Table of contents 目次

19×10102+719

c81

name 名前Robert Backstrom
date 日付June 10, 2008 16:12:58 UTC 2008 年 6 月 11 日 (水) 1 時 12 分 58 秒 (日本時間)
composite number 合成数
249242805169099218110483718489943670020768006417293937568393361947376351088800721<81>
prime factors 素因数
980156943101230219900359753653<30>
254288669710884780374892372181242723179308431072557<51>
factorization results 素因数分解の結果
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

19×10108+719

c86

name 名前Robert Backstrom
date 日付June 10, 2008 18:33:27 UTC 2008 年 6 月 11 日 (水) 3 時 33 分 27 秒 (日本時間)
composite number 合成数
13394381603467477755945469483667385640135036286832826097295226247555419210533528815089<86>
prime factors 素因数
450603619990888308306431347840461433<36>
29725419435685684489852635686211058845046578616633<50>
factorization results 素因数分解の結果
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+

19×10112+719

c106

name 名前Sinkiti Sibata
date 日付June 11, 2008 04:18:56 UTC 2008 年 6 月 11 日 (水) 13 時 18 分 56 秒 (日本時間)
composite number 合成数
5334136935099808580284923205132405491095318135366526656801882265322610145927107109722326448450493580324087<106>
prime factors 素因数
192943753209624529109523104943977732198649113<45>
27646072217246202886997945868549461853782928111418179513056399<62>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

19×10114+719

c110

name 名前Sinkiti Sibata
date 日付June 11, 2008 06:59:43 UTC 2008 年 6 月 11 日 (水) 15 時 59 分 43 秒 (日本時間)
composite number 合成数
41851418652957022998455902922330375098846442739549810897668875981030293818986006207226198106994253139407075533<110>
prime factors 素因数
8668069487682906600652956127049454670277290771<46>
4828228328398470071417068118715193261966974633062620905686001823<64>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

19×10124+719

c100

name 名前Sinkiti Sibata
date 日付June 11, 2008 11:39:07 UTC 2008 年 6 月 11 日 (水) 20 時 39 分 7 秒 (日本時間)
composite number 合成数
5808029987541690152973383463236766090906255370289806657893139849685671618439794418005456394778248453<100>
prime factors 素因数
1253918638360010980630156828555485474091<40>
4631903386600872960769452069902828289819525693679554924387983<61>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

19×10125+719

c123

name 名前Robert Backstrom
date 日付June 10, 2008 23:17:11 UTC 2008 年 6 月 11 日 (水) 8 時 17 分 11 秒 (日本時間)
composite number 合成数
219222337602399907695857851621091496480904580593054113303334487135110188069689627322026075920156917041652244144455982462213<123>
prime factors 素因数
1413942013724739012664646934719861<34>
155043371987302231298493040834790288681640158330016874349793071994628235823840962820138833<90>
factorization results 素因数分解の結果
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

19×10126+719

c87

name 名前Robert Backstrom
date 日付June 11, 2008 07:51:25 UTC 2008 年 6 月 11 日 (水) 16 時 51 分 25 秒 (日本時間)
composite number 合成数
293389970794478209096552836142598741462779930913674529100775827845706558862965578857763<87>
prime factors 素因数
5784939440621316381615971654557277699<37>
50716169772551226915531892187055375653717528087137<50>
factorization results 素因数分解の結果
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+

19×10132+719

c99

name 名前Sinkiti Sibata
date 日付June 12, 2008 04:57:57 UTC 2008 年 6 月 12 日 (木) 13 時 57 分 57 秒 (日本時間)
composite number 合成数
346468070147833660032137932254250415307534601826032743066574670396429414515780339704184084723327963<99>
prime factors 素因数
24188464339752121280456516669389<32>
14323690221972322118217528148496229598451511026018742414164385860167<68>
factorization results 素因数分解の結果
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
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

19×10134+719

c116

name 名前Sinkiti Sibata
date 日付June 11, 2008 04:40:04 UTC 2008 年 6 月 11 日 (水) 13 時 40 分 4 秒 (日本時間)
composite number 合成数
17099634862527007633774249557468016889650724451448309765314701595321185322430397101421106833371432310268550373729429<116>
prime factors 素因数
10698206939899017923623609042878690937<38>
1598364563201131516546710489349534778051921624547529288544666400228846159595517<79>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

19×10136+719

c90

name 名前Sinkiti Sibata
date 日付June 11, 2008 01:17:56 UTC 2008 年 6 月 11 日 (水) 10 時 17 分 56 秒 (日本時間)
composite number 合成数
252065165535361002452532784148597056128711426018622824885723522262738501167092198881757897<90>
prime factors 素因数
133603222497974916207566236359895495592119<42>
1886669803486077342881805363901015169384078657663<49>
factorization results 素因数分解の結果
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
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

19×10137+719

c89

name 名前Sinkiti Sibata
date 日付June 10, 2008 23:03:43 UTC 2008 年 6 月 11 日 (水) 8 時 3 分 43 秒 (日本時間)
composite number 合成数
15103390945624425556975625569909307003410456545785172300761814910792315112232985777664387<89>
prime factors 素因数
4250715591941833113363929326424495917<37>
3553140787460875292162304042118460409815632172652911<52>
factorization results 素因数分解の結果
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
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

19×10138+719

c115

name 名前Sinkiti Sibata
date 日付June 11, 2008 13:38:59 UTC 2008 年 6 月 11 日 (水) 22 時 38 分 59 秒 (日本時間)
composite number 合成数
2224234543658585009229052576859222565158549335853153762487314124689686259971732751014408988258302505370921285391561<115>
prime factors 素因数
1603870692511431841860591622009493<34>
1386791687162605489137851193896744499618556517677168287616017596826355620762034277<82>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

19×10141+719

c114

name 名前Sinkiti Sibata
date 日付June 11, 2008 23:36:49 UTC 2008 年 6 月 12 日 (木) 8 時 36 分 49 秒 (日本時間)
composite number 合成数
124612176564047940613189812872850872746123053929396105024813316924095670437315190625530573100811253768993389660371<114>
prime factors 素因数
650231791063999630808600501041274974102363870523<48>
191642700766968311023323590286528352074786023369003402963652968777<66>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

19×10142+719

c128

name 名前Sinkiti Sibata
date 日付June 12, 2008 08:31:47 UTC 2008 年 6 月 12 日 (木) 17 時 31 分 47 秒 (日本時間)
composite number 合成数
13237546736842859505402038877708992687784678505751658372756797808700605511230085366853429133351356265970701486042520921806832811<128>
prime factors 素因数
16065327225299271269093343103523<32>
35702000102923126067043311456968363449168793523<47>
23079446206702040089175443834158184126317648059459<50>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

19×10143+719

c141

name 名前Sinkiti Sibata
date 日付June 12, 2008 21:14:17 UTC 2008 年 6 月 13 日 (金) 6 時 14 分 17 秒 (日本時間)
composite number 合成数
111169621438183839447662512433444502954771517172780995845766777836288104850506114329179100111169621438183839447662512433444502954771517172781<141>
prime factors 素因数
773537122612256721050443498792233896398463284176095668716900509<63>
143715948709430888732671112113368641464136741032198092002947921700020431129809<78>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

19×10144+719

c138

name 名前Sinkiti Sibata
date 日付June 13, 2008 09:53:52 UTC 2008 年 6 月 13 日 (金) 18 時 53 分 52 秒 (日本時間)
composite number 合成数
234320744919953998644664146041415550365721035702132307679367874653003350034359437441275675680208765477825568110337741658838195568952782483<138>
prime factors 素因数
279576733790481204623483289144205990927420007608424299189687<60>
838126770218144510957697953206157504729388016127259238924760043036739444411909<78>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

19×10147+719

c142

name 名前Sinkiti Sibata
date 日付June 14, 2008 03:54:36 UTC 2008 年 6 月 14 日 (土) 12 時 54 分 36 秒 (日本時間)
composite number 合成数
3103073823269493305608185320794955251225673330272722625540159409801891601138730101334958690738026912142670841770836038315449012332431972047511<142>
prime factors 素因数
3726369897506049222488673132552815264516392147<46>
832733708305847517955059751402619654460601103742913699994890502633673002797961698240750355056813<96>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

19×10148+719

c135

name 名前Sinkiti Sibata
date 日付June 15, 2008 01:56:22 UTC 2008 年 6 月 15 日 (日) 10 時 56 分 22 秒 (日本時間)
composite number 合成数
153876605963533264497237871153137488274836088714222638533355576644654978814571391424895423745228899363662939247215583153132173003687803<135>
prime factors 素因数
1665401849509587677728439136819520339<37>
396630940851504929651395216684056457143555288557<48>
232952280196970654163617482290594633816545512331261<51>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

19×10151+719

c131

name 名前Sinkiti Sibata
date 日付June 15, 2008 21:42:59 UTC 2008 年 6 月 16 日 (月) 6 時 42 分 59 秒 (日本時間)
composite number 合成数
30299554022614350384504348767263079177531164143037702442023852003276625984676290612901044365561203878923175331353497936833698384581<131>
prime factors 素因数
123898729947282037215260261192283618233521<42>
244550965417535587962509097180011853513331875232412883300691306397524357045415864687563861<90>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

19×10152+719

c145

name 名前Sinkiti Sibata
date 日付June 16, 2008 21:34:12 UTC 2008 年 6 月 17 日 (火) 6 時 34 分 12 秒 (日本時間)
composite number 合成数
4268621886005792021144542126464362252040163679003165895314335328381610626839328108400852990174236765408001271564047120580100681827647844634528873<145>
prime factors 素因数
4901819949628641796466086337480125061060531270983<49>
870823883755497713499331899758122000845092549202887776729665908427056553088983618255881653274831<96>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

19×10153+719

c133

name 名前Sinkiti Sibata
date 日付June 20, 2008 06:09:25 UTC 2008 年 6 月 20 日 (金) 15 時 9 分 25 秒 (日本時間)
composite number 合成数
3534111301396561829241944371109709550951878020320586502879799576712460981422857149193925613075150874769889794783911449876155375903171<133>
prime factors 素因数
2330871598302278901853376041628293375034044869755858891<55>
1516218784411238460729939570299747737958774664936753931542252342962491493263081<79>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

19×10154+719

c130

name 名前Robert Backstrom
date 日付June 19, 2008 14:23:35 UTC 2008 年 6 月 19 日 (木) 23 時 23 分 35 秒 (日本時間)
composite number 合成数
3286507595284397990244440725109649136011496454300802589054816534378305641090379440018700033067620390985386802795054882189796354681<130>
prime factors 素因数
1791677943138389668968679508662606052300273107<46>
1834318275709524259788133515195304765934811811430526130176162937982551937357179892483<85>
factorization results 素因数分解の結果
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+

19×10157+719

c141

name 名前Robert Backstrom
date 日付June 18, 2008 04:45:45 UTC 2008 年 6 月 18 日 (水) 13 時 45 分 45 秒 (日本時間)
composite number 合成数
955522886778041600093440240348014365106179622949600182179310014977255835521154610734965233983597443817269068745577149968079675757884258981031<141>
prime factors 素因数
77929169194250521052812225269081813650033303291080915556048887978241<68>
12261427866582958791184193364468933936256879057608293595733557701239457191<74>
factorization results 素因数分解の結果
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+

19×10158+719

c139

name 名前Robert Backstrom
date 日付June 19, 2008 08:46:37 UTC 2008 年 6 月 19 日 (木) 17 時 46 分 37 秒 (日本時間)
composite number 合成数
1603444575628166296323850859232332205498429149271953164507338103129857597627597826527727616013810322286400015061749747416092265207180448049<139>
prime factors 素因数
1552232375168401888226285240732768948412176616299065734638659<61>
1032992611981958171657311747096309357508297728486040740667074691813325998649211<79>
factorization results 素因数分解の結果
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+

19×10159+719

c137

name 名前Robert Backstrom
date 日付June 26, 2008 04:29:17 UTC 2008 年 6 月 26 日 (木) 13 時 29 分 17 秒 (日本時間)
composite number 合成数
21527588851111722002830557879225910998694697479830930289731614802312922945498898793081333700260607997346333469572376218484361244054644837<137>
prime factors 素因数
250401041858585819131096746756630366154245800973610054933853193899<66>
85972441214000396829052981243585775513440893313292234278082838842690863<71>
factorization results 素因数分解の結果
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+

19×10160+719

c137

name 名前Robert Backstrom
date 日付June 27, 2008 07:20:36 UTC 2008 年 6 月 27 日 (金) 16 時 20 分 36 秒 (日本時間)
composite number 合成数
23956883709415985088805146185238519992526664677894688593124161720632613338572606501599381490541484980237314702722541489720018966486199461<137>
prime factors 素因数
3099176592679107542715695147437752731506212235694176436016316355489<67>
7730080230344753874735172128135993331930898349569035397737365097724549<70>
factorization results 素因数分解の結果
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+

19×10161+719

c159

name 名前Robert Backstrom
date 日付June 18, 2008 11:22:19 UTC 2008 年 6 月 18 日 (水) 20 時 22 分 19 秒 (日本時間)
composite number 合成数
868770004572473708276177411979881115683584819387288523090992226794695930498399634202103337905807041609510745313214449016918152720621856424325560128029263831733<159>
prime factors 素因数
286786067147872235350150512053<30>
112622410320040502526431761387219772249611150037774127671<57>
26898121553328486879024622069541410307556323510188262663095503894721747591<74>
factorization results 素因数分解の結果
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+

19×10162+719

c161

name 名前Robert Backstrom
date 日付June 23, 2008 17:40:11 UTC 2008 年 6 月 24 日 (火) 2 時 40 分 11 秒 (日本時間)
composite number 合成数
28919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193302891933028919330289193303<161>
prime factors 素因数
43940526090123600470562056510603<32>
73998714678262655889943985399989215015429575850397477288273<59>
8894034356803247423111327983734140548254674728357494938725391032087637<70>
factorization results 素因数分解の結果
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+

19×10163+719

c133

name 名前Robert Backstrom
date 日付July 12, 2008 18:28:52 UTC 2008 年 7 月 13 日 (日) 3 時 28 分 52 秒 (日本時間)
composite number 合成数
6347216490610783077441171781434338047436822507152466738398464557918916343716774041846421465798549105708434295220219648071786733422107<133>
prime factors 素因数
1702357182418622530789291597341299637631432288875092672261013494321<67>
3728486921641779431391217242278242452352917616981245286538949510667<67>
factorization results 素因数分解の結果
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+

19×10164+719

c134

name 名前Serge Batalov
date 日付July 9, 2008 21:08:18 UTC 2008 年 7 月 10 日 (木) 6 時 8 分 18 秒 (日本時間)
composite number 合成数
45469698908481199516727249124846049133783177271867124530465321077300054016404482853634631520144827560167514096151705840653303648529847<134>
prime factors 素因数
6742027040094211846211453572461118212957579443337461963393<58>
6744217820260450083366667566814032486869788470472656779231418088265090202679<76>
factorization results 素因数分解の結果
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.
software ソフトウェア
Msieve 1.36
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

19×10166+719

c132

name 名前Robert Backstrom
date 日付July 20, 2008 04:25:23 UTC 2008 年 7 月 20 日 (日) 13 時 25 分 23 秒 (日本時間)
composite number 合成数
151888285517697453349404132924871468767777805685695965312726172612353451929406967016381249252832945080495001996679890790773409019227<132>
prime factors 素因数
301435271504692523257664371180080720857128869883045784752185487<63>
503883585883986267026777603663420832974904119028443835373022979452021<69>
factorization results 素因数分解の結果
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+

19×10167+719

c159

name 名前Robert Backstrom
date 日付June 16, 2008 08:16:08 UTC 2008 年 6 月 16 日 (月) 17 時 16 分 8 秒 (日本時間)
composite number 合成数
133224028178890697708681965758845400603728229286676076401782104364682575091332750980674990649652299839425226083593134509865199424615266849874400940391168281227<159>
prime factors 素因数
10766075811599655430741404354340972913661347<44>
12374427833338457331814433209166661760078812457314883748540314012065840097373485608599199199387260515247162077378041<116>
factorization results 素因数分解の結果
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

19×10169+719

c143

name 名前Robert Backstrom
date 日付June 22, 2009 04:00:46 UTC 2009 年 6 月 22 日 (月) 13 時 0 分 46 秒 (日本時間)
composite number 合成数
47456818234849384485919149010234197237043999182472042017612061274694520497973354897231898436283664885858051334911013044250936917790809933381231<143>
prime factors 素因数
5953901394817602332266795990080373<34>
7970709470626566079289325522510715490264808474915393724092566519897218412184343046077211774275868043748116947<109>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)

19×10170+719

c143

name 名前Jo Yeong Uk
date 日付September 10, 2009 23:09:11 UTC 2009 年 9 月 11 日 (金) 8 時 9 分 11 秒 (日本時間)
composite number 合成数
10482528762203222779447796871500280565529891335012482902432438626124840006434825907390863943724652265498027597009542119289264411940490195729907<143>
prime factors 素因数
1472916625511933818304086346266260652139237503<46>
7116851409399948800992630964973514929835328139534602203013552485803304887760559036954951326947469<97>
factorization results 素因数分解の結果
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)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJuly 21, 2009 05:33:58 UTC 2009 年 7 月 21 日 (火) 14 時 33 分 58 秒 (日本時間)

19×10171+719

c157

name 名前Markus Tervooren
date 日付November 3, 2009 18:11:47 UTC 2009 年 11 月 4 日 (水) 3 時 11 分 47 秒 (日本時間)
composite number 合成数
3444590720796534891970900366617273075288864508894370522444950161612774095027857693356068550244426897682148456369374381691702403566455224593338052625372309739<157>
prime factors 素因数
36770347511060861410054629572166650094512885628335317<53>
93678492425462393852818727293289502166124539235947642213770088451030209181339994735034641839970928805567<104>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62500Dmitry DomanovJune 13, 2009 12:18:01 UTC 2009 年 6 月 13 日 (土) 21 時 18 分 1 秒 (日本時間)

19×10172+719

c167

name 名前Ignacio Santos
date 日付September 23, 2009 09:38:18 UTC 2009 年 9 月 23 日 (水) 18 時 38 分 18 秒 (日本時間)
composite number 合成数
50609538619473005538015354934017148109880233858686980802736537662952725629975550265526939856956134581950560873552600491232163800169035858989039838496971285479617274687<167>
prime factors 素因数
110527258301512944407034947393828659078821691<45>
457891920936034296955040759482830030956478893226740620438124139533279660951936241323594087842050389692669698370301114641357<123>
factorization results 素因数分解の結果
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.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 17, 2009 11:10:33 UTC 2009 年 9 月 17 日 (木) 20 時 10 分 33 秒 (日本時間)

19×10174+719

c134

name 名前Warut Roonguthai
date 日付April 9, 2012 04:27:03 UTC 2012 年 4 月 9 日 (月) 13 時 27 分 3 秒 (日本時間)
composite number 合成数
17769047185474843637623970984890896396935727808988750004836082180234315419658151427980793876058863476976579263283211388353806416465667<134>
prime factors 素因数
2556562396245684442736172507470817459031164911<46>
6950367106849695902421377822824936071855557618967249762947389954560567149944529875236397<88>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6410Ignacio SantosApril 24, 2010 17:05:50 UTC 2010 年 4 月 25 日 (日) 2 時 5 分 50 秒 (日本時間)
403e62486150Ignacio SantosApril 24, 2010 17:05:50 UTC 2010 年 4 月 25 日 (日) 2 時 5 分 50 秒 (日本時間)
2336Wataru SakaiApril 25, 2010 06:50:41 UTC 2010 年 4 月 25 日 (日) 15 時 50 分 41 秒 (日本時間)

19×10175+719

c176

name 名前Jo Yeong Uk
date 日付June 17, 2008 23:02:49 UTC 2008 年 6 月 18 日 (水) 8 時 2 分 49 秒 (日本時間)
composite number 合成数
21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<176>
prime factors 素因数
60850084350740294278005008684441134760052865768236487179773355418574426998451693<80>
346936431335518371490342055169677665804525006321550138544617865907161312009720281338190068074283<96>
factorization results 素因数分解の結果
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)
execution environment 実行環境
Core 2 Quad Q6700

19×10178+719

c116

name 名前Sinkiti Sibata
date 日付June 15, 2008 21:31:02 UTC 2008 年 6 月 16 日 (月) 6 時 31 分 2 秒 (日本時間)
composite number 合成数
16523860850882892395144792212261432649907044400229056482377148949941650807074754921165115690888775495900605003049413<116>
prime factors 素因数
27406547521000446067339104767<29>
602916541684842867507687365160027289170544020368979297591614953242064948580130894740539<87>
factorization results 素因数分解の結果
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) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

19×10179+719

c142

name 名前Dmitry Domanov
date 日付May 14, 2013 04:51:43 UTC 2013 年 5 月 14 日 (火) 13 時 51 分 43 秒 (日本時間)
composite number 合成数
5604861744254553082904194108923132615069902738318492966919792631232035178936085882064031220397686856483266242032689770574122279984152481489113<142>
prime factors 素因数
188821310526469173483265722149679159878998320574419371504992219<63>
29683417240496578178284222355374910098517427977881760797463492125768662262196827<80>
factorization results 素因数分解の結果
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) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 13, 2010 22:53:10 UTC 2010 年 10 月 14 日 (木) 7 時 53 分 10 秒 (日本時間)
403e62144110Ignacio SantosOctober 13, 2010 22:53:10 UTC 2010 年 10 月 14 日 (木) 7 時 53 分 10 秒 (日本時間)
2034Wataru SakaiMay 15, 2012 03:00:19 UTC 2012 年 5 月 15 日 (火) 12 時 0 分 19 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 13, 2010 22:53:10 UTC 2010 年 10 月 14 日 (木) 7 時 53 分 10 秒 (日本時間)

19×10180+719

c161

name 名前Dmitry Domanov
date 日付May 20, 2013 06:17:12 UTC 2013 年 5 月 20 日 (月) 15 時 17 分 12 秒 (日本時間)
composite number 合成数
16956341936954636823830406671022119473452377421172863927760170636107126124333473680391185710390598114809113096931884293522391598718004503536297511911854826944927<161>
prime factors 素因数
1734477077554090182747424647024150661537590084307037644116098441767050325787<76>
9776054210451707895250834539334714982419914330290050550883269068969637375574523958221<85>
factorization results 素因数分解の結果
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) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 00:00:49 UTC 2010 年 10 月 14 日 (木) 9 時 0 分 49 秒 (日本時間)
403e62410110Ignacio SantosOctober 14, 2010 00:00:49 UTC 2010 年 10 月 14 日 (木) 9 時 0 分 49 秒 (日本時間)
2300Warut RoonguthaiFebruary 13, 2013 00:58:53 UTC 2013 年 2 月 13 日 (水) 9 時 58 分 53 秒 (日本時間)
4511e632 / 3932Ignacio SantosOctober 14, 2010 00:00:49 UTC 2010 年 10 月 14 日 (木) 9 時 0 分 49 秒 (日本時間)

19×10182+719

c176

name 名前Wataru Sakai
date 日付June 19, 2010 05:13:28 UTC 2010 年 6 月 19 日 (土) 14 時 13 分 28 秒 (日本時間)
composite number 合成数
18107949358317652563976504916646583521253343049105909040358454291337634505013914863074405954663813387555776891879712170904579655739863029374343759576067363782688863314746095147<176>
prime factors 素因数
74415381796309196485502340019663<32>
6948819394157437393825958429058479<34>
composite cofactor 合成数の残り
35018338207362630724183714607434601855115933785277584731476066768601865093843253799868112297220488101566058411<110>
factorization results 素因数分解の結果
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
software ソフトウェア
GMP-ECM 6.2.3

c110

name 名前Dmitry Domanov
date 日付June 20, 2010 20:40:28 UTC 2010 年 6 月 21 日 (月) 5 時 40 分 28 秒 (日本時間)
composite number 合成数
35018338207362630724183714607434601855115933785277584731476066768601865093843253799868112297220488101566058411<110>
prime factors 素因数
1627153350701634462616267706817492481038399771703643<52>
21521227972927441350599549157181569499032957677991063995377<59>
factorization results 素因数分解の結果
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) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 19, 2010 16:36:09 UTC 2010 年 6 月 20 日 (日) 1 時 36 分 9 秒 (日本時間)
403e6110 / 2144Ignacio SantosJune 19, 2010 16:36:09 UTC 2010 年 6 月 20 日 (日) 1 時 36 分 9 秒 (日本時間)
4511e632 / 4441Ignacio SantosJune 19, 2010 16:36:09 UTC 2010 年 6 月 20 日 (日) 1 時 36 分 9 秒 (日本時間)

19×10183+719

c142

name 名前Dmitry Domanov
date 日付April 30, 2013 05:05:22 UTC 2013 年 4 月 30 日 (火) 14 時 5 分 22 秒 (日本時間)
composite number 合成数
1921576881983126142000499071370246426547484515733069233924306668308725748549417224420976451058082163192742151182957744268277735815669825882151<142>
prime factors 素因数
72264310593838026868032596337452082195968017<44>
26590952936413661428440857358085084320493716447904343517681540606152120461627705709709185003269303<98>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 05:51:05 UTC 2010 年 10 月 14 日 (木) 14 時 51 分 5 秒 (日本時間)
403e61110 / 2144110Ignacio SantosOctober 14, 2010 05:51:05 UTC 2010 年 10 月 14 日 (木) 14 時 51 分 5 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:04:52 UTC 2013 年 4 月 16 日 (火) 15 時 4 分 52 秒 (日本時間)
4511e632 / 4220Ignacio SantosOctober 14, 2010 05:51:05 UTC 2010 年 10 月 14 日 (木) 14 時 51 分 5 秒 (日本時間)

19×10185+719

c130

name 名前Erik Branger
date 日付September 13, 2010 22:27:45 UTC 2010 年 9 月 14 日 (火) 7 時 27 分 45 秒 (日本時間)
composite number 合成数
3003406009090687751119109429703408159141068851531342602648036716692608662865742661191418683186041717439507344403574306740703995301<130>
prime factors 素因数
482174502305650264297079954469313345538367445471008584287<57>
6228877708649201100219711169944315057659979549311545259418571137508544123<73>
factorization results 素因数分解の結果
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) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e61202Max DettweilerApril 19, 2009 23:28:36 UTC 2009 年 4 月 20 日 (月) 8 時 28 分 36 秒 (日本時間)
403e62504Max DettweilerApril 20, 2009 23:12:52 UTC 2009 年 4 月 21 日 (火) 8 時 12 分 52 秒 (日本時間)

19×10186+719

c172

name 名前matsui
date 日付October 8, 2010 06:26:17 UTC 2010 年 10 月 8 日 (金) 15 時 26 分 17 秒 (日本時間)
composite number 合成数
5183316644136062557681295143456195619511375007637578006533197583688867690830722337207553459203773000337139646405409185559958188659553612353504949958256852830428109951538381<172>
prime factors 素因数
4358391731885958372452846415259<31>
1189272778354217280100680800461327306153659321777062555627400822010045303127061915050255094519260110855028197455342436403552819687545468395959<142>
factorization results 素因数分解の結果
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:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)

19×10188+719

c153

composite cofactor 合成数の残り
210372596195594335057537429075682195098508286567139469509000111624089028599249764236979299460936704681701825543060034708863551030384739431526086136307049<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 05:51:30 UTC 2010 年 10 月 14 日 (木) 14 時 51 分 30 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 05:51:30 UTC 2010 年 10 月 14 日 (木) 14 時 51 分 30 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:05:00 UTC 2013 年 4 月 16 日 (火) 15 時 5 分 0 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 14, 2010 05:51:30 UTC 2010 年 10 月 14 日 (木) 14 時 51 分 30 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:30:15 UTC 2013 年 4 月 30 日 (火) 19 時 30 分 15 秒 (日本時間)

19×10189+719

c150

composite cofactor 合成数の残り
482051283167399735541988809491294002831346662319994033908604975413586128280628252530167899295987574941415368523553624402201113956269789993316768346793<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 05:52:07 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 7 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 05:52:07 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 7 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:05:11 UTC 2013 年 4 月 16 日 (火) 15 時 5 分 11 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 14, 2010 05:52:07 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 7 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:30:26 UTC 2013 年 4 月 30 日 (火) 19 時 30 分 26 秒 (日本時間)

19×10191+719

c167

composite cofactor 合成数の残り
64208389536461955733990741943105732897582017367982385938171812005657179649751848407055126770851035912231336934001754684603552074977087972264345190054565191288437126839<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 05:52:30 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 30 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 05:52:30 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 30 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:05:19 UTC 2013 年 4 月 16 日 (火) 15 時 5 分 19 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 14, 2010 05:52:30 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 30 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:30:35 UTC 2013 年 4 月 30 日 (火) 19 時 30 分 35 秒 (日本時間)

19×10192+719

c147

name 名前Dmitry Domanov
date 日付March 29, 2013 08:57:07 UTC 2013 年 3 月 29 日 (金) 17 時 57 分 7 秒 (日本時間)
composite number 合成数
234097390727236936436955813980667773161913642262409259084498284963916783345768409520405529363217459584539916894786020180577128901903507700220711507<147>
prime factors 素因数
13649009742432174913951387280746213645181<41>
17151236254119790076172375831225105360816640527466655798767013288374255403513127471161595493158130064748047<107>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 05:52:59 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 59 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 14, 2010 05:52:59 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 59 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 14, 2010 05:52:59 UTC 2010 年 10 月 14 日 (木) 14 時 52 分 59 秒 (日本時間)

19×10194+719

c161

composite cofactor 合成数の残り
47843936713487550602355826709805935584888189043094902859333027342149175440716347635220102864201482121479582745533405584387137106997593959288507822205274549516867<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 05:54:06 UTC 2010 年 10 月 14 日 (木) 14 時 54 分 6 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 05:54:06 UTC 2010 年 10 月 14 日 (木) 14 時 54 分 6 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:05:28 UTC 2013 年 4 月 16 日 (火) 15 時 5 分 28 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 14, 2010 05:54:06 UTC 2010 年 10 月 14 日 (木) 14 時 54 分 6 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:30:45 UTC 2013 年 4 月 30 日 (火) 19 時 30 分 45 秒 (日本時間)

19×10195+719

c153

composite cofactor 合成数の残り
176082008707865447020295542264229458925863776836611450340222310721972448753067474401439724332718101962723935366128347496330471531888095184656091538273493<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 06:52:34 UTC 2010 年 10 月 14 日 (木) 15 時 52 分 34 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 06:52:34 UTC 2010 年 10 月 14 日 (木) 15 時 52 分 34 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:05:41 UTC 2013 年 4 月 16 日 (火) 15 時 5 分 41 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 14, 2010 06:52:34 UTC 2010 年 10 月 14 日 (木) 15 時 52 分 34 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:30:55 UTC 2013 年 4 月 30 日 (火) 19 時 30 分 55 秒 (日本時間)

19×10196+719

c196

name 名前Wataru Sakai
date 日付January 19, 2009 14:21:29 UTC 2009 年 1 月 19 日 (月) 23 時 21 分 29 秒 (日本時間)
composite number 合成数
3015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873017<196>
prime factors 素因数
4024550742728356898279108029508093226251113429243623259829018016784236730049498559965681<88>
749368863424609268346748573675398417191779704699583690103757751394161833140023105513882632166295016315653257<108>
factorization results 素因数分解の結果
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) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)

19×10198+719

c174

composite cofactor 合成数の残り
161884805798610897409684745476963080886589641228498308803598132836685150077073884363496037888896995571664560666471563320366624776966051707278460855217539221903017895570543363<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 12:06:24 UTC 2010 年 10 月 14 日 (木) 21 時 6 分 24 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 12:06:24 UTC 2010 年 10 月 14 日 (木) 21 時 6 分 24 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:05:51 UTC 2013 年 4 月 16 日 (火) 15 時 5 分 51 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 14, 2010 12:06:24 UTC 2010 年 10 月 14 日 (木) 21 時 6 分 24 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:31:05 UTC 2013 年 4 月 30 日 (火) 19 時 31 分 5 秒 (日本時間)

19×10199+719

c167

composite cofactor 合成数の残り
12176073442828838916489585663825686877691208405171244177840342090972165166285752671848915697988423788460624815455099220159887054238603545769024806500485238002922219361<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 12:06:55 UTC 2010 年 10 月 14 日 (木) 21 時 6 分 55 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 12:06:55 UTC 2010 年 10 月 14 日 (木) 21 時 6 分 55 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:06:00 UTC 2013 年 4 月 16 日 (火) 15 時 6 分 0 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 14, 2010 12:06:55 UTC 2010 年 10 月 14 日 (木) 21 時 6 分 55 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:31:15 UTC 2013 年 4 月 30 日 (火) 19 時 31 分 15 秒 (日本時間)

19×10200+719

c174

name 名前Dmitry Domanov
date 日付May 6, 2013 05:28:41 UTC 2013 年 5 月 6 日 (月) 14 時 28 分 41 秒 (日本時間)
composite number 合成数
432136876925912569651150439173034958771121373662998668084914213121049648890579467196603773693299533467560120068123391338710823836050195125787998812536622136019533573181408113<174>
prime factors 素因数
8284751973862666328776621046483070535592987<43>
52160508641568171078210696852809116577452363304736199958247591752846576079643585260273558009679536177150706273663910679089888915299<131>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaJune 11, 2008 09:00:00 UTC 2008 年 6 月 11 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 14, 2010 12:07:23 UTC 2010 年 10 月 14 日 (木) 21 時 7 分 23 秒 (日本時間)
403e61110110Ignacio SantosOctober 14, 2010 12:07:23 UTC 2010 年 10 月 14 日 (木) 21 時 7 分 23 秒 (日本時間)
1000Dmitry DomanovApril 16, 2013 06:06:10 UTC 2013 年 4 月 16 日 (火) 15 時 6 分 10 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 14, 2010 12:07:23 UTC 2010 年 10 月 14 日 (木) 21 時 7 分 23 秒 (日本時間)
1000Dmitry DomanovApril 30, 2013 10:31:24 UTC 2013 年 4 月 30 日 (火) 19 時 31 分 24 秒 (日本時間)

19×10203+719

c163

composite cofactor 合成数の残り
8784579582171346591568645992578585656494312048762278661071386759843804847052408417304803857653493188461230862214114609451088600461553418641015183315211399443656667<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:06:19 UTC 2013 年 4 月 16 日 (火) 15 時 6 分 19 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:31:52 UTC 2013 年 4 月 30 日 (火) 19 時 31 分 52 秒 (日本時間)

19×10204+719

c161

composite cofactor 合成数の残り
57636098192451685761970211612086549883432196411659527608565381064125748902762100207255644499500819295349308670097441599974385586062442350873495386827328405877769<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:06:29 UTC 2013 年 4 月 16 日 (火) 15 時 6 分 29 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:32:09 UTC 2013 年 4 月 30 日 (火) 19 時 32 分 9 秒 (日本時間)

19×10207+719

c180

composite cofactor 合成数の残り
222009157468107191055215787039294560539741190871217347103420544228040735010153663228375242439901973717898926484451630617583922939969276792118100956053842949919655497846637688190693<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:06:39 UTC 2013 年 4 月 16 日 (火) 15 時 6 分 39 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:32:25 UTC 2013 年 4 月 30 日 (火) 19 時 32 分 25 秒 (日本時間)

19×10208+719

c174

composite cofactor 合成数の残り
557525338717900493139107516738628481945110207702904172337903829648349459627339473838972614874694678573133761779202775304344706414775742063713498551900698691006224495010047433<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:06:52 UTC 2013 年 4 月 16 日 (火) 15 時 6 分 52 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:32:36 UTC 2013 年 4 月 30 日 (火) 19 時 32 分 36 秒 (日本時間)

19×10209+719

c192

composite cofactor 合成数の残り
109850513285115997661334696565022414171109394766810533680059655116768448701918508980601441486396536743690079338834215627147622941515554768882117432898711079976837219592127396251052753612616333<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:07:02 UTC 2013 年 4 月 16 日 (火) 15 時 7 分 2 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:32:56 UTC 2013 年 4 月 30 日 (火) 19 時 32 分 56 秒 (日本時間)

19×10212+719

c180

composite cofactor 合成数の残り
176123881440799892330959738211488921775097087867521398373288649687909849197290707840302093020850391893015983063482876937508232411532621349538301552682503491049401687349534541766859<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:07:12 UTC 2013 年 4 月 16 日 (火) 15 時 7 分 12 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:33:06 UTC 2013 年 4 月 30 日 (火) 19 時 33 分 6 秒 (日本時間)

19×10213+719

c160

composite cofactor 合成数の残り
3067395695812089226588829600480695158446987526316505962102864495877183317338292316551772095363911866310371418245635265193185015372562526417567389306264627829217<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:07:26 UTC 2013 年 4 月 16 日 (火) 15 時 7 分 26 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:33:17 UTC 2013 年 4 月 30 日 (火) 19 時 33 分 17 秒 (日本時間)

19×10214+719

c195

name 名前Dmitry Domanov
date 日付March 29, 2013 08:53:26 UTC 2013 年 3 月 29 日 (金) 17 時 53 分 26 秒 (日本時間)
composite number 合成数
683321137635052116335291394392438001326089685960612704215526821933221695401704742337000563169711140480063471120994363823322669094962641705134250408043073143690520423143511935862574835411633176317<195>
prime factors 素因数
342812080151117870291026895389438897<36>
composite cofactor 合成数の残り
1993281967583614878753828640907985333719275948378236356590185566413652180200085970019916946743396511944887464386059092255714769004007596991254656467009230638861<160>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:07:35 UTC 2013 年 4 月 16 日 (火) 15 時 7 分 35 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:33:27 UTC 2013 年 4 月 30 日 (火) 19 時 33 分 27 秒 (日本時間)

19×10215+719

c182

composite cofactor 合成数の残り
20560908647071608548273338774413077020044758283349972024271617927805764319874287569559736822427486577337113635733334433666554923154248434939441151202753109145475843474957341934137701<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:07:44 UTC 2013 年 4 月 16 日 (火) 15 時 7 分 44 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:33:37 UTC 2013 年 4 月 30 日 (火) 19 時 33 分 37 秒 (日本時間)

19×10217+719

c177

composite cofactor 合成数の残り
478836889673378152372702756527692756132055631960696962876098336894908549463880697063549258130590348136142644753650192549212244688411267059260239109870221599238901333741585564967<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:10:12 UTC 2013 年 4 月 16 日 (火) 15 時 10 分 12 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:34:06 UTC 2013 年 4 月 30 日 (火) 19 時 34 分 6 秒 (日本時間)

19×10218+719

c142

name 名前Dmitry Domanov
date 日付March 29, 2013 08:56:39 UTC 2013 年 3 月 29 日 (金) 17 時 56 分 39 秒 (日本時間)
composite number 合成数
6575664363387012009957808685890018216454076227127935324440031333267767323896223100122959291483443553185261327516506222901981541927172079644439<142>
prime factors 素因数
2189725873107277675925282932780804651<37>
3002962354395518067519834097005512424649486493016870093580376928529710475416891536757031324422326144955589<106>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)

19×10220+719

c205

name 名前Dmitry Domanov
date 日付May 6, 2013 05:34:16 UTC 2013 年 5 月 6 日 (月) 14 時 34 分 16 秒 (日本時間)
composite number 合成数
1400796605028568948745310850172410426129538419485602072055536625309927271753219792616908904535780810539378125182070854420822420888797896199666702747201399351559976356533422772600890152460670000263603821109<205>
prime factors 素因数
79814748343994757611166305741049305685281<41>
composite cofactor 合成数の残り
17550598530878717567144294391927975748577912326956649843772912589435436731156994338126469953669029874331691833903002551522157400839974447613459139241087222048663189<164>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:10:20 UTC 2013 年 4 月 16 日 (火) 15 時 10 分 20 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:34:15 UTC 2013 年 4 月 30 日 (火) 19 時 34 分 15 秒 (日本時間)

19×10221+719

c207

name 名前Dmitry Domanov
date 日付March 29, 2013 08:52:33 UTC 2013 年 3 月 29 日 (金) 17 時 52 分 33 秒 (日本時間)
composite number 合成数
316348127964260240813449979644944334894356482966346608948806996385808534604766732583639416307188345813750336430634855289421189738370509480911989539560985784674211313227080182581156718109575949889883318065489<207>
prime factors 素因数
29338429285693433925934140836846839<35>
1248904345700532425845374482368685166792758527<46>
composite cofactor 合成数の残り
8633745309037918507489741523752733986286145573866142197854321676122880914722763632786133409854372060094548948646682368490613513<127>
factorization results 素因数分解の結果
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

c127

name 名前Dmitry Domanov
date 日付March 31, 2013 07:58:03 UTC 2013 年 3 月 31 日 (日) 16 時 58 分 3 秒 (日本時間)
composite number 合成数
8633745309037918507489741523752733986286145573866142197854321676122880914722763632786133409854372060094548948646682368490613513<127>
prime factors 素因数
3449824883542127499958764919282042398841605742422889<52>
2502661903282804012003234964586773213808031803093982811988742110351227219617<76>
factorization results 素因数分解の結果
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.
software ソフトウェア
YAFU 1.33

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)

19×10225+719

c151

composite cofactor 合成数の残り
4902737470322779045000095205942834188952916417389623425279633694873746841005867517231949073013927523377246675748351267765713332464954229993980167966869<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:10:31 UTC 2013 年 4 月 16 日 (火) 15 時 10 分 31 秒 (日本時間)
4511e642741000Dmitry DomanovApril 30, 2013 10:35:05 UTC 2013 年 4 月 30 日 (火) 19 時 35 分 5 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:13 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 13 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:13 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 13 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:15 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 15 秒 (日本時間)
1124Ignacio SantosJanuary 9, 2016 00:19:23 UTC 2016 年 1 月 9 日 (土) 9 時 19 分 23 秒 (日本時間)

19×10226+719

c205

composite cofactor 合成数の残り
1159000518882060604359611302179716382828589377737167797120222327469532996509024148121459397804473872004569129648046413961896556181937533316635318163434748249760152898370688909646898347533160138628257628583<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:10:40 UTC 2013 年 4 月 16 日 (火) 15 時 10 分 40 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:35:15 UTC 2013 年 4 月 30 日 (火) 19 時 35 分 15 秒 (日本時間)

19×10227+719

c221

composite cofactor 合成数の残り
14732199740187577655654044963092311676681809894779605477738913459484229253839127899057510623137234495811670505916687906234107881836189430004911482779698430165484706158406085781768715179815918683033768396126892282241746729<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:10:48 UTC 2013 年 4 月 16 日 (火) 15 時 10 分 48 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:35:25 UTC 2013 年 4 月 30 日 (火) 19 時 35 分 25 秒 (日本時間)

19×10228+719

c214

composite cofactor 合成数の残り
3394217098548161809626292131112526176770052125440651051848007094495705383869297519194208047189302597870237330712508469988943007982015039171866752547220315157781662583131634929510348268643673112638690060427002240921<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:10:57 UTC 2013 年 4 月 16 日 (火) 15 時 10 分 57 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:35:34 UTC 2013 年 4 月 30 日 (火) 19 時 35 分 34 秒 (日本時間)

19×10229+719

c214

composite cofactor 合成数の残り
7366604835356721890687407473667817100072525465269384731999035378699651373929606274125030636188056704590921048434081236503141218543011286359260929411306309891091297580555069376658622877960761123595383648720967569473<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:11:11 UTC 2013 年 4 月 16 日 (火) 15 時 11 分 11 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:35:46 UTC 2013 年 4 月 30 日 (火) 19 時 35 分 46 秒 (日本時間)

19×10232+719

c218

composite cofactor 合成数の残り
12553052253971530050561180000119324405456114524809660718261224055343190126801598172549702315932647663947335494011283394853111408556702848336095240608427637083087949031936788980074529754195389923103273692148004108858257<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:11:22 UTC 2013 年 4 月 16 日 (火) 15 時 11 分 22 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:35:57 UTC 2013 年 4 月 30 日 (火) 19 時 35 分 57 秒 (日本時間)

19×10233+719

c221

composite cofactor 合成数の残り
33845047123943253479326307720849105690652113951772023313552140828370765677655028821673249568356624765022330647429363494795736045355434523973152728112383447202618752559164210693773129600652142295933583158930589769101636381<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:11:30 UTC 2013 年 4 月 16 日 (火) 15 時 11 分 30 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:36:09 UTC 2013 年 4 月 30 日 (火) 19 時 36 分 9 秒 (日本時間)

19×10235+719

c213

composite cofactor 合成数の残り
147172159113435428507223676688833455122451575699790027749087432298358664016575560934121878488173368252004068409699979851614514230713134332316098615454070091760984469916157987371183285244696484928552968082988686777<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:11:38 UTC 2013 年 4 月 16 日 (火) 15 時 11 分 38 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:36:30 UTC 2013 年 4 月 30 日 (火) 19 時 36 分 30 秒 (日本時間)

19×10236+719

c232

composite cofactor 合成数の残り
7178452552317695641168047574249757254959743993713186817338607606892825703393896804077361049716451124183451022173862120817134588429090112248329120715124999527733384715941076238944238536200180594753684624132446227723183757050940566191<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:11:47 UTC 2013 年 4 月 16 日 (火) 15 時 11 分 47 秒 (日本時間)
4511e639501000Dmitry DomanovApril 30, 2013 10:36:40 UTC 2013 年 4 月 30 日 (火) 19 時 36 分 40 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:00 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 0 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:38 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 38 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:31 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 31 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:17 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 17 秒 (日本時間)
5043e687 / 6628KTakahashiSeptember 16, 2014 11:04:32 UTC 2014 年 9 月 16 日 (火) 20 時 4 分 32 秒 (日本時間)

19×10237+719

c203

composite cofactor 合成数の残り
18424720400114484209392152271847421351267034576458711150126038505735306709394700560240220917417424730854653136798071302790904984622190259547687573299164697587645557113232701368234737830619451957770303679<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:11:55 UTC 2013 年 4 月 16 日 (火) 15 時 11 分 55 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:36:51 UTC 2013 年 4 月 30 日 (火) 19 時 36 分 51 秒 (日本時間)

19×10238+719

c209

name 名前Dmitry Domanov
date 日付May 6, 2013 05:36:00 UTC 2013 年 5 月 6 日 (月) 14 時 36 分 0 秒 (日本時間)
composite number 合成数
20281346933735282817429061555005884273735867856465767448477744860434753011634810325408204729962583281089912534373917077461890407929429006123432538031740164112345972709505146839739193121565340845029698786781813<209>
prime factors 素因数
230224427736796332449924085644546700491<39>
composite cofactor 合成数の残り
88093809736479817113625909543582617611270789958491135539054438115021358706100604322222928646921200729532278943374581729881064053469609563035615488182841135170801461687743<170>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:05 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 5 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:37:04 UTC 2013 年 4 月 30 日 (火) 19 時 37 分 4 秒 (日本時間)

19×10239+719

c201

name 名前Dmitry Domanov
date 日付March 29, 2013 08:54:01 UTC 2013 年 3 月 29 日 (金) 17 時 54 分 1 秒 (日本時間)
composite number 合成数
224049913453925970660202596961248762059344011885205582378849991751103627103187432184918703864918288012603421661880794277195043906620670952039340504487635554274574213159925306570209831171167907754581631<201>
prime factors 素因数
234940120659662939464346828371257622837<39>
953646881702624760152676004251682085639152621932557136991193424957606902532600349501937705593660418358092846047549781369397935997307062906068561438949924266961763<162>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)

19×10242+719

c201

name 名前Dmitry Domanov
date 日付May 6, 2013 05:35:26 UTC 2013 年 5 月 6 日 (月) 14 時 35 分 26 秒 (日本時間)
composite number 合成数
652670438216829967130549959721361342676426947703294594861547017979438637158433739861236405514861727636172443046346304911800829253334858231973877128278199044731173469706339133358455119878628956525695663<201>
prime factors 素因数
7580377919709847674928161143069052467<37>
composite cofactor 合成数の残り
86099986719634695794415803280225787150026764308977792963193168913762664597621496286174658824292317238319409689034697421165425572117109775234522182943113298223658389<164>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:13 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 13 秒 (日本時間)
4511e622501000Dmitry DomanovApril 30, 2013 10:37:19 UTC 2013 年 4 月 30 日 (火) 19 時 37 分 19 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:14 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 14 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:52 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 52 秒 (日本時間)
5043e6600 / 7010500Dmitry DomanovMay 22, 2013 09:08:03 UTC 2013 年 5 月 22 日 (水) 18 時 8 分 3 秒 (日本時間)
100Erik BrangerMarch 10, 2014 21:49:07 UTC 2014 年 3 月 11 日 (火) 6 時 49 分 7 秒 (日本時間)

19×10243+719

c216

name 名前Dmitry Domanov
date 日付March 29, 2013 08:57:44 UTC 2013 年 3 月 29 日 (金) 17 時 57 分 44 秒 (日本時間)
composite number 合成数
414956185565301219709006460292347543015840349364266751680915456966377863785397036138354367293781408728966339812798275502961774540587855104591203320813650677828829014600902876217930194907347176280961201672259512908379<216>
prime factors 素因数
1825663088028213005288541702265000973<37>
227290669503248820051881947852889130506544447126074259910553633805727345500743144621196538046530280153662498145452559775823757291863406442968257749295098527880847936561312309782023<180>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)

19×10244+719

c236

composite cofactor 合成数の残り
20659279589171940819549034942382096140648276278540545074173896052369587091471989792577893870359528289831097544723267442319297095517090871434320895207790075626051493654296170688673769834337837469795563751278789426871719398076792672748343<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:22 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 22 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:37:32 UTC 2013 年 4 月 30 日 (火) 19 時 37 分 32 秒 (日本時間)

19×10245+719

c235

composite cofactor 合成数の残り
8135713942675363470535112483203412475467218180983872450147541363539695369409195822458037240522791175191769780004428241095014418707076947356378333120755970247695361966970136256321752216091680056616183946035737858207256210112009644806597<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:30 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 30 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:37:44 UTC 2013 年 4 月 30 日 (火) 19 時 37 分 44 秒 (日本時間)

19×10246+719

c212

name 名前Dmitry Domanov
date 日付May 6, 2013 05:43:36 UTC 2013 年 5 月 6 日 (月) 14 時 43 分 36 秒 (日本時間)
composite number 合成数
71007133479056862048316401496652924559942278748331454272497014976002174318837216155467370415431888060647569965311037950336074666453575459434855785432364206515039970747211277358990028388048691134767519656660389013<212>
prime factors 素因数
16482086925602967646920811692088920136007<41>
4308139727667356248584931498048837022047492524021443957897590855028060380400260473367735480078305488813274745245465712393879124040113500000374997680540592706223500975937859<172>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:38 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 38 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:38:02 UTC 2013 年 4 月 30 日 (火) 19 時 38 分 2 秒 (日本時間)

19×10247+719

c210

name 名前Dmitry Domanov
date 日付May 6, 2013 05:34:52 UTC 2013 年 5 月 6 日 (月) 14 時 34 分 52 秒 (日本時間)
composite number 合成数
644011144640226650841958817001248375876693096064441769973049078772176513380574056599887558729446449239390413329685573393797512220837120957340138236895192125244316375410196693822356119902423373165994192312403497<210>
prime factors 素因数
1312557389366862230223897512308976009<37>
490653703874143013773453320544137343438327617395673781295538506403811714641381629806803667537281283371675453283358654676459712016627566687888078557761054023451742399255932833<174>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:47 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 47 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:38:12 UTC 2013 年 4 月 30 日 (火) 19 時 38 分 12 秒 (日本時間)

19×10248+719

c226

composite cofactor 合成数の残り
1554218750554204935187193712640793898830269515471663840677165456645212856708974347036378707791716317935318281685022673668090677207160792043610086046829222034909370452394535409093604335218323493326067017561339741582173333903817<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:12:55 UTC 2013 年 4 月 16 日 (火) 15 時 12 分 55 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovApril 30, 2013 10:38:24 UTC 2013 年 4 月 30 日 (火) 19 時 38 分 24 秒 (日本時間)

19×10250+719

c189

composite cofactor 合成数の残り
383928200700181391241577627431163096733141374054644536744743754033100644976443705922879045606619095512288787581372628913894066405233594927423029312203192714221789294054095049781133172435047<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 28, 2013 13:00:00 UTC 2013 年 3 月 28 日 (木) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 16, 2013 06:13:04 UTC 2013 年 4 月 16 日 (火) 15 時 13 分 4 秒 (日本時間)
4511e62000Dmitry DomanovApril 17, 2013 07:49:12 UTC 2013 年 4 月 17 日 (水) 16 時 49 分 12 秒 (日本時間)
5043e6500 / 6897Dmitry DomanovMay 2, 2013 19:51:42 UTC 2013 年 5 月 3 日 (金) 4 時 51 分 42 秒 (日本時間)
5511e770 / 17458Dmitry DomanovMay 6, 2013 11:06:45 UTC 2013 年 5 月 6 日 (月) 20 時 6 分 45 秒 (日本時間)

19×10251+719

c247

composite cofactor 合成数の残り
1487714221060239114825698618853097616760118609973792739484796735171991509066835169877388857960093240531286238565154444311333172033791471012671410126009394523802253025736673016857368139582046264780245034362283469067680817960938888614836269219897473<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2016 14:22:54 UTC 2016 年 2 月 15 日 (月) 23 時 22 分 54 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovFebruary 17, 2016 20:19:19 UTC 2016 年 2 月 18 日 (木) 5 時 19 分 19 秒 (日本時間)

19×10252+719

c253

composite cofactor 合成数の残り
2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e626081200Dmitry DomanovFebruary 13, 2016 21:09:59 UTC 2016 年 2 月 14 日 (日) 6 時 9 分 59 秒 (日本時間)
1408Ben MeekinsFebruary 15, 2016 02:26:33 UTC 2016 年 2 月 15 日 (月) 11 時 26 分 33 秒 (日本時間)
4511e650621200Dmitry DomanovFebruary 15, 2016 14:08:11 UTC 2016 年 2 月 15 日 (月) 23 時 8 分 11 秒 (日本時間)
3862Ben MeekinsFebruary 16, 2016 14:18:21 UTC 2016 年 2 月 16 日 (火) 23 時 18 分 21 秒 (日本時間)
5043e66313Ben MeekinsMarch 4, 2016 04:24:38 UTC 2016 年 3 月 4 日 (金) 13 時 24 分 38 秒 (日本時間)

19×10254+719

c249

composite cofactor 合成数の残り
660240098049129508180201067434491151218959593653494181721009639157936728843909163472320823868444033010614923302687767940200316845748105892781873003859624615279832340714470134734154324520518003531242040197502137961685919615420567730035468793056776131<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2016 14:23:13 UTC 2016 年 2 月 15 日 (月) 23 時 23 分 13 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovFebruary 17, 2016 20:20:01 UTC 2016 年 2 月 18 日 (木) 5 時 20 分 1 秒 (日本時間)

19×10256+719

c247

name 名前Dmitry Domanov
date 日付February 18, 2016 10:43:21 UTC 2016 年 2 月 18 日 (木) 19 時 43 分 21 秒 (日本時間)
composite number 合成数
1881655476965779301754594148668081174848105913493384977219447648480596821096264171110568915650665378161523938657982369417995592262233407270023178844891708468769357298916661729670633115233531873179539369645699841613449683248499285855083903005388109<247>
prime factors 素因数
78811362229051359328225058148839807<35>
23875433995127234200309671920102706130776416373908651484456871003797494926644050271207960080484321442402082919711545442664980526200575643890463330534007367395858222116856889102981984295910935214170526918317780787<212>
factorization results 素因数分解の結果
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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 15, 2016 14:23:31 UTC 2016 年 2 月 15 日 (月) 23 時 23 分 31 秒 (日本時間)
4511e6800 / 4218Dmitry DomanovFebruary 18, 2016 10:28:36 UTC 2016 年 2 月 18 日 (木) 19 時 28 分 36 秒 (日本時間)

19×10257+719

c236

composite cofactor 合成数の残り
90719104015692196522280342908840008716560759401786907071581726768538673398322229872741447081502679787437262993605009674071524052115231246889415050481676064784286025352940434405684059713631285273570245884936730452443299276135078283534007<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:10:32 UTC 2016 年 2 月 15 日 (月) 7 時 10 分 32 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:18:02 UTC 2016 年 2 月 17 日 (水) 1 時 18 分 2 秒 (日本時間)

19×10258+719

c255

composite cofactor 合成数の残り
102188446251566441314250985580672399976335307183847771485120824391844286321269718336372095024498335403993954746653328385261199046958280222232978900775018689728985483862293001167099622978416724483813887947679515519197982047103495382695731212116322721869941<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e623661000Dmitry DomanovFebruary 15, 2016 14:23:53 UTC 2016 年 2 月 15 日 (月) 23 時 23 分 53 秒 (日本時間)
1366Ignacio SantosFebruary 22, 2016 19:09:24 UTC 2016 年 2 月 23 日 (火) 4 時 9 分 24 秒 (日本時間)

19×10259+719

c252

composite cofactor 合成数の残り
647982659629343073508554597158508048301023059237111666677801737107139325271958407507311554970365826079346506622998364938534087177261109827252836282341637309556489530477664885215686638423285211856037774360590065696676868335138118509978334426940488859877<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 15, 2016 14:24:11 UTC 2016 年 2 月 15 日 (月) 23 時 24 分 11 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2016 22:24:20 UTC 2016 年 2 月 23 日 (火) 7 時 24 分 20 秒 (日本時間)

19×10260+719

c260

composite cofactor 合成数の残り
23456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456790123456791<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e626291000Dmitry DomanovFebruary 15, 2016 14:24:28 UTC 2016 年 2 月 15 日 (月) 23 時 24 分 28 秒 (日本時間)
1629Ignacio SantosFebruary 22, 2016 23:41:02 UTC 2016 年 2 月 23 日 (火) 8 時 41 分 2 秒 (日本時間)

19×10261+719

c221

composite cofactor 合成数の残り
62176306089796088624295459539973302922511088694196219071159397688637135763691981678650933265618152015036814482189201311621395915721082766776605791885111118464387520966095378515239668048555904725777482668744376097118934357<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:09:57 UTC 2016 年 2 月 15 日 (月) 7 時 9 分 57 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:16:14 UTC 2016 年 2 月 17 日 (水) 1 時 16 分 14 秒 (日本時間)

19×10262+719

c233

name 名前Dmitry Domanov
date 日付February 15, 2016 11:20:58 UTC 2016 年 2 月 15 日 (月) 20 時 20 分 58 秒 (日本時間)
composite number 合成数
31121948143227369703625013289026622141511291994584880579681987787254398098974594237670153087673173528642291451992453021460724197908207292457189881501458098410873765635026713655956897146354582393552490498654748794576572551400270144031<233>
prime factors 素因数
59716235568607533994382306573751223<35>
composite cofactor 合成数の残り
521163932168356418092338486513913517927544401582230142931113778138680709258911363771765883062340521069640901780635388163945085466264470673329332750707583312504060672275416372846921281110968951239897<198>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3387484903
Step 1 took 23491ms
Step 2 took 7953ms
********** Factor found in step 2: 59716235568607533994382306573751223
Found probable prime factor of 35 digits: 59716235568607533994382306573751223

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:10:51 UTC 2016 年 2 月 15 日 (月) 7 時 10 分 51 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovFebruary 16, 2016 07:33:31 UTC 2016 年 2 月 16 日 (火) 16 時 33 分 31 秒 (日本時間)

19×10263+719

c256

name 名前Dmitry Domanov
date 日付February 16, 2016 07:32:56 UTC 2016 年 2 月 16 日 (火) 16 時 32 分 56 秒 (日本時間)
composite number 合成数
5033564216830697410733772088991857597903837353311242397592712219220072061088161899686633870134610144053481418461257486761149899094654927303424355725437818024726663620724496846179276657694497404825427396162477931894122346537747231884744816401791642608547799<256>
prime factors 素因数
3741668086386274247324990488254301<34>
1345272776905271757818843687197206347670433531895644543077229809806809264571225037039647079643442328808264482310257552876978779213846289330234484343338575807679976652109321848584170347087691547944511189045106048502651772099<223>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2597250155
Step 1 took 48763ms
Step 2 took 14869ms
********** Factor found in step 2: 3741668086386274247324990488254301
Found probable prime factor of 34 digits: 3741668086386274247324990488254301

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:24:44 UTC 2016 年 2 月 15 日 (月) 23 時 24 分 44 秒 (日本時間)

19×10264+719

c263

composite cofactor 合成数の残り
12202954399486191393705844572896596017983301220295439948619139370584457289659601798330122029543994861913937058445728965960179833012202954399486191393705844572896596017983301220295439948619139370584457289659601798330122029543994861913937058445728965960179833012203<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:25:02 UTC 2016 年 2 月 15 日 (月) 23 時 25 分 2 秒 (日本時間)

19×10265+719

c265

composite cofactor 合成数の残り
1241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183007<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:25:18 UTC 2016 年 2 月 15 日 (月) 23 時 25 分 18 秒 (日本時間)

19×10266+719

c214

name 名前Dmitry Domanov
date 日付February 15, 2016 09:35:57 UTC 2016 年 2 月 15 日 (月) 18 時 35 分 57 秒 (日本時間)
composite number 合成数
2239061225661044910084031236669779960245026418684755005058641709120338229979034486666297301517405313363367662505409963673145026975126536338927722225210876730065746670939138762602170195225135814816020864939206819807<214>
prime factors 素因数
192411945438091783574253923350983361733<39>
11636809869382351076446091858149882193178547676569688279674780992786131354804600745792208404274030411669269747156474006334629066091786001746360366527730455973495876198703031379<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4114774332
Step 1 took 26508ms
Step 2 took 8449ms
********** Factor found in step 2: 192411945438091783574253923350983361733
Found probable prime factor of 39 digits: 192411945438091783574253923350983361733

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 14, 2016 22:11:30 UTC 2016 年 2 月 15 日 (月) 7 時 11 分 30 秒 (日本時間)

19×10267+719

c251

composite cofactor 合成数の残り
25579526790606242425065735420934561576414713561533533097442302569570097818651281478818978602525101911769233161415542109861371208041299983043374777083840927446924546596332411453300332049824470411197269995307886996531856887498137984930456820946807128569<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:25:36 UTC 2016 年 2 月 15 日 (月) 23 時 25 分 36 秒 (日本時間)

19×10268+719

c225

composite cofactor 合成数の残り
833865096338805590845735440014155488936474552989234912874633258652275125750431714038308336574915315356051130896452854936776787563381181296039412603120631693348720572536860184083137135250627946980414258328999781703819623156949<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:12:11 UTC 2016 年 2 月 15 日 (月) 7 時 12 分 11 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:16:48 UTC 2016 年 2 月 17 日 (水) 1 時 16 分 48 秒 (日本時間)

19×10271+719

c241

composite cofactor 合成数の残り
1251041412859551283143561604076390448761972008466263775411903948450829677272725826378238633556425520656601949839962246072344219318603261292103154295807455042921515393982778351714847050357746921089878746280531300186515474834733548635868430407<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovFebruary 15, 2016 12:41:06 UTC 2016 年 2 月 15 日 (月) 21 時 41 分 6 秒 (日本時間)

19×10272+719

c226

composite cofactor 合成数の残り
2355883099134822045479216505155331831727065182345855857054970261011594336525516059764034423646310692825781646591811199076373756422786606508513334528691610305442852726887763581458340401202717345266687823084855976679579303901439<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:13:17 UTC 2016 年 2 月 15 日 (月) 7 時 13 分 17 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:17:02 UTC 2016 年 2 月 17 日 (水) 1 時 17 分 2 秒 (日本時間)

19×10273+719

c227

composite cofactor 合成数の残り
16441258185049240825077440444036494881965550595299020514153177167027564614263618443535125092355571280731136491586179585369125929713996146022301291969402219914629723582075063208818209326624743479099254148692245997874439232803671<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:13:38 UTC 2016 年 2 月 15 日 (月) 7 時 13 分 38 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:17:16 UTC 2016 年 2 月 17 日 (水) 1 時 17 分 16 秒 (日本時間)

19×10274+719

c198

name 名前Dmitry Domanov
date 日付February 15, 2016 12:32:10 UTC 2016 年 2 月 15 日 (月) 21 時 32 分 10 秒 (日本時間)
composite number 合成数
800824784030374004238451917414359492455514252888388303143775236653400439614174095200305070826396559274237262288391181907698137588200614269816118949463249600206430726247781310297020517581483571273869<198>
prime factors 素因数
147442362537071797178302541204812003<36>
composite cofactor 合成数の残り
5431442973718090361793127478348372712627004293594781587294317096691583562605062010707763470462320399284571560866572141280539795180739048483463409656769907263132623<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4015962571
Step 1 took 20437ms
Step 2 took 7166ms
********** Factor found in step 2: 147442362537071797178302541204812003
Found probable prime factor of 36 digits: 147442362537071797178302541204812003

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:13:53 UTC 2016 年 2 月 15 日 (月) 7 時 13 分 53 秒 (日本時間)
4511e61600Dmitry DomanovFebruary 15, 2016 14:03:38 UTC 2016 年 2 月 15 日 (月) 23 時 3 分 38 秒 (日本時間)
5043e6600 / 6963Dmitry DomanovFebruary 27, 2016 20:24:17 UTC 2016 年 2 月 28 日 (日) 5 時 24 分 17 秒 (日本時間)
5511e780 / 17445Dmitry DomanovFebruary 29, 2016 21:18:43 UTC 2016 年 3 月 1 日 (火) 6 時 18 分 43 秒 (日本時間)
6026e72 / 41891Dmitry DomanovFebruary 29, 2016 21:19:15 UTC 2016 年 3 月 1 日 (火) 6 時 19 分 15 秒 (日本時間)

19×10279+719

c267

composite cofactor 合成数の残り
877635053453684694947529604741264265445753942407823279287067885562958151849337007841785095195116361873829534595031900445327852667749895901804694106387560960736021867572341131970303653368692670482839036490069574617948924128671052234299767988781539182502809373480953417<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:26:52 UTC 2016 年 2 月 15 日 (月) 23 時 26 分 52 秒 (日本時間)

19×10280+719

c269

composite cofactor 合成数の残り
64182833913413715530976633291884323794228673616920073100786318779603761276368687669546896275588908846455528413145482224262503730778139550520854685832115080939823014326491287672824005092621421014796427862779559913166783064920331219771056253143277374961334758423313871729<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:27:07 UTC 2016 年 2 月 15 日 (月) 23 時 27 分 7 秒 (日本時間)

19×10281+719

c267

composite cofactor 合成数の残り
390611056293752539796933096688298244230611659477394542839030336013343739246151619001530589014464689204776612867941060157716591560683810589868249331244514045970597654442717634030193632660117754957150245683440179144231722799944062478661843333440803470714683375499749567<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:27:23 UTC 2016 年 2 月 15 日 (月) 23 時 27 分 23 秒 (日本時間)

19×10282+719

c255

composite cofactor 合成数の残り
783601912336907883092576275452832397462780269334243390794718578106668390754754375769949079598033225250541453385914662781854079331564071594990458056462732958881822579774763138922416232610894331136298408530827885584288457873868539109046312979999363059538401<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:27:41 UTC 2016 年 2 月 15 日 (月) 23 時 27 分 41 秒 (日本時間)

19×10284+719

c162

name 名前Dmitry Domanov
date 日付February 14, 2016 10:52:35 UTC 2016 年 2 月 14 日 (日) 19 時 52 分 35 秒 (日本時間)
composite number 合成数
239442371966305150950272580726097369959658113173772659310466962847067015760975169914007999830359256062445030463687808423890821164648185781225741871024855311358469<162>
prime factors 素因数
28933791515141440025475928688377697<35>
8275526967870828670589119499525968184576759591637529240411371723648622789340807034194737988415957240928640187563303345057501477<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3528103366
Step 1 took 27154ms
Step 2 took 9551ms
********** Factor found in step 2: 28933791515141440025475928688377697
Found probable prime factor of 35 digits: 28933791515141440025475928688377697

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovFebruary 13, 2016 23:57:41 UTC 2016 年 2 月 14 日 (日) 8 時 57 分 41 秒 (日本時間)

19×10285+719

c235

composite cofactor 合成数の残り
6034633644720782808024906844294786632314246545990688555451071509189701228019875081588871270749711087922269112622101542744533572714287982606769604519204017291021064961645101948239765390902077611789618590383350730564348056542989550190623<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:14:12 UTC 2016 年 2 月 15 日 (月) 7 時 14 分 12 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:17:39 UTC 2016 年 2 月 17 日 (水) 1 時 17 分 39 秒 (日本時間)

19×10287+719

c262

composite cofactor 合成数の残り
2950222243324164172989571964497829463807654069751946399031657456554150567016799188275780321305353268770115574000228806485613847143054653350743094617671504162213400967548863107802564571579491085024111749533501404395941631822457732370801117352983018627558144096441<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:29:20 UTC 2016 年 2 月 15 日 (月) 23 時 29 分 20 秒 (日本時間)

19×10288+719

c280

composite cofactor 合成数の残り
2732764228365248669007865765762727071886230751705220319579283939660369653989652009401875116753486233819074853993718189978047131073054000739639322651817203258852812263094107076552500463080921891873787581552762793344726851622269692149123099086452006192631870718321996880195524608951<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61200 / 2104Dmitry DomanovFebruary 14, 2016 00:07:07 UTC 2016 年 2 月 14 日 (日) 9 時 7 分 7 秒 (日本時間)

19×10289+719

c254

composite cofactor 合成数の残り
49035113862942988155856357509728839516524367713081745694478172457216968547841854398791932544930512394108816098778821368048839560699451329881606458329775250181121372158125047624761307012732903642545978912263591591369821946287664846193131434330394103068669<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:29:42 UTC 2016 年 2 月 15 日 (月) 23 時 29 分 42 秒 (日本時間)

19×10290+719

c278

composite cofactor 合成数の残り
89799181688861453427548374141562862165796047065777038232457481063450012680378494246589219588912494670892621963265049212339343933333278138757840637569488888433853059126552477595256400573668594193943895919818355468653267356106631281478576855497964269759448854705329458486447217681<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:30:01 UTC 2016 年 2 月 15 日 (月) 23 時 30 分 1 秒 (日本時間)

19×10292+719

c253

composite cofactor 合成数の残り
6358130088124684948600198382329024411121411591235926477068804206340549602042862135548276575225016569556035245884754789857693258216305426416194444964700824124857301699154350851691859250920455962719937774492935569423235905205207304565803091570089394066083<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:30:17 UTC 2016 年 2 月 15 日 (月) 23 時 30 分 17 秒 (日本時間)

19×10295+719

c270

composite cofactor 合成数の残り
471010112390874446977493497494863797147401384880182237753119170216424551764889242344503434549593249097963750050003426572260104724057580651017283013836207757875207179862167286896993297716502318098338330009711787404278706821849764083562513983462091395395976617255871720717<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:30:36 UTC 2016 年 2 月 15 日 (月) 23 時 30 分 36 秒 (日本時間)

19×10297+719

c205

name 名前Dmitry Domanov
date 日付February 20, 2016 20:20:31 UTC 2016 年 2 月 21 日 (日) 5 時 20 分 31 秒 (日本時間)
composite number 合成数
1500888249434317528481521912131203204329802583836176981653444440608347389416285340343281081630364681918492134003225153007027537470240782125925139664587436558279532683386767557952316517901544824238434958591<205>
prime factors 素因数
39568932729043852050701825636175620790937360761811<50>
37930976296781840283984013554810646237366493277696223036348733517056037146154325460232126783696169101483250189859808578503405435107511163363040439164002981<155>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3056604061
Step 1 took 393503ms
Step 2 took 95618ms
********** Factor found in step 2: 39568932729043852050701825636175620790937360761811
Found probable prime factor of 50 digits: 39568932729043852050701825636175620790937360761811

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e626811200Dmitry DomanovFebruary 13, 2016 23:56:21 UTC 2016 年 2 月 14 日 (日) 8 時 56 分 21 秒 (日本時間)
1481Ignacio SantosFebruary 14, 2016 21:10:42 UTC 2016 年 2 月 15 日 (月) 6 時 10 分 42 秒 (日本時間)
4511e61800Dmitry DomanovFebruary 15, 2016 14:05:32 UTC 2016 年 2 月 15 日 (月) 23 時 5 分 32 秒 (日本時間)
5043e6600 / 7043Dmitry DomanovFebruary 19, 2016 15:34:54 UTC 2016 年 2 月 20 日 (土) 0 時 34 分 54 秒 (日本時間)

19×10298+719

c247

composite cofactor 合成数の残り
4435211603085258151657468082504827419300140306524023525110746963334522901948266450768821006632296636892331251284635953954105197119156649605236382213322128652395043324697964277269479182244635389344364194478674631598915129820302464323397477155243067<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovFebruary 15, 2016 14:30:57 UTC 2016 年 2 月 15 日 (月) 23 時 30 分 57 秒 (日本時間)

19×10299+719

c233

composite cofactor 合成数の残り
10878113727116505201188613085257736682811915717670621072471023472546629983053710006055369353133660439536774084076305050581876858747451893027284782450216986820215653918840529428557946928551050951985269683646959199047014564574750666221<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovFebruary 14, 2016 22:14:49 UTC 2016 年 2 月 15 日 (月) 7 時 14 分 49 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 16, 2016 16:18:33 UTC 2016 年 2 月 17 日 (水) 1 時 18 分 33 秒 (日本時間)

19×10300+719

c259

composite cofactor 合成数の残り
7352586909708464524648365421514981377864884259314247776020841696781027318761244979619200332855634214791113272245118373826942144699048982218724601566453975067214066244590440827403785662514956265309906607686403043100933500348193131257323168224022699138116588257<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaFebruary 13, 2016 07:00:00 UTC 2016 年 2 月 13 日 (土) 16 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovFebruary 14, 2016 00:04:37 UTC 2016 年 2 月 14 日 (日) 9 時 4 分 37 秒 (日本時間)
4511e61200Dmitry DomanovFebruary 15, 2016 21:23:54 UTC 2016 年 2 月 16 日 (火) 6 時 23 分 54 秒 (日本時間)
5043e6800 / 7176Dmitry DomanovFebruary 17, 2016 14:27:22 UTC 2016 年 2 月 17 日 (水) 23 時 27 分 22 秒 (日本時間)
5511e724 / 17399Dmitry DomanovFebruary 18, 2016 10:46:59 UTC 2016 年 2 月 18 日 (木) 19 時 46 分 59 秒 (日本時間)