249242805169099218110483718489943670020768006417293937568393361947376351088800721<81>

980156943101230219900359753653<30>
254288669710884780374892372181242723179308431072557<51>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 249242805169099218110483718489943670020768006417293937568393361947376351088800721 (81 digits)
Using B1=298000, B2=172085560, polynomial Dickson(3), sigma=1582660929
Step 1 took 1594ms
Step 2 took 921ms
********** Factor found in step 2: 980156943101230219900359753653
Found probable prime factor of 30 digits: 980156943101230219900359753653
Probable prime cofactor 254288669710884780374892372181242723179308431072557 has 51 digits

13394381603467477755945469483667385640135036286832826097295226247555419210533528815089<86>

450603619990888308306431347840461433<36>
29725419435685684489852635686211058845046578616633<50>

Number: n
N=13394381603467477755945469483667385640135036286832826097295226247555419210533528815089
  ( 86 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=450603619990888308306431347840461433 (pp36)
 r2=29725419435685684489852635686211058845046578616633 (pp50)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.73 hours.
Scaled time: 1.33 units (timescale=1.818).
Factorization parameters were as follows:
name: KA_2_1_107_9
n: 13394381603467477755945469483667385640135036286832826097295226247555419210533528815089
skew: 0.33
deg: 5
c5: 19000
c0: 71
m: 1000000000000000000000
type: snfs
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 180001)
Primes: RFBsize:41538, AFBsize:41668, largePrimes:3476528 encountered
Relations: rels:2873720, finalFF:99266
Max relations in full relation-set: 48
Initial matrix: 83273 x 99266 with sparse part having weight 7851229.
Pruned matrix : 77272 x 77752 with weight 4272405.
Total sieving time: 0.63 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.03 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,109,5,0,0,0,0,0,0,0,0,500000,500000,28,28,48,48,2.5,2.5,50000
total time: 0.73 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

5334136935099808580284923205132405491095318135366526656801882265322610145927107109722326448450493580324087<106>

192943753209624529109523104943977732198649113<45>
27646072217246202886997945868549461853782928111418179513056399<62>

Number: 21119_112
N=5334136935099808580284923205132405491095318135366526656801882265322610145927107109722326448450493580324087
  ( 106 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=192943753209624529109523104943977732198649113 (pp45)
 r2=27646072217246202886997945868549461853782928111418179513056399 (pp62)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.53 hours.
Scaled time: 1.72 units (timescale=0.677).
Factorization parameters were as follows:
name: 21119_112
n: 5334136935099808580284923205132405491095318135366526656801882265322610145927107109722326448450493580324087
m: 10000000000000000000000
c5: 1900
c0: 71
skew: 0.52
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:64189, largePrimes:2361199 encountered
Relations: rels:2768899, finalFF:523002
Max relations in full relation-set: 28
Initial matrix: 113354 x 523002 with sparse part having weight 43837723.
Pruned matrix : 64947 x 65577 with weight 6285656.
Total sieving time: 2.33 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.53 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

41851418652957022998455902922330375098846442739549810897668875981030293818986006207226198106994253139407075533<110>

8668069487682906600652956127049454670277290771<46>
4828228328398470071417068118715193261966974633062620905686001823<64>

Number: 21119_114
N=41851418652957022998455902922330375098846442739549810897668875981030293818986006207226198106994253139407075533
  ( 110 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=8668069487682906600652956127049454670277290771 (pp46)
 r2=4828228328398470071417068118715193261966974633062620905686001823 (pp64)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.38 hours.
Scaled time: 1.62 units (timescale=0.678).
Factorization parameters were as follows:
name: 21119_114
n: 41851418652957022998455902922330375098846442739549810897668875981030293818986006207226198106994253139407075533
m: 100000000000000000000000
c5: 19
c0: 710
skew: 2.06
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:64144, largePrimes:2134265 encountered
Relations: rels:2237799, finalFF:245661
Max relations in full relation-set: 28
Initial matrix: 113307 x 245661 with sparse part having weight 20999251.
Pruned matrix : 83577 x 84207 with weight 4754404.
Total sieving time: 2.17 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,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.38 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

5808029987541690152973383463236766090906255370289806657893139849685671618439794418005456394778248453<100>

1253918638360010980630156828555485474091<40>
4631903386600872960769452069902828289819525693679554924387983<61>

Number: 21119_124
N=5808029987541690152973383463236766090906255370289806657893139849685671618439794418005456394778248453
  ( 100 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1253918638360010980630156828555485474091 (pp40)
 r2=4631903386600872960769452069902828289819525693679554924387983 (pp61)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 4.21 hours.
Scaled time: 2.85 units (timescale=0.678).
Factorization parameters were as follows:
name: 21119_124
n: 5808029987541690152973383463236766090906255370289806657893139849685671618439794418005456394778248453
m: 10000000000000000000000000
c5: 19
c0: 710
skew: 2.06
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 750001)
Primes: RFBsize:49098, AFBsize:64144, largePrimes:2250891 encountered
Relations: rels:2388831, finalFF:237058
Max relations in full relation-set: 28
Initial matrix: 113307 x 237058 with sparse part having weight 23832349.
Pruned matrix : 93307 x 93937 with weight 7260611.
Total sieving time: 3.90 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 4.21 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

219222337602399907695857851621091496480904580593054113303334487135110188069689627322026075920156917041652244144455982462213<123>

1413942013724739012664646934719861<34>
155043371987302231298493040834790288681640158330016874349793071994628235823840962820138833<90>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 219222337602399907695857851621091496480904580593054113303334487135110188069689627322026075920156917041652244144455982462213 (123 digits)
Using B1=978000, B2=1045485222, polynomial Dickson(6), sigma=492425792
Step 1 took 8484ms
Step 2 took 4891ms
********** Factor found in step 2: 1413942013724739012664646934719861
Found probable prime factor of 34 digits: 1413942013724739012664646934719861
Probable prime cofactor 155043371987302231298493040834790288681640158330016874349793071994628235823840962820138833 has 90 digits

293389970794478209096552836142598741462779930913674529100775827845706558862965578857763<87>

5784939440621316381615971654557277699<37>
50716169772551226915531892187055375653717528087137<50>

Number: n
N=293389970794478209096552836142598741462779930913674529100775827845706558862965578857763
  ( 87 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=5784939440621316381615971654557277699 (pp37)
 r2=50716169772551226915531892187055375653717528087137 (pp50)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.33 hours.
Scaled time: 4.27 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_1_125_9
n: 293389970794478209096552836142598741462779930913674529100775827845706558862965578857763
skew: 0.82
deg: 5
c5: 190
c0: 71
m: 10000000000000000000000000
type: snfs
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 400001)
Primes: RFBsize:78498, AFBsize:78712, largePrimes:5072487 encountered
Relations: rels:4367200, finalFF:184214
Max relations in full relation-set: 48
Initial matrix: 157277 x 184214 with sparse part having weight 17282688.
Pruned matrix : 146383 x 147233 with weight 10383105.
Total sieving time: 2.11 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.12 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000
total time: 2.33 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

346468070147833660032137932254250415307534601826032743066574670396429414515780339704184084723327963<99>

24188464339752121280456516669389<32>
14323690221972322118217528148496229598451511026018742414164385860167<68>

Msieve v. 1.36
Wed Jun 11 20:43:23 2008
random seeds: 525b3299 f77d553e
factoring 3464680701478336600321379322542504153075346018260327430665746703964294
14515780339704184084723327963 (99 digits)
no P-1/P+1/ECM available, skipping
commencing quadratic sieve (99-digit input)
using multiplier of 1
using 64kb Pentium 4 sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 2608121 (95294 primes)
using large prime bound of 391218150 (28 bits)
using double large prime bound of 2926537886090700 (43-52 bits)
using trial factoring cutoff of 52 bits
polynomial 'A' values have 13 factors

sieving in progress (press Ctrl-C to pause)
95438 relations (21959 full + 73479 combined from 1457579 partial), need 95390
95438 relations (21959 full + 73479 combined from 1457579 partial), need 95390
sieving complete, commencing postprocessing
begin with 1479538 relations
reduce to 254860 relations in 12 passes
attempting to read 254860 relations
recovered 254860 relations
recovered 246051 polynomials
attempting to build 95438 cycles
found 95438 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 21959
   length 2 : 16209
   length 3 : 15947
   length 4 : 12888
   length 5 : 10074
   length 6 : 6948
   length 7 : 4671
   length 9+: 6742
largest cycle: 22 relations
matrix is 95294 x 95438 (26.0 MB) with weight 6442385 (67.50/col)
sparse part has weight 6442385 (67.50/col)
filtering completed in 3 passes
matrix is 91866 x 91930 (25.2 MB) with weight 6238098 (67.86/col)
sparse part has weight 6238098 (67.86/col)
saving the first 48 matrix rows for later
matrix is 91818 x 91930 (14.9 MB) with weight 4870259 (52.98/col)
sparse part has weight 3352459 (36.47/col)
matrix includes 64 packed rows
using block size 21845 for processor cache size 512 kB
commencing Lanczos iteration
memory use: 14.9 MB
linear algebra completed 88334 out of 91930 dimensions (96.1%)
lanczos halted after 1453 iterations (dim = 91814)
recovered 14 nontrivial dependencies
prp32 factor: 24188464339752121280456516669389
prp68 factor: 143236902219723221182175281484962295984515110260187424141643858601
67
elapsed time 17:08:08

Pentium 4 2.4GHz, Windows XP and Cygwin)

17099634862527007633774249557468016889650724451448309765314701595321185322430397101421106833371432310268550373729429<116>

10698206939899017923623609042878690937<38>
1598364563201131516546710489349534778051921624547529288544666400228846159595517<79>

Number: 21119_134
N=17099634862527007633774249557468016889650724451448309765314701595321185322430397101421106833371432310268550373729429
  ( 116 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=10698206939899017923623609042878690937 (pp38)
 r2=1598364563201131516546710489349534778051921624547529288544666400228846159595517 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 9.94 hours.
Scaled time: 19.86 units (timescale=1.997).
Factorization parameters were as follows:
name: 21119_134
n: 17099634862527007633774249557468016889650724451448309765314701595321185322430397101421106833371432310268550373729429
m: 1000000000000000000000000000
c5: 19
c0: 710
skew: 2.06
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1675001)
Primes: RFBsize:78498, AFBsize:64144, largePrimes:1647026 encountered
Relations: rels:1684261, finalFF:198191
Max relations in full relation-set: 28
Initial matrix: 142707 x 198191 with sparse part having weight 19597404.
Pruned matrix : 128343 x 129120 with weight 11138560.
Total sieving time: 9.69 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 9.94 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

252065165535361002452532784148597056128711426018622824885723522262738501167092198881757897<90>

133603222497974916207566236359895495592119<42>
1886669803486077342881805363901015169384078657663<49>

Msieve v. 1.36
Wed Jun 11 08:06:37 2008
random seeds: 96543fac dba2f462
factoring 2520651655353610024525327841485970561287114260186228248857235222627385
01167092198881757897 (90 digits)
no P-1/P+1/ECM available, skipping
commencing quadratic sieve (90-digit input)
using multiplier of 17
using 64kb Pentium 4 sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 1575269 (59429 primes)
using large prime bound of 126021520 (26 bits)
using double large prime bound of 380890718607520 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 12 factors

sieving in progress (press Ctrl-C to pause)
59947 relations (16155 full + 43792 combined from 629724 partial), need 59525
59947 relations (16155 full + 43792 combined from 629724 partial), need 59525
sieving complete, commencing postprocessing
begin with 645879 relations
reduce to 144865 relations in 10 passes
attempting to read 144865 relations
recovered 144865 relations
recovered 123874 polynomials
attempting to build 59947 cycles
found 59947 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 16155
   length 2 : 11799
   length 3 : 10594
   length 4 : 7866
   length 5 : 5532
   length 6 : 3513
   length 7 : 2054
   length 9+: 2434
largest cycle: 17 relations
matrix is 59429 x 59947 (14.3 MB) with weight 3521971 (58.75/col)
sparse part has weight 3521971 (58.75/col)
filtering completed in 3 passes
matrix is 55467 x 55530 (13.3 MB) with weight 3266995 (58.83/col)
sparse part has weight 3266995 (58.83/col)
saving the first 48 matrix rows for later
matrix is 55419 x 55530 (8.1 MB) with weight 2513840 (45.27/col)
sparse part has weight 1789178 (32.22/col)
matrix includes 64 packed rows
using block size 21845 for processor cache size 512 kB
commencing Lanczos iteration
memory use: 8.1 MB
lanczos halted after 878 iterations (dim = 55419)
recovered 18 nontrivial dependencies
prp42 factor: 133603222497974916207566236359895495592119
prp49 factor: 1886669803486077342881805363901015169384078657663
elapsed time 02:05:15

Pentium 4 2.4GHz, Windows XP and Cygwin)

15103390945624425556975625569909307003410456545785172300761814910792315112232985777664387<89>

4250715591941833113363929326424495917<37>
3553140787460875292162304042118460409815632172652911<52>

Msieve v. 1.36
Wed Jun 11 06:15:26 2008
random seeds: 842cce61 e20be948
factoring 1510339094562442555697562556990930700341045654578517230076181491079231
5112232985777664387 (89 digits)
no P-1/P+1/ECM available, skipping
commencing quadratic sieve (89-digit input)
using multiplier of 3
using 64kb Pentium 4 sieve core
sieve interval: 14 blocks of size 65536
processing polynomials in batches of 8
using a sieve bound of 1533041 (58333 primes)
using large prime bound of 122643280 (26 bits)
using double large prime bound of 362709283500240 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors

sieving in progress (press Ctrl-C to pause)
58569 relations (15723 full + 42846 combined from 617873 partial), need 58429
58569 relations (15723 full + 42846 combined from 617873 partial), need 58429
sieving complete, commencing postprocessing
begin with 633596 relations
reduce to 142553 relations in 9 passes
attempting to read 142553 relations
recovered 142553 relations
recovered 122273 polynomials
attempting to build 58569 cycles
found 58569 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 15723
   length 2 : 10979
   length 3 : 10473
   length 4 : 7863
   length 5 : 5457
   length 6 : 3524
   length 7 : 2049
   length 9+: 2501
largest cycle: 19 relations
matrix is 58333 x 58569 (14.2 MB) with weight 3487711 (59.55/col)
sparse part has weight 3487711 (59.55/col)
filtering completed in 3 passes
matrix is 54502 x 54566 (13.3 MB) with weight 3275180 (60.02/col)
sparse part has weight 3275180 (60.02/col)
saving the first 48 matrix rows for later
matrix is 54454 x 54566 (9.3 MB) with weight 2650970 (48.58/col)
sparse part has weight 2107434 (38.62/col)
matrix includes 64 packed rows
using block size 21826 for processor cache size 512 kB
commencing Lanczos iteration
memory use: 8.6 MB
lanczos halted after 863 iterations (dim = 54450)
recovered 15 nontrivial dependencies
prp37 factor: 4250715591941833113363929326424495917
prp52 factor: 3553140787460875292162304042118460409815632172652911
elapsed time 01:41:49

Pentium 4 2.4GHz, Windows XP and Cygwin)

2224234543658585009229052576859222565158549335853153762487314124689686259971732751014408988258302505370921285391561<115>

1603870692511431841860591622009493<34>
1386791687162605489137851193896744499618556517677168287616017596826355620762034277<82>

Number: 21119_138
N=2224234543658585009229052576859222565158549335853153762487314124689686259971732751014408988258302505370921285391561
  ( 115 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=1603870692511431841860591622009493 (pp34)
 r2=1386791687162605489137851193896744499618556517677168287616017596826355620762034277 (pp82)
Version: GGNFS-0.77.1-20060513-k8
Total time: 17.15 hours.
Scaled time: 34.34 units (timescale=2.003).
Factorization parameters were as follows:
name: 21119_138
n: 2224234543658585009229052576859222565158549335853153762487314124689686259971732751014408988258302505370921285391561
m: 1000000000000000000000000000
c5: 19000
c0: 71
skew: 0.33
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, 2725001)
Primes: RFBsize:78498, AFBsize:63999, largePrimes:1750118 encountered
Relations: rels:1816378, finalFF:175667
Max relations in full relation-set: 28
Initial matrix: 142564 x 175667 with sparse part having weight 21332623.
Pruned matrix : 135273 x 136049 with weight 15303043.
Total sieving time: 16.81 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 17.15 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

124612176564047940613189812872850872746123053929396105024813316924095670437315190625530573100811253768993389660371<114>

650231791063999630808600501041274974102363870523<48>
191642700766968311023323590286528352074786023369003402963652968777<66>

Number: 21119_141
N=124612176564047940613189812872850872746123053929396105024813316924095670437315190625530573100811253768993389660371
  ( 114 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=650231791063999630808600501041274974102363870523 (pp48)
 r2=191642700766968311023323590286528352074786023369003402963652968777 (pp66)
Version: GGNFS-0.77.1-20060513-k8
Total time: 18.56 hours.
Scaled time: 37.06 units (timescale=1.997).
Factorization parameters were as follows:
name: 21119_141
n: 124612176564047940613189812872850872746123053929396105024813316924095670437315190625530573100811253768993389660371
m: 10000000000000000000000000000
c5: 190
c0: 71
skew: 0.82
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, 2750001)
Primes: RFBsize:100021, AFBsize:100044, largePrimes:2926502 encountered
Relations: rels:2964235, finalFF:258827
Max relations in full relation-set: 28
Initial matrix: 200132 x 258827 with sparse part having weight 31021926.
Pruned matrix : 185082 x 186146 with weight 20907215.
Total sieving time: 17.93 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 18.56 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

13237546736842859505402038877708992687784678505751658372756797808700605511230085366853429133351356265970701486042520921806832811<128>

16065327225299271269093343103523<32>
35702000102923126067043311456968363449168793523<47>
23079446206702040089175443834158184126317648059459<50>

Number: 21119_142
N=13237546736842859505402038877708992687784678505751658372756797808700605511230085366853429133351356265970701486042520921806832811
  ( 128 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=16065327225299271269093343103523 (pp32)
 r2=35702000102923126067043311456968363449168793523 (pp47)
 r3=23079446206702040089175443834158184126317648059459 (pp50)
Version: GGNFS-0.77.1-20060513-k8
Total time: 17.07 hours.
Scaled time: 34.10 units (timescale=1.997).
Factorization parameters were as follows:
name: 21119_142
n: 13237546736842859505402038877708992687784678505751658372756797808700605511230085366853429133351356265970701486042520921806832811
m: 10000000000000000000000000000
c5: 1900
c0: 71
skew: 0.52
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, 2550001)
Primes: RFBsize:100021, AFBsize:100279, largePrimes:2828872 encountered
Relations: rels:2812879, finalFF:226712
Max relations in full relation-set: 28
Initial matrix: 200367 x 226712 with sparse part having weight 25694109.
Pruned matrix : 193388 x 194453 with weight 20533623.
Total sieving time: 16.39 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.09 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: 17.07 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

111169621438183839447662512433444502954771517172780995845766777836288104850506114329179100111169621438183839447662512433444502954771517172781<141>

773537122612256721050443498792233896398463284176095668716900509<63>
143715948709430888732671112113368641464136741032198092002947921700020431129809<78>

Number: 21119_143
N=111169621438183839447662512433444502954771517172780995845766777836288104850506114329179100111169621438183839447662512433444502954771517172781
  ( 141 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=773537122612256721050443498792233896398463284176095668716900509 (pp63)
 r2=143715948709430888732671112113368641464136741032198092002947921700020431129809 (pp78)
Version: GGNFS-0.77.1-20060513-k8
Total time: 22.98 hours.
Scaled time: 46.18 units (timescale=2.010).
Factorization parameters were as follows:
name: 21119_143
n: 111169621438183839447662512433444502954771517172780995845766777836288104850506114329179100111169621438183839447662512433444502954771517172781
m: 10000000000000000000000000000
c5: 19000
c0: 71
skew: 0.33
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, 3350001)
Primes: RFBsize:100021, AFBsize:99934, largePrimes:3035935 encountered
Relations: rels:3122816, finalFF:265596
Max relations in full relation-set: 28
Initial matrix: 200022 x 265596 with sparse part having weight 33581023.
Pruned matrix : 184436 x 185500 with weight 22513251.
Total sieving time: 22.36 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 22.98 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

234320744919953998644664146041415550365721035702132307679367874653003350034359437441275675680208765477825568110337741658838195568952782483<138>

279576733790481204623483289144205990927420007608424299189687<60>
838126770218144510957697953206157504729388016127259238924760043036739444411909<78>

Number: 21119_144
N=234320744919953998644664146041415550365721035702132307679367874653003350034359437441275675680208765477825568110337741658838195568952782483
  ( 138 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=279576733790481204623483289144205990927420007608424299189687 (pp60)
 r2=838126770218144510957697953206157504729388016127259238924760043036739444411909 (pp78)
Version: GGNFS-0.77.1-20060513-k8
Total time: 24.32 hours.
Scaled time: 48.56 units (timescale=1.997).
Factorization parameters were as follows:
name: 21119_144
n: 234320744919953998644664146041415550365721035702132307679367874653003350034359437441275675680208765477825568110337741658838195568952782483
m: 100000000000000000000000000000
c5: 19
c0: 710
skew: 2.06
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, 3450001)
Primes: RFBsize:114155, AFBsize:114373, largePrimes:2976517 encountered
Relations: rels:3009909, finalFF:285451
Max relations in full relation-set: 28
Initial matrix: 228593 x 285451 with sparse part having weight 32777468.
Pruned matrix : 212266 x 213472 with weight 22989071.
Total sieving time: 23.51 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 24.32 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

3103073823269493305608185320794955251225673330272722625540159409801891601138730101334958690738026912142670841770836038315449012332431972047511<142>

3726369897506049222488673132552815264516392147<46>
832733708305847517955059751402619654460601103742913699994890502633673002797961698240750355056813<96>

Number: 21119_147
N=3103073823269493305608185320794955251225673330272722625540159409801891601138730101334958690738026912142670841770836038315449012332431972047511
  ( 142 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=3726369897506049222488673132552815264516392147 (pp46)
 r2=832733708305847517955059751402619654460601103742913699994890502633673002797961698240750355056813 (pp96)
Version: GGNFS-0.77.1-20060513-k8
Total time: 32.77 hours.
Scaled time: 65.86 units (timescale=2.010).
Factorization parameters were as follows:
name: 21119_147
n: 3103073823269493305608185320794955251225673330272722625540159409801891601138730101334958690738026912142670841770836038315449012332431972047511
m: 100000000000000000000000000000
c5: 1900
c0: 71
skew: 0.52
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, 4450001)
Primes: RFBsize:114155, AFBsize:114603, largePrimes:3082436 encountered
Relations: rels:3151468, finalFF:259813
Max relations in full relation-set: 28
Initial matrix: 228825 x 259813 with sparse part having weight 32779060.
Pruned matrix : 220551 x 221759 with weight 26667026.
Total sieving time: 31.77 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 32.77 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

153876605963533264497237871153137488274836088714222638533355576644654978814571391424895423745228899363662939247215583153132173003687803<135>

1665401849509587677728439136819520339<37>
396630940851504929651395216684056457143555288557<48>
232952280196970654163617482290594633816545512331261<51>

Number: 21119_148
N=153876605963533264497237871153137488274836088714222638533355576644654978814571391424895423745228899363662939247215583153132173003687803
  ( 135 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=1665401849509587677728439136819520339 (pp37)
 r2=396630940851504929651395216684056457143555288557 (pp48)
 r3=232952280196970654163617482290594633816545512331261 (pp51)
Version: GGNFS-0.77.1-20060513-k8
Total time: 41.46 hours.
Scaled time: 83.04 units (timescale=2.003).
Factorization parameters were as follows:
name: 21119_148
n: 153876605963533264497237871153137488274836088714222638533355576644654978814571391424895423745228899363662939247215583153132173003687803
m: 100000000000000000000000000000
c5: 19000
c0: 71
skew: 0.33
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, 5650001)
Primes: RFBsize:114155, AFBsize:114198, largePrimes:3268956 encountered
Relations: rels:3440669, finalFF:266667
Max relations in full relation-set: 28
Initial matrix: 228420 x 266667 with sparse part having weight 36402146.
Pruned matrix : 218879 x 220085 with weight 29047573.
Total sieving time: 40.45 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.70 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 41.46 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

30299554022614350384504348767263079177531164143037702442023852003276625984676290612901044365561203878923175331353497936833698384581<131>

123898729947282037215260261192283618233521<42>
244550965417535587962509097180011853513331875232412883300691306397524357045415864687563861<90>

Number: 21119_151
N=30299554022614350384504348767263079177531164143037702442023852003276625984676290612901044365561203878923175331353497936833698384581
  ( 131 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=123898729947282037215260261192283618233521 (pp42)
 r2=244550965417535587962509097180011853513331875232412883300691306397524357045415864687563861 (pp90)
Version: GGNFS-0.77.1-20060513-k8
Total time: 35.56 hours.
Scaled time: 70.79 units (timescale=1.991).
Factorization parameters were as follows:
name: 21119_151
n: 30299554022614350384504348767263079177531164143037702442023852003276625984676290612901044365561203878923175331353497936833698384581
m: 1000000000000000000000000000000
c5: 190
c0: 71
skew: 0.82
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, 2500001)
Primes: RFBsize:176302, AFBsize:176344, largePrimes:5725559 encountered
Relations: rels:5654649, finalFF:438134
Max relations in full relation-set: 28
Initial matrix: 352713 x 438134 with sparse part having weight 46113828.
Pruned matrix : 323557 x 325384 with weight 31379717.
Total sieving time: 33.71 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.52 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 35.56 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

4268621886005792021144542126464362252040163679003165895314335328381610626839328108400852990174236765408001271564047120580100681827647844634528873<145>

4901819949628641796466086337480125061060531270983<49>
870823883755497713499331899758122000845092549202887776729665908427056553088983618255881653274831<96>

Number: 21119_152
N=4268621886005792021144542126464362252040163679003165895314335328381610626839328108400852990174236765408001271564047120580100681827647844634528873
  ( 145 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=4901819949628641796466086337480125061060531270983 (pp49)
 r2=870823883755497713499331899758122000845092549202887776729665908427056553088983618255881653274831 (pp96)
Version: GGNFS-0.77.1-20060513-k8
Total time: 35.70 hours.
Scaled time: 71.08 units (timescale=1.991).
Factorization parameters were as follows:
name: 21119_152
n: 4268621886005792021144542126464362252040163679003165895314335328381610626839328108400852990174236765408001271564047120580100681827647844634528873
m: 1000000000000000000000000000000
c5: 1900
c0: 71
skew: 0.52
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, 2500001)
Primes: RFBsize:176302, AFBsize:176824, largePrimes:5811367 encountered
Relations: rels:5835518, finalFF:527410
Max relations in full relation-set: 28
Initial matrix: 353193 x 527410 with sparse part having weight 54511221.
Pruned matrix : 293898 x 295727 with weight 31266050.
Total sieving time: 33.99 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.40 hours.
Time per square root: 0.14 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: 35.70 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

3534111301396561829241944371109709550951878020320586502879799576712460981422857149193925613075150874769889794783911449876155375903171<133>

2330871598302278901853376041628293375034044869755858891<55>
1516218784411238460729939570299747737958774664936753931542252342962491493263081<79>

Number: 21119_153
N=3534111301396561829241944371109709550951878020320586502879799576712460981422857149193925613075150874769889794783911449876155375903171
  ( 133 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=2330871598302278901853376041628293375034044869755858891 (pp55)
 r2=1516218784411238460729939570299747737958774664936753931542252342962491493263081 (pp79)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 55.24 hours.
Scaled time: 37.23 units (timescale=0.674).
Factorization parameters were as follows:
name: 21119_153
n: 3534111301396561829241944371109709550951878020320586502879799576712460981422857149193925613075150874769889794783911449876155375903171
m: 1000000000000000000000000000000
c5: 19000
c0: 71
skew: 0.33
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, 2700001)
Primes: RFBsize:176302, AFBsize:176259, largePrimes:5780933 encountered
Relations: rels:5751272, finalFF:468492
Max relations in full relation-set: 28
Initial matrix: 352628 x 468492 with sparse part having weight 49607110.
Pruned matrix : 312585 x 314412 with weight 31405699.
Total sieving time: 50.22 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 4.53 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 55.24 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

3286507595284397990244440725109649136011496454300802589054816534378305641090379440018700033067620390985386802795054882189796354681<130>

1791677943138389668968679508662606052300273107<46>
1834318275709524259788133515195304765934811811430526130176162937982551937357179892483<85>

Number: n
N=3286507595284397990244440725109649136011496454300802589054816534378305641090379440018700033067620390985386802795054882189796354681
  ( 130 digits)
SNFS difficulty: 156 digits.
Divisors found:

Fri Jun 20 00:19:02 2008  prp46 factor: 1791677943138389668968679508662606052300273107
Fri Jun 20 00:19:02 2008  prp85 factor: 1834318275709524259788133515195304765934811811430526130176162937982551937357179892483
Fri Jun 20 00:19:02 2008  elapsed time 00:29:43 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 23.65 hours.
Scaled time: 43.12 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_2_1_153_9
n: 3286507595284397990244440725109649136011496454300802589054816534378305641090379440018700033067620390985386802795054882189796354681
skew: 2.06
deg: 5
c5: 19
c0: 710
m: 10000000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1800311)
Primes: RFBsize:114155, AFBsize:114373, largePrimes:7133643 encountered
Relations: rels:6460420, finalFF:245971
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 23.49 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,100000
total time: 23.65 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

955522886778041600093440240348014365106179622949600182179310014977255835521154610734965233983597443817269068745577149968079675757884258981031<141>

77929169194250521052812225269081813650033303291080915556048887978241<68>
12261427866582958791184193364468933936256879057608293595733557701239457191<74>

Number: n
N=955522886778041600093440240348014365106179622949600182179310014977255835521154610734965233983597443817269068745577149968079675757884258981031
  ( 141 digits)
SNFS difficulty: 158 digits.
Divisors found:

Wed Jun 18 10:38:00 2008  prp68 factor: 77929169194250521052812225269081813650033303291080915556048887978241
Wed Jun 18 10:38:00 2008  prp74 factor: 12261427866582958791184193364468933936256879057608293595733557701239457191
Wed Jun 18 10:38:00 2008  elapsed time 01:11:42 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.86 hours.
Scaled time: 51.68 units (timescale=1.441).
Factorization parameters were as follows:
name: KA_2_1_156_9
n: 955522886778041600093440240348014365106179622949600182179310014977255835521154610734965233983597443817269068745577149968079675757884258981031
skew: 0.52
deg: 5
c5: 1900
c0: 71
m: 10000000000000000000000000000000
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  special-q in [100000, 1800167)
Primes: RFBsize:216816, AFBsize:217002, largePrimes:7060869 encountered
Relations: rels:6477932, finalFF:461756
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 35.65 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,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 35.86 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

1603444575628166296323850859232332205498429149271953164507338103129857597627597826527727616013810322286400015061749747416092265207180448049<139>

1552232375168401888226285240732768948412176616299065734638659<61>
1032992611981958171657311747096309357508297728486040740667074691813325998649211<79>

Number: n
N=1603444575628166296323850859232332205498429149271953164507338103129857597627597826527727616013810322286400015061749747416092265207180448049
  ( 139 digits)
SNFS difficulty: 159 digits.
Divisors found:

Thu Jun 19 18:40:36 2008  prp61 factor: 1552232375168401888226285240732768948412176616299065734638659
Thu Jun 19 18:40:36 2008  prp79 factor: 1032992611981958171657311747096309357508297728486040740667074691813325998649211
Thu Jun 19 18:40:36 2008  elapsed time 01:19:33 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 48.30 hours.
Scaled time: 84.96 units (timescale=1.759).
Factorization parameters were as follows:
name: KA_2_1_157_9
n: 1603444575628166296323850859232332205498429149271953164507338103129857597627597826527727616013810322286400015061749747416092265207180448049
type: snfs
skew: 0.33
deg: 5
c5: 19000
c0: 71
m: 10000000000000000000000000000000
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2500213)
Primes: RFBsize:203362, AFBsize:203478, largePrimes:7041615 encountered
Relations: rels:6395775, finalFF:429719
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 48.07 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.3,2.3,100000
total time: 48.30 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

21527588851111722002830557879225910998694697479830930289731614802312922945498898793081333700260607997346333469572376218484361244054644837<137>

250401041858585819131096746756630366154245800973610054933853193899<66>
85972441214000396829052981243585775513440893313292234278082838842690863<71>

Number: n
N=21527588851111722002830557879225910998694697479830930289731614802312922945498898793081333700260607997346333469572376218484361244054644837
  ( 137 digits)
SNFS difficulty: 161 digits.
Divisors found:

Thu Jun 26 14:22:48 2008  prp66 factor: 250401041858585819131096746756630366154245800973610054933853193899
Thu Jun 26 14:22:48 2008  prp71 factor: 85972441214000396829052981243585775513440893313292234278082838842690863
Thu Jun 26 14:22:48 2008  elapsed time 01:04:02 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 32.37 hours.
Scaled time: 59.20 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_1_158_9
n: 21527588851111722002830557879225910998694697479830930289731614802312922945498898793081333700260607997346333469572376218484361244054644837
skew: 2.06
deg: 5
c5: 19
c0: 710
m: 100000000000000000000000000000000
type: snfs
rlim: 4200000
alim: 4200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2100097)
Primes: RFBsize:296314, AFBsize:296187, largePrimes:7325398 encountered
Relations: rels:6841474, finalFF:613001
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 32.20 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4200000,4200000,28,28,48,48,2.5,2.5,100000
total time: 32.37 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

23956883709415985088805146185238519992526664677894688593124161720632613338572606501599381490541484980237314702722541489720018966486199461<137>

3099176592679107542715695147437752731506212235694176436016316355489<67>
7730080230344753874735172128135993331930898349569035397737365097724549<70>

Number: n
N=23956883709415985088805146185238519992526664677894688593124161720632613338572606501599381490541484980237314702722541489720018966486199461
  ( 137 digits)
SNFS difficulty: 161 digits.
Divisors found:

Fri Jun 27 00:53:52 2008  prp67 factor: 3099176592679107542715695147437752731506212235694176436016316355489
Fri Jun 27 00:53:52 2008  prp70 factor: 7730080230344753874735172128135993331930898349569035397737365097724549
Fri Jun 27 00:53:52 2008  elapsed time 01:43:21 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 48.04 hours.
Scaled time: 84.50 units (timescale=1.759).
Factorization parameters were as follows:
name: KA_2_1_159_9
n: 23956883709415985088805146185238519992526664677894688593124161720632613338572606501599381490541484980237314702722541489720018966486199461
type: snfs
skew: 1.30
deg: 5
c5: 19
c0: 71
m: 100000000000000000000000000000000
rlim: 4200000
alim: 4200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2300131)
Primes: RFBsize:296314, AFBsize:296822, largePrimes:7204240 encountered
Relations: rels:6697074, finalFF:620996
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 47.72 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4200000,4200000,28,28,48,48,2.3,2.3,100000
total time: 48.04 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

868770004572473708276177411979881115683584819387288523090992226794695930498399634202103337905807041609510745313214449016918152720621856424325560128029263831733<159>

286786067147872235350150512053<30>
112622410320040502526431761387219772249611150037774127671<57>
26898121553328486879024622069541410307556323510188262663095503894721747591<74>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 868770004572473708276177411979881115683584819387288523090992226794695930498399634202103337905807041609510745313214449016918152720621856424325560128029263831733 (159 digits)
Using B1=356000, B2=215197720, polynomial Dickson(3), sigma=2875533569
Step 1 took 4531ms
Step 2 took 2141ms
********** Factor found in step 2: 286786067147872235350150512053
Found probable prime factor of 30 digits: 286786067147872235350150512053
Composite cofactor 3029331282417286052913425605800649802144685572686579710389061333460545261055441205830769603801466446700995622384536686522670690561 has 130 digits


Number: n
N=3029331282417286052913425605800649802144685572686579710389061333460545261055441205830769603801466446700995622384536686522670690561
  ( 130 digits)
SNFS difficulty: 162 digits.
Divisors found:

Wed Jun 18 21:16:51 2008  prp57 factor: 112622410320040502526431761387219772249611150037774127671
Wed Jun 18 21:16:51 2008  prp74 factor: 26898121553328486879024622069541410307556323510188262663095503894721747591
Wed Jun 18 21:16:51 2008  elapsed time 01:28:47 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 47.58 hours.
Scaled time: 87.02 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_1_160_9
n: 3029331282417286052913425605800649802144685572686579710389061333460545261055441205830769603801466446700995622384536686522670690561
skew: 0.82
deg: 5
c5: 190
c0: 71
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  special-q in [100000, 3300203)
Primes: RFBsize:216816, AFBsize:216642, largePrimes:7501597 encountered
Relations: rels:6884203, finalFF:446447
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 47.36 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
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: 47.58 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

28919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193303<161>

43940526090123600470562056510603<32>
73998714678262655889943985399989215015429575850397477288273<59>
8894034356803247423111327983734140548254674728357494938725391032087637<70>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 28919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193303 (161 digits)
Using B1=974000, B2=871244232, polynomial Dickson(3), sigma=3220374105
Step 1 took 12328ms
Step 2 took 5031ms
********** Factor found in step 2: 43940526090123600470562056510603
Found probable prime factor of 32 digits: 43940526090123600470562056510603
Composite cofactor 658147110707748824755832441227848690652084205220911259328710039673874479237845455658772436193296458069020869661212196684848380901 has 129 digits



Number: n
N=658147110707748824755832441227848690652084205220911259328710039673874479237845455658772436193296458069020869661212196684848380901
  ( 129 digits)
SNFS difficulty: 163 digits.
Divisors found:

Tue Jun 24 03:33:39 2008  prp59 factor: 73998714678262655889943985399989215015429575850397477288273
Tue Jun 24 03:33:39 2008  prp70 factor: 8894034356803247423111327983734140548254674728357494938725391032087637
Tue Jun 24 03:33:39 2008  elapsed time 01:05:25 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 43.80 hours.
Scaled time: 80.10 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_1_161_9
n: 658147110707748824755832441227848690652084205220911259328710039673874479237845455658772436193296458069020869661212196684848380901
skew: 0.52
deg: 5
c5: 1900
c0: 71
m: 100000000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3000299)
Primes: RFBsize:315948, AFBsize:316312, largePrimes:7290029 encountered
Relations: rels:6865799, finalFF:650394
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 43.52 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,48,48,2.5,2.5,100000
total time: 43.80 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

6347216490610783077441171781434338047436822507152466738398464557918916343716774041846421465798549105708434295220219648071786733422107<133>

1702357182418622530789291597341299637631432288875092672261013494321<67>
3728486921641779431391217242278242452352917616981245286538949510667<67>

Number: n
N=6347216490610783077441171781434338047436822507152466738398464557918916343716774041846421465798549105708434295220219648071786733422107
  ( 133 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sun Jul 13 04:05:21 2008  prp67 factor: 1702357182418622530789291597341299637631432288875092672261013494321
Sun Jul 13 04:05:21 2008  prp67 factor: 3728486921641779431391217242278242452352917616981245286538949510667
Sun Jul 13 04:05:21 2008  elapsed time 02:59:59 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 86.99 hours.
Scaled time: 113.78 units (timescale=1.308).
Factorization parameters were as follows:
name: KA_2_1_162_9
n: 6347216490610783077441171781434338047436822507152466738398464557918916343716774041846421465798549105708434295220219648071786733422107
skew: 0.33
deg: 5
c5: 19000
c0: 71
m: 100000000000000000000000000000000
type: snfs
rlim: 4600000
alim: 4600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5700001)
Primes: RFBsize:322441, AFBsize:322667, largePrimes:8115761 encountered
Relations: rels:7560077, finalFF:650072
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 86.72 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,4600000,4600000,28,28,48,48,2.5,2.5,100000
total time: 86.99 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

45469698908481199516727249124846049133783177271867124530465321077300054016404482853634631520144827560167514096151705840653303648529847<134>

6742027040094211846211453572461118212957579443337461963393<58>
6744217820260450083366667566814032486869788470472656779231418088265090202679<76>

Number: 21119_164
N=45469698908481199516727249124846049133783177271867124530465321077300054016404482853634631520144827560167514096151705840653303648529847
  ( 134 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=6742027040094211846211453572461118212957579443337461963393
 r2=6744217820260450083366667566814032486869788470472656779231418088265090202679
Version: 
Total time: 28.00 hours.
Scaled time: 82.656 units (timescale=2.952).
Factorization parameters were as follows:
n: 45469698908481199516727249124846049133783177271867124530465321077300054016404482853634631520144827560167514096151705840653303648529847
Y0: -1000000000000000000000000000000000
Y1: 1
c5: 19
c0: 710
skew: 2.06
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 4600001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: 10573189 relations 
Max relations in full relation-set: 9708274 relations and about 9462589 large ideals
Initial matrix: 866332 x 866551 (261.2 MB) with weight 83061728 (95.85/col)
Pruned matrix : 860767 x 861015 (249.7 MB) with weight 63635070 (73.91/col)
Total sieving time: 25.00 hours.
Matrix solve time: 02:44:00.
Time per square root: 00:09:52.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.5,2.5,100000
total time: 28.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

Total time: 28.00 hours.

Msieve 1.36

Opteron-2.8GHz; Linux x86_64

151888285517697453349404132924871468767777805685695965312726172612353451929406967016381249252832945080495001996679890790773409019227<132>

301435271504692523257664371180080720857128869883045784752185487<63>
503883585883986267026777603663420832974904119028443835373022979452021<69>

Number: n
N=151888285517697453349404132924871468767777805685695965312726172612353451929406967016381249252832945080495001996679890790773409019227
  ( 132 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sun Jul 20 14:20:37 2008  prp63 factor: 301435271504692523257664371180080720857128869883045784752185487
Sun Jul 20 14:20:37 2008  prp69 factor: 503883585883986267026777603663420832974904119028443835373022979452021
Sun Jul 20 14:20:37 2008  elapsed time 02:27:03 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 58.26 hours.
Scaled time: 106.55 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_1_165_9
n: 151888285517697453349404132924871468767777805685695965312726172612353451929406967016381249252832945080495001996679890790773409019227
skew: 0.82
deg: 5
c5: 190
c0: 71
m: 1000000000000000000000000000000000
type: snfs
rlim: 5200000
alim: 5200000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 3600000)
Primes: RFBsize:361407, AFBsize:361798, largePrimes:10438565 encountered
Relations: rels:10034059, finalFF:839198
Max relations in full relation-set: 28
Initial matrix: 723272 x 839198 with sparse part having weight 83825767.
Pruned matrix : 631948 x 635628 with weight 56173117.
Total sieving time: 57.88 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5200000,5200000,28,28,50,50,2.5,2.5,100000
total time: 58.26 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

133224028178890697708681965758845400603728229286676076401782104364682575091332750980674990649652299839425226083593134509865199424615266849874400940391168281227<159>

10766075811599655430741404354340972913661347<44>
12374427833338457331814433209166661760078812457314883748540314012065840097373485608599199199387260515247162077378041<116>

GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 133224028178890697708681965758845400603728229286676076401782104364682575091332750980674990649652299839425226083593134509865199424615266849874400940391168281227 (159 digits)
Using B1=3266000, B2=5707206970, polynomial Dickson(6), sigma=403620968
Step 1 took 57640ms
Step 2 took 21360ms
********** Factor found in step 2: 10766075811599655430741404354340972913661347
Found probable prime factor of 44 digits: 10766075811599655430741404354340972913661347
Probable prime cofactor 12374427833338457331814433209166661760078812457314883748540314012065840097373485608599199199387260515247162077378041 has 116 digits

47456818234849384485919149010234197237043999182472042017612061274694520497973354897231898436283664885858051334911013044250936917790809933381231<143>

5953901394817602332266795990080373<34>
7970709470626566079289325522510715490264808474915393724092566519897218412184343046077211774275868043748116947<109>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 47456818234849384485919149010234197237043999182472042017612061274694520497973354897231898436283664885858051334911013044250936917790809933381231 (143 digits)
Using B1=1792000, B2=2140281790, polynomial Dickson(6), sigma=4224226140
Step 1 took 24913ms
Step 2 took 8362ms
********** Factor found in step 2: 5953901394817602332266795990080373
Found probable prime factor of 34 digits: 5953901394817602332266795990080373
Probable prime cofactor 7970709470626566079289325522510715490264808474915393724092566519897218412184343046077211774275868043748116947 has 109 digits

10482528762203222779447796871500280565529891335012482902432438626124840006434825907390863943724652265498027597009542119289264411940490195729907<143>

1472916625511933818304086346266260652139237503<46>
7116851409399948800992630964973514929835328139534602203013552485803304887760559036954951326947469<97>

Number: 21119_170
N=10482528762203222779447796871500280565529891335012482902432438626124840006434825907390863943724652265498027597009542119289264411940490195729907
  ( 143 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=1472916625511933818304086346266260652139237503
 r2=7116851409399948800992630964973514929835328139534602203013552485803304887760559036954951326947469
Version: 
Total time: 41.40 hours.
Scaled time: 98.74 units (timescale=2.385).
Factorization parameters were as follows:
n: 10482528762203222779447796871500280565529891335012482902432438626124840006434825907390863943724652265498027597009542119289264411940490195729907
m: 10000000000000000000000000000000000
deg: 5
c5: 19
c0: 71
skew: 1.30
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11129718
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1061046 x 1061293
Total sieving time: 36.83 hours.
Total relation processing time: 1.69 hours.
Matrix solve time: 2.61 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 41.40 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672387)
Calibrating delay using timer specific routine.. 5344.57 BogoMIPS (lpj=2672286)
Calibrating delay using timer specific routine.. 5237.81 BogoMIPS (lpj=2618908)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

3444590720796534891970900366617273075288864508894370522444950161612774095027857693356068550244426897682148456369374381691702403566455224593338052625372309739<157>

36770347511060861410054629572166650094512885628335317<53>
93678492425462393852818727293289502166124539235947642213770088451030209181339994735034641839970928805567<104>

Sieving: ~200M Rels @ 0.00076secs/rel, 43 Hours total

rlim: 12000000
alim: 12000000
lpbr: 33
lpba: 33
mfbr: 65
mfba: 65
rlambda: 2.6
alambda: 2.6


Msieve v. 1.43
Tue Nov  3 13:48:17 2009
random seeds: dc994ee7 1f3797af
factoring 3444590720796534891970900366617273075288864508894370522444950161612774095027857693356068550244426897682148456369374381691702403566455224593338052625372309739 (157 digits)
searching for 15-digit factors
commencing number field sieve (157-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0:  71
A1:  0
A2:  0
A3:  0
A4:  0
A5:  190
skew 0.82, size 2.796412e-12, alpha 1.603695, combined = 1.575994e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
error -11 reading relation 42019041
error -9 reading relation 83306597
error -11 reading relation 141242284
error -6 reading relation 141242342
error -11 reading relation 141242368
error -11 reading relation 141242384
error -6 reading relation 141242387
error -6 reading relation 141242425
error -6 reading relation 141242455
error -11 reading relation 141242501
error -11 reading relation 141242542
error -11 reading relation 141242553
error -11 reading relation 180726972
error -11 reading relation 180727060
error -11 reading relation 180727075
error -11 reading relation 180727116
error -11 reading relation 180727119
error -11 reading relation 180727135
error -11 reading relation 180727207
error -6 reading relation 180727245
error -11 reading relation 180727254
error -11 reading relation 180727292
error -6 reading relation 180749356
error -11 reading relation 180749523
error -11 reading relation 189285988
error -11 reading relation 189286082
error -11 reading relation 189286097
error -6 reading relation 189286104
error -11 reading relation 189286184
error -11 reading relation 189286215
error -6 reading relation 197048646
error -6 reading relation 197048659
found 19055345 hash collisions in 203204031 relations
commencing duplicate removal, pass 2
found 12204124 duplicates and 190999907 unique relations
memory use: 788.8 MB
reading ideals above 47775744
commencing singleton removal, initial pass
memory use: 6024.0 MB
reading all ideals from disk
memory use: 3283.9 MB
commencing in-memory singleton removal
begin with 190999907 relations and 224304224 unique ideals
reduce to 35532778 relations and 23616995 ideals in 21 passes
max relations containing the same ideal: 23
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1144.1 MB
keeping 29131945 ideals with weight <= 200, target excess is 228616
commencing in-memory singleton removal
begin with 35532778 relations and 29131945 unique ideals
reduce to 35435748 relations and 29034868 ideals in 17 passes
max relations containing the same ideal: 200
removing 3757157 relations and 3357157 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 31678591 relations and 29034868 unique ideals
reduce to 31452550 relations and 25448201 ideals in 9 passes
max relations containing the same ideal: 193
removing 2631341 relations and 2231341 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 28821209 relations and 25448201 unique ideals
reduce to 28692432 relations and 23086444 ideals in 8 passes
max relations containing the same ideal: 189
removing 2262214 relations and 1862214 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 26430218 relations and 23086444 unique ideals
reduce to 26326344 relations and 21119040 ideals in 7 passes
max relations containing the same ideal: 180
removing 2053924 relations and 1653924 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 24272420 relations and 21119040 unique ideals
reduce to 24181657 relations and 19373112 ideals in 8 passes
max relations containing the same ideal: 173
removing 1904878 relations and 1504878 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 22276779 relations and 19373112 unique ideals
reduce to 22189508 relations and 17779698 ideals in 7 passes
max relations containing the same ideal: 162
removing 1798573 relations and 1398573 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 20390935 relations and 17779698 unique ideals
reduce to 20304028 relations and 16292889 ideals in 7 passes
max relations containing the same ideal: 153
removing 1716636 relations and 1316636 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 18587392 relations and 16292889 unique ideals
reduce to 18505170 relations and 14892697 ideals in 6 passes
max relations containing the same ideal: 148
removing 1648470 relations and 1248470 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 16856700 relations and 14892697 unique ideals
reduce to 16772185 relations and 13558246 ideals in 7 passes
max relations containing the same ideal: 143
removing 1586891 relations and 1186891 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 15185294 relations and 13558246 unique ideals
reduce to 15093866 relations and 12278107 ideals in 6 passes
max relations containing the same ideal: 134
removing 1541129 relations and 1141129 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13552737 relations and 12278107 unique ideals
reduce to 13458160 relations and 11040351 ideals in 6 passes
max relations containing the same ideal: 131
removing 1498638 relations and 1098638 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11959522 relations and 11040351 unique ideals
reduce to 11854632 relations and 9834292 ideals in 7 passes
max relations containing the same ideal: 119
removing 1469127 relations and 1069127 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10385505 relations and 9834292 unique ideals
reduce to 10270302 relations and 8646644 ideals in 8 passes
max relations containing the same ideal: 105
removing 1437254 relations and 1037254 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8833048 relations and 8646644 unique ideals
reduce to 8699917 relations and 7471726 ideals in 7 passes
max relations containing the same ideal: 91
removing 1420498 relations and 1020498 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 7279419 relations and 7471726 unique ideals
reduce to 7131989 relations and 6298123 ideals in 8 passes
max relations containing the same ideal: 80
removing 1400326 relations and 1000326 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 5731663 relations and 6298123 unique ideals
reduce to 5546349 relations and 5103685 ideals in 9 passes
max relations containing the same ideal: 64
removing 757743 relations and 580274 ideals in 177469 cliques
commencing in-memory singleton removal
begin with 4788606 relations and 5103685 unique ideals
reduce to 4717295 relations and 4450118 ideals in 7 passes
max relations containing the same ideal: 59
relations with 0 large ideals: 5175
relations with 1 large ideals: 19840
relations with 2 large ideals: 124171
relations with 3 large ideals: 447449
relations with 4 large ideals: 956838
relations with 5 large ideals: 1277456
relations with 6 large ideals: 1118098
relations with 7+ large ideals: 768268
commencing 2-way merge
reduce to 2954600 relation sets and 2687423 unique ideals
commencing full merge
memory use: 304.6 MB
found 1500953 cycles, need 1463623
weight of 1463623 cycles is about 102593098 (70.10/cycle)
distribution of cycle lengths:
1 relations: 142922
2 relations: 150396
3 relations: 161403
4 relations: 160081
5 relations: 152703
6 relations: 138807
7 relations: 121703
8 relations: 102796
9 relations: 84561
10+ relations: 248251
heaviest cycle: 20 relations
commencing cycle optimization
start with 8578451 relations
pruned 224613 relations
memory use: 278.0 MB
distribution of cycle lengths:
1 relations: 142922
2 relations: 153537
3 relations: 166845
4 relations: 164248
5 relations: 157743
6 relations: 142321
7 relations: 124060
8 relations: 103421
9 relations: 84487
10+ relations: 224039
heaviest cycle: 19 relations
RelProcTime: 5988

commencing linear algebra
read 1463623 cycles
cycles contain 4542980 unique relations
read 4542980 relations
using 20 quadratic characters above 4294609058
building initial matrix
memory use: 570.6 MB
read 1463623 cycles
matrix is 1463440 x 1463623 (438.2 MB) with weight 129707074 (88.62/col)
sparse part has weight 98784045 (67.49/col)
filtering completed in 2 passes
matrix is 1461933 x 1462116 (438.1 MB) with weight 129652551 (88.67/col)
sparse part has weight 98760802 (67.55/col)
read 1462116 cycles
matrix is 1461933 x 1462116 (438.1 MB) with weight 129652551 (88.67/col)
sparse part has weight 98760802 (67.55/col)
saving the first 48 matrix rows for later
matrix is 1461885 x 1462116 (414.7 MB) with weight 102322884 (69.98/col)
sparse part has weight 94100608 (64.36/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 444.3 MB
linear algebra at 0.1%, ETA 3h12m462116 dimensions (0.1%, ETA 3h12m)
linear algebra completed 1461694 of 1462116 dimensions (100.0%, ETA 0h 0m)    5m)
lanczos halted after 23120 iterations (dim = 1461880)
recovered 34 nontrivial dependencies
BLanczosTime: 11908

commencing square root phase
reading relations for dependency 1
read 730527 cycles
cycles contain 2268188 unique relations
read 2268188 relations
multiplying 2268188 relations
multiply complete, coefficients have about 70.08 million bits
initial square root is modulo 107251
sqrtTime: 758
prp53 factor: 36770347511060861410054629572166650094512885628335317
prp104 factor: 93678492425462393852818727293289502166124539235947642213770088451030209181339994735034641839970928805567
elapsed time 05:10:56

50609538619473005538015354934017148109880233858686980802736537662952725629975550265526939856956134581950560873552600491232163800169035858989039838496971285479617274687<167>

110527258301512944407034947393828659078821691<45>
457891920936034296955040759482830030956478893226740620438124139533279660951936241323594087842050389692669698370301114641357<123>

Number: 21119_172
N=50609538619473005538015354934017148109880233858686980802736537662952725629975550265526939856956134581950560873552600491232163800169035858989039838496971285479617274687
  ( 167 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=110527258301512944407034947393828659078821691 (pp45)
 r2=457891920936034296955040759482830030956478893226740620438124139533279660951936241323594087842050389692669698370301114641357 (pp123)
Version: Msieve-1.40
Total time: 79.89 hours.
Scaled time: 138.92 units (timescale=1.739).
Factorization parameters were as follows:
n: 50609538619473005538015354934017148109880233858686980802736537662952725629975550265526939856956134581950560873552600491232163800169035858989039838496971285479617274687
m: 20000000000000000000000000000000000
deg: 5
c5: 475
c0: 568
skew: 1.04
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 7000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1106971 x 1107201
Total sieving time: 78.02 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.61 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 79.89 hours.

GGNFS, Msieve

17769047185474843637623970984890896396935727808988750004836082180234315419658151427980793876058863476976579263283211388353806416465667<134>

2556562396245684442736172507470817459031164911<46>
6950367106849695902421377822824936071855557618967249762947389954560567149944529875236397<88>

N = 17769047185474843637623970984890896396935727808988750004836082180234315419658151427980793876058863476976579263283211388353806416465667 (134 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=2556562396245684442736172507470817459031164911 (pp46)
r2=6950367106849695902421377822824936071855557618967249762947389954560567149944529875236397 (pp88)
Version: Msieve v. 1.48
Total time: 31.97 hours.
Factorization parameters were as follows:
name: (19*10^174+71)/9
n: 17769047185474843637623970984890896396935727808988750004836082180234315419658151427980793876058863476976579263283211388353806416465667
Y0: 100000000000000000000000000000
Y1: -1
c0: 71
c1: 0
c2: 0
c3: 0
c4: 0
c5: 0
c6: 19
skew: 1.25
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19992518
Relations: 2244492 relations
Pruned matrix : 1271328 x 1271558
Polynomial selection time: 0.00 hours.
Total sieving time: 29.81 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.99 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,176,6,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 31.97 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<176>

60850084350740294278005008684441134760052865768236487179773355418574426998451693<80>
346936431335518371490342055169677665804525006321550138544617865907161312009720281338190068074283<96>

Number: 21119_175
N=21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
  ( 176 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=60850084350740294278005008684441134760052865768236487179773355418574426998451693 (pp80)
 r2=346936431335518371490342055169677665804525006321550138544617865907161312009720281338190068074283 (pp96)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 155.75 hours.
Scaled time: 367.09 units (timescale=2.357).
Factorization parameters were as follows:
n: 21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
m: 100000000000000000000000000000000000
c5: 19
c0: 71
skew: 1.3
type: snfs
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [4200000, 7100001)
Primes: RFBsize:564877, AFBsize:565827, largePrimes:10879977 encountered
Relations: rels:10992982, finalFF:1297142
Max relations in full relation-set: 28
Initial matrix: 1130769 x 1297142 with sparse part having weight 89502042.
Pruned matrix : 985530 x 991247 with weight 62042272.
Total sieving time: 147.48 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 7.98 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,50,50,2.6,2.6,100000
total time: 155.75 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047200k/8912896k available (2440k kernel code, 339088k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.81 BogoMIPS (lpj=2672409)
Calibrating delay using timer specific routine.. 5344.41 BogoMIPS (lpj=2672208)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672385)

Core 2 Quad Q6700

16523860850882892395144792212261432649907044400229056482377148949941650807074754921165115690888775495900605003049413<116>

27406547521000446067339104767<29>
602916541684842867507687365160027289170544020368979297591614953242064948580130894740539<87>

Number: 21119_178
N=16523860850882892395144792212261432649907044400229056482377148949941650807074754921165115690888775495900605003049413
  ( 116 digits)
Divisors found:
 r1=27406547521000446067339104767 (pp29)
 r2=602916541684842867507687365160027289170544020368979297591614953242064948580130894740539 (pp87)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 73.94 hours.
Scaled time: 49.98 units (timescale=0.676).
Factorization parameters were as follows:
name: 21119_178
n: 16523860850882892395144792212261432649907044400229056482377148949941650807074754921165115690888775495900605003049413
skew: 40127.03
# norm 7.16e+15
c5: 40080
c4: -7945983226
c3: -232895586882496
c2: 10778743211792435213
c1: 140457272524332146727036
c0: -2681001619694258614734421287
# alpha -5.71
Y1: 2400596004961
Y0: -13275163457864381099522
# Murphy_E 4.83e-10
# M 4699310249935613700118238101142154720824295796173609648981454158679885067087264384430956907404713390557562756410728
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 3630001)
Primes: RFBsize:315948, AFBsize:315637, largePrimes:7499982 encountered
Relations: rels:7511772, finalFF:737157
Max relations in full relation-set: 28
Initial matrix: 631664 x 737157 with sparse part having weight 56387280.
Pruned matrix : 538707 x 541929 with weight 34822728.
Polynomial selection time: 3.11 hours.
Total sieving time: 56.46 hours.
Total relation processing time: 0.53 hours.
Matrix solve time: 13.40 hours.
Time per square root: 0.44 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 73.94 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

5604861744254553082904194108923132615069902738318492966919792631232035178936085882064031220397686856483266242032689770574122279984152481489113<142>

188821310526469173483265722149679159878998320574419371504992219<63>
29683417240496578178284222355374910098517427977881760797463492125768662262196827<80>

N=5604861744254553082904194108923132615069902738318492966919792631232035178936085882064031220397686856483266242032689770574122279984152481489113
  ( 142 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=188821310526469173483265722149679159878998320574419371504992219 (pp63)
 r2=29683417240496578178284222355374910098517427977881760797463492125768662262196827 (pp80)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 33.07 hours.
Scaled time: 63.26 units (timescale=1.913).
Factorization parameters were as follows:
n: 5604861744254553082904194108923132615069902738318492966919792631232035178936085882064031220397686856483266242032689770574122279984152481489113
m: 500000000000000000000000000000000000
deg: 5
c5: 304
c0: 355
skew: 1.03
# Murphy_E = 7.685e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 10450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1433470 x 1433698
Total sieving time: 30.22 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 2.28 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 33.07 hours.
 --------- CPU info (if available) ----------

16956341936954636823830406671022119473452377421172863927760170636107126124333473680391185710390598114809113096931884293522391598718004503536297511911854826944927<161>

1734477077554090182747424647024150661537590084307037644116098441767050325787<76>
9776054210451707895250834539334714982419914330290050550883269068969637375574523958221<85>

N=16956341936954636823830406671022119473452377421172863927760170636107126124333473680391185710390598114809113096931884293522391598718004503536297511911854826944927
  ( 161 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=1734477077554090182747424647024150661537590084307037644116098441767050325787 (pp76)
 r2=9776054210451707895250834539334714982419914330290050550883269068969637375574523958221 (pp85)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 122.57 hours.
Scaled time: 235.95 units (timescale=1.925).
Factorization parameters were as follows:
n: 16956341936954636823830406671022119473452377421172863927760170636107126124333473680391185710390598114809113096931884293522391598718004503536297511911854826944927
m: 1000000000000000000000000000000000000
deg: 5
c5: 19
c0: 71
skew: 1.30
# Murphy_E = 8.499e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 10100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1595611 x 1595842
Total sieving time: 119.72 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.46 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 122.57 hours.
 --------- CPU info (if available) ----------

18107949358317652563976504916646583521253343049105909040358454291337634505013914863074405954663813387555776891879712170904579655739863029374343759576067363782688863314746095147<176>

74415381796309196485502340019663<32>
6948819394157437393825958429058479<34>

35018338207362630724183714607434601855115933785277584731476066768601865093843253799868112297220488101566058411<110>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3176273629
Step 1 took 18343ms
Step 2 took 7055ms
********** Factor found in step 2: 6948819394157437393825958429058479
Found probable prime factor of 34 digits: 6948819394157437393825958429058479
Composite cofactor 2605903007573171930664939932201670894289921877360986355849317735624998792716430941503127242041607058911464959358583066505173036658275146535493 has 142 digits
------------
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3945054095
Step 1 took 13376ms
Step 2 took 5640ms
********** Factor found in step 2: 74415381796309196485502340019663
Found probable prime factor of 32 digits: 74415381796309196485502340019663
Composite cofactor 35018338207362630724183714607434601855115933785277584731476066768601865093843253799868112297220488101566058411 has 110 digits

GMP-ECM 6.2.3

35018338207362630724183714607434601855115933785277584731476066768601865093843253799868112297220488101566058411<110>

1627153350701634462616267706817492481038399771703643<52>
21521227972927441350599549157181569499032957677991063995377<59>

Number: 110nn
N=35018338207362630724183714607434601855115933785277584731476066768601865093843253799868112297220488101566058411
  ( 110 digits)
Divisors found:
 r1=1627153350701634462616267706817492481038399771703643 (pp52)
 r2=21521227972927441350599549157181569499032957677991063995377 (pp59)
Version: Msieve-1.40
Total time: 13.72 hours.
Scaled time: 25.99 units (timescale=1.894).
Factorization parameters were as follows:
name: 110nn
n: 35018338207362630724183714607434601855115933785277584731476066768601865093843253799868112297220488101566058411
skew: 22025.59
# norm 6.75e+015
c5: 60900
c4: 1379209778
c3: -349353490669634
c2: -414431653383526858
c1: 21855365907736672258269
c0: 48036971632485079632301270
# alpha -6.94
Y1: 425993809043
Y0: -895230174661335961951
# Murphy_E 1.10e-009
# M 20419770229140379328245493815538378588951177821094133808855861362286633923189834801169270094399668538205053770
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 419653 x 419876
Polynomial selection time: 1.41 hours.
Total sieving time: 11.58 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 13.72 hours.
 --------- CPU info (if available) ----------

1921576881983126142000499071370246426547484515733069233924306668308725748549417224420976451058082163192742151182957744268277735815669825882151<142>

72264310593838026868032596337452082195968017<44>
26590952936413661428440857358085084320493716447904343517681540606152120461627705709709185003269303<98>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4241193703
Step 1 took 67732ms
Step 2 took 25351ms
********** Factor found in step 2: 72264310593838026868032596337452082195968017
Found probable prime factor of 44 digits: 72264310593838026868032596337452082195968017

3003406009090687751119109429703408159141068851531342602648036716692608662865742661191418683186041717439507344403574306740703995301<130>

482174502305650264297079954469313345538367445471008584287<57>
6228877708649201100219711169944315057659979549311545259418571137508544123<73>

Number: 21119_185
N = 3003406009090687751119109429703408159141068851531342602648036716692608662865742661191418683186041717439507344403574306740703995301 (130 digits)
Divisors found:
r1=482174502305650264297079954469313345538367445471008584287 (pp57)
r2=6228877708649201100219711169944315057659979549311545259418571137508544123 (pp73)
Version: Msieve v. 1.44
Total time: 151.17 hours.
Factorization parameters were as follows:
 Murphy_E = 8.102623e-11, selected by Jeff Gilchrist
n: 3003406009090687751119109429703408159141068851531342602648036716692608662865742661191418683186041717439507344403574306740703995301
Y0: -9939412265920851657312027
Y1: 170919812075287
c0: 6577617220589017959902166770372
c1: 252045022072535910677562280
c2: -3532397779409443746341
c3: -8200413504267160
c4: 39675206412
c5: 30960
skew: 283645.66
type: gnfs
# selected mechanically
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [4750000, 10450000)
Relations: 17800509
Relations in full relation-set: 2578892 relations
Pruned matrix : 1504682 x 1504930
Polynomial selection time: 0.00 hours.
Total sieving time: 148.44 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 2.05 hours.
time per square root: 0.60 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9500000,9500000,28,28,53,53,2.5,2.5,100000
total time: 151.17 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

5183316644136062557681295143456195619511375007637578006533197583688867690830722337207553459203773000337139646405409185559958188659553612353504949958256852830428109951538381<172>

4358391731885958372452846415259<31>
1189272778354217280100680800461327306153659321777062555627400822010045303127061915050255094519260110855028197455342436403552819687545468395959<142>

N=5183316644136062557681295143456195619511375007637578006533197583688867690830722337207553459203773000337139646405409185559958188659553612353504949958256852830428109951538381
  ( 172 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=4358391731885958372452846415259 (pp31)
 r2=1189272778354217280100680800461327306153659321777062555627400822010045303127061915050255094519260110855028197455342436403552819687545468395959 (pp142)
Version: Msieve v. 1.48
Total time:
Scaled time: 32.49 units (timescale=1.315).
Factorization parameters were as follows:
n: 5183316644136062557681295143456195619511375007637578006533197583688867690830722337207553459203773000337139646405409185559958188659553612353504949958256852830428109951538381
m: 10000000000000000000000000000000000000
deg: 5
c5: 190
c0: 71
skew: 0.82
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4650000, 17550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2121677 x 2121903
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time:

210372596195594335057537429075682195098508286567139469509000111624089028599249764236979299460936704681701825543060034708863551030384739431526086136307049<153>

22378598140131176913236372086855046704030679920093<50>
9400615484413948698565350106934412028166998183269482179995658376561276695439592129518758309323062448893<103>

n: 210372596195594335057537429075682195098508286567139469509000111624089028599249764236979299460936704681701825543060034708863551030384739431526086136307049
skew: 0.33
c0: 71
c5: 19000
Y0: -10000000000000000000000000000000000000
Y1: 1
# f(x) = 19000*x^5+71
# g(x) = x-10000000000000000000000000000000000000

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: 3.99/0.514094
Info:Generate Free Relations: Total cpu/real time for freerel: 83.15/6.0113
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22145009
Info:Lattice Sieving: Average J: 7579.82 for 469635 special-q, max bucket fill -bkmult 1.0,1s:1.085810
Info:Lattice Sieving: Total time: 494500s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.62/94.7344
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 94.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 329.59/138.57
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 127.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 207.87/87.7003
Info:Filtering - Merging: Total cpu/real time for merge: 448.58/444.742
Info:Filtering - Merging: Total cpu/real time for replay: 37.33/32.9186
Info:Linear Algebra: Total cpu/real time for bwc: 45034.3/3217.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1956.62, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45000 iterations)
Info:Linear Algebra: Lingen CPU time 90.55, WCT time 90.9
Info:Linear Algebra: Mksol: WCT time 1058.27, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 44.28/13.399
Info:Square Root: Total cpu/real time for sqrt: 1014.42/153.375
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.04537e+06/14927.1
22378598140131176913236372086855046704030679920093 9400615484413948698565350106934412028166998183269482179995658376561276695439592129518758309323062448893

CADO-NFS-3.0.0-dev

6 * AMD Ryzen 7 1700X Eight-Core Processor w/ 64GB RAM

482051283167399735541988809491294002831346662319994033908604975413586128280628252530167899295987574941415368523553624402201113956269789993316768346793<150>

9202162680739434842989792001313844930972166894910140599973<58>
52384564356415481607418624050044301087819165457458367401464522139276712875086453989050972341<92>

482051283167399735541988809491294002831346662319994033908604975413586128280628252530167899295987574941415368523553624402201113956269789993316768346793=9202162680739434842989792001313844930972166894910140599973*52384564356415481607418624050044301087819165457458367401464522139276712875086453989050972341

n: 482051283167399735541988809491294002831346662319994033908604975413586128280628252530167899295987574941415368523553624402201113956269789993316768346793
skew: 1.03
type: snfs
c0: 355
c5: 304
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 304*x^5+355
# g(x) = -x+50000000000000000000000000000000000000

Info:Square Root: Factors: 9202162680739434842989792001313844930972166894910140599973 52384564356415481607418624050044301087819165457458367401464522139276712875086453989050972341
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.47/3.31238
Info:Generate Free Relations: Total cpu/real time for freerel: 205.4/59.6785
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26279785
Info:Lattice Sieving: Average J: 1894.08 for 2635580 special-q, max bucket fill -bkmult 1.0,1s:1.077270
Info:Lattice Sieving: Total time: 577703s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 108.61/222.828
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 221.29999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 820.55/674.58
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 573.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 666.2/562.815
Info:Filtering - Merging: Total cpu/real time for merge: 2288.25/2125.25
Info:Filtering - Merging: Total cpu/real time for replay: 204.12/180.53
Info:Linear Algebra: Total cpu/real time for bwc: 236302/70329.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 43526.28, iteration CPU time 0.5, COMM 0.02, cpu-wait 0.12, comm-wait 0.0 (68608 iterations)
Info:Linear Algebra: Lingen CPU time 2928.7, WCT time 984.62
Info:Linear Algebra: Mksol: WCT time 25338.02, iteration CPU time 0.6, COMM 0.02, cpu-wait 0.12, comm-wait 0.0 (34304 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 183.87/86.969
Info:Square Root: Total cpu/real time for sqrt: 1854.81/946.215
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.24176e+06/202339
Info:root: Cleaning up computation data in /tmp/cado.hf0glrc6
9202162680739434842989792001313844930972166894910140599973 52384564356415481607418624050044301087819165457458367401464522139276712875086453989050972341

cado-nfs-3.0.0

Linux Ubuntu 18.04 LTS [4.15.0-109-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

64208389536461955733990741943105732897582017367982385938171812005657179649751848407055126770851035912231336934001754684603552074977087972264345190054565191288437126839<167>

115146913363753188003211082949483349287447505127646888050633<60>
557621456457329196907289141581271619028971754385008794669836770183195276650323070969491366035885839140717183<108>

Factors: 115146913363753188003211082949483349287447505127646888050633 557621456457329196907289141581271619028971754385008794669836770183195276650323070969491366035885839140717183
Info:Square Root: Total cpu/real time for sqrt: 4930.97/314.401
Info:Filtering - Singleton removal: Total cpu/real time for purge: 403.27/164.335
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 55926144
Info:Lattice Sieving: Average J: 3790.78 for 855550 special-q, max bucket fill -bkmult 1.0,1s:1.214910
Info:Lattice Sieving: Total time: 327423s
Info:Generate Free Relations: Total cpu/real time for freerel: 904.64/41.3481
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1170.7/359.582
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 284.5s
Info:Linear Algebra: Total cpu/real time for bwc: 142387/12874.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 89160.0, WCT time 8091.51, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (82000 iterations)
Info:Linear Algebra: Lingen CPU time 2960.82, WCT time 127.7
Info:Linear Algebra: Mksol: CPU time 47682.99,  WCT time 4325.35, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (41000 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 60.26/7.47718
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 199.45/148.347
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 148.2s
Info:Filtering - Merging: Total cpu/real time for merge: 610.14/70.5734
Info:Filtering - Merging: Total cpu/real time for replay: 116.86/98.8261
Info:Quadratic Characters: Total cpu/real time for characters: 165.91/32.0092
Info:Square Root: Total cpu/real time for sqrt: 4930.97/314.401
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.32938e+06/29674.8
115146913363753188003211082949483349287447505127646888050633 557621456457329196907289141581271619028971754385008794669836770183195276650323070969491366035885839140717183

CADO-NFS

234097390727236936436955813980667773161913642262409259084498284963916783345768409520405529363217459584539916894786020180577128901903507700220711507<147>

13649009742432174913951387280746213645181<41>
17151236254119790076172375831225105360816640527466655798767013288374255403513127471161595493158130064748047<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1554634728
Step 1 took 16651ms
Step 2 took 7242ms
********** Factor found in step 2: 13649009742432174913951387280746213645181
Found probable prime factor of 41 digits: 13649009742432174913951387280746213645181

47843936713487550602355826709805935584888189043094902859333027342149175440716347635220102864201482121479582745533405584387137106997593959288507822205274549516867<161>

79477944427823535501100160487775523129166194933774196104063<59>
601977530469930062917695742872616260189535389415814603321753987532445182250367216179930791327952098109<102>

47843936713487550602355826709805935584888189043094902859333027342149175440716347635220102864201482121479582745533405584387137106997593959288507822205274549516867=79477944427823535501100160487775523129166194933774196104063*601977530469930062917695742872616260189535389415814603321753987532445182250367216179930791327952098109

cado polynomial
n: 47843936713487550602355826709805935584888189043094902859333027342149175440716347635220102864201482121479582745533405584387137106997593959288507822205274549516867
skew: 1.03
type: snfs
c0: 355
c5: 304
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 304*x^5+355
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12900000
tasks.lim1 = 12900000
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: 601977530469930062917695742872616260189535389415814603321753987532445182250367216179930791327952098109 79477944427823535501100160487775523129166194933774196104063
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.57/2.22193
Info:Generate Free Relations: Total cpu/real time for freerel: 99.34/25.6229
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30553669
Info:Lattice Sieving: Average J: 1893.67 for 4246373 special-q, max bucket fill -bkmult 1.0,1s:1.155230
Info:Lattice Sieving: Total time: 1.10297e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.51/159.721
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 158.69999999999996s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 530.56/518.07
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 448.19999999999993s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 460.54/522.479
Info:Filtering - Merging: Merged matrix has 2741721 rows and total weight 470791398 (171.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 370.91/159.97
Info:Filtering - Merging: Total cpu/real time for replay: 105.16/91.3907
Info:Linear Algebra: Total cpu/real time for bwc: 133964/34231.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 21857.27, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (86016 iterations)
Info:Linear Algebra: Lingen CPU time 559.58, WCT time 161.63
Info:Linear Algebra: Mksol: WCT time 11913.71, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43008 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 94.53/40.4673
Info:Square Root: Total cpu/real time for sqrt: 774.9/244.318
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.19401e+06/77297.7
Info:root: Cleaning up computation data in /tmp/cado.nss1ah6k
601977530469930062917695742872616260189535389415814603321753987532445182250367216179930791327952098109 79477944427823535501100160487775523129166194933774196104063

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)

176082008707865447020295542264229458925863776836611450340222310721972448753067474401439724332718101962723935366128347496330471531888095184656091538273493<153>

955725333099847413516352312488165284859321105489610524437865588015327037531<75>
184239135041813991465977458776315089205035002572068254703784364961095943093903<78>

p75 factor: 955725333099847413516352312488165284859321105489610524437865588015327037531
p78 factor: 184239135041813991465977458776315089205035002572068254703784364961095943093903


Msieve v. 1.54 (SVN 1034)
random seeds: 231fe107 c5c6862e
factoring 176082008707865447020295542264229458925863776836611450340222310721972448753067474401439724332718101962723935366128347496330471531888095184656091538273493 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 71
A1: 0
A2: 0
A3: 0
A4: 0
A5: 19
skew 1.00, size 8.515e-14, alpha 1.377, combined = 1.806e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2274381 hash collisions in 36514543 relations
added 727226 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37241769 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1235.2 MB
keeping 40122416 ideals with weight <= 200, target excess is 195883
commencing in-memory singleton removal
begin with 37241769 relations and 40122416 unique ideals
reduce to 14091668 relations and 12992587 ideals in 15 passes
max relations containing the same ideal: 109
removing 2165160 relations and 1765160 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11926508 relations and 12992587 unique ideals
reduce to 11638279 relations and 10928539 ideals in 9 passes
max relations containing the same ideal: 98
removing 1749450 relations and 1349450 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9888829 relations and 10928539 unique ideals
reduce to 9655326 relations and 9337132 ideals in 9 passes
max relations containing the same ideal: 88
removing 532899 relations and 441930 ideals in 90969 cliques
commencing in-memory singleton removal
begin with 9122427 relations and 9337132 unique ideals
reduce to 9099680 relations and 8872229 ideals in 7 passes
max relations containing the same ideal: 85
relations with 0 large ideals: 4001
relations with 1 large ideals: 7410
relations with 2 large ideals: 68404
relations with 3 large ideals: 351470
relations with 4 large ideals: 1077112
relations with 5 large ideals: 2056891
relations with 6 large ideals: 2576596
relations with 7+ large ideals: 2957796
commencing 2-way merge
reduce to 5650433 relation sets and 5422982 unique ideals
commencing full merge
memory use: 645.9 MB
found 2644325 cycles, need 2621182
weight of 2621182 cycles is about 236179919 (90.10/cycle)
distribution of cycle lengths:
1 relations: 226128
2 relations: 227982
3 relations: 237663
4 relations: 226440
5 relations: 218642
6 relations: 199595
7 relations: 186055
8 relations: 167292
9 relations: 149357
10+ relations: 782028
heaviest cycle: 27 relations
commencing cycle optimization
start with 19341697 relations
pruned 653474 relations
memory use: 570.1 MB
distribution of cycle lengths:
1 relations: 226128
2 relations: 233585
3 relations: 246709
4 relations: 234296
5 relations: 226376
6 relations: 205381
7 relations: 191550
8 relations: 171243
9 relations: 151959
10+ relations: 733955
heaviest cycle: 27 relations
RelProcTime: 1039
elapsed time 00:17:20


Msieve v. 1.54 (SVN 1034)
random seeds: b5c54720 7646f0c7
factoring 176082008707865447020295542264229458925863776836611450340222310721972448753067474401439724332718101962723935366128347496330471531888095184656091538273493 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 71
A1: 0
A2: 0
A3: 0
A4: 0
A5: 19
skew 1.00, size 8.515e-14, alpha 1.377, combined = 1.806e-11 rroots = 1

commencing linear algebra
read 2621182 cycles
cycles contain 8941734 unique relations
read 8941734 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1128.2 MB
read 2621182 cycles
matrix is 2621005 x 2621182 (963.6 MB) with weight 281637320 (107.45/col)
sparse part has weight 223781478 (85.37/col)
filtering completed in 2 passes
matrix is 2620281 x 2620458 (963.6 MB) with weight 281611587 (107.47/col)
sparse part has weight 223772323 (85.39/col)
matrix starts at (0, 0)
matrix is 2620281 x 2620458 (963.6 MB) with weight 281611587 (107.47/col)
sparse part has weight 223772323 (85.39/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2620233 x 2620458 (915.0 MB) with weight 231252716 (88.25/col)
sparse part has weight 213655109 (81.53/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 873.4 MB
linear algebra at 0.1%, ETA 3h20m
checkpointing every 820000 dimensions
lanczos halted after 41437 iterations (dim = 2620233)
recovered 38 nontrivial dependencies
BLanczosTime: 11990
elapsed time 03:19:51


Msieve v. 1.54 (SVN 1034)
random seeds: d92caf1f 82c2f74d
factoring 176082008707865447020295542264229458925863776836611450340222310721972448753067474401439724332718101962723935366128347496330471531888095184656091538273493 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 71
A1: 0
A2: 0
A3: 0
A4: 0
A5: 19
skew 1.00, size 8.515e-14, alpha 1.377, combined = 1.806e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1310871 cycles
cycles contain 4472140 unique relations
read 4472140 relations
multiplying 4472140 relations
multiply complete, coefficients have about 120.22 million bits
initial square root is modulo 425939251
sqrtTime: 228
p75 factor: 955725333099847413516352312488165284859321105489610524437865588015327037531
p78 factor: 184239135041813991465977458776315089205035002572068254703784364961095943093903
elapsed time 00:03:49

CADO-NFS/Msieve

3015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873017<196>

4024550742728356898279108029508093226251113429243623259829018016784236730049498559965681<88>
749368863424609268346748573675398417191779704699583690103757751394161833140023105513882632166295016315653257<108>

Number: 21119_196
N=3015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873017
  ( 196 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=4024550742728356898279108029508093226251113429243623259829018016784236730049498559965681
 r2=749368863424609268346748573675398417191779704699583690103757751394161833140023105513882632166295016315653257
Version: 
Total time: 966.43 hours.
Scaled time: 1823.66 units (timescale=1.887).
Factorization parameters were as follows:
n: 3015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873017
m: 1000000000000000000000000000000000000000
deg: 5
c5: 190
c0: 71
skew: 0.82
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6800000, 17400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2466460 x 2466708
Total sieving time: 966.43 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,197,5,0,0,0,0,0,0,0,0,13600000,13600000,28,28,55,55,2.5,2.5,100000
total time: 966.43 hours.
 --------- CPU info (if available) ----------

161884805798610897409684745476963080886589641228498308803598132836685150077073884363496037888896995571664560666471563320366624776966051707278460855217539221903017895570543363<174>

4394727076107188783035248450833056223<37>
2630452988043677201659363270766094737295715765319670427641851<61>
14003726970117012853372472596713525782915009679738029012517561969575483101831<77>

161884805798610897409684745476963080886589641228498308803598132836685150077073884363496037888896995571664560666471563320366624776966051707278460855217539221903017895570543363=4394727076107188783035248450833056223*2630452988043677201659363270766094737295715765319670427641851*14003726970117012853372472596713525782915009679738029012517561969575483101831

cado polynomial
n: 161884805798610897409684745476963080886589641228498308803598132836685150077073884363496037888896995571664560666471563320366624776966051707278460855217539221903017895570543363
skew: 1.25
type: snfs
c0: 71
c6: 19
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 19*x^6+71
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14700000
tasks.lim1 = 14700000
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: 2630452988043677201659363270766094737295715765319670427641851 4394727076107188783035248450833056223 14003726970117012853372472596713525782915009679738029012517561969575483101831
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.44/3.33552
Info:Generate Free Relations: Total cpu/real time for freerel: 167.59/42.4474
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28338495
Info:Lattice Sieving: Average J: 1893.23 for 3418501 special-q, max bucket fill -bkmult 1.0,1s:1.162860
Info:Lattice Sieving: Total time: 1.10889e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.65/143.715
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 142.70000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 490.12/458.714
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 397.59999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 421.78/477.505
Info:Filtering - Merging: Merged matrix has 2606505 rows and total weight 446242891 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 364.76/163.208
Info:Filtering - Merging: Total cpu/real time for replay: 101.3/88.1493
Info:Linear Algebra: Total cpu/real time for bwc: 125639/32159.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 21001.66, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (81920 iterations)
Info:Linear Algebra: Lingen CPU time 528.2, WCT time 154.8
Info:Linear Algebra: Mksol: WCT time 10725.73, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40960 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 89.72/38.318
Info:Square Root: Total cpu/real time for sqrt: 1353.45/400.239
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.18689e+06/102548
Info:root: Cleaning up computation data in /tmp/cado.4refg79l
2630452988043677201659363270766094737295715765319670427641851 4394727076107188783035248450833056223 14003726970117012853372472596713525782915009679738029012517561969575483101831

cado-nfs-3.0.0

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

12176073442828838916489585663825686877691208405171244177840342090972165166285752671848915697988423788460624815455099220159887054238603545769024806500485238002922219361<167>

15307963848554646115204212482276612646767064308767653958119917402172987735259<77>
795407773580448103294342081562863654165342487966718397818263036890001846777292720435512179<90>

12176073442828838916489585663825686877691208405171244177840342090972165166285752671848915697988423788460624815455099220159887054238603545769024806500485238002922219361=15307963848554646115204212482276612646767064308767653958119917402172987735259*795407773580448103294342081562863654165342487966718397818263036890001846777292720435512179

cado polynomial
n: 12176073442828838916489585663825686877691208405171244177840342090972165166285752671848915697988423788460624815455099220159887054238603545769024806500485238002922219361
skew: 1.03
type: snfs
c0: 355
c5: 304
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 304*x^5+355
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15700000
tasks.lim1 = 15700000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 15307963848554646115204212482276612646767064308767653958119917402172987735259 795407773580448103294342081562863654165342487966718397818263036890001846777292720435512179
Info:Square Root: Total cpu/real time for sqrt: 1148.75/364.756
Info:Square Root: Total cpu/real time for sqrt: 1148.75/364.756
Info:Generate Free Relations: Total cpu/real time for freerel: 242.81/63.0897
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 216.9/252.903
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 252.20000000000002s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.63/2.98678
Info:Filtering - Singleton removal: Total cpu/real time for purge: 724.49/854.139
Info:Filtering - Merging: Merged matrix has 3794061 rows and total weight 646416928 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1087.68/299.758
Info:Filtering - Merging: Total cpu/real time for replay: 151.82/133.78
Info:Linear Algebra: Total cpu/real time for bwc: 270283/69184
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 174331.59, WCT time 44485.36, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (118784 iterations)
Info:Linear Algebra: Lingen CPU time 841.6, WCT time 213.61
Info:Linear Algebra: Mksol: CPU time 93566.12,  WCT time 23905.76, iteration CPU time 0.38, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (59392 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 136.62/57.7108
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50136175
Info:Lattice Sieving: Average J: 1894.01 for 5520770 special-q, max bucket fill -bkmult 1.0,1s:1.132840
Info:Lattice Sieving: Total time: 1.4357e+06s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 967.44/979.856
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 794.0999999999999s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.97779e+06/185868
15307963848554646115204212482276612646767064308767653958119917402172987735259 795407773580448103294342081562863654165342487966718397818263036890001846777292720435512179

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)

432136876925912569651150439173034958771121373662998668084914213121049648890579467196603773693299533467560120068123391338710823836050195125787998812536622136019533573181408113<174>

8284751973862666328776621046483070535592987<43>
52160508641568171078210696852809116577452363304736199958247591752846576079643585260273558009679536177150706273663910679089888915299<131>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1461433979
Step 1 took 87981ms
Step 2 took 29839ms
********** Factor found in step 2: 8284751973862666328776621046483070535592987
Found probable prime factor of 43 digits: 8284751973862666328776621046483070535592987

8784579582171346591568645992578585656494312048762278661071386759843804847052408417304803857653493188461230862214114609451088600461553418641015183315211399443656667<163>

563625760448768602274840695784136759252004906680466892137032510223100269489739<78>
15585837622426824541286994475482393881184986379869807919838749615880458305322830629553<86>

Number: n
N=8784579582171346591568645992578585656494312048762278661071386759843804847052408417304803857653493188461230862214114609451088600461553418641015183315211399443656667  ( 163 digits)
SNFS difficulty: 204 digits.
Divisors found:

Tue Sep 12 04:00:30 2023  prp78 factor: 563625760448768602274840695784136759252004906680466892137032510223100269489739
Tue Sep 12 04:00:30 2023  prp86 factor: 15585837622426824541286994475482393881184986379869807919838749615880458305322830629553
Tue Sep 12 04:00:30 2023  elapsed time 04:07:43 (Msieve 1.44 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
#
# N = 19x10^203+71 = 21(202)9
#
n: 8784579582171346591568645992578585656494312048762278661071386759843804847052408417304803857653493188461230862214114609451088600461553418641015183315211399443656667
m: 10000000000000000000000000000000000000000
deg: 5
c5: 19000
c0: 71
skew: 0.33
# Murphy_E = 6.895e-12
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3592846 hash collisions in 18086785 relations (15051736 unique)
Msieve: matrix is 2657049 x 2657274 (751.6 MB)

Sieving start time: 2023/09/11 02:53:50
Sieving end time  : 2023/09/11 23:52:19

Total sieving time: 20hrs 58min 29secs.

Total relation processing time: 3hrs 38min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 24min 28sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17800000,17800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

57636098192451685761970211612086549883432196411659527608565381064125748902762100207255644499500819295349308670097441599974385586062442350873495386827328405877769<161>

133002463799867588220167500173775320067795666609966504253<57>
433346094093251420576861230841403292047063646124843521914056903880144605971256394266224019392190388714173<105>

Number: n
N=57636098192451685761970211612086549883432196411659527608565381064125748902762100207255644499500819295349308670097441599974385586062442350873495386827328405877769  ( 161 digits)
SNFS difficulty: 205 digits.
Divisors found:

Tue Nov 28 00:21:09 2023  prp57 factor: 133002463799867588220167500173775320067795666609966504253
Tue Nov 28 00:21:09 2023  prp105 factor: 433346094093251420576861230841403292047063646124843521914056903880144605971256394266224019392190388714173
Tue Nov 28 00:21:09 2023  elapsed time 02:35:39 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
#
# N = 19x10^204+71 = 21(203)9
#
n: 57636098192451685761970211612086549883432196411659527608565381064125748902762100207255644499500819295349308670097441599974385586062442350873495386827328405877769
m: 10000000000000000000000000000000000
deg: 6
c6: 19
c0: 71
skew: 1.25
# Murphy_E = 9.134e-12
type: snfs
lss: 1
rlim: 18500000
alim: 18500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18500000/18500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3615560 hash collisions in 20516580 relations (17593491 unique)
Msieve: matrix is 2221762 x 2221987 (626.0 MB)

Sieving start time: 2023/11/26 23:26:33
Sieving end time  : 2023/11/27 21:45:05

Total sieving time: 22hrs 18min 32secs.

Total relation processing time: 2hrs 26min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 8sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18500000,18500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

222009157468107191055215787039294560539741190871217347103420544228040735010153663228375242439901973717898926484451630617583922939969276792118100956053842949919655497846637688190693<180>

61296761908577159279011736562666987124590406282564354086264284413220923553<74>
3621874150533909354476865363787817519417133697261915130593334891651323831107396454895067160125756761789381<106>

Number: n
N=222009157468107191055215787039294560539741190871217347103420544228040735010153663228375242439901973717898926484451630617583922939969276792118100956053842949919655497846637688190693  ( 180 digits)
SNFS difficulty: 208 digits.
Divisors found:

Tue Sep 10 14:13:36 2024  prp74 factor: 61296761908577159279011736562666987124590406282564354086264284413220923553
Tue Sep 10 14:13:36 2024  prp106 factor: 3621874150533909354476865363787817519417133697261915130593334891651323831107396454895067160125756761789381
Tue Sep 10 14:13:36 2024  elapsed time 03:58:49 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.132).
Factorization parameters were as follows:
#
# N = 19x10^207+71 = 21(206)9
#
n: 222009157468107191055215787039294560539741190871217347103420544228040735010153663228375242439901973717898926484451630617583922939969276792118100956053842949919655497846637688190693
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1900
c0: 71
skew: 0.52
# Murphy_E = 5.035e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0:       50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 66850000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8119122 hash collisions in 26259864 relations (16172752 unique)
Msieve: matrix is 2696805 x 2697030 (762.0 MB)

Sieving start time: 2024/09/08 21:41:27
Sieving end time  : 2024/09/10 10:08:31

Total sieving time: 36hrs 27min 4secs.

Total relation processing time: 3hrs 45min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 4sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

557525338717900493139107516738628481945110207702904172337903829648349459627339473838972614874694678573133761779202775304344706414775742063713498551900698691006224495010047433<174>

1565020757676074348378567050326349223<37>
356241497745869676465360716314029132065130267824520997493461240559628907957190666681162641454484009515694231964472829117739451705628096271<138>

#
# N = 19x10^208+71 = 21(207)9
#
n: 557525338717900493139107516738628481945110207702904172337903829648349459627339473838972614874694678573133761779202775304344706414775742063713498551900698691006224495010047433
m: 50000000000000000000000000000000000
deg: 6
c6: 304
c0: 1775
skew: 1.34
# Murphy_E = 4.769e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 557525338717900493139107516738628481945110207702904172337903829648349459627339473838972614874694678573133761779202775304344706414775742063713498551900698691006224495010047433 (174 digits)
Using B1=35230000, B2=192388936756, polynomial Dickson(12), sigma=1:517483573
Step 1 took 379625ms
Step 2 took 106281ms
********** Factor found in step 2: 1565020757676074348378567050326349223
Found probable prime factor of 37 digits: 1565020757676074348378567050326349223
Probable prime cofactor 356241497745869676465360716314029132065130267824520997493461240559628907957190666681162641454484009515694231964472829117739451705628096271 has 138 digits

109850513285115997661334696565022414171109394766810533680059655116768448701918508980601441486396536743690079338834215627147622941515554768882117432898711079976837219592127396251052753612616333<192>

188152002046524623797965198982143346968948481140742837530905061027745907006496005230033<87>
583839194323072357141045228292225332050238920277730761940946654666030159933127733254099738903653131951101<105>

Number: n
N=109850513285115997661334696565022414171109394766810533680059655116768448701918508980601441486396536743690079338834215627147622941515554768882117432898711079976837219592127396251052753612616333
  ( 192 digits)
SNFS difficulty: 210 digits.
Divisors found:

Sat Jul 17 12:55:58 2021  p87 factor: 188152002046524623797965198982143346968948481140742837530905061027745907006496005230033
Sat Jul 17 12:55:58 2021  p105 factor: 583839194323072357141045228292225332050238920277730761940946654666030159933127733254099738903653131951101
Sat Jul 17 12:55:58 2021  elapsed time 04:38:18 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 19x10^209+71 = 21(208)9
#
n: 109850513285115997661334696565022414171109394766810533680059655116768448701918508980601441486396536743690079338834215627147622941515554768882117432898711079976837219592127396251052753612616333
m: 500000000000000000000000000000000000000000
deg: 5
c5: 304
c0: 355
skew: 1.03
# Murphy_E = 3.901e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 67500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8686011 hash collisions in 57011367 relations (50236363 unique)
Msieve: matrix is 3321901 x 3322126 (1165.9 MB)

Sieving start time : 2021/07/16 05:46:08
Sieving end time  : 2021/07/17 08:16:07

Total sieving time: 26hrs 29min 59secs.

Total relation processing time: 4hrs 12min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 50sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472)
[    0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)

176123881440799892330959738211488921775097087867521398373288649687909849197290707840302093020850391893015983063482876937508232411532621349538301552682503491049401687349534541766859<180>

3067395695812089226588829600480695158446987526316505962102864495877183317338292316551772095363911866310371418245635265193185015372562526417567389306264627829217<160>

683321137635052116335291394392438001326089685960612704215526821933221695401704742337000563169711140480063471120994363823322669094962641705134250408043073143690520423143511935862574835411633176317<195>

342812080151117870291026895389438897<36>

1993281967583614878753828640907985333719275948378236356590185566413652180200085970019916946743396511944887464386059092255714769004007596991254656467009230638861<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=671254953
Step 1 took 29868ms
Step 2 took 11800ms
********** Factor found in step 2: 342812080151117870291026895389438897
Found probable prime factor of 36 digits: 342812080151117870291026895389438897

20560908647071608548273338774413077020044758283349972024271617927805764319874287569559736822427486577337113635733334433666554923154248434939441151202753109145475843474957341934137701<182>

478836889673378152372702756527692756132055631960696962876098336894908549463880697063549258130590348136142644753650192549212244688411267059260239109870221599238901333741585564967<177>

6575664363387012009957808685890018216454076227127935324440031333267767323896223100122959291483443553185261327516506222901981541927172079644439<142>

2189725873107277675925282932780804651<37>
3002962354395518067519834097005512424649486493016870093580376928529710475416891536757031324422326144955589<106>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3543440760
Step 1 took 16489ms
Step 2 took 6982ms
********** Factor found in step 2: 2189725873107277675925282932780804651
Found probable prime factor of 37 digits: 2189725873107277675925282932780804651

1400796605028568948745310850172410426129538419485602072055536625309927271753219792616908904535780810539378125182070854420822420888797896199666702747201399351559976356533422772600890152460670000263603821109<205>

79814748343994757611166305741049305685281<41>

17550598530878717567144294391927975748577912326956649843772912589435436731156994338126469953669029874331691833903002551522157400839974447613459139241087222048663189<164>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3217544157
Step 1 took 83838ms
Step 2 took 29955ms
********** Factor found in step 2: 79814748343994757611166305741049305685281
Found probable prime factor of 41 digits: 79814748343994757611166305741049305685281

17550598530878717567144294391927975748577912326956649843772912589435436731156994338126469953669029874331691833903002551522157400839974447613459139241087222048663189<164>

2389222993390623827313229641185751889918078671702640522481<58>
7345734818151944060940874703032757982662867345457643322110284557679514588170354353127266475555803595652069<106>

Number: 21119_220
N = 17550598530878717567144294391927975748577912326956649843772912589435436731156994338126469953669029874331691833903002551522157400839974447613459139241087222048663189 (164 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=2389222993390623827313229641185751889918078671702640522481 (pp58)
r2=7345734818151944060940874703032757982662867345457643322110284557679514588170354353127266475555803595652069 (pp106)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 39.35 hours.
Factorization parameters were as follows:
n: 17550598530878717567144294391927975748577912326956649843772912589435436731156994338126469953669029874331691833903002551522157400839974447613459139241087222048663189
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 19
c0: 71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30187637
Relations: 7337456 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.71 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 6696606 x 6696831
Matrix solve time: 19.28 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 39.35 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

316348127964260240813449979644944334894356482966346608948806996385808534604766732583639416307188345813750336430634855289421189738370509480911989539560985784674211313227080182581156718109575949889883318065489<207>

29338429285693433925934140836846839<35>
1248904345700532425845374482368685166792758527<46>

8633745309037918507489741523752733986286145573866142197854321676122880914722763632786133409854372060094548948646682368490613513<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=450050019
Step 1 took 28586ms
Step 2 took 9799ms
********** Factor found in step 2: 29338429285693433925934140836846839
Found probable prime factor of 35 digits: 29338429285693433925934140836846839

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3944897845
Step 1 took 23070ms
Step 2 took 9471ms
********** Factor found in step 2: 1248904345700532425845374482368685166792758527
Found probable prime factor of 46 digits: 1248904345700532425845374482368685166792758527

8633745309037918507489741523752733986286145573866142197854321676122880914722763632786133409854372060094548948646682368490613513<127>

3449824883542127499958764919282042398841605742422889<52>
2502661903282804012003234964586773213808031803093982811988742110351227219617<76>

Sun Mar 31 06:13:49 2013  commencing relation filtering
Sun Mar 31 06:13:49 2013  estimated available RAM is 2006.1 MB
Sun Mar 31 06:13:49 2013  commencing duplicate removal, pass 1
Sun Mar 31 06:18:13 2013  found 1644909 hash collisions in 12053333 relations
Sun Mar 31 06:19:00 2013  added 53 free relations
Sun Mar 31 06:19:00 2013  commencing duplicate removal, pass 2
Sun Mar 31 06:19:12 2013  found 1402098 duplicates and 10651288 unique relations
Sun Mar 31 06:19:12 2013  memory use: 49.3 MB
Sun Mar 31 06:19:12 2013  reading ideals above 720000
Sun Mar 31 06:19:13 2013  commencing singleton removal, initial pass
Sun Mar 31 06:23:57 2013  memory use: 344.5 MB
Sun Mar 31 06:23:57 2013  reading all ideals from disk
Sun Mar 31 06:23:58 2013  memory use: 315.8 MB
Sun Mar 31 06:24:01 2013  commencing in-memory singleton removal
Sun Mar 31 06:24:05 2013  begin with 10651288 relations and 11449555 unique ideals
Sun Mar 31 06:24:41 2013  reduce to 4451520 relations and 4252633 ideals in 21 passes
Sun Mar 31 06:24:41 2013  max relations containing the same ideal: 87
Sun Mar 31 06:24:48 2013  removing 388483 relations and 356187 ideals in 32296 cliques
Sun Mar 31 06:24:48 2013  commencing in-memory singleton removal
Sun Mar 31 06:24:50 2013  begin with 4063037 relations and 4252633 unique ideals
Sun Mar 31 06:25:03 2013  reduce to 4037206 relations and 3870325 ideals in 10 passes
Sun Mar 31 06:25:03 2013  max relations containing the same ideal: 79
Sun Mar 31 06:25:09 2013  removing 282060 relations and 249764 ideals in 32296 cliques
Sun Mar 31 06:25:10 2013  commencing in-memory singleton removal
Sun Mar 31 06:25:11 2013  begin with 3755146 relations and 3870325 unique ideals
Sun Mar 31 06:25:21 2013  reduce to 3740383 relations and 3605679 ideals in 8 passes
Sun Mar 31 06:25:21 2013  max relations containing the same ideal: 76
Sun Mar 31 06:25:28 2013  relations with 0 large ideals: 479
Sun Mar 31 06:25:28 2013  relations with 1 large ideals: 2210
Sun Mar 31 06:25:28 2013  relations with 2 large ideals: 31440
Sun Mar 31 06:25:28 2013  relations with 3 large ideals: 186253
Sun Mar 31 06:25:28 2013  relations with 4 large ideals: 579659
Sun Mar 31 06:25:28 2013  relations with 5 large ideals: 1018387
Sun Mar 31 06:25:28 2013  relations with 6 large ideals: 1046773
Sun Mar 31 06:25:28 2013  relations with 7+ large ideals: 875182
Sun Mar 31 06:25:28 2013  commencing 2-way merge
Sun Mar 31 06:25:37 2013  reduce to 2174700 relation sets and 2039996 unique ideals
Sun Mar 31 06:25:37 2013  commencing full merge
Sun Mar 31 06:27:03 2013  memory use: 232.6 MB
Sun Mar 31 06:27:04 2013  found 1084491 cycles, need 1068196
Sun Mar 31 06:27:05 2013  weight of 1068196 cycles is about 75001703 (70.21/cycle)
Sun Mar 31 06:27:05 2013  distribution of cycle lengths:
Sun Mar 31 06:27:05 2013  1 relations: 146984
Sun Mar 31 06:27:05 2013  2 relations: 131012
Sun Mar 31 06:27:05 2013  3 relations: 124782
Sun Mar 31 06:27:05 2013  4 relations: 108313
Sun Mar 31 06:27:05 2013  5 relations: 96426
Sun Mar 31 06:27:05 2013  6 relations: 80217
Sun Mar 31 06:27:05 2013  7 relations: 69487
Sun Mar 31 06:27:05 2013  8 relations: 58062
Sun Mar 31 06:27:05 2013  9 relations: 48968
Sun Mar 31 06:27:05 2013  10+ relations: 203945
Sun Mar 31 06:27:05 2013  heaviest cycle: 22 relations
Sun Mar 31 06:27:06 2013  commencing cycle optimization
Sun Mar 31 06:27:10 2013  start with 6245811 relations
Sun Mar 31 06:27:35 2013  pruned 134210 relations
Sun Mar 31 06:27:35 2013  memory use: 211.7 MB
Sun Mar 31 06:27:35 2013  distribution of cycle lengths:
Sun Mar 31 06:27:35 2013  1 relations: 146984
Sun Mar 31 06:27:35 2013  2 relations: 133910
Sun Mar 31 06:27:35 2013  3 relations: 128953
Sun Mar 31 06:27:35 2013  4 relations: 110457
Sun Mar 31 06:27:35 2013  5 relations: 97842
Sun Mar 31 06:27:35 2013  6 relations: 81035
Sun Mar 31 06:27:35 2013  7 relations: 69543
Sun Mar 31 06:27:35 2013  8 relations: 58011
Sun Mar 31 06:27:35 2013  9 relations: 48176
Sun Mar 31 06:27:35 2013  10+ relations: 193285
Sun Mar 31 06:27:35 2013  heaviest cycle: 22 relations
Sun Mar 31 06:27:39 2013  RelProcTime: 830
Sun Mar 31 06:27:40 2013
Sun Mar 31 06:27:40 2013  commencing linear algebra
Sun Mar 31 06:27:40 2013  read 1068196 cycles
Sun Mar 31 06:27:45 2013  cycles contain 3598742 unique relations
Sun Mar 31 06:29:07 2013  read 3598742 relations
Sun Mar 31 06:29:18 2013  using 20 quadratic characters above 134216220
Sun Mar 31 06:30:13 2013  building initial matrix
Sun Mar 31 06:31:45 2013  memory use: 461.0 MB
Sun Mar 31 06:31:47 2013  read 1068196 cycles
Sun Mar 31 06:31:48 2013  matrix is 1068009 x 1068196 (324.8 MB) with weight 102182673 (95.66/col)
Sun Mar 31 06:31:48 2013  sparse part has weight 72327456 (67.71/col)
Sun Mar 31 06:32:34 2013  filtering completed in 2 passes
Sun Mar 31 06:32:34 2013  matrix is 1065104 x 1065290 (324.5 MB) with weight 102049365 (95.79/col)
Sun Mar 31 06:32:34 2013  sparse part has weight 72282048 (67.85/col)
Sun Mar 31 06:32:42 2013  matrix starts at (0, 0)
Sun Mar 31 06:32:43 2013  matrix is 1065104 x 1065290 (324.5 MB) with weight 102049365 (95.79/col)
Sun Mar 31 06:32:43 2013  sparse part has weight 72282048 (67.85/col)
Sun Mar 31 06:32:43 2013  saving the first 48 matrix rows for later
Sun Mar 31 06:32:43 2013  matrix includes 64 packed rows
Sun Mar 31 06:32:44 2013  matrix is 1065056 x 1065290 (311.4 MB) with weight 81077012 (76.11/col)
Sun Mar 31 06:32:44 2013  sparse part has weight 70980984 (66.63/col)
Sun Mar 31 06:32:44 2013  using block size 65536 for processor cache size 2048 kB
Sun Mar 31 06:32:52 2013  commencing Lanczos iteration (8 threads)
Sun Mar 31 06:32:52 2013  memory use: 299.3 MB
Sun Mar 31 06:33:06 2013  linear algebra at 0.1%, ETA 2h32m
Sun Mar 31 06:33:11 2013  checkpointing every 410000 dimensions
Sun Mar 31 09:09:34 2013  lanczos halted after 16844 iterations (dim = 1065054)
Sun Mar 31 09:09:38 2013  recovered 29 nontrivial dependencies
Sun Mar 31 09:09:38 2013  BLanczosTime: 9718
Sun Mar 31 09:09:38 2013
Sun Mar 31 09:09:38 2013  commencing square root phase
Sun Mar 31 09:09:38 2013  reading relations for dependency 1
Sun Mar 31 09:09:38 2013  read 531988 cycles
Sun Mar 31 09:09:41 2013  cycles contain 1797524 unique relations
Sun Mar 31 09:10:24 2013  read 1797524 relations
Sun Mar 31 09:10:45 2013  multiplying 1797524 relations
Sun Mar 31 09:15:50 2013  multiply complete, coefficients have about 83.18 million bits
Sun Mar 31 09:15:52 2013  initial square root is modulo 934771
Sun Mar 31 09:22:00 2013  GCD is 1, no factor found
Sun Mar 31 09:22:00 2013  reading relations for dependency 2
Sun Mar 31 09:22:01 2013  read 533365 cycles
Sun Mar 31 09:22:03 2013  cycles contain 1799816 unique relations
Sun Mar 31 09:22:46 2013  read 1799816 relations
Sun Mar 31 09:23:07 2013  multiplying 1799816 relations
Sun Mar 31 09:28:11 2013  multiply complete, coefficients have about 83.28 million bits
Sun Mar 31 09:28:13 2013  initial square root is modulo 950993
Sun Mar 31 09:34:20 2013  sqrtTime: 1482

prp52 = 3449824883542127499958764919282042398841605742422889
prp76 = 2502661903282804012003234964586773213808031803093982811988742110351227219617
NFS elapsed time = 111349.1925 seconds.

YAFU 1.33

4902737470322779045000095205942834188952916417389623425279633694873746841005867517231949073013927523377246675748351267765713332464954229993980167966869<151>

4444692710947209289525091454575237582953389641202214946375811347<64>
1103054314249309656255723389110369974683440590926814295761726950367081523893141659321527<88>

Msieve v. 1.53 (SVN 1005)
Thu Nov 09 07:03:41 2023
random seeds: 2f75be5c 85520a8f
factoring 4902737470322779045000095205942834188952916417389623425279633694873746841005867517231949073013927523377246675748351267765713332464954229993980167966869 (151 digits)
searching for 15-digit factors
commencing number field sieve (151-digit input)
R0: -103343246984629313758552958652
R1: 24364837955404017980393
A0: 57994586801399960788010844644007783
A1: 522671367722987729718103530429
A2: -2695261296203260798804903
A3: -4198390204866137699
A4: 4668602337750
A5: 5405400
skew 604214.48, size 1.310e-014, alpha -7.473, combined = 5.252e-012 rroots = 5
 
commencing relation filtering
setting target matrix density to 130.0
estimated available RAM is 16335.2 MB
commencing duplicate removal, pass 1
error -1 reading relation 5647071
read 10M relations
error -1 reading relation 16019318
read 20M relations
read 30M relations
error -15 reading relation 30848927
read 40M relations
read 50M relations
read 60M relations
read 70M relations
read 80M relations
error -1 reading relation 81284589
read 90M relations
read 100M relations
error -9 reading relation 103615619
error -5 reading relation 105019913
read 110M relations
error -9 reading relation 118126460
error -15 reading relation 119657872
read 120M relations
error -15 reading relation 128691353
read 130M relations
error -15 reading relation 136838543
error -9 reading relation 137061557
read 140M relations
read 150M relations
read 160M relations
error -15 reading relation 164230833
read 170M relations
error -1 reading relation 170953599
skipped 7 relations with composite factors
found 18286144 hash collisions in 171198964 relations
added 121573 free relations
commencing duplicate removal, pass 2
found 14191943 duplicates and 157128594 unique relations
memory use: 788.8 MB
reading ideals above 51314688
commencing singleton removal, initial pass
memory use: 3012.0 MB
reading all ideals from disk
memory use: 2730.9 MB
commencing in-memory singleton removal
begin with 157128594 relations and 135251325 unique ideals
reduce to 87672954 relations and 57797685 ideals in 12 passes
max relations containing the same ideal: 30
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1506.0 MB
reading all ideals from disk
memory use: 3115.8 MB
keeping 63488635 ideals with weight <= 200, target excess is 457059
commencing in-memory singleton removal
begin with 87672955 relations and 63488635 unique ideals
reduce to 87672748 relations and 63488427 ideals in 5 passes
max relations containing the same ideal: 200
removing 8856271 relations and 6856271 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 78816477 relations and 63488427 unique ideals
reduce to 78140759 relations and 55936970 ideals in 7 passes
max relations containing the same ideal: 194
removing 6893882 relations and 4893882 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 71246877 relations and 55936970 unique ideals
reduce to 70786273 relations and 50570297 ideals in 7 passes
max relations containing the same ideal: 183
removing 6352955 relations and 4352955 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 64433318 relations and 50570297 unique ideals
reduce to 64031024 relations and 45804062 ideals in 7 passes
max relations containing the same ideal: 173
removing 6059861 relations and 4059861 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 57971163 relations and 45804062 unique ideals
reduce to 57593357 relations and 41355507 ideals in 7 passes
max relations containing the same ideal: 163
removing 5868402 relations and 3868402 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 51724955 relations and 41355507 unique ideals
reduce to 51353924 relations and 37104229 ideals in 6 passes
max relations containing the same ideal: 148
removing 5733915 relations and 3733915 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 45620009 relations and 37104229 unique ideals
reduce to 45245932 relations and 32983039 ideals in 7 passes
max relations containing the same ideal: 141
removing 5630230 relations and 3630230 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 39615702 relations and 32983039 unique ideals
reduce to 39226630 relations and 28948435 ideals in 6 passes
max relations containing the same ideal: 125
removing 5550898 relations and 3550898 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 33675732 relations and 28948435 unique ideals
reduce to 33257536 relations and 24960972 ideals in 6 passes
max relations containing the same ideal: 113
removing 5487346 relations and 3487346 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 27770190 relations and 24960972 unique ideals
reduce to 27306108 relations and 20985644 ideals in 7 passes
max relations containing the same ideal: 101
removing 5436232 relations and 3436232 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 21869876 relations and 20985644 unique ideals
reduce to 21336478 relations and 16983552 ideals in 7 passes
max relations containing the same ideal: 85
removing 5390287 relations and 3390287 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 15946191 relations and 16983552 unique ideals
reduce to 15299726 relations and 12895906 ideals in 7 passes
max relations containing the same ideal: 65
removing 5021480 relations and 3147849 ideals in 1873631 cliques
commencing in-memory singleton removal
begin with 10278246 relations and 12895906 unique ideals
reduce to 9504951 relations and 8893383 ideals in 8 passes
max relations containing the same ideal: 49
removing 402770 relations and 321391 ideals in 81379 cliques
commencing in-memory singleton removal
begin with 9102181 relations and 8893383 unique ideals
reduce to 9087168 relations and 8556835 ideals in 6 passes
max relations containing the same ideal: 49
relations with 0 large ideals: 1447
relations with 1 large ideals: 13983
relations with 2 large ideals: 168304
relations with 3 large ideals: 806897
relations with 4 large ideals: 1923972
relations with 5 large ideals: 2594214
relations with 6 large ideals: 2124687
relations with 7+ large ideals: 1453664
commencing 2-way merge
reduce to 5914558 relation sets and 5384225 unique ideals
commencing full merge
memory use: 715.4 MB
found 2656321 cycles, need 2622425
weight of 2622425 cycles is about 341310580 (130.15/cycle)
distribution of cycle lengths:
1 relations: 43804
2 relations: 114253
3 relations: 157428
4 relations: 177823
5 relations: 194745
6 relations: 199943
7 relations: 201234
8 relations: 192250
9 relations: 181207
10+ relations: 1159738
heaviest cycle: 28 relations
commencing cycle optimization
start with 25088647 relations
pruned 1350542 relations
memory use: 631.5 MB
distribution of cycle lengths:
1 relations: 43804
2 relations: 117802
3 relations: 165096
4 relations: 187290
5 relations: 207342
6 relations: 212784
7 relations: 215156
8 relations: 204215
9 relations: 192247
10+ relations: 1076689
heaviest cycle: 28 relations
RelProcTime: 4616
 
commencing linear algebra
read 2622425 cycles
cycles contain 8825315 unique relations
read 8825315 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1253.3 MB
read 2622425 cycles
matrix is 2622246 x 2622425 (1314.0 MB) with weight 402278277 (153.40/col)
sparse part has weight 312987251 (119.35/col)
filtering completed in 2 passes
matrix is 2622160 x 2622339 (1314.0 MB) with weight 402271878 (153.40/col)
sparse part has weight 312983970 (119.35/col)
matrix starts at (0, 0)
matrix is 2622160 x 2622339 (1314.0 MB) with weight 402271878 (153.40/col)
sparse part has weight 312983970 (119.35/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2622112 x 2622339 (1272.9 MB) with weight 345069938 (131.59/col)
sparse part has weight 307458998 (117.25/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (4 threads)
memory use: 1042.8 MB
linear algebra at 0.1%, ETA 3h49m2622339 dimensions (0.1%, ETA 3h49m)
checkpointing every 670000 dimensions339 dimensions (0.1%, ETA 3h57m)
linear algebra completed 2622112 of 2622339 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 41469 iterations (dim = 2622112)
recovered 29 nontrivial dependencies
BLanczosTime: 13908
 
commencing square root phase
handling dependencies 1 to 64
reading relations for dependency 1
read 1311487 cycles
cycles contain 4413868 unique relations
read 4413868 relations
multiplying 4413868 relations
multiply complete, coefficients have about 247.94 million bits
initial square root is modulo 790382237
sqrtTime: 801
p64 factor: 4444692710947209289525091454575237582953389641202214946375811347
p88 factor: 1103054314249309656255723389110369974683440590926814295761726950367081523893141659321527
elapsed time 05:22:06

1159000518882060604359611302179716382828589377737167797120222327469532996509024148121459397804473872004569129648046413961896556181937533316635318163434748249760152898370688909646898347533160138628257628583<205>

14732199740187577655654044963092311676681809894779605477738913459484229253839127899057510623137234495811670505916687906234107881836189430004911482779698430165484706158406085781768715179815918683033768396126892282241746729<221>

3394217098548161809626292131112526176770052125440651051848007094495705383869297519194208047189302597870237330712508469988943007982015039171866752547220315157781662583131634929510348268643673112638690060427002240921<214>

7366604835356721890687407473667817100072525465269384731999035378699651373929606274125030636188056704590921048434081236503141218543011286359260929411306309891091297580555069376658622877960761123595383648720967569473<214>

12553052253971530050561180000119324405456114524809660718261224055343190126801598172549702315932647663947335494011283394853111408556702848336095240608427637083087949031936788980074529754195389923103273692148004108858257<218>

33845047123943253479326307720849105690652113951772023313552140828370765677655028821673249568356624765022330647429363494795736045355434523973152728112383447202618752559164210693773129600652142295933583158930589769101636381<221>

147172159113435428507223676688833455122451575699790027749087432298358664016575560934121878488173368252004068409699979851614514230713134332316098615454070091760984469916157987371183285244696484928552968082988686777<213>

7178452552317695641168047574249757254959743993713186817338607606892825703393896804077361049716451124183451022173862120817134588429090112248329120715124999527733384715941076238944238536200180594753684624132446227723183757050940566191<232>

18424720400114484209392152271847421351267034576458711150126038505735306709394700560240220917417424730854653136798071302790904984622190259547687573299164697587645557113232701368234737830619451957770303679<203>

20281346933735282817429061555005884273735867856465767448477744860434753011634810325408204729962583281089912534373917077461890407929429006123432538031740164112345972709505146839739193121565340845029698786781813<209>

230224427736796332449924085644546700491<39>

88093809736479817113625909543582617611270789958491135539054438115021358706100604322222928646921200729532278943374581729881064053469609563035615488182841135170801461687743<170>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3530944028
Step 1 took 90010ms
Step 2 took 26015ms
********** Factor found in step 2: 230224427736796332449924085644546700491
Found probable prime factor of 39 digits: 230224427736796332449924085644546700491

224049913453925970660202596961248762059344011885205582378849991751103627103187432184918703864918288012603421661880794277195043906620670952039340504487635554274574213159925306570209831171167907754581631<201>

234940120659662939464346828371257622837<39>
953646881702624760152676004251682085639152621932557136991193424957606902532600349501937705593660418358092846047549781369397935997307062906068561438949924266961763<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=519977547
Step 1 took 21859ms
Step 2 took 7572ms
********** Factor found in step 2: 234940120659662939464346828371257622837
Found probable prime factor of 39 digits: 234940120659662939464346828371257622837

652670438216829967130549959721361342676426947703294594861547017979438637158433739861236405514861727636172443046346304911800829253334858231973877128278199044731173469706339133358455119878628956525695663<201>

7580377919709847674928161143069052467<37>

86099986719634695794415803280225787150026764308977792963193168913762664597621496286174658824292317238319409689034697421165425572117109775234522182943113298223658389<164>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2068783446
Step 1 took 90049ms
Step 2 took 30526ms
********** Factor found in step 2: 7580377919709847674928161143069052467
Found probable prime factor of 37 digits: 7580377919709847674928161143069052467

414956185565301219709006460292347543015840349364266751680915456966377863785397036138354367293781408728966339812798275502961774540587855104591203320813650677828829014600902876217930194907347176280961201672259512908379<216>

1825663088028213005288541702265000973<37>
227290669503248820051881947852889130506544447126074259910553633805727345500743144621196538046530280153662498145452559775823757291863406442968257749295098527880847936561312309782023<180>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=38542110
Step 1 took 41662ms
Step 2 took 13502ms
********** Factor found in step 2: 1825663088028213005288541702265000973
Found probable prime factor of 37 digits: 1825663088028213005288541702265000973

20659279589171940819549034942382096140648276278540545074173896052369587091471989792577893870359528289831097544723267442319297095517090871434320895207790075626051493654296170688673769834337837469795563751278789426871719398076792672748343<236>

8135713942675363470535112483203412475467218180983872450147541363539695369409195822458037240522791175191769780004428241095014418707076947356378333120755970247695361966970136256321752216091680056616183946035737858207256210112009644806597<235>

71007133479056862048316401496652924559942278748331454272497014976002174318837216155467370415431888060647569965311037950336074666453575459434855785432364206515039970747211277358990028388048691134767519656660389013<212>

16482086925602967646920811692088920136007<41>
4308139727667356248584931498048837022047492524021443957897590855028060380400260473367735480078305488813274745245465712393879124040113500000374997680540592706223500975937859<172>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2963972927
Step 1 took 87104ms
Step 2 took 30388ms
********** Factor found in step 2: 16482086925602967646920811692088920136007
Found probable prime factor of 41 digits: 16482086925602967646920811692088920136007

644011144640226650841958817001248375876693096064441769973049078772176513380574056599887558729446449239390413329685573393797512220837120957340138236895192125244316375410196693822356119902423373165994192312403497<210>

1312557389366862230223897512308976009<37>
490653703874143013773453320544137343438327617395673781295538506403811714641381629806803667537281283371675453283358654676459712016627566687888078557761054023451742399255932833<174>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1190784039
Step 1 took 94420ms
Step 2 took 33246ms
********** Factor found in step 2: 1312557389366862230223897512308976009
Found probable prime factor of 37 digits: 1312557389366862230223897512308976009

1554218750554204935187193712640793898830269515471663840677165456645212856708974347036378707791716317935318281685022673668090677207160792043610086046829222034909370452394535409093604335218323493326067017561339741582173333903817<226>

383928200700181391241577627431163096733141374054644536744743754033100644976443705922879045606619095512288787581372628913894066405233594927423029312203192714221789294054095049781133172435047<189>

1487714221060239114825698618853097616760118609973792739484796735171991509066835169877388857960093240531286238565154444311333172033791471012671410126009394523802253025736673016857368139582046264780245034362283469067680817960938888614836269219897473<247>

2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<253>

1087578335999404423668929563256008458146380105443318240076043946558020847414465430243724487924865350037<103>
1941111772119987494251216830920448674800068100090322054144084579906696707336306917609394771450821350134036532554113939572978723617314751053647958936787<151>

p103 factor: 1087578335999404423668929563256008458146380105443318240076043946558020847414465430243724487924865350037
p151 factor: 1941111772119987494251216830920448674800068100090322054144084579906696707336306917609394771450821350134036532554113939572978723617314751053647958936787
Complete post-processing log at: https://pastebin.com/A5ZVSUcJ

GGNFS-lasieve4I14e + Msieve

Core i5-2500K, Linux-OpenSUSE

660240098049129508180201067434491151218959593653494181721009639157936728843909163472320823868444033010614923302687767940200316845748105892781873003859624615279832340714470134734154324520518003531242040197502137961685919615420567730035468793056776131<249>

1881655476965779301754594148668081174848105913493384977219447648480596821096264171110568915650665378161523938657982369417995592262233407270023178844891708468769357298916661729670633115233531873179539369645699841613449683248499285855083903005388109<247>

78811362229051359328225058148839807<35>
23875433995127234200309671920102706130776416373908651484456871003797494926644050271207960080484321442402082919711545442664980526200575643890463330534007367395858222116856889102981984295910935214170526918317780787<212>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=336705702
Step 1 took 128313ms
Step 2 took 39844ms
********** Factor found in step 2: 78811362229051359328225058148839807
Found probable prime factor of 35 digits: 78811362229051359328225058148839807

90719104015692196522280342908840008716560759401786907071581726768538673398322229872741447081502679787437262993605009674071524052115231246889415050481676064784286025352940434405684059713631285273570245884936730452443299276135078283534007<236>

102188446251566441314250985580672399976335307183847771485120824391844286321269718336372095024498335403993954746653328385261199046958280222232978900775018689728985483862293001167099622978416724483813887947679515519197982047103495382695731212116322721869941<255>

647982659629343073508554597158508048301023059237111666677801737107139325271958407507311554970365826079346506622998364938534087177261109827252836282341637309556489530477664885215686638423285211856037774360590065696676868335138118509978334426940488859877<252>

23456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456791<260>

62176306089796088624295459539973302922511088694196219071159397688637135763691981678650933265618152015036814482189201311621395915721082766776605791885111118464387520966095378515239668048555904725777482668744376097118934357<221>