33057851239669421487603305785123966942148760330578512396694214876033057851239669421487603305785123967<101>

2585280752085942635036731470745668477195362783<46>
12786948269736886765489577885313149519498166924858577249<56>

Number: 40007_102
N=33057851239669421487603305785123966942148760330578512396694214876033057851239669421487603305785123967
  ( 101 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=2585280752085942635036731470745668477195362783 (pp46)
 r2=12786948269736886765489577885313149519498166924858577249 (pp56)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 0.61 hours.
Scaled time: 0.42 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_102
n: 33057851239669421487603305785123966942148760330578512396694214876033057851239669421487603305785123967
m: 200000000000000000000
c5: 25
c0: 14
skew: 0.89
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [250000, 290001)
Primes: RFBsize:37706, AFBsize:41617, largePrimes:1013476 encountered
Relations: rels:951414, finalFF:91482
Max relations in full relation-set: 0
Initial matrix: 79387 x 91482 with sparse part having weight 2362982.
Pruned matrix : 65477 x 65937 with weight 1513258.
Total sieving time: 0.53 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,102,5,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.61 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<106>

1043329248228030997017608973380352553<37>
3833880826012994445256424591562881885990352920890139603449554354425519<70>

Number: 40007_105
N=4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007
  ( 106 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=1043329248228030997017608973380352553 (pp37)
 r2=3833880826012994445256424591562881885990352920890139603449554354425519 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.37 hours.
Scaled time: 0.79 units (timescale=2.144).
Factorization parameters were as follows:
n: 4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007
m: 1000000000000000000000
c5: 4
c0: 7
skew: 1.12
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 240001)
Primes: RFBsize:30757, AFBsize:30779, largePrimes:1084096 encountered
Relations: rels:1048724, finalFF:128939
Max relations in full relation-set: 28
Initial matrix: 61600 x 128939 with sparse part having weight 5037821.
Pruned matrix : 40561 x 40933 with weight 1175515.
Total sieving time: 0.35 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.37 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

3166527762487519882929791626294636973417702535337351459863375266451834768004729661731<85>

64819024777953578883539736640240237<35>
48851826656369687093848975611401730998510732736463<50>

Mon Sep 10 12:52:04 2007  Msieve v. 1.26
Mon Sep 10 12:52:04 2007  random seeds: d51dc9a3 8d7922ad
Mon Sep 10 12:52:04 2007  factoring 3166527762487519882929791626294636973417702535337351459863375266451834768004729661731 (85 digits)
Mon Sep 10 12:52:05 2007  commencing quadratic sieve (85-digit input)
Mon Sep 10 12:52:06 2007  using multiplier of 1
Mon Sep 10 12:52:06 2007  using 64kb Pentium 2 sieve core
Mon Sep 10 12:52:06 2007  sieve interval: 6 blocks of size 65536
Mon Sep 10 12:52:06 2007  processing polynomials in batches of 17
Mon Sep 10 12:52:06 2007  using a sieve bound of 1426129 (54070 primes)
Mon Sep 10 12:52:06 2007  using large prime bound of 116942578 (26 bits)
Mon Sep 10 12:52:06 2007  using trial factoring cutoff of 27 bits
Mon Sep 10 12:52:06 2007  polynomial 'A' values have 11 factors
Mon Sep 10 16:46:56 2007  
Mon Sep 10 16:46:56 2007  
Mon Sep 10 16:46:56 2007  Msieve v. 1.26
Mon Sep 10 16:46:57 2007  random seeds: 2317f812 12a05399
Mon Sep 10 16:46:57 2007  factoring 3166527762487519882929791626294636973417702535337351459863375266451834768004729661731 (85 digits)
Mon Sep 10 16:46:57 2007  commencing quadratic sieve (85-digit input)
Mon Sep 10 16:46:58 2007  using multiplier of 1
Mon Sep 10 16:46:58 2007  using 64kb Pentium 2 sieve core
Mon Sep 10 16:46:58 2007  sieve interval: 6 blocks of size 65536
Mon Sep 10 16:46:58 2007  processing polynomials in batches of 17
Mon Sep 10 16:46:58 2007  using a sieve bound of 1426129 (54070 primes)
Mon Sep 10 16:46:58 2007  using large prime bound of 116942578 (26 bits)
Mon Sep 10 16:46:58 2007  using trial factoring cutoff of 27 bits
Mon Sep 10 16:46:58 2007  polynomial 'A' values have 11 factors
Mon Sep 10 16:47:01 2007  restarting with 21856 full and 243609 partial relations
Mon Sep 10 17:26:58 2007  54200 relations (26099 full + 28101 combined from 290676 partial), need 54166
Mon Sep 10 17:27:01 2007  begin with 316775 relations
Mon Sep 10 17:27:01 2007  reduce to 78679 relations in 2 passes
Mon Sep 10 17:27:01 2007  attempting to read 78679 relations
Mon Sep 10 17:27:05 2007  recovered 78679 relations
Mon Sep 10 17:27:05 2007  recovered 75104 polynomials
Mon Sep 10 17:27:06 2007  attempting to build 54200 cycles
Mon Sep 10 17:27:06 2007  found 54200 cycles in 1 passes
Mon Sep 10 17:27:06 2007  distribution of cycle lengths:
Mon Sep 10 17:27:06 2007     length 1 : 26099
Mon Sep 10 17:27:06 2007     length 2 : 28101
Mon Sep 10 17:27:06 2007  largest cycle: 2 relations
Mon Sep 10 17:27:06 2007  matrix is 54070 x 54200 with weight 1761587 (avg 32.50/col)
Mon Sep 10 17:27:08 2007  filtering completed in 3 passes
Mon Sep 10 17:27:08 2007  matrix is 42387 x 42451 with weight 1482165 (avg 34.91/col)
Mon Sep 10 17:27:10 2007  saving the first 48 matrix rows for later
Mon Sep 10 17:27:10 2007  matrix is 42339 x 42451 with weight 1055687 (avg 24.87/col)
Mon Sep 10 17:27:10 2007  matrix includes 64 packed rows
Mon Sep 10 17:27:10 2007  commencing Lanczos iteration
Mon Sep 10 17:29:38 2007  lanczos halted after 670 iterations
Mon Sep 10 17:29:39 2007  recovered 17 nontrivial dependencies
Mon Sep 10 17:29:40 2007  prp35 factor: 64819024777953578883539736640240237
Mon Sep 10 17:29:40 2007  prp50 factor: 48851826656369687093848975611401730998510732736463
Mon Sep 10 17:29:40 2007  elapsed time 00:42:43

Pentiu3 750MZh,  Windows Me)

1186052018880990557463388064411320977047917277971455374837039249136844921468320398869036762045023319<100>

7571231308415109663829195119389645559083504639<46>
156652461213639440290493125833595279391925366872158121<54>

Number: 40007_117
N=1186052018880990557463388064411320977047917277971455374837039249136844921468320398869036762045023319
  ( 100 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=7571231308415109663829195119389645559083504639 (pp46)
 r2=156652461213639440290493125833595279391925366872158121 (pp54)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.85 hours.
Scaled time: 1.81 units (timescale=2.142).
Factorization parameters were as follows:
n: 1186052018880990557463388064411320977047917277971455374837039249136844921468320398869036762045023319
m: 200000000000000000000000
c5: 25
c0: 14
skew: 0.89
type: snfs
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [300000, 420001)
Primes: RFBsize:49098, AFBsize:49126, largePrimes:2081921 encountered
Relations: rels:2247563, finalFF:299949
Max relations in full relation-set: 28
Initial matrix: 98288 x 299949 with sparse part having weight 25856697.
Pruned matrix : 64697 x 65252 with weight 4307300.
Total sieving time: 0.80 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,600000,600000,25,25,46,46,2.4,2.4,30000
total time: 0.85 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

5682696363334512849721537896612724909471809965504303562702985349408048099863665858911364855031<94>

16163441146585422712119803589901420539893<41>
351577137058775393064141868807182275859318715677825467<54>

Number: 40007_120
N=5682696363334512849721537896612724909471809965504303562702985349408048099863665858911364855031
  ( 94 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=16163441146585422712119803589901420539893 (pp41)
 r2=351577137058775393064141868807182275859318715677825467 (pp54)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.14 hours.
Scaled time: 1.46 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_120
n: 5682696363334512849721537896612724909471809965504303562702985349408048099863665858911364855031
m: 1000000000000000000000000
c5: 4
c0: 7
skew: 1.12
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, 550001)
Primes: RFBsize:49098, AFBsize:63998, largePrimes:2233386 encountered
Relations: rels:2497504, finalFF:145478
Max relations in full relation-set: 0
Initial matrix: 113160 x 145478 with sparse part having weight 5118153.
Pruned matrix : 93207 x 93836 with weight 3055007.
Total sieving time: 1.96 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.14 hours.
 --------- CPU info (if available) ----------

Pentium 4 3.4GHz, Windows XP and Cygwin)

7082436808750471977331869139572712189502812999808595720773130522724928764839469912722939255229931527<100>

893003465557677469001745507020861686789619767<45>
7931029477391238937468273562091619341494204808802031281<55>

Number: 40007_123
N=7082436808750471977331869139572712189502812999808595720773130522724928764839469912722939255229931527
  ( 100 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=893003465557677469001745507020861686789619767 (pp45)
 r2=7931029477391238937468273562091619341494204808802031281 (pp55)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.59 hours.
Scaled time: 1.77 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_123
n: 7082436808750471977331869139572712189502812999808595720773130522724928764839469912722939255229931527
m: 2000000000000000000000000
c5: 125
c0: 7
skew: 0.56
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, 600001)
Primes: RFBsize:49098, AFBsize:63758, largePrimes:2177651 encountered
Relations: rels:2321280, finalFF:137515
Max relations in full relation-set: 0
Initial matrix: 112921 x 137515 with sparse part having weight 6377289.
Pruned matrix : 100907 x 101535 with weight 4197773.
Total sieving time: 2.36 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.59 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

1229854275520714967260471838947950713893193162791736456300050444358471249630604163174163844579709<97>

67816150798627989304720548529530399180885482189<47>
18135123580998002481347196781299085919725495181681<50>

Number: 40007_124
N=1229854275520714967260471838947950713893193162791736456300050444358471249630604163174163844579709
  ( 97 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=67816150798627989304720548529530399180885482189 (pp47)
 r2=18135123580998002481347196781299085919725495181681 (pp50)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.58 hours.
Scaled time: 1.76 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_124
n: 1229854275520714967260471838947950713893193162791736456300050444358471249630604163174163844579709
m: 10000000000000000000000000
c5: 2
c0: 35
skew: 1.77
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, 600001)
Primes: RFBsize:49098, AFBsize:63938, largePrimes:2187471 encountered
Relations: rels:2353021, finalFF:136777
Max relations in full relation-set: 0
Initial matrix: 113101 x 136777 with sparse part having weight 5875625.
Pruned matrix : 100625 x 101254 with weight 3925534.
Total sieving time: 2.35 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.58 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

137208469002073731963742143203405569527855447772540937594569482584938095837884419815979777<90>

377275926509092007527238672431385514979<39>
363682014571282571218438761205122109617347029045963<51>

Mon Sep 10 22:32:35 2007  
Mon Sep 10 22:32:35 2007  
Mon Sep 10 22:32:35 2007  Msieve v. 1.25
Mon Sep 10 22:32:35 2007  random seeds: 1cdda497 27465ce9
Mon Sep 10 22:32:35 2007  factoring 137208469002073731963742143203405569527855447772540937594569482584938095837884419815979777 (90 digits)
Mon Sep 10 22:32:35 2007  commencing quadratic sieve (89-digit input)
Mon Sep 10 22:32:35 2007  using multiplier of 1
Mon Sep 10 22:32:35 2007  using 32kb Intel Core sieve core
Mon Sep 10 22:32:35 2007  sieve interval: 35 blocks of size 32768
Mon Sep 10 22:32:35 2007  processing polynomials in batches of 6
Mon Sep 10 22:32:35 2007  using a sieve bound of 1565341 (59667 primes)
Mon Sep 10 22:32:35 2007  using large prime bound of 125227280 (26 bits)
Mon Sep 10 22:32:35 2007  using double large prime bound of 376580721415840 (42-49 bits)
Mon Sep 10 22:32:35 2007  using trial factoring cutoff of 49 bits
Mon Sep 10 22:32:35 2007  polynomial 'A' values have 11 factors
Mon Sep 10 23:20:35 2007  59861 relations (16019 full + 43842 combined from 631769 partial), need 59763
Mon Sep 10 23:20:36 2007  begin with 647788 relations
Mon Sep 10 23:20:36 2007  reduce to 145237 relations in 10 passes
Mon Sep 10 23:20:36 2007  attempting to read 145237 relations
Mon Sep 10 23:20:37 2007  recovered 145237 relations
Mon Sep 10 23:20:37 2007  recovered 120863 polynomials
Mon Sep 10 23:20:37 2007  attempting to build 59861 cycles
Mon Sep 10 23:20:37 2007  found 59861 cycles in 6 passes
Mon Sep 10 23:20:38 2007  distribution of cycle lengths:
Mon Sep 10 23:20:38 2007     length 1 : 16019
Mon Sep 10 23:20:38 2007     length 2 : 11430
Mon Sep 10 23:20:38 2007     length 3 : 10659
Mon Sep 10 23:20:38 2007     length 4 : 7965
Mon Sep 10 23:20:38 2007     length 5 : 5631
Mon Sep 10 23:20:38 2007     length 6 : 3573
Mon Sep 10 23:20:38 2007     length 7 : 2094
Mon Sep 10 23:20:38 2007     length 9+: 2490
Mon Sep 10 23:20:38 2007  largest cycle: 18 relations
Mon Sep 10 23:20:38 2007  matrix is 59667 x 59861 with weight 3591214 (avg 59.99/col)
Mon Sep 10 23:20:38 2007  filtering completed in 3 passes
Mon Sep 10 23:20:38 2007  matrix is 55719 x 55783 with weight 3372987 (avg 60.47/col)
Mon Sep 10 23:20:39 2007  saving the first 48 matrix rows for later
Mon Sep 10 23:20:39 2007  matrix is 55671 x 55783 with weight 2801744 (avg 50.23/col)
Mon Sep 10 23:20:39 2007  matrix includes 64 packed rows
Mon Sep 10 23:20:39 2007  using block size 22313 for processor cache size 4096 kB
Mon Sep 10 23:20:39 2007  commencing Lanczos iteration
Mon Sep 10 23:20:58 2007  lanczos halted after 882 iterations
Mon Sep 10 23:20:58 2007  recovered 14 nontrivial dependencies
Mon Sep 10 23:20:58 2007  prp39 factor: 377275926509092007527238672431385514979
Mon Sep 10 23:20:58 2007  prp51 factor: 363682014571282571218438761205122109617347029045963
Mon Sep 10 23:20:58 2007  elapsed time 00:48:23

Core 2 Quad Q6600

2517350121988647718566832619749419527856760925822505300539585253388798073057602635805421866091633938194938017<109>

408504680191109431162215803581538597<36>
6162353197057531640657105318413959662898339394094871838459411864184198861<73>

Number: 40007_130
N=2517350121988647718566832619749419527856760925822505300539585253388798073057602635805421866091633938194938017
  ( 109 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=408504680191109431162215803581538597 (pp36)
 r2=6162353197057531640657105318413959662898339394094871838459411864184198861 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 1.80 hours.
Scaled time: 3.85 units (timescale=2.143).
Factorization parameters were as follows:
n: 2517350121988647718566832619749419527856760925822505300539585253388798073057602635805421866091633938194938017
m: 100000000000000000000000000
c5: 4
c0: 7
skew: 1.12
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 850001)
Primes: RFBsize:78498, AFBsize:78491, largePrimes:1505533 encountered
Relations: rels:1534239, finalFF:204166
Max relations in full relation-set: 28
Initial matrix: 157053 x 204166 with sparse part having weight 9603809.
Pruned matrix : 132553 x 133402 with weight 4860764.
Total sieving time: 1.72 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 1.80 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

16431694225566222948609513601281972899576566543250776087667169652945304700613585557818414923365161820437<104>

105178237608324529255932346205701327687403<42>
156227130243012416024084470042988923198135605773570637061345279<63>

Number: 40007_132
N=16431694225566222948609513601281972899576566543250776087667169652945304700613585557818414923365161820437
  ( 104 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=105178237608324529255932346205701327687403 (pp42)
 r2=156227130243012416024084470042988923198135605773570637061345279 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.47 hours.
Scaled time: 5.23 units (timescale=2.118).
Factorization parameters were as follows:
n: 16431694225566222948609513601281972899576566543250776087667169652945304700613585557818414923365161820437
m: 200000000000000000000000000
c5: 25
c0: 14
skew: 0.89
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 1000001)
Primes: RFBsize:78498, AFBsize:78371, largePrimes:1569406 encountered
Relations: rels:1611834, finalFF:216226
Max relations in full relation-set: 28
Initial matrix: 156933 x 216226 with sparse part having weight 10703211.
Pruned matrix : 133627 x 134475 with weight 5265424.
Total sieving time: 2.38 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 2.47 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

4807235156427862477801484912313373050636771228697485220905861647175509857379509740170422840569881678066473217<109>

26266897688914103600761963556264623<35>
183014957204357914443774593629154442488846573682381077826399652046581216079<75>

Number: 40007_133
N=4807235156427862477801484912313373050636771228697485220905861647175509857379509740170422840569881678066473217
  ( 109 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=26266897688914103600761963556264623 (pp35)
 r2=183014957204357914443774593629154442488846573682381077826399652046581216079 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.48 hours.
Scaled time: 5.32 units (timescale=2.144).
Factorization parameters were as follows:
n: 4807235156427862477801484912313373050636771228697485220905861647175509857379509740170422840569881678066473217
m: 1000000000000000000000000000
c5: 1
c0: 175
skew: 2.81
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1100001)
Primes: RFBsize:107126, AFBsize:107108, largePrimes:2183290 encountered
Relations: rels:2279537, finalFF:274333
Max relations in full relation-set: 28
Initial matrix: 214298 x 274333 with sparse part having weight 17720307.
Pruned matrix : 182909 x 184044 with weight 9107441.
Total sieving time: 2.27 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 2.48 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

2297104313605487751994058909995621445226670899397396722147182347374454856888894351<82>

13843131922546324190310604226546490969103<41>
165938194222088675576956806070665609433217<42>

Mon Sep 10 12:56:10 2007  
Mon Sep 10 12:56:10 2007  
Mon Sep 10 12:56:10 2007  Msieve v. 1.26
Mon Sep 10 12:56:10 2007  random seeds: ae13a040 ea7e6816
Mon Sep 10 12:56:10 2007  factoring 2297104313605487751994058909995621445226670899397396722147182347374454856888894351 (82 digits)
Mon Sep 10 12:56:11 2007  commencing quadratic sieve (82-digit input)
Mon Sep 10 12:56:11 2007  using multiplier of 1
Mon Sep 10 12:56:11 2007  using 64kb Pentium 2 sieve core
Mon Sep 10 12:56:11 2007  sieve interval: 6 blocks of size 65536
Mon Sep 10 12:56:11 2007  processing polynomials in batches of 17
Mon Sep 10 12:56:11 2007  using a sieve bound of 1338397 (51471 primes)
Mon Sep 10 12:56:11 2007  using large prime bound of 125809318 (26 bits)
Mon Sep 10 12:56:11 2007  using trial factoring cutoff of 27 bits
Mon Sep 10 12:56:11 2007  polynomial 'A' values have 10 factors
Mon Sep 10 14:47:10 2007  51608 relations (26063 full + 25545 combined from 276098 partial), need 51567
Mon Sep 10 14:47:12 2007  begin with 302161 relations
Mon Sep 10 14:47:12 2007  reduce to 73959 relations in 2 passes
Mon Sep 10 14:47:12 2007  attempting to read 73959 relations
Mon Sep 10 14:47:15 2007  recovered 73959 relations
Mon Sep 10 14:47:15 2007  recovered 65324 polynomials
Mon Sep 10 14:47:15 2007  attempting to build 51608 cycles
Mon Sep 10 14:47:15 2007  found 51608 cycles in 1 passes
Mon Sep 10 14:47:15 2007  distribution of cycle lengths:
Mon Sep 10 14:47:15 2007     length 1 : 26063
Mon Sep 10 14:47:15 2007     length 2 : 25545
Mon Sep 10 14:47:15 2007  largest cycle: 2 relations
Mon Sep 10 14:47:16 2007  matrix is 51471 x 51608 with weight 1602662 (avg 31.05/col)
Mon Sep 10 14:47:19 2007  filtering completed in 4 passes
Mon Sep 10 14:47:19 2007  matrix is 44265 x 44329 with weight 1349414 (avg 30.44/col)
Mon Sep 10 14:47:21 2007  saving the first 48 matrix rows for later
Mon Sep 10 14:47:21 2007  matrix is 44217 x 44329 with weight 1066574 (avg 24.06/col)
Mon Sep 10 14:47:21 2007  matrix includes 64 packed rows
Mon Sep 10 14:47:21 2007  commencing Lanczos iteration
Mon Sep 10 14:50:30 2007  lanczos halted after 700 iterations
Mon Sep 10 14:50:31 2007  recovered 5 nontrivial dependencies
Mon Sep 10 14:50:32 2007  prp41 factor: 13843131922546324190310604226546490969103
Mon Sep 10 14:50:32 2007  prp42 factor: 165938194222088675576956806070665609433217
Mon Sep 10 14:50:32 2007  elapsed time 01:54:22

Celeron  750MHz, Windows 2000)

350053643661005279748843704503251430769753790262193682777340431379729126555588061839938125103056209629639011990529239160361<123>

31986300717986806917050274578788541806841309083879<50>
10943861459545403346659982155635581621711169730625226161155822473142568559<74>

Number: 40007_139
N=350053643661005279748843704503251430769753790262193682777340431379729126555588061839938125103056209629639011990529239160361
  ( 123 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=31986300717986806917050274578788541806841309083879 (pp50)
 r2=10943861459545403346659982155635581621711169730625226161155822473142568559 (pp74)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 8.92 hours.
Scaled time: 6.09 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_139
n: 350053643661005279748843704503251430769753790262193682777340431379729126555588061839938125103056209629639011990529239160361
m: 10000000000000000000000000000
c5: 2
c0: 35
skew: 1.77
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, 1300001)
Primes: RFBsize:78498, AFBsize:63938, largePrimes:1494045 encountered
Relations: rels:1474401, finalFF:159762
Max relations in full relation-set: 0
Initial matrix: 142501 x 159762 with sparse part having weight 13322206.
Pruned matrix : 137478 x 138254 with weight 9904526.
Total sieving time: 8.38 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.40 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.92 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

282372936349849676344049794975421655211442692035412953083742345621409096950554935978685573531<93>

246523695335114998234346215684034044871<39>
1145419047714673326600757462103639786711752383269528461<55>

Number: 40007_140
N=282372936349849676344049794975421655211442692035412953083742345621409096950554935978685573531
  ( 93 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=246523695335114998234346215684034044871 (pp39)
 r2=1145419047714673326600757462103639786711752383269528461 (pp55)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 8.01 hours.
Scaled time: 5.47 units (timescale=0.683).
Factorization parameters were as follows:
n: 282372936349849676344049794975421655211442692035412953083742345621409096950554935978685573531
m: 10000000000000000000000000000
c5: 4
c0: 7
skew: 1.12
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, 1350001)
Primes: RFBsize:100021, AFBsize:100128, largePrimes:2522999 encountered
Relations: rels:2447285, finalFF:225591
Max relations in full relation-set: 0
Initial matrix: 200213 x 225591 with sparse part having weight 13214244.
Pruned matrix : 190912 x 191977 with weight 9721443.
Total sieving time: 7.15 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 8.01 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

77138895582555057683960164286975855480099655777007390049040546888128219076834911237456782247612999222062178689400653<116>

2229599509718725418315923215401<31>
34597646459065868838026205405922156262284783213861761567480768713986485734911023224453<86>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 77138895582555057683960164286975855480099655777007390049040546888128219076834911237456782247612999222062178689400653 (116 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2936475969
Step 1 took 6915ms
Step 2 took 3810ms
********** Factor found in step 2: 2229599509718725418315923215401
Found probable prime factor of 31 digits: 2229599509718725418315923215401
Probable prime cofactor 34597646459065868838026205405922156262284783213861761567480768713986485734911023224453 has 86 digits

Core 2 Quad Q6600

999178041337223852488855483773425882364042283838812522867286562602400394959670087123679083063501766312002003<108>

1000749795659211467211625369787<31>
998429423289612292605918747746093298336322693193270765403387192272005415284169<78>

Number: 40007_143
N=999178041337223852488855483773425882364042283838812522867286562602400394959670087123679083063501766312002003
  ( 108 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=1000749795659211467211625369787 (pp31)
 r2=998429423289612292605918747746093298336322693193270765403387192272005415284169 (pp78)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 12.96 hours.
Scaled time: 8.85 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_143
n: 999178041337223852488855483773425882364042283838812522867286562602400394959670087123679083063501766312002003
m: 20000000000000000000000000000
c5: 125
c0: 7
skew: 0.56
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, 1850001)
Primes: RFBsize:100021, AFBsize:99858, largePrimes:2670610 encountered
Relations: rels:2631232, finalFF:227950
Max relations in full relation-set: 0
Initial matrix: 199944 x 227950 with sparse part having weight 17712373.
Pruned matrix : 190831 x 191894 with weight 13565004.
Total sieving time: 11.85 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.90 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 12.96 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

143156537369984557247257807124511565476769024965337464560184628079260630402615596072010099193813141404565420500495397<117>

48338648874827112317609973195674549<35>
2961533694098241796253566194687162650499134657877589080508209090117714412844440753<82>

Number: 40007_144
N=143156537369984557247257807124511565476769024965337464560184628079260630402615596072010099193813141404565420500495397
  ( 117 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=48338648874827112317609973195674549 (pp35)
 r2=2961533694098241796253566194687162650499134657877589080508209090117714412844440753 (pp82)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 13.12 hours.
Scaled time: 8.96 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_144
n: 143156537369984557247257807124511565476769024965337464560184628079260630402615596072010099193813141404565420500495397
m: 100000000000000000000000000000
c5: 2
c0: 35
skew: 1.77
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, 1850001)
Primes: RFBsize:100021, AFBsize:99918, largePrimes:2650465 encountered
Relations: rels:2603751, finalFF:227166
Max relations in full relation-set: 0
Initial matrix: 200004 x 227166 with sparse part having weight 17999391.
Pruned matrix : 191344 x 192408 with weight 13832480.
Total sieving time: 12.00 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.91 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 13.12 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

64610856885336727557015043022754328523593462027391772776538505647796527489496697577577448226512742068613499469383337829172124938013959175630077<143>

245114463615524143538086032433891970756683404064249115073005692163<66>
263594632206945158216136499659187321494630614449650644664224883579346714068479<78>

Number: n
N=64610856885336727557015043022754328523593462027391772776538505647796527489496697577577448226512742068613499469383337829172124938013959175630077
  ( 143 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=245114463615524143538086032433891970756683404064249115073005692163 (pp66)
 r2=263594632206945158216136499659187321494630614449650644664224883579346714068479 (pp78)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 11.66 hours.
Scaled time: 8.43 units (timescale=0.723).
Factorization parameters were as follows:
name: KA_4_0_147_7
n: 64610856885336727557015043022754328523593462027391772776538505647796527489496697577577448226512742068613499469383337829172124938013959175630077
skew: 0.56
deg: 5
c5: 125
c0: 7
m: 200000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1200001)
Primes: RFBsize:148933, AFBsize:148595, largePrimes:6600171 encountered
Relations: rels:5970160, finalFF:355083
Max relations in full relation-set: 28
Initial matrix: 297593 x 355083 with sparse part having weight 26405611.
Pruned matrix : 257089 x 258640 with weight 16503342.
Total sieving time: 7.87 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.09 hours.
Total square root time: 0.47 hours, sqrts: 5.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,100000
total time: 11.66 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

1294404957058911574763733833658886023194297370404618272196308663603704846302793844151119322689824792125201967510771889<118>

458151166462975414839515281092455846471073253<45>
2825279191259063103973675923003172457201413683427285242607338783549973213<73>

Number: 40007_149
N=1294404957058911574763733833658886023194297370404618272196308663603704846302793844151119322689824792125201967510771889
  ( 118 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=458151166462975414839515281092455846471073253 (pp45)
 r2=2825279191259063103973675923003172457201413683427285242607338783549973213 (pp73)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 26.65 hours.
Scaled time: 18.20 units (timescale=0.683).
Factorization parameters were as follows:
name: 40007_149
n: 1294404957058911574763733833658886023194297370404618272196308663603704846302793844151119322689824792125201967510771889
m: 1000000000000000000000000000000
c5: 2
c0: 35
skew: 1.77
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 1550001)
Primes: RFBsize:114155, AFBsize:113967, largePrimes:2700927 encountered
Relations: rels:2700881, finalFF:256445
Max relations in full relation-set: 0
Initial matrix: 228187 x 256445 with sparse part having weight 13732659.
Pruned matrix : 217172 x 218376 with weight 10745713.
Total sieving time: 25.50 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 26.65 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

10688687110682450660439951947485525140658610226471628564203051191314620050655242128626856748244492908709436441566630388274780189<128>

309312185819485412279995450362993507710825827912972995314067713<63>
34556307836253073852792654157706035652442377990012162822070317853<65>

Number: 40007_153
N=10688687110682450660439951947485525140658610226471628564203051191314620050655242128626856748244492908709436441566630388274780189
  ( 128 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=309312185819485412279995450362993507710825827912972995314067713 (pp63)
 r2=34556307836253073852792654157706035652442377990012162822070317853 (pp65)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 34.45 hours.
Scaled time: 22.81 units (timescale=0.662).
Factorization parameters were as follows:
name: 40007_153
n: 10688687110682450660439951947485525140658610226471628564203051191314620050655242128626856748244492908709436441566630388274780189
m: 2000000000000000000000000000000
c5: 125
c0: 7
skew: 0.56
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, 2100001)
Primes: RFBsize:176302, AFBsize:176043, largePrimes:5482109 encountered
Relations: rels:5371718, finalFF:399515
Max relations in full relation-set: 0
Initial matrix: 352410 x 399515 with sparse part having weight 26957995.
Pruned matrix : 325683 x 327509 with weight 20456304.
Total sieving time: 30.73 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.36 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 34.45 hours.
 --------- CPU info (if available) ----------

Pentium 2.4GHz, Windows XP and Cygwin)

45218080587979093989708475325381839456130749535604419753028667196019088987174074624391266950271169021962161020597<113>

4999642122681669494026196348160121217<37>
9044263464946840747038283509739191493041103507550062570873462979319591737141<76>

Number: 40007_154
N=45218080587979093989708475325381839456130749535604419753028667196019088987174074624391266950271169021962161020597
  ( 113 digits)
Divisors found:
 r1=4999642122681669494026196348160121217 (pp37)
 r2=9044263464946840747038283509739191493041103507550062570873462979319591737141 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 19.99 hours.
Scaled time: 42.53 units (timescale=2.127).
Factorization parameters were as follows:
name: 40007_154
n: 45218080587979093989708475325381839456130749535604419753028667196019088987174074624391266950271169021962161020597
skew: 31283.77
# norm 1.65e+16
c5: 68040
c4: 13966398846
c3: -414229534697503
c2: 932493901125242698
c1: 180032739590643387395624
c0: 35538889773243182429407920
# alpha -6.92
Y1: 836403879509
Y0: -3668643396033347782541
# Murphy_E 6.56e-10
# M 28071116392022513803667070326716114062434066061004312341816282378150721023164556206800033729572617394388783406386
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1400000, 2380001)
Primes: RFBsize:203362, AFBsize:203919, largePrimes:7534644 encountered
Relations: rels:7339518, finalFF:490981
Max relations in full relation-set: 28
Initial matrix: 407361 x 490981 with sparse part having weight 46092839.
Pruned matrix : 345308 x 347408 with weight 30104251.
Polynomial selection time: 1.07 hours.
Total sieving time: 18.05 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,50,50,2.6,2.6,70000
total time: 19.99 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

141771910714383936723190602488517820827004390019966573920874057536635436839306793283547283634500889<99>

8814970410242325051502600691310445528441<40>
16083084130339877401016180137996623124776743395012266452129<59>

Number: 40007_157
N=141771910714383936723190602488517820827004390019966573920874057536635436839306793283547283634500889
  ( 99 digits)
Divisors found:
 r1=8814970410242325051502600691310445528441 (pp40)
 r2=16083084130339877401016180137996623124776743395012266452129 (pp59)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.05 hours.
Scaled time: 6.54 units (timescale=2.142).
Factorization parameters were as follows:
name: 40007_157
n: 141771910714383936723190602488517820827004390019966573920874057536635436839306793283547283634500889
skew: 4008.53
# norm 3.45e+13
c5: 21960
c4: -71874162
c3: -4406460702773
c2: 2450429555282521
c1: 12809475412520706169
c0: 5116825832921210112837
# alpha -5.07
Y1: 14932061617
Y0: -5780858056141522292
# Murphy_E 4.14e-09
# M 88781377175097529873633494690642072436766223929986758768355796430593531738087159338827855254497350
type: gnfs
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [650000, 1050001)
Primes: RFBsize:100021, AFBsize:99853, largePrimes:3742855 encountered
Relations: rels:3574058, finalFF:242656
Max relations in full relation-set: 28
Initial matrix: 199952 x 242656 with sparse part having weight 17822918.
Pruned matrix : 173035 x 174098 with weight 10123182.
Polynomial selection time: 0.23 hours.
Total sieving time: 2.58 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,26,26,48,48,2.5,2.5,50000
total time: 3.05 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

1590122510953903345542624420568097263521630484531474875782839648114082015795534996005269615326322770371113782601521530538607210893357<133>

40168232933255472863199410867005086259141899511<47>
39586568659768781756154959633375249919813838935426658359620291935490219828230564916987<86>

Number: 40007_158
N=1590122510953903345542624420568097263521630484531474875782839648114082015795534996005269615326322770371113782601521530538607210893357
  ( 133 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=40168232933255472863199410867005086259141899511 (pp47)
 r2=39586568659768781756154959633375249919813838935426658359620291935490219828230564916987 (pp86)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.50 hours.
Scaled time: 52.33 units (timescale=2.136).
Factorization parameters were as follows:
n: 1590122510953903345542624420568097263521630484531474875782839648114082015795534996005269615326322770371113782601521530538607210893357
m: 100000000000000000000000000000000
c5: 1
c0: 175
skew: 2.81
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3400001)
Primes: RFBsize:283146, AFBsize:283052, largePrimes:5731305 encountered
Relations: rels:5871089, finalFF:749665
Max relations in full relation-set: 28
Initial matrix: 566262 x 749665 with sparse part having weight 45967150.
Pruned matrix : 415205 x 418100 with weight 27576167.
Total sieving time: 23.50 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.87 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 24.50 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).

Core 2 Quad Q6600

8990597296336382756677302339005565857986834237692550818864753437180932017431729804854997682116252368112514260762093910047694330157<130>

38552289465776278156018648781010077<35>
233205275767539960164870481835449750381744466297103083038069953484504186782020869825210096921041<96>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 8990597296336382756677302339005565857986834237692550818864753437180932017431729804854997682116252368112514260762093910047694330157 (130 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3980882931
Step 1 took 6692ms
Step 2 took 3797ms
********** Factor found in step 2: 38552289465776278156018648781010077
Found probable prime factor of 35 digits: 38552289465776278156018648781010077
Probable prime cofactor 233205275767539960164870481835449750381744466297103083038069953484504186782020869825210096921041 has 96 digits

Core 2 Quad Q6600

3198327572560266300933521529464782315623756065384046576739646940187037133693125559330938894710532221358415035862741795051858529686745463725087<142>

25817512708582211180172834678179339<35>
123882095407939278236523043249249576804371883991910405477004505369234945547803086828965151030213745119507133<108>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 3198327572560266300933521529464782315623756065384046576739646940187037133693125559330938894710532221358415035862741795051858529686745463725087 (142 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=246460385
Step 1 took 7225ms
Step 2 took 4140ms
********** Factor found in step 2: 25817512708582211180172834678179339
Found probable prime factor of 35 digits: 25817512708582211180172834678179339
Probable prime cofactor 123882095407939278236523043249249576804371883991910405477004505369234945547803086828965151030213745119507133 has 108 digits

Core 2 Quad Q6600

10810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810811<161>

135634950176910695018973466825893607656590609530685636796371<60>
79705199852324998153571878460082630852438535935125517735082254432468091835256979745543882602791947641<101>

Number: n
N=10810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810811
  ( 161 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=135634950176910695018973466825893607656590609530685636796371 (pp60)
 r2=79705199852324998153571878460082630852438535935125517735082254432468091835256979745543882602791947641 (pp101)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.22 hours.
Scaled time: 51.03 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_4_0_160_7
n: 10810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810810811
skew: 0.71
deg: 5
c5: 40
c0: 7
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
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:250150, AFBsize:249831, largePrimes:7163858 encountered
Relations: rels:6733578, finalFF:603451
Max relations in full relation-set: 28
Initial matrix: 500047 x 603451 with sparse part having weight 36708271.
Pruned matrix : 409178 x 411742 with weight 20824560.
Total sieving time: 31.18 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.64 hours.
Total square root time: 0.20 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 35.22 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

4040109530469872295206417141478966201658930005731568037108063258312773845625926951228352920828858552387046131679020631083739483089980760886171559437851<151>

234034230184541159881265925110454036781626436280873469868669<60>
17262900077839710421537401417208645828242546967978794855357928428513665188571039974636777079<92>

Number: n
N=4040109530469872295206417141478966201658930005731568037108063258312773845625926951228352920828858552387046131679020631083739483089980760886171559437851
  ( 151 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=234034230184541159881265925110454036781626436280873469868669 (pp60)
 r2=17262900077839710421537401417208645828242546967978794855357928428513665188571039974636777079 (pp92)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 39.72 hours.
Scaled time: 54.22 units (timescale=1.365).
Factorization parameters were as follows:
name: KA_4_0_161_7
n: 4040109530469872295206417141478966201658930005731568037108063258312773845625926951228352920828858552387046131679020631083739483089980760886171559437851
skew: 0.45
deg: 5
c5: 400
c0: 7
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1800001)
Primes: RFBsize:216816, AFBsize:216976, largePrimes:7127302 encountered
Relations: rels:6610032, finalFF:494318
Max relations in full relation-set: 28
Initial matrix: 433856 x 494318 with sparse part having weight 36516568.
Pruned matrix : 386643 x 388876 with weight 24911065.
Total sieving time: 36.27 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.13 hours.
Total square root time: 0.11 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 39.72 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

803256639111961948349569451134375723264862953628626206118805410285163427541196501369025854991877728369841645329293165617105583432513049506792221<144>

196948146026549213753598998945340356169909690257113074987708892318543<69>
4078518408615435716369982093154238241123860446542160172985649100147392724947<76>

Number: n
N=803256639111961948349569451134375723264862953628626206118805410285163427541196501369025854991877728369841645329293165617105583432513049506792221
  ( 144 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sat Jan 12 07:34:52 2008  prp69 factor: 196948146026549213753598998945340356169909690257113074987708892318543
Sat Jan 12 07:34:52 2008  prp76 factor: 4078518408615435716369982093154238241123860446542160172985649100147392724947
Sat Jan 12 07:34:52 2008  elapsed time 01:31:42 (Msieve 1.32)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 39.02 hours.
Scaled time: 68.52 units (timescale=1.756).
Factorization parameters were as follows:
name: KA_4_0_163_7
n: 803256639111961948349569451134375723264862953628626206118805410285163427541196501369025854991877728369841645329293165617105583432513049506792221
type: snfs
skew: 1.77
deg: 5
c5: 2
c0: 35
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, 1900000)
Primes: RFBsize:230209, AFBsize:229267, largePrimes:7099618 encountered
Relations: rels:6578698, finalFF:504591
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 38.81 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 39.02 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

12623794676704621965362748212067023827563490650371887005640338255443815536512266154311383935241401663051630078521097059654813799889624681162403<143>

434600913422969283935715734532476163912699428553621729133663787<63>
29046866416543146278620690212890391220410722501413452500320961183706650069675369<80>

Number: n
N=12623794676704621965362748212067023827563490650371887005640338255443815536512266154311383935241401663051630078521097059654813799889624681162403
  ( 143 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sun Jul 13 16:29:05 2008  prp63 factor: 434600913422969283935715734532476163912699428553621729133663787
Sun Jul 13 16:29:05 2008  prp80 factor: 29046866416543146278620690212890391220410722501413452500320961183706650069675369
Sun Jul 13 16:29:05 2008  elapsed time 01:05:28 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 47.09 hours.
Scaled time: 86.36 units (timescale=1.834).
Factorization parameters were as follows:
name: KA_4_0_167_7
n: 12623794676704621965362748212067023827563490650371887005640338255443815536512266154311383935241401663051630078521097059654813799889624681162403
skew: 0.56
deg: 5
c5: 125
c0: 7
m: 2000000000000000000000000000000000
type: snfs
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2900000)
Primes: RFBsize:380800, AFBsize:380502, largePrimes:7959970 encountered
Relations: rels:7657643, finalFF:861422
Max relations in full relation-set: 28
Initial matrix: 761367 x 861422 with sparse part having weight 40728051.
Pruned matrix : 
Total sieving time: 46.84 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,48,48,2.5,2.5,100000
total time: 47.09 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

225061613892819300304785905266740211732831812868396480313631702593877904934930918137401620751717308464609538424488999385361130786232218389221857813<147>

22070578087533539660066827927884256765089556891<47>
10197359262644066179879009668764560198414918046657958570180948390548824665266349600950111435706326543<101>

Number: n
N=225061613892819300304785905266740211732831812868396480313631702593877904934930918137401620751717308464609538424488999385361130786232218389221857813
  ( 147 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=22070578087533539660066827927884256765089556891 (pp47)
 r2=10197359262644066179879009668764560198414918046657958570180948390548824665266349600950111435706326543 (pp101)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 37.67 hours.
Scaled time: 98.95 units (timescale=2.627).
Factorization parameters were as follows:
name: KA_4_0_169_7
n: 225061613892819300304785905266740211732831812868396480313631702593877904934930918137401620751717308464609538424488999385361130786232218389221857813
m: 10000000000000000000000000000000000
deg: 5
c5: 4
c0: 7
skew: 1.12
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [2450000, 4250001)
Primes: RFBsize:341992, AFBsize:341158, largePrimes:16380774 encountered
Relations: rels:16086164, finalFF:804371
Max relations in full relation-set: 28
Initial matrix: 683214 x 804371 with sparse part having weight 83408290.
Pruned matrix : 597975 x 601455 with weight 63746608.
Total sieving time: 33.20 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 3.16 hours.
Total square root time: 0.82 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,28,28,56,56,2.4,2.4,100000
total time: 37.67 hours.
 --------- CPU info (if available) ----------

1199291985255225192754578703725735635034737485447419639459131108568918655877742516064449398215741509247520027186101646141132386513584233490174761<145>

410037667471288976241689296388276289281<39>
51426660780166300926755648189998830408613787<44>
56873879204227560921875844575762314754395742118690775665543563<62>

Number: 40007_171
N=1199291985255225192754578703725735635034737485447419639459131108568918655877742516064449398215741509247520027186101646141132386513584233490174761
  ( 145 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=410037667471288976241689296388276289281 (pp39)
 r2=51426660780166300926755648189998830408613787 (pp44)
 r3=56873879204227560921875844575762314754395742118690775665543563 (pp62)
Version: Msieve-1.40
Total time: 57.66 hours.
Scaled time: 121.14 units (timescale=2.101).
Factorization parameters were as follows:
name: 40007_171
n: 1199291985255225192754578703725735635034737485447419639459131108568918655877742516064449398215741509247520027186101646141132386513584233490174761
m: 10000000000000000000000000000000000
deg: 5
c5: 40
c0: 7
skew: 0.71
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 4750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 852452 x 852700
Total sieving time: 55.44 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.76 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 57.66 hours.
 --------- CPU info (if available) ----------

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

72914432573039764485645880875045651008927003853729473970414449958165524809692232914487279677657403075526865507092416340315342944171122673885391<143>

100305578557150326645901431665213886002442319<45>
726923004900429115307541442670226086141573640361924923419646985297364567603919585356657165361801089<99>

SNFS difficulty: 172 digits.
Divisors found:
 r1=100305578557150326645901431665213886002442319 (pp45)
 r2=726923004900429115307541442670226086141573640361924923419646985297364567603919585356657165361801089 (pp99)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.538).
Factorization parameters were as follows:
n: 72914432573039764485645880875045651008927003853729473970414449958165524809692232914487279677657403075526865507092416340315342944171122673885391
m: 20000000000000000000000000000000000
deg: 5
c5: 25
c0: 14
skew: 0.89
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved rational special-q in [2650000, 4950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 965179 x 965421
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,53,53,2.5,2.5,100000
total time: 37.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

1253524560661331280230025695397313591564814112191226797483239336720470519760464369879894033179678585353101136612796379296031321969935429744959065667393<151>

76982944784946368920484345557544894861183<41>
16283146405519833518143913288935446051211681948850296589711890188256730869928049433790754073851412297997719871<110>

Number: 40007_174
N=1253524560661331280230025695397313591564814112191226797483239336720470519760464369879894033179678585353101136612796379296031321969935429744959065667393
  ( 151 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=76982944784946368920484345557544894861183
 r2=16283146405519833518143913288935446051211681948850296589711890188256730869928049433790754073851412297997719871
Version: 
Total time: 85.33 hours.
Scaled time: 171.94 units (timescale=2.015).
Factorization parameters were as follows:
n: 1253524560661331280230025695397313591564814112191226797483239336720470519760464369879894033179678585353101136612796379296031321969935429744959065667393
m: 20000000000000000000000000000000000
deg: 5
c5: 1250
c0: 7
skew: 0.35
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 5050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 979750 x 979998
Total sieving time: 85.33 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,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 85.33 hours.
 --------- CPU info (if available) ----------

982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982800982801<174>

7135210354090040619550238567081980993<37>

137739594774192223139709541988016487305378968971069153072936288397790444184230544651923302551708474913403317389091953092751175896905333457<138>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 

98280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098280098

2800982800982800982801 (174 digits)

Using B1=6700417, B2=14271659230, polynomial Dickson(12), sigma=1265699576

Step 1 took 187692ms

Step 2 took 36199ms

********** Factor found in step 2: 7135210354090040619550238567081980993

Found probable prime factor of 37 digits: 7135210354090040619550238567081980993

Composite cofactor 

137739594774192223139709541988016487305378968971069153072936288397790444184230544651923302551708474913403317389091953092751175896905333457 has 138 

digits

137739594774192223139709541988016487305378968971069153072936288397790444184230544651923302551708474913403317389091953092751175896905333457<138>

86406086830766213721042664242352923897087065103767310682979<59>
1594095969696754347682904756547583137063074286784180958958904570542532322797883<79>

N = 137739594774192223139709541988016487305378968971069153072936288397790444184230544651923302551708474913403317389091953092751175896905333457 (138 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=86406086830766213721042664242352923897087065103767310682979 (pp59)
r2=1594095969696754347682904756547583137063074286784180958958904570542532322797883 (pp79)
Version: Msieve v. 1.48
Total time: 26.73 hours.
Factorization parameters were as follows:
name: 4*10^176+7
n: 137739594774192223139709541988016487305378968971069153072936288397790444184230544651923302551708474913403317389091953092751175896905333457
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 7
c1: 0
c2: 0
c3: 0
c4: 0
c5: 40
skew: 0.71
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19387583
Relations: 2461318 relations
Pruned matrix : 1354750 x 1354978
Polynomial selection time: 0.00 hours.
Total sieving time: 24.20 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.37 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 26.73 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

3622860119900081675144939418188208681175682968519562762569963159265022505636801426201586907652900083941<103>

2168624917890105707938720036681408679<37>
1670579402649688089552461215114367735067686171584466742428310437779<67>

Number: 40007_177
N=3622860119900081675144939418188208681175682968519562762569963159265022505636801426201586907652900083941
  ( 103 digits)
Divisors found:
 r1=2168624917890105707938720036681408679 (pp37)
 r2=1670579402649688089552461215114367735067686171584466742428310437779 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.70 hours.
Scaled time: 12.10 units (timescale=2.122).
Factorization parameters were as follows:
name: 40007_177
n: 3622860119900081675144939418188208681175682968519562762569963159265022505636801426201586907652900083941
skew: 5201.92
# norm 2.88e+14
c5: 538560
c4: 53023360
c3: -50292647881684
c2: -6925540917256562
c1: 749244940025056718037
c0: -1154576317830065586983730
# alpha -6.47
Y1: 58997159591
Y0: -23204032905420498401
# Murphy_E 2.42e-09
# M 1370455034032052557571471097180820566906316879206462490274763309076187559978205487356334531363056920027
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, 1620001)
Primes: RFBsize:135072, AFBsize:135194, largePrimes:4450489 encountered
Relations: rels:4488383, finalFF:403745
Max relations in full relation-set: 28
Initial matrix: 270349 x 403745 with sparse part having weight 33923516.
Pruned matrix : 193755 x 195170 with weight 15534745.
Polynomial selection time: 0.35 hours.
Total sieving time: 5.06 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.14 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: 5.70 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.37 BogoMIPS (lpj=2407686)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.11 BogoMIPS).

Core 2 Quad Q6600

1202669284285099186401315370094948291673818003955856973023257116448103151001600737001206766822582016522733090012680625997367422747646267<136>

1563362006220667088154890552346111754498073<43>
769283940315576237259252254305122932469351279083047996175021132544870432641839950287392894579<93>

Number: n
N=1202669284285099186401315370094948291673818003955856973023257116448103151001600737001206766822582016522733090012680625997367422747646267
  ( 136 digits)
Divisors found:

Tue May 29 18:54:44 2012  prp43 factor: 1563362006220667088154890552346111754498073
Tue May 29 18:54:44 2012  prp93 factor: 769283940315576237259252254305122932469351279083047996175021132544870432641839950287392894579
Tue May 29 18:54:44 2012  elapsed time 04:30:01 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.295).
Factorization parameters were as follows:
name: KA_40007_178
n: 1202669284285099186401315370094948291673818003955856973023257116448103151001600737001206766822582016522733090012680625997367422747646267
skew: 116437.75
# norm 1.15e+19
c5: 110880
c4: -960008103426
c3: -19567906526221064
c2: -9329849655678257779718
c1: 98968560992440843585146529
c0: 3901946446121018983082262126519
# alpha -6.41
Y1: 1581252528694733
Y0: -101641320977669167329539200
# Murphy_E 3.36e-11
# M 17285127041152477706327755130350308140182766970554787197507029607820085286615036959306218172359406605849313112657116792441924127274037
type: gnfs
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 14040000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2688268 hash collisions in 25264657 relations (23334532 unique)
Msieve: matrix is 1543312 x 1543538 (448.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,15000000,15000000,28,28,55,55,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         950  @ 3.07GHz stepping 05
Memory: 6059556k/6815744k available (3972k kernel code, 525892k absent, 230296k reserved, 2498k data, 1292k init)
VBoxDrv: dbg - g_abExecMemory=ffffffffa01e8440
Calibrating delay loop (skipped), value calculated using timer frequency.. 6206.01 BogoMIPS (lpj=3103008)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102996)
Calibrating delay using timer specific routine.. 6205.98 BogoMIPS (lpj=3102991)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102995)
Calibrating delay using timer specific routine.. 6205.98 BogoMIPS (lpj=3102994)
Calibrating delay using timer specific routine.. 6205.98 BogoMIPS (lpj=3102994)
Calibrating delay using timer specific routine.. 6206.00 BogoMIPS (lpj=3103002)
Calibrating delay using timer specific routine.. 6205.99 BogoMIPS (lpj=3102996)
Total of 8 processors activated (49647.95 BogoMIPS).

3462414877997995367746778414036825019585800042496066102169580153296211560858747211182421457625668826164835800136218835966761586319693554519949740409<148>

50908443942493453887015118513597866765285027457390712482503402327903932359<74>
68012585140279758528459181985230163401345685666640474962991190006186613951<74>

N=3462414877997995367746778414036825019585800042496066102169580153296211560858747211182421457625668826164835800136218835966761586319693554519949740409
  ( 148 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=50908443942493453887015118513597866765285027457390712482503402327903932359 (pp74)
 r2=68012585140279758528459181985230163401345685666640474962991190006186613951 (pp74)
Version: Msieve-1.40
Total time: 103.18 hours.
Scaled time: 201.91 units (timescale=1.957).
Factorization parameters were as follows:
n: 3462414877997995367746778414036825019585800042496066102169580153296211560858747211182421457625668826164835800136218835966761586319693554519949740409
m: 1000000000000000000000000000000000000
deg: 5
c5: 2
c0: 35
skew: 1.77
# Murphy_E = 1.572e-10
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3550000, 5150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1070877 x 1071102
Total sieving time: 101.76 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.17 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 103.18 hours.
 --------- CPU info (if available) ----------

2632538036644391087882571060728539767524412685796006901617199369400160580098436206259553874569545309584747862172347276675936181654797049<136>

2330176577666875374606105976962270839<37>
47627606812357868080621344383726803782953<41>
23720676061967159486831460421686709294636997657176676784247<59>

#ECM, then gnfs/Msieve
#
Using B1=2000000, B2=8559543730, polynomial Dickson(6), sigma=55071172
Step 1 took 10844ms
Step 2 took 7141ms
********** Factor found in step 2: 2330176577666875374606105976962270839
Found probable prime factor of 37 digits: 2330176577666875374606105976962270839
Composite cofactor 1129759032802681292108641345913746599729470090263548664373455174466738092066408583230872690597541391 has 100 digits

Number: 40007_182
N=1129759032802681292108641345913746599729470090263548664373455174466738092066408583230872690597541391
  ( 100 digits)
Divisors found:
 r1=47627606812357868080621344383726803782953
 r2=23720676061967159486831460421686709294636997657176676784247
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
name: 40007_182
n: 1129759032802681292108641345913746599729470090263548664373455174466738092066408583230872690597541391
skew: 5286.20
# norm 4.88e+13
c5: 58800
c4: -906758215
c3: -6836595460751
c2: 23281841126672733
c1: 66931458270165345836
c0: -88859584402032996519968
# alpha -5.55
Y1: 15480297767
Y0: -7189928693554233609
# Murphy_E 3.55e-09
# M 947782540688762278453606516086462947233300208592534816796037426704101353095513118854962769689206778
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 180923 x 181171
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:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.3 hours.

GMP-ECM 6.2.1+pol51+Msieve 1.36

Opteron-2.2GHz; Linux x86_64

1601884872247857541929364463054070741377582346397858650448855896531225418310224802752039645714551698780134263721690562350826500942648593168613713388597206843067491990813889<172>

4038202389358957263240913752263127880894201201820861105035375813467577<70>
396682661688521283105637723961070218244715551697892154840685638111923776709128236756171755229780106057<102>

Number: n
N=1601884872247857541929364463054070741377582346397858650448855896531225418310224802752039645714551698780134263721690562350826500942648593168613713388597206843067491990813889
  ( 172 digits)
SNFS difficulty: 184 digits.
Divisors found:

Tue Feb 28 17:40:47 2012  prp70 factor: 4038202389358957263240913752263127880894201201820861105035375813467577
Tue Feb 28 17:40:47 2012  prp102 factor: 396682661688521283105637723961070218244715551697892154840685638111923776709128236756171755229780106057
Tue Feb 28 17:40:47 2012  elapsed time 01:56:28 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_40007_184
n: 1601884872247857541929364463054070741377582346397858650448855896531225418310224802752039645714551698780134263721690562350826500942648593168613713388597206843067491990813889
m: 2000000000000000000000000000000000000
#  c172, diff: 184.6
skew: 0.35
deg: 5
c5: 1250
c0: 7
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5443668 hash collisions in 74386426 relations (71648808 unique)
Msieve: matrix is 962029 x 962277 (269.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

1692798530655153039668862721170821641348422631632051347799737269598742160572646433341229099254655125172317824517000297100962149848948168570575096433<148>

14038470155619240766222618912594529<35>
120582835016219274964161752375016768028631861368533092320829475404326979424480003910475628535256587019987262671377<114>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2575416615
Step 1 took 48621ms
Step 2 took 20772ms
********** Factor found in step 2: 14038470155619240766222618912594529
Found probable prime factor of 35 digits: 14038470155619240766222618912594529
Probable prime cofactor 120582835016219274964161752375016768028631861368533092320829475404326979424480003910475628535256587019987262671377 has 114 digits

17559916383216502983393031900448239143457951770613533572095560721644049769781888887818902733641044520141191139969311929620026981478625487631415257526412307071614144607<167>

688590332230738485620370006435189093461031505528861888524463689810963977188483<78>
25501253156328634670229558189358974347407586032777004325563164831960617947093393905354229<89>

N=17559916383216502983393031900448239143457951770613533572095560721644049769781888887818902733641044520141191139969311929620026981478625487631415257526412307071614144607
  ( 167 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=688590332230738485620370006435189093461031505528861888524463689810963977188483 (pp78)
 r2=25501253156328634670229558189358974347407586032777004325563164831960617947093393905354229 (pp89)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 152.99 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 17559916383216502983393031900448239143457951770613533572095560721644049769781888887818902733641044520141191139969311929620026981478625487631415257526412307071614144607
m: 10000000000000000000000000000000000000
deg: 5
c5: 400
c0: 7
skew: 0.45
# Murphy_E = 6.812e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4700000, 11660001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1902351 x 1902578
Total sieving time: 148.92 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.60 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 152.99 hours.
 --------- CPU info (if available) ----------

1123874014609429824236567613843684082091542950341300616058217918866484619157645274086664251736828389608087706521971124081256789273727549486221145265638173<154>

243199590896994738362770572662158973938218516947373908668520401926648208873<75>
4621200267912612430795333791515436481001624072764157228446067146299921603854101<79>

Polynomial : X^5 + 175 ; m = 10^38
rlim = alim = 26000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.5
skew = 4.3
qIntSize = 100000

Initial matrix : 3246904 x 4651970
Pruned matrice : 1826464 x 1842762

time : 20 days 17 hours or so

p75 = 243199590896994738362770572662158973938218516947373908668520401926648208873
p79 = 4621200267912612430795333791515436481001624072764157228446067146299921603854101

GGNFS-0.77.1

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

158241590261290641462898297613779972867217868813765931658183723391123131104584724918341966851238155716034170786130229666993153953870783778726149345265625298408498634461<168>

510911950705809060308785244330301179<36>

309723798871184708101582315294993479413640350701372517368093767488720267068473582193625670469760063452770298571825634104951290993159<132>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1937866668
Step 1 took 59760ms
Step 2 took 23731ms
********** Factor found in step 2: 510911950705809060308785244330301179
Found probable prime factor of 36 digits: 510911950705809060308785244330301179
Composite cofactor 309723798871184708101582315294993479413640350701372517368093767488720267068473582193625670469760063452770298571825634104951290993159 has 132 digits

309723798871184708101582315294993479413640350701372517368093767488720267068473582193625670469760063452770298571825634104951290993159<132>

2473421093870358016194945591927342186877<40>
125220812436161176621503688920180892705596314382512360883490984977999696574944794407138861267<93>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=85038718
Step 1 took 126896ms
Step 2 took 96540ms
********** Factor found in step 2: 2473421093870358016194945591927342186877
Found probable prime factor of 40 digits: 2473421093870358016194945591927342186877
Probable prime cofactor 125220812436161176621503688920180892705596314382512360883490984977999696574944794407138861267 has 93 digits

36772988818547455108124111168505856091807688738273109715320356222025361295418506493438548041780529643458294038227899850094127194760761182324630025435299851499321<161>

42982176208897854212613052745565664694109555384734452875598244699239063947217<77>
855540413771208290598121257435848927795172807576067345840996782285282341092066081513<84>

nfs: found 13686105 relations, need at least 13612553, proceeding with filtering ...
Elapsed time is now 16907.4874 seconds.
nfs: commencing msieve filtering
36772988818547455108124111168505856091807688738273109715320356222025361295418506493438548041780529643458294038227899850094127194760761182324630025435299851499321

commencing relation filtering
estimated available RAM is 16315.6 MB
commencing duplicate removal, pass 1
read 10M relations
found 1615872 hash collisions in 13687040 relations
added 193 free relations
commencing duplicate removal, pass 2
found 1207923 duplicates and 12479310 unique relations
memory use: 49.3 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 344.5 MB
reading all ideals from disk
memory use: 406.6 MB
commencing in-memory singleton removal
begin with 12479310 relations and 12912576 unique ideals
reduce to 7006789 relations and 6666279 ideals in 16 passes
max relations containing the same ideal: 105
removing 789088 relations and 685983 ideals in 103105 cliques
commencing in-memory singleton removal
begin with 6217701 relations and 6666279 unique ideals
reduce to 6139305 relations and 5900314 ideals in 8 passes
max relations containing the same ideal: 95
removing 595859 relations and 492754 ideals in 103105 cliques
commencing in-memory singleton removal
begin with 5543446 relations and 5900314 unique ideals
reduce to 5494007 relations and 5357220 ideals in 7 passes
max relations containing the same ideal: 90
relations with 0 large ideals: 2837
relations with 1 large ideals: 588
relations with 2 large ideals: 11074
relations with 3 large ideals: 87577
relations with 4 large ideals: 374489
relations with 5 large ideals: 944859
relations with 6 large ideals: 1531752
relations with 7+ large ideals: 2540831
commencing 2-way merge
reduce to 3488872 relation sets and 3352085 unique ideals
commencing full merge
memory use: 424.7 MB
found 1619843 cycles, need 1608285
weight of 1608285 cycles is about 145007544 (90.16/cycle)
distribution of cycle lengths:
1 relations: 163770
2 relations: 156015
3 relations: 153828
4 relations: 144179
5 relations: 133812
6 relations: 119307
7 relations: 107193
8 relations: 95198
9 relations: 83305
10+ relations: 451678
heaviest cycle: 28 relations
commencing cycle optimization
start with 11544458 relations
pruned 407864 relations
memory use: 340.4 MB
distribution of cycle lengths:
1 relations: 163770
2 relations: 160276
3 relations: 160595
4 relations: 149102
5 relations: 138593
6 relations: 122836
7 relations: 109632
8 relations: 96471
9 relations: 83825
10+ relations: 423185
heaviest cycle: 28 relations
RelProcTime: 280
Elapsed time is now 17187.3227 seconds.
nfs: commencing msieve linear algebra

commencing linear algebra
read 1608285 cycles
cycles contain 5363915 unique relations
read 5363915 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 663.7 MB
read 1608285 cycles
matrix is 1608108 x 1608285 (590.1 MB) with weight 173423231 (107.83/col)
sparse part has weight 137005363 (85.19/col)
filtering completed in 2 passes
matrix is 1607505 x 1607682 (590.1 MB) with weight 173398886 (107.86/col)
sparse part has weight 136995686 (85.21/col)
matrix starts at (0, 0)
matrix is 1607505 x 1607682 (590.1 MB) with weight 173398886 (107.86/col)
sparse part has weight 136995686 (85.21/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 1607457 x 1607682 (562.7 MB) with weight 142880668 (88.87/col)
sparse part has weight 131435583 (81.75/col)
using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
commencing Lanczos iteration (6 threads)
memory use: 533.9 MB
linear algebra at 0.1%, ETA 1h10m1607682 dimensions (0.1%, ETA 1h10m)
checkpointing every 1460000 dimensions82 dimensions (0.1%, ETA 1h 6m)
linear algebra completed 1607354 of 1607682 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 25419 iterations (dim = 1607457)
recovered 37 nontrivial dependencies
BLanczosTime: 4028
Elapsed time is now 21215.4329 seconds.
nfs: commencing msieve sqrt

commencing square root phase
reading relations for dependency 1
read 804237 cycles
cycles contain 2682986 unique relations
read 2682986 relations
multiplying 2682986 relations
multiply complete, coefficients have about 80.56 million bits
initial square root is modulo 606581
GCD is 1, no factor found
reading relations for dependency 2
read 803718 cycles
cycles contain 2681650 unique relations
read 2681650 relations
multiplying 2681650 relations
multiply complete, coefficients have about 80.52 million bits
initial square root is modulo 602551
sqrtTime: 260
NFS elapsed time = 21475.7509 seconds.


***factors found***

C34 = 1087754933311945375670855365685567
P77 = 42982176208897854212613052745565664694109555384734452875598244699239063947217
P84 = 855540413771208290598121257435848927795172807576067345840996782285282341092066081513

ans = 1

YAFU, built from source code.

3405507676482560097206811117518195414671216538439369916375204873213374893013847901002572946187274486217442175969562934590669470875204404956069376661834535066044287435404968925168140556199433<190>

239682331904859805861970201199983371009733444205017707<54>
14208421828248700902749113805654452031722484299404367220663206740298549292027313504104977551440016026904929687743143349558675496264509019<137>

N=3405507676482560097206811117518195414671216538439369916375204873213374893013847901002572946187274486217442175969562934590669470875204404956069376661834535066044287435404968925168140556199433
  ( 190 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=239682331904859805861970201199983371009733444205017707 (pp54)
 r2=14208421828248700902749113805654452031722484299404367220663206740298549292027313504104977551440016026904929687743143349558675496264509019 (pp137)
Version: Msieve v. 1.42
Total time: 814.38 hours.
Scaled time: 2140.18 units (timescale=2.628).
Factorization parameters were as follows:
n: 3405507676482560097206811117518195414671216538439369916375204873213374893013847901002572946187274486217442175969562934590669470875204404956069376661834535066044287435404968925168140556199433
m: 2000000000000000000000000000000000000000
deg: 5
c5: 5
c0: 28
skew: 1.41
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6750000, 12350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2472594 x 2472824
Total sieving time: 803.27 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 10.47 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,197.000,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,55,55,2.5,2.5,100000
total time: 814.38 hours.

8331301256832907309157708500822099215961394744994684193364126409085955631213297568779219155903110142294652586003443136961815829046123663126752993517701723128283492081000802999713<178>

957255370506376043812831735013882863912515145353433<51>
8703321510148074483842076828618443160951671699746048224998837265416914548876688551487132932108015867703922709412893449159409161<127>

8331301256832907309157708500822099215961394744994684193364126409085955631213297568779219155903110142294652586003443136961815829046123663126752993517701723128283492081000802999713=957255370506376043812831735013882863912515145353433*8703321510148074483842076828618443160951671699746048224998837265416914548876688551487132932108015867703922709412893449159409161

cado polynomial
n: 8331301256832907309157708500822099215961394744994684193364126409085955631213297568779219155903110142294652586003443136961815829046123663126752993517701723128283492081000802999713
skew: 0.45
type: snfs
c0: 7
c5: 400
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 400*x^5+7
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13800000
tasks.lim1 = 13800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 957255370506376043812831735013882863912515145353433 8703321510148074483842076828618443160951671699746048224998837265416914548876688551487132932108015867703922709412893449159409161
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.02/2.34539
Info:Generate Free Relations: Total cpu/real time for freerel: 99.21/25.4304
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28311235
Info:Lattice Sieving: Average J: 1893.7 for 2832117 special-q, max bucket fill -bkmult 1.0,1s:1.113930
Info:Lattice Sieving: Total time: 867170s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.73/146.096
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 145.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 475.73/470.986
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 410.90000000000003s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 407.25/442.957
Info:Filtering - Merging: Merged matrix has 2453845 rows and total weight 419163611 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 354.26/101.733
Info:Filtering - Merging: Total cpu/real time for replay: 93.71/82.104
Info:Linear Algebra: Total cpu/real time for bwc: 104588/26744.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 17044.4, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (76800 iterations)
Info:Linear Algebra: Lingen CPU time 500.12, WCT time 144.82
Info:Linear Algebra: Mksol: WCT time 9312.05, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38400 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 84.75/35.0287
Info:Square Root: Total cpu/real time for sqrt: 1821.43/549.726
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.71746e+06/76650.4
Info:root: Cleaning up computation data in /tmp/cado.8uoz3uj0
957255370506376043812831735013882863912515145353433 8703321510148074483842076828618443160951671699746048224998837265416914548876688551487132932108015867703922709412893449159409161

cado-nfs-3.0.0

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

3120130385171184912799198326020246600170409090267934947127747564622203526474452817726170719298760804796691535391906369965963888868583353217178446091<148>

17540491274518456774449277936649736728405430949299745050719467176538639<71>
177881584748078419193812582306718400578802945373310973787426634759900895520069<78>

3120130385171184912799198326020246600170409090267934947127747564622203526474452817726170719298760804796691535391906369965963888868583353217178446091=17540491274518456774449277936649736728405430949299745050719467176538639 177881584748078419193812582306718400578802945373310973787426634759900895520069

cado polynomial
n: 3120130385171184912799198326020246600170409090267934947127747564622203526474452817726170719298760804796691535391906369965963888868583353217178446091
skew: 1.77
type: snfs
c0: 35
c5: 2
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 2*x^5+35
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15300000
tasks.lim1 = 15300000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 17540491274518456774449277936649736728405430949299745050719467176538639 177881584748078419193812582306718400578802945373310973787426634759900895520069
Info:Square Root: Total cpu/real time for sqrt: 744.64/237.454
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 182.22/215.896
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 215.70000000000002s
Info:Linear Algebra: Total cpu/real time for bwc: 142609/36489.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 91188.41, WCT time 23255.34, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (88576 iterations)
Info:Linear Algebra: Lingen CPU time 614.07, WCT time 155.84
Info:Linear Algebra: Mksol: CPU time 49750.19,  WCT time 12698.92, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44544 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.47/3.01847
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43705242
Info:Lattice Sieving: Average J: 1893.96 for 2540856 special-q, max bucket fill -bkmult 1.0,1s:1.135360
Info:Lattice Sieving: Total time: 684296s
Info:Square Root: Total cpu/real time for sqrt: 744.64/237.454
Info:Filtering - Merging: Merged matrix has 2832365 rows and total weight 484316512 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 822.07/226.798
Info:Filtering - Merging: Total cpu/real time for replay: 115.07/100.037
Info:Filtering - Singleton removal: Total cpu/real time for purge: 247.76/292.597
Info:Quadratic Characters: Total cpu/real time for characters: 104.97/44.7585
Info:Generate Free Relations: Total cpu/real time for freerel: 232.94/61.278
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 525.4/467.982
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 417.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.43414e+06/127209
17540491274518456774449277936649736728405430949299745050719467176538639 177881584748078419193812582306718400578802945373310973787426634759900895520069

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)

12149377573385122056574232610071460610855950465269956343856882780433448036952149168175437914747399741923901170515075147862469359004400899199<140>

744937326890658098750633812878347827267331909<45>
16309261376519004401367144323776493633648587766960444190910507407496460267050598624335377069811<95>

Number: 40007_200
N=12149377573385122056574232610071460610855950465269956343856882780433448036952149168175437914747399741923901170515075147862469359004400899199
  ( 140 digits)
Divisors found:
 r1=744937326890658098750633812878347827267331909
 r2=16309261376519004401367144323776493633648587766960444190910507407496460267050598624335377069811
Version: 
Total time: 897.57 hours.
Scaled time: 2311.24 units (timescale=2.575).
Factorization parameters were as follows:
name: 40007_200
n: 12149377573385122056574232610071460610855950465269956343856882780433448036952149168175437914747399741923901170515075147862469359004400899199
skew: 223679.33
# norm 4.09e+019
c5: 2156280
c4: -61228026700
c3: -702373789849651771
c2: -6571146189541794526408
c1: 3301605854013914710688065716
c0: 152604628744953457221152044405968
# alpha -6.36
Y1: 5913557570755153
Y0: -354952153975377700897678475
# Murphy_E 2.08e-011
# M 3547188172572132846724638033940689355703420623635097032285416273587374461874203363023125145717872143374372253454257726653217575781190678802
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [2700000, 18780001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1492185 x 1492433
Total sieving time: 897.57 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,139,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 897.57 hours.
 --------- CPU info (if available) ----------

GGNFS + msieve

core 2 quad Q6600 2.4 ghz, 4 gb RAM, windows vista

4024425629416166856637861322296640306153677436865968742695778608651559832318277879711870523254498093767760234562475004394613023542574945082582505347790721158720980853002003919<175>

783081006532290663634769231148638526524708609627028601047660877964888998668304523059<84>
5139220075375711503531213341720863280177968981031273051880828408938651546978945341027831541<91>

Number: n
N=4024425629416166856637861322296640306153677436865968742695778608651559832318277879711870523254498093767760234562475004394613023542574945082582505347790721158720980853002003919  ( 175 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Dec 14 04:00:13 2021  p84 factor: 783081006532290663634769231148638526524708609627028601047660877964888998668304523059
Tue Dec 14 04:00:13 2021  p91 factor: 5139220075375711503531213341720863280177968981031273051880828408938651546978945341027831541
Tue Dec 14 04:00:13 2021  elapsed time 01:23:26 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 4x10^201+7 = 40(200)7
#
n: 4024425629416166856637861322296640306153677436865968742695778608651559832318277879711870523254498093767760234562475004394613023542574945082582505347790721158720980853002003919
m: 10000000000000000000000000000000000000000
deg: 5
c5: 40
c0: 7
skew: 0.71
# Murphy_E = 1.914e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8607540 hash collisions in 67139998 relations (61685478 unique)
Msieve: matrix is 1777323 x 1777552 (609.0 MB)

Sieving start time : 2021/12/13 13:38:25
Sieving end time  : 2021/12/14 02:35:16

Total sieving time: 12hrs 56min 51secs.

Total relation processing time: 1hrs 2min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 55sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

1756810286053952434449345603540534905690251420194455181727310806135677492146289416838684013821353563472259987543336666734450263536914998095837251203272305111215533962502729094978741936734889905311<196>

667483556982998291724745572340957<33>

2631990357926825704109591989700457485982690486980541663068287960866830986737653056453435830249760864785372089333960850315705084012387899337174340799478682311786923<163>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=314212603
Step 1 took 10655ms
********** Factor found in step 1: 667483556982998291724745572340957
Found probable prime factor of 33 digits: 667483556982998291724745572340957
Composite cofactor 2631990357926825704109591989700457485982690486980541663068287960866830986737653056453435830249760864785372089333960850315705084012387899337174340799478682311786923 has 163 digits

GMP-ECM 6.3

2631990357926825704109591989700457485982690486980541663068287960866830986737653056453435830249760864785372089333960850315705084012387899337174340799478682311786923<163>

4699085191833138599128054638730807896791976479<46>
560106967735154425219881682587733600240041650805738476548377267988055836449242306449953500512741794213514609263406837<117>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3519121475
Step 1 took 26266ms
Step 2 took 11937ms
********** Factor found in step 2: 4699085191833138599128054638730807896791976479
Found prime factor of 46 digits: 4699085191833138599128054638730807896791976479
Prime cofactor 560106967735154425219881682587733600240041650805738476548377267988055836449242306449953500512741794213514609263406837 has 117 digits
 

GMP-ECM

107527783884317960604265704230348046610989993443194988053433369814221847225288642065539652569380737350051997976588399811974874071987812046129508534433029083137288655353823184993394308825207726763<195>

5996167001132704539920579886999802792923306055481581391251931286300827865331131377<82>
17932753351266809191606870856876316026759233567121188886778936345020455708953231480011412327642748890630866377819<113>

Number: n
N=107527783884317960604265704230348046610989993443194988053433369814221847225288642065539652569380737350051997976588399811974874071987812046129508534433029083137288655353823184993394308825207726763
  ( 195 digits)
SNFS difficulty: 203 digits.
Divisors found:

Tue May  4 08:15:09 2021  p82 factor: 5996167001132704539920579886999802792923306055481581391251931286300827865331131377
Tue May  4 08:15:09 2021  p113 factor: 17932753351266809191606870856876316026759233567121188886778936345020455708953231480011412327642748890630866377819
Tue May  4 08:15:09 2021  elapsed time 01:38:18 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 4x10^203+7 = 40(202)7
#
n: 107527783884317960604265704230348046610989993443194988053433369814221847225288642065539652569380737350051997976588399811974874071987812046129508534433029083137288655353823184993394308825207726763
m: 20000000000000000000000000000000000000000
deg: 5
c5: 125
c0: 7
skew: 0.56
# Murphy_E = 1.434e-11
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8838367 hash collisions in 69758274 relations (62632864 unique)
Msieve: matrix is 1920712 x 1920944 (657.8 MB)

Sieving start time : 2021/05/03 19:57:48
Sieving end time  : 2021/05/04 06:35:35

Total sieving time: 10hrs 37min 47secs.

Total relation processing time: 1hrs 12min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 48sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17300000,17300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

43993702446753110037285134600979889869146031135699421085692795917583785748952263685558247621565509335975932205320805306316430442572429475575776397635301440534628129039122671422832018977718677<191>

8020011658658341060484790559369<31>

5485491083950963755543831884431324707217897674618846721423912237607045084565923162312121953582387064379509874121477250244168926132424870388413525491057880175533<160>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3309664432
Step 1 took 10453ms
Step 2 took 5834ms
********** Factor found in step 2: 8020011658658341060484790559369
Found probable prime factor of 31 digits: 8020011658658341060484790559369
Composite cofactor 5485491083950963755543831884431324707217897674618846721423912237607045084565923162312121953582387064379509874121477250244168926132424870388413525491057880175533 has 160 digits

GMP-ECM 6.3

5485491083950963755543831884431324707217897674618846721423912237607045084565923162312121953582387064379509874121477250244168926132424870388413525491057880175533<160>

53599930616245369222959826066772234242152180776180824930189<59>
102341384044411247520414543125120847330161558370178320345621869627539942800108922914121887036261364897<102>

Wed Aug 31 11:19:13 2022  Msieve v. 1.53 (SVN unknown)
Wed Aug 31 11:19:13 2022  random seeds: a9ab7aa4 71955dfa
Wed Aug 31 11:19:13 2022  factoring 5485491083950963755543831884431324707217897674618846721423912237607045084565923162312121953582387064379509874121477250244168926132424870388413525491057880175533 (160 digits)
Wed Aug 31 11:19:13 2022  searching for 15-digit factors
Wed Aug 31 11:19:14 2022  commencing number field sieve (160-digit input)
Wed Aug 31 11:19:14 2022  R0: -100000000000000000000000000000000000000000
Wed Aug 31 11:19:14 2022  R1: 1
Wed Aug 31 11:19:14 2022  A0: 35
Wed Aug 31 11:19:14 2022  A1: 0
Wed Aug 31 11:19:14 2022  A2: 0
Wed Aug 31 11:19:14 2022  A3: 0
Wed Aug 31 11:19:14 2022  A4: 0
Wed Aug 31 11:19:14 2022  A5: 2
Wed Aug 31 11:19:14 2022  skew 1.77, size 5.530e-14, alpha -0.299, combined = 1.295e-11 rroots = 1
Wed Aug 31 11:19:14 2022  
Wed Aug 31 11:19:14 2022  commencing square root phase
Wed Aug 31 11:19:14 2022  reading relations for dependency 1
Wed Aug 31 11:19:14 2022  read 1738170 cycles
Wed Aug 31 11:19:17 2022  cycles contain 5915176 unique relations
Wed Aug 31 11:20:02 2022  read 5915176 relations
Wed Aug 31 11:20:27 2022  multiplying 5915176 relations
Wed Aug 31 11:22:23 2022  multiply complete, coefficients have about 149.14 million bits
Wed Aug 31 11:22:24 2022  initial square root is modulo 225161
Wed Aug 31 11:24:36 2022  GCD is N, no factor found
Wed Aug 31 11:24:36 2022  reading relations for dependency 2
Wed Aug 31 11:24:37 2022  read 1738450 cycles
Wed Aug 31 11:24:39 2022  cycles contain 5923230 unique relations
Wed Aug 31 11:25:25 2022  read 5923230 relations
Wed Aug 31 11:25:50 2022  multiplying 5923230 relations
Wed Aug 31 11:27:48 2022  multiply complete, coefficients have about 149.34 million bits
Wed Aug 31 11:27:49 2022  initial square root is modulo 228911
Wed Aug 31 11:29:58 2022  sqrtTime: 644
Wed Aug 31 11:29:58 2022  p59 factor: 53599930616245369222959826066772234242152180776180824930189
Wed Aug 31 11:29:58 2022  p102 factor: 102341384044411247520414543125120847330161558370178320345621869627539942800108922914121887036261364897
Wed Aug 31 11:29:58 2022  elapsed time 00:10:45

3377962847743784112296080025584336181539533723318657758267139229221320271003320878245529014333731174236778846338850700400984035804496085154310879549761891886220715108606871957<175>

23367118133193453510408592101248483<35>
144560524258458772923419907478227052853921513060423854371522522854900906191049868924492682802978185489987412548201089903749252849941007344679<141>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1324322346
Step 1 took 10031ms
Step 2 took 6349ms
********** Factor found in step 2: 23367118133193453510408592101248483
Found probable prime factor of 35 digits: 23367118133193453510408592101248483
Probable prime cofactor 144560524258458772923419907478227052853921513060423854371522522854900906191049868924492682802978185489987412548201089903749252849941007344679 has 141 digits

GMP-ECM 6.3

38384232740668263967884645323853102102646556685914677516017685091786977255096314877591754810259002802403341263279650787377925002307175400277116104918662035666810811896288248185313446779<185>

385978789152483152523868521293<30>
99446482085066987637357495828790063221358550958625309399032256413424532995748334553591545632952083087605915816463865604823886802985116047661805410039715303<155>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3359828010
Step 1 took 8689ms
Step 2 took 6022ms
********** Factor found in step 2: 385978789152483152523868521293
Found probable prime factor of 30 digits: 385978789152483152523868521293
Probable prime cofactor 99446482085066987637357495828790063221358550958625309399032256413424532995748334553591545632952083087605915816463865604823886802985116047661805410039715303 has 155 digits

GMP-ECM 6.3

11187948857779994582061457858794505171353022075017032367629157564124468663708904493721419631943257063711487608061105653119725489971685873753474869434357776892787<161>

382774389424953924359730372577130646908852820143562437373367567691286401097634246265963937103690844946381705751690335746220186750503512917211457077319585251663649794163757630071377029502219<189>

239134959998275532563155055329089<33>
1600662610885979260036167251593112898709958565203575526751274558994845010555075286933089777809669581515130471896374897092603053239606908920866796200380452171<157>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2361596253
Step 1 took 9298ms
Step 2 took 5445ms
********** Factor found in step 2: 239134959998275532563155055329089
Found probable prime factor of 33 digits: 239134959998275532563155055329089
Probable prime cofactor 16006626108859792600361672515931128987099585652035755267
51274558994845010555075286933089777809669581515130471896374897092603053239606908
920866796200380452171 has 157 digits

GMP-ECM 6.3

385177757733139913732225999575285731406196350993632414796116192189361609364598007432451566219987526344183871485886481671516968226950220056905304650337919<153>

9960518138127405257115350927806321957<37>
2444835524866616974792934968996806853645121<43>
15817200597764909530409915610732344832737412154556891020195727939800670227<74>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3965772522
Step 1 took 6568ms
Step 2 took 5241ms
********** Factor found in step 2: 9960518138127405257115350927806321957
Found probable prime factor of 37 digits: 9960518138127405257115350927806321957
Composite cofactor 38670453925357140352320348493193187720412738033508562190752892412953238336162638044842342574381365476518813808512467 has 116 digits

N = 38670453925357140352320348493193187720412738033508562190752892412953238336162638044842342574381365476518813808512467 (116 digits)
Divisors found:
r1=2444835524866616974792934968996806853645121 (pp43)
r2=15817200597764909530409915610732344832737412154556891020195727939800670227 (pp74)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 5.06 hours.
Factorization parameters were as follows:
n: 38670453925357140352320348493193187720412738033508562190752892412953238336162638044842342574381365476518813808512467
Y0: -21102941884134933910742
Y1: 1692791007781
c0: 105260618129093954266187009457
c1: 5779109744550156138439599
c2: 41998508596865140947
c3: -332982315238669
c4: -2046458774
c5: 9240
skew: 145375.27 
type: gnfs
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9114714
Relations: 1103464 relations
Pruned matrix : 597685 x 597912
Polynomial selection time: 0.00 hours.
Total sieving time: 4.70 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.25 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: gnfs,115,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 5.06 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

548132171110419855539766303848847072494590620636354044050641931288891690453319008812594981027775227440592750129838808031780703280982143224195650297156153263236364184495807474056219176129940212483436130954257<207>

10954137099129631391861300997868886835431849<44>

50038826988387070647357693383670188700600076330765973114934918196116278996331877319991187031933796690756345331060427564935698726391101162338363099029474541600202793<164>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4143726657
Step 1 took 98232ms
Step 2 took 33548ms
********** Factor found in step 2: 10954137099129631391861300997868886835431849
Found probable prime factor of 44 digits: 10954137099129631391861300997868886835431849

1664460824291773607169645620087736573787227763038432851206629919992655905450431471683300697440461034868873656509123092303903131314098478562147955486432989185433545033174885317001497230415173923244788337<202>

1988847377065302371186381293793903169862893306514793498998151749724836434972564779560731003909570545528387263510290363195934710119897729499743271033038968549144642346076403650094223051913672127<193>

791350078581401324915406424303479060683<39>

2513233309625206349128273493685193149624385439645587882426189760818881447602445260446386175154698631555640273693456358735545029066482903509071265079295069<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1633987327
Step 1 took 31742ms
Step 2 took 11923ms
********** Factor found in step 2: 791350078581401324915406424303479060683
Found probable prime factor of 39 digits: 791350078581401324915406424303479060683

2513233309625206349128273493685193149624385439645587882426189760818881447602445260446386175154698631555640273693456358735545029066482903509071265079295069<154>

10881711427814197674723710857193753889019<41>
230959378614034602822324353339795939932665300843875352754489720741842104552789876689771525659845592126336871202951<114>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2385643195
Step 1 took 86712ms
Step 2 took 31063ms
********** Factor found in step 2: 10881711427814197674723710857193753889019
Found probable prime factor of 41 digits: 10881711427814197674723710857193753889019

38977397553789769408504648245242166890765159614275013172567345547299920132967145376399292164175266123372580910729599644604462848582742979578385521398814580291581902331595279091326752023<185>

45187711066280119656912828411566736086098420441<47>

862566318011079840682958104008969714057458476209426044898594507484191138776118518018828706593527806116632182547470604191147831263404302703<138>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1575178505
Step 1 took 83949ms
Step 2 took 30224ms
********** Factor found in step 2: 45187711066280119656912828411566736086098420441
Found probable prime factor of 47 digits: 45187711066280119656912828411566736086098420441

862566318011079840682958104008969714057458476209426044898594507484191138776118518018828706593527806116632182547470604191147831263404302703<138>

8470334325077456080418360382776195530187921<43>
101833798396522228631754742416211211593372183134190072868300802322398058703856732370950853830143<96>

Number: 40007_216
N = 862566318011079840682958104008969714057458476209426044898594507484191138776118518018828706593527806116632182547470604191147831263404302703 (138 digits)
Divisors found:
r1=8470334325077456080418360382776195530187921 (pp43)
r2=101833798396522228631754742416211211593372183134190072868300802322398058703856732370950853830143 (pp96)
Version: Msieve v. 1.51 (SVN 845)
Total time: 181.39 hours.
Factorization parameters were as follows:
# Murphy_E = 2.582e-11, selected by Erik Branger
n: 862566318011079840682958104008969714057458476209426044898594507484191138776118518018828706593527806116632182547470604191147831263404302703
Y0: -863185661957506726536186268
Y1: 124444137280573
c0: 6481851643595655654019394835499051455
c1: 8099899045804906156759709756581
c2: 2305134666267755146880843
c3: -281964290151993413
c4: -31587013890
c5: 1800
skew: 7851110.9
type: gnfs
# selected mechanically
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23754222
Relations: 3912798 relations
Pruned matrix : 2397953 x 2398178
Polynomial selection time: 0.00 hours.
Total sieving time: 175.95 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 4.57 hours.
time per square root: 0.73 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,16000000,16000000,28,28,55,55,2.6,2.6,100000
total time: 181.39 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

57362221565173743892589215463760142295877653256876580215159593332843311584354554972614584340952981296534773625927378397833545593584180365297202503099536474631169342445458751084747776845098079<191>

596523827644508110284715605362058416999<39>

96160821926728023672336380648355715094558804463914926808994858396459082265725451735037824958372702734401737402095634784703678196386742339114956442958921<152>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=401686332
Step 1 took 32034ms
Step 2 took 11264ms
********** Factor found in step 2: 596523827644508110284715605362058416999
Found probable prime factor of 39 digits: 596523827644508110284715605362058416999

254802821607730008780607661137773297849546750755448710083946964207709349499480264588423469298426960516855978638854264572172084912720144053992651221833777831352415992061<168>

23405376451659015768423078038846795626181<41>

10886508154824791125659801334362400211640206559309735890577914365342309100158604928540585742026889366353774120736066865581579481<128>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3712335133
Step 1 took 103596ms
Step 2 took 35479ms
********** Factor found in step 2: 23405376451659015768423078038846795626181
Found probable prime factor of 41 digits: 23405376451659015768423078038846795626181
Composite cofactor 10886508154824791125659801334362400211640206559309735890577914365342309100158604928540585742026889366353774120736066865581579481 has 128 digits

10886508154824791125659801334362400211640206559309735890577914365342309100158604928540585742026889366353774120736066865581579481<128>

518054582825344690889517638759031347080138026607<48>
21014210694657699013634719687401676955903481563100005358698206274329744257027383<80>

N = 10886508154824791125659801334362400211640206559309735890577914365342309100158604928540585742026889366353774120736066865581579481 (128 digits)
Divisors found:
r1=518054582825344690889517638759031347080138026607 (pp48)
r2=21014210694657699013634719687401676955903481563100005358698206274329744257027383 (pp80)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 18.39 hours.
Factorization parameters were as follows:
n: 10886508154824791125659801334362400211640206559309735890577914365342309100158604928540585742026889366353774120736066865581579481
Y0: -4038032530061180817525027
Y1: 60075736213871
c0: -1183871615047316052514218890240
c1: 1463414356558822024663104
c2: 254207227026837970504
c3: -946634034213390
c4: 2481057817
c5: 10140
skew: 206042.12 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19110532
Relations: 1987096 relations
Pruned matrix : 1127392 x 1127627
Polynomial selection time: 0.00 hours.
Total sieving time: 17.10 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.99 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 18.39 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

44793437701358422519647963522532153201452550644498668337619957627497516810441391612115633505026860008392483679775684280882945616686853312054685540760061961132098009601808770308785736868598909119070815721<203>

738870763642735673092346262503700509055288003717114235847514718039310469723797523413711284737368617<99>
60624184776943320886773978913051227150689771086156855985639456682013558189600018030220028193935286386113<104>

Number: 40007_220
N = 44793437701358422519647963522532153201452550644498668337619957627497516810441391612115633505026860008392483679775684280882945616686853312054685540760061961132098009601808770308785736868598909119070815721 (203 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=738870763642735673092346262503700509055288003717114235847514718039310469723797523413711284737368617 (pp99)
r2=60624184776943320886773978913051227150689771086156855985639456682013558189600018030220028193935286386113 (pp104)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 74.42 hours.
Factorization parameters were as follows:
n: 44793437701358422519647963522532153201452550644498668337619957627497516810441391612115633505026860008392483679775684280882945616686853312054685540760061961132098009601808770308785736868598909119070815721
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7768040 relations
Pruned matrix : 6741164 x 6741388
Total pre-computation time approximately 300 CPU-days.
Pre-computation saved approximately 8 G relations.
Total batch smoothness checking time: 35.09 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 38.35 hours.
time per square root: 0.59 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 74.42 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

37289990595938037612506892434102325113605317100391961835716763297807120069490719110785128981424558414927736432837425843952344247048834973319168678182318218014798712924090302852301842057060544388969<197>

6165365968982126795425430090357493223827477692694293<52>
17673198019661687407049615563583612569876836479501629850585611921093<68>
342230151379234232991827175256843348193909288108746013884443227873861685513281<78>

Number: 40007_221
N = 37289990595938037612506892434102325113605317100391961835716763297807120069490719110785128981424558414927736432837425843952344247048834973319168678182318218014798712924090302852301842057060544388969 (197 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=6165365968982126795425430090357493223827477692694293 (pp52)
r2=17673198019661687407049615563583612569876836479501629850585611921093 (pp68)
r3=342230151379234232991827175256843348193909288108746013884443227873861685513281 (pp78)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 38.81 hours.
Factorization parameters were as follows:
n: 37289990595938037612506892434102325113605317100391961835716763297807120069490719110785128981424558414927736432837425843952344247048834973319168678182318218014798712924090302852301842057060544388969
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 40
c0: 7
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: 7309698 relations
Pruned matrix : 6306201 x 6306426
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 32.31 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 5.72 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 38.81 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

211405305670667212585634343552965300303086501607393816003709317493297526912027540191980329159117955757203331895601083684737398407198435220208486855425883651715889661440216614332402392452703744373778110365302554553007<216>

200730376304051360382250382582927<33>
1053180438173673662779141731732941226160007736863208127816335937053169951738536383513019226352331373617260792148309071277276805201135878746654670130182603942243044545297919873073539041<184>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=797832978
Step 1 took 13791ms
Step 2 took 4180ms
********** Factor found in step 2: 200730376304051360382250382582927
Found probable prime factor of 33 digits: 200730376304051360382250382582927
Probable prime cofactor 1053180438173673662779141731732941226160007736863208127816335937053169951738536383513019226352331373617260792148309071277276805201135878746654670130182603942243044545297919873073539041 has 184 digits

GMP-ECM 6.3

32392389922888994288521317032204250341689830193003171667224059632003848231092884539177524756446372481046847681828737599452045836381912758143602907866942325588900655139901210866600462985580007<191>

62175051694091315062710242693576695207726759752820442141530397967845770220761600483985824120566884397180107069075558879059853851866799675754846048648479683799877296779220030684364534084291<188>

2642911961553744812246720006789359332429864078762296274447071330071210905137677766780900323476425160749394427356942500979693879748833505321943163859593523973517601563803466613<175>

38528222256794578406983213483628219800916006290343134890635979435910551992153756876145075016611089313954977258192901869071050901425783649122948347080124711414486263316165448492734744961211<188>

13088685022418831420256773404008590648845602423473032935930572305458375236295173090054587532682480209248165508132610473157702050495602033470241396502649057743027647027756390256369989826537449<191>

193406403693914145060428953627298958515928281473<48>

67674517350175457070222257535276721745355490850392045290933288040425791919685171171037131174594104978808708462286268213919142551890066205547113<143>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=486705012
Step 1 took 84180ms
Step 2 took 30112ms
********** Factor found in step 2: 193406403693914145060428953627298958515928281473
Found probable prime factor of 48 digits: 193406403693914145060428953627298958515928281473

67674517350175457070222257535276721745355490850392045290933288040425791919685171171037131174594104978808708462286268213919142551890066205547113<143>

1496175740538277970655032961452537656569472796770651129<55>
45231663311041421600515439556707130330131140673611638849814713579313719888706200089984497<89>

<Parameters were as follows:>
# Selected after ~22h of GPU search using msieve 1.54 (1017M) on a Tesla K80.
# size 6.934e-14, alpha -8.440, combined = 1.331e-11 rroots = 1
n: 67674517350175457070222257535276721745355490850392045290933288040425791919685171171037131174594104978808708462286268213919142551890066205547113
skew: 1459670.57
Y0: -2855293253032134164025072838
Y1: 47950364764981
c0: -125154241545601182182117197549321575
c1: 1955081050693717042101440184800
c2: 2880887812511553246558567
c3: -469561672341787392
c4: -1181739845092
c5: 356592
type: gnfs
rlim: 25165824
alim: 25165824
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5

<Sieving took 583 thread.hour on Intel Xeon E5-2680 v2 using gnfs-lasieve4I14e.>
<Linear algebra using 4 threads on Intel Xeon E5-1650 v3 @ 3.5GHz:>

Mon Oct 23 15:11:48 2017  
Mon Oct 23 15:11:48 2017  Msieve v. 1.54 (SVN 1008M)
Mon Oct 23 15:11:48 2017  random seeds: 27472ee0 9078cf0b
Mon Oct 23 15:11:48 2017  factoring 67674517350175457070222257535276721745355490850392045290933288040425791919685171171037131174594104978808708462286268213919142551890066205547113 (143 digits)
Mon Oct 23 15:11:48 2017  no P-1/P+1/ECM available, skipping
Mon Oct 23 15:11:48 2017  commencing number field sieve (143-digit input)
Mon Oct 23 15:11:48 2017  R0: -2855293253032134164025072838
Mon Oct 23 15:11:48 2017  R1: 47950364764981
Mon Oct 23 15:11:48 2017  A0: -125154241545601182182117197549321575
Mon Oct 23 15:11:48 2017  A1: 1955081050693717042101440184800
Mon Oct 23 15:11:48 2017  A2: 2880887812511553246558567
Mon Oct 23 15:11:48 2017  A3: -469561672341787392
Mon Oct 23 15:11:48 2017  A4: -1181739845092
Mon Oct 23 15:11:48 2017  A5: 356592
Mon Oct 23 15:11:48 2017  skew 1459670.57, size 6.934e-014, alpha -8.440, combined = 1.331e-011 rroots = 1
Mon Oct 23 15:11:48 2017  
Mon Oct 23 15:11:48 2017  commencing relation filtering
Mon Oct 23 15:11:48 2017  setting target matrix density to 124.0
Mon Oct 23 15:11:48 2017  estimated available RAM is 16308.3 MB
Mon Oct 23 15:11:48 2017  commencing duplicate removal, pass 1
Mon Oct 23 15:16:55 2017  found 3562604 hash collisions in 28046181 relations
Mon Oct 23 15:17:27 2017  commencing duplicate removal, pass 2
Mon Oct 23 15:18:00 2017  found 2770629 duplicates and 25275552 unique relations
Mon Oct 23 15:18:00 2017  memory use: 106.6 MB
Mon Oct 23 15:18:00 2017  reading ideals above 720000
Mon Oct 23 15:18:00 2017  commencing singleton removal, initial pass
Mon Oct 23 15:22:26 2017  memory use: 689.0 MB
Mon Oct 23 15:22:26 2017  reading all ideals from disk
Mon Oct 23 15:22:26 2017  memory use: 848.1 MB
Mon Oct 23 15:22:28 2017  keeping 24095125 ideals with weight <= 200, target excess is 141430
Mon Oct 23 15:22:30 2017  commencing in-memory singleton removal
Mon Oct 23 15:22:32 2017  begin with 25275552 relations and 24095125 unique ideals
Mon Oct 23 15:22:54 2017  reduce to 15418164 relations and 13119421 ideals in 14 passes
Mon Oct 23 15:22:54 2017  max relations containing the same ideal: 151
Mon Oct 23 15:23:00 2017  removing 2079112 relations and 1679112 ideals in 400000 cliques
Mon Oct 23 15:23:01 2017  commencing in-memory singleton removal
Mon Oct 23 15:23:02 2017  begin with 13339052 relations and 13119421 unique ideals
Mon Oct 23 15:23:11 2017  reduce to 13120808 relations and 11214939 ideals in 8 passes
Mon Oct 23 15:23:11 2017  max relations containing the same ideal: 134
Mon Oct 23 15:23:16 2017  removing 1612646 relations and 1212646 ideals in 400000 cliques
Mon Oct 23 15:23:17 2017  commencing in-memory singleton removal
Mon Oct 23 15:23:17 2017  begin with 11508162 relations and 11214939 unique ideals
Mon Oct 23 15:23:26 2017  reduce to 11352279 relations and 9841802 ideals in 8 passes
Mon Oct 23 15:23:26 2017  max relations containing the same ideal: 121
Mon Oct 23 15:23:30 2017  removing 1483344 relations and 1083344 ideals in 400000 cliques
Mon Oct 23 15:23:31 2017  commencing in-memory singleton removal
Mon Oct 23 15:23:31 2017  begin with 9868935 relations and 9841802 unique ideals
Mon Oct 23 15:23:38 2017  reduce to 9719252 relations and 8603991 ideals in 8 passes
Mon Oct 23 15:23:38 2017  max relations containing the same ideal: 110
Mon Oct 23 15:23:42 2017  removing 1426484 relations and 1026484 ideals in 400000 cliques
Mon Oct 23 15:23:42 2017  commencing in-memory singleton removal
Mon Oct 23 15:23:43 2017  begin with 8292768 relations and 8603991 unique ideals
Mon Oct 23 15:23:48 2017  reduce to 8136372 relations and 7415447 ideals in 8 passes
Mon Oct 23 15:23:48 2017  max relations containing the same ideal: 92
Mon Oct 23 15:23:52 2017  removing 1399851 relations and 999851 ideals in 400000 cliques
Mon Oct 23 15:23:52 2017  commencing in-memory singleton removal
Mon Oct 23 15:23:52 2017  begin with 6736521 relations and 7415447 unique ideals
Mon Oct 23 15:23:56 2017  reduce to 6559735 relations and 6231180 ideals in 8 passes
Mon Oct 23 15:23:56 2017  max relations containing the same ideal: 81
Mon Oct 23 15:23:59 2017  removing 698440 relations and 533944 ideals in 164496 cliques
Mon Oct 23 15:23:59 2017  commencing in-memory singleton removal
Mon Oct 23 15:24:00 2017  begin with 5861295 relations and 6231180 unique ideals
Mon Oct 23 15:24:03 2017  reduce to 5811413 relations and 5646264 ideals in 7 passes
Mon Oct 23 15:24:03 2017  max relations containing the same ideal: 76
Mon Oct 23 15:24:06 2017  relations with 0 large ideals: 503
Mon Oct 23 15:24:06 2017  relations with 1 large ideals: 1170
Mon Oct 23 15:24:06 2017  relations with 2 large ideals: 18477
Mon Oct 23 15:24:06 2017  relations with 3 large ideals: 134658
Mon Oct 23 15:24:06 2017  relations with 4 large ideals: 519970
Mon Oct 23 15:24:06 2017  relations with 5 large ideals: 1173303
Mon Oct 23 15:24:06 2017  relations with 6 large ideals: 1622988
Mon Oct 23 15:24:06 2017  relations with 7+ large ideals: 2340344
Mon Oct 23 15:24:06 2017  commencing 2-way merge
Mon Oct 23 15:24:09 2017  reduce to 3711679 relation sets and 3546530 unique ideals
Mon Oct 23 15:24:09 2017  commencing full merge
Mon Oct 23 15:25:41 2017  memory use: 487.1 MB
Mon Oct 23 15:25:42 2017  found 1640636 cycles, need 1636730
Mon Oct 23 15:25:42 2017  weight of 1636730 cycles is about 203140113 (124.11/cycle)
Mon Oct 23 15:25:42 2017  distribution of cycle lengths:
Mon Oct 23 15:25:42 2017  1 relations: 59563
Mon Oct 23 15:25:42 2017  2 relations: 96876
Mon Oct 23 15:25:42 2017  3 relations: 111421
Mon Oct 23 15:25:42 2017  4 relations: 113579
Mon Oct 23 15:25:42 2017  5 relations: 115230
Mon Oct 23 15:25:42 2017  6 relations: 113993
Mon Oct 23 15:25:42 2017  7 relations: 111496
Mon Oct 23 15:25:42 2017  8 relations: 107208
Mon Oct 23 15:25:42 2017  9 relations: 101862
Mon Oct 23 15:25:42 2017  10+ relations: 705502
Mon Oct 23 15:25:42 2017  heaviest cycle: 28 relations
Mon Oct 23 15:25:43 2017  commencing cycle optimization
Mon Oct 23 15:25:46 2017  start with 15329277 relations
Mon Oct 23 15:26:27 2017  pruned 757059 relations
Mon Oct 23 15:26:27 2017  memory use: 396.9 MB
Mon Oct 23 15:26:27 2017  distribution of cycle lengths:
Mon Oct 23 15:26:27 2017  1 relations: 59563
Mon Oct 23 15:26:27 2017  2 relations: 99479
Mon Oct 23 15:26:27 2017  3 relations: 116535
Mon Oct 23 15:26:27 2017  4 relations: 118588
Mon Oct 23 15:26:27 2017  5 relations: 121414
Mon Oct 23 15:26:27 2017  6 relations: 119622
Mon Oct 23 15:26:27 2017  7 relations: 117526
Mon Oct 23 15:26:27 2017  8 relations: 112504
Mon Oct 23 15:26:27 2017  9 relations: 107427
Mon Oct 23 15:26:27 2017  10+ relations: 664072
Mon Oct 23 15:26:27 2017  heaviest cycle: 28 relations
Mon Oct 23 15:26:29 2017  RelProcTime: 881
Mon Oct 23 15:26:29 2017  elapsed time 00:14:41

Mon Oct 23 15:27:25 2017  
Mon Oct 23 15:27:25 2017  commencing linear algebra
Mon Oct 23 15:27:26 2017  read 1636730 cycles
Mon Oct 23 15:27:29 2017  cycles contain 5709300 unique relations
Mon Oct 23 15:28:36 2017  read 5709300 relations
Mon Oct 23 15:28:48 2017  using 20 quadratic characters above 4294917295
Mon Oct 23 15:29:16 2017  building initial matrix
Mon Oct 23 15:30:42 2017  memory use: 781.7 MB
Mon Oct 23 15:30:44 2017  read 1636730 cycles
Mon Oct 23 15:30:44 2017  matrix is 1636553 x 1636730 (788.8 MB) with weight 243764450 (148.93/col)
Mon Oct 23 15:30:44 2017  sparse part has weight 187143712 (114.34/col)
Mon Oct 23 15:31:02 2017  filtering completed in 2 passes
Mon Oct 23 15:31:03 2017  matrix is 1636539 x 1636716 (788.8 MB) with weight 243763505 (148.93/col)
Mon Oct 23 15:31:03 2017  sparse part has weight 187143339 (114.34/col)
Mon Oct 23 15:31:07 2017  matrix starts at (0, 0)
Mon Oct 23 15:31:07 2017  matrix is 1636539 x 1636716 (788.8 MB) with weight 243763505 (148.93/col)
Mon Oct 23 15:31:08 2017  sparse part has weight 187143339 (114.34/col)
Mon Oct 23 15:31:08 2017  saving the first 48 matrix rows for later
Mon Oct 23 15:31:08 2017  matrix includes 64 packed rows
Mon Oct 23 15:31:09 2017  matrix is 1636491 x 1636716 (770.8 MB) with weight 209748245 (128.15/col)
Mon Oct 23 15:31:09 2017  sparse part has weight 185699735 (113.46/col)
Mon Oct 23 15:31:09 2017  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Mon Oct 23 15:31:19 2017  commencing Lanczos iteration (4 threads)
Mon Oct 23 15:31:19 2017  memory use: 622.6 MB
Mon Oct 23 15:31:26 2017  linear algebra at 0.1%, ETA 1h47m
Mon Oct 23 15:31:29 2017  checkpointing every 810000 dimensions
Mon Oct 23 17:32:47 2017  lanczos halted after 25878 iterations (dim = 1636487)
Mon Oct 23 17:32:49 2017  recovered 27 nontrivial dependencies
Mon Oct 23 17:32:50 2017  BLanczosTime: 7525
Mon Oct 23 17:32:50 2017  elapsed time 02:05:25

Mon Oct 23 17:32:59 2017  commencing square root phase
Mon Oct 23 17:32:59 2017  reading relations for dependency 1
Mon Oct 23 17:33:00 2017  read 818715 cycles
Mon Oct 23 17:33:02 2017  cycles contain 2856520 unique relations
Mon Oct 23 17:33:46 2017  read 2856520 relations
Mon Oct 23 17:33:59 2017  multiplying 2856520 relations
Mon Oct 23 17:37:37 2017  multiply complete, coefficients have about 150.01 million bits
Mon Oct 23 17:37:38 2017  initial square root is modulo 241931
Mon Oct 23 17:42:05 2017  sqrtTime: 546
Mon Oct 23 17:42:05 2017  p55 factor: 1496175740538277970655032961452537656569472796770651129
Mon Oct 23 17:42:05 2017  p89 factor: 45231663311041421600515439556707130330131140673611638849814713579313719888706200089984497
Mon Oct 23 17:42:05 2017  elapsed time 00:09:06

<Full log at https://pastebin.com/rdU23Bda>

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502576024103937856223379279326851451425673<42>

414783642192337809933161863467664125085603659260321223706012799052536153998637821981979580883510460744351430567640823992146035371828718832010806169526557794374249574307634229599<177>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=567881304
Step 1 took 112975ms
Step 2 took 36321ms
********** Factor found in step 2: 502576024103937856223379279326851451425673
Found probable prime factor of 42 digits: 502576024103937856223379279326851451425673

7131377349111513036272294747729796281722196155409508986702808118178371671560693232036628555669357254027552741436477288096881218360124629091576077089225541690306643671622633948481019045983462579682337003944526994079<214>

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91671545745013031069058510251961984569736731529435544856331762952547837029715144697915297259910540365984095042665831545393165380114641703984631038218178868189494077534779211851619849084649437220601<197>

19940140917859202378216503263466281731056729638143549770270827074044910027394794992510250545493858288217246805799013606070095836608824558756516719350861964691783693831301198582576244470207642031100992930044753<209>

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92981484614874328963065586405147467989166013395326225654600380394971279348200947753785197596581358731032950305321810070097335780624638028715854975198366989055580241919563892308776300460068336885600903813331471535434441<218>

32444432929019326518846307<26>

2865868693661424718000393245766717191381177359245100300129197164253460141503310718422644625380098230592712156416402782574869052962255833110836346925316839371075983373074400306129994530091675363<193>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3125937694
Step 1 took 11497ms
Step 2 took 6412ms
********** Factor found in step 2: 32444432929019326518846307
Found probable prime factor of 26 digits: 32444432929019326518846307
Composite cofactor 2865868693661424718000393245766717191381177359245100300129197164253460141503310718422644625380098230592712156416402782574869052962255833110836346925316839371075983373074400306129994530091675363 has 193 digits

GMP-ECM 6.3

824637931598962788753094374172167528238166123298039827851388896323740159311491251876361414679892780635047149862729786289090432902027060492568309858480730492563324541766805111900313<180>

31937514022329499199026746195384994575133471<44>
25820354427786934363120414560875629111674006291862742174205611484619556134046638114384717630497229001103114841697425538342347749852056903<137>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=925369814
Step 1 took 329658ms
Step 2 took 89783ms
********** Factor found in step 2: 31937514022329499199026746195384994575133471
Found probable prime factor of 44 digits: 31937514022329499199026746195384994575133471

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