404565814188701054760872706256321340846698453980638636035255020950729663343447478688050859702355151<99>

1695778772641719924507116262361629971059<40>
238572283552329116530644795001097412229139123623034647675189<60>

Number: 31119_101
N=404565814188701054760872706256321340846698453980638636035255020950729663343447478688050859702355151
  ( 99 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=1695778772641719924507116262361629971059 (pp40)
 r2=238572283552329116530644795001097412229139123623034647675189 (pp60)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.27 hours.
Scaled time: 0.64 units (timescale=2.375).
Factorization parameters were as follows:
n: 404565814188701054760872706256321340846698453980638636035255020950729663343447478688050859702355151
m: 200000000000000000000
deg: 5
c5: 35
c0: 284
skew: 1.52
type: snfs
rlim: 210000
alim: 210000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 210000/210000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [105000, 165001)
Primes: RFBsize:18807, AFBsize:18956, largePrimes:778541 encountered
Relations: rels:667610, finalFF:45305
Max relations in full relation-set: 28
Initial matrix: 37830 x 45305 with sparse part having weight 1882153.
Pruned matrix : 34902 x 35155 with weight 1133450.
Total sieving time: 0.25 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103,5,0,0,0,0,0,0,0,0,210000,210000,25,25,43,43,2.2,2.2,15000
total time: 0.27 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047212k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673807)
Calibrating delay using timer specific routine.. 5344.58 BogoMIPS (lpj=2672293)
Calibrating delay using timer specific routine.. 5344.06 BogoMIPS (lpj=2672032)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672362)

Core 2 Quad Q6700

16636957813428401663695781342840166369578134284016636957813428401663695781342840166369578134284016637<101>

463851615188877878495082182287898341551647<42>
35866982605318560939327970256787851946906520438716252355171<59>

Number: 31119_102
N=16636957813428401663695781342840166369578134284016636957813428401663695781342840166369578134284016637
  ( 101 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=463851615188877878495082182287898341551647 (pp42)
 r2=35866982605318560939327970256787851946906520438716252355171 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.38 hours.
Scaled time: 0.90 units (timescale=2.388).
Factorization parameters were as follows:
n: 16636957813428401663695781342840166369578134284016636957813428401663695781342840166369578134284016637
m: 200000000000000000000
deg: 5
c5: 175
c0: 142
skew: 0.96
type: snfs
rlim: 210000
alim: 210000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 210000/210000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [105000, 195001)
Primes: RFBsize:18807, AFBsize:18966, largePrimes:830664 encountered
Relations: rels:719934, finalFF:49081
Max relations in full relation-set: 28
Initial matrix: 37839 x 49081 with sparse part having weight 2309008.
Pruned matrix : 35235 x 35488 with weight 1202455.
Total sieving time: 0.36 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103,5,0,0,0,0,0,0,0,0,210000,210000,25,25,43,43,2.2,2.2,15000
total time: 0.38 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047212k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673807)
Calibrating delay using timer specific routine.. 5344.58 BogoMIPS (lpj=2672293)
Calibrating delay using timer specific routine.. 5344.06 BogoMIPS (lpj=2672032)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672362)

Core 2 Quad Q6700

10389672418075066828349813766233229893431917013549229277563750358988553253478769015714223427510457<98>

27460086117550751749087163860396849317232970491<47>
378355420066750802279410132926190270342218870699227<51>

Number: 31119_106
N=10389672418075066828349813766233229893431917013549229277563750358988553253478769015714223427510457
  ( 98 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=27460086117550751749087163860396849317232970491 (pp47)
 r2=378355420066750802279410132926190270342218870699227 (pp51)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.38 hours.
Scaled time: 0.91 units (timescale=2.377).
Factorization parameters were as follows:
n: 10389672418075066828349813766233229893431917013549229277563750358988553253478769015714223427510457
m: 2000000000000000000000
deg: 5
c5: 35
c0: 284
skew: 1.52
type: snfs
rlim: 320000
alim: 320000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 320000/320000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [160000, 240001)
Primes: RFBsize:27608, AFBsize:27871, largePrimes:930525 encountered
Relations: rels:840330, finalFF:73159
Max relations in full relation-set: 28
Initial matrix: 55546 x 73159 with sparse part having weight 3198123.
Pruned matrix : 48492 x 48833 with weight 1561054.
Total sieving time: 0.36 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,108,5,0,0,0,0,0,0,0,0,320000,320000,25,25,44,44,2.2,2.2,20000
total time: 0.38 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047212k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673807)
Calibrating delay using timer specific routine.. 5344.58 BogoMIPS (lpj=2672293)
Calibrating delay using timer specific routine.. 5344.06 BogoMIPS (lpj=2672032)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672362)

Core 2 Quad Q6700

4114316942790966588087621256083623726966051698243828792751114285600512255969760005574311697918503874489<103>

1316470743289074900325002514828393<34>
3125262725179705400651545045523261800581464400858076755340556648062673<70>

SNFS difficulty: 110 digits.
Divisors found:
 r1=1316470743289074900325002514828393
 r2=3125262725179705400651545045523261800581464400858076755340556648062673
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 4114316942790966588087621256083623726966051698243828792751114285600512255969760005574311697918503874489
m: 2000000000000000000000000000
c4: 35
c0: 142
skew: 1.42
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 350001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 52229 x 52471
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110,4,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.40 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

162429286674364702693980728505753820793032235270959101041564195163550081532685326692686733661128493<99>

15752862529566178334162706383037239<35>
10311096562260032607624715134869831170912033798303420229926003387<65>

Number: 31119_119
N=162429286674364702693980728505753820793032235270959101041564195163550081532685326692686733661128493
  ( 99 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=15752862529566178334162706383037239 (pp35)
 r2=10311096562260032607624715134869831170912033798303420229926003387 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.88 hours.
Scaled time: 2.10 units (timescale=2.386).
Factorization parameters were as follows:
n: 162429286674364702693980728505753820793032235270959101041564195163550081532685326692686733661128493
m: 1000000000000000000000000
deg: 5
c5: 14
c0: 355
skew: 1.91
type: snfs
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [300000, 510001)
Primes: RFBsize:49098, AFBsize:49132, largePrimes:1240702 encountered
Relations: rels:1201057, finalFF:133899
Max relations in full relation-set: 28
Initial matrix: 98296 x 133899 with sparse part having weight 6510018.
Pruned matrix : 84104 x 84659 with weight 3043212.
Total sieving time: 0.85 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.2,2.2,30000
total time: 0.88 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.62 BogoMIPS (lpj=2673810)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.36 BogoMIPS (lpj=2672182)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672336)

Core 2 Quad Q6700

35581147356596916060734014065265079727475129640192670336805045603048589526584395617189367471510088303017<104>

442460566136144594370009127235877449<36>
80416538963720077560264003230693394349183018398367267759796577012833<68>

SNFS difficulty: 121 digits.
Divisors found:
 r1=442460566136144594370009127235877449
 r2=80416538963720077560264003230693394349183018398367267759796577012833
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 35581147356596916060734014065265079727475129640192670336805045603048589526584395617189367471510088303017
m: 1000000000000000000000000
deg: 5
c5: 28
c0: 71
skew: 1.20
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 520001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 86191 x 86420
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.4,2.4,50000
total time: 1.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

797720797720797720797720797720797720797720797720797720797720797720797720797720797720797720797720797720797720797720797721<120>

88250508996934421910237303503471<32>
9039277017070896785066121746411140231987821216816813125338426885493714376603735640821751<88>

SNFS difficulty: 123 digits.
Divisors found:
 r1=88250508996934421910237303503471
 r2=9039277017070896785066121746411140231987821216816813125338426885493714376603735640821751
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 797720797720797720797720797720797720797720797720797720797720797720797720797720797720797720797720797720797720797720797721
m: 2000000000000000000000000
deg: 5
c5: 35
c0: 284
skew: 1.52
type: snfs
lss: 1
rlim: 790000
alim: 790000
lpbr: 25
lpba: 25
Factor base limits: 790000/790000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [395000, 595001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 95126 x 95352
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,790000,790000,25,25,46,46,2.4,2.4,50000
total time: 1.20 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

864266413401245958241356446200346615110630641383201062809846268652697374724364416722803201<90>

61034350822028682568383479322877<32>
14160327778718875019797795731954549923748306637725290915413<59>

Thu Nov 13 13:19:25 2008  Msieve v. 1.38
Thu Nov 13 13:19:25 2008  random seeds: 12c89b69 9a9ad8a5
Thu Nov 13 13:19:25 2008  factoring 864266413401245958241356446200346615110630641383201062809846268652697374724364416722803201 (90 digits)
Thu Nov 13 13:19:27 2008  searching for 15-digit factors
Thu Nov 13 13:19:28 2008  commencing quadratic sieve (90-digit input)
Thu Nov 13 13:19:28 2008  using multiplier of 1
Thu Nov 13 13:19:28 2008  using 64kb Pentium 4 sieve core
Thu Nov 13 13:19:28 2008  sieve interval: 18 blocks of size 65536
Thu Nov 13 13:19:28 2008  processing polynomials in batches of 6
Thu Nov 13 13:19:28 2008  using a sieve bound of 1613099 (61176 primes)
Thu Nov 13 13:19:28 2008  using large prime bound of 135500316 (27 bits)
Thu Nov 13 13:19:28 2008  using double large prime bound of 434002769636940 (42-49 bits)
Thu Nov 13 13:19:28 2008  using trial factoring cutoff of 49 bits
Thu Nov 13 13:19:28 2008  polynomial 'A' values have 11 factors
Thu Nov 13 14:59:16 2008  61273 relations (16965 full + 44308 combined from 655697 partial), need 61272
Thu Nov 13 14:59:18 2008  begin with 672662 relations
Thu Nov 13 14:59:19 2008  reduce to 146911 relations in 12 passes
Thu Nov 13 14:59:19 2008  attempting to read 146911 relations
Thu Nov 13 14:59:23 2008  recovered 146911 relations
Thu Nov 13 14:59:23 2008  recovered 118929 polynomials
Thu Nov 13 14:59:23 2008  attempting to build 61273 cycles
Thu Nov 13 14:59:23 2008  found 61273 cycles in 5 passes
Thu Nov 13 14:59:23 2008  distribution of cycle lengths:
Thu Nov 13 14:59:23 2008     length 1 : 16965
Thu Nov 13 14:59:23 2008     length 2 : 12014
Thu Nov 13 14:59:23 2008     length 3 : 10823
Thu Nov 13 14:59:23 2008     length 4 : 8074
Thu Nov 13 14:59:23 2008     length 5 : 5686
Thu Nov 13 14:59:23 2008     length 6 : 3488
Thu Nov 13 14:59:23 2008     length 7 : 1983
Thu Nov 13 14:59:23 2008     length 9+: 2240
Thu Nov 13 14:59:23 2008  largest cycle: 18 relations
Thu Nov 13 14:59:24 2008  matrix is 61176 x 61273 (14.8 MB) with weight 3641345 (59.43/col)
Thu Nov 13 14:59:24 2008  sparse part has weight 3641345 (59.43/col)
Thu Nov 13 14:59:25 2008  filtering completed in 3 passes
Thu Nov 13 14:59:25 2008  matrix is 56752 x 56816 (13.9 MB) with weight 3427126 (60.32/col)
Thu Nov 13 14:59:25 2008  sparse part has weight 3427126 (60.32/col)
Thu Nov 13 14:59:25 2008  saving the first 48 matrix rows for later
Thu Nov 13 14:59:25 2008  matrix is 56704 x 56816 (10.4 MB) with weight 2857107 (50.29/col)
Thu Nov 13 14:59:25 2008  sparse part has weight 2375998 (41.82/col)
Thu Nov 13 14:59:25 2008  matrix includes 64 packed rows
Thu Nov 13 14:59:25 2008  using block size 21845 for processor cache size 512 kB
Thu Nov 13 14:59:26 2008  commencing Lanczos iteration
Thu Nov 13 14:59:26 2008  memory use: 9.3 MB
Thu Nov 13 15:00:03 2008  lanczos halted after 898 iterations (dim = 56700)
Thu Nov 13 15:00:03 2008  recovered 15 nontrivial dependencies
Thu Nov 13 15:00:04 2008  prp32 factor: 61034350822028682568383479322877
Thu Nov 13 15:00:04 2008  prp59 factor: 14160327778718875019797795731954549923748306637725290915413
Thu Nov 13 15:00:04 2008  elapsed time 01:40:39

1710186944596486192909087768450073247282719287930298565670573587384204652187177494824569248967296158149<103>

948155035316114812542048781151683<33>
1803699691397314578497043401639521953896001046423413462657696894175703<70>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2536211752
Step 1 took 10052ms
Step 2 took 8101ms
********** Factor found in step 2: 948155035316114812542048781151683
Found probable prime factor of 33 digits: 948155035316114812542048781151683
Probable prime cofactor 1803699691397314578497043401639521953896001046423413462657696894175703 has 70 digits

GMP-ECM 6.2.1

28001985230957090767152638224044590284972366033375119079078864782444846527652567332098129248206933089336649325148151<116>

260219561015023904073125637011407<33>
107609071054194816684961875836184239251131272684730456080520869226989494139859803993<84>

Number: 31119_126
N=28001985230957090767152638224044590284972366033375119079078864782444846527652567332098129248206933089336649325148151
  ( 116 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=260219561015023904073125637011407 (pp33)
 r2=107609071054194816684961875836184239251131272684730456080520869226989494139859803993 (pp84)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.93 hours.
Scaled time: 5.83 units (timescale=1.991).
Factorization parameters were as follows:
name: 31119_126
n: 28001985230957090767152638224044590284972366033375119079078864782444846527652567332098129248206933089336649325148151
m: 20000000000000000000000000
deg: 5
c5: 35
c0: 284
skew: 1.52
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [475000, 725001)
Primes: RFBsize:74907, AFBsize:74969, largePrimes:2608741 encountered
Relations: rels:2550505, finalFF:242470
Max relations in full relation-set: 28
Initial matrix: 149943 x 242470 with sparse part having weight 18053980.
Pruned matrix : 120623 x 121436 with weight 6350642.
Total sieving time: 2.74 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,950000,950000,26,26,47,47,2.3,2.3,50000
total time: 2.93 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

30503101218601838242281562486678231891968486574615790895383405789704114369495831474670624493780031992478388791673537<116>

1759361168535800593722424780888255616232128643859<49>
17337600581458520378695677885782595812103597467631586975360877316443<68>

Number: 31119_128
N=30503101218601838242281562486678231891968486574615790895383405789704114369495831474670624493780031992478388791673537
  ( 116 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=1759361168535800593722424780888255616232128643859 (pp49)
 r2=17337600581458520378695677885782595812103597467631586975360877316443 (pp68)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.81 hours.
Scaled time: 7.58 units (timescale=1.991).
Factorization parameters were as follows:
name: 31119_128
n: 30503101218601838242281562486678231891968486574615790895383405789704114369495831474670624493780031992478388791673537
m: 20000000000000000000000000
deg: 5
c5: 875
c0: 71
skew: 0.61
type: snfs
lss: 1
rlim: 1010000
alim: 1010000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1010000/1010000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [505000, 855001)
Primes: RFBsize:79251, AFBsize:79577, largePrimes:2837693 encountered
Relations: rels:2869586, finalFF:323357
Max relations in full relation-set: 28
Initial matrix: 158894 x 323357 with sparse part having weight 25840052.
Pruned matrix : 119292 x 120150 with weight 7146188.
Total sieving time: 3.60 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1010000,1010000,26,26,47,47,2.3,2.3,50000
total time: 3.81 hours.
 --------- CPU info (if available) ----------

220523346385730354440563592134768481002827585182170729750542538185950859037739379422434695266187802376393347502462234463<120>

998661353734226691201162008429721923263380151711856352253<57>
220818944841654637670697572402532957665466840826897976978866571<63>

Number: 31119_129
N=220523346385730354440563592134768481002827585182170729750542538185950859037739379422434695266187802376393347502462234463
  ( 120 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=998661353734226691201162008429721923263380151711856352253 (pp57)
 r2=220818944841654637670697572402532957665466840826897976978866571 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.54 hours.
Scaled time: 4.55 units (timescale=1.002).
Factorization parameters were as follows:
name: 31119_129
n: 220523346385730354440563592134768481002827585182170729750542538185950859037739379422434695266187802376393347502462234463
m: 100000000000000000000000000
deg: 5
c5: 14
c0: 355
skew: 1.91
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 985001)
Primes: RFBsize:83548, AFBsize:83662, largePrimes:3295145 encountered
Relations: rels:3630249, finalFF:604759
Max relations in full relation-set: 28
Initial matrix: 167276 x 604759 with sparse part having weight 47640109.
Pruned matrix : 104073 x 104973 with weight 9222543.
Total sieving time: 4.42 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 4.54 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

301701782247574244986826324546458933509775232068798905009039077203737957765388348419560196830800472267<102>

1839668211284057814365396705452504160370049234991<49>
163997932016769164501097073245953747850978841901913637<54>

Thu Nov 13 21:43:44 2008  Msieve v. 1.38
Thu Nov 13 21:43:44 2008  random seeds: 521c9724 bf061dcd
Thu Nov 13 21:43:44 2008  factoring 301701782247574244986826324546458933509775232068798905009039077203737957765388348419560196830800472267 (102 digits)
Thu Nov 13 21:43:45 2008  searching for 15-digit factors
Thu Nov 13 21:43:47 2008  commencing quadratic sieve (102-digit input)
Thu Nov 13 21:43:48 2008  using multiplier of 11
Thu Nov 13 21:43:48 2008  using 64kb Pentium 4 sieve core
Thu Nov 13 21:43:48 2008  sieve interval: 18 blocks of size 65536
Thu Nov 13 21:43:48 2008  processing polynomials in batches of 6
Thu Nov 13 21:43:48 2008  using a sieve bound of 3198409 (114807 primes)
Thu Nov 13 21:43:48 2008  using large prime bound of 479761350 (28 bits)
Thu Nov 13 21:43:48 2008  using double large prime bound of 4225182407156700 (44-52 bits)
Thu Nov 13 21:43:48 2008  using trial factoring cutoff of 52 bits
Thu Nov 13 21:43:48 2008  polynomial 'A' values have 13 factors
Thu Nov 13 21:43:48 2008  restarting with 107 full and 6750 partial relations
Sat Nov 15 03:49:44 2008  114918 relations (27221 full + 87697 combined from 1725189 partial), need 114903
Sat Nov 15 03:49:51 2008  begin with 1752410 relations
Sat Nov 15 03:49:53 2008  reduce to 304089 relations in 12 passes
Sat Nov 15 03:49:53 2008  attempting to read 304089 relations
Sat Nov 15 03:50:04 2008  recovered 304089 relations
Sat Nov 15 03:50:04 2008  recovered 296040 polynomials
Sat Nov 15 03:50:05 2008  attempting to build 114918 cycles
Sat Nov 15 03:50:05 2008  found 114918 cycles in 6 passes
Sat Nov 15 03:50:05 2008  distribution of cycle lengths:
Sat Nov 15 03:50:05 2008     length 1 : 27221
Sat Nov 15 03:50:05 2008     length 2 : 19398
Sat Nov 15 03:50:05 2008     length 3 : 19281
Sat Nov 15 03:50:05 2008     length 4 : 15830
Sat Nov 15 03:50:05 2008     length 5 : 11903
Sat Nov 15 03:50:05 2008     length 6 : 8287
Sat Nov 15 03:50:05 2008     length 7 : 5303
Sat Nov 15 03:50:05 2008     length 9+: 7695
Sat Nov 15 03:50:05 2008  largest cycle: 22 relations
Sat Nov 15 03:50:06 2008  matrix is 114807 x 114918 (33.9 MB) with weight 8425186 (73.31/col)
Sat Nov 15 03:50:06 2008  sparse part has weight 8425186 (73.31/col)
Sat Nov 15 03:50:08 2008  filtering completed in 3 passes
Sat Nov 15 03:50:08 2008  matrix is 110420 x 110484 (32.8 MB) with weight 8161255 (73.87/col)
Sat Nov 15 03:50:08 2008  sparse part has weight 8161255 (73.87/col)
Sat Nov 15 03:50:09 2008  saving the first 48 matrix rows for later
Sat Nov 15 03:50:10 2008  matrix is 110372 x 110484 (23.4 MB) with weight 6834160 (61.86/col)
Sat Nov 15 03:50:10 2008  sparse part has weight 5464671 (49.46/col)
Sat Nov 15 03:50:10 2008  matrix includes 64 packed rows
Sat Nov 15 03:50:10 2008  using block size 21845 for processor cache size 512 kB
Sat Nov 15 03:50:11 2008  commencing Lanczos iteration
Sat Nov 15 03:50:11 2008  memory use: 20.8 MB
Sat Nov 15 03:52:44 2008  lanczos halted after 1746 iterations (dim = 110372)
Sat Nov 15 03:52:45 2008  recovered 18 nontrivial dependencies
Sat Nov 15 03:52:49 2008  prp49 factor: 1839668211284057814365396705452504160370049234991
Sat Nov 15 03:52:49 2008  prp54 factor: 163997932016769164501097073245953747850978841901913637
Sat Nov 15 03:52:49 2008  elapsed time 30:09:05

838848842230222371146179714520208650316197768760776722992556595071439398757036723212975048013<93>

139170240895771901265496748581032926011617269<45>
6027501546530032936138143435351272065230728470777<49>

Thu Nov 13 07:24:34 2008  Msieve v. 1.38
Thu Nov 13 07:24:34 2008  random seeds: c0092a71 e53f1a57
Thu Nov 13 07:24:34 2008  factoring 838848842230222371146179714520208650316197768760776722992556595071439398757036723212975048013 (93 digits)
Thu Nov 13 07:24:35 2008  searching for 15-digit factors
Thu Nov 13 07:24:37 2008  commencing quadratic sieve (93-digit input)
Thu Nov 13 07:24:37 2008  using multiplier of 5
Thu Nov 13 07:24:37 2008  using 64kb Pentium 4 sieve core
Thu Nov 13 07:24:37 2008  sieve interval: 18 blocks of size 65536
Thu Nov 13 07:24:37 2008  processing polynomials in batches of 6
Thu Nov 13 07:24:37 2008  using a sieve bound of 1951709 (72941 primes)
Thu Nov 13 07:24:37 2008  using large prime bound of 243963625 (27 bits)
Thu Nov 13 07:24:37 2008  using double large prime bound of 1250791990793625 (42-51 bits)
Thu Nov 13 07:24:37 2008  using trial factoring cutoff of 51 bits
Thu Nov 13 07:24:37 2008  polynomial 'A' values have 12 factors
Thu Nov 13 12:49:08 2008  73213 relations (17770 full + 55443 combined from 1006720 partial), need 73037
Thu Nov 13 12:49:12 2008  begin with 1024490 relations
Thu Nov 13 12:49:13 2008  reduce to 190804 relations in 10 passes
Thu Nov 13 12:49:13 2008  attempting to read 190804 relations
Thu Nov 13 12:49:19 2008  recovered 190804 relations
Thu Nov 13 12:49:19 2008  recovered 175954 polynomials
Thu Nov 13 12:49:19 2008  attempting to build 73213 cycles
Thu Nov 13 12:49:19 2008  found 73213 cycles in 5 passes
Thu Nov 13 12:49:19 2008  distribution of cycle lengths:
Thu Nov 13 12:49:19 2008     length 1 : 17770
Thu Nov 13 12:49:19 2008     length 2 : 12760
Thu Nov 13 12:49:19 2008     length 3 : 12259
Thu Nov 13 12:49:19 2008     length 4 : 9947
Thu Nov 13 12:49:19 2008     length 5 : 7382
Thu Nov 13 12:49:19 2008     length 6 : 5192
Thu Nov 13 12:49:19 2008     length 7 : 3351
Thu Nov 13 12:49:19 2008     length 9+: 4552
Thu Nov 13 12:49:19 2008  largest cycle: 18 relations
Thu Nov 13 12:49:20 2008  matrix is 72941 x 73213 (18.6 MB) with weight 4591029 (62.71/col)
Thu Nov 13 12:49:20 2008  sparse part has weight 4591029 (62.71/col)
Thu Nov 13 12:49:21 2008  filtering completed in 3 passes
Thu Nov 13 12:49:21 2008  matrix is 69751 x 69815 (17.8 MB) with weight 4396443 (62.97/col)
Thu Nov 13 12:49:21 2008  sparse part has weight 4396443 (62.97/col)
Thu Nov 13 12:49:22 2008  saving the first 48 matrix rows for later
Thu Nov 13 12:49:22 2008  matrix is 69703 x 69815 (10.6 MB) with weight 3385564 (48.49/col)
Thu Nov 13 12:49:22 2008  sparse part has weight 2353687 (33.71/col)
Thu Nov 13 12:49:22 2008  matrix includes 64 packed rows
Thu Nov 13 12:49:22 2008  using block size 21845 for processor cache size 512 kB
Thu Nov 13 12:49:23 2008  commencing Lanczos iteration
Thu Nov 13 12:49:23 2008  memory use: 10.7 MB
Thu Nov 13 12:50:13 2008  lanczos halted after 1104 iterations (dim = 69703)
Thu Nov 13 12:50:13 2008  recovered 18 nontrivial dependencies
Thu Nov 13 12:50:14 2008  prp45 factor: 139170240895771901265496748581032926011617269
Thu Nov 13 12:50:14 2008  prp49 factor: 6027501546530032936138143435351272065230728470777
Thu Nov 13 12:50:14 2008  elapsed time 05:25:40

53511421251636074461001855116575692241530928222593843976577478578526658990658578980492834986144528791340522330374752498443169771<128>

98956011461166233106158495680143819212663834594612911<53>
540759681615055896653927742171404547325622441779817255231447555411397200261<75>

Number: 31119_142
N=53511421251636074461001855116575692241530928222593843976577478578526658990658578980492834986144528791340522330374752498443169771
  ( 128 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=98956011461166233106158495680143819212663834594612911 (pp53)
 r2=540759681615055896653927742171404547325622441779817255231447555411397200261 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 14.53 hours.
Scaled time: 14.69 units (timescale=1.011).
Factorization parameters were as follows:
name: 31119_142
n: 53511421251636074461001855116575692241530928222593843976577478578526658990658578980492834986144528791340522330374752498443169771
m: 20000000000000000000000000000
deg: 5
c5: 175
c0: 142
skew: 0.96
type: snfs
lss: 1
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [870000, 2170001)
Primes: RFBsize:130902, AFBsize:130971, largePrimes:4300379 encountered
Relations: rels:4782240, finalFF:601062
Max relations in full relation-set: 28
Initial matrix: 261939 x 601062 with sparse part having weight 69303084.
Pruned matrix : 195615 x 196988 with weight 27282474.
Total sieving time: 14.12 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1740000,1740000,26,26,48,48,2.3,2.3,100000
total time: 14.53 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

2450580122471983000458653136037293800989706180239195005066168357353833426832036294754567817490052925818651778913076348977560739267<130>

8988041621249801554077485816065408422877758581642567645054836559<64>
272648951321970616039365589773091933223612684510617694429149896013<66>

Number: 31119_144
N=2450580122471983000458653136037293800989706180239195005066168357353833426832036294754567817490052925818651778913076348977560739267
  ( 130 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=8988041621249801554077485816065408422877758581642567645054836559 (pp64)
 r2=272648951321970616039365589773091933223612684510617694429149896013 (pp66)
Version: GGNFS-0.77.1-20060513-k8
Total time: 11.25 hours.
Scaled time: 22.40 units (timescale=1.991).
Factorization parameters were as follows:
name: 31119_144
n: 2450580122471983000458653136037293800989706180239195005066168357353833426832036294754567817490052925818651778913076348977560739267
m: 100000000000000000000000000000
deg: 5
c5: 14
c0: 355
skew: 1.91
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [955000, 1855001)
Primes: RFBsize:142718, AFBsize:142781, largePrimes:3919763 encountered
Relations: rels:3994994, finalFF:387236
Max relations in full relation-set: 28
Initial matrix: 285565 x 387236 with sparse part having weight 32964282.
Pruned matrix : 247981 x 249472 with weight 17297811.
Total sieving time: 10.41 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 11.25 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

42941581840169851306496911799165463946002022848074130658861492367490343781164497312063584313924117589654966921237<113>

303971445136473294348591356602429<33>
208410345381267237307086484257560467<36>
677838101450885656471927399373596982235245059<45>

Number: 31119_147
N=42941581840169851306496911799165463946002022848074130658861492367490343781164497312063584313924117589654966921237
  ( 113 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=303971445136473294348591356602429 (pp33)
 r2=208410345381267237307086484257560467 (pp36)
 r3=677838101450885656471927399373596982235245059 (pp45)
Version: GGNFS-0.77.1-20060513-k8
Total time: 24.69 hours.
Scaled time: 48.56 units (timescale=1.967).
Factorization parameters were as follows:
name: 31119_147
n: 42941581840169851306496911799165463946002022848074130658861492367490343781164497312063584313924117589654966921237
m: 200000000000000000000000000000
deg: 5
c5: 175
c0: 142
skew: 0.96
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 3150001)
Primes: RFBsize:155805, AFBsize:155838, largePrimes:4543525 encountered
Relations: rels:4873763, finalFF:401796
Max relations in full relation-set: 28
Initial matrix: 311709 x 401796 with sparse part having weight 47172161.
Pruned matrix : 281859 x 283481 with weight 31778198.
Total sieving time: 23.36 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.03 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 24.69 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

19228185977613401633369694166969387451300507364563153637761353934453891234971683412314329153263211485477792708635663610248791317482884594989<140>

1505435896944076504911748169972217944553047<43>
1471581719349738533115955225275854247106676533<46>
8679439141512810986119574471702663143711519334849039<52>

SNFS difficulty: 151 digits.
Divisors found:
 r1=1505435896944076504911748169972217944553047
 r2=1471581719349738533115955225275854247106676533
 r3=8679439141512810986119574471702663143711519334849039
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 19228185977613401633369694166969387451300507364563153637761353934453891234971683412314329153263211485477792708635663610248791317482884594989
m: 1000000000000000000000000000000
deg: 5
c5: 28
c0: 71
skew: 1.20
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [1150000, 1950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 343246 x 343488
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,54,54,2.5,2.5,100000
total time: 10.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

13210101953679721078133035162460664562486141187682523506904637217575097070659891771521850923999452724347633268698191631400412343896697002722224581169<149>

1226316957498029579045870019792441755337618589<46>
80940410630738976725326885455402605922641740003<47>
133087734524800559082620074043187468597248350842161192407<57>

Number: n
N=13210101953679721078133035162460664562486141187682523506904637217575097070659891771521850923999452724347633268698191631400412343896697002722224581169
  ( 149 digits)
SNFS difficulty: 153 digits.
Divisors found:

 r1=1226316957498029579045870019792441755337618589 (pp46)
 r2=80940410630738976725326885455402605922641740003 (pp47)
 r3=133087734524800559082620074043187468597248350842161192407 (pp57)

Ggnfs  : 0.77.1-20051202-athlon
Msieve : 1.38
Total time:  16.33 hours.
Scaled time: 29.77 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_3_1_151_9
n: 13210101953679721078133035162460664562486141187682523506904637217575097070659891771521850923999452724347633268698191631400412343896697002722224581169
type: snfs
skew: 0.96
deg: 5
c5: 175
c0: 142
m: 2000000000000000000000000000000
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [1250000, 2200000)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10053756
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 533108 x 533356
Total sieving time: 16.33 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,54,54,2.5,2.5,100000
total time: 16.33 hours.
 --------- CPU info (if available) ----------

9871945043104886736129379424657667897317895638682689885689875888250427703761523754328418040160439354211<103>

11186157647009820408220827313507101889<38>
882514385602616930882416082547517692492045139519424234560724804899<66>

Number: 31119_153
N=9871945043104886736129379424657667897317895638682689885689875888250427703761523754328418040160439354211
  ( 103 digits)
Divisors found:
 r1=11186157647009820408220827313507101889 (pp38)
 r2=882514385602616930882416082547517692492045139519424234560724804899 (pp66)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 12.56 hours.
Scaled time: 5.94 units (timescale=0.473).
Factorization parameters were as follows:
name: 31119_153
n: 9871945043104886736129379424657667897317895638682689885689875888250427703761523754328418040160439354211
skew: 3705.13
# norm 8.60e+13
c5: 129720
c4: 263511244
c3: -12960973898930
c2: -3893806066263409
c1: 35118915354322524346
c0: -4785904810680555345056
# alpha -5.01
Y1: 55039345009
Y0: -37694579262082979205
# Murphy_E 2.40e-09
# M 2829306139617020241602336734220383744679524675451341332199799705151743481356617341779517768513448671065
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: RFBsize:169511, AFBsize:169312, largePrimes:4329475 encountered
Relations: rels:4333401, finalFF:422619
Max relations in full relation-set: 28
Initial matrix: 338906 x 422619 with sparse part having weight 29252220.
Pruned matrix : 269922 x 271680 with weight 15139323.
Total sieving time: 10.49 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 1.61 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 12.56 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

1860171382068895896152212829362076131889493263077223644879298221022375981502577667230155614071236413335732079943696403175667763997<130>

3425426951621600515042987227307069<34>
543048037030329582597213809565029194214444433430756712726409932533669420532810099590456505890913<96>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1358792107
Step 1 took 13989ms
Step 2 took 9636ms
********** Factor found in step 2: 3425426951621600515042987227307069
Found probable prime factor of 34 digits: 3425426951621600515042987227307069
Probable prime cofactor 543048037030329582597213809565029194214444433430756712726409932533669420532810099590456505890913 has 96 digits

GMP-ECM 6.2.1

2707050500490241799888406019421296662760926921905251579321279923412603805121355417444843351066830762011792020904866483<118>

5207543179028634894163598836860089001918725016663488946821<58>
519832559697601779512517512681427527642437186726029598257623<60>

Number: n
N=2707050500490241799888406019421296662760926921905251579321279923412603805121355417444843351066830762011792020904866483
  ( 118 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=5207543179028634894163598836860089001918725016663488946821 (pp58)
 r2=519832559697601779512517512681427527642437186726029598257623 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 15.17 hours.
Scaled time: 27.73 units (timescale=1.828).
Factorization parameters were as follows:
name: KA_3_1_154_9
n: 2707050500490241799888406019421296662760926921905251579321279923412603805121355417444843351066830762011792020904866483
type: snfs
skew: 1.20
deg: 5
c5: 28
c0: 71
m: 10000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 850001)
Primes: RFBsize:216816, AFBsize:216157, largePrimes:11660197 encountered
Relations: rels:10375245, finalFF:578312
Max relations in full relation-set: 48
Initial matrix: 433041 x 578312 with sparse part having weight 56231987.
Pruned matrix : 323328 x 325557 with weight 28767447.
Total sieving time: 13.85 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 1.02 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,56,56,2.5,2.5,100000
total time: 15.17 hours.
 --------- CPU info (if available) ----------

2493215910693202299588919242168139822229077715206612649935406154357567010275812811934709549389821058012028251<109>

87679139790976199399319247097<29>

28435679417441093560965677996084063055357095027467175103552861928042176482013683<80>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3986050529
Step 1 took 10257ms
Step 2 took 8464ms
********** Factor found in step 2: 87679139790976199399319247097
Found probable prime factor of 29 digits: 87679139790976199399319247097
Composite cofactor 28435679417441093560965677996084063055357095027467175103552861928042176482013683 has 80 digits

GMP-ECM 6.2.1

28435679417441093560965677996084063055357095027467175103552861928042176482013683<80>

1163077854391997881426801097760029323<37>
24448646588930130118660551617391962100587321<44>

Wed Nov 12 23:31:56 2008  factoring 28435679417441093560965677996084063055357095027467175103552861928042176482013683 (80 digits)
Wed Nov 12 23:31:56 2008  no P-1/P+1/ECM available, skipping
Wed Nov 12 23:31:56 2008  commencing quadratic sieve (80-digit input)
Wed Nov 12 23:31:56 2008  using multiplier of 11
Wed Nov 12 23:31:56 2008  using 64kb Opteron sieve core
Wed Nov 12 23:31:56 2008  sieve interval: 6 blocks of size 65536
Wed Nov 12 23:31:56 2008  processing polynomials in batches of 17
Wed Nov 12 23:31:56 2008  using a sieve bound of 1224919 (47235 primes)
Wed Nov 12 23:31:56 2008  using large prime bound of 122491900 (26 bits)
Wed Nov 12 23:31:56 2008  using trial factoring cutoff of 27 bits
Wed Nov 12 23:31:56 2008  polynomial 'A' values have 10 factors
Wed Nov 12 23:42:08 2008  47423 relations (24196 full + 23227 combined from 259919 partial), need 47331
Wed Nov 12 23:42:08 2008  begin with 284115 relations
Wed Nov 12 23:42:08 2008  reduce to 67756 relations in 2 passes
Wed Nov 12 23:42:08 2008  attempting to read 67756 relations
Wed Nov 12 23:42:08 2008  recovered 67756 relations
Wed Nov 12 23:42:08 2008  recovered 58044 polynomials
Wed Nov 12 23:42:08 2008  attempting to build 47423 cycles
Wed Nov 12 23:42:08 2008  found 47423 cycles in 1 passes
Wed Nov 12 23:42:08 2008  distribution of cycle lengths:
Wed Nov 12 23:42:08 2008     length 1 : 24196
Wed Nov 12 23:42:08 2008     length 2 : 23227
Wed Nov 12 23:42:08 2008  largest cycle: 2 relations
Wed Nov 12 23:42:08 2008  matrix is 47235 x 47423 (6.9 MB) with weight 1438142 (30.33/col)
Wed Nov 12 23:42:09 2008  sparse part has weight 1438142 (30.33/col)
Wed Nov 12 23:42:09 2008  filtering completed in 3 passes
Wed Nov 12 23:42:09 2008  matrix is 33614 x 33676 (5.4 MB) with weight 1147203 (34.07/col)
Wed Nov 12 23:42:09 2008  sparse part has weight 1147203 (34.07/col)
Wed Nov 12 23:42:09 2008  saving the first 48 matrix rows for later
Wed Nov 12 23:42:09 2008  matrix is 33566 x 33676 (3.9 MB) with weight 886098 (26.31/col)
Wed Nov 12 23:42:09 2008  sparse part has weight 683492 (20.30/col)
Wed Nov 12 23:42:09 2008  matrix includes 64 packed rows
Wed Nov 12 23:42:09 2008  using block size 13470 for processor cache size 1024 kB
Wed Nov 12 23:42:09 2008  commencing Lanczos iteration
Wed Nov 12 23:42:09 2008  memory use: 3.8 MB
Wed Nov 12 23:42:13 2008  lanczos halted after 532 iterations (dim = 33562)
Wed Nov 12 23:42:13 2008  recovered 16 nontrivial dependencies
Wed Nov 12 23:42:13 2008  prp37 factor: 1163077854391997881426801097760029323
Wed Nov 12 23:42:13 2008  prp44 factor: 24448646588930130118660551617391962100587321
Wed Nov 12 23:42:13 2008  elapsed time 00:10:17

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

399459588242763004906219728453078478116034450536203165146580269264295303353891235713969815121542712929793550724947820591285789082484125047970816623796093<153>

36350485135267436326923615816470359590281339<44>
10989112985873334669406170921657814512909467293608141635001759927342856073118693439074001322936654769906256487<110>

SNFS difficulty: 158 digits.
Divisors found:
 r1=36350485135267436326923615816470359590281339
 r2=10989112985873334669406170921657814512909467293608141635001759927342856073118693439074001322936654769906256487
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 399459588242763004906219728453078478116034450536203165146580269264295303353891235713969815121542712929793550724947820591285789082484125047970816623796093
m: 20000000000000000000000000000000
deg: 5
c5: 175
c0: 142
skew: 0.96
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [1550000, 2850001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 600523 x 600765
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,54,54,2.5,2.5,100000
total time: 20.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

833079174900552296204015274726708994720787603658384837712899528402125685009777275008418875429543491560512280381394998443766749291297875480403789<144>

23171439760163422371111675724153326581658778372287070365863549514077<68>
35952844688261045591447954066332986440191163322054061900169489973005924718257<77>

Number: n
N=833079174900552296204015274726708994720787603658384837712899528402125685009777275008418875429543491560512280381394998443766749291297875480403789
  ( 144 digits)
SNFS difficulty: 161 digits.
Divisors found:

Sat Nov 22 00:10:35 2008  prp68 factor: 23171439760163422371111675724153326581658778372287070365863549514077
Sat Nov 22 00:10:35 2008  prp77 factor: 35952844688261045591447954066332986440191163322054061900169489973005924718257
Sat Nov 22 00:10:35 2008  elapsed time 01:06:10 (Msieve 1.38)

Version: GGNFS-0.77.1-20050930-k8
Total time: 21.41 hours.
Scaled time: 17.94 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_3_1_158_9
n: 833079174900552296204015274726708994720787603658384837712899528402125685009777275008418875429543491560512280381394998443766749291297875480403789
type: snfs
skew: 1.91
deg: 5
c5: 14
c0: 355
m: 100000000000000000000000000000000
rlim: 4000000
alim: 4000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1150001)
Primes: RFBsize:283146, AFBsize:282603, largePrimes:13023992 encountered
Relations: rels:11576174, finalFF:592990
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 21.08 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,28,28,56,56,2.5,2.5,100000
total time: 21.41 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

303585369110018185007471879360898991168929903700924426959244422935273048194869215246139424974107724672809347382969467567<120>

70439990548456091885222669101231123<35>
4309843978488043509530024860013260980329590471359429014805762306586306512837214055029<85>

Number: 31119_165
N=303585369110018185007471879360898991168929903700924426959244422935273048194869215246139424974107724672809347382969467567
  ( 120 digits)
Divisors found:
 r1=70439990548456091885222669101231123 (pp35)
 r2=4309843978488043509530024860013260980329590471359429014805762306586306512837214055029 (pp85)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 40.96 hours.
Scaled time: 97.08 units (timescale=2.370).
Factorization parameters were as follows:
name: 31119_165
n: 303585369110018185007471879360898991168929903700924426959244422935273048194869215246139424974107724672809347382969467567
skew: 33667.21
# norm 1.82e+16
c5: 32340
c4: -23522374526
c3: 310860150727100
c2: 20865714667004567049
c1: -32102243520844357032692
c0: -2872046884747467271572696700
# alpha -5.20
Y1: 976166667797
Y0: -98743561855902881885457
# Murphy_E 2.75e-10
# M 153187704591743685195168053080016067196268183713315786138378510697769178895803432423620387704969606083977056054982934738
type: gnfs
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2100000, 4400001)
Primes: RFBsize:296314, AFBsize:297542, largePrimes:9896798 encountered
Relations: rels:10038568, finalFF:728716
Max relations in full relation-set: 28
Initial matrix: 593938 x 728716 with sparse part having weight 78608378.
Pruned matrix : 495863 x 498896 with weight 56165481.
Polynomial selection time: 2.65 hours.
Total sieving time: 35.87 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.08 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4200000,4200000,27,27,53,53,2.4,2.4,100000
total time: 40.96 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

Core 2 Quad Q6700

311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<168>

6361593299461195600022136270359902423389375773<46>
48904589851328773139603224038629125897433045861866521152439579001132682680657170685564747035658736348401899828271484240603<122>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119 (168 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3590283382
Step 1 took 16371ms
Step 2 took 7173ms
********** Factor found in step 2: 6361593299461195600022136270359902423389375773
Found probable prime factor of 46 digits: 6361593299461195600022136270359902423389375773
Probable prime cofactor 48904589851328773139603224038629125897433045861866521152439579001132682680657170685564747035658736348401899828271484240603 has 122 digits

Core 2 Quad Q6700

2946434866426532225052904290324854967005190986855743601237923563165775896268655931120771208280323813191820275891533314181506701560873870489455446221776047799591918771<166>

19859450154315389409262513980231995152171<41>

148364372806478843118018056613754483141353836691388837731243793211133214062412958758919222671776635993740297014703909886184601<126>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3158295896
Step 1 took 20529ms
Step 2 took 13133ms
********** Factor found in step 2: 19859450154315389409262513980231995152171
Found probable prime factor of 41 digits: 19859450154315389409262513980231995152171
Composite cofactor 148364372806478843118018056613754483141353836691388837731243793211133214062412958758919222671776635993740297014703909886184601 has 126 digits

GMP-ECM 6.2.1

148364372806478843118018056613754483141353836691388837731243793211133214062412958758919222671776635993740297014703909886184601<126>

2420617356194089718965053622654500415943294600059<49>
61291956131286495071168227013284416712975208459016724382733705642630335199739<77>

Number: 31119_170
N=148364372806478843118018056613754483141353836691388837731243793211133214062412958758919222671776635993740297014703909886184601
  ( 126 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=2420617356194089718965053622654500415943294600059
 r2=61291956131286495071168227013284416712975208459016724382733705642630335199739
Version: 
Total time: 30.43 hours.
Scaled time: 72.76 units (timescale=2.391).
Factorization parameters were as follows:
n: 148364372806478843118018056613754483141353836691388837731243793211133214062412958758919222671776635993740297014703909886184601
m: 10000000000000000000000000000000000
deg: 5
c5: 28
c0: 71
skew: 1.20
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 5200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10954934
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 878849 x 879097
Total sieving time: 26.96 hours.
Total relation processing time: 1.25 hours.
Matrix solve time: 1.83 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 30.43 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673802)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
Calibrating delay using timer specific routine.. 5344.72 BogoMIPS (lpj=2672363)
Calibrating delay using timer specific routine.. 5535.15 BogoMIPS (lpj=2767578)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

64079238555562421188257937243540011763117363413958746701635622564130730800830283848141358800253570701141297009559249265949436903691192995223808183376472392146631606169<167>

1031742911944581497755340763716442950404686881912645644675482631607<67>
62107757478836297627513604933143884731071612237300177074100586545875135390795675774103399514937355567<101>

SNFS difficulty: 172 digits.
Divisors found:
 r1=1031742911944581497755340763716442950404686881912645644675482631607 (pp67)
 r2=62107757478836297627513604933143884731071612237300177074100586545875135390795675774103399514937355567 (pp101)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.947).
Factorization parameters were as follows:
n: 64079238555562421188257937243540011763117363413958746701635622564130730800830283848141358800253570701141297009559249265949436903691192995223808183376472392146631606169
m: 10000000000000000000000000000000000
deg: 5
c5: 280
c0: 71
skew: 0.76
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2700000, 5700001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 888418 x 888659
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,54,54,2.4,2.4,200000
total time: 63.00 hours.

Msieve-1.38

Opteron-2.8GHz; Linux x86_64

2739892844810724965625160644389774019290990916305166453380886218609518451933975840813998506309362462847168116727438454827139<124>

145981945043538922447045171242551767513<39>
12106747692684234696061311650272036055929<41>
1550268564261924241434791929036957421411556307<46>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1284649349
Step 1 took 34253ms
Step 2 took 4413ms
********** Factor found in step 2: 145981945043538922447045171242551767513
Found probable prime factor of 39 digits: 145981945043538922447045171242551767513
Composite cofactor 18768710363418952533350681677121336057034379650028828291507491066449182303657984694203 has 86 digits
-----------------
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3517402920
Step 1 took 20558ms
Step 2 took 10567ms
********** Factor found in step 2: 12106747692684234696061311650272036055929
Found probable prime factor of 41 digits: 12106747692684234696061311650272036055929
Probable prime cofactor 1550268564261924241434791929036957421411556307 has 46 digits

GMP-ECM 6.2.1

2120435266378126435738353865831408776644077457059674735280135771908056650482885804582557315845056026190090000799491087568763954925676623655501689451805781837363133<163>

26463876637035357454880198705371187660579285421832891890609291260596831<71>
80125648084780006025821226584830544168851738359658907346249692666084989549452867555525657443<92>

N=2120435266378126435738353865831408776644077457059674735280135771908056650482885804582557315845056026190090000799491087568763954925676623655501689451805781837363133
  ( 163 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=26463876637035357454880198705371187660579285421832891890609291260596831 (pp71)
 r2=80125648084780006025821226584830544168851738359658907346249692666084989549452867555525657443 (pp92)
Version: Msieve-1.40
Total time: 68.60 hours.
Scaled time: 135.07 units (timescale=1.969).
Factorization parameters were as follows:
n: 2120435266378126435738353865831408776644077457059674735280135771908056650482885804582557315845056026190090000799491087568763954925676623655501689451805781837363133
m: 100000000000000000000000000000000000
deg: 5
c5: 28
c0: 71
skew: 1.20
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1117314 x 1117543
Total sieving time: 66.50 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.82 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 68.60 hours.
 --------- CPU info (if available) ----------

12255189450011394345886624005277270545972982902709668725171403353927774914407355488728521798333587784910725597129230925219<122>

17523944894902605507691685863551313076801221<44>
699339647751129622336695924473895312705541651662527802496178396153595100045639<78>

Number: 31119_176
N=12255189450011394345886624005277270545972982902709668725171403353927774914407355488728521798333587784910725597129230925219
  ( 122 digits)
Divisors found:
 r1=17523944894902605507691685863551313076801221 (pp44)
 r2=699339647751129622336695924473895312705541651662527802496178396153595100045639 (pp78)
Version: Msieve-1.39
Total time: 42.01 hours.
Scaled time: 73.06 units (timescale=1.739).
Factorization parameters were as follows:
n: 12255189450011394345886624005277270545972982902709668725171403353927774914407355488728521798333587784910725597129230925219
Y0: -244870820893368151508838
Y1:  12427739286793
c0: -163742196505265923710132207365
c1:  65321964375096181901087226
c2:  197404084512766770793
c3: -2347860226599054
c4: -2773401392
c5:  13920
skew: 246057.74
type: gnfs

Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [3000000, 5220001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 704331 x 704579
Total sieving time: 42.01 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6000000,6000000,27,27,50,50,2.4,2.4,60000
total time: 42.01 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

7588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880759<178>

463075775995206321032650596711128078474740747807397760979408995670133078825749<78>
16386250963897014588548079794123952353280585186116441103459154761169411054261602389191949558824062491<101>

Number: n
N=7588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880759
  ( 178 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri Nov 28 18:24:07 2008  prp78 factor: 463075775995206321032650596711128078474740747807397760979408995670133078825749
Fri Nov 28 18:24:08 2008  prp101 factor: 16386250963897014588548079794123952353280585186116441103459154761169411054261602389191949558824062491
Fri Nov 28 18:24:08 2008  elapsed time 04:22:22 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 31.62 hours.
Scaled time: 64.66 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_3_1_178_9
n: 7588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880759
type: snfs
skew: 1.91
deg: 5
c5: 14
c0: 355
m: 1000000000000000000000000000000000000
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 2100001)
Primes: RFBsize:539777, AFBsize:539736, largePrimes:16473243 encountered
Relations: rels:15646828, finalFF:1184593
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 31.20 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,56,56,2.5,2.5,100000
total time: 31.62 hours.
 --------- CPU info (if available) ----------

5632753439781906371926677051017548102999369398501852290406917367586148830928022159757361<88>

1769146270425716073999738991617358320203<40>
3183882267929421411122992492160640617807896639987<49>

Thu Nov 13 17:49:42 2008  
Thu Nov 13 17:49:42 2008  
Thu Nov 13 17:49:42 2008  Msieve v. 1.38
Thu Nov 13 17:49:42 2008  random seeds: 51185410 c757fac6
Thu Nov 13 17:49:42 2008  factoring 5632753439781906371926677051017548102999369398501852290406917367586148830928022159757361 (88 digits)
Thu Nov 13 17:49:42 2008  searching for 15-digit factors
Thu Nov 13 17:49:43 2008  commencing quadratic sieve (88-digit input)
Thu Nov 13 17:49:43 2008  using multiplier of 15
Thu Nov 13 17:49:43 2008  using 64kb Opteron sieve core
Thu Nov 13 17:49:43 2008  sieve interval: 14 blocks of size 65536
Thu Nov 13 17:49:43 2008  processing polynomials in batches of 8
Thu Nov 13 17:49:43 2008  using a sieve bound of 1518311 (58000 primes)
Thu Nov 13 17:49:43 2008  using large prime bound of 121464880 (26 bits)
Thu Nov 13 17:49:43 2008  using double large prime bound of 356460311108640 (42-49 bits)
Thu Nov 13 17:49:43 2008  using trial factoring cutoff of 49 bits
Thu Nov 13 17:49:43 2008  polynomial 'A' values have 11 factors
Thu Nov 13 18:29:52 2008  58287 relations (16307 full + 41980 combined from 608396 partial), need 58096
Thu Nov 13 18:29:53 2008  begin with 624703 relations
Thu Nov 13 18:29:53 2008  reduce to 139184 relations in 10 passes
Thu Nov 13 18:29:53 2008  attempting to read 139184 relations
Thu Nov 13 18:29:54 2008  recovered 139184 relations
Thu Nov 13 18:29:54 2008  recovered 116779 polynomials
Thu Nov 13 18:29:54 2008  attempting to build 58287 cycles
Thu Nov 13 18:29:54 2008  found 58287 cycles in 6 passes
Thu Nov 13 18:29:55 2008  distribution of cycle lengths:
Thu Nov 13 18:29:55 2008     length 1 : 16307
Thu Nov 13 18:29:55 2008     length 2 : 11401
Thu Nov 13 18:29:55 2008     length 3 : 10285
Thu Nov 13 18:29:55 2008     length 4 : 7674
Thu Nov 13 18:29:55 2008     length 5 : 5269
Thu Nov 13 18:29:55 2008     length 6 : 3307
Thu Nov 13 18:29:55 2008     length 7 : 1957
Thu Nov 13 18:29:55 2008     length 9+: 2087
Thu Nov 13 18:29:55 2008  largest cycle: 21 relations
Thu Nov 13 18:29:55 2008  matrix is 58000 x 58287 (14.3 MB) with weight 3515841 (60.32/col)
Thu Nov 13 18:29:55 2008  sparse part has weight 3515841 (60.32/col)
Thu Nov 13 18:29:55 2008  filtering completed in 3 passes
Thu Nov 13 18:29:55 2008  matrix is 53538 x 53602 (13.3 MB) with weight 3259658 (60.81/col)
Thu Nov 13 18:29:55 2008  sparse part has weight 3259658 (60.81/col)
Thu Nov 13 18:29:56 2008  saving the first 48 matrix rows for later
Thu Nov 13 18:29:56 2008  matrix is 53490 x 53602 (9.6 MB) with weight 2670563 (49.82/col)
Thu Nov 13 18:29:56 2008  sparse part has weight 2192693 (40.91/col)
Thu Nov 13 18:29:56 2008  matrix includes 64 packed rows
Thu Nov 13 18:29:56 2008  using block size 21440 for processor cache size 1024 kB
Thu Nov 13 18:29:56 2008  commencing Lanczos iteration
Thu Nov 13 18:29:56 2008  memory use: 8.7 MB
Thu Nov 13 18:30:16 2008  lanczos halted after 847 iterations (dim = 53484)
Thu Nov 13 18:30:17 2008  recovered 16 nontrivial dependencies
Thu Nov 13 18:30:17 2008  prp40 factor: 1769146270425716073999738991617358320203
Thu Nov 13 18:30:17 2008  prp49 factor: 3183882267929421411122992492160640617807896639987
Thu Nov 13 18:30:17 2008  elapsed time 00:40:35

3534548186337179369100059677713442822182966300120683789028729608351585034737604105459360069179526793789211707357861292227443302574162137084371018037483<151>

223344585078769076356791713960326607222566322422770441507222632941382131<72>
15825537857076841013399434213811744818796046506036343271773748809552288917060393<80>

N=3534548186337179369100059677713442822182966300120683789028729608351585034737604105459360069179526793789211707357861292227443302574162137084371018037483
  ( 151 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=223344585078769076356791713960326607222566322422770441507222632941382131 (pp72)
 r2=15825537857076841013399434213811744818796046506036343271773748809552288917060393 (pp80)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 146.21 hours.
Scaled time: 281.45 units (timescale=1.925).
Factorization parameters were as follows:
n: 3534548186337179369100059677713442822182966300120683789028729608351585034737604105459360069179526793789211707357861292227443302574162137084371018037483
m: 2000000000000000000000000000000000000
deg: 5
c5: 875
c0: 71
skew: 0.61
# Murphy_E = 6.663e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 11350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1667895 x 1668129
Total sieving time: 142.30 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 2.80 hours.
Time per square root: 0.86 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 146.21 hours.
 --------- CPU info (if available) ----------

3087616844368276887279589020322813521824933987553880161270516672083673376807780348359942363405522524210074220037130536645874059706053173917008319434479757395011<160>

239584981765857255141212284260634090180103103420501344594475562063454323<72>
12887355549630225527412819410517476075050198556249316775600605210753009919925252374358257<89>

# siever: 13e
# rational side
# q-range: 3500000 - 19700000
# ETA is not correct, since PC did some other tasks too
Sat Nov 25 20:58:45 2017  
Sat Nov 25 20:58:45 2017  
Sat Nov 25 20:58:45 2017  Msieve v. 1.53 (SVN 967)
Sat Nov 25 20:58:45 2017  random seeds: 4106c068 7674865c
Sat Nov 25 20:58:45 2017  factoring 3087616844368276887279589020322813521824933987553880161270516672083673376807780348359942363405522524210074220037130536645874059706053173917008319434479757395011 (160 digits)
Sat Nov 25 20:58:46 2017  no P-1/P+1/ECM available, skipping
Sat Nov 25 20:58:46 2017  commencing number field sieve (160-digit input)
Sat Nov 25 20:58:46 2017  R0: 10000000000000000000000000000000000000
Sat Nov 25 20:58:46 2017  R1: -1
Sat Nov 25 20:58:46 2017  A0: 71
Sat Nov 25 20:58:46 2017  A1: 0
Sat Nov 25 20:58:46 2017  A2: 0
Sat Nov 25 20:58:46 2017  A3: 0
Sat Nov 25 20:58:46 2017  A4: 0
Sat Nov 25 20:58:46 2017  A5: 2800
Sat Nov 25 20:58:46 2017  skew 0.48, size 2.372e-013, alpha -0.087, combined = 3.531e-011 rroots = 1
Sat Nov 25 20:58:46 2017  
Sat Nov 25 20:58:46 2017  commencing relation filtering
Sat Nov 25 20:58:46 2017  setting target matrix density to 100.0
Sat Nov 25 20:58:46 2017  estimated available RAM is 130995.6 MB
Sat Nov 25 20:58:46 2017  commencing duplicate removal, pass 1
Sat Nov 25 21:04:38 2017  found 836683 hash collisions in 21769468 relations
Sat Nov 25 21:05:32 2017  added 722426 free relations
Sat Nov 25 21:05:32 2017  commencing duplicate removal, pass 2
Sat Nov 25 21:05:41 2017  found 0 duplicates and 22491894 unique relations
Sat Nov 25 21:05:41 2017  memory use: 63.3 MB
Sat Nov 25 21:05:41 2017  reading ideals above 720000
Sat Nov 25 21:05:41 2017  commencing singleton removal, initial pass
Sat Nov 25 21:11:50 2017  memory use: 689.0 MB
Sat Nov 25 21:11:50 2017  reading all ideals from disk
Sat Nov 25 21:11:51 2017  memory use: 720.6 MB
Sat Nov 25 21:11:53 2017  keeping 22555182 ideals with weight <= 200, target excess is 121388
Sat Nov 25 21:11:56 2017  commencing in-memory singleton removal
Sat Nov 25 21:11:58 2017  begin with 22491894 relations and 22555182 unique ideals
Sat Nov 25 21:12:25 2017  reduce to 12194201 relations and 10513843 ideals in 14 passes
Sat Nov 25 21:12:25 2017  max relations containing the same ideal: 138
Sat Nov 25 21:12:32 2017  removing 1986149 relations and 1586149 ideals in 400000 cliques
Sat Nov 25 21:12:33 2017  commencing in-memory singleton removal
Sat Nov 25 21:12:34 2017  begin with 10208052 relations and 10513843 unique ideals
Sat Nov 25 21:12:45 2017  reduce to 9947879 relations and 8656477 ideals in 8 passes
Sat Nov 25 21:12:45 2017  max relations containing the same ideal: 120
Sat Nov 25 21:12:51 2017  removing 1560540 relations and 1160540 ideals in 400000 cliques
Sat Nov 25 21:12:52 2017  commencing in-memory singleton removal
Sat Nov 25 21:12:53 2017  begin with 8387339 relations and 8656477 unique ideals
Sat Nov 25 21:13:03 2017  reduce to 8204296 relations and 7305683 ideals in 9 passes
Sat Nov 25 21:13:03 2017  max relations containing the same ideal: 104
Sat Nov 25 21:13:08 2017  removing 1432831 relations and 1032831 ideals in 400000 cliques
Sat Nov 25 21:13:09 2017  commencing in-memory singleton removal
Sat Nov 25 21:13:09 2017  begin with 6771465 relations and 7305683 unique ideals
Sat Nov 25 21:13:17 2017  reduce to 6594546 relations and 6087946 ideals in 9 passes
Sat Nov 25 21:13:17 2017  max relations containing the same ideal: 92
Sat Nov 25 21:13:23 2017  removing 1276860 relations and 911071 ideals in 365789 cliques
Sat Nov 25 21:13:23 2017  commencing in-memory singleton removal
Sat Nov 25 21:13:24 2017  begin with 5317686 relations and 6087946 unique ideals
Sat Nov 25 21:13:34 2017  reduce to 5152335 relations and 5003353 ideals in 10 passes
Sat Nov 25 21:13:34 2017  max relations containing the same ideal: 77
Sat Nov 25 21:13:38 2017  removing 57599 relations and 49428 ideals in 8171 cliques
Sat Nov 25 21:13:39 2017  commencing in-memory singleton removal
Sat Nov 25 21:13:39 2017  begin with 5094736 relations and 5003353 unique ideals
Sat Nov 25 21:13:43 2017  reduce to 5094441 relations and 4953629 ideals in 4 passes
Sat Nov 25 21:13:43 2017  max relations containing the same ideal: 77
Sat Nov 25 21:13:44 2017  relations with 0 large ideals: 2942
Sat Nov 25 21:13:44 2017  relations with 1 large ideals: 1101
Sat Nov 25 21:13:44 2017  relations with 2 large ideals: 18923
Sat Nov 25 21:13:44 2017  relations with 3 large ideals: 136291
Sat Nov 25 21:13:44 2017  relations with 4 large ideals: 510411
Sat Nov 25 21:13:44 2017  relations with 5 large ideals: 1105857
Sat Nov 25 21:13:44 2017  relations with 6 large ideals: 1484261
Sat Nov 25 21:13:44 2017  relations with 7+ large ideals: 1834655
Sat Nov 25 21:13:44 2017  commencing 2-way merge
Sat Nov 25 21:13:50 2017  reduce to 3271068 relation sets and 3130256 unique ideals
Sat Nov 25 21:13:50 2017  commencing full merge
Sat Nov 25 21:15:28 2017  memory use: 411.4 MB
Sat Nov 25 21:15:29 2017  found 1525521 cycles, need 1512456
Sat Nov 25 21:15:29 2017  weight of 1512456 cycles is about 151436532 (100.13/cycle)
Sat Nov 25 21:15:29 2017  distribution of cycle lengths:
Sat Nov 25 21:15:29 2017  1 relations: 63650
Sat Nov 25 21:15:29 2017  2 relations: 100081
Sat Nov 25 21:15:29 2017  3 relations: 121325
Sat Nov 25 21:15:29 2017  4 relations: 123905
Sat Nov 25 21:15:29 2017  5 relations: 126231
Sat Nov 25 21:15:29 2017  6 relations: 123067
Sat Nov 25 21:15:29 2017  7 relations: 117020
Sat Nov 25 21:15:29 2017  8 relations: 109026
Sat Nov 25 21:15:29 2017  9 relations: 100460
Sat Nov 25 21:15:29 2017  10+ relations: 527691
Sat Nov 25 21:15:29 2017  heaviest cycle: 28 relations
Sat Nov 25 21:15:29 2017  commencing cycle optimization
Sat Nov 25 21:15:33 2017  start with 12396988 relations
Sat Nov 25 21:16:11 2017  pruned 515839 relations
Sat Nov 25 21:16:11 2017  memory use: 339.1 MB
Sat Nov 25 21:16:11 2017  distribution of cycle lengths:
Sat Nov 25 21:16:11 2017  1 relations: 63650
Sat Nov 25 21:16:11 2017  2 relations: 102796
Sat Nov 25 21:16:11 2017  3 relations: 126460
Sat Nov 25 21:16:11 2017  4 relations: 129125
Sat Nov 25 21:16:11 2017  5 relations: 132473
Sat Nov 25 21:16:11 2017  6 relations: 128221
Sat Nov 25 21:16:11 2017  7 relations: 122450
Sat Nov 25 21:16:11 2017  8 relations: 113404
Sat Nov 25 21:16:11 2017  9 relations: 103829
Sat Nov 25 21:16:11 2017  10+ relations: 490048
Sat Nov 25 21:16:11 2017  heaviest cycle: 27 relations
Sat Nov 25 21:16:13 2017  RelProcTime: 1047
Sat Nov 25 21:16:13 2017  
Sat Nov 25 21:16:13 2017  commencing linear algebra
Sat Nov 25 21:16:13 2017  read 1512456 cycles
Sat Nov 25 21:16:17 2017  cycles contain 5012040 unique relations
Sat Nov 25 21:17:20 2017  read 5012040 relations
Sat Nov 25 21:17:29 2017  using 20 quadratic characters above 268434822
Sat Nov 25 21:17:53 2017  building initial matrix
Sat Nov 25 21:19:17 2017  memory use: 617.1 MB
Sat Nov 25 21:19:18 2017  read 1512456 cycles
Sat Nov 25 21:19:19 2017  matrix is 1512279 x 1512456 (605.2 MB) with weight 177215826 (117.17/col)
Sat Nov 25 21:19:19 2017  sparse part has weight 142024089 (93.90/col)
Sat Nov 25 21:19:38 2017  filtering completed in 2 passes
Sat Nov 25 21:19:38 2017  matrix is 1512197 x 1512374 (605.2 MB) with weight 177212350 (117.17/col)
Sat Nov 25 21:19:38 2017  sparse part has weight 142022579 (93.91/col)
Sat Nov 25 21:19:43 2017  matrix starts at (0, 0)
Sat Nov 25 21:19:43 2017  matrix is 1512197 x 1512374 (605.2 MB) with weight 177212350 (117.17/col)
Sat Nov 25 21:19:43 2017  sparse part has weight 142022579 (93.91/col)
Sat Nov 25 21:19:43 2017  saving the first 48 matrix rows for later
Sat Nov 25 21:19:44 2017  matrix includes 64 packed rows
Sat Nov 25 21:19:44 2017  matrix is 1512149 x 1512374 (577.1 MB) with weight 148538797 (98.22/col)
Sat Nov 25 21:19:44 2017  sparse part has weight 136168926 (90.04/col)
Sat Nov 25 21:19:44 2017  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sat Nov 25 21:19:53 2017  commencing Lanczos iteration (32 threads)
Sat Nov 25 21:19:53 2017  memory use: 473.7 MB
Sat Nov 25 21:20:08 2017  linear algebra at 0.1%, ETA 3h52m
Sat Nov 25 21:20:13 2017  checkpointing every 390000 dimensions
Sun Nov 26 00:22:00 2017  lanczos halted after 23914 iterations (dim = 1512149)
Sun Nov 26 00:22:02 2017  recovered 41 nontrivial dependencies
Sun Nov 26 00:22:03 2017  BLanczosTime: 11150
Sun Nov 26 00:22:03 2017  
Sun Nov 26 00:22:03 2017  commencing square root phase
Sun Nov 26 00:22:03 2017  handling dependencies 1 to 64
Sun Nov 26 00:22:03 2017  reading relations for dependency 1
Sun Nov 26 00:22:03 2017  read 755370 cycles
Sun Nov 26 00:22:05 2017  cycles contain 2503338 unique relations
Sun Nov 26 00:22:39 2017  read 2503338 relations
Sun Nov 26 00:22:57 2017  multiplying 2503338 relations
Sun Nov 26 00:25:01 2017  multiply complete, coefficients have about 83.97 million bits
Sun Nov 26 00:25:01 2017  initial square root is modulo 1065791
Sun Nov 26 00:27:46 2017  sqrtTime: 343
Sun Nov 26 00:27:46 2017  prp72 factor: 239584981765857255141212284260634090180103103420501344594475562063454323
Sun Nov 26 00:27:46 2017  prp89 factor: 12887355549630225527412819410517476075050198556249316775600605210753009919925252374358257
Sun Nov 26 00:27:46 2017  elapsed time 03:29:01

6335083299188597379220327521532092296835496215419779376698618095027107788868928938004641072229677480443304832200131668816400489750883<133>

154202533361910325876603324545962162691955904209<48>
41082874328142722163809423797787086799133114480836823875030929858871962505495272358387<86>

Number: n
N=6335083299188597379220327521532092296835496215419779376698618095027107788868928938004641072229677480443304832200131668816400489750883
  ( 133 digits)
Divisors found:

Mon Apr 23 17:15:06 2012  prp48 factor: 154202533361910325876603324545962162691955904209
Mon Apr 23 17:15:06 2012  prp86 factor: 41082874328142722163809423797787086799133114480836823875030929858871962505495272358387
Mon Apr 23 17:15:06 2012  elapsed time 05:09:02 (Msieve 1.44 - dependency 7)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.642).
Factorization parameters were as follows:
name: KA_31119_188
n: 6335083299188597379220327521532092296835496215419779376698618095027107788868928938004641072229677480443304832200131668816400489750883
skew: 121527.22
# norm 1.56e+18
c5: 51600
c4: 334373798580
c3: -4927845562343950
c2: -3641000143628337286028
c1: 10821434420523611158109111
c0: 8549817627179102465677966885419
# alpha -5.39
Y1: 92493899155207
Y0: -41478139748366219583272794
# Murphy_E 4.50e-11
# M 430460877416829532122698502517449600869145100809858684075771367984851192870719773127773979553877300964156207831841641099747673181360
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 23820000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3491914 hash collisions in 13982135 relations (10297155 unique)
Msieve: matrix is 1231013 x 1231238 (356.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

75880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880758807588075880759<188>

154404198802585779625548736654848061<36>
491442327320423324677368836487922152089885148164851026168352045646964403454221159385528666500912510299956883818830016131844263490242213578840344716671619<153>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2777304898
Step 1 took 22057ms
Step 2 took 14793ms
********** Factor found in step 2: 154404198802585779625548736654848061
Found probable prime factor of 36 digits: 154404198802585779625548736654848061
Probable prime cofactor 491442327320423324677368836487922152089885148164851026168352045646964403454221159385528666500912510299956883818830016131844263490242213578840344716671619 has 153 digits

To be, or not to be: that is the question:
Whether 'tis nobler in the mind to suffer
The slings and arrows of outrageous fortune,
Or to take arms against a sea of troubles,
And by opposing end them? To die: to sleep;
No more; and by a sleep to say we end
The heart-ache and the thousand natural shocks
That flesh is heir to, 'tis a consummation
Devoutly to be wish'd. To die, to sleep;
To sleep: perchance to dream: ay, there's the rub!

GMP-ECM 6.2.1

418473001189703828303474869386412480895136372434348233381350161928103822885649595078014027744975011229025145832557580880781691400849458222263263023238742613990213467957944716760877<180>

72948732985607639943348271937061875858767<41>

5736535564946222076701029625873664000242757235671459219099940391735526356194060277001714023463867870843827613222563476713106720501742427331<139>

Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=2901755410
Step 1 took 59001ms
Step 2 took 44783ms
********** Factor found in step 2: 72948732985607639943348271937061875858767
Found probable prime factor of 41 digits: 72948732985607639943348271937061875858767
Composite cofactor has 139 digits

GMP-ECM 6.2.1

5736535564946222076701029625873664000242757235671459219099940391735526356194060277001714023463867870843827613222563476713106720501742427331<139>

335787636265061031886984430184339645776318936867<48>
17083820085674527623823971229843330593952486874976035646283695363777208926581430202661236193<92>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3098252611
Step 1 took 37495ms
Step 2 took 22831ms
********** Factor found in step 2: 335787636265061031886984430184339645776318936867
Found probable prime factor of 48 digits: 335787636265061031886984430184339645776318936867
Probable prime cofactor 

6057050438769462574562269837601450778873189674967848477570242362418358043863999589578215164286647125690870091140119664626245008014637243810291477711462557649<157>

4641351664036837573809838006458936135820801<43>
1774174237530169561011487210855836503852744457046108813<55>
735563967119250855617391093667609102291404224773484559762773<60>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3233969495
Step 1 took 212282ms
Step 2 took 65686ms
********** Factor found in step 2: 4641351664036837573809838006458936135820801
Found probable prime factor of 43 digits: 4641351664036837573809838006458936135820801
Composite cofactor 1305018640518463600320063246698126954367724622987734140643544436097787271719496740061819421723099477623750024618449 has 115 digits

N=1305018640518463600320063246698126954367724622987734140643544436097787271719496740061819421723099477623750024618449
  ( 115 digits)
Divisors found:
 r1=1774174237530169561011487210855836503852744457046108813 (pp55)
 r2=735563967119250855617391093667609102291404224773484559762773 (pp60)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 40.04 hours.
Scaled time: 35.07 units (timescale=0.876).
Factorization parameters were as follows:
n: 1305018640518463600320063246698126954367724622987734140643544436097787271719496740061819421723099477623750024618449
skew: 503333.80
c0: -864737112410437518662608810080
c1: -2448292955865283375213950
c2: -1738983201061767645
c3: -28562170535867
c4: -70183205
c5: 132
Y0: -25061591027433527639701
Y1: 44398422883
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2250000, 3450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 343328 x 343567
Total sieving time: 39.38 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,54,54,2.5,2.5,100000
total time: 40.04 hours.
 --------- CPU info (if available) ----------

25391922772379589648711788534466228981914631748441696425805346871618594103595747713586843655966216085608944355772842121374639487827157364253116255939572979<155>

267407641043367558042632242380571217<36>

94955860921945704007355546974800936804246583000431312236385646536971406882241375331831813631952300999296434499069136387<119>

Using B1=11000000, B2=96175819756, polynomial Dickson(12), sigma=710368225
Step 1 took 55001ms
Step 2 took 37692ms
********** Factor found in step 2: 267407641043367558042632242380571217
Found probable prime factor of 36 digits: 267407641043367558042632242380571217
Composite cofactor has 119 digits

GMP-ECM 6.2.1

94955860921945704007355546974800936804246583000431312236385646536971406882241375331831813631952300999296434499069136387<119>

12106194029400988433886496553153<32>
7843576659298273046592920579513889096997867755355782782493662806320570224295195937674179<88>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 94955860921945704007355546974800936804246583000431312236385646536971406882241375331831813631952300999296434499069136387 (119 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=235263376
Step 1 took 11871ms
Step 2 took 5314ms
********** Factor found in step 2: 12106194029400988433886496553153
Found probable prime factor of 32 digits: 12106194029400988433886496553153
Probable prime cofactor 7843576659298273046592920579513889096997867755355782782493662806320570224295195937674179 has 88 digits

Core 2 Quad Q6700

3368258259842939928761743684591353111714254592842546308473488823297704275243455252559455216128483559923997167187011042309101429342402273662275390132149793<154>

3430332611543575163170075993580769854041<40>
981904276135863360348585276875102874961476680710922549798051373250453146506603629607044819866732207974820445892873<114>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3118442793
Step 1 took 59100ms
Step 2 took 14525ms
********** Factor found in step 2: 3430332611543575163170075993580769854041
Found probable prime factor of 40 digits: 3430332611543575163170075993580769854041

13232351341196972754984445755415649418082703519674841387524516656697912467226889169446722693348783591855213632982384225486328981186850548615010573796820340382500979171361<170>

48047205238701020172240921106902728401428113385230231<53>
275403143126805430866879957284815730399781033493704111163136958835800931622583049817467028268290761925926881172948231<117>

Number: n
N=13232351341196972754984445755415649418082703519674841387524516656697912467226889169446722693348783591855213632982384225486328981186850548615010573796820340382500979171361  ( 170 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Mar 26 17:41:51 2021  p53 factor: 48047205238701020172240921106902728401428113385230231
Fri Mar 26 17:41:51 2021  p117 factor: 275403143126805430866879957284815730399781033493704111163136958835800931622583049817467028268290761925926881172948231
Fri Mar 26 17:41:51 2021  elapsed time 01:22:39 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 28x10^198+71 = 31(197)9
#
n: 13232351341196972754984445755415649418082703519674841387524516656697912467226889169446722693348783591855213632982384225486328981186850548615010573796820340382500979171361
m: 2000000000000000000000000000000000000000
deg: 5
c5: 875
c0: 71
skew: 0.61
# Murphy_E = 1.61e-11
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3696093 hash collisions in 28185344 relations (25984936 unique)
Msieve: matrix is 1838681 x 1838906 (644.2 MB)

Sieving start time : 2021/03/26 09:47:06
Sieving end time  : 2021/03/26 16:18:42

Total sieving time: 6hrs 31min 36secs.

Total relation processing time: 1hrs 6min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 36sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

153696399132693345591535600102912270683920713804226598593537168808161910604083833317932195915865096675421393488651056282766201463314706112778014665191314315214505321954782711041041701<183>

437162662001481744899970602890042863325281295545417013316277692658906290015935777<81>
351577141627370724435251520138885664930258003944721817449515616275840972540336579137787294265451815813<102>

153696399132693345591535600102912270683920713804226598593537168808161910604083833317932195915865096675421393488651056282766201463314706112778014665191314315214505321954782711041041701=437162662001481744899970602890042863325281295545417013316277692658906290015935777*351577141627370724435251520138885664930258003944721817449515616275840972540336579137787294265451815813

cado polynomial
n: 153696399132693345591535600102912270683920713804226598593537168808161910604083833317932195915865096675421393488651056282766201463314706112778014665191314315214505321954782711041041701
skew: 0.80
type: snfs
c0: 71
c6: 280
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 280*x^6+71
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15300000
tasks.lim1 = 15300000
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: 351577141627370724435251520138885664930258003944721817449515616275840972540336579137787294265451815813 437162662001481744899970602890042863325281295545417013316277692658906290015935777
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: 9.97/3.31067
Info:Generate Free Relations: Total cpu/real time for freerel: 337.72/85.7331
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 45458322
Info:Lattice Sieving: Average J: 1893.39 for 4058278 special-q, max bucket fill -bkmult 1.0,1s:1.151030
Info:Lattice Sieving: Total time: 1.24262e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 86.3/230.092
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 229.59999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 692.53/601.916
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 526.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 479.02/518.304
Info:Filtering - Merging: Merged matrix has 3269878 rows and total weight 563896036 (172.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 471.04/206.08
Info:Filtering - Merging: Total cpu/real time for replay: 131.93/115.603
Info:Linear Algebra: Total cpu/real time for bwc: 197003/50400.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 32279.28, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (102400 iterations)
Info:Linear Algebra: Lingen CPU time 683.99, WCT time 196.8
Info:Linear Algebra: Mksol: WCT time 17530.68, iteration CPU time 0.33, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51200 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 120.46/50.4652
Info:Square Root: Total cpu/real time for sqrt: 1057.73/316.682
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.40268e+06/175897
Info:root: Cleaning up computation data in /tmp/cado.jqsotz9v
351577141627370724435251520138885664930258003944721817449515616275840972540336579137787294265451815813 437162662001481744899970602890042863325281295545417013316277692658906290015935777

cado-nfs-3.0.0

4 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)

21507891078793541224058860841393950436972797622476336999766610833083007651939000526463403851793065572610724265687886427035684162533553891254494108584361352391215251128641021405443536457<185>

1551132446404025513204525633608514817357696406321<49>
35398149511074885201125779791085729409245212092587<50>
391713362369655856509664166101923772518792440201779077121446829633878716584229047442891<87>

N=21507891078793541224058860841393950436972797622476336999766610833083007651939000526463403851793065572610724265687886427035684162533553891254494108584361352391215251128641021405443536457
  ( 185 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=1551132446404025513204525633608514817357696406321 (pp49)
 r2=35398149511074885201125779791085729409245212092587 (pp50)
 r3=391713362369655856509664166101923772518792440201779077121446829633878716584229047442891 (pp87)
Version: Msieve v. 1.48
Total time:
Scaled time: 84.65 units (timescale=0.681).
Factorization parameters were as follows:
n: 21507891078793541224058860841393950436972797622476336999766610833083007651939000526463403851793065572610724265687886427035684162533553891254494108584361352391215251128641021405443536457
m: 10000000000000000000000000000000000000000
deg: 5
c5: 28
c0: 71
skew: 1.20
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7950000, 15310001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3058322 x 3058550
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
total time:

119818402043776360382276170731186765050351097116107944268511163046366196675849466245025161386061501503612166321791689804539786134749333027515363679306138172837410971607621099015551827<183>

3962652723742458557478636642634916652414449050141<49>
30236917135301210825634937548364698647959879235498377902185633612125408408008347477113432270139701500571120316994923279407453671987247<134>

Number: n
N=119818402043776360382276170731186765050351097116107944268511163046366196675849466245025161386061501503612166321791689804539786134749333027515363679306138172837410971607621099015551827  ( 183 digits)
SNFS difficulty: 204 digits.
Divisors found:

Mon Sep 20 21:44:10 2021  p49 factor: 3962652723742458557478636642634916652414449050141
Mon Sep 20 21:44:10 2021  p134 factor: 30236917135301210825634937548364698647959879235498377902185633612125408408008347477113432270139701500571120316994923279407453671987247
Mon Sep 20 21:44:10 2021  elapsed time 02:02:34 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 28x10^203+71 = 31(202)9
#
n: 119818402043776360382276170731186765050351097116107944268511163046366196675849466245025161386061501503612166321791689804539786134749333027515363679306138172837410971607621099015551827
m: 20000000000000000000000000000000000000000
deg: 5
c5: 875
c0: 71
skew: 0.61
# Murphy_E = 9.946e-12
type: snfs
lss: 1
rlim: 17900000
alim: 17900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17900000/17900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9267822 hash collisions in 62255198 relations (55319782 unique)
Msieve: matrix is 2210081 x 2210306 (767.8 MB)

Sieving start time : 2021/09/20 06:25:57
Sieving end time  : 2021/09/20 19:40:42

Total sieving time: 13hrs 14min 45secs.

Total relation processing time: 1hrs 37min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 4sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17900000,17900000,29,29,56,56,2.6,2.6,100000
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)

748985800908058497614459672300359713788536054068937538745211596973748376967938617127676393792683242161722587601986763644383146918834238968528535376657<150>

383218162591563095295404695651202976212192184852710167950343121<63>
1954463211876346795786494049897779821399140870566644755222570911968000436024038034551617<88>

Number: 31119_204
N = 748985800908058497614459672300359713788536054068937538745211596973748376967938617127676393792683242161722587601986763644383146918834238968528535376657 (150 digits)
SNFS difficulty: 207 digits.
Divisors found:
r1=383218162591563095295404695651202976212192184852710167950343121 (pp63)
r2=1954463211876346795786494049897779821399140870566644755222570911968000436024038034551617 (pp88)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 112.79 hours.
Factorization parameters were as follows:
n: 748985800908058497614459672300359713788536054068937538745211596973748376967938617127676393792683242161722587601986763644383146918834238968528535376657
m: 100000000000000000000000000000000000000000
deg: 5
c5: 14
c0: 355
skew: 1.91
# Murphy_E = 1.042e-11
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19100000/19100000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 39020540
Relations: 6066318 relations
Pruned matrix : 3612543 x 3612769
Total sieving time: 98.91 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 13.15 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,19100000,19100000,29,29,56,56,2.6,2.6,100000
total time: 112.79 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.29GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

167272747083542370140135144908247219203388736008959735412386562261130452039545359654736396283603472004751758206814539988458562133143621281476278361390977346873387<162>

2172573420570627054429844362294660076681785099789837099965976017<64>
76992908731990347842151934919433676543194907149712458064770452077072236329652942370187108287031611<98>

Number: n
N=167272747083542370140135144908247219203388736008959735412386562261130452039545359654736396283603472004751758206814539988458562133143621281476278361390977346873387  ( 162 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Feb 15 18:10:24 2024  prp64 factor: 2172573420570627054429844362294660076681785099789837099965976017
Thu Feb 15 18:10:24 2024  prp98 factor: 76992908731990347842151934919433676543194907149712458064770452077072236329652942370187108287031611
Thu Feb 15 18:10:24 2024  elapsed time 02:38:54 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
#
# N = 28x10^205+71 = 31(204)9
#
n: 167272747083542370140135144908247219203388736008959735412386562261130452039545359654736396283603472004751758206814539988458562133143621281476278361390977346873387
m: 100000000000000000000000000000000000000000
deg: 5
c5: 28
c0: 71
skew: 1.20
# Murphy_E = 1.059e-11
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 64050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3583178 hash collisions in 19918155 relations (17173554 unique)
Msieve: matrix is 2252594 x 2252819 (634.0 MB)

Sieving start time: 2024/02/14 11:04:01
Sieving end time  : 2024/02/15 15:30:57

Total sieving time: 28hrs 26min 56secs.

Total relation processing time: 2hrs 31min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 27sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

178492187639777811597072357502687188354754880509068879247056706378775252860482152249750085718182876161203179594517705819606495885758819819274868829912992234616695815581551<171>

52790666922734797826734774733879<32>

3381131515179030067791693093905438040894901694546930580907246664113911340462286136495927603495672936130621571127422721771614167521238764169<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2922329366
Step 1 took 19446ms
Step 2 took 8227ms
********** Factor found in step 2: 52790666922734797826734774733879
Found probable prime factor of 32 digits: 52790666922734797826734774733879

3381131515179030067791693093905438040894901694546930580907246664113911340462286136495927603495672936130621571127422721771614167521238764169<139>

6065369988065498433110466688371279914467313<43>
557448518694144015551764220391175292856693090795633700134014444054397137950264533033365755890713<96>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1994163825
Step 1 took 33833ms
Step 2 took 13242ms
********** Factor found in step 2: 6065369988065498433110466688371279914467313
Found probable prime factor of 43 digits: 6065369988065498433110466688371279914467313
Probable prime cofactor 

4628537878932702615172288144045187972741205373405649496491062322129655048872955666239751279822567908361263207019237626273288498396198593262608765864990926843889<160>

125763620694777271408352168205948994440149663582734663575027945839463090453609201323200753240928817909641146848046426234413543311941822342295334701372040124608417540343259839901387792021221873493<195>

16820284481213714124351633467321923735712177681334941603124396909757025299528265289880456181<92>
7476902119892234408810919999898363340719315442333280657163067554093423691158903065295056228188828393953<103>

Number: n
N=125763620694777271408352168205948994440149663582734663575027945839463090453609201323200753240928817909641146848046426234413543311941822342295334701372040124608417540343259839901387792021221873493
  ( 195 digits)
SNFS difficulty: 211 digits.
Divisors found:

Sat Jun 26 09:20:53 2021  p92 factor: 16820284481213714124351633467321923735712177681334941603124396909757025299528265289880456181
Sat Jun 26 09:20:53 2021  p103 factor: 7476902119892234408810919999898363340719315442333280657163067554093423691158903065295056228188828393953
Sat Jun 26 09:20:53 2021  elapsed time 03:09:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 28x10^209+71 = 31(208)9
#
n: 125763620694777271408352168205948994440149663582734663575027945839463090453609201323200753240928817909641146848046426234413543311941822342295334701372040124608417540343259839901387792021221873493
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 14
c0: 355
skew: 1.91
# Murphy_E = 6.401e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 38700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7850562 hash collisions in 56517052 relations (50803970 unique)
Msieve: matrix is 2804394 x 2804619 (992.9 MB)

Sieving start time : 2021/06/25 15:57:49
Sieving end time  : 2021/06/26 06:10:54

Total sieving time: 14hrs 13min 5secs.

Total relation processing time: 2hrs 46min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 38sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

1795576267060253399402573074147093316411523390839947571013708200775543046954829013167387498892745080043497897712819576288793557105658510877918110488475390896192683804228200840235715608307959673<193>

103952181730757853481652575173298293533<39>

17273098430111832551514695288802863316979689664714252749564835373842387263848593258641993511674459572251668042658297535019945562243669871360114937811149581<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1960312863
Step 1 took 23679ms
Step 2 took 9594ms
********** Factor found in step 2: 103952181730757853481652575173298293533
Found probable prime factor of 39 digits: 103952181730757853481652575173298293533

2407788201180408831635191642857523333232933004797844299582889799531561116661453144388259101842016294689408404062693336872401802201519587130138159979612358541<157>

482861000070056093090366559023005222521299676186493569685114178527178327375407452648105205339674189531950067024997356562525644794159581336146245148749245856509424032001299102854505631083<186>

593655503132545397555513136620333<33>

813369028876411799721160695839637089509034105861473633825305073609836955977313612004631429402843306938262797895208491439749272440707195431790528625717751<153>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=686511813
Step 1 took 22877ms
Step 2 took 9263ms
********** Factor found in step 2: 593655503132545397555513136620333
Found probable prime factor of 33 digits: 593655503132545397555513136620333

79145710009422552021536535205894193971587742801093079150940664598099747904047103859663798266402922599364677084879747758038532707781006993129311476279597373280597068990583910988876509236338687551328407945253<206>

1098226894705034988394241050293365177<37>

72066810957748161642024581773091507474706159308633815059465267371642393118400050269492858795449078263283617432315650106668433216409971291143562759484428537164526671728589<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=784881829
Step 1 took 21978ms
Step 2 took 9719ms
********** Factor found in step 2: 1098226894705034988394241050293365177
Found probable prime factor of 37 digits: 1098226894705034988394241050293365177

180037650770665944344675900349074028671497247614385535007495068236752280060671445205876899579839589045784615659412781066938545068588070135472626856275518761412289383494674187810474827687173<189>

117759351074864540972560697627989770741542931785875093578236869120287593097357416885028276221765125841972445871383512860495446030915197365149265862302779062102234545887849759897073701371384997239616192135972917<210>

595006403653088354368387766828027524829<39>
197912745731595146471363373206846959918720823006280157260219029156369049139751223493108087171751346797589943855620833622578972235604760102449019104672267913694404351247673<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=326078836
Step 1 took 27322ms
Step 2 took 10017ms
********** Factor found in step 2: 595006403653088354368387766828027524829
Found probable prime factor of 39 digits: 595006403653088354368387766828027524829

183491634325336873702856241516326435191317758527632466607263235762072011607149633763486411774226570885694940619118842868311156360190471068475771086751841828682905207318020691<174>

43857202474688129744650839826307<32>
4183842652326895590008289465447290514939379720996467646869094976764113241169346723695226846853382800613269552720167686647881180985347562064113<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=546399864
Step 1 took 21076ms
Step 2 took 8214ms
********** Factor found in step 2: 43857202474688129744650839826307
Found probable prime factor of 32 digits: 43857202474688129744650839826307

216395013640614252703005572171601245817007102393483418732079787932886632198032351054539271830779099333039654386249642561807825771100445928295966551513605836482653621138701475350289428330744321562990269952779516666280247<219>

1069715471021424429252642217053088156739<40>

202292123001631580053487250212051274602470522712469187535564930444775704530562596228249062065896909285977702886768776001731571622342397246537405089863744077923133937536205369739773<180>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=448289815
Step 1 took 78185ms
********** Factor found in step 1: 1069715471021424429252642217053088156739
Found probable prime factor of 40 digits: 1069715471021424429252642217053088156739
Composite cofactor

202292123001631580053487250212051274602470522712469187535564930444775704530562596228249062065896909285977702886768776001731571622342397246537405089863744077923133937536205369739773<180>

163124456788590808756242773542148595938268791902492568038767759924555903348863799631446119<90>
1240109098194895701978614188906463456011363999328014388098562893526393470117575637452854267<91>

Number: 31119_222
N = 202292123001631580053487250212051274602470522712469187535564930444775704530562596228249062065896909285977702886768776001731571622342397246537405089863744077923133937536205369739773 (180 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=163124456788590808756242773542148595938268791902492568038767759924555903348863799631446119 (pp90)
r2=1240109098194895701978614188906463456011363999328014388098562893526393470117575637452854267 (pp91)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 82.99 hours.
Factorization parameters were as follows:
n: 202292123001631580053487250212051274602470522712469187535564930444775704530562596228249062065896909285977702886768776001731571622342397246537405089863744077923133937536205369739773
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2800
c0: 71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 36809873
Relations: 7896796 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 33.63 hours.
Total relation processing time: 0.33 hours.
Pruned matrix : 7153828 x 7154052
Matrix solve time: 48.37 hours.
time per square root: 0.66 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 82.99 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

16762891995812929401250577002586287892627809700020518730480360832410612895675407144842990183936502591411219691690963127437198124976583669853821221516459478733863089385794468949525142664242870667010615383833050029<212>

6609282003440034627343706239866868745106953155717761293<55>
2536265208094932136543261366617872590417504966044351107481175787633147484307015691406140532605334962896677734556043599327818031348417526148096573087930635553<157>

Number: n
N=16762891995812929401250577002586287892627809700020518730480360832410612895675407144842990183936502591411219691690963127437198124976583669853821221516459478733863089385794468949525142664242870667010615383833050029  ( 212 digits)
SNFS difficulty: 224 digits.
Divisors found:

Fri May  8 21:44:37 2020  p55 factor: 6609282003440034627343706239866868745106953155717761293
Fri May  8 21:44:37 2020  p157 factor: 2536265208094932136543261366617872590417504966044351107481175787633147484307015691406140532605334962896677734556043599327818031348417526148096573087930635553
Fri May  8 21:44:37 2020  elapsed time 13:57:04 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 28x10^223+71 = 31(222)9
#
n: 16762891995812929401250577002586287892627809700020518730480360832410612895675407144842990183936502591411219691690963127437198124976583669853821221516459478733863089385794468949525142664242870667010615383833050029
m: 10000000000000000000000000000000000000
deg: 6
c6: 280
c0: 71
skew: 0.80
# Murphy_E = 1.776e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 102700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9558014 hash collisions in 56703741 relations (49194664 unique)
Msieve: matrix is 5465613 x 5465838 (1921.5 MB)

Sieving start time: 2020/05/06 03:43:11
Sieving end time  : 2020/05/08 07:46:36

Total sieving time: 52hrs 3min 25secs.

Total relation processing time: 13hrs 14min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 21min 40sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149449] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283224K/16703460K available (12300K kernel code, 2481K rwdata, 4268K rodata, 2432K init, 2712K bss, 420236K reserved, 0K cma-reserved)
[    0.184573] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.29 BogoMIPS (lpj=11976580)
[    0.182230] smpboot: Total of 16 processors activated (95812.64 BogoMIPS)

20727294254048331120065450280961804785915957528560046220089561306002826507091373663599375039506778043597923980856892845788582827441152084012105953871599105347798112511883864614969522845620025509525194762725002274265349<218>

669639899342981416206654208956383<33>

30952896137737549845498002699401701350569578888277896153777298543059125908901740473514612683873755179397490686700847842090116723130455629485845841956948051728139921837986558775097621403<185>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1439475619
Step 1 took 28539ms
Step 2 took 8551ms
********** Factor found in step 2: 669639899342981416206654208956383
Found probable prime factor of 33 digits: 669639899342981416206654208956383

83777327577765953439180947581427761151471917753599534940833241201633407971620538858448324057153111185299411440317340168573566203790022862827280366510273681918990774667361656411920522629727669168562919807929867086889<215>

36434253168702847128715761532022337049941583050081196193238074520423487575020968998325895081723743090813381936095806008877267602769991449419544258402998352894491484254858646858501<179>

76817495246032112226614446298829418180998909023<47>

474296292166396841575811597841353150289489074596898474225875269763419324413061560582085928990064947990529249392739237687046501794587<132>

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Using B1=12000000, B2=35134365640, polynomial Dickson(12), sigma=1:162518278
Step 1 took 21219ms
Step 2 took 7594ms
********** Factor found in step 2: 76817495246032112226614446298829418180998909023
Found prime factor of 47 digits: 76817495246032112226614446298829418180998909023
Composite cofactor 474296292166396841575811597841353150289489074596898474225875269763419324413061560582085928990064947990529249392739237687046501794587 has 132 digits

474296292166396841575811597841353150289489074596898474225875269763419324413061560582085928990064947990529249392739237687046501794587<132>

43699248309389099726359478170066575789968250892083213606267091259<65>
10853648758633014082901935761369279345322226922311611506390448242593<68>

08/12/20 00:42:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c132: 474296292166396841575811597841353150289489074596898474225875269763419324413061560582085928990064947990529249392739237687046501794587
08/12/20 00:42:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing poly selection with 16 threads
08/12/20 00:42:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: setting deadline of 4725 seconds
08/12/20 02:16:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: completed 16 ranges of size 250 in 5601.4535 seconds
08/12/20 02:16:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: best poly = # norm 1.273880e-012 alpha -7.298289 e 6.252e-011 rroots 3
08/12/20 02:16:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 02:28:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 02:39:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 02:50:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 03:02:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 03:13:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 03:25:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 03:36:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 03:47:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 03:59:46 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 04:11:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 04:22:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 04:34:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 04:45:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 04:57:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 05:09:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 05:20:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 05:32:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 05:44:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 05:55:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 06:07:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 06:19:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 06:31:37 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 06:43:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 06:55:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 07:07:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 07:19:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 07:31:03 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 07:43:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 07:55:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 08:07:26 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 08:18:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 08:29:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 08:41:13 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 08:52:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 09:04:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 09:15:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 09:27:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 09:38:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 09:49:37 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 10:01:42 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 10:13:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 10:25:13 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 10:36:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 10:48:00 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 10:59:56 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 11:11:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 11:23:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 11:35:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 11:47:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 11:59:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 12:11:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 12:23:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 12:35:54 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 12:48:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 12:59:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 13:11:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 13:23:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 13:35:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 13:47:30 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 13:59:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 14:11:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 14:23:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 14:35:35 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 14:47:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 14:59:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 15:11:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 15:22:53 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 15:35:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 15:47:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 15:59:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
08/12/20 16:11:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
08/12/20 16:15:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
08/12/20 17:12:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
08/12/20 17:18:29 v1.34.5 @ DESKTOP-RJPVCOL, prp68 = 10853648758633014082901935761369279345322226922311611506390448242593
08/12/20 17:18:29 v1.34.5 @ DESKTOP-RJPVCOL, prp65 = 43699248309389099726359478170066575789968250892083213606267091259
08/12/20 17:18:30 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 59744.1083 seconds.
Wed Aug 12 16:11:24 2020  commencing relation filtering
Wed Aug 12 16:11:24 2020  estimated available RAM is 32701.3 MB
Wed Aug 12 16:11:24 2020  commencing duplicate removal, pass 1
Wed Aug 12 16:12:23 2020  found 2511189 hash collisions in 21082322 relations
Wed Aug 12 16:12:39 2020  added 120940 free relations
Wed Aug 12 16:12:39 2020  commencing duplicate removal, pass 2
Wed Aug 12 16:12:46 2020  found 2073043 duplicates and 19130219 unique relations
Wed Aug 12 16:12:46 2020  memory use: 98.6 MB
Wed Aug 12 16:12:46 2020  reading ideals above 720000
Wed Aug 12 16:12:46 2020  commencing singleton removal, initial pass
Wed Aug 12 16:14:01 2020  memory use: 689.0 MB
Wed Aug 12 16:14:01 2020  reading all ideals from disk
Wed Aug 12 16:14:01 2020  memory use: 594.8 MB
Wed Aug 12 16:14:02 2020  keeping 21149618 ideals with weight <= 200, target excess is 120063
Wed Aug 12 16:14:03 2020  commencing in-memory singleton removal
Wed Aug 12 16:14:03 2020  begin with 19130219 relations and 21149618 unique ideals
Wed Aug 12 16:14:10 2020  reduce to 6869779 relations and 6672319 ideals in 19 passes
Wed Aug 12 16:14:10 2020  max relations containing the same ideal: 104
Wed Aug 12 16:14:12 2020  removing 450299 relations and 421206 ideals in 29093 cliques
Wed Aug 12 16:14:12 2020  commencing in-memory singleton removal
Wed Aug 12 16:14:12 2020  begin with 6419480 relations and 6672319 unique ideals
Wed Aug 12 16:14:15 2020  reduce to 6393133 relations and 6224571 ideals in 11 passes
Wed Aug 12 16:14:15 2020  max relations containing the same ideal: 96
Wed Aug 12 16:14:16 2020  removing 323517 relations and 294424 ideals in 29093 cliques
Wed Aug 12 16:14:16 2020  commencing in-memory singleton removal
Wed Aug 12 16:14:16 2020  begin with 6069616 relations and 6224571 unique ideals
Wed Aug 12 16:14:18 2020  reduce to 6054562 relations and 5914998 ideals in 9 passes
Wed Aug 12 16:14:18 2020  max relations containing the same ideal: 92
Wed Aug 12 16:14:20 2020  relations with 0 large ideals: 488
Wed Aug 12 16:14:20 2020  relations with 1 large ideals: 1432
Wed Aug 12 16:14:20 2020  relations with 2 large ideals: 25087
Wed Aug 12 16:14:20 2020  relations with 3 large ideals: 177277
Wed Aug 12 16:14:20 2020  relations with 4 large ideals: 667259
Wed Aug 12 16:14:20 2020  relations with 5 large ideals: 1425707
Wed Aug 12 16:14:20 2020  relations with 6 large ideals: 1785161
Wed Aug 12 16:14:20 2020  relations with 7+ large ideals: 1972151
Wed Aug 12 16:14:20 2020  commencing 2-way merge
Wed Aug 12 16:14:23 2020  reduce to 3361399 relation sets and 3221841 unique ideals
Wed Aug 12 16:14:23 2020  ignored 6 oversize relation sets
Wed Aug 12 16:14:23 2020  commencing full merge
Wed Aug 12 16:14:54 2020  memory use: 368.1 MB
Wed Aug 12 16:14:55 2020  found 1685854 cycles, need 1672041
Wed Aug 12 16:14:55 2020  weight of 1672041 cycles is about 117205111 (70.10/cycle)
Wed Aug 12 16:14:55 2020  distribution of cycle lengths:
Wed Aug 12 16:14:55 2020  1 relations: 238641
Wed Aug 12 16:14:55 2020  2 relations: 208849
Wed Aug 12 16:14:55 2020  3 relations: 200804
Wed Aug 12 16:14:55 2020  4 relations: 173197
Wed Aug 12 16:14:55 2020  5 relations: 148518
Wed Aug 12 16:14:55 2020  6 relations: 123385
Wed Aug 12 16:14:55 2020  7 relations: 104651
Wed Aug 12 16:14:55 2020  8 relations: 86032
Wed Aug 12 16:14:55 2020  9 relations: 70667
Wed Aug 12 16:14:55 2020  10+ relations: 317297
Wed Aug 12 16:14:55 2020  heaviest cycle: 26 relations
Wed Aug 12 16:14:55 2020  commencing cycle optimization
Wed Aug 12 16:14:56 2020  start with 9856287 relations
Wed Aug 12 16:15:05 2020  pruned 181795 relations
Wed Aug 12 16:15:05 2020  memory use: 341.0 MB
Wed Aug 12 16:15:05 2020  distribution of cycle lengths:
Wed Aug 12 16:15:05 2020  1 relations: 238641
Wed Aug 12 16:15:05 2020  2 relations: 213225
Wed Aug 12 16:15:05 2020  3 relations: 206596
Wed Aug 12 16:15:05 2020  4 relations: 175863
Wed Aug 12 16:15:05 2020  5 relations: 150453
Wed Aug 12 16:15:05 2020  6 relations: 123773
Wed Aug 12 16:15:05 2020  7 relations: 104556
Wed Aug 12 16:15:05 2020  8 relations: 84996
Wed Aug 12 16:15:05 2020  9 relations: 69527
Wed Aug 12 16:15:05 2020  10+ relations: 304411
Wed Aug 12 16:15:05 2020  heaviest cycle: 26 relations
Wed Aug 12 16:15:06 2020  RelProcTime: 222
Wed Aug 12 16:15:06 2020  
Wed Aug 12 16:15:06 2020  commencing linear algebra
Wed Aug 12 16:15:06 2020  read 1672041 cycles
Wed Aug 12 16:15:08 2020  cycles contain 5862939 unique relations
Wed Aug 12 16:15:26 2020  read 5862939 relations
Wed Aug 12 16:15:30 2020  using 20 quadratic characters above 268435122
Wed Aug 12 16:15:48 2020  building initial matrix
Wed Aug 12 16:16:21 2020  memory use: 754.0 MB
Wed Aug 12 16:16:22 2020  read 1672041 cycles
Wed Aug 12 16:16:22 2020  matrix is 1671859 x 1672041 (508.7 MB) with weight 161778772 (96.76/col)
Wed Aug 12 16:16:22 2020  sparse part has weight 113279189 (67.75/col)
Wed Aug 12 16:16:29 2020  filtering completed in 2 passes
Wed Aug 12 16:16:30 2020  matrix is 1668118 x 1668300 (508.3 MB) with weight 161609769 (96.87/col)
Wed Aug 12 16:16:30 2020  sparse part has weight 113230197 (67.87/col)
Wed Aug 12 16:16:32 2020  matrix starts at (0, 0)
Wed Aug 12 16:16:32 2020  matrix is 1668118 x 1668300 (508.3 MB) with weight 161609769 (96.87/col)
Wed Aug 12 16:16:32 2020  sparse part has weight 113230197 (67.87/col)
Wed Aug 12 16:16:32 2020  saving the first 48 matrix rows for later
Wed Aug 12 16:16:32 2020  matrix includes 64 packed rows
Wed Aug 12 16:16:32 2020  matrix is 1668070 x 1668300 (493.1 MB) with weight 129547677 (77.65/col)
Wed Aug 12 16:16:32 2020  sparse part has weight 112592641 (67.49/col)
Wed Aug 12 16:16:32 2020  using block size 65536 for processor cache size 12288 kB
Wed Aug 12 16:16:37 2020  commencing Lanczos iteration (16 threads)
Wed Aug 12 16:16:37 2020  memory use: 578.6 MB
Wed Aug 12 16:16:40 2020  linear algebra at 0.1%, ETA 0h54m
Wed Aug 12 16:16:41 2020  checkpointing every 1830000 dimensions
Wed Aug 12 17:12:11 2020  lanczos halted after 26379 iterations (dim = 1668070)
Wed Aug 12 17:12:12 2020  recovered 32 nontrivial dependencies
Wed Aug 12 17:12:12 2020  BLanczosTime: 3426
Wed Aug 12 17:12:12 2020  
Wed Aug 12 17:12:12 2020  commencing square root phase
Wed Aug 12 17:12:12 2020  reading relations for dependency 1
Wed Aug 12 17:12:12 2020  read 833449 cycles
Wed Aug 12 17:12:13 2020  cycles contain 2929246 unique relations
Wed Aug 12 17:12:31 2020  read 2929246 relations
Wed Aug 12 17:12:39 2020  multiplying 2929246 relations
Wed Aug 12 17:13:52 2020  multiply complete, coefficients have about 126.25 million bits
Wed Aug 12 17:13:52 2020  initial square root is modulo 1153219883
Wed Aug 12 17:15:21 2020  GCD is N, no factor found
Wed Aug 12 17:15:21 2020  reading relations for dependency 2
Wed Aug 12 17:15:21 2020  read 833367 cycles
Wed Aug 12 17:15:22 2020  cycles contain 2927890 unique relations
Wed Aug 12 17:15:40 2020  read 2927890 relations
Wed Aug 12 17:15:48 2020  multiplying 2927890 relations
Wed Aug 12 17:17:00 2020  multiply complete, coefficients have about 126.20 million bits
Wed Aug 12 17:17:01 2020  initial square root is modulo 1143264047
Wed Aug 12 17:18:29 2020  sqrtTime: 377

YAFU v1.34.5

781849136917960618381749245465784531992216289021916164313774458945118232900187550992120414592178785953479922013215487802118376659545502822574168664939286553798966122193696998973206872657280446297900039833879<207>

256948457331241358469502275858971996139170665885640996793478808635598158920218207762120727227354579993272610361729790849592997988769261771855138227515374758945559804426798120043843199700351407546383241880564173934882565019<222>

3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<232>

20880158079015182803464306403277443480177<41>
148998446244418823060448491617064775888928487294638654202870339973343937233347828487804159392884153432525916764883918868808936983238196795393996275873019732250983749220451247666582872568336447<192>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=827540967
Step 1 took 92010ms
Step 2 took 41786ms
********** Factor found in step 2: 20880158079015182803464306403277443480177
Found probable prime factor of 41 digits: 20880158079015182803464306403277443480177
Probable prime cofactor  has 192 digits

23206695782266231531918393943698859973710006369601506108459160206573871130536299903513536697046553372887931468299693175815778943515627986219468293914002210184745772877753<170>

656586164239686240907023253584455281658659<42>
35344478830343805819605155485064776324031334954534589002515704637845216449600677508357337164626997639926417985871813547967876467<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2450118178
Step 1 took 19428ms
Step 2 took 8236ms
********** Factor found in step 2: 656586164239686240907023253584455281658659
Found probable prime factor of 42 digits: 656586164239686240907023253584455281658659

4808402691351894681351776678792192022885914229388110864622267975755538170110951868387394374541045603971128894465048247312692939678572878678039514275769496645869481965928934187953450298049090355865403867681984145509699<217>

206932577865575690525510375937546651045797<42>
1383005104486564771977669649783122830963411<43>
16801504805897475585261345454826377717791617087219600584588803449694079002423690126801038446149284447494266461670820770077387183691197<134>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2475415188
Step 1 took 109022ms
Step 2 took 28290ms
********** Factor found in step 2: 1383005104486564771977669649783122830963411
Found probable prime factor of 43 digits: 1383005104486564771977669649783122830963411

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1276016525
Step 1 took 121526ms
Step 2 took 36912ms
********** Factor found in step 2: 206932577865575690525510375937546651045797
Found probable prime factor of 42 digits: 206932577865575690525510375937546651045797

99737974366594112468184868621010665321010341650006466445083812040364513146187343259360158913742370507808731338457219029414622280938200385844523396092341839867007799708784763735199321<182>

180294476700977213811252493429<30>
106863828611979412194254211645209<33>

5176633180343022516160919711822197399856532628015355757908446601890527899309457921854458785251282419711836581699049388061<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3257712275
Step 1 took 22897ms
Step 2 took 8948ms
********** Factor found in step 2: 106863828611979412194254211645209
Found probable prime factor of 33 digits: 106863828611979412194254211645209

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2377585701
Step 1 took 16369ms
Step 2 took 7272ms
********** Factor found in step 2: 180294476700977213811252493429
Found probable prime factor of 30 digits: 180294476700977213811252493429

5176633180343022516160919711822197399856532628015355757908446601890527899309457921854458785251282419711836581699049388061<121>

1032685447469128572826045576290360431480779571<46>
5012787962713858650254985763478932152558566267611270269779063602555762190191<76>

N=5176633180343022516160919711822197399856532628015355757908446601890527899309457921854458785251282419711836581699049388061
  ( 121 digits)
Divisors found:
 r1=1032685447469128572826045576290360431480779571 (pp46)
 r2=5012787962713858650254985763478932152558566267611270269779063602555762190191 (pp76)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 63.50 hours.
Scaled time: 58.87 units (timescale=0.927).
Factorization parameters were as follows:
n: 5176633180343022516160919711822197399856532628015355757908446601890527899309457921854458785251282419711836581699049388061
skew: 45450.03
c0: 5439487685368756049769788115
c1: -149234445329247052310352
c2: -17423204814655602974
c3: 93275855713114
c4: 13769255941
c5: 30996
Y0: -175609416333399449936896
Y1: 2496082229519
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 400000
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2550000, 4550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 845364 x 845590
Total sieving time: 61.26 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 1.02 hours.
Time per square root: 0.97 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5100000,5100000,27,27,54,54,2.5,2.5,100000
total time: 63.50 hours.
 --------- CPU info (if available) ----------

1647287278717935046294358269386982165792177439723781344755736417309232094708342559624742195649654879157827444833831351588833927689726315726624394251189558190632325730787254471919500315084633943398603616375586133736164157<220>

2718737615805822632391650641633809226341382771191079806659115964386981551591370248826990753948342249945990179825946974763922421013781817689642963336069367139310895551831616971537369115847590595098099917273397590186522517101<223>

7232273732699977797607489251010733554806666257766526521336617101207150679518179702584116681833930855810807492947423121069205747051867467327675371501572969090810181048478957779812046756654291653315488316837948546505465337940425161<229>

19014527173460451966754375926886046366476312914223410277043630279061750702422099672236408757219264206929775161161529827637181987041314513379100077877391490188256110550895604263032545040610310365230970038802741875803885823713154014254281041<239>

557149717038564074749537834091382129112897<42>

34128218308229579168658654805865733079352442197497248315210928491525227913750289360697074034946511280550531518765685796783968930790008714238775944534731545268248532155456742033627214624136994817553<197>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1181667619
Step 1 took 149072ms
Step 2 took 42167ms
********** Factor found in step 2: 557149717038564074749537834091382129112897
Found probable prime factor of 42 digits: 557149717038564074749537834091382129112897

4239489179494841702519997738313596968998400900426912270023970924213246422294338434726186065283189074708986239172496662703961269222840095370128230610262813023922181916622153895585825563377861259065905394222085368031494887<220>

14438647680540914489529966940546866876381456986064723754428550450428859202244532141928694038560306958841725006861284501253377974991493382481784670892395968100341415380357357507090876502583908827719<197>

947524929045726255684484750545722785042565340073953060284754342528228577109014855143945587947407300603535437839472357431614995908886391682598854599629996588163<159>

345867825124014659582100489505870790241906187<45>
2739557889508747790031060932988793598235827219011151330259629935372857561256279831463959447535768202619767556755049<115>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1712157808
Step 1 took 47149ms
Step 2 took 1337ms
********** Factor found in step 2: 345867825124014659582100489505870790241906187
Found probable prime factor of 45 digits: 345867825124014659582100489505870790241906187
Probable prime cofactor 

1058342785596123092941735967987991301182756260362099176437383417799225811367917011684149155672848152154232359243187909198288124506169123204301446909804623898010747398204649022748922222933198272995152591423<205>

729074051423064286870932515525659239796450075384398331513177629092332465469802352400166678889143415450271662952179662591563309729254756684144240706849164002202661598840367242705238251078879297887<195>