2803046322004152875112620813566577077927806952156825391511832624617223721085592618506559134515933<97>

911966845446144824010461085219467<33>
3073627441612605884921881130730293562533139400059580806969126199<64>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 2803046322004152875112620813566577077927806952156825391511832624617223721085592618506559134515933 (97 digits)
Using B1=970000, B2=803893354, polynomial Dickson(3), sigma=3599057271
Step 1 took 6142ms
********** Factor found in step 1: 911966845446144824010461085219467
Found probable prime factor of 33 digits: 911966845446144824010461085219467
Probable prime cofactor 3073627441612605884921881130730293562533139400059580806969126199 has 64 digits

17484651650476548830770449081096030553402318344900536526344925522349690719762578371973674396991<95>

40715325956793234293671007002897<32>
429436612371250961547371918499935905158308605193850743956973903<63>

Sun Jun  1 23:08:03 2008  Msieve v. 1.35
Sun Jun  1 23:08:03 2008  random seeds: a3301bb0 3d53df02
Sun Jun  1 23:08:03 2008  factoring 17484651650476548830770449081096030553402318344900536526344925522349690719762578371973674396991 (95 digits)
Sun Jun  1 23:08:04 2008  searching for 15-digit factors
Sun Jun  1 23:08:06 2008  commencing quadratic sieve (95-digit input)
Sun Jun  1 23:08:06 2008  using multiplier of 11
Sun Jun  1 23:08:07 2008  using 64kb Pentium 4 sieve core
Sun Jun  1 23:08:07 2008  sieve interval: 18 blocks of size 65536
Sun Jun  1 23:08:07 2008  processing polynomials in batches of 6
Sun Jun  1 23:08:07 2008  using a sieve bound of 2128183 (78667 primes)
Sun Jun  1 23:08:07 2008  using large prime bound of 310714718 (28 bits)
Sun Jun  1 23:08:07 2008  using double large prime bound of 1933086450144842 (43-51 bits)
Sun Jun  1 23:08:07 2008  using trial factoring cutoff of 51 bits
Sun Jun  1 23:08:07 2008  polynomial 'A' values have 12 factors
Mon Jun  2 06:07:09 2008  78793 relations (19031 full + 59762 combined from 1177846 partial), need 78763
Mon Jun  2 06:07:13 2008  begin with 1196877 relations
Mon Jun  2 06:07:15 2008  reduce to 206885 relations in 12 passes
Mon Jun  2 06:07:15 2008  attempting to read 206885 relations
Mon Jun  2 06:07:21 2008  recovered 206885 relations
Mon Jun  2 06:07:21 2008  recovered 192966 polynomials
Mon Jun  2 06:07:22 2008  attempting to build 78793 cycles
Mon Jun  2 06:07:22 2008  found 78793 cycles in 6 passes
Mon Jun  2 06:07:22 2008  distribution of cycle lengths:
Mon Jun  2 06:07:22 2008     length 1 : 19031
Mon Jun  2 06:07:22 2008     length 2 : 13437
Mon Jun  2 06:07:22 2008     length 3 : 13297
Mon Jun  2 06:07:22 2008     length 4 : 10751
Mon Jun  2 06:07:22 2008     length 5 : 8138
Mon Jun  2 06:07:22 2008     length 6 : 5588
Mon Jun  2 06:07:22 2008     length 7 : 3479
Mon Jun  2 06:07:22 2008     length 9+: 5072
Mon Jun  2 06:07:22 2008  largest cycle: 21 relations
Mon Jun  2 06:07:22 2008  matrix is 78667 x 78793 (21.6 MB) with weight 5352964 (67.94/col)
Mon Jun  2 06:07:22 2008  sparse part has weight 5352964 (67.94/col)
Mon Jun  2 06:07:24 2008  filtering completed in 3 passes
Mon Jun  2 06:07:24 2008  matrix is 75293 x 75357 (20.8 MB) with weight 5158753 (68.46/col)
Mon Jun  2 06:07:24 2008  sparse part has weight 5158753 (68.46/col)
Mon Jun  2 06:07:25 2008  saving the first 48 matrix rows for later
Mon Jun  2 06:07:25 2008  matrix is 75245 x 75357 (14.5 MB) with weight 4257881 (56.50/col)
Mon Jun  2 06:07:25 2008  sparse part has weight 3344104 (44.38/col)
Mon Jun  2 06:07:25 2008  matrix includes 64 packed rows
Mon Jun  2 06:07:25 2008  using block size 21845 for processor cache size 512 kB
Mon Jun  2 06:07:26 2008  commencing Lanczos iteration
Mon Jun  2 06:07:26 2008  memory use: 13.1 MB
Mon Jun  2 06:08:33 2008  lanczos halted after 1192 iterations (dim = 75245)
Mon Jun  2 06:08:34 2008  recovered 18 nontrivial dependencies
Mon Jun  2 06:08:35 2008  prp32 factor: 40715325956793234293671007002897
Mon Jun  2 06:08:35 2008  prp63 factor: 429436612371250961547371918499935905158308605193850743956973903
Mon Jun  2 06:08:35 2008  elapsed time 07:00:32

Pentium 4 2.4GHz, Windows XP and Cygwin)

3834409995297802479450589590989540133154932363025793470605211164994662097664440690758870100279911929656739581<109>

58757645619987456838275424826062650763<38>
65258060544098108161363500386786898008268259644863574985134074625486487<71>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 3834409995297802479450589590989540133154932363025793470605211164994662097664440690758870100279911929656739581 (109 digits)
Using B1=1268000, B2=1177534740, polynomial Dickson(6), sigma=3614384576
Step 1 took 9266ms
Step 2 took 5058ms
********** Factor found in step 2: 58757645619987456838275424826062650763
Found probable prime factor of 38 digits: 58757645619987456838275424826062650763
Probable prime cofactor 65258060544098108161363500386786898008268259644863574985134074625486487 has 71 digits

89072659850264170756976967685376613269951103797776933931526564748791659048610232104599430872583904101561584368217<113>

340739379185554837829678627965128592230514605529<48>
261409937598548866812402751089866267362790132318322972151795257473<66>

Number: 21117_117
N=89072659850264170756976967685376613269951103797776933931526564748791659048610232104599430872583904101561584368217
  ( 113 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=340739379185554837829678627965128592230514605529 (pp48)
 r2=261409937598548866812402751089866267362790132318322972151795257473 (pp66)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.90 hours.
Scaled time: 7.82 units (timescale=2.003).
Factorization parameters were as follows:
name: 21117_117
n: 89072659850264170756976967685376613269951103797776933931526564748791659048610232104599430872583904101561584368217
m: 100000000000000000000000
c5: 1900
c0: 53
skew: 0.49
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:63753, largePrimes:2477594 encountered
Relations: rels:2999016, finalFF:614924
Max relations in full relation-set: 28
Initial matrix: 112918 x 614924 with sparse part having weight 56713889.
Pruned matrix : 73573 x 74201 with weight 7485835.
Total sieving time: 3.76 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,118,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.90 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

223230047826642066205521963974483683939638118880420228496218591190724410961696681286005167031723555005241<105>

355681218568581823872236281324646653<36>
627612694100122250224375210065246217931458194520185206310045788028397<69>

Number: 21117_118
N=223230047826642066205521963974483683939638118880420228496218591190724410961696681286005167031723555005241
  ( 105 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=355681218568581823872236281324646653 (pp36)
 r2=627612694100122250224375210065246217931458194520185206310045788028397 (pp69)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.31 hours.
Scaled time: 6.60 units (timescale=1.991).
Factorization parameters were as follows:
name: 21117_118
n: 223230047826642066205521963974483683939638118880420228496218591190724410961696681286005167031723555005241
m: 100000000000000000000000
c5: 19000
c0: 53
skew: 0.31
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:63858, largePrimes:2468293 encountered
Relations: rels:2965236, finalFF:582489
Max relations in full relation-set: 28
Initial matrix: 113023 x 582489 with sparse part having weight 56724991.
Pruned matrix : 76137 x 76766 with weight 9107278.
Total sieving time: 3.16 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,119,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.31 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

2116006938759055201081299150385079711667157232288061779372701201257089798938424952493683560749341671<100>

589368244104645491805519232085371347662733937127<48>
3590296830419907767433446957296372459019708981878273<52>

Number: n
N=2116006938759055201081299150385079711667157232288061779372701201257089798938424952493683560749341671
  ( 100 digits)
SNFS difficulty: 123 digits.
Divisors found:

Mon Jun 02 00:23:15 2008  prp48 factor: 589368244104645491805519232085371347662733937127
Mon Jun 02 00:23:15 2008  prp52 factor: 3590296830419907767433446957296372459019708981878273
Mon Jun 02 00:23:15 2008  elapsed time 00:13:21 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.61 hours.
Scaled time: 2.94 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_2_1_121_7
n: 2116006938759055201081299150385079711667157232288061779372701201257089798938424952493683560749341671
skew: 0.49
deg: 5
c5: 1900
c0: 53
m: 1000000000000000000000000
type: snfs
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 280337)
Primes: RFBsize:78498, AFBsize:78301, largePrimes:4407787 encountered
Relations: rels:3743887, finalFF:172633
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 1.55 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000
total time: 1.61 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

22957416255699530501295404822326167390114094473872188918375242049826145386407603389399279197768288688392912359<110>

2320545677943061507893706868698246585867969028650453<52>
9893111122056882575541062637026092122141686702534903437003<58>

Number: 21117_124
N=22957416255699530501295404822326167390114094473872188918375242049826145386407603389399279197768288688392912359
  ( 110 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=2320545677943061507893706868698246585867969028650453 (pp52)
 r2=9893111122056882575541062637026092122141686702534903437003 (pp58)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.45 hours.
Scaled time: 6.93 units (timescale=2.010).
Factorization parameters were as follows:
name: 21117_124
n: 22957416255699530501295404822326167390114094473872188918375242049826145386407603389399279197768288688392912359
m: 10000000000000000000000000
c5: 19
c0: 530
skew: 1.95
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 750001)
Primes: RFBsize:49098, AFBsize:64098, largePrimes:2259309 encountered
Relations: rels:2381189, finalFF:206711
Max relations in full relation-set: 28
Initial matrix: 113261 x 206711 with sparse part having weight 21468806.
Pruned matrix : 99556 x 100186 with weight 8063758.
Total sieving time: 3.27 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.45 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

305813259901348875505100926497148986989091453916083398966422966908277463737129647551735449182057900370877<105>

103864082049619335708579914537850517920687452179<48>
2944360108581633473932191940997116495964585541314631028463<58>

Number: 21117_126
N=305813259901348875505100926497148986989091453916083398966422966908277463737129647551735449182057900370877
  ( 105 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=103864082049619335708579914537850517920687452179 (pp48)
 r2=2944360108581633473932191940997116495964585541314631028463 (pp58)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.39 hours.
Scaled time: 6.76 units (timescale=1.997).
Factorization parameters were as follows:
name: 21117_126
n: 305813259901348875505100926497148986989091453916083398966422966908277463737129647551735449182057900370877
m: 10000000000000000000000000
c5: 190
c0: 53
skew: 0.77
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 750001)
Primes: RFBsize:49098, AFBsize:63698, largePrimes:2194925 encountered
Relations: rels:2237426, finalFF:145939
Max relations in full relation-set: 28
Initial matrix: 112863 x 145939 with sparse part having weight 14497090.
Pruned matrix : 107817 x 108445 with weight 8805731.
Total sieving time: 3.20 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.39 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

566411601860153100701394847632673604425475046837779231967780131659685243669308032364681161978741629<99>

291916727489587673555967133607481146004727<42>
1940319099666381182533341297772978664273656217246287082027<58>

Number: 21117_127
N=566411601860153100701394847632673604425475046837779231967780131659685243669308032364681161978741629
  ( 99 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=291916727489587673555967133607481146004727 (pp42)
 r2=1940319099666381182533341297772978664273656217246287082027 (pp58)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.45 hours.
Scaled time: 8.94 units (timescale=2.010).
Factorization parameters were as follows:
name: 21117_127
n: 566411601860153100701394847632673604425475046837779231967780131659685243669308032364681161978741629
m: 10000000000000000000000000
c5: 1900
c0: 53
skew: 0.49
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:63753, largePrimes:1434124 encountered
Relations: rels:1402381, finalFF:144834
Max relations in full relation-set: 28
Initial matrix: 127771 x 144834 with sparse part having weight 9933985.
Pruned matrix : 122878 x 123580 with weight 7074809.
Total sieving time: 4.27 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.45 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

30158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158731<128>

271141390923736296890969959857913248646126105732399<51>
111228794895475322398277643129562837424306229357728734610117553484069301696869<78>

Number: n
N=30158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158731
  ( 128 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=271141390923736296890969959857913248646126105732399 (pp51)
 r2=111228794895475322398277643129562837424306229357728734610117553484069301696869 (pp78)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.76 hours.
Scaled time: 5.03 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_2_1_127_7
n: 30158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158731
skew: 0.49
deg: 5
c5: 19000
c0: 53
m: 10000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 420001)
Primes: RFBsize:114155, AFBsize:114222, largePrimes:5215005 encountered
Relations: rels:4612501, finalFF:288380
Max relations in full relation-set: 48
Initial matrix: 228444 x 288380 with sparse part having weight 17831781.
Pruned matrix : 180854 x 182060 with weight 8358571.
Total sieving time: 2.48 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.14 hours.
Total square root time: 0.04 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,50000
total time: 2.76 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

3637126116603157908916080743469907732373168181016890173585191244364727938683418468784020814756624198363984843499095991<118>

32446483245581804133518445040362730189<38>
112096158128274832108557939489689899902140999040333373890236189338415740274281619<81>

Number: 21117_129
N=3637126116603157908916080743469907732373168181016890173585191244364727938683418468784020814756624198363984843499095991
  ( 118 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=32446483245581804133518445040362730189 (pp38)
 r2=112096158128274832108557939489689899902140999040333373890236189338415740274281619 (pp81)
Version: GGNFS-0.77.1-20060513-k8
Total time: 6.11 hours.
Scaled time: 12.20 units (timescale=1.997).
Factorization parameters were as follows:
name: 21117_129
n: 3637126116603157908916080743469907732373168181016890173585191244364727938683418468784020814756624198363984843499095991
m: 100000000000000000000000000
c5: 19
c0: 530
skew: 1.95
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1150001)
Primes: RFBsize:63951, AFBsize:64098, largePrimes:1511991 encountered
Relations: rels:1492598, finalFF:146143
Max relations in full relation-set: 28
Initial matrix: 128114 x 146143 with sparse part having weight 13064371.
Pruned matrix : 123752 x 124456 with weight 9702245.
Total sieving time: 5.90 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.11 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

4481544702665670260142350017053071939841557981489925134501982700492970878648611368462978938115754134863<103>

274774136419884955287483432737<30>
16309921890964946701578150469724656682279803131647250107014492259289394799<74>

Number: 21117_132
N=4481544702665670260142350017053071939841557981489925134501982700492970878648611368462978938115754134863
  ( 103 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=274774136419884955287483432737 (pp30)
 r2=16309921890964946701578150469724656682279803131647250107014492259289394799 (pp74)
Version: GGNFS-0.77.1-20060513-k8
Total time: 7.69 hours.
Scaled time: 15.49 units (timescale=2.016).
Factorization parameters were as follows:
name: 21117_132
n: 4481544702665670260142350017053071939841557981489925134501982700492970878648611368462978938115754134863
m: 100000000000000000000000000
c5: 1900
c0: 53
skew: 0.49
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1450001)
Primes: RFBsize:63951, AFBsize:63753, largePrimes:1604706 encountered
Relations: rels:1630922, finalFF:175301
Max relations in full relation-set: 28
Initial matrix: 127771 x 175301 with sparse part having weight 17797755.
Pruned matrix : 117290 x 117992 with weight 10304530.
Total sieving time: 7.45 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 7.69 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

723453997844868616946338751623011929375659199859878383575309657349340704948806110520924954974507765707518971629180326620441763857<129>

4513613610675304606872458634030936047<37>
160282660468278098339555574832288507693386513616326522786634467104125332769066378678664671231<93>

Number: n
N=723453997844868616946338751623011929375659199859878383575309657349340704948806110520924954974507765707518971629180326620441763857
  ( 129 digits)
SNFS difficulty: 134 digits.
Divisors found:

Mon Jun 02 13:50:41 2008  prp37 factor: 4513613610675304606872458634030936047
Mon Jun 02 13:50:41 2008  prp93 factor: 160282660468278098339555574832288507693386513616326522786634467104125332769066378678664671231
Mon Jun 02 13:50:41 2008  elapsed time 00:18:55 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.56 hours.
Scaled time: 6.52 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_1_132_7
n: 723453997844868616946338751623011929375659199859878383575309657349340704948806110520924954974507765707518971629180326620441763857
skew: 0.31
deg: 5
c5: 19000
c0: 53
m: 100000000000000000000000000
type: snfs
rlim: 1600000
alim: 1600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 560001)
Primes: RFBsize:121127, AFBsize:121110, largePrimes:5674008 encountered
Relations: rels:5002947, finalFF:281155
Max relations in full relation-set: 28
Initial matrix: 242304 x 281155 with sparse part having weight 20748030.
Pruned matrix : 
Total sieving time: 3.46 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1600000,1600000,28,28,48,48,2.5,2.5,75000
total time: 3.56 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

16213918362223489302223535692633389562153429015595671952321814050862732998694287615956975520679013858527672865365139183702801<125>

5403622215874456846832096554592058096621793<43>
3000564753507592297355998545136918553987659979517034764910691658674627703147614257<82>

Number: 21117_134
N=16213918362223489302223535692633389562153429015595671952321814050862732998694287615956975520679013858527672865365139183702801
  ( 125 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=5403622215874456846832096554592058096621793 (pp43)
 r2=3000564753507592297355998545136918553987659979517034764910691658674627703147614257 (pp82)
Version: GGNFS-0.77.1-20060513-k8
Total time: 10.54 hours.
Scaled time: 20.86 units (timescale=1.979).
Factorization parameters were as follows:
name: 21117_134
n: 16213918362223489302223535692633389562153429015595671952321814050862732998694287615956975520679013858527672865365139183702801
m: 1000000000000000000000000000
c5: 19
c0: 530
skew: 1.95
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1675001)
Primes: RFBsize:78498, AFBsize:64098, largePrimes:1614720 encountered
Relations: rels:1625307, finalFF:171469
Max relations in full relation-set: 28
Initial matrix: 142661 x 171469 with sparse part having weight 16936085.
Pruned matrix : 134817 x 135594 with weight 11860232.
Total sieving time: 10.24 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 10.54 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

736185361217064049236247539127012918759713514368891194303392952937676728083414902290966389901787<96>

153982827554613533780693879837<30>
4780957545125991811271590664511031750645306007121798055625197067351<67>

Mon Jun  2 06:17:46 2008  Msieve v. 1.35
Mon Jun  2 06:17:46 2008  random seeds: fbc554e4 1547fed8
Mon Jun  2 06:17:46 2008  factoring 736185361217064049236247539127012918759713514368891194303392952937676728083414902290966389901787 (96 digits)
Mon Jun  2 06:17:48 2008  searching for 15-digit factors
Mon Jun  2 06:17:50 2008  commencing quadratic sieve (96-digit input)
Mon Jun  2 06:17:50 2008  using multiplier of 3
Mon Jun  2 06:17:50 2008  using 64kb Pentium 4 sieve core
Mon Jun  2 06:17:50 2008  sieve interval: 18 blocks of size 65536
Mon Jun  2 06:17:50 2008  processing polynomials in batches of 6
Mon Jun  2 06:17:50 2008  using a sieve bound of 2299951 (84630 primes)
Mon Jun  2 06:17:50 2008  using large prime bound of 344992650 (28 bits)
Mon Jun  2 06:17:50 2008  using double large prime bound of 2333767984535850 (43-52 bits)
Mon Jun  2 06:17:50 2008  using trial factoring cutoff of 52 bits
Mon Jun  2 06:17:50 2008  polynomial 'A' values have 12 factors
Mon Jun  2 15:43:57 2008  84765 relations (20102 full + 64663 combined from 1294956 partial), need 84726
Mon Jun  2 15:44:02 2008  begin with 1315058 relations
Mon Jun  2 15:44:04 2008  reduce to 225164 relations in 11 passes
Mon Jun  2 15:44:04 2008  attempting to read 225164 relations
Mon Jun  2 15:44:11 2008  recovered 225164 relations
Mon Jun  2 15:44:11 2008  recovered 212776 polynomials
Mon Jun  2 15:44:12 2008  attempting to build 84765 cycles
Mon Jun  2 15:44:12 2008  found 84765 cycles in 6 passes
Mon Jun  2 15:44:12 2008  distribution of cycle lengths:
Mon Jun  2 15:44:12 2008     length 1 : 20102
Mon Jun  2 15:44:12 2008     length 2 : 14231
Mon Jun  2 15:44:12 2008     length 3 : 13930
Mon Jun  2 15:44:12 2008     length 4 : 11635
Mon Jun  2 15:44:12 2008     length 5 : 9103
Mon Jun  2 15:44:12 2008     length 6 : 6090
Mon Jun  2 15:44:12 2008     length 7 : 3877
Mon Jun  2 15:44:12 2008     length 9+: 5797
Mon Jun  2 15:44:12 2008  largest cycle: 19 relations
Mon Jun  2 15:44:12 2008  matrix is 84630 x 84765 (23.9 MB) with weight 5923925 (69.89/col)
Mon Jun  2 15:44:12 2008  sparse part has weight 5923925 (69.89/col)
Mon Jun  2 15:44:14 2008  filtering completed in 3 passes
Mon Jun  2 15:44:14 2008  matrix is 81223 x 81287 (23.1 MB) with weight 5721340 (70.38/col)
Mon Jun  2 15:44:14 2008  sparse part has weight 5721340 (70.38/col)
Mon Jun  2 15:44:15 2008  saving the first 48 matrix rows for later
Mon Jun  2 15:44:15 2008  matrix is 81175 x 81287 (17.2 MB) with weight 4837727 (59.51/col)
Mon Jun  2 15:44:15 2008  sparse part has weight 4015307 (49.40/col)
Mon Jun  2 15:44:15 2008  matrix includes 64 packed rows
Mon Jun  2 15:44:15 2008  using block size 21845 for processor cache size 512 kB
Mon Jun  2 15:44:16 2008  commencing Lanczos iteration
Mon Jun  2 15:44:16 2008  memory use: 15.0 MB
Mon Jun  2 15:45:40 2008  lanczos halted after 1285 iterations (dim = 81173)
Mon Jun  2 15:45:40 2008  recovered 16 nontrivial dependencies
Mon Jun  2 15:45:42 2008  prp30 factor: 153982827554613533780693879837
Mon Jun  2 15:45:42 2008  prp67 factor: 4780957545125991811271590664511031750645306007121798055625197067351
Mon Jun  2 15:45:42 2008  elapsed time 09:27:56

Pentium 4 2.4GHz, Windows XP and Cygwin)

272649784543286484353458858998895636915729586982983343115143995077391372451259913491595012147602548682322897<108>

510099375329014604799283301482189<33>
838519257079062659185170193098878123<36>
637437084815224855533017008762999621951<39>

GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Input number is 272649784543286484353458858998895636915729586982983343115143995077391372451259913491595012147602548682322897 (108 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=823561321
Step 1 took 5103ms
Step 2 took 2460ms
********** Factor found in step 2: 510099375329014604799283301482189
Found probable prime factor of 33 digits: 510099375329014604799283301482189
Composite cofactor 534503270793905799138212310001265257409229574257419045318153661011224477973 has 75 digits

Mon Jun  2 11:12:44 2008  
Mon Jun  2 11:12:44 2008  
Mon Jun  2 11:12:44 2008  Msieve v. 1.34
Mon Jun  2 11:12:44 2008  random seeds: eb11b0bc f0692308
Mon Jun  2 11:12:44 2008  factoring 534503270793905799138212310001265257409229574257419045318153661011224477973 (75 digits)
Mon Jun  2 11:12:44 2008  no P-1/P+1/ECM available, skipping
Mon Jun  2 11:12:44 2008  commencing quadratic sieve (75-digit input)
Mon Jun  2 11:12:44 2008  using multiplier of 29
Mon Jun  2 11:12:44 2008  using 32kb Intel Core sieve core
Mon Jun  2 11:12:44 2008  sieve interval: 12 blocks of size 32768
Mon Jun  2 11:12:44 2008  processing polynomials in batches of 17
Mon Jun  2 11:12:44 2008  using a sieve bound of 667091 (26908 primes)
Mon Jun  2 11:12:44 2008  using large prime bound of 66709100 (25 bits)
Mon Jun  2 11:12:44 2008  using trial factoring cutoff of 26 bits
Mon Jun  2 11:12:44 2008  polynomial 'A' values have 10 factors
Mon Jun  2 11:15:58 2008  27434 relations (14226 full + 13208 combined from 147476 partial), need 27004
Mon Jun  2 11:15:58 2008  begin with 161702 relations
Mon Jun  2 11:15:58 2008  reduce to 38984 relations in 2 passes
Mon Jun  2 11:15:58 2008  attempting to read 38984 relations
Mon Jun  2 11:15:58 2008  recovered 38984 relations
Mon Jun  2 11:15:58 2008  recovered 30274 polynomials
Mon Jun  2 11:15:58 2008  attempting to build 27434 cycles
Mon Jun  2 11:15:58 2008  found 27434 cycles in 1 passes
Mon Jun  2 11:15:58 2008  distribution of cycle lengths:
Mon Jun  2 11:15:58 2008     length 1 : 14226
Mon Jun  2 11:15:58 2008     length 2 : 13208
Mon Jun  2 11:15:58 2008  largest cycle: 2 relations
Mon Jun  2 11:15:58 2008  matrix is 26908 x 27434 (4.0 MB) with weight 827908 (30.18/col)
Mon Jun  2 11:15:58 2008  sparse part has weight 827908 (30.18/col)
Mon Jun  2 11:15:58 2008  filtering completed in 5 passes
Mon Jun  2 11:15:58 2008  matrix is 23022 x 23086 (3.3 MB) with weight 677687 (29.35/col)
Mon Jun  2 11:15:58 2008  sparse part has weight 677687 (29.35/col)
Mon Jun  2 11:15:59 2008  saving the first 48 matrix rows for later
Mon Jun  2 11:15:59 2008  matrix is 22974 x 23086 (2.3 MB) with weight 496279 (21.50/col)
Mon Jun  2 11:15:59 2008  sparse part has weight 359701 (15.58/col)
Mon Jun  2 11:15:59 2008  matrix includes 64 packed rows
Mon Jun  2 11:15:59 2008  commencing Lanczos iteration
Mon Jun  2 11:15:59 2008  memory use: 3.1 MB
Mon Jun  2 11:16:04 2008  lanczos halted after 364 iterations (dim = 22967)
Mon Jun  2 11:16:05 2008  recovered 14 nontrivial dependencies
Mon Jun  2 11:16:05 2008  prp36 factor: 838519257079062659185170193098878123
Mon Jun  2 11:16:05 2008  prp39 factor: 637437084815224855533017008762999621951
Mon Jun  2 11:16:05 2008  elapsed time 00:03:21

Core 2 Quad Q6700

378699054901902081739421275414128653081310010809454075711845569972130486756125779321498871746559742832580196694097046465935403300163<132>

27198025104878136528579769327922885245327<41>
13923770326764645462911775434681406383095756757842407468021553475546864212753687318351193869<92>

Number: n
N=378699054901902081739421275414128653081310010809454075711845569972130486756125779321498871746559742832580196694097046465935403300163
  ( 132 digits)
SNFS difficulty: 142 digits.
Divisors found:

Tue Jun 03 04:22:47 2008  prp41 factor: 27198025104878136528579769327922885245327
Tue Jun 03 04:22:47 2008  prp92 factor: 13923770326764645462911775434681406383095756757842407468021553475546864212753687318351193869
Tue Jun 03 04:22:47 2008  elapsed time 00:24:28 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 5.78 hours.
Scaled time: 10.50 units (timescale=1.817).
Factorization parameters were as follows:
name: KA_2_1_140_7
n: 378699054901902081739421275414128653081310010809454075711845569972130486756125779321498871746559742832580196694097046465935403300163
skew: 0.77
deg: 5
c5: 190
c0: 53
m: 10000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 960581)
Primes: RFBsize:148933, AFBsize:149140, largePrimes:6361799 encountered
Relations: rels:5656427, finalFF:321577
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 5.59 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,100000
total time: 5.78 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

2642993366127800393414430806581459942303114996968280892797448071154662899280821918339828161151241489527879253<109>

113218888779812679914545263801430398846511411<45>
23344102690036781800016467479390952616696847561433570010070708823<65>

Number: 21117_143
N=2642993366127800393414430806581459942303114996968280892797448071154662899280821918339828161151241489527879253
  ( 109 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=113218888779812679914545263801430398846511411 (pp45)
 r2=23344102690036781800016467479390952616696847561433570010070708823 (pp65)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 29.34 hours.
Scaled time: 19.86 units (timescale=0.677).
Factorization parameters were as follows:
name: 21117_143
n: 2642993366127800393414430806581459942303114996968280892797448071154662899280821918339828161151241489527879253
m: 10000000000000000000000000000
c5: 19000
c0: 53
skew: 0.31
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 3550001)
Primes: RFBsize:100021, AFBsize:100113, largePrimes:3009325 encountered
Relations: rels:3070164, finalFF:227045
Max relations in full relation-set: 28
Initial matrix: 200201 x 227045 with sparse part having weight 29056454.
Pruned matrix : 193665 x 194730 with weight 23731295.
Total sieving time: 27.51 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 1.46 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 29.34 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

385467213186848311654808549004712309847359247130531463837047964694710049428655567891140966649<93>

59460061664238851775266882472133<32>
6482792018674955359906067036006848637517667147841276577049253<61>

Mon Jun  2 17:39:49 2008  Msieve v. 1.35
Mon Jun  2 17:39:49 2008  random seeds: ecb5fe42 7f1f0941
Mon Jun  2 17:39:49 2008  factoring 385467213186848311654808549004712309847359247130531463837047964694710049428655567891140966649 (93 digits)
Mon Jun  2 17:39:51 2008  searching for 15-digit factors
Mon Jun  2 17:39:53 2008  commencing quadratic sieve (93-digit input)
Mon Jun  2 17:39:53 2008  using multiplier of 1
Mon Jun  2 17:39:53 2008  using 64kb Pentium 4 sieve core
Mon Jun  2 17:39:53 2008  sieve interval: 18 blocks of size 65536
Mon Jun  2 17:39:53 2008  processing polynomials in batches of 6
Mon Jun  2 17:39:53 2008  using a sieve bound of 1914511 (71765 primes)
Mon Jun  2 17:39:53 2008  using large prime bound of 231655831 (27 bits)
Mon Jun  2 17:39:53 2008  using double large prime bound of 1139509009637394 (42-51 bits)
Mon Jun  2 17:39:53 2008  using trial factoring cutoff of 51 bits
Mon Jun  2 17:39:53 2008  polynomial 'A' values have 12 factors
Mon Jun  2 21:14:02 2008  72278 relations (18172 full + 54106 combined from 957428 partial), need 71861
Mon Jun  2 21:14:06 2008  begin with 975600 relations
Mon Jun  2 21:14:07 2008  reduce to 184070 relations in 13 passes
Mon Jun  2 21:14:07 2008  attempting to read 184070 relations
Mon Jun  2 21:14:12 2008  recovered 184070 relations
Mon Jun  2 21:14:12 2008  recovered 162815 polynomials
Mon Jun  2 21:14:13 2008  attempting to build 72278 cycles
Mon Jun  2 21:14:13 2008  found 72278 cycles in 6 passes
Mon Jun  2 21:14:13 2008  distribution of cycle lengths:
Mon Jun  2 21:14:13 2008     length 1 : 18172
Mon Jun  2 21:14:13 2008     length 2 : 13053
Mon Jun  2 21:14:13 2008     length 3 : 12368
Mon Jun  2 21:14:13 2008     length 4 : 9884
Mon Jun  2 21:14:13 2008     length 5 : 7240
Mon Jun  2 21:14:13 2008     length 6 : 4805
Mon Jun  2 21:14:13 2008     length 7 : 2998
Mon Jun  2 21:14:13 2008     length 9+: 3758
Mon Jun  2 21:14:13 2008  largest cycle: 22 relations
Mon Jun  2 21:14:13 2008  matrix is 71765 x 72278 (17.3 MB) with weight 4257237 (58.90/col)
Mon Jun  2 21:14:13 2008  sparse part has weight 4257237 (58.90/col)
Mon Jun  2 21:14:15 2008  filtering completed in 3 passes
Mon Jun  2 21:14:15 2008  matrix is 67846 x 67910 (16.3 MB) with weight 4001883 (58.93/col)
Mon Jun  2 21:14:15 2008  sparse part has weight 4001883 (58.93/col)
Mon Jun  2 21:14:15 2008  saving the first 48 matrix rows for later
Mon Jun  2 21:14:15 2008  matrix is 67798 x 67910 (8.9 MB) with weight 2957170 (43.55/col)
Mon Jun  2 21:14:15 2008  sparse part has weight 1922201 (28.31/col)
Mon Jun  2 21:14:15 2008  matrix includes 64 packed rows
Mon Jun  2 21:14:15 2008  using block size 21845 for processor cache size 512 kB
Mon Jun  2 21:14:16 2008  commencing Lanczos iteration
Mon Jun  2 21:14:16 2008  memory use: 9.6 MB
Mon Jun  2 21:14:59 2008  lanczos halted after 1073 iterations (dim = 67795)
Mon Jun  2 21:14:59 2008  recovered 15 nontrivial dependencies
Mon Jun  2 21:15:02 2008  prp32 factor: 59460061664238851775266882472133
Mon Jun  2 21:15:02 2008  prp61 factor: 6482792018674955359906067036006848637517667147841276577049253
Mon Jun  2 21:15:02 2008  elapsed time 03:35:13

Pentium 4 2.4GHz, Windows XP and Cygwin)

25340297860797394889344720836408011711272059346124022059556181754326692481494947404678035044484959579624197247704892546000676159168919319119<140>

58331886632896092336330712812119256134195174608064860440080724285391<68>
434415879950414804346950736783159062697316149855191019881795289997876609<72>

Number: n
N=25340297860797394889344720836408011711272059346124022059556181754326692481494947404678035044484959579624197247704892546000676159168919319119
  ( 140 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=58331886632896092336330712812119256134195174608064860440080724285391 (pp68)
 r2=434415879950414804346950736783159062697316149855191019881795289997876609 (pp72)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 9.19 hours.
Scaled time: 16.71 units (timescale=1.819).
Factorization parameters were as follows:
name: KA_2_1_145_7
n: 25340297860797394889344720836408011711272059346124022059556181754326692481494947404678035044484959579624197247704892546000676159168919319119
skew: 0.77
deg: 5
c5: 190
c0: 53
m: 100000000000000000000000000000
type: snfs
rlim: 2400000
alim: 2400000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:176302, AFBsize:176488, largePrimes:6869920 encountered
Relations: rels:6255073, finalFF:414560
Max relations in full relation-set: 48
Initial matrix: 352857 x 414560 with sparse part having weight 36005432.
Pruned matrix : 309414 x 311242 with weight 21939980.
Total sieving time: 8.14 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.76 hours.
Total square root time: 0.10 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,48,48,2.5,2.5,100000
total time: 9.19 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

11319575601369034829580537568191960657052642282608078063135992672601045638966210825359729<89>

362057969379015044200712589221264255659<39>
31264539269177925749669527557963065564867851547731<50>

Mon Jun  2 15:54:31 2008  Msieve v. 1.35
Mon Jun  2 15:54:31 2008  random seeds: 05a7b83d b339eb60
Mon Jun  2 15:54:31 2008  factoring 11319575601369034829580537568191960657052642282608078063135992672601045638966210825359729 (89 digits)
Mon Jun  2 15:54:33 2008  searching for 15-digit factors
Mon Jun  2 15:54:34 2008  commencing quadratic sieve (89-digit input)
Mon Jun  2 15:54:34 2008  using multiplier of 1
Mon Jun  2 15:54:34 2008  using 64kb Pentium 4 sieve core
Mon Jun  2 15:54:34 2008  sieve interval: 14 blocks of size 65536
Mon Jun  2 15:54:34 2008  processing polynomials in batches of 8
Mon Jun  2 15:54:34 2008  using a sieve bound of 1536389 (58333 primes)
Mon Jun  2 15:54:34 2008  using large prime bound of 122911120 (26 bits)
Mon Jun  2 15:54:34 2008  using double large prime bound of 364136361200880 (42-49 bits)
Mon Jun  2 15:54:34 2008  using trial factoring cutoff of 49 bits
Mon Jun  2 15:54:34 2008  polynomial 'A' values have 11 factors
Mon Jun  2 17:24:07 2008  58499 relations (15792 full + 42707 combined from 617918 partial), need 58429
Mon Jun  2 17:24:09 2008  begin with 633710 relations
Mon Jun  2 17:24:10 2008  reduce to 142214 relations in 11 passes
Mon Jun  2 17:24:10 2008  attempting to read 142214 relations
Mon Jun  2 17:24:13 2008  recovered 142214 relations
Mon Jun  2 17:24:13 2008  recovered 118727 polynomials
Mon Jun  2 17:24:14 2008  attempting to build 58499 cycles
Mon Jun  2 17:24:14 2008  found 58499 cycles in 5 passes
Mon Jun  2 17:24:14 2008  distribution of cycle lengths:
Mon Jun  2 17:24:14 2008     length 1 : 15792
Mon Jun  2 17:24:14 2008     length 2 : 11349
Mon Jun  2 17:24:14 2008     length 3 : 10193
Mon Jun  2 17:24:14 2008     length 4 : 7776
Mon Jun  2 17:24:14 2008     length 5 : 5432
Mon Jun  2 17:24:14 2008     length 6 : 3467
Mon Jun  2 17:24:14 2008     length 7 : 2040
Mon Jun  2 17:24:14 2008     length 9+: 2450
Mon Jun  2 17:24:14 2008  largest cycle: 18 relations
Mon Jun  2 17:24:14 2008  matrix is 58333 x 58499 (13.8 MB) with weight 3374198 (57.68/col)
Mon Jun  2 17:24:14 2008  sparse part has weight 3374198 (57.68/col)
Mon Jun  2 17:24:15 2008  filtering completed in 3 passes
Mon Jun  2 17:24:15 2008  matrix is 54272 x 54335 (12.9 MB) with weight 3169633 (58.34/col)
Mon Jun  2 17:24:15 2008  sparse part has weight 3169633 (58.34/col)
Mon Jun  2 17:24:15 2008  saving the first 48 matrix rows for later
Mon Jun  2 17:24:15 2008  matrix is 54224 x 54335 (8.5 MB) with weight 2506354 (46.13/col)
Mon Jun  2 17:24:15 2008  sparse part has weight 1906309 (35.08/col)
Mon Jun  2 17:24:15 2008  matrix includes 64 packed rows
Mon Jun  2 17:24:15 2008  using block size 21734 for processor cache size 512 kB
Mon Jun  2 17:24:16 2008  commencing Lanczos iteration
Mon Jun  2 17:24:16 2008  memory use: 8.2 MB
Mon Jun  2 17:24:47 2008  lanczos halted after 858 iterations (dim = 54222)
Mon Jun  2 17:24:47 2008  recovered 15 nontrivial dependencies
Mon Jun  2 17:24:48 2008  prp39 factor: 362057969379015044200712589221264255659
Mon Jun  2 17:24:48 2008  prp50 factor: 31264539269177925749669527557963065564867851547731
Mon Jun  2 17:24:48 2008  elapsed time 01:30:17

Pentium 4 2.4GHz, Windows XP and Cygwin)

2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<151>

9985015037288028821227614289837<31>
211427935083460583094406150513915501270969623409084899062206666680722548922350472589902425296793812587271223307267489441<120>

Number: 21117_150
N=2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
  ( 151 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=9985015037288028821227614289837 (pp31)
 r2=211427935083460583094406150513915501270969623409084899062206666680722548922350472589902425296793812587271223307267489441 (pp120)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 14.11 hours.
Scaled time: 33.61 units (timescale=2.382).
Factorization parameters were as follows:
n: 2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
m: 1000000000000000000000000000000
c5: 19
c0: 53
skew: 1.23
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2200001)
Primes: RFBsize:176302, AFBsize:177173, largePrimes:5510831 encountered
Relations: rels:5384542, finalFF:442565
Max relations in full relation-set: 28
Initial matrix: 353540 x 442565 with sparse part having weight 39552834.
Pruned matrix : 316742 x 318573 with weight 24798877.
Total sieving time: 13.43 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 14.11 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: 8047200k/8912896k available (2440k kernel code, 339088k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 5347.62 BogoMIPS (lpj=2673811)
Calibrating delay using timer specific routine.. 5214.21 BogoMIPS (lpj=2607107)
Calibrating delay using timer specific routine.. 5344.19 BogoMIPS (lpj=2672095)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672350)

Core 2 Quad Q6700

421548434642298635067245499858189780855963517184294121673147892868581238049980895146232704403663085255385064268683122684997<123>

10802596959816835717153878679789093<35>
510747305679292439904818708357078624189<39>
76403494685203056879146028205246866036211171137461<50>

Number: 21117_151
N=421548434642298635067245499858189780855963517184294121673147892868581238049980895146232704403663085255385064268683122684997
  ( 123 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=10802596959816835717153878679789093 (pp35)
 r2=510747305679292439904818708357078624189 (pp39)
 r3=76403494685203056879146028205246866036211171137461 (pp50)
Version: GGNFS-0.77.1-20060513-k8
Total time: 30.64 hours.
Scaled time: 61.38 units (timescale=2.003).
Factorization parameters were as follows:
name: 21117_151
n: 421548434642298635067245499858189780855963517184294121673147892868581238049980895146232704403663085255385064268683122684997
m: 1000000000000000000000000000000
c5: 190
c0: 53
skew: 0.77
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2300001)
Primes: RFBsize:176302, AFBsize:176488, largePrimes:5745499 encountered
Relations: rels:5739824, finalFF:530707
Max relations in full relation-set: 28
Initial matrix: 352857 x 530707 with sparse part having weight 50577699.
Pruned matrix : 289862 x 291690 with weight 27680081.
Total sieving time: 29.18 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.16 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 30.64 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

93855799166746640492272622125497718479246182956099212617130611814947101236895121008505256986359336706235937868323<113>

49440282722308466810657310201766051159457<41>
1898366959062654878216846059729855418347441491497031988617483026838153539<73>

Number: n
N=93855799166746640492272622125497718479246182956099212617130611814947101236895121008505256986359336706235937868323
  ( 113 digits)
Divisors found:

Thu Jun  5 01:27:19 2008  prp41 factor: 49440282722308466810657310201766051159457
Thu Jun  5 01:27:19 2008  prp73 factor: 1898366959062654878216846059729855418347441491497031988617483026838153539
Thu Jun  5 01:27:19 2008  elapsed time 00:54:53 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 25.54 hours.
Scaled time: 21.33 units (timescale=0.835).
Factorization parameters were as follows:
name: KA_2_1_152_7
n: 93855799166746640492272622125497718479246182956099212617130611814947101236895121008505256986359336706235937868323
skew: 11116.69
# norm 1.92e+15
c5: 103440
c4: 11953367872
c3: 15928492693912
c2: -722423903459076173
c1: 1332711082941591543402
c0: -5152737654335827118703105
# alpha -5.25
Y1: 725795780941
Y0: -3904385166972887532266
# Murphy_E 6.57e-10
# M 41592232628683845462355480330603808426187404799596563145996588259114680645002794406922771259457385042957096841561
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 1600097)
Primes: RFBsize:250150, AFBsize:250146, largePrimes:6949358 encountered
Relations: rels:6614567, finalFF:545217
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 25.35 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 25.54 hours.
 --------- CPU info (if available) ----------

12733392272788196721533799452679812420667520001561900596339055608043547315724683248134435312100494783167849312566540301867332654682056236748093<143>

9327754593722757997158137149780069754362391<43>
1365107984440039824790803736415625965715893749320105011201077904595167216578438035906087890833714123<100>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 12733392272788196721533799452679812420667520001561900596339055608043547315724683248134435312100494783167849312566540301867332654682056236748093 (143 digits)
Using B1=1946000, B2=2167831271, polynomial Dickson(6), sigma=3275056328
Step 1 took 28047ms
Step 2 took 14593ms
********** Factor found in step 2: 9327754593722757997158137149780069754362391
Found probable prime factor of 43 digits: 9327754593722757997158137149780069754362391
Probable prime cofactor 1365107984440039824790803736415625965715893749320105011201077904595167216578438035906087890833714123 has 100 digits

7807501885162042185494687231351594438129117045167818043730193057217354132348250484993627123648150247334058297005987487136513938073819301524442123987<148>

460989874520911044064786431843221905337<39>
16936384759591687512192175264040477850108231701305445403165968977141397799585486877387463283782557291612041451<110>

GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Input number is 7807501885162042185494687231351594438129117045167818043730193057217354132348250484993627123648150247334058297005987487136513938073819301524442123987 (148 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4291616284
Step 1 took 6598ms
Step 2 took 3270ms
********** Factor found in step 2: 460989874520911044064786431843221905337
Found probable prime factor of 39 digits: 460989874520911044064786431843221905337
Probable prime cofactor 16936384759591687512192175264040477850108231701305445403165968977141397799585486877387463283782557291612041451 has 110 digits

Core 2 Quad Q6700

1220020650194773830985505876200508138294365517296240227229511471716416663266926742593703753579571537298748817397397<115>

1942156014418176018702442345855437715753<40>
628178499120351639880606186016433190873849204059410375565924824840997233549<75>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 1220020650194773830985505876200508138294365517296240227229511471716416663266926742593703753579571537298748817397397 (115 digits)
Using B1=3030000, B2=5707048630, polynomial Dickson(6), sigma=310607428
Step 1 took 24088ms
Step 2 took 10644ms
********** Factor found in step 2: 1942156014418176018702442345855437715753
Found probable prime factor of 40 digits: 1942156014418176018702442345855437715753
Probable prime cofactor 628178499120351639880606186016433190873849204059410375565924824840997233549 has 75 digits

4033912051031012261593993832795928814631065204377255803288434374957097404460879570195369709261992725917<103>

1651232239649515659508639079209693572743461625197213<52>
2442970742799471533588610599827101256283903212427009<52>

Number: 21117_163
N=4033912051031012261593993832795928814631065204377255803288434374957097404460879570195369709261992725917
  ( 103 digits)
Divisors found:
 r1=1651232239649515659508639079209693572743461625197213 (pp52)
 r2=2442970742799471533588610599827101256283903212427009 (pp52)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.38 hours.
Scaled time: 12.75 units (timescale=2.370).
Factorization parameters were as follows:
name: 21117_163
n: 4033912051031012261593993832795928814631065204377255803288434374957097404460879570195369709261992725917
skew: 7340.12
# norm 1.81e+14
c5: 146160
c4: -398831628
c3: -29546363044896
c2: 15604863772449401
c1: 569711961235965527372
c0: 29241800285831870731743
# alpha -5.87
Y1: 45608002259
Y0: -30773715148705995392
# Murphy_E 2.35e-09
# M 3172093150204558832540147395143702792889572096330200074127881341980114758822844799745116817020563794105
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1680001)
Primes: RFBsize:135072, AFBsize:135442, largePrimes:4395510 encountered
Relations: rels:4347033, finalFF:334703
Max relations in full relation-set: 28
Initial matrix: 270597 x 334703 with sparse part having weight 27697377.
Pruned matrix : 229725 x 231141 with weight 16357860.
Polynomial selection time: 0.35 hours.
Total sieving time: 4.66 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 5.38 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: 8047200k/8912896k available (2440k kernel code, 339088k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 5347.62 BogoMIPS (lpj=2673811)
Calibrating delay using timer specific routine.. 5214.21 BogoMIPS (lpj=2607107)
Calibrating delay using timer specific routine.. 5344.19 BogoMIPS (lpj=2672095)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672350)

Core 2 Quad Q6700

124304029867693175798359852485326387072676520710786232974556960136034977846839019975442286924835106828269<105>

334551636295269131863698068034581<33>
371554093246116187712128253073382931231925606666989345072655834471049849<72>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 124304029867693175798359852485326387072676520710786232974556960136034977846839019975442286924835106828269 (105 digits)
Using B1=1382000, B2=2139965110, polynomial Dickson(6), sigma=2666805188
Step 1 took 9838ms
Step 2 took 5583ms
********** Factor found in step 2: 334551636295269131863698068034581
Found probable prime factor of 33 digits: 334551636295269131863698068034581
Probable prime cofactor 371554093246116187712128253073382931231925606666989345072655834471049849 has 72 digits

1197938241349061336458522844018218127092204612969583280105998588522712770492267602126630070931892286913675016319536632794797252743959696031541213279<148>

2570425101530933072476288537139463003096717765694241<52>
466046740920626307089573465132231484958654650900514236799839493101275990757147969483111772494719<96>

Number: n
N=1197938241349061336458522844018218127092204612969583280105998588522712770492267602126630070931892286913675016319536632794797252743959696031541213279
  ( 148 digits)
SNFS difficulty: 168 digits.
Divisors found:

Tue Jun 10 16:41:52 2008  prp52 factor: 2570425101530933072476288537139463003096717765694241
Tue Jun 10 16:41:52 2008  prp96 factor: 466046740920626307089573465132231484958654650900514236799839493101275990757147969483111772494719
Tue Jun 10 16:41:52 2008  elapsed time 03:13:45 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 114.73 hours.
Scaled time: 199.06 units (timescale=1.735).
Factorization parameters were as follows:
name: KA_2_1_166_7
n: 1197938241349061336458522844018218127092204612969583280105998588522712770492267602126630070931892286913675016319536632794797252743959696031541213279
type: snfs
skew: 0.49
deg: 5
c5: 1900
c0: 53
m: 1000000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5300001)
Primes: RFBsize:230209, AFBsize:229847, largePrimes:7977913 encountered
Relations: rels:7375544, finalFF:472087
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 114.37 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.6,2.6,100000
total time: 114.73 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

113595498386620872755908814716787455791745380513425714228053550210917871632865906879922244374810697121827475171977159458642518183471570933<138>

134974717201857773930368940820113637270129245125087339<54>
841605752110865393463396741998699499596686714405178738438815370274632079228373494047<84>

SNFS difficulty: 171 digits.
Divisors found:
 r1=134974717201857773930368940820113637270129245125087339
 r2=841605752110865393463396741998699499596686714405178738438815370274632079228373494047
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.728).
Factorization parameters were as follows:
n: 113595498386620872755908814716787455791745380513425714228053550210917871632865906879922244374810697121827475171977159458642518183471570933
m: 10000000000000000000000000000000000
deg: 5
c5: 19
c0: 53
skew: 1.23
type: snfs
lss: 1
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [3000000, 6000001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1001530 x 1001766
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,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,54,54,2.6,2.6,100000
total time: 49.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

997218285834251823859759617907941006665616963207893770009972182858342518238597596179079410066656169632078937700099721828583425182385975961790794100666561696320789377001<168>

168661868577202193078498353096651456486993533110668327480176859986366715725113<78>
5912529573202205892596710183074556787793902601590008372374823072400078491492372186687664177<91>

Number: n
N=997218285834251823859759617907941006665616963207893770009972182858342518238597596179079410066656169632078937700099721828583425182385975961790794100666561696320789377001
  ( 168 digits)
SNFS difficulty: 172 digits.
Divisors found:

Sat Jun 07 11:15:53 2008  prp78 factor: 168661868577202193078498353096651456486993533110668327480176859986366715725113
Sat Jun 07 11:15:53 2008  prp91 factor: 5912529573202205892596710183074556787793902601590008372374823072400078491492372186687664177
Sat Jun 07 11:15:53 2008  elapsed time 01:54:10 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 62.34 hours.
Scaled time: 114.01 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_1_170_7
n: 997218285834251823859759617907941006665616963207893770009972182858342518238597596179079410066656169632078937700099721828583425182385975961790794100666561696320789377001
skew: 0.77
deg: 5
c5: 190
c0: 53
m: 10000000000000000000000000000000000
type: snfs
rlim: 3800000
alim: 3800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 8399990)
Primes: RFBsize:269987, AFBsize:270102, largePrimes:8759196 encountered
Relations: rels:8275802, finalFF:614142
Max relations in full relation-set: 28
Initial matrix: 540156 x 614142 with sparse part having weight 104508632.
Pruned matrix : 
Total sieving time: 62.04 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,3800000,3800000,28,28,48,48,2.5,2.5,100000
total time: 62.34 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

9304686991665947842771050312020379724195831051810531919826944866521374436723810944421710663790387231575398330474459163472240510018717975261028382021<148>

154717976626918594941403092863027976804945329669357764781244767406341<69>
60139663111694757075532344037166653128781065670593743207050038612520593588252481<80>

Number: 21117_174
N = 9304686991665947842771050312020379724195831051810531919826944866521374436723810944421710663790387231575398330474459163472240510018717975261028382021 (148 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=154717976626918594941403092863027976804945329669357764781244767406341 (pp69)
r2=60139663111694757075532344037166653128781065670593743207050038612520593588252481 (pp80)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 80.64 hours.
Factorization parameters were as follows:
n: 9304686991665947842771050312020379724195831051810531919826944866521374436723810944421710663790387231575398330474459163472240510018717975261028382021
m: 100000000000000000000000000000000000
deg: 5
c5: 19
c0: 530
skew: 1.95
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [2900000, 7900000)
Relations: 16038681
Relations in full relation-set: 2102172 relations
Pruned matrix : 1250428 x 1250657
Polynomial selection time: 0.00 hours.
Total sieving time: 79.28 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 1.20 hours.
time per square root: 0.09 hours.

GGNFS, Msieve

21345510177667657540730006301434663701471756955685409885592596413899469145549610473198894598984475625669925326599950178407<122>

664699855687740871426245760733544298057358189<45>
32113005584426118305653746784676287558964283770905370659367037921112708262563<77>

Number: 21117_176
N=21345510177667657540730006301434663701471756955685409885592596413899469145549610473198894598984475625669925326599950178407
  ( 122 digits)
Divisors found:
 r1=664699855687740871426245760733544298057358189
 r2=32113005584426118305653746784676287558964283770905370659367037921112708262563
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.719).
Factorization parameters were as follows:
name: 21117_176
n: 21345510177667657540730006301434663701471756955685409885592596413899469145549610473198894598984475625669925326599950178407
skew: 170756.40
# norm 7.43e+16
c5: 3960
c4: -2169820698
c3: 1300114549842949
c2: 51004422752112391841
c1: -13720078057851879793267805
c0: -306179776140910730398882578519
# alpha -6.28
Y1: 9129774563993
Y0: -351822415252155645580046
# Murphy_E 2.29e-10
# M 19568358484057287237196273449831904887169580518105982422756745467726799115462603151064661311112921045638463225213236455353
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 9100001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 815845 x 816093
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 3.00 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.5,2.5,100000

total time: 51 hours.

Msieve 1.36

Opteron-2.6GHz; Linux x86_64

1156839507550085105783898381888923753791523608993504794447987967314039703519295707912839862609356182617126058028008219722060052284683699750157067109604751<154>

34696836474803684531094725876141<32>
33341353998949281134084684490034526580396360733890803452497947844769267578107604119537306016289266699197332365783050679211<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1881158939
Step 1 took 14161ms
Step 2 took 5968ms
********** Factor found in step 2: 34696836474803684531094725876141
Found probable prime factor of 32 digits: 34696836474803684531094725876141
Probable prime cofactor 33341353998949281134084684490034526580396360733890803452497947844769267578107604119537306016289266699197332365783050679211 has 122 digits

GMP-ECM 6.2.1

18350036212347777998944003705548365238734454018334390391998302525071219870809950316794059378592442122295651340813001251762207095997634970069642250591378206511887008589651951<173>

730783028829272890571582357107873<33>
15813081752003936184143208732888457782336476081569<50>
1587932203573024046038962979456799562125934051816159402995982719650736127433087927236287023<91>

Number: 21117_178
N=18350036212347777998944003705548365238734454018334390391998302525071219870809950316794059378592442122295651340813001251762207095997634970069642250591378206511887008589651951
  ( 173 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=730783028829272890571582357107873
 r2=15813081752003936184143208732888457782336476081569
 r3=1587932203573024046038962979456799562125934051816159402995982719650736127433087927236287023
Version: 
Total time: 199.73 hours.
Scaled time: 402.06 units (timescale=2.013).
Factorization parameters were as follows:
n: 18350036212347777998944003705548365238734454018334390391998302525071219870809950316794059378592442122295651340813001251762207095997634970069642250591378206511887008589651951
m: 100000000000000000000000000000000000
deg: 5
c5: 19000
c0: 53
skew: 0.31
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 9900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1341541 x 1341789
Total sieving time: 199.73 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,179,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 199.73 hours.
 --------- CPU info (if available) ----------

28963059435495173792132360331637531975306639077693676266409572082854964525175437218418838190528271431344482137268352371904367211308847197256813<143>

3349325991626660836142985601586316287<37>
8647429216476100420542242882379273175458608953675889185107701051848164079093356947137003878034159245201299<106>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=100216048
Step 1 took 66191ms
Step 2 took 30841ms
********** Factor found in step 2: 3349325991626660836142985601586316287
Found probable prime factor of 37 digits: 3349325991626660836142985601586316287
Probable prime cofactor 8647429216476100420542242882379273175458608953675889185107701051848164079093356947137003878034159245201299 has 106 digits

GMP-ECM 6.3

108707332125491887490136827738965617472377019064851456420794331050241098652645697107870551992749042034420840021430409664656965061313495587825989323123<150>

2929763797894104092313341773557199410043380078897960797407<58>
37104469719924192670483781253970219783793765439692784667972440841415010363065773292787767789<92>

Number: 21117_185
N=108707332125491887490136827738965617472377019064851456420794331050241098652645697107870551992749042034420840021430409664656965061313495587825989323123
  ( 150 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=2929763797894104092313341773557199410043380078897960797407
 r2=37104469719924192670483781253970219783793765439692784667972440841415010363065773292787767789
Version: 
Total time: 84.99 hours.
Scaled time: 446.70 units (timescale=5.256).
Factorization parameters were as follows:
n: 108707332125491887490136827738965617472377019064851456420794331050241098652645697107870551992749042034420840021430409664656965061313495587825989323123
m: 10000000000000000000000000000000000000
deg: 5
c5: 19
c0: 53
skew: 1.23
# Murphy_E = 5.461e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20712569
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1730656 x 1730904
Total sieving time: 78.86 hours.
Total relation processing time: 2.06 hours.
Matrix solve time: 3.95 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 84.99 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

300661834496417603262996947223539282410240479681658887348641187641861162643462508731237749181079475084530856252295584183256168391599249085372415885896956445663<159>

1070062049574605474467360230965860523166287731607245836959819<61>
280976074813552435855781990240483992823296105800985094130575802651452842506481683989112681178748477<99>

Mon Feb 20 13:58:55 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Feb 20 13:58:55 2017  random seeds: 3542dc37 3d4eab99
Mon Feb 20 13:58:55 2017  factoring 300661834496417603262996947223539282410240479681658887348641187641861162643462508731237749181079475084530856252295584183256168391599249085372415885896956445663 (159 digits)
Mon Feb 20 13:58:56 2017  no P-1/P+1/ECM available, skipping
Mon Feb 20 13:58:56 2017  commencing number field sieve (159-digit input)
Mon Feb 20 13:58:56 2017  R0: -10000000000000000000000000000000000000
Mon Feb 20 13:58:56 2017  R1: 1
Mon Feb 20 13:58:56 2017  A0: 53
Mon Feb 20 13:58:56 2017  A1: 0
Mon Feb 20 13:58:56 2017  A2: 0
Mon Feb 20 13:58:56 2017  A3: 0
Mon Feb 20 13:58:56 2017  A4: 0
Mon Feb 20 13:58:56 2017  A5: 190
Mon Feb 20 13:58:56 2017  skew 0.77, size 2.989e-13, alpha 0.951, combined = 4.036e-11 rroots = 1
Mon Feb 20 13:58:56 2017  
Mon Feb 20 13:58:56 2017  commencing relation filtering
Mon Feb 20 13:58:56 2017  estimated available RAM is 15929.4 MB
Mon Feb 20 13:58:56 2017  commencing duplicate removal, pass 1
Mon Feb 20 14:01:33 2017  found 3303172 hash collisions in 22117456 relations
Mon Feb 20 14:01:51 2017  added 369 free relations
Mon Feb 20 14:01:51 2017  commencing duplicate removal, pass 2
Mon Feb 20 14:01:57 2017  found 2998510 duplicates and 19119315 unique relations
Mon Feb 20 14:01:57 2017  memory use: 98.6 MB
Mon Feb 20 14:01:57 2017  reading ideals above 720000
Mon Feb 20 14:01:57 2017  commencing singleton removal, initial pass
Mon Feb 20 14:03:53 2017  memory use: 689.0 MB
Mon Feb 20 14:03:53 2017  reading all ideals from disk
Mon Feb 20 14:03:53 2017  memory use: 609.3 MB
Mon Feb 20 14:03:54 2017  keeping 21342136 ideals with weight <= 200, target excess is 115849
Mon Feb 20 14:03:55 2017  commencing in-memory singleton removal
Mon Feb 20 14:03:56 2017  begin with 19119315 relations and 21342136 unique ideals
Mon Feb 20 14:04:05 2017  reduce to 7618770 relations and 7467978 ideals in 22 passes
Mon Feb 20 14:04:05 2017  max relations containing the same ideal: 105
Mon Feb 20 14:04:07 2017  removing 166156 relations and 157952 ideals in 8204 cliques
Mon Feb 20 14:04:07 2017  commencing in-memory singleton removal
Mon Feb 20 14:04:07 2017  begin with 7452614 relations and 7467978 unique ideals
Mon Feb 20 14:04:10 2017  reduce to 7449200 relations and 7306606 ideals in 9 passes
Mon Feb 20 14:04:10 2017  max relations containing the same ideal: 103
Mon Feb 20 14:04:12 2017  removing 119832 relations and 111628 ideals in 8204 cliques
Mon Feb 20 14:04:12 2017  commencing in-memory singleton removal
Mon Feb 20 14:04:12 2017  begin with 7329368 relations and 7306606 unique ideals
Mon Feb 20 14:04:15 2017  reduce to 7327720 relations and 7193325 ideals in 8 passes
Mon Feb 20 14:04:15 2017  max relations containing the same ideal: 103
Mon Feb 20 14:04:16 2017  relations with 0 large ideals: 2840
Mon Feb 20 14:04:16 2017  relations with 1 large ideals: 889
Mon Feb 20 14:04:16 2017  relations with 2 large ideals: 16034
Mon Feb 20 14:04:16 2017  relations with 3 large ideals: 128377
Mon Feb 20 14:04:16 2017  relations with 4 large ideals: 556688
Mon Feb 20 14:04:16 2017  relations with 5 large ideals: 1395724
Mon Feb 20 14:04:16 2017  relations with 6 large ideals: 2161818
Mon Feb 20 14:04:16 2017  relations with 7+ large ideals: 3065350
Mon Feb 20 14:04:16 2017  commencing 2-way merge
Mon Feb 20 14:04:19 2017  reduce to 4228102 relation sets and 4093710 unique ideals
Mon Feb 20 14:04:19 2017  ignored 3 oversize relation sets
Mon Feb 20 14:04:19 2017  commencing full merge
Mon Feb 20 14:05:03 2017  memory use: 486.9 MB
Mon Feb 20 14:05:03 2017  found 2141709 cycles, need 2137910
Mon Feb 20 14:05:04 2017  weight of 2137910 cycles is about 149857410 (70.10/cycle)
Mon Feb 20 14:05:04 2017  distribution of cycle lengths:
Mon Feb 20 14:05:04 2017  1 relations: 323099
Mon Feb 20 14:05:04 2017  2 relations: 284783
Mon Feb 20 14:05:04 2017  3 relations: 263767
Mon Feb 20 14:05:04 2017  4 relations: 225081
Mon Feb 20 14:05:04 2017  5 relations: 189195
Mon Feb 20 14:05:04 2017  6 relations: 155675
Mon Feb 20 14:05:04 2017  7 relations: 129536
Mon Feb 20 14:05:04 2017  8 relations: 104789
Mon Feb 20 14:05:04 2017  9 relations: 84756
Mon Feb 20 14:05:04 2017  10+ relations: 377229
Mon Feb 20 14:05:04 2017  heaviest cycle: 28 relations
Mon Feb 20 14:05:04 2017  commencing cycle optimization
Mon Feb 20 14:05:06 2017  start with 12352758 relations
Mon Feb 20 14:05:17 2017  pruned 259455 relations
Mon Feb 20 14:05:17 2017  memory use: 418.1 MB
Mon Feb 20 14:05:17 2017  distribution of cycle lengths:
Mon Feb 20 14:05:17 2017  1 relations: 323099
Mon Feb 20 14:05:17 2017  2 relations: 290711
Mon Feb 20 14:05:17 2017  3 relations: 272257
Mon Feb 20 14:05:17 2017  4 relations: 229031
Mon Feb 20 14:05:17 2017  5 relations: 191938
Mon Feb 20 14:05:17 2017  6 relations: 156204
Mon Feb 20 14:05:17 2017  7 relations: 128898
Mon Feb 20 14:05:17 2017  8 relations: 103485
Mon Feb 20 14:05:17 2017  9 relations: 83106
Mon Feb 20 14:05:17 2017  10+ relations: 359181
Mon Feb 20 14:05:17 2017  heaviest cycle: 28 relations
Mon Feb 20 14:05:19 2017  RelProcTime: 383
Mon Feb 20 14:05:20 2017  elapsed time 00:06:25
Mon Feb 20 14:05:20 2017 LatSieveTime: 1113.81
Mon Feb 20 14:05:20 2017 -> Running matrix solving step ...
Mon Feb 20 14:05:20 2017 -> ./msieve -s 21117_186/21117_186.dat -l 21117_186/21117_186.log -i 21117_186/21117_186.ini -nf 21117_186/21117_186.fb -t 6 -nc2
Mon Feb 20 14:05:20 2017  
Mon Feb 20 14:05:20 2017  
Mon Feb 20 14:05:20 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Feb 20 14:05:20 2017  random seeds: c184dbda 1c46ef24
Mon Feb 20 14:05:20 2017  factoring 300661834496417603262996947223539282410240479681658887348641187641861162643462508731237749181079475084530856252295584183256168391599249085372415885896956445663 (159 digits)
Mon Feb 20 14:05:20 2017  no P-1/P+1/ECM available, skipping
Mon Feb 20 14:05:20 2017  commencing number field sieve (159-digit input)
Mon Feb 20 14:05:20 2017  R0: -10000000000000000000000000000000000000
Mon Feb 20 14:05:20 2017  R1: 1
Mon Feb 20 14:05:20 2017  A0: 53
Mon Feb 20 14:05:20 2017  A1: 0
Mon Feb 20 14:05:20 2017  A2: 0
Mon Feb 20 14:05:20 2017  A3: 0
Mon Feb 20 14:05:20 2017  A4: 0
Mon Feb 20 14:05:20 2017  A5: 190
Mon Feb 20 14:05:20 2017  skew 0.77, size 2.989e-13, alpha 0.951, combined = 4.036e-11 rroots = 1
Mon Feb 20 14:05:20 2017  
Mon Feb 20 14:05:20 2017  commencing linear algebra
Mon Feb 20 14:05:21 2017  read 2137910 cycles
Mon Feb 20 14:05:23 2017  cycles contain 7120106 unique relations
Mon Feb 20 14:05:56 2017  read 7120106 relations
Mon Feb 20 14:06:01 2017  using 20 quadratic characters above 4294917295
Mon Feb 20 14:06:28 2017  building initial matrix
Mon Feb 20 14:07:08 2017  memory use: 873.2 MB
Mon Feb 20 14:07:08 2017  read 2137910 cycles
Mon Feb 20 14:07:08 2017  matrix is 2137732 x 2137910 (642.3 MB) with weight 190506375 (89.11/col)
Mon Feb 20 14:07:08 2017  sparse part has weight 144870201 (67.76/col)
Mon Feb 20 14:07:20 2017  filtering completed in 2 passes
Mon Feb 20 14:07:21 2017  matrix is 2135763 x 2135941 (642.2 MB) with weight 190430545 (89.16/col)
Mon Feb 20 14:07:21 2017  sparse part has weight 144842297 (67.81/col)
Mon Feb 20 14:07:25 2017  matrix starts at (0, 0)
Mon Feb 20 14:07:25 2017  matrix is 2135763 x 2135941 (642.2 MB) with weight 190430545 (89.16/col)
Mon Feb 20 14:07:25 2017  sparse part has weight 144842297 (67.81/col)
Mon Feb 20 14:07:25 2017  saving the first 48 matrix rows for later
Mon Feb 20 14:07:25 2017  matrix includes 64 packed rows
Mon Feb 20 14:07:25 2017  matrix is 2135715 x 2135941 (610.9 MB) with weight 151601183 (70.98/col)
Mon Feb 20 14:07:25 2017  sparse part has weight 138781904 (64.97/col)
Mon Feb 20 14:07:25 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Mon Feb 20 14:07:30 2017  commencing Lanczos iteration (6 threads)
Mon Feb 20 14:07:30 2017  memory use: 491.3 MB
Mon Feb 20 14:07:35 2017  linear algebra at 0.1%, ETA 1h57m
Mon Feb 20 14:07:37 2017  checkpointing every 1040000 dimensions
Mon Feb 20 16:00:15 2017  lanczos halted after 33777 iterations (dim = 2135714)
Mon Feb 20 16:00:16 2017  recovered 37 nontrivial dependencies
Mon Feb 20 16:00:16 2017  BLanczosTime: 6896
Mon Feb 20 16:00:16 2017  elapsed time 01:54:56
Mon Feb 20 16:00:16 2017 -> Running square root step ...
Mon Feb 20 16:00:16 2017 -> ./msieve -s 21117_186/21117_186.dat -l 21117_186/21117_186.log -i 21117_186/21117_186.ini -nf 21117_186/21117_186.fb -t 6 -nc3
Mon Feb 20 16:00:16 2017  
Mon Feb 20 16:00:16 2017  
Mon Feb 20 16:00:16 2017  Msieve v. 1.53 (SVN Unversioned directory)
Mon Feb 20 16:00:16 2017  random seeds: fab3bedd 08a61c0d
Mon Feb 20 16:00:16 2017  factoring 300661834496417603262996947223539282410240479681658887348641187641861162643462508731237749181079475084530856252295584183256168391599249085372415885896956445663 (159 digits)
Mon Feb 20 16:00:17 2017  no P-1/P+1/ECM available, skipping
Mon Feb 20 16:00:17 2017  commencing number field sieve (159-digit input)
Mon Feb 20 16:00:17 2017  R0: -10000000000000000000000000000000000000
Mon Feb 20 16:00:17 2017  R1: 1
Mon Feb 20 16:00:17 2017  A0: 53
Mon Feb 20 16:00:17 2017  A1: 0
Mon Feb 20 16:00:17 2017  A2: 0
Mon Feb 20 16:00:17 2017  A3: 0
Mon Feb 20 16:00:17 2017  A4: 0
Mon Feb 20 16:00:17 2017  A5: 190
Mon Feb 20 16:00:17 2017  skew 0.77, size 2.989e-13, alpha 0.951, combined = 4.036e-11 rroots = 1
Mon Feb 20 16:00:17 2017  
Mon Feb 20 16:00:17 2017  commencing square root phase
Mon Feb 20 16:00:17 2017  reading relations for dependency 1
Mon Feb 20 16:00:17 2017  read 1066456 cycles
Mon Feb 20 16:00:18 2017  cycles contain 3556824 unique relations
Mon Feb 20 16:00:36 2017  read 3556824 relations
Mon Feb 20 16:00:45 2017  multiplying 3556824 relations
Mon Feb 20 16:02:31 2017  multiply complete, coefficients have about 106.48 million bits
Mon Feb 20 16:02:31 2017  initial square root is modulo 43964311
Mon Feb 20 16:04:44 2017  GCD is N, no factor found
Mon Feb 20 16:04:44 2017  reading relations for dependency 2
Mon Feb 20 16:04:44 2017  read 1066563 cycles
Mon Feb 20 16:04:45 2017  cycles contain 3553358 unique relations
Mon Feb 20 16:05:05 2017  read 3553358 relations
Mon Feb 20 16:05:16 2017  multiplying 3553358 relations
Mon Feb 20 16:07:05 2017  multiply complete, coefficients have about 106.38 million bits
Mon Feb 20 16:07:05 2017  initial square root is modulo 43220251
Mon Feb 20 16:09:15 2017  sqrtTime: 538
Mon Feb 20 16:09:15 2017  p61 factor: 1070062049574605474467360230965860523166287731607245836959819
Mon Feb 20 16:09:15 2017  p99 factor: 280976074813552435855781990240483992823296105800985094130575802651452842506481683989112681178748477
Mon Feb 20 16:09:15 2017  elapsed time 00:08:59

Msieve 1.53 snfs

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

58006295619087527529641229665482905651184071503583783150404513126849459673480033594180063152042328876621475633859716796307023902162896554726602583<146>

4635701032023673696579635584307228968222301141101219<52>
12512950084221759999390581534205656050196480043208795715040702584899833120386560494714818944957<95>

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1:832050329
Step 1 took 143828ms
Step 2 took 61281ms
********** Factor found in step 2: 4635701032023673696579635584307228968222301141101219
Found prime factor of 52 digits: 4635701032023673696579635584307228968222301141101219
Prime cofactor 12512950084221759999390581534205656050196480043208795715040702584899833120386560494714818944957 has 95 digits

GMP-ECM 7.0.4

15409570154095701540957015409570154095701540957015409570154095701540957015409570154095701540957015409570154095701540957015409570154095701540957015409570154095701540957015409570154095701541<188>

50276311039073491284553796865897030204461721150551647<53>
306497629512232293365247269171182637897810549798966215737832495828240735616622890851416942888914546319515586789212490295293970999607803<135>

Number: 21117_189
N=15409570154095701540957015409570154095701540957015409570154095701540957015409570154095701540957015409570154095701540957015409570154095701540957015409570154095701540957015409570154095701541
  ( 188 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=50276311039073491284553796865897030204461721150551647
 r2=306497629512232293365247269171182637897810549798966215737832495828240735616622890851416942888914546319515586789212490295293970999607803
Version: 
Total time: 526.99 hours.
Scaled time: 1061.88 units (timescale=2.015).
Factorization parameters were as follows:
n: 15409570154095701540957015409570154095701540957015409570154095701540957015409570154095701540957015409570154095701540957015409570154095701540957015409570154095701540957015409570154095701541
m: 50000000000000000000000000000000000000
deg: 5
c5: 304
c0: 265
skew: 0.97
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5350000, 11050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1964631 x 1964879
Total sieving time: 526.99 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,190,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 526.99 hours.
 --------- CPU info (if available) ----------

371846244269050479575968808607959234294557135356033365771820693313435256303067267720036981495638700688601320207082024698441126032939080779872257127632093459162826643<165>

53407468114038871400027190392213<32>
6962439100746393413285009030696505148627665948925854287054886557082060596362222044870821276566205348275783498922631532752692812607111<133>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2356664343
Step 1 took 73039ms
Step 2 took 36005ms
********** Factor found in step 2: 53407468114038871400027190392213
Found probable prime factor of 32 digits: 53407468114038871400027190392213
Probable prime cofactor 6962439100746393413285009030696505148627665948925854287054886557082060596362222044870821276566205348275783498922631532752692812607111 has 133 digits

GMP-ECM 6.3

4284365909004894438137759154511010355908542706337260885263846405581929695068404866140315437021892564348302794877829685782526441163539937603<139>

75503502230330690746504234306640955574855735611373649443294253<62>
56743936141333211683730304148679989694428597150396045185514519085536503451951<77>

733919*31901482709*55817639849*377045765594946519184376741*75503502230330690746504234306640955574855735611373649443294253*56743936141333211683730304148679989694428597150396045185514519085536503451951

Log extracts
Info:root: Command line parameters: ./cado-nfs.py 4284365909004894438137759154511010355908542706337260885263846405581929695068404866140315437021892564348302794877829685782526441163539937603
...
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66543/41.280/49.907/55.340/0.966
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66543/40.390/44.629/50.550/1.216
Info:Polynomial Selection (size optimized): Total time: 47335.2
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5520.91
Info:Polynomial Selection (root optimized): Rootsieve time: 5518.96
Info:Generate Factor Base: Total cpu/real time for makefb: 22.96/2.43982
Info:Generate Free Relations: Total cpu/real time for freerel: 289.82/25.7059
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25188333
Info:Lattice Sieving: Average J: 3794.37 for 815170 special-q, max bucket fill: 0.632799
Info:Lattice Sieving: Total CPU time: 1.49736e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 118.32/216.508
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 216.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 498.63/335.027
Info:Filtering - Singleton removal: Total cpu/real time for purge: 259.82/222.753
Info:Filtering - Merging: Total cpu/real time for merge: 1035.82/938.668
Info:Filtering - Merging: Total cpu/real time for replay: 79.02/62.1622
Info:Linear Algebra: Total cpu/real time for bwc: 232832/0.000245094
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 14014.16
Info:Linear Algebra: Lingen CPU time 756.35, WCT time 86.42
Info:Linear Algebra: Mksol: WCT time 7572.74
Info:Quadratic Characters: Total cpu/real time for characters: 79.16/18.8412
Info:Square Root: Total cpu/real time for sqrt: 4558.41/683.901
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.78999e+06/158571
Info:root: Cleaning up computation data in /tmp/cado.vijp4q8h
75503502230330690746504234306640955574855735611373649443294253 56743936141333211683730304148679989694428597150396045185514519085536503451951

cado-nfs-2.3.0

Linux Ubuntu 18.04 LTS 
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors) 

16803814947194329216640033624657196253993574871104268234418420818737862296360979461386308939373882431726496930344242796619017568684840814399901880316088851284930801324006564997988931<182>

120190540537122712685948709831747689804928121465528477821771214934929541773822322766885749<90>
139809795946497223140760404932727082665757489948588176270379814377096758110999169042524815319<93>

N=16803814947194329216640033624657196253993574871104268234418420818737862296360979461386308939373882431726496930344242796619017568684840814399901880316088851284930801324006564997988931
  ( 182 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=120190540537122712685948709831747689804928121465528477821771214934929541773822322766885749 (pp90)
 r2=139809795946497223140760404932727082665757489948588176270379814377096758110999169042524815319 (pp93)
Version: Msieve v. 1.49
Total time:
Scaled time: 51.74 units (timescale=0.442).
Factorization parameters were as follows:
n: 16803814947194329216640033624657196253993574871104268234418420818737862296360979461386308939373882431726496930344242796619017568684840814399901880316088851284930801324006564997988931
m: 1000000000000000000000000000000000000000
deg: 5
c5: 19
c0: 53
skew: 1.23
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6550000, 14550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2558438 x 2558634
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000
total time:

15040612041106138432607572208023081071769332813241950057011266126881502717006550814564935679997354772744675989993978722546740480991244848937630233454984387<155>

39770029891845848101323286065812296070949437444278249<53>
378189608657798719635973043313916332730756275417800159204829330708834235072945578647570264576633020363<102>

15040612041106138432607572208023081071769332813241950057011266126881502717006550814564935679997354772744675989993978722546740480991244848937630233454984387=39770029891845848101323286065812296070949437444278249*378189608657798719635973043313916332730756275417800159204829330708834235072945578647570264576633020363

cado polynomial
n: 15040612041106138432607572208023081071769332813241950057011266126881502717006550814564935679997354772744675989993978722546740480991244848937630233454984387
skew: 0.97
type: snfs
c0: 265
c5: 304
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 304*x^5+265
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15700000
tasks.lim1 = 15700000
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: 39770029891845848101323286065812296070949437444278249 378189608657798719635973043313916332730756275417800159204829330708834235072945578647570264576633020363
Info:Square Root: Total cpu/real time for sqrt: 1254.47/396.869
Info:Generate Free Relations: Total cpu/real time for freerel: 235.38/61.3137
Info:Generate Factor Base: Total cpu/real time for makefb: 6.61/3.03888
Info:Filtering - Merging: Merged matrix has 3951245 rows and total weight 676078121 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1159.21/319.432
Info:Filtering - Merging: Total cpu/real time for replay: 160.55/145.549
Info:Filtering - Singleton removal: Total cpu/real time for purge: 648.09/765.253
Info:Quadratic Characters: Total cpu/real time for characters: 144.64/61.3193
Info:Square Root: Total cpu/real time for sqrt: 1254.47/396.869
Info:Linear Algebra: Total cpu/real time for bwc: 191298/48930.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 86066.92, WCT time 21972.36, iteration CPU time 0.38, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (123904 iterations)
Info:Linear Algebra: Lingen CPU time 883.91, WCT time 224.36
Info:Linear Algebra: Mksol: CPU time 104338.88,  WCT time 26654.52, iteration CPU time 0.41, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (61952 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50619700
Info:Lattice Sieving: Average J: 1894.39 for 5903025 special-q, max bucket fill -bkmult 1.0,1s:1.134860
Info:Lattice Sieving: Total time: 1.82185e+06s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 916.65/919.369
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 747.9000000000001s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 219.03/259.027
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 258.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.68233e+06/49393.1
39770029891845848101323286065812296070949437444278249 378189608657798719635973043313916332730756275417800159204829330708834235072945578647570264576633020363

cado-nfs-3.0.0

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

66571759707216792320825555407974421045698162568976721263015455772059636400287671344060947470533670072108875242092158853776658901357273617702278528792429763177805499501665229617183399547<185>

3964377299148887894772607924484413995617848007<46>
16792488374279885633757769603155609634405010571535028975207657556537421510884537498381486622679967537169715289799622555803430084830325570221<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3202242061
Step 1 took 117650ms
Step 2 took 38718ms
********** Factor found in step 2: 3964377299148887894772607924484413995617848007
Found probable prime factor of 46 digits: 3964377299148887894772607924484413995617848007

7954502469122460501575388338077891725070836688235101918736793638840249446211985077293496044208446883636315273395031792261213027220564085973675017392678179878540382501339<169>

37375999504986518022641554156861521637771471<44>
212823806037915073204133428265839860079377502915986874655074039213198893014383991346811558563540746268757580470453161928141109<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1472198244
Step 1 took 27068ms
Step 2 took 10248ms
********** Factor found in step 2: 37375999504986518022641554156861521637771471
Found probable prime factor of 44 digits: 37375999504986518022641554156861521637771471

1685356594723587726246642946433391197348463601519534153706213956844171366129990665474563832118894611870696237708510391485291647186285899486502508033629932948015788127851<169>

3549676824528438171413941288022757950958562804532620119127776802488852832169141<79>
474791559354838254091831783562557599370126972131002158918280651605331512129684558055025311<90>

Number: n
N=1685356594723587726246642946433391197348463601519534153706213956844171366129990665474563832118894611870696237708510391485291647186285899486502508033629932948015788127851  ( 169 digits)
SNFS difficulty: 207 digits.
Divisors found:

Wed Jun 19 02:55:14 2024  prp79 factor: 3549676824528438171413941288022757950958562804532620119127776802488852832169141
Wed Jun 19 02:55:14 2024  prp90 factor: 474791559354838254091831783562557599370126972131002158918280651605331512129684558055025311
Wed Jun 19 02:55:14 2024  elapsed time 03:44:08 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.948).
Factorization parameters were as follows:
#
# N = 19x10^206+53 = 21(205)7
#
n: 1685356594723587726246642946433391197348463601519534153706213956844171366129990665474563832118894611870696237708510391485291647186285899486502508033629932948015788127851
m: 100000000000000000000000000000000000000000
deg: 5
c5: 190
c0: 53
skew: 0.77
# Murphy_E = 6.696e-12
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 57150000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4916544 hash collisions in 21646686 relations (16687597 unique)
Msieve: matrix is 2612720 x 2612945 (736.8 MB)

Sieving start time: 2024/06/17 23:30:26
Sieving end time  : 2024/06/18 23:10:38

Total sieving time: 23hrs 40min 12secs.

Total relation processing time: 3hrs 31min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 38sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

29649410731581390472450105485293127232841064460012101023677827628716612139489266533707443030581<95>

84082223760558556726860153886327<32>
352624007852292202039778924497846869182876061937270915297530803<63>

***factors found***

PRP32 = 84082223760558556726860153886327
PRP63 = 352624007852292202039778924497846869182876061937270915297530803
Lanczos elapsed time = 33.3900 seconds.
Sqrt elapsed time = 0.5600 seconds.
SIQS elapsed time = 516.6698 seconds.

yafu v1.31 (12 threads)

18603051206998910807812980851189673505415099563560417449770566865477468688666710767820233453564703085244928508182148324851868760820367569784502021193399637806417652367901304161063109714273<188>

2177836549442913454433538544789076069<37>
8541986868462436616117401207104290156906988551208818837781162395586303420236790902810583963807628851470447302059524200434865396740236856461684215811917<151>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2520189869
Step 1 took 9613ms
Step 2 took 6228ms
********** Factor found in step 2: 2177836549442913454433538544789076069
Found probable prime factor of 37 digits: 2177836549442913454433538544789076069
Probable prime cofactor 8541986868462436616117401207104290156906988551208818837781162395586303420236790902810583963807628851470447302059524200434865396740236856461684215811917 has 151 digits

18318189886485042968825507560819802409519599206590683880867931976247726941448263463029357512458981255766440619609457683272090221420434765792806223954517503525379513156679998628625530259<185>

1428227799168835347598748900402981<34>

12825818050275599992063254004871378713342077067998720532646324976133304597972915310483474067152988304026354122653446508097964516503376243289160061694039<152>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3304439922
Step 1 took 9721ms
Step 2 took 6340ms
********** Factor found in step 2: 1428227799168835347598748900402981
Found probable prime factor of 34 digits: 1428227799168835347598748900402981
Composite cofactor 12825818050275599992063254004871378713342077067998720532646324976133304597972915310483474067152988304026354122653446508097964516503376243289160061694039 has 152 digits

12825818050275599992063254004871378713342077067998720532646324976133304597972915310483474067152988304026354122653446508097964516503376243289160061694039<152>

252275413687756268632222736337707160341<39>
50840539166255177153665851064975045267507975753724930045983048038800548577848119921509041199842599734575401173179<113>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4006357663
Step 1 took 79994ms
Step 2 took 30075ms
********** Factor found in step 2: 252275413687756268632222736337707160341
Found probable prime factor of 39 digits: 252275413687756268632222736337707160341

83637102720173289703333544846118031217853169673205399837216959514501451595465621104615812234004661048492400335470097342106046010162601805699<140>

1616382885800450928671992022495569018117157290846363<52>
51743373092418792010956957813365636234367617482999132281593583887980468856637797396252473<89>

Number: 21117_212
N = 83637102720173289703333544846118031217853169673205399837216959514501451595465621104615812234004661048492400335470097342106046010162601805699 (140 digits)
Divisors found:
r1=1616382885800450928671992022495569018117157290846363 (pp52)
r2=51743373092418792010956957813365636234367617482999132281593583887980468856637797396252473 (pp89)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 189.95 hours.
Factorization parameters were as follows:
# Murphy_E = 2.097e-11, selected by Erik Branger
# expecting poly E from 2.08e-011 to > 2.39e-011
n: 83637102720173289703333544846118031217853169673205399837216959514501451595465621104615812234004661048492400335470097342106046010162601805699
Y0: -1813835404581399972326632583
Y1: 180797416950179
c0: -22429501865667264970908992314253700
c1: -33750449370535052276334854160
c2: 21024759285063842467373
c3: -44251603458671579
c4: 717249251
c5: 4260
skew: 2146492.11
type: gnfs
# selected mechanically
rlim: 18100000
alim: 18100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 18100000/18100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23212407
Relations: 3257230 relations
Pruned matrix : 2060063 x 2060290
Polynomial selection time: 0.00 hours.
Total sieving time: 187.73 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.96 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,18100000,18100000,28,28,55,55,2.6,2.6,100000
total time: 189.95 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, Msieve

12351188233521886216918361492261027058209108787966023773651364239208971694996100359398435124861471696731509430528387194196788755362634167059252943153778516227720612982926797869231923622144740313528399<200>

576847639790834362423939920571392967922554473934978712182421866060083383622703995239<84>
21411525993242239324704973292903133128578404036290419963566311565331621271113824986317926096023724078883105372852441<116>

Number: n
N=12351188233521886216918361492261027058209108787966023773651364239208971694996100359398435124861471696731509430528387194196788755362634167059252943153778516227720612982926797869231923622144740313528399
  ( 200 digits)
SNFS difficulty: 215 digits.
Divisors found:

Thu Oct 22 06:24:37 2020  prp84 factor: 576847639790834362423939920571392967922554473934978712182421866060083383622703995239
Thu Oct 22 06:24:37 2020  prp116 factor: 21411525993242239324704973292903133128578404036290419963566311565331621271113824986317926096023724078883105372852441
Thu Oct 22 06:24:37 2020  elapsed time 12:40:45 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.114).
Factorization parameters were as follows:
#
# N = 19x10^214+53 = 21(213)7
#
n: 12351188233521886216918361492261027058209108787966023773651364239208971694996100359398435124861471696731509430528387194196788755362634167059252943153778516227720612982926797869231923622144740313528399
m: 5000000000000000000000000000000000000000000
deg: 5
c5: 304
c0: 265
skew: 0.97
# Murphy_E = 2.317e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 61200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10830338 hash collisions in 59241172 relations (49775160 unique)
Msieve: matrix is 4509158 x 4509383 (1285.1 MB)

Sieving start time: 2020/10/20 14:06:12
Sieving end time  : 2020/10/21 17:04:41

Total sieving time: 26hrs 58min 29secs.

Total relation processing time: 12hrs 12min 2sec.
Matrix solve time: 0.00 hours.
otal square root time: 0hrs 12min 54sec.

Prototype def-par.txt line would be:
snfs,215,5,0,0,0,0,0,0,0,0,28000000,28000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.113442] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16228476K/16703460K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 474984K reserved, 0K cma-reserved)
[    0.148673] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.31 BogoMIPS (lpj=11976628)
[    0.146243] smpboot: Total of 16 processors activated (95813.02 BogoMIPS)

404523297123213935084790516840218423309696921176209522068712974545745808937354855370019677027227095122473515171583168084032620009767064290698197723053976906635854158447907534315475083147197651948322569<201>

64939995087650938948397049733203094621974137784205488797121938835461174002996985411861489160689912639945389489229817247579678508021356921629790183813305034533078379707558367<173>

18160634085490860497506032961546398556322009933382675229624800604383675314796205657494490407131353390598516729069681236976534919988159633938042917972666326150688536626521722059968135644815391<191>

35324406134668589770059155405059<32>

514110103259949449820873093839957939354506972361740490085376203776224760177726044338208748637476020594114209064200420854523883543871331539717133302771171482549<159>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1807658942
Step 1 took 9673ms
Step 2 took 6256ms
********** Factor found in step 2: 35324406134668589770059155405059
Found probable prime factor of 32 digits: 35324406134668589770059155405059
Composite cofactor 514110103259949449820873093839957939354506972361740490085376203776224760177726044338208748637476020594114209064200420854523883543871331539717133302771171482549 has 159 digits

514110103259949449820873093839957939354506972361740490085376203776224760177726044338208748637476020594114209064200420854523883543871331539717133302771171482549<159>

177385825516964936204260364823618080813<39>
2898259214126332022790682848149590457789690069173251046669708661159874248214997158229960650756516349685657656530271266473<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4081025877
Step 1 took 27637ms
Step 2 took 9973ms
********** Factor found in step 2: 177385825516964936204260364823618080813
Found probable prime factor of 39 digits: 177385825516964936204260364823618080813

15068601792370528987231342691728130700293441192798794511856610357681021492584661749543976524704576096439051471171385518280593227060036481878023633912284875882306289158537552541835197081449758109287017209929415496867317<218>

99591498556396002509197776472788369788070541<44>
151304097345594039170696047191926451539547967334853334144692318239180708990221340406738597356951168382342557754328912801404389919814174465565400420406163770362602860057795337<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2996873963
Step 1 took 40786ms
Step 2 took 13546ms
********** Factor found in step 2: 99591498556396002509197776472788369788070541
Found probable prime factor of 44 digits: 99591498556396002509197776472788369788070541

1596971338660973970740807950156879601322752395057044516239825848727043303867209068390893907312512395933120680171864167116659301080982086473449081311480843103525601151454208210021257022794056774957<196>

1064994311469235496092287241085507213259355662238156759998229742231349323<73>
1499511613783024137441786196389080011441146724019693413329361757303133322202060345783762209851923031007916726069377708416359<124>

Number: 21117_221
N = 1596971338660973970740807950156879601322752395057044516239825848727043303867209068390893907312512395933120680171864167116659301080982086473449081311480843103525601151454208210021257022794056774957 (196 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1064994311469235496092287241085507213259355662238156759998229742231349323 (pp73)
r2=1499511613783024137441786196389080011441146724019693413329361757303133322202060345783762209851923031007916726069377708416359 (pp124)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 51.29 hours.
Factorization parameters were as follows:
n: 1596971338660973970740807950156879601322752395057044516239825848727043303867209068390893907312512395933120680171864167116659301080982086473449081311480843103525601151454208210021257022794056774957
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 190
c0: 53
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 10715360 relations
Pruned matrix : 9092782 x 9093007
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 35.20 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 15.46 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 51.29 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

252719098584576000063237595604560430070302769264648345716606845289183360469494201642852467188846683505862823890327654233515303372987824574203530859380186482087156098355160091375377810192340281075444913365727<207>

233844865570227681653583950821511290878287420737<48>
1080712625305343973243171097577988860213626297888885512076781998675767432583065238568969410795660169382142735971919957298937341736144903349484538595586190858271<160>

Number: 21117_222
N = 252719098584576000063237595604560430070302769264648345716606845289183360469494201642852467188846683505862823890327654233515303372987824574203530859380186482087156098355160091375377810192340281075444913365727 (207 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=233844865570227681653583950821511290878287420737 (pp48)
r2=1080712625305343973243171097577988860213626297888885512076781998675767432583065238568969410795660169382142735971919957298937341736144903349484538595586190858271 (pp160)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 64.58 hours.
Factorization parameters were as follows:
n: 252719098584576000063237595604560430070302769264648345716606845289183360469494201642852467188846683505862823890327654233515303372987824574203530859380186482087156098355160091375377810192340281075444913365727
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1900
c0: 53
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: 35385846
Relations: 9910638 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 31.50 hours.
Total relation processing time: 0.36 hours.
Pruned matrix : 8446017 x 8446242
Matrix solve time: 32.47 hours.
time per square root: 0.25 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: 64.58 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

78227801724778153084280879468091058382279042467408584539996541107774481731739789595190618741648917001772028829466723928771288098773341877348667145619837565150303285505826292435040452012027228726753332137<203>

56984333959421372216131344749868443055599073319097653215999706380365273290526186075360519717406340804797965176595098959944309320961468012701681757592256053599196289413873521791918489662783656299842685415157266309<212>

275117741799193505671252609010098491146567367805525336577571642826243885506975312555788369713221224918996364985538162743389784590472806308677841922599390715018264200684538930438089154508750013848717375817<204>

172543456320323435341656805286810954411743201915841205178813427301085818936775665438591111428048199255223909558063919117150973323570140946061263473714730392114693631206032562778255530776422206016797<198>

1599754428058019950538642143247572563110162860301192468797267223977195975863088095424377654966136020634831510145547468177796972803699510762141740874361628051204859733672829736667362272924137117676774347<202>

180591198555270411557836707537306339701549282387605740899154072806767417545860659633114722935082216519342267845261857237905142096758863225929094192567246459462028324303773405569812755441497956468016348255869213953046288375629693<228>

474490194756014734917010740008454555586542402533<48>

380600485639395186948550094528948277490303689907247232302781567048481241546576330995175869294019239312220131480085033005773286268722606932960232552505094987797005584249166700270521<180>

Input number is 180591198555270411557836707537306339701549282387605740899154072806767417545860659633114722935082216519342267845261857237905142096758863225929094192567246459462028324303773405569812755441497956468016348255869213953046288375629693 (228 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4060922042
Step 1 took 66578ms
Step 2 took 21461ms
********** Factor found in step 2: 474490194756014734917010740008454555586542402533
Found probable prime factor of 48 digits: 474490194756014734917010740008454555586542402533
Composite cofactor 380600485639395186948550094528948277490303689907247232302781567048481241546576330995175869294019239312220131480085033005773286268722606932960232552505094987797005584249166700270521 has 180 digits

2659175370087558169059830412013591382195715939538713350792384640633420118829384930774321389826254155352840522268608358206368390023742948517797487660619419167709025952195765758083132322103780532192381<199>

359643095183471309187534394499735335886944157968425912260163437661498421354150252008255200285046995119097530814419574127826755143011989572951605139482867622960799431058950320733425489711277835025241089340722944293671<216>

1974103232260898437343327112310690313937520837215925902905430809835144276344549439699983976415450037555886149002371768226428005372180467705285893819107364458232320390246557365607941283141800683637103465840412641099367591<220>

914713608346844098827673357<27>
2158165369189906612546602659156213247387413602882835617973654759481065870315015393860048619123846354187950903666905001213060683345137964774953786094978939675947903982920580391943782391836927363<193>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2766794197
Step 1 took 11289ms
Step 2 took 7604ms
********** Factor found in step 2: 914713608346844098827673357
Found probable prime factor of 27 digits: 914713608346844098827673357
Probable prime cofactor 2158165369189906612546602659156213247387413602882835617973654759481065870315015393860048619123846354187950903666905001213060683345137964774953786094978939675947903982920580391943782391836927363 has 193 digits

1707523698379882607297646216748532777349647799597442241826127995383093031713734560513011688321349966303381787296645540818509587647433218701581407176208896360041641102555375702902219184376156880079997041672414594725550008350367399<229>

59682410329486225989514676705716496771951614209327732178200183919382567449848848062169876192396529018512461261694093382384435496633207632210216910317199675175240084536476642317888916171634769986568399109395187534556777191702822113<230>

172257054854745105977592242858316223<36>

346472952180757519279319855880304524486294341382941100621311244813546949384140172712812351683267108007945916291066332302317292409302835070796900456473659410639659707647161266566627363682408110431<195>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1995454463
Step 1 took 156134ms
Step 2 took 49622ms
********** Factor found in step 2: 172257054854745105977592242858316223
Found probable prime factor of 36 digits: 172257054854745105977592242858316223

4355999536824032290334866072225466561393709305438326040433143989454419569025828779504382235900984940124685732366324015170043531736384528876889054927969386515199566776846927787028348963391199183572474576212215657629595565510629<226>

3066262630432282680379275422870897934954164473097284419571744326982204166062922640452724722763307294893870393755530602937374154264492725212974738808973562328199610659243431013914562050745221942515620433754969<208>

1041594095720599368395860894061421355771832191328792935109913923292104486825141180244013389852329505958628963824775364369968392063554944471730007279190117741173259820044965077373134956785767739470073748752761559829587477<220>

128949026922046184647377201805149944505624089145289465083384146937790081940450835049106613918957595287563366785613787213300719437324473742479722018413349378576694262740413238455707309115199015059507163910628552731009292743<222>

18302399210115823893050836016563174405266407257129672109768462937946167934035893023901738536462680113925842733050045020755858691833700788444845239003255284158217929711322628264419574210195877785292623247<203>

215561949040544296275821654789422073420132462336283242851437064233189611700172910930598507034347091055084765486351398408868804233762125477022248612344860063490536926517707493931495574637430947868731047719775169075439174179<222>

120274551372135618517583575647281569422115451906525714460076235622178582194292389503442958024740830726654919920116094807438897183835170767165865181487954763555951311899913000320899718696449466419206017479575166315771898163942140499543<234>

15062148746489088615606901014647<32>
7985218669425968433019194709570670156369883433380590818942907900871707604875203193354910811069016726915495696998820876247217946024577500330610373513956474701198867238937122908684247334966421605587988769<202>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3930902939
Step 1 took 48751ms
Step 2 took 15552ms
********** Factor found in step 2: 15062148746489088615606901014647
Found probable prime factor of 32 digits: 15062148746489088615606901014647

510440659567112538869921943202369110411057346118678592449266861213037659742748660096638014825441168394042169323800072443149532400633735009673838226995077952703361066141088386636637625466566275923925973826853940648572314626010380332698111<237>

705553705400901527556968375061107256979<39>

723461099643826374485083088692563358480257500559931453639509948420311120128780323994982756798072921106303781022437105732392058059720023903224243470500645103105098447474995210486043565824847962500709<198>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1397228353
Step 1 took 180589ms
Step 2 took 51668ms
********** Factor found in step 2: 705553705400901527556968375061107256979
Found probable prime factor of 39 digits: 705553705400901527556968375061107256979

45314487420588983807524570164838596145340983907980743456006446770221898086588971851325940756475116669347752682901874204076738153008467958309599274758721410050891280653808196162058309343345576400929043731797701207<212>

45099777442093013258788623301046877397038335594137703055517042719292505074496405796973477366830979397923193227551567975654475508459044809026297941330459100780223776075712177113187457391095134396268624813550992455020864462564585551678636266283423<245>

25040812997048603242666593814922052357652899218822403992330570519714897863488719656558149609611450871848007945253868842412738444503061815870522764566234748172553253556862664940372631770523638906481481905811755012399<215>

4473511690266167089413223633702095756094940773304766652645109330282449547912264574861237200071014127135245625823385177684437024337826639289436595574136025363402729086396087052574291955698869860902203<199>

413391037044957831377582539903929707652076538276486758713635611509859625380275148019002567540186956790030143348864135824355472865744651787751356303908559005337995653545571690766459867218178044391202841009883347657295028690924586389803898008947<243>

1019663738126902235574919253265954189655500370718823311755424323406829415591730767773946911122755162034039887628628563993585829063774844438783622776079423677782118554341451149363450566456667653852953324087704868057539852947777381<229>

2071565462707845769856921859594666605988940378704863178050525992880355839660235206261026139087548452175865251642045509978727014629676373171822804650346251963345345233540484108845765102855206368302273006410195551062723577349352809<229>

3180879916371884841568256555032313767277566376268628462999816929760120258725014923196088019922804324036919060271095545325161698157659059491575912987887136932295894578036477300963112773134630928589933862632774780222328348049040374506689569469<241>

117895283510451451010783589946999678896682821981466402261052833300716672397928699005007862777733132695416846294092378413058374478321902361769533000711026454851532701046035830970355063425894099370223872036409637636622251231907983699202420412508523286059<252>

112801711930952704432843566446990222859490884702538339277142018512511340491424169041087895590601434510289963909726716807706646133176263169740146741491664422100244510144213438203143972289511636961997894527423966631978842437<222>

63589747042699418109082774850551068541046408332049230638215246834069191000928373090526936480277573375435717392235409932543951110916633224015865262697964470247401477673642874361633475591831108710431295850466751681679620470296771<227>

412233173337295491053423596083936120653059502762872473873618937516047585681687332156499890116982281688800869232041523951544705628397424658278884450661620450314506541074360823832981848188349179757851836175076517966180531722048889<228>

10981543802889787346867885173844642210959668630300608704027561164822254031511644184615666783144241188926849484058633263440512498066897831088593666588819716927370516845890578402877202159879801901233867706334358001<212>

1307646016966604312698395302505593125865659157817422676956399050170463711011083417256369535104067108653277697203938886671015004057991276127746583216773229066688898935090970829365722752337035573890521653606340394644726482575692264992548046730862281<247>

27086636897615481949114005440945095481883533652490924256120509090159568722377608424167260861886876675874906763714251242715629911078263627728998889510591183247844835689881989<173>

6160623549691004487657038790242343507627031649<46>

4396736252286353987661865582753451647781408219494317140221196303255015748759292111606458690696285340820119882807255640385738661<127>

Using B1=11000000, B2=11000000-58553269330, polynomial Dickson(12), sigma=1934338708
Step 1 took 54052ms
Step 2 took 28092ms
********** Factor found in step 2: 6160623549691004487657038790242343507627031649
Found probable prime factor of 46 digits: 6160623549691004487657038790242343507627031649
Composite cofactor

4396736252286353987661865582753451647781408219494317140221196303255015748759292111606458690696285340820119882807255640385738661<127>

6911438094269357613853778934630947942664307466909<49>
636153603970195840236657375726971892640782091457208173864026691088267782018729<78>

N = 4396736252286353987661865582753451647781408219494317140221196303255015748759292111606458690696285340820119882807255640385738661 (127 digits)
Divisors found:
r1=6911438094269357613853778934630947942664307466909 (pp49)
r2=636153603970195840236657375726971892640782091457208173864026691088267782018729 (pp78)
Version: Msieve v. 1.52 (SVN exported)
Total time: 9.50 hours.
Factorization parameters were as follows:
n: 4396736252286353987661865582753451647781408219494317140221196303255015748759292111606458690696285340820119882807255640385738661
Y0: -4244376471442087643812486
Y1: 15940780074197
c0: -56398733131457190200499106059915
c1: -286050989929289079496073688
c2: 2789813598102953255783
c3: -15901994170411564
c4: -3836032888
c5: 3192
skew: 809551.88
type: gnfs
# selected mechanically
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18119947
Relations: 1565850 relations
Pruned matrix : 948913 x 949139
Polynomial selection time: 0.00 hours.
Total sieving time: 8.69 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.49 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,7900000,7900000,28,28,53,53,2.5,2.5,600000
total time: 9.50 hours.

16688515030212147573102187692312305749760366843837810956731509722996463376448854153997889572416734628677712193825934014146585272686118251349653763096107049629133233088469193017141969628197071522307095016454474547306565929658892764332073141263<242>

1663691985151935556076762646348417500278391211144462036791344847874267213554885670309550891501615410333687560850279164676519123603335748050720675759248261659664611663913710360877385742682639344440878558769901990948463<217>

7037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037039<268>

6550515798603841987023390680717220559850303438133979074803885019131698740065206074927023847394538326352229478341027439059502409223696294149049174972658632963987457195781224127832212595287003743024871583243129793331216951605645647804686134199302479721<250>

781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559670781893004115226337448559671<270>

812733967560419330676999544332081658771160837174484267724651407217722030545122697019723611993253419964625367496965692653632020555021400779702022154258601248958087446941684776280783035477139682525661282610403568748539063269748025652496981<237>

456207400729795949359786689968207228258217708577194348719143747075287711597559003433635686144790674178971218099887474270513239776634770676979770677894509522901060953993789761197187105231508937663284855080271922053008284348114943620968769830573124247427<252>

2891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933029<274>

498855766406991935163822760980086117<36>

5797132605579513481352048027816633461880131447071597380548327927616796171734422579187547201670517346604813846941765952111132424105967767154571846163899981966827374491264767828313450905502212239623653323698560996821912683889591902216155137<238>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:865901566 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 2891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933029 (274 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:865901566
Step 1 took 23218ms
Step 2 took 11219ms
********** Factor found in step 2: 498855766406991935163822760980086117
Found probable prime factor of 36 digits: 498855766406991935163822760980086117
Composite cofactor 5797132605579513481352048027816633461880131447071597380548327927616796171734422579187547201670517346604813846941765952111132424105967767154571846163899981966827374491264767828313450905502212239623653323698560996821912683889591902216155137 has 238 digits

1225378928847724692146895060741142049485020445121667285415104270614163502978435365510794617159088859330757174892485586682535339557487344081753945108588290161977517964623667893607243573829754456635306120010579634571837588753509999264015210177993272443337659362585181121<268>

26722925457102672292545710267229254571026722925457102672292545710267229254571026722925457102672292545710267229254571026722925457102672292545710267229254571026722925457102672292545710267229254571026722925457102672292545710267229254571026722925457102672292545710267229254571026723<278>

32090947944728264478156596991543186770916280406441508413641671278986790476352193976828165266678501485298626345819961687368491124322087204848397067614605143636442154580972993275503407223240735158494588547040339711016910477375979118892897025703603082334756735356719034289<269>

164187264705023615981025353715952708141436773720651873526322892188491853759585682089048618611411055668293488808810065275407404916158075571107335198989882758087682073758442115571168743346253473806669366000046747472788657<219>