839095627432597825512727397611314957840000240311080086613223340551309537789399<185>

2112936598251978899603991025584153535440732048414331805016998627355323913635333635105189965685615527684229756091468567300396046707461202558957908238452710270019250593044652526803180650023<187>

7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777727<226>

20704637866966169994821795210352535483242085428130159<53>
375653891063077444882009269372297331114288368366213756088337972793441994276071591338319575910019550633957958368884006504959291205557749680872654267138839379818381312972552753<174>

Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=1326684426
Step 1 took 262218ms
Step 2 took 139480ms
********** Factor found in step 2: 20704637866966169994821795210352535483242085428130159
Found probable prime factor of 53 digits: 20704637866966169994821795210352535483242085428130159
Probable prime cofactor

293193219111102451097678627134963485799652710030836372434286784109204459304134164368937649264737581002836036952148123167273755475654972091864053645001361744296588700834043<171>

1667868718637105877670026956359<31>

175789146852447982903762631972146491630424078017191701341096998541389433613771013872463170391558892410965771914987927537215709627403865781677<141>

Input number is 293193219111102451097678627134963485799652710030836372434286784109204459304134164368937649264737581002836036952148123167273755475654972091864053645001361744296588700834043 (171 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1375094743
Step 1 took 11698ms
Step 2 took 10137ms
********** Factor found in step 2: 1667868718637105877670026956359
Found probable prime factor of 31 digits: 1667868718637105877670026956359
Composite cofactor 175789146852447982903762631972146491630424078017191701341096998541389433613771013872463170391558892410965771914987927537215709627403865781677 has 141 digits

175789146852447982903762631972146491630424078017191701341096998541389433613771013872463170391558892410965771914987927537215709627403865781677<141>

93147681415165435989004132020140207517479494883619930617426459<62>
1887209044623923778521972671937868914077985116880718448952539883386618512159703<79>

Number: 77727_227
N = 175789146852447982903762631972146491630424078017191701341096998541389433613771013872463170391558892410965771914987927537215709627403865781677 (141 digits)
Divisors found:
r1=93147681415165435989004132020140207517479494883619930617426459 (pp62)
r2=1887209044623923778521972671937868914077985116880718448952539883386618512159703 (pp79)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 228.21 hours.
Factorization parameters were as follows:
# Murphy_E = 2.031e-11, selected by Erik Branger
# expecting poly E from 1.99e-011 to > 2.28e-011
n: 175789146852447982903762631972146491630424078017191701341096998541389433613771013872463170391558892410965771914987927537215709627403865781677
Y0: -1629517724157861378148850057
Y1: 2275755353591449
c0: 203729376792185512054812287772840
c1: 139811569646957216157122100
c2: -33237249113279047155462
c3: 102266954693528723
c4: 130782307960
c5: 15300
skew: 503960.49
type: gnfs
# selected mechanically
rlim: 18500000
alim: 18500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18500000/18500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23103820
Relations: 3694790 relations
Pruned matrix : 2287263 x 2287487
Polynomial selection time: 0.00 hours.
Total sieving time: 225.18 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.58 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,18500000,18500000,28,28,56,56,2.6,2.6,100000
total time: 228.21 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, Msieve

10357255093241435936784033158958959324520947618083211906089765948981928682348903119135302581398897949063711070419285539918651505753227754067782413465388220584851505981554314070515087<182>

119961501944033860193464818384556041711450933424332436635794730725404304551218579610836252144875214310940242402083970036834531464572091558698229207302437081579503721775332383577903788132466303350044783841708358346126297<219>

2043505017420812475444159651620969089<37>

58703796135250971308880600982469006344318058447274581315763453613299176012262754718605923479111469503739744581243765366311188306337530039243834645361785070894023070905624597241085273<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=506749229
Step 1 took 28239ms
Step 2 took 8343ms
********** Factor found in step 2: 2043505017420812475444159651620969089
Found probable prime factor of 37 digits: 2043505017420812475444159651620969089
Composite cofactor 58703796135250971308880600982469006344318058447274581315763453613299176012262754718605923479111469503739744581243765366311188306337530039243834645361785070894023070905624597241085273 ha
s 182 digits

58703796135250971308880600982469006344318058447274581315763453613299176012262754718605923479111469503739744581243765366311188306337530039243834645361785070894023070905624597241085273<182>

1491333383039929323608540019921598694563<40>
39363295157779768923892677460936622243355459391228638424327649865500879951221687062812709922896550294102359354843968356105785231230499970505171<143>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=168161564
Step 1 took 70614ms
Step 2 took 24847ms
********** Factor found in step 2: 1491333383039929323608540019921598694563
Found probable prime factor of 40 digits: 1491333383039929323608540019921598694563

10405006662613961194878455904298778103285971309092313023430739699311615918877390050244529463492265059231267239153139531670732201829010399243772749299361853450350601082416352329677368292572572630225125115688327<209>

324873044037839202151565413<27>

32027916300134924076693274445222165234811269993463873215972665948167054885069627443630924269416225512092868509760725327303440523265083613944447208906687229818832132984975544466073979<182>

Input number is 10405006662613961194878455904298778103285971309092313023430739699311615918877390050244529463492265059231267239153139531670732201829010399243772749299361853450350601082416352329677368292572572630225125115688327 (209 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=642475965
Step 1 took 16205ms
Step 2 took 11080ms
********** Factor found in step 2: 324873044037839202151565413
Found probable prime factor of 27 digits: 324873044037839202151565413
Composite cofactor 32027916300134924076693274445222165234811269993463873215972665948167054885069627443630924269416225512092868509760725327303440523265083613944447208906687229818832132984975544466073979 has 182 digits

103978471952848375459042922917988662716438953617205553845474290734884688571766153593863104606136217116171545217971386820086668208802200417926128147450910681899353906129101880627428235695403023257198632407863319923731253<219>

75082037437697202401665263903608405200793797946176719843532903862503046123432759650293075569029921834146817569210273428819270374341025495711855042716511870385203314416760557065724367210895459177795528309221244727288936641<221>

2487309270152791866819432538673<31>

30186048168061151378318904789651178988555550077068815831608075367420966492019456711211738000146192779888168313737315877121242582464446748777679671876117288001611685363236903220404902328470417<191>

Input number is 75082037437697202401665263903608405200793797946176719843532903862503046123432759650293075569029921834146817569210273428819270374341025495711855042716511870385203314416760557065724367210895459177795528309221244727288936641 (221 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1232242446
Step 1 took 21379ms
Step 2 took 14304ms
********** Factor found in step 2: 2487309270152791866819432538673
Found probable prime factor of 31 digits: 2487309270152791866819432538673
Composite cofactor 30186048168061151378318904789651178988555550077068815831608075367420966492019456711211738000146192779888168313737315877121242582464446748777679671876117288001611685363236903220404902328470417 has 191 digits

146567334216231545754818772550625349551484496297076144788797153665351119125151637435935094457313002996243538248797293418979349550116018035689793164876661474442008897153648334651622647154973800634964185399913316188228706753009<225>

27218686098790669355114574892810827626545487100409<50>
300331543451066716782109337318989274240792397784248057694487<60>
17929537372948958683206156234497843771191866972405037797447031226132541872204364406036234845469566869390539706888623<116>

Number: n
N=146567334216231545754818772550625349551484496297076144788797153665351119125151637435935094457313002996243538248797293418979349550116018035689793164876661474442008897153648334651622647154973800634964185399913316188228706753009  ( 225 digits)
SNFS difficulty: 234 digits.
Divisors found:

Thu Dec 17 06:28:48 2020  found factor: 27218686098790669355114574892810827626545487100409
Thu Dec 17 06:43:11 2020  p50 factor: 27218686098790669355114574892810827626545487100409
Thu Dec 17 06:43:11 2020  p60 factor: 300331543451066716782109337318989274240792397784248057694487
Thu Dec 17 06:43:11 2020  p116 factor: 17929537372948958683206156234497843771191866972405037797447031226132541872204364406036234845469566869390539706888623
Thu Dec 17 06:43:11 2020  elapsed time 23:38:57 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 7x10^234-457 = 7(232)27
#
n: 146567334216231545754818772550625349551484496297076144788797153665351119125151637435935094457313002996243538248797293418979349550116018035689793164876661474442008897153648334651622647154973800634964185399913316188228706753009
m: 1000000000000000000000000000000000000000
deg: 6
c6: 7
c0: -457
skew: 2.01
# Murphy_E = 8.147e-13
type: snfs
lss: 1
rlim: 57000000
alim: 57000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 57000000/57000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved  special-q in [100000, 170900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 24732913 hash collisions in 130465502 relations (108371844 unique)
Msieve: matrix is 6945138 x 6945363 (2438.1 MB)

Sieving start time: 2020/12/12 06:26:42
Sieving end time  : 2020/12/16 07:00:37

Total sieving time: 96hrs 33min 55secs.

Total relation processing time: 22hrs 9min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 43min 10sec.

Prototype def-par.txt line would be:
snfs,234,6,0,0,0,0,0,0,0,0,57000000,57000000,30,30,60,60,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116368] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242000K/16727236K available (14339K kernel code, 2426K rwdata, 4932K rodata, 2720K init, 4956K bss, 485236K reserved, 0K cma-reserved)
[    0.153526] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152037] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

1037935624249951858631112689046433197240676582525511888752529671410438524516254666805550574074102062898249873360216305027946664351610446697222431554480932045782448032632056593409087365740999913229337763<202>

56317992914325276396958036566590364823<38>
18429911481911818677068930183406634931928322412077108825740791087153782807571779920740242295298341353058862141693851748113354684890606435096249716299018356876557781<164>

Input number is 1037935624249951858631112689046433197240676582525511888752529671410438524516254666805550574074102062898249873360216305027946664351610446697222431554480932045782448032632056593409087365740999913229337763 (202 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1482438681
Step 1 took 16123ms
Step 2 took 10835ms
********** Factor found in step 2: 56317992914325276396958036566590364823
Found probable prime factor of 38 digits: 56317992914325276396958036566590364823
Probable prime cofactor 18429911481911818677068930183406634931928322412077108825740791087153782807571779920740242295298341353058862141693851748113354684890606435096249716299018356876557781 has 164 digits

341780348861283804556478101432028019418351393310308461867346835610489220115390408273509660908244487625553821260426024555828504591839603595137629603803535892058293131606058810538629401106857197382379<198>

69446965891496631935378306564439977<35>

4921458331171423806740094899920494730179641215442615639505752282241388155320430138897946386019140826672878506698315804893350597093529004552720469758420586139239027<163>

Input number is 341780348861283804556478101432028019418351393310308461867346835610489220115390408273509660908244487625553821260426024555828504591839603595137629603803535892058293131606058810538629401106857197382379 (198 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4212460543
Step 1 took 16126ms
Step 2 took 10818ms
********** Factor found in step 2: 69446965891496631935378306564439977
Found probable prime factor of 35 digits: 69446965891496631935378306564439977
Composite cofactor 4921458331171423806740094899920494730179641215442615639505752282241388155320430138897946386019140826672878506698315804893350597093529004552720469758420586139239027 has 163 digits

384605675444810351498061124109980902030254400918311751362311597194477224607176205748673333262404429243158544166441265349785184596109186102133016333932818083796132785140859<171>

1121856627248764209611837765228492144457877586162926908179666627872873142423932830709483687440835580892142260500841476427544801927433974056940539600803998135119369686239824089669439079673803325384739559627<205>

3389985710578789953053080956179339315840638143824722691732756217665369494872712477834883811425650004426799128247948876974110398189381933010761424821634561379<157>