Table of contents 目次

32×10106+319

c100

name 名前Serge Batalov
date 日付November 25, 2008 06:37:56 UTC 2008 年 11 月 25 日 (火) 15 時 37 分 56 秒 (日本時間)
composite number 合成数
6506690331499402329992940850992541726540926096014877872777489958397645358902836996284822154564842819<100>
prime factors 素因数
3571013824957159595463095741<28>
1822084889737849498179943594910491438357264930935924835236634397925820159<73>
factorization results 素因数分解の結果
Factor found in step 2: 3571013824957159595463095741
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10111+319

c88

name 名前Sinkiti Sibata
date 日付November 25, 2008 08:18:38 UTC 2008 年 11 月 25 日 (火) 17 時 18 分 38 秒 (日本時間)
composite number 合成数
1898160691553993157407449678245732393464881155578512112540299285983401084722145598193201<88>
prime factors 素因数
487569966093755841400317894390408449<36>
3893104217967748849798424193291740807807864809580849<52>
factorization results 素因数分解の結果
Tue Nov 25 16:11:38 2008  Msieve v. 1.38
Tue Nov 25 16:11:38 2008  random seeds: 4901283c 27d5cc06
Tue Nov 25 16:11:38 2008  factoring 1898160691553993157407449678245732393464881155578512112540299285983401084722145598193201 (88 digits)
Tue Nov 25 16:11:39 2008  searching for 15-digit factors
Tue Nov 25 16:11:41 2008  commencing quadratic sieve (88-digit input)
Tue Nov 25 16:11:41 2008  using multiplier of 1
Tue Nov 25 16:11:41 2008  using 32kb Intel Core sieve core
Tue Nov 25 16:11:41 2008  sieve interval: 24 blocks of size 32768
Tue Nov 25 16:11:41 2008  processing polynomials in batches of 9
Tue Nov 25 16:11:41 2008  using a sieve bound of 1508383 (57034 primes)
Tue Nov 25 16:11:41 2008  using large prime bound of 120670640 (26 bits)
Tue Nov 25 16:11:41 2008  using double large prime bound of 352275850752880 (42-49 bits)
Tue Nov 25 16:11:41 2008  using trial factoring cutoff of 49 bits
Tue Nov 25 16:11:41 2008  polynomial 'A' values have 11 factors
Tue Nov 25 17:12:53 2008  57299 relations (14815 full + 42484 combined from 613221 partial), need 57130
Tue Nov 25 17:12:56 2008  begin with 628036 relations
Tue Nov 25 17:12:56 2008  reduce to 140932 relations in 10 passes
Tue Nov 25 17:12:56 2008  attempting to read 140932 relations
Tue Nov 25 17:12:59 2008  recovered 140932 relations
Tue Nov 25 17:12:59 2008  recovered 122059 polynomials
Tue Nov 25 17:12:59 2008  attempting to build 57299 cycles
Tue Nov 25 17:12:59 2008  found 57299 cycles in 5 passes
Tue Nov 25 17:12:59 2008  distribution of cycle lengths:
Tue Nov 25 17:12:59 2008     length 1 : 14815
Tue Nov 25 17:12:59 2008     length 2 : 11055
Tue Nov 25 17:12:59 2008     length 3 : 10130
Tue Nov 25 17:12:59 2008     length 4 : 7717
Tue Nov 25 17:12:59 2008     length 5 : 5412
Tue Nov 25 17:12:59 2008     length 6 : 3622
Tue Nov 25 17:12:59 2008     length 7 : 2122
Tue Nov 25 17:12:59 2008     length 9+: 2426
Tue Nov 25 17:12:59 2008  largest cycle: 20 relations
Tue Nov 25 17:12:59 2008  matrix is 57034 x 57299 (13.4 MB) with weight 3274244 (57.14/col)
Tue Nov 25 17:12:59 2008  sparse part has weight 3274244 (57.14/col)
Tue Nov 25 17:13:00 2008  filtering completed in 3 passes
Tue Nov 25 17:13:00 2008  matrix is 53372 x 53436 (12.5 MB) with weight 3072775 (57.50/col)
Tue Nov 25 17:13:00 2008  sparse part has weight 3072775 (57.50/col)
Tue Nov 25 17:13:00 2008  saving the first 48 matrix rows for later
Tue Nov 25 17:13:00 2008  matrix is 53324 x 53436 (8.0 MB) with weight 2417387 (45.24/col)
Tue Nov 25 17:13:00 2008  sparse part has weight 1766360 (33.06/col)
Tue Nov 25 17:13:00 2008  matrix includes 64 packed rows
Tue Nov 25 17:13:00 2008  using block size 21374 for processor cache size 2048 kB
Tue Nov 25 17:13:00 2008  commencing Lanczos iteration
Tue Nov 25 17:13:00 2008  memory use: 7.9 MB
Tue Nov 25 17:13:17 2008  lanczos halted after 845 iterations (dim = 53320)
Tue Nov 25 17:13:17 2008  recovered 14 nontrivial dependencies
Tue Nov 25 17:13:18 2008  prp36 factor: 487569966093755841400317894390408449
Tue Nov 25 17:13:18 2008  prp52 factor: 3893104217967748849798424193291740807807864809580849
Tue Nov 25 17:13:18 2008  elapsed time 01:01:40

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10112+319

c112

name 名前Serge Batalov
date 日付November 25, 2008 06:10:09 UTC 2008 年 11 月 25 日 (火) 15 時 10 分 9 秒 (日本時間)
composite number 合成数
1316872427983539094650205761316872427983539094650205761316872427983539094650205761316872427983539094650205761317<112>
prime factors 素因数
779171800996810039027022481680618939<36>
1690092513998630224825837674006645536944911498054409463644922048126340665503<76>
factorization results 素因数分解の結果
SNFS difficulty: 113 digits.
Divisors found:
 r1=779171800996810039027022481680618939 (pp36)
 r2=1690092513998630224825837674006645536944911498054409463644922048126340665503 (pp76)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.530).
Factorization parameters were as follows:
n: 1316872427983539094650205761316872427983539094650205761316872427983539094650205761316872427983539094650205761317
m: 20000000000000000000000
deg: 5
c5: 100
c0: 31
skew: 0.79
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 47
mfba: 47
rlambda: 2.4
alambda: 2.4
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved rational special-q in [275000, 375001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 70160 x 70392
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,550000,550000,25,25,47,47,2.4,2.4,50000
total time: 0.40 hours.
software ソフトウェア
Msieve-1.39
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10113+319

c104

name 名前Sinkiti Sibata
date 日付November 25, 2008 13:15:38 UTC 2008 年 11 月 25 日 (火) 22 時 15 分 38 秒 (日本時間)
composite number 合成数
10142971320653820632723339542539382492089008306725584839857993969919889375979466051668360765372800808867<104>
prime factors 素因数
2169685434607141957872712202903<31>
4674858004238930698030761281227982249602384821440497976576836629122533589<73>
factorization results 素因数分解の結果
Number: 35559_113
N=10142971320653820632723339542539382492089008306725584839857993969919889375979466051668360765372800808867
  ( 104 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=2169685434607141957872712202903 (pp31)
 r2=4674858004238930698030761281227982249602384821440497976576836629122533589 (pp73)
Version: GGNFS-0.77.1-20060513-k8
Total time: 1.57 hours.
Scaled time: 3.08 units (timescale=1.967).
Factorization parameters were as follows:
name: 35559_113
n: 10142971320653820632723339542539382492089008306725584839857993969919889375979466051668360765372800808867
m: 40000000000000000000000
deg: 5
c5: 125
c0: 124
skew: 1.00
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 440001)
Primes: RFBsize:47588, AFBsize:47780, largePrimes:1340429 encountered
Relations: rels:1372204, finalFF:195899
Max relations in full relation-set: 28
Initial matrix: 95434 x 195899 with sparse part having weight 9478162.
Pruned matrix : 67455 x 67996 with weight 2513133.
Total sieving time: 1.49 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,50000
total time: 1.57 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10116+319

c100

name 名前Serge Batalov
date 日付November 25, 2008 06:39:06 UTC 2008 年 11 月 25 日 (火) 15 時 39 分 6 秒 (日本時間)
composite number 合成数
4122404505025210243743561171449975711519261604442284788428272074821127296959687698385785994024343813<100>
prime factors 素因数
1726129193205343241018771466495207041016209<43>
2388236362175239596226223470142158679479256151585078511157<58>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2138698920
Step 1 took 11101ms
Step 2 took 8108ms
********** Factor found in step 2: 1726129193205343241018771466495207041016209
Found probable prime factor of 43 digits: 1726129193205343241018771466495207041016209
Probable prime cofactor 2388236362175239596226223470142158679479256151585078511157 has 58 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10120+319

c116

name 名前Sinkiti Sibata
date 日付November 25, 2008 12:13:31 UTC 2008 年 11 月 25 日 (火) 21 時 13 分 31 秒 (日本時間)
composite number 合成数
87469693118048551146536336823920774325458327524799024712921733758654716119844413283366271139648098490874450922668591<116>
prime factors 素因数
3113032816097266174778764676807<31>
28097902683758787473437650239350518110448549347179343214543208493496692074850718804313<86>
factorization results 素因数分解の結果
Number: 35559_120
N=87469693118048551146536336823920774325458327524799024712921733758654716119844413283366271139648098490874450922668591
  ( 116 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=3113032816097266174778764676807 (pp31)
 r2=28097902683758787473437650239350518110448549347179343214543208493496692074850718804313 (pp86)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.50 hours.
Scaled time: 5.00 units (timescale=2.003).
Factorization parameters were as follows:
name: 35559_120
n: 87469693118048551146536336823920774325458327524799024712921733758654716119844413283366271139648098490874450922668591
m: 2000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 620001)
Primes: RFBsize:59531, AFBsize:59539, largePrimes:1702979 encountered
Relations: rels:1960859, finalFF:410760
Max relations in full relation-set: 28
Initial matrix: 119134 x 410760 with sparse part having weight 19379073.
Pruned matrix : 67073 x 67732 with weight 3827093.
Total sieving time: 2.41 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 2.50 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10122+319

c90

name 名前Sinkiti Sibata
date 日付November 25, 2008 10:38:15 UTC 2008 年 11 月 25 日 (火) 19 時 38 分 15 秒 (日本時間)
composite number 合成数
431881922608567386526197281175982703937335426667558565328396228433888608545324127306075503<90>
prime factors 素因数
42723292270746693182558544322045801<35>
10108816517969606422105778729319311803504197245858958103<56>
factorization results 素因数分解の結果
Tue Nov 25 18:15:00 2008  Msieve v. 1.38
Tue Nov 25 18:15:00 2008  random seeds: d1551f0c 1ce83f3a
Tue Nov 25 18:15:00 2008  factoring 431881922608567386526197281175982703937335426667558565328396228433888608545324127306075503 (90 digits)
Tue Nov 25 18:15:01 2008  searching for 15-digit factors
Tue Nov 25 18:15:03 2008  commencing quadratic sieve (90-digit input)
Tue Nov 25 18:15:03 2008  using multiplier of 7
Tue Nov 25 18:15:03 2008  using 32kb Intel Core sieve core
Tue Nov 25 18:15:03 2008  sieve interval: 36 blocks of size 32768
Tue Nov 25 18:15:03 2008  processing polynomials in batches of 6
Tue Nov 25 18:15:03 2008  using a sieve bound of 1584929 (59679 primes)
Tue Nov 25 18:15:03 2008  using large prime bound of 126794320 (26 bits)
Tue Nov 25 18:15:03 2008  using double large prime bound of 385105414448400 (42-49 bits)
Tue Nov 25 18:15:03 2008  using trial factoring cutoff of 49 bits
Tue Nov 25 18:15:03 2008  polynomial 'A' values have 12 factors
Tue Nov 25 19:31:03 2008  60194 relations (15958 full + 44236 combined from 638107 partial), need 59775
Tue Nov 25 19:31:05 2008  begin with 654065 relations
Tue Nov 25 19:31:05 2008  reduce to 146856 relations in 10 passes
Tue Nov 25 19:31:05 2008  attempting to read 146856 relations
Tue Nov 25 19:31:08 2008  recovered 146856 relations
Tue Nov 25 19:31:08 2008  recovered 125328 polynomials
Tue Nov 25 19:31:08 2008  attempting to build 60194 cycles
Tue Nov 25 19:31:08 2008  found 60194 cycles in 5 passes
Tue Nov 25 19:31:08 2008  distribution of cycle lengths:
Tue Nov 25 19:31:08 2008     length 1 : 15958
Tue Nov 25 19:31:08 2008     length 2 : 11650
Tue Nov 25 19:31:08 2008     length 3 : 10547
Tue Nov 25 19:31:08 2008     length 4 : 8074
Tue Nov 25 19:31:08 2008     length 5 : 5654
Tue Nov 25 19:31:08 2008     length 6 : 3590
Tue Nov 25 19:31:08 2008     length 7 : 2148
Tue Nov 25 19:31:08 2008     length 9+: 2573
Tue Nov 25 19:31:08 2008  largest cycle: 20 relations
Tue Nov 25 19:31:09 2008  matrix is 59679 x 60194 (14.7 MB) with weight 3625687 (60.23/col)
Tue Nov 25 19:31:09 2008  sparse part has weight 3625687 (60.23/col)
Tue Nov 25 19:31:09 2008  filtering completed in 3 passes
Tue Nov 25 19:31:09 2008  matrix is 55677 x 55741 (13.7 MB) with weight 3363925 (60.35/col)
Tue Nov 25 19:31:09 2008  sparse part has weight 3363925 (60.35/col)
Tue Nov 25 19:31:09 2008  saving the first 48 matrix rows for later
Tue Nov 25 19:31:09 2008  matrix is 55629 x 55741 (8.7 MB) with weight 2647142 (47.49/col)
Tue Nov 25 19:31:09 2008  sparse part has weight 1945354 (34.90/col)
Tue Nov 25 19:31:09 2008  matrix includes 64 packed rows
Tue Nov 25 19:31:09 2008  using block size 22296 for processor cache size 2048 kB
Tue Nov 25 19:31:10 2008  commencing Lanczos iteration
Tue Nov 25 19:31:10 2008  memory use: 8.4 MB
Tue Nov 25 19:31:28 2008  lanczos halted after 881 iterations (dim = 55626)
Tue Nov 25 19:31:29 2008  recovered 16 nontrivial dependencies
Tue Nov 25 19:31:29 2008  prp35 factor: 42723292270746693182558544322045801
Tue Nov 25 19:31:29 2008  prp56 factor: 10108816517969606422105778729319311803504197245858958103
Tue Nov 25 19:31:29 2008  elapsed time 01:16:29

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10125+319

c107

name 名前Sinkiti Sibata
date 日付November 25, 2008 15:25:37 UTC 2008 年 11 月 26 日 (水) 0 時 25 分 37 秒 (日本時間)
composite number 合成数
45261293527849611944009007470516564747912317071464403030095643688236704332954890087226456720792950338179247<107>
prime factors 素因数
855863039493258726374436148063275096378011<42>
52883804346368337523551464619943154719770857071655107899081988477<65>
factorization results 素因数分解の結果
Number: 35559_125
N=45261293527849611944009007470516564747912317071464403030095643688236704332954890087226456720792950338179247
  ( 107 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=855863039493258726374436148063275096378011 (pp42)
 r2=52883804346368337523551464619943154719770857071655107899081988477 (pp65)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.93 hours.
Scaled time: 5.68 units (timescale=1.937).
Factorization parameters were as follows:
name: 35559_125
n: 45261293527849611944009007470516564747912317071464403030095643688236704332954890087226456720792950338179247
m: 20000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 700001)
Primes: RFBsize:71274, AFBsize:71376, largePrimes:2868761 encountered
Relations: rels:3072916, finalFF:475953
Max relations in full relation-set: 28
Initial matrix: 142714 x 475953 with sparse part having weight 34254737.
Pruned matrix : 85856 x 86633 with weight 6376451.
Total sieving time: 2.80 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 2.93 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10126+319

c119

name 名前Sinkiti Sibata
date 日付November 26, 2008 04:42:11 UTC 2008 年 11 月 26 日 (水) 13 時 42 分 11 秒 (日本時間)
composite number 合成数
30827033561696818920547317912296682985467455294243365821760968493838218835810931402703270162258254920607002902651323239<119>
prime factors 素因数
680997224473041479842187137587524564706549553049407<51>
45267487816196178055544763426310297914032845214592067327606904162777<68>
factorization results 素因数分解の結果
Number: 35559_126
N=30827033561696818920547317912296682985467455294243365821760968493838218835810931402703270162258254920607002902651323239
  ( 119 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=680997224473041479842187137587524564706549553049407 (pp51)
 r2=45267487816196178055544763426310297914032845214592067327606904162777 (pp68)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.64 hours.
Scaled time: 1.72 units (timescale=0.472).
Factorization parameters were as follows:
name: 35559_126
n: 30827033561696818920547317912296682985467455294243365821760968493838218835810931402703270162258254920607002902651323239
m: 20000000000000000000000000
deg: 5
c5: 10
c0: 31
skew: 1.25
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 765001)
Primes: RFBsize:73474, AFBsize:73628, largePrimes:2612797 encountered
Relations: rels:2582628, finalFF:264069
Max relations in full relation-set: 28
Initial matrix: 147168 x 264069 with sparse part having weight 19890177.
Pruned matrix : 113591 x 114390 with weight 6088730.
Total sieving time: 3.36 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,50000
total time: 3.64 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10127+319

c108

name 名前Sinkiti Sibata
date 日付November 25, 2008 20:19:22 UTC 2008 年 11 月 26 日 (水) 5 時 19 分 22 秒 (日本時間)
composite number 合成数
503176204472369347528704149914346319811344140205384244788935122030122608807740644710994427251286623921948287<108>
prime factors 素因数
93598957773679097998335210590339756869624650269513<50>
5375874010147014698096140847150062199888070164109434270599<58>
factorization results 素因数分解の結果
Number: 35559_127
N=503176204472369347528704149914346319811344140205384244788935122030122608807740644710994427251286623921948287
  ( 108 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=93598957773679097998335210590339756869624650269513 (pp50)
 r2=5375874010147014698096140847150062199888070164109434270599 (pp58)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.91 hours.
Scaled time: 5.49 units (timescale=1.885).
Factorization parameters were as follows:
name: 35559_127
n: 503176204472369347528704149914346319811344140205384244788935122030122608807740644710994427251286623921948287
m: 20000000000000000000000000
deg: 5
c5: 100
c0: 31
skew: 0.79
type: snfs
lss: 1
rlim: 970000
alim: 970000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 970000/970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [485000, 735001)
Primes: RFBsize:76350, AFBsize:76308, largePrimes:2524019 encountered
Relations: rels:2393135, finalFF:184054
Max relations in full relation-set: 28
Initial matrix: 152722 x 184054 with sparse part having weight 12789703.
Pruned matrix : 140139 x 140966 with weight 7598605.
Total sieving time: 2.69 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,970000,970000,26,26,47,47,2.3,2.3,50000
total time: 2.91 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10128+319

c94

name 名前Sinkiti Sibata
date 日付November 25, 2008 20:12:07 UTC 2008 年 11 月 26 日 (水) 5 時 12 分 7 秒 (日本時間)
composite number 合成数
1036992028443535661266653954091510658049072752976818609735661966213284022836424574186379455819<94>
prime factors 素因数
8411554247231991338364718226661881690595399127<46>
123281857069967884883915224017233748896454151597<48>
factorization results 素因数分解の結果
Wed Nov 26 00:36:44 2008  Msieve v. 1.38
Wed Nov 26 00:36:44 2008  random seeds: 7e6bef0c f76e70b4
Wed Nov 26 00:36:44 2008  factoring 1036992028443535661266653954091510658049072752976818609735661966213284022836424574186379455819 (94 digits)
Wed Nov 26 00:36:45 2008  searching for 15-digit factors
Wed Nov 26 00:36:46 2008  commencing quadratic sieve (94-digit input)
Wed Nov 26 00:36:47 2008  using multiplier of 3
Wed Nov 26 00:36:47 2008  using 32kb Intel Core sieve core
Wed Nov 26 00:36:47 2008  sieve interval: 36 blocks of size 32768
Wed Nov 26 00:36:47 2008  processing polynomials in batches of 6
Wed Nov 26 00:36:47 2008  using a sieve bound of 1956287 (72941 primes)
Wed Nov 26 00:36:47 2008  using large prime bound of 244535875 (27 bits)
Wed Nov 26 00:36:47 2008  using double large prime bound of 1256078084807500 (42-51 bits)
Wed Nov 26 00:36:47 2008  using trial factoring cutoff of 51 bits
Wed Nov 26 00:36:47 2008  polynomial 'A' values have 12 factors
Wed Nov 26 00:36:47 2008  restarting with 10856 full and 592550 partial relations
Wed Nov 26 01:45:42 2008  73117 relations (18244 full + 54873 combined from 1001025 partial), need 73037
Wed Nov 26 01:45:44 2008  begin with 1019269 relations
Wed Nov 26 01:45:45 2008  reduce to 187744 relations in 12 passes
Wed Nov 26 01:45:45 2008  attempting to read 187744 relations
Wed Nov 26 01:45:47 2008  recovered 187744 relations
Wed Nov 26 01:45:47 2008  recovered 170550 polynomials
Wed Nov 26 01:45:48 2008  attempting to build 73117 cycles
Wed Nov 26 01:45:48 2008  found 73117 cycles in 5 passes
Wed Nov 26 01:45:48 2008  distribution of cycle lengths:
Wed Nov 26 01:45:48 2008     length 1 : 18244
Wed Nov 26 01:45:48 2008     length 2 : 13033
Wed Nov 26 01:45:48 2008     length 3 : 12520
Wed Nov 26 01:45:48 2008     length 4 : 10040
Wed Nov 26 01:45:48 2008     length 5 : 7217
Wed Nov 26 01:45:48 2008     length 6 : 4975
Wed Nov 26 01:45:48 2008     length 7 : 3133
Wed Nov 26 01:45:48 2008     length 9+: 3955
Wed Nov 26 01:45:48 2008  largest cycle: 18 relations
Wed Nov 26 01:45:48 2008  matrix is 72941 x 73117 (18.6 MB) with weight 4579830 (62.64/col)
Wed Nov 26 01:45:48 2008  sparse part has weight 4579830 (62.64/col)
Wed Nov 26 01:45:49 2008  filtering completed in 3 passes
Wed Nov 26 01:45:49 2008  matrix is 69223 x 69287 (17.7 MB) with weight 4366954 (63.03/col)
Wed Nov 26 01:45:49 2008  sparse part has weight 4366954 (63.03/col)
Wed Nov 26 01:45:49 2008  saving the first 48 matrix rows for later
Wed Nov 26 01:45:49 2008  matrix is 69175 x 69287 (10.6 MB) with weight 3397331 (49.03/col)
Wed Nov 26 01:45:49 2008  sparse part has weight 2369792 (34.20/col)
Wed Nov 26 01:45:49 2008  matrix includes 64 packed rows
Wed Nov 26 01:45:49 2008  using block size 27714 for processor cache size 1024 kB
Wed Nov 26 01:45:50 2008  commencing Lanczos iteration
Wed Nov 26 01:45:50 2008  memory use: 10.6 MB
Wed Nov 26 01:46:21 2008  lanczos halted after 1096 iterations (dim = 69175)
Wed Nov 26 01:46:21 2008  recovered 18 nontrivial dependencies
Wed Nov 26 01:46:22 2008  prp46 factor: 8411554247231991338364718226661881690595399127
Wed Nov 26 01:46:22 2008  prp48 factor: 123281857069967884883915224017233748896454151597
Wed Nov 26 01:46:22 2008  elapsed time 01:09:38

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10131+319

c115

name 名前Sinkiti Sibata
date 日付November 26, 2008 12:22:47 UTC 2008 年 11 月 26 日 (水) 21 時 22 分 47 秒 (日本時間)
composite number 合成数
1336340884707403852333814649696063832094289430719468240561408485925328779819885140490430012885296587458038921257099<115>
prime factors 素因数
844138519262383556289425467818988709704541<42>
1583082461247132173875334710522972730177912267910497115891734314149580039<73>
factorization results 素因数分解の結果
Number: 35559_131
N=1336340884707403852333814649696063832094289430719468240561408485925328779819885140490430012885296587458038921257099
  ( 115 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=844138519262383556289425467818988709704541 (pp42)
 r2=1583082461247132173875334710522972730177912267910497115891734314149580039 (pp73)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 5.16 hours.
Scaled time: 2.43 units (timescale=0.471).
Factorization parameters were as follows:
name: 35559_131
n: 1336340884707403852333814649696063832094289430719468240561408485925328779819885140490430012885296587458038921257099
m: 200000000000000000000000000
deg: 5
c5: 10
c0: 31
skew: 1.25
type: snfs
lss: 1
rlim: 1130000
alim: 1130000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1130000/1130000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [565000, 965001)
Primes: RFBsize:87884, AFBsize:88119, largePrimes:2834235 encountered
Relations: rels:2738680, finalFF:224186
Max relations in full relation-set: 28
Initial matrix: 176069 x 224186 with sparse part having weight 17121575.
Pruned matrix : 157598 x 158542 with weight 9354096.
Total sieving time: 4.65 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1130000,1130000,26,26,47,47,2.3,2.3,50000
total time: 5.16 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10136+319

c125

name 名前Serge Batalov
date 日付November 25, 2008 08:42:02 UTC 2008 年 11 月 25 日 (火) 17 時 42 分 2 秒 (日本時間)
composite number 合成数
21247667663166489931350123717390267203298756541150801986024337783808450946985034404344937511454879527166808520365870780470373<125>
prime factors 素因数
4761415135792806704700849085613258322433<40>
composite cofactor 合成数の残り
4462469046952490638354343160769488971248707524461871437573226959519017881746418670181<85>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1947702416
Step 1 took 15638ms
Step 2 took 12168ms
********** Factor found in step 2: 4761415135792806704700849085613258322433
Found probable prime factor of 40 digits: 4761415135792806704700849085613258322433
Composite cofactor 4462469046952490638354343160769488971248707524461871437573226959519017881746418670181 has 85 digits
software ソフトウェア
GMP-ECM 6.2.1

c85

name 名前Erik Branger
date 日付November 25, 2008 20:55:25 UTC 2008 年 11 月 26 日 (水) 5 時 55 分 25 秒 (日本時間)
composite number 合成数
4462469046952490638354343160769488971248707524461871437573226959519017881746418670181<85>
prime factors 素因数
92123373788344372285635615769596739<35>
48440139168210650866664274877353596332333457620279<50>
factorization results 素因数分解の結果
Tue Nov 25 20:57:27 2008  Msieve v. 1.38
Tue Nov 25 20:57:27 2008  random seeds: cf745a60 a52fd4cc
Tue Nov 25 20:57:27 2008  factoring 4462469046952490638354343160769488971248707524461871437573226959519017881746418670181 (85 digits)
Tue Nov 25 20:57:28 2008  searching for 15-digit factors
Tue Nov 25 20:57:30 2008  commencing quadratic sieve (85-digit input)
Tue Nov 25 20:57:30 2008  using multiplier of 1
Tue Nov 25 20:57:30 2008  using 64kb Pentium 4 sieve core
Tue Nov 25 20:57:30 2008  sieve interval: 6 blocks of size 65536
Tue Nov 25 20:57:30 2008  processing polynomials in batches of 17
Tue Nov 25 20:57:30 2008  using a sieve bound of 1434241 (54676 primes)
Tue Nov 25 20:57:30 2008  using large prime bound of 116173521 (26 bits)
Tue Nov 25 20:57:30 2008  using double large prime bound of 328997602795950 (41-49 bits)
Tue Nov 25 20:57:30 2008  using trial factoring cutoff of 49 bits
Tue Nov 25 20:57:30 2008  polynomial 'A' values have 11 factors
Tue Nov 25 21:50:59 2008  54899 relations (15846 full + 39053 combined from 576302 partial), need 54772
Tue Nov 25 21:51:02 2008  begin with 592148 relations
Tue Nov 25 21:51:02 2008  reduce to 130381 relations in 10 passes
Tue Nov 25 21:51:02 2008  attempting to read 130381 relations
Tue Nov 25 21:51:06 2008  recovered 130381 relations
Tue Nov 25 21:51:06 2008  recovered 111038 polynomials
Tue Nov 25 21:51:07 2008  attempting to build 54899 cycles
Tue Nov 25 21:51:07 2008  found 54899 cycles in 5 passes
Tue Nov 25 21:51:07 2008  distribution of cycle lengths:
Tue Nov 25 21:51:07 2008     length 1 : 15846
Tue Nov 25 21:51:07 2008     length 2 : 10901
Tue Nov 25 21:51:07 2008     length 3 : 9452
Tue Nov 25 21:51:07 2008     length 4 : 7155
Tue Nov 25 21:51:07 2008     length 5 : 4909
Tue Nov 25 21:51:07 2008     length 6 : 2926
Tue Nov 25 21:51:07 2008     length 7 : 1730
Tue Nov 25 21:51:07 2008     length 9+: 1980
Tue Nov 25 21:51:07 2008  largest cycle: 16 relations
Tue Nov 25 21:51:07 2008  matrix is 54676 x 54899 (11.8 MB) with weight 2881914 (52.49/col)
Tue Nov 25 21:51:07 2008  sparse part has weight 2881914 (52.49/col)
Tue Nov 25 21:51:08 2008  filtering completed in 3 passes
Tue Nov 25 21:51:08 2008  matrix is 49850 x 49914 (10.9 MB) with weight 2649803 (53.09/col)
Tue Nov 25 21:51:08 2008  sparse part has weight 2649803 (53.09/col)
Tue Nov 25 21:51:08 2008  saving the first 48 matrix rows for later
Tue Nov 25 21:51:08 2008  matrix is 49802 x 49914 (6.4 MB) with weight 2011559 (40.30/col)
Tue Nov 25 21:51:08 2008  sparse part has weight 1389929 (27.85/col)
Tue Nov 25 21:51:08 2008  matrix includes 64 packed rows
Tue Nov 25 21:51:08 2008  using block size 19965 for processor cache size 512 kB
Tue Nov 25 21:51:09 2008  commencing Lanczos iteration
Tue Nov 25 21:51:09 2008  memory use: 6.8 MB
Tue Nov 25 21:51:32 2008  lanczos halted after 790 iterations (dim = 49799)
Tue Nov 25 21:51:32 2008  recovered 15 nontrivial dependencies
Tue Nov 25 21:51:34 2008  prp35 factor: 92123373788344372285635615769596739
Tue Nov 25 21:51:34 2008  prp50 factor: 48440139168210650866664274877353596332333457620279
Tue Nov 25 21:51:34 2008  elapsed time 00:54:07
software ソフトウェア
Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10137+319

c128

name 名前Sinkiti Sibata
date 日付November 26, 2008 08:44:34 UTC 2008 年 11 月 26 日 (水) 17 時 44 分 34 秒 (日本時間)
composite number 合成数
19875310337413053710637590695530793527882282744921895395807157800777667144452785946358436075296632143126961352653038140244691511<128>
prime factors 素因数
13381285655013871857765308443020945443852381<44>
1485306483235108080529520897277681421570533714769036651190820055852516640157660621731<85>
factorization results 素因数分解の結果
Number: 35559_137
N=19875310337413053710637590695530793527882282744921895395807157800777667144452785946358436075296632143126961352653038140244691511
  ( 128 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=13381285655013871857765308443020945443852381 (pp44)
 r2=1485306483235108080529520897277681421570533714769036651190820055852516640157660621731 (pp85)
Version: GGNFS-0.77.1-20060513-k8
Total time: 7.53 hours.
Scaled time: 14.94 units (timescale=1.985).
Factorization parameters were as follows:
name: 35559_137
n: 19875310337413053710637590695530793527882282744921895395807157800777667144452785946358436075296632143126961352653038140244691511
m: 2000000000000000000000000000
deg: 5
c5: 100
c0: 31
skew: 0.79
type: snfs
lss: 1
rlim: 1420000
alim: 1420000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1420000/1420000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [710000, 1385001)
Primes: RFBsize:108487, AFBsize:108634, largePrimes:3522102 encountered
Relations: rels:3644702, finalFF:410418
Max relations in full relation-set: 28
Initial matrix: 217185 x 410418 with sparse part having weight 36113840.
Pruned matrix : 168501 x 169650 with weight 12265564.
Total sieving time: 7.10 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1420000,1420000,26,26,48,48,2.3,2.3,75000
total time: 7.53 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10138+319

c99

name 名前Serge Batalov
date 日付November 25, 2008 06:32:45 UTC 2008 年 11 月 25 日 (火) 15 時 32 分 45 秒 (日本時間)
composite number 合成数
294566174451038706731848985886598176837475871293277600309052426727878023820362277991757368632959221<99>
prime factors 素因数
12106920853579459070424999289438561<35>
24330395648365789996989790128333355913417874067772163713318487061<65>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1141709438
Step 1 took 10100ms
Step 2 took 8013ms
********** Factor found in step 2: 12106920853579459070424999289438561
Found probable prime factor of 35 digits: 12106920853579459070424999289438561
Probable prime cofactor 24330395648365789996989790128333355913417874067772163713318487061 has 65 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10141+319

c101

name 名前Serge Batalov
date 日付November 25, 2008 06:46:37 UTC 2008 年 11 月 25 日 (火) 15 時 46 分 37 秒 (日本時間)
composite number 合成数
15499352782151133565494217737037514442597852371987465422649070844371174174412631450510870910264417901<101>
prime factors 素因数
3688852328182643226043829314643<31>
17459840163246399172064730922660979<35>
240647874318475240136761574757014533<36>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1536110132
Step 1 took 10029ms
Step 2 took 8096ms
********** Factor found in step 2: 3688852328182643226043829314643
Found probable prime factor of 31 digits: 3688852328182643226043829314643

Mon Nov 24 22:45:24 2008  Msieve v. 1.39
Mon Nov 24 22:45:24 2008  random seeds: 5e5c56b8 b847632e
Mon Nov 24 22:45:25 2008  factoring 4201673421225585687652109078110886743277008789701716681609806135007807 (70 digits)
Mon Nov 24 22:45:25 2008  searching for 15-digit factors
Mon Nov 24 22:45:25 2008  commencing quadratic sieve (70-digit input)
Mon Nov 24 22:45:25 2008  using multiplier of 23
Mon Nov 24 22:45:25 2008  using 64kb Opteron sieve core
Mon Nov 24 22:45:25 2008  sieve interval: 6 blocks of size 65536
Mon Nov 24 22:45:25 2008  processing polynomials in batches of 17
Mon Nov 24 22:45:25 2008  using a sieve bound of 218287 (9781 primes)
Mon Nov 24 22:45:25 2008  using large prime bound of 21392126 (24 bits)
Mon Nov 24 22:45:25 2008  using trial factoring cutoff of 24 bits
Mon Nov 24 22:45:25 2008  polynomial 'A' values have 9 factors
Mon Nov 24 22:46:20 2008  10026 relations (4844 full + 5182 combined from 54427 partial), need 9877
Mon Nov 24 22:46:20 2008  begin with 59271 relations
Mon Nov 24 22:46:20 2008  reduce to 14536 relations in 2 passes
Mon Nov 24 22:46:20 2008  attempting to read 14536 relations
Mon Nov 24 22:46:20 2008  recovered 14536 relations
Mon Nov 24 22:46:20 2008  recovered 11729 polynomials
Mon Nov 24 22:46:20 2008  attempting to build 10026 cycles
Mon Nov 24 22:46:20 2008  found 10026 cycles in 1 passes
Mon Nov 24 22:46:20 2008  distribution of cycle lengths:
Mon Nov 24 22:46:20 2008     length 1 : 4844
Mon Nov 24 22:46:20 2008     length 2 : 5182
Mon Nov 24 22:46:20 2008  largest cycle: 2 relations
Mon Nov 24 22:46:20 2008  matrix is 9781 x 10026 (1.4 MB) with weight 292831 (29.21/col)
Mon Nov 24 22:46:20 2008  sparse part has weight 292831 (29.21/col)
Mon Nov 24 22:46:20 2008  filtering completed in 3 passes
Mon Nov 24 22:46:20 2008  matrix is 7725 x 7789 (1.2 MB) with weight 243518 (31.26/col)
Mon Nov 24 22:46:20 2008  sparse part has weight 243518 (31.26/col)
Mon Nov 24 22:46:20 2008  commencing Lanczos iteration
Mon Nov 24 22:46:20 2008  memory use: 1.5 MB
Mon Nov 24 22:46:20 2008  lanczos halted after 123 iterations (dim = 7717)
Mon Nov 24 22:46:20 2008  recovered 59 nontrivial dependencies
Mon Nov 24 22:46:20 2008  prp35 factor: 17459840163246399172064730922660979
Mon Nov 24 22:46:20 2008  prp36 factor: 240647874318475240136761574757014533
Mon Nov 24 22:46:20 2008  elapsed time 00:00:56
software ソフトウェア
GMP-ECM 6.2.1 + Msieve-1.39/QS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10142+319

c118

name 名前Sinkiti Sibata
date 日付November 26, 2008 20:38:27 UTC 2008 年 11 月 27 日 (木) 5 時 38 分 27 秒 (日本時間)
composite number 合成数
4658180662644448017979591182199206192957275439326873380189147999176379892124261928899928390307204730058222534367087813<118>
prime factors 素因数
1213740532142468235120515988563847529<37>
3837871883887678543854926447937643139346902671587478192888671244047886126346297597<82>
factorization results 素因数分解の結果
Number: 35559_142
N=4658180662644448017979591182199206192957275439326873380189147999176379892124261928899928390307204730058222534367087813
  ( 118 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=1213740532142468235120515988563847529 (pp37)
 r2=3837871883887678543854926447937643139346902671587478192888671244047886126346297597 (pp82)
Version: GGNFS-0.77.1-20060513-k8
Total time: 10.65 hours.
Scaled time: 21.34 units (timescale=2.003).
Factorization parameters were as follows:
name: 35559_142
n: 4658180662644448017979591182199206192957275439326873380189147999176379892124261928899928390307204730058222534367087813
m: 20000000000000000000000000000
deg: 5
c5: 100
c0: 31
skew: 0.79
type: snfs
lss: 1
rlim: 1730000
alim: 1730000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1730000/1730000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [865000, 1765001)
Primes: RFBsize:130213, AFBsize:130606, largePrimes:3697321 encountered
Relations: rels:3696975, finalFF:308074
Max relations in full relation-set: 28
Initial matrix: 260883 x 308074 with sparse part having weight 26725119.
Pruned matrix : 243807 x 245175 with weight 18265017.
Total sieving time: 9.84 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1730000,1730000,26,26,48,48,2.3,2.3,100000
total time: 10.65 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10143+319

c134

name 名前Serge Batalov
date 日付November 25, 2008 11:45:13 UTC 2008 年 11 月 25 日 (火) 20 時 45 分 13 秒 (日本時間)
composite number 合成数
17707530313071302506770464821911341751421185586262790520373820609700536492625271455568848575873804968724781806697706346734440820566769<134>
prime factors 素因数
23079352820141598249619821678406829423352705026772569<53>
767245531149285575267317899340707869952195439658557920669800614699184607306931801<81>
factorization results 素因数分解の結果
SNFS difficulty: 145 digits.
Divisors found:
 r1=23079352820141598249619821678406829423352705026772569 (pp53)
 r2=767245531149285575267317899340707869952195439658557920669800614699184607306931801 (pp81)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.729).
Factorization parameters were as follows:
n: 17707530313071302506770464821911341751421185586262790520373820609700536492625271455568848575873804968724781806697706346734440820566769
m: 40000000000000000000000000000
deg: 5
c5: 125
c0: 124
skew: 1.00
type: snfs
lss: 1
rlim: 1830000
alim: 1830000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.3
alambda: 2.3
Factor base limits: 1830000/1830000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved rational special-q in [915000, 2015001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 280603 x 280845
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1830000,1830000,26,26,50,50,2.3,2.3,100000
total time: 8.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10149+319

c129

name 名前Erik Branger
date 日付November 28, 2008 09:39:00 UTC 2008 年 11 月 28 日 (金) 18 時 39 分 0 秒 (日本時間)
composite number 合成数
645522616169409752919180544786267715281071636514574448021532325578189047306661052443515232321172943154564141276747304249108267281<129>
prime factors 素因数
36079668826573699943490114729420937250109313<44>
17891589284599087776495371368847733054140180147919739353006755447057290876475925057937<86>
factorization results 素因数分解の結果
Number: 35559_149
N=645522616169409752919180544786267715281071636514574448021532325578189047306661052443515232321172943154564141276747304249108267281
  ( 129 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=36079668826573699943490114729420937250109313
 r2=17891589284599087776495371368847733054140180147919739353006755447057290876475925057937
Version: 
Total time: 24.26 hours.
Scaled time: 19.26 units (timescale=0.794).
Factorization parameters were as follows:
n: 645522616169409752919180544786267715281071636514574448021532325578189047306661052443515232321172943154564141276747304249108267281
m: 1000000000000000000000000000000
deg: 5
c5: 16
c0: 155
skew: 1.57
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 332704 x 332952
Total sieving time: 24.26 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 24.26 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10150+319

c113

name 名前Jo Yeong Uk
date 日付November 26, 2008 22:35:03 UTC 2008 年 11 月 27 日 (木) 7 時 35 分 3 秒 (日本時間)
composite number 合成数
31965080483725198765375891316094958518982027309305547961910175720694233352383936555933314648188090942893133766167<113>
prime factors 素因数
9328504925290444441822005205016085050202529<43>
3426602734277911210608358720760753470015484796145599102726577084452023<70>
factorization results 素因数分解の結果
Number: 35559_150
N=31965080483725198765375891316094958518982027309305547961910175720694233352383936555933314648188090942893133766167
  ( 113 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=9328504925290444441822005205016085050202529 (pp43)
 r2=3426602734277911210608358720760753470015484796145599102726577084452023 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 9.37 hours.
Scaled time: 22.29 units (timescale=2.379).
Factorization parameters were as follows:
n: 31965080483725198765375891316094958518982027309305547961910175720694233352383936555933314648188090942893133766167
m: 2000000000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 1600001)
Primes: RFBsize:148933, AFBsize:148876, largePrimes:6640709 encountered
Relations: rels:6470040, finalFF:365507
Max relations in full relation-set: 28
Initial matrix: 297873 x 365507 with sparse part having weight 36847502.
Pruned matrix : 270279 x 271832 with weight 24272165.
Total sieving time: 8.90 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,49,49,2.4,2.4,100000
total time: 9.37 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:33 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 33 秒 (日本時間)

32×10157+319

c111

name 名前Jo Yeong Uk
date 日付November 28, 2008 04:23:57 UTC 2008 年 11 月 28 日 (金) 13 時 23 分 57 秒 (日本時間)
composite number 合成数
225072193439412145701799215959772861124655915684613894776517073007926147419114083683529204169407787632869729361<111>
prime factors 素因数
34721041154083197424198540840683236213110001909<47>
6482299664938003634923870800254260917289099912150023501829586029<64>
factorization results 素因数分解の結果
Number: 35559_157
N=225072193439412145701799215959772861124655915684613894776517073007926147419114083683529204169407787632869729361
  ( 111 digits)
Divisors found:
 r1=34721041154083197424198540840683236213110001909 (pp47)
 r2=6482299664938003634923870800254260917289099912150023501829586029 (pp64)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 15.38 hours.
Scaled time: 36.67 units (timescale=2.384).
Factorization parameters were as follows:
name: 35559_157
n: 225072193439412145701799215959772861124655915684613894776517073007926147419114083683529204169407787632869729361
skew: 28795.49
# norm 1.13e+16
c5: 46800
c4: 1274979120
c3: -523803857097587
c2: -954455472874104530
c1: 68225153952563267555272
c0: 198863934818240337723728640
# alpha -6.89
Y1: 444567509023
Y0: -1369034617122522968939
# Murphy_E 9.23e-10
# M 11475828137743923857118331731015828543479728004221583302539558888654103715022607496554975749211705474898107198
type: gnfs
rlim: 2100000
alim: 2100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1050000, 1950001)
Primes: RFBsize:155805, AFBsize:155375, largePrimes:8686731 encountered
Relations: rels:8631688, finalFF:456376
Max relations in full relation-set: 28
Initial matrix: 311259 x 456376 with sparse part having weight 50491100.
Pruned matrix : 250053 x 251673 with weight 27602004.
Polynomial selection time: 0.84 hours.
Total sieving time: 13.96 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2100000,2100000,27,27,51,51,2.6,2.6,50000
total time: 15.38 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:34 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 34 秒 (日本時間)

32×10158+319

c137

name 名前Sinkiti Sibata
date 日付November 28, 2008 04:24:49 UTC 2008 年 11 月 28 日 (金) 13 時 24 分 49 秒 (日本時間)
composite number 合成数
75191781271495427961526192435963176611571086648507863294028382067951511505660654447069167461791164580416202384221687140995631470166755061<137>
prime factors 素因数
728383830613617901512898035711531200163111814922121405509<57>
103230986344316631452156190293703543504210710933180145720843938503614168819071729<81>
factorization results 素因数分解の結果
Number: 35559_158
N=75191781271495427961526192435963176611571086648507863294028382067951511505660654447069167461791164580416202384221687140995631470166755061
  ( 137 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=728383830613617901512898035711531200163111814922121405509 (pp57)
 r2=103230986344316631452156190293703543504210710933180145720843938503614168819071729 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 61.27 hours.
Scaled time: 61.94 units (timescale=1.011).
Factorization parameters were as follows:
name: 35559_158
n: 75191781271495427961526192435963176611571086648507863294028382067951511505660654447069167461791164580416202384221687140995631470166755061
m: 40000000000000000000000000000000
deg: 5
c5: 125
c0: 124
skew: 1.00
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3350001)
Primes: RFBsize:236900, AFBsize:237133, largePrimes:10009512 encountered
Relations: rels:11723424, finalFF:1603464
Max relations in full relation-set: 28
Initial matrix: 474099 x 1603464 with sparse part having weight 209003057.
Pruned matrix : 327083 x 329517 with weight 65552425.
Total sieving time: 59.47 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 61.27 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:34 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 34 秒 (日本時間)

32×10159+319

c107

name 名前Jo Yeong Uk
date 日付November 27, 2008 08:39:58 UTC 2008 年 11 月 27 日 (木) 17 時 39 分 58 秒 (日本時間)
composite number 合成数
14279870745128086325073949925715343467378244321563381991867004239842949568432183034744786374363261516380339<107>
prime factors 素因数
691801292122926124619142949686718950073469<42>
20641578597385298121235556805106391775954256529093190003746261231<65>
factorization results 素因数分解の結果
Number: 35559_159
N=14279870745128086325073949925715343467378244321563381991867004239842949568432183034744786374363261516380339
  ( 107 digits)
Divisors found:
 r1=691801292122926124619142949686718950073469 (pp42)
 r2=20641578597385298121235556805106391775954256529093190003746261231 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 9.48 hours.
Scaled time: 22.54 units (timescale=2.378).
Factorization parameters were as follows:
name: 35559_159
n: 14279870745128086325073949925715343467378244321563381991867004239842949568432183034744786374363261516380339
skew: 6610.55
# norm 1.46e+14
c5: 25440
c4: -137352764
c3: 14140130325568
c2: 11186446944255427
c1: -256581559691255668326
c0: 88625683951583427259919
# alpha -5.09
Y1: 6223772741
Y0: -223790397110437034630
# Murphy_E 1.59e-09
# M 11583433849997306632283936826464805133153048936625287091066066575029620600574454972810926420293069935986582
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 51/51
Sieved algebraic special-q in [900000, 1450001)
Primes: RFBsize:135072, AFBsize:134928, largePrimes:5377820 encountered
Relations: rels:5449762, finalFF:384816
Max relations in full relation-set: 28
Initial matrix: 270076 x 384816 with sparse part having weight 38468322.
Pruned matrix : 215248 x 216662 with weight 19235135.
Polynomial selection time: 0.55 hours.
Total sieving time: 8.62 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,51,51,2.6,2.6,50000
total time: 9.48 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:35 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 35 秒 (日本時間)

32×10160+319

c125

name 名前Markus Tervooren
date 日付November 27, 2008 18:52:44 UTC 2008 年 11 月 28 日 (金) 3 時 52 分 44 秒 (日本時間)
composite number 合成数
47604967128978778980308853599287784927336120234905235004022738211686430159655031390012816340428481995268348789459939011327567<125>
prime factors 素因数
49505366525422020814016668476770343965501<41>
961612254795298853587706824117737416378847326019848732349508624487390819019261139067<84>
factorization results 素因数分解の結果
N=47604967128978778980308853599287784927336120234905235004022738211686430159655031390012816340428481995268348789459939011327567
  ( 125 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=49505366525422020814016668476770343965501 (pp41)
 r2=961612254795298853587706824117737416378847326019848732349508624487390819019261139067 (pp84)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 30.26 hours.
Scaled time: 46.29 units (timescale=1.530).
Factorization parameters were as follows:
n: 47604967128978778980308853599287784927336120234905235004022738211686430159655031390012816340428481995268348789459939011327567
m: 200000000000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
qintsize: 5000
type: snfs
rlambda: 2.4
alambda: 2.4

Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 1985001)
Primes: RFBsize:243539, AFBsize:243245, largePrimes:10208774 encountered
Relations: rels:12323629, finalFF:1513653
Max relations in full relation-set: 32
Initial matrix: 486848 x 1513653 with sparse part having weight 217147940.
Pruned matrix : 344986 x 347484 with weight 86395308.
Total sieving time: 27.94 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.14 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 30.26 hours.
 --------- CPU info (if available) ----------
Intel(R) Xeon(R) CPU           E5335  @ 2.00GHz stepping 0b
Intel(R) Xeon(R) CPU           E5335  @ 2.00GHz stepping 0b
Intel(R) Xeon(R) CPU           E5335  @ 2.00GHz stepping 0b
Memory: 16428772k/17825792k available (1928k kernel code, 343260k reserved, 867k data, 176k init)
Calibrating delay using timer specific routine.. 3993.74 BogoMIPS (lpj=7987498)
Calibrating delay using timer specific routine.. 3990.12 BogoMIPS (lpj=7980241)
Calibrating delay using timer specific routine.. 3990.13 BogoMIPS (lpj=7980276)
Calibrating delay using timer specific routine.. 3990.04 BogoMIPS (lpj=7980080)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:37 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 37 秒 (日本時間)

32×10161+319

c141

name 名前Serge Batalov
date 日付November 27, 2008 04:59:54 UTC 2008 年 11 月 27 日 (木) 13 時 59 分 54 秒 (日本時間)
composite number 合成数
392381191902339709749372813102397984185725242296439646480483642273917995502467744884092300496990794306058047534341998381451290475411990043727<141>
prime factors 素因数
110241649022448520071238394292360412717056973196080358021493292843<66>
3559282679293368344699238534100485608179773689995381905642703269366099354989<76>
factorization results 素因数分解の結果
SNFS difficulty: 162 digits.
Divisors found:
 r1=110241649022448520071238394292360412717056973196080358021493292843 (pp66)
 r2=3559282679293368344699238534100485608179773689995381905642703269366099354989 (pp76)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.729).
Factorization parameters were as follows:
n: 392381191902339709749372813102397984185725242296439646480483642273917995502467744884092300496990794306058047534341998381451290475411990043727
m: 200000000000000000000000000000000
deg: 5
c5: 10
c0: 31
skew: 1.25
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1800000, 3100001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 689147 x 689389
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,52,52,2.4,2.4,100000
total time: 19.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:43 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 43 秒 (日本時間)

32×10163+319

c136

name 名前Serge Batalov
date 日付November 27, 2008 21:00:58 UTC 2008 年 11 月 28 日 (金) 6 時 0 分 58 秒 (日本時間)
composite number 合成数
1967884435303659598974407641705651605895826214331689001349496161987105599499654836345057185351290971556047757091915941837674076873585191<136>
prime factors 素因数
7298831326676946646025396317875694511838180349179983<52>
269616373803723615329708115913185862970918638097728700348675818639575345943982545577<84>
factorization results 素因数分解の結果
SNFS difficulty: 165 digits.
Divisors found:
 r1=7298831326676946646025396317875694511838180349179983 (pp52)
 r2=269616373803723615329708115913185862970918638097728700348675818639575345943982545577 (pp84)
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
n: 1967884435303659598974407641705651605895826214331689001349496161987105599499654836345057185351290971556047757091915941837674076873585191
m: 400000000000000000000000000000000
deg: 5
c5: 125
c0: 124
skew: 1.00
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2000000, 3800001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 751201 x 751443
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,52,52,2.4,2.4,100000
total time: 32.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6315 / 2336Serge BatalovNovember 27, 2008 04:40:25 UTC 2008 年 11 月 27 日 (木) 13 時 40 分 25 秒 (日本時間)

32×10164+319

c161

name 名前Robert Backstrom
date 日付December 5, 2008 08:07:30 UTC 2008 年 12 月 5 日 (金) 17 時 7 分 30 秒 (日本時間)
composite number 合成数
13311203457585098107729233482668397123116152729420671467019413558292671766521491353957379190429244713996314460542681125961422468479486187546537215213041651587569<161>
prime factors 素因数
9750124430174322079990785274701676614927947079446672633<55>
1365234213461941186730471721006005384005878692179369864168580091088793810524096380552387838598296089911993<106>
factorization results 素因数分解の結果
Number: n
N=13311203457585098107729233482668397123116152729420671467019413558292671766521491353957379190429244713996314460542681125961422468479486187546537215213041651587569
  ( 161 digits)
SNFS difficulty: 166 digits.
Divisors found:

Fri Dec 05 18:46:41 2008  prp55 factor: 9750124430174322079990785274701676614927947079446672633
Fri Dec 05 18:46:41 2008  prp106 factor: 1365234213461941186730471721006005384005878692179369864168580091088793810524096380552387838598296089911993
Fri Dec 05 18:46:41 2008  elapsed time 02:08:47 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 31.27 hours.
Scaled time: 57.00 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_3_5_163_9
n: 13311203457585098107729233482668397123116152729420671467019413558292671766521491353957379190429244713996314460542681125961422468479486187546537215213041651587569
type: snfs
skew: 3.15
deg: 5
c5: 1
c0: 310
m: 2000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1900001)
Primes: RFBsize:348513, AFBsize:349532, largePrimes:14897284 encountered
Relations: rels:13440474, finalFF:731215
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 30.82 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.5,2.5,100000
total time: 31.27 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:55 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 55 秒 (日本時間)

32×10165+319

c148

name 名前Ignacio Santos
date 日付February 28, 2009 11:12:43 UTC 2009 年 2 月 28 日 (土) 20 時 12 分 43 秒 (日本時間)
composite number 合成数
5240839583066786717102808797593959640532192845212103667267982451818208133709752857084047933147048892935211822889041927310853330956386924574126589931<148>
prime factors 素因数
46393037881197844769329919028092780602515119298841<50>
112966079015722151503179720005482232418100365053255767820984303808963205364486267061134585021699491<99>
factorization results 素因数分解の結果
Number: 35559_165
N=5240839583066786717102808797593959640532192845212103667267982451818208133709752857084047933147048892935211822889041927310853330956386924574126589931
  ( 148 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=46393037881197844769329919028092780602515119298841 (pp50)
 r2=112966079015722151503179720005482232418100365053255767820984303808963205364486267061134585021699491 (pp99)
Version: Msieve-1.39
Total time: 32.66 hours.
Scaled time: 84.30 units (timescale=2.581).
Factorization parameters were as follows:
n: 5240839583066786717102808797593959640532192845212103667267982451818208133709752857084047933147048892935211822889041927310853330956386924574126589931
m: 2000000000000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 760137 x 760385
Total sieving time: 32.66 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,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 32.66 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:56 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 56 秒 (日本時間)

32×10167+319

c146

name 名前Robert Backstrom
date 日付April 13, 2009 10:56:11 UTC 2009 年 4 月 13 日 (月) 19 時 56 分 11 秒 (日本時間)
composite number 合成数
32835394646430181205812761282197698125513991593693821482034452227895325294651015157181683388666833151226627373344575666356437173478223009966051161<146>
prime factors 素因数
5463215511259409267862691359715547396629804846074347587647637<61>
6010268966830633552407442674646264717255365729873344812447062941431439165340265027253<85>
factorization results 素因数分解の結果
Number: n
N=32835394646430181205812761282197698125513991593693821482034452227895325294651015157181683388666833151226627373344575666356437173478223009966051161
  ( 146 digits)
SNFS difficulty: 168 digits.
Divisors found:

Mon Apr 13 20:51:07 2009  prp61 factor: 5463215511259409267862691359715547396629804846074347587647637
Mon Apr 13 20:51:07 2009  prp85 factor: 6010268966830633552407442674646264717255365729873344812447062941431439165340265027253
Mon Apr 13 20:51:07 2009  elapsed time 01:21:47 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 38.37 hours.
Scaled time: 97.99 units (timescale=2.554).
Factorization parameters were as follows:
name: KA_3_5_166_9
n: 32835394646430181205812761282197698125513991593693821482034452227895325294651015157181683388666833151226627373344575666356437173478223009966051161
m: 2000000000000000000000000000000000
deg: 5
c5: 100
c0: 31
skew: 0.79
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2250000, 4453171)
Primes: RFBsize:315948, AFBsize:316592, largePrimes:15819911 encountered
Relations: rels:15045685, finalFF:641270
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1549571 hash collisions in 16281834 relations
Msieve: matrix is 826261 x 826509 (221.8 MB)

Total sieving time: 37.90 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,56,56,2.4,2.4,100000
total time: 38.37 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:57 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 57 秒 (日本時間)

32×10168+319

c136

name 名前Robert Backstrom
date 日付June 26, 2009 02:55:48 UTC 2009 年 6 月 26 日 (金) 11 時 55 分 48 秒 (日本時間)
composite number 合成数
1868282919977985573733322020556574078433082808304869247090505648965219877477967805693204420862322587884350227847740147854847247088742417<136>
prime factors 素因数
1073104304815526983816771184467768044461214238015586531509631<61>
1741007758140672565912344588362661612431195406392316590249384001939025425007<76>
factorization results 素因数分解の結果
Number: n
N=1868282919977985573733322020556574078433082808304869247090505648965219877477967805693204420862322587884350227847740147854847247088742417
  ( 136 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri Jun 26 12:41:03 2009  prp61 factor: 1073104304815526983816771184467768044461214238015586531509631
Fri Jun 26 12:41:03 2009  prp76 factor: 1741007758140672565912344588362661612431195406392316590249384001939025425007
Fri Jun 26 12:41:03 2009  elapsed time 01:41:17 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 45.35 hours.
Scaled time: 120.14 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_3_5_167_9
n: 1868282919977985573733322020556574078433082808304869247090505648965219877477967805693204420862322587884350227847740147854847247088742417
m: 4000000000000000000000000000000000
deg: 5
c5: 125
c0: 124
skew: 1.00
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2400000, 4894117)
Primes: RFBsize:335439, AFBsize:335383, largePrimes:15896129 encountered
Relations: rels:14761745, finalFF:507282
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1791801 hash collisions in 17666333 relations
Msieve: matrix is 827896 x 828144 (222.0 MB)

Total sieving time: 44.92 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,28,28,56,56,2.4,2.4,100000
total time: 45.35 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:57 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 57 秒 (日本時間)

32×10169+319

c134

name 名前Wataru Sakai
date 日付May 28, 2009 11:39:11 UTC 2009 年 5 月 28 日 (木) 20 時 39 分 11 秒 (日本時間)
composite number 合成数
51974250881833316719542620118708438034116908275006951728130281769646934615105622512928289385314953724883875501442384150151800013857763<134>
prime factors 素因数
36503865295478130758755327213624903058483920561<47>
1423801300523414982742214232334802997389942436426180599813692010039144526423143680899283<88>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1504946988
Step 1 took 38186ms
Step 2 took 14458ms
********** Factor found in step 2: 36503865295478130758755327213624903058483920561
Found probable prime factor of 47 digits: 36503865295478130758755327213624903058483920561
Probable prime cofactor 1423801300523414982742214232334802997389942436426180599813692010039144526423143680899283 has 88 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10170+319

c153

name 名前Jeff Gilchrist
date 日付April 17, 2009 18:51:36 UTC 2009 年 4 月 18 日 (土) 3 時 51 分 36 秒 (日本時間)
composite number 合成数
296166359396073944683160485101585851681443934301671987655522323564543253916503976987487165849021699261332677580008470890265619918699850211710956573792757<153>
prime factors 素因数
1528216471097860021313334111063020163874176813026371<52>
193798696059930635413390537724663298714890396659618435429067607489207334036908047360384278676186052967<102>
factorization results 素因数分解の結果
Number: 35559_170
N=296166359396073944683160485101585851681443934301671987655522323564543253916503976987487165849021699261332677580008470890265619918699850211710956573792757
  ( 153 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=1528216471097860021313334111063020163874176813026371 (pp52)
 r2=193798696059930635413390537724663298714890396659618435429067607489207334036908047360384278676186052967 (pp102)
Version: Msieve-1.41
Total time: 90.66 hours.
Scaled time: 68.27 units (timescale=0.753).
Factorization parameters were as follows:
n: 296166359396073944683160485101585851681443934301671987655522323564543253916503976987487165849021699261332677580008470890265619918699850211710956573792757
m: 20000000000000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 794466 x 794714
Total sieving time: 90.66 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 90.66 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS & Msieve 1.41
execution environment 実行環境
Intel Pentium D 930 @ 3.0Ghz on Windows XP

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:59 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 59 秒 (日本時間)

32×10171+319

c158

name 名前Serge Batalov
date 日付November 25, 2008 10:37:54 UTC 2008 年 11 月 25 日 (火) 19 時 37 分 54 秒 (日本時間)
composite number 合成数
72323092455348255606913773953246025237597023245663470099107828828462374083239962051745719958418636430969052523335850001307346533931133995983780922691152215989<158>
prime factors 素因数
107987834546806140945454007205523<33>
669733704346118779197931924293208612028416461194287929094971953976142368895751217073718031774189697036538650671648735737179543<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3083652194
Step 1 took 19369ms
Step 2 took 12661ms
********** Factor found in step 2: 107987834546806140945454007205523
Found probable prime factor of 33 digits: 107987834546806140945454007205523
Probable prime cofactor 669733704346118779197931924293208612028416461194287929094971953976142368895751217073718031774189697036538650671648735737179543 has 126 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10172+319

c145

name 名前Wataru Sakai
date 日付September 7, 2009 15:40:32 UTC 2009 年 9 月 8 日 (火) 0 時 40 分 32 秒 (日本時間)
composite number 合成数
6283492866906522644517178693546527362083909667826028050003387738110501587353659388507972141386831906179067405113750037272333826817013496063045423<145>
prime factors 素因数
380180911264424017571063306253381757<36>
8546276063952874782271324462814821241<37>
1933899502523280503850307241008143800862805194330635461115742340415465779<73>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3539868959
Step 1 took 47496ms
Step 2 took 15500ms
********** Factor found in step 2: 380180911264424017571063306253381757
Found probable prime factor of 36 digits: 380180911264424017571063306253381757
Composite cofactor 16527639028505084337691953712714662144081862856051421639105985515388478037245990081581868705420160179637811739 has 110 digits
--------------
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=118001667
Step 1 took 30447ms
Step 2 took 13004ms
********** Factor found in step 2: 8546276063952874782271324462814821241
Found probable prime factor of 37 digits: 8546276063952874782271324462814821241
Probable prime cofactor 1933899502523280503850307241008143800862805194330635461115742340415465779 has 73 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:34:59 UTC 2008 年 11 月 27 日 (木) 7 時 34 分 59 秒 (日本時間)

32×10175+319

c161

name 名前Dmitry Domanov
date 日付August 5, 2011 07:01:47 UTC 2011 年 8 月 5 日 (金) 16 時 1 分 47 秒 (日本時間)
composite number 合成数
10320466907379907003573907490100780116960091148587289259593641077168260117383620241551239976395405649587313707303279410277108007400177542194358232051120309488623<161>
prime factors 素因数
883974981297485351418043172686545676965899720962978050702777075122028513687557<78>
11675066744798228254571491305916077991098195767720093737249169404869366403784112739<83>
factorization results 素因数分解の結果
N=10320466907379907003573907490100780116960091148587289259593641077168260117383620241551239976395405649587313707303279410277108007400177542194358232051120309488623
  ( 161 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=883974981297485351418043172686545676965899720962978050702777075122028513687557 (pp78)
 r2=11675066744798228254571491305916077991098195767720093737249169404869366403784112739 (pp83)
Version: Msieve-1.40
Total time: 59.88 hours.
Scaled time: 113.41 units (timescale=1.894).
Factorization parameters were as follows:
n: 10320466907379907003573907490100780116960091148587289259593641077168260117383620241551239976395405649587313707303279410277108007400177542194358232051120309488623
m: 200000000000000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1202961 x 1203186
Total sieving time: 58.05 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.58 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 59.88 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Serge BatalovNovember 26, 2008 22:35:00 UTC 2008 年 11 月 27 日 (木) 7 時 35 分 0 秒 (日本時間)
2036Wataru SakaiSeptember 18, 2010 02:45:45 UTC 2010 年 9 月 18 日 (土) 11 時 45 分 45 秒 (日本時間)

32×10176+319

c171

name 名前Serge Batalov
date 日付November 26, 2008 06:37:55 UTC 2008 年 11 月 26 日 (水) 15 時 37 分 55 秒 (日本時間)
composite number 合成数
318406724590819995822901781774180179798307250349973766270956759471281653732886011686123805091701634192663331953239186434997913938443422955871116520045345097665790152655129<171>
prime factors 素因数
3660718354755801093405249716097352669909<40>
86979301255766846910552733876279826203666396318195941678536718624178967053141838401347217342937724437358746417149543025182392182581<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3906121173
Step 1 took 24827ms
Step 2 took 17271ms
********** Factor found in step 2: 3660718354755801093405249716097352669909
Found probable prime factor of 40 digits: 3660718354755801093405249716097352669909
Probable prime cofactor 86979301255766846910552733876279826203666396318195941678536718624178967053141838401347217342937724437358746417149543025182392182581 has 131 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10181+319

c171

name 名前Serge Batalov
date 日付November 25, 2008 13:31:54 UTC 2008 年 11 月 25 日 (火) 22 時 31 分 54 秒 (日本時間)
composite number 合成数
113462770343793449702982219152132810716108582228971636936963039745855536591539628549443068889913959912589154808976475546443781600500480892271807366826930061888449493263359<171>
prime factors 素因数
372638789975169574957214534210894523011<39>
304484593113223482635726534234166940008636199680134144356572163201145489184394894990238818475119649638851178460186072715697294579669<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=742742276
Step 1 took 24819ms
Step 2 took 16777ms
********** Factor found in step 2: 372638789975169574957214534210894523011
Found probable prime factor of 39 digits: 372638789975169574957214534210894523011
Probable prime cofactor 304484593113223482635726534234166940008636199680134144356572163201145489184394894990238818475119649638851178460186072715697294579669 has 132 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10182+319

c170

name 名前Robert Backstrom
date 日付February 27, 2012 01:21:02 UTC 2012 年 2 月 27 日 (月) 10 時 21 分 2 秒 (日本時間)
composite number 合成数
36385581291792537060022108713544062861003199359279195275668921148201505716796853948709963092324141837416724641664856137854827124987156543264874934935196811979770509493847<170>
prime factors 素因数
1045960302701948956395230224013443350621818051<46>
413777354692132623019625498533669495487212227896157806887<57>
84071229085862661406852487761688836063480414699863381009527424893531<68>
factorization results 素因数分解の結果
Number: n
N=36385581291792537060022108713544062861003199359279195275668921148201505716796853948709963092324141837416724641664856137854827124987156543264874934935196811979770509493847
  ( 170 digits)
SNFS difficulty: 183 digits.
Divisors found:

Mon Feb 27 12:14:45 2012  prp46 factor: 1045960302701948956395230224013443350621818051
Mon Feb 27 12:14:45 2012  prp57 factor: 413777354692132623019625498533669495487212227896157806887
Mon Feb 27 12:14:45 2012  prp68 factor: 84071229085862661406852487761688836063480414699863381009527424893531
Mon Feb 27 12:14:45 2012  elapsed time 02:22:08 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.655).
Factorization parameters were as follows:
name: KA_35559_182
n: 36385581291792537060022108713544062861003199359279195275668921148201505716796853948709963092324141837416724641664856137854827124987156543264874934935196811979770509493847
m: 2000000000000000000000000000000000000
#  c170, diff: 183.51
skew: 0.79
deg: 5
c5: 100
c0: 31
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5897192 hash collisions in 75536820 relations (72343190 unique)
Msieve: matrix is 1042489 x 1042737 (288.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:35:00 UTC 2008 年 11 月 27 日 (木) 7 時 35 分 0 秒 (日本時間)

32×10183+319

c177

name 名前Ignacio Santos
date 日付September 5, 2010 19:32:36 UTC 2010 年 9 月 6 日 (月) 4 時 32 分 36 秒 (日本時間)
composite number 合成数
267687607123665793729014598669898760296028697918375005057831858035825954168920366274610560749573483715546482284112098903477110605733639337075321662839612234759120344727431234839<177>
prime factors 素因数
212290061038803593589142171602221704380603215935570484415825148441314679<72>
1260952141677213608639047785623943607927784870137523134959838101207965268243184584185162577293037879027041<106>
factorization results 素因数分解の結果
Number: 11
N=267687607123665793729014598669898760296028697918375005057831858035825954168920366274610560749573483715546482284112098903477110605733639337075321662839612234759120344727431234839
  ( 177 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=212290061038803593589142171602221704380603215935570484415825148441314679 (pp72)
 r2=1260952141677213608639047785623943607927784870137523134959838101207965268243184584185162577293037879027041 (pp106)
Version: Msieve-1.40
Total time: 193.20 hours.
Scaled time: 335.98 units (timescale=1.739).
Factorization parameters were as follows:
n: 267687607123665793729014598669898760296028697918375005057831858035825954168920366274610560749573483715546482284112098903477110605733639337075321662839612234759120344727431234839
m: 2000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 31
skew: 0.50
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 7250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1747058 x 1747283
Total sieving time: 187.94 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.59 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 193.20 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Serge BatalovNovember 26, 2008 22:35:00 UTC 2008 年 11 月 27 日 (木) 7 時 35 分 0 秒 (日本時間)
2036Wataru SakaiJune 23, 2010 04:01:30 UTC 2010 年 6 月 23 日 (水) 13 時 1 分 30 秒 (日本時間)

32×10184+319

c149

name 名前Jo Yeong Uk
date 日付September 19, 2014 12:14:57 UTC 2014 年 9 月 19 日 (金) 21 時 14 分 57 秒 (日本時間)
composite number 合成数
35491318293428010515336987081218675327697684358181376288774351805701312619340311612893431845955971833880012627751952222038626098759606480638784250991<149>
prime factors 素因数
15417028092508758653348821980081269489703917880133936610025909880351381<71>
2302085595256422300355798588009512246091791652182204305529635885524338725901811<79>
factorization results 素因数分解の結果
Number: 35559_184
N=35491318293428010515336987081218675327697684358181376288774351805701312619340311612893431845955971833880012627751952222038626098759606480638784250991
  ( 149 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=15417028092508758653348821980081269489703917880133936610025909880351381
 r2=2302085595256422300355798588009512246091791652182204305529635885524338725901811
Version: 
Total time: 72.96 hours.
Scaled time: 382.83 units (timescale=5.247).
Factorization parameters were as follows:
n: 35491318293428010515336987081218675327697684358181376288774351805701312619340311612893431845955971833880012627751952222038626098759606480638784250991
m: 20000000000000000000000000000000000000
deg: 5
c5: 1
c0: 310
skew: 3.15
# Murphy_E = 6.267e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20059604
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1751232 x 1751479
Total sieving time: 66.93 hours.
Total relation processing time: 1.75 hours.
Matrix solve time: 4.11 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 72.96 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300Serge BatalovNovember 26, 2008 22:35:01 UTC 2008 年 11 月 27 日 (木) 7 時 35 分 1 秒 (日本時間)
4511e6900 / 4413600Rich DickersonDecember 14, 2013 21:14:13 UTC 2013 年 12 月 15 日 (日) 6 時 14 分 13 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:23 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 23 秒 (日本時間)

32×10185+319

c176

name 名前Serge Batalov
date 日付November 25, 2008 12:18:33 UTC 2008 年 11 月 25 日 (火) 21 時 18 分 33 秒 (日本時間)
composite number 合成数
13939754936490940376473654469094151737899588897988163680054614482924135983179890890826219885983713958840873883452512077757692298969891394600817246475287271316244604684778990527<176>
prime factors 素因数
3568420194938534766279266855287<31>
3906421938835330886237170731851398038761864173604013154645274793931398036626799143927453920469689066686149317964345952393979283699104118805078521<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2825353847
Step 1 took 22174ms
Step 2 took 14393ms
********** Factor found in step 2: 3568420194938534766279266855287
Found probable prime factor of 31 digits: 3568420194938534766279266855287
Probable prime cofactor 3906421938835330886237170731851398038761864173604013154645274793931398036626799143927453920469689066686149317964345952393979283699104118805078521 has 145 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10186+319

c133

name 名前Serge Batalov
date 日付November 25, 2008 12:47:51 UTC 2008 年 11 月 25 日 (火) 21 時 47 分 51 秒 (日本時間)
composite number 合成数
1013189270287102387914764597285001488562262680310730399970902058978063583828522312595771708589417687937863132485295867979318009767323<133>
prime factors 素因数
426892186754019709687986691410122407<36>
2373407857358874412233536608360417319692140812876644426471548027819447985400508358165919646993389<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4039017758
Step 1 took 13817ms
Step 2 took 10652ms
********** Factor found in step 2: 426892186754019709687986691410122407
Found probable prime factor of 36 digits: 426892186754019709687986691410122407
Probable prime cofactor 2373407857358874412233536608360417319692140812876644426471548027819447985400508358165919646993389 has 97 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10187+319

c156

name 名前Rich Dickerson
date 日付April 24, 2014 01:56:19 UTC 2014 年 4 月 24 日 (木) 10 時 56 分 19 秒 (日本時間)
composite number 合成数
391568040315369356965711651090552236242713527687864817222641653356465229996126810678330819938976990734802301059733175924953375844595969584899671264509485497<156>
prime factors 素因数
11743897236551243905849683347557208776878649033<47>
33342257040249670059783237719635942597138097155712984135920439278405755069985308186860704068683189393763607409<110>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1904311714
Step 1 took 29630ms
Step 2 took 9536ms
********** Factor found in step 2: 11743897236551243905849683347557208776878649033
Found probable prime factor of 47 digits: 11743897236551243905849683347557208776878649033
Probable prime cofactor 33342257040249670059783237719635942597138097155712984135920439278405755069985308186860704068683189393763607409 has 110 digits
software ソフトウェア
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
execution environment 実行環境
Core-i5, 3.4 GHz, OpenSUSE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336300Serge BatalovNovember 26, 2008 22:35:01 UTC 2008 年 11 月 27 日 (木) 7 時 35 分 1 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:28 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 28 秒 (日本時間)

32×10189+319

c141

name 名前Serge Batalov
date 日付November 25, 2008 09:26:43 UTC 2008 年 11 月 25 日 (火) 18 時 26 分 43 秒 (日本時間)
composite number 合成数
188151941680311014718760631093015830574602645044946468421261353540654996592368547311972347646598243163342609137118625914623432844827425366951<141>
prime factors 素因数
333814150829410815649737373435823<33>
563642797085802332383830652856064364475273552193519508492141508999800002809776410596006504633051870472710537<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1257938415
Step 1 took 14609ms
Step 2 took 10712ms
********** Factor found in step 2: 333814150829410815649737373435823
Found probable prime factor of 33 digits: 333814150829410815649737373435823
Probable prime cofactor 563642797085802332383830652856064364475273552193519508492141508999800002809776410596006504633051870472710537 has 108 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10190+319

c188

name 名前Wataru Sakai
date 日付June 16, 2009 12:52:37 UTC 2009 年 6 月 16 日 (火) 21 時 52 分 37 秒 (日本時間)
composite number 合成数
51754811580139091056121623807213326863981885815946951318130357431667475335597606339964418567038654374898916383632540837781012453501536470968785379265728610706776645641274462235160925117257<188>
prime factors 素因数
52311355555847030303143653332060151795995423261951000945838450963825453383089608706687<86>
989360933782077602757730767136340057134054664376326080972807007427391485597216486100369325941804525111<102>
factorization results 素因数分解の結果
Number: 35559_190
N=51754811580139091056121623807213326863981885815946951318130357431667475335597606339964418567038654374898916383632540837781012453501536470968785379265728610706776645641274462235160925117257
  ( 188 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=52311355555847030303143653332060151795995423261951000945838450963825453383089608706687
 r2=989360933782077602757730767136340057134054664376326080972807007427391485597216486100369325941804525111
Version: 
Total time: 386.28 hours.
Scaled time: 721.57 units (timescale=1.868).
Factorization parameters were as follows:
n: 51754811580139091056121623807213326863981885815946951318130357431667475335597606339964418567038654374898916383632540837781012453501536470968785379265728610706776645641274462235160925117257
m: 200000000000000000000000000000000000000
deg: 5
c5: 1
c0: 31
skew: 1.99
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5450000, 9050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1769931 x 1770179
Total sieving time: 386.28 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,191,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time: 386.28 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:35:01 UTC 2008 年 11 月 27 日 (木) 7 時 35 分 1 秒 (日本時間)

32×10191+319

c153

name 名前Edwin Hall
date 日付December 27, 2020 14:31:51 UTC 2020 年 12 月 27 日 (日) 23 時 31 分 51 秒 (日本時間)
composite number 合成数
153387726390469577476407278001343853808225876049541872006272825303641836503362821534826705825391454724615601015315550069032706461552087366963152364154591<153>
prime factors 素因数
46715717673680006628682189337256257684023988969700084573316990865535243031<74>
3283428662316995680102448911782826135534554389764206694398570471670876265168761<79>
factorization results 素因数分解の結果
p74 factor: 46715717673680006628682189337256257684023988969700084573316990865535243031
p79 factor: 3283428662316995680102448911782826135534554389764206694398570471670876265168761


Msieve v. 1.54 (SVN 1032M)
random seeds: 39401ca5 2744f94f
factoring 153387726390469577476407278001343853808225876049541872006272825303641836503362821534826705825391454724615601015315550069032706461552087366963152364154591 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 10
skew 1.00, size 2.057e-13, alpha 1.057, combined = 3.064e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 657933 hash collisions in 38033754 relations
added 727550 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38761304 unique relations
memory use: 159.3 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1259.3 MB
keeping 40601693 ideals with weight <= 200, target excess is 210988
commencing in-memory singleton removal
begin with 38761304 relations and 40601693 unique ideals
reduce to 15561197 relations and 13550597 ideals in 13 passes
max relations containing the same ideal: 111
removing 2034479 relations and 1634479 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13526718 relations and 13550597 unique ideals
reduce to 13308852 relations and 11691105 ideals in 8 passes
max relations containing the same ideal: 102
removing 1619812 relations and 1219812 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11689040 relations and 11691105 unique ideals
reduce to 11528659 relations and 10306022 ideals in 8 passes
max relations containing the same ideal: 96
removing 1514921 relations and 1114921 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10013738 relations and 10306022 unique ideals
reduce to 9849140 relations and 9021249 ideals in 8 passes
max relations containing the same ideal: 85
removing 1484718 relations and 1084718 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8364422 relations and 9021249 unique ideals
reduce to 8173111 relations and 7738119 ideals in 9 passes
max relations containing the same ideal: 77
removing 846947 relations and 656702 ideals in 190245 cliques
commencing in-memory singleton removal
begin with 7326164 relations and 7738119 unique ideals
reduce to 7252896 relations and 7006532 ideals in 7 passes
max relations containing the same ideal: 70
relations with 0 large ideals: 4558
relations with 1 large ideals: 14516
relations with 2 large ideals: 111895
relations with 3 large ideals: 473626
relations with 4 large ideals: 1197097
relations with 5 large ideals: 1883921
relations with 6 large ideals: 1925317
relations with 7+ large ideals: 1641966
commencing 2-way merge
reduce to 4486250 relation sets and 4239886 unique ideals
commencing full merge
memory use: 480.0 MB
found 2072087 cycles, need 2044086
weight of 2044086 cycles is about 184167371 (90.10/cycle)
distribution of cycle lengths:
1 relations: 160441
2 relations: 162475
3 relations: 172146
4 relations: 172654
5 relations: 169844
6 relations: 160366
7 relations: 153430
8 relations: 140922
9 relations: 126999
10+ relations: 624809
heaviest cycle: 26 relations
commencing cycle optimization
start with 15259701 relations
pruned 523394 relations
memory use: 450.8 MB
distribution of cycle lengths:
1 relations: 160441
2 relations: 166477
3 relations: 178795
4 relations: 178403
5 relations: 176405
6 relations: 166172
7 relations: 158992
8 relations: 144741
9 relations: 129863
10+ relations: 583797
heaviest cycle: 25 relations
RelProcTime: 694
elapsed time 00:11:36


Msieve v. 1.54 (SVN 1032M)
random seeds: fcea6121 19c8ddcb
factoring 153387726390469577476407278001343853808225876049541872006272825303641836503362821534826705825391454724615601015315550069032706461552087366963152364154591 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 10
skew 1.00, size 2.057e-13, alpha 1.057, combined = 3.064e-11 rroots = 1

commencing linear algebra
read 2044086 cycles
cycles contain 7075621 unique relations
read 7075621 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 872.7 MB
read 2044086 cycles
matrix is 2043909 x 2044086 (750.8 MB) with weight 221725926 (108.47/col)
sparse part has weight 174343190 (85.29/col)
filtering completed in 2 passes
matrix is 2043198 x 2043375 (750.8 MB) with weight 221698955 (108.50/col)
sparse part has weight 174332827 (85.32/col)
matrix starts at (0, 0)
matrix is 2043198 x 2043375 (750.8 MB) with weight 221698955 (108.50/col)
sparse part has weight 174332827 (85.32/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2043150 x 2043375 (715.6 MB) with weight 182358502 (89.24/col)
sparse part has weight 167162324 (81.81/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (8 threads)
memory use: 678.8 MB
linear algebra at 0.1%, ETA 1h29m
checkpointing every 1220000 dimensions
lanczos halted after 32312 iterations (dim = 2043150)
recovered 39 nontrivial dependencies
BLanczosTime: 5545
elapsed time 01:32:26


Msieve v. 1.54 (SVN 1032M)
random seeds: 2bb0b24d 23801c36
factoring 153387726390469577476407278001343853808225876049541872006272825303641836503362821534826705825391454724615601015315550069032706461552087366963152364154591 (153 digits)
searching for 15-digit factors
commencing number field sieve (153-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: 31
A1: 0
A2: 0
A3: 0
A4: 0
A5: 10
skew 1.00, size 2.057e-13, alpha 1.057, combined = 3.064e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1021301 cycles
cycles contain 3534690 unique relations
read 3534690 relations
multiplying 3534690 relations
multiply complete, coefficients have about 90.27 million bits
initial square root is modulo 3016901
GCD is 1, no factor found
reading relations for dependency 2
read 1021875 cycles
cycles contain 3537032 unique relations
read 3537032 relations
multiplying 3537032 relations
multiply complete, coefficients have about 90.33 million bits
initial square root is modulo 3047351
sqrtTime: 469
p74 factor: 46715717673680006628682189337256257684023988969700084573316990865535243031
p79 factor: 3283428662316995680102448911782826135534554389764206694398570471670876265168761
elapsed time 00:07:51
software ソフトウェア
CADO-NFS/Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e61900300Serge BatalovNovember 26, 2008 22:35:02 UTC 2008 年 11 月 27 日 (木) 7 時 35 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:28 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 28 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:15 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 15 秒 (日本時間)
4511e64300300Rich DickersonMarch 15, 2015 17:07:47 UTC 2015 年 3 月 16 日 (月) 2 時 7 分 47 秒 (日本時間)
4000Robert BalfourApril 27, 2020 11:50:01 UTC 2020 年 4 月 27 日 (月) 20 時 50 分 1 秒 (日本時間)

32×10192+319

c157

name 名前Eric Jeancolas
date 日付December 24, 2020 10:45:14 UTC 2020 年 12 月 24 日 (木) 19 時 45 分 14 秒 (日本時間)
composite number 合成数
7924678028335832903032724483542542374320055427682037604821704596035894851433050119354897873245078423059755094543611238015702940394212433220595028784125949841<157>
prime factors 素因数
2940337569525352833081344456795152650732102724257915499075127149<64>
2695159260103282158257538851694365768306989447206234736880541992583299759258706476287169619509<94>
factorization results 素因数分解の結果
7924678028335832903032724483542542374320055427682037604821704596035894851433050119354897873245078423059755094543611238015702940394212433220595028784125949841=2940337569525352833081344456795152650732102724257915499075127149*2695159260103282158257538851694365768306989447206234736880541992583299759258706476287169619509

cado polynomial
n: 7924678028335832903032724483542542374320055427682037604821704596035894851433050119354897873245078423059755094543611238015702940394212433220595028784125949841
skew: 0.79
type: snfs
c0: 31
c5: 100
Y0: 200000000000000000000000000000000000000
Y1: -1
# f(x) = 100*x^5+31
# g(x) = -x+200000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11800000
tasks.lim1 = 11800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2695159260103282158257538851694365768306989447206234736880541992583299759258706476287169619509 2940337569525352833081344456795152650732102724257915499075127149
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.97/2.05329
Info:Generate Free Relations: Total cpu/real time for freerel: 102.36/26.389
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27908403
Info:Lattice Sieving: Average J: 1893.8 for 2648826 special-q, max bucket fill -bkmult 1.0,1s:1.130590
Info:Lattice Sieving: Total time: 774997s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.88/140.275
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 139.20000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 469.15/473.053
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 412.3999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 396.09/466.017
Info:Filtering - Merging: Merged matrix has 2315487 rows and total weight 397820636 (171.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 333.93/95.8731
Info:Filtering - Merging: Total cpu/real time for replay: 88.46/77.1362
Info:Linear Algebra: Total cpu/real time for bwc: 95393.1/24393
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15363.49, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72704 iterations)
Info:Linear Algebra: Lingen CPU time 461.25, WCT time 133.97
Info:Linear Algebra: Mksol: WCT time 8666.97, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 81/32.8198
Info:Square Root: Total cpu/real time for sqrt: 630.57/201.395
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.52706e+06/73846.3
Info:root: Cleaning up computation data in /tmp/cado.aaf866a3
2695159260103282158257538851694365768306989447206234736880541992583299759258706476287169619509 2940337569525352833081344456795152650732102724257915499075127149
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e61900300Serge BatalovNovember 26, 2008 22:35:02 UTC 2008 年 11 月 27 日 (木) 7 時 35 分 2 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:29 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 29 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:16 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 16 秒 (日本時間)
4511e62300 / 2656300Rich DickersonMarch 15, 2015 17:06:41 UTC 2015 年 3 月 16 日 (月) 2 時 6 分 41 秒 (日本時間)
2000Rich DickersonFebruary 12, 2016 20:39:07 UTC 2016 年 2 月 13 日 (土) 5 時 39 分 7 秒 (日本時間)
5043e6400 / 6965Rich DickersonFebruary 13, 2016 00:48:29 UTC 2016 年 2 月 13 日 (土) 9 時 48 分 29 秒 (日本時間)

32×10196+319

c197

name 名前Robert Backstrom
date 日付February 11, 2009 18:54:35 UTC 2009 年 2 月 12 日 (木) 3 時 54 分 35 秒 (日本時間)
composite number 合成数
11851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853<197>
prime factors 素因数
3559279910565634648793619648390695211930101119007<49>
3329845404029596513584266686001452221852005046336820091842356487673056284411726044805774754469766724250478115806325903135290063433358994107001192979<148>
factorization results 素因数分解の結果
Number: n
N=11851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853
  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Feb 12 05:19:50 2009  prp49 factor: 3559279910565634648793619648390695211930101119007
Thu Feb 12 05:19:50 2009  prp148 factor: 3329845404029596513584266686001452221852005046336820091842356487673056284411726044805774754469766724250478115806325903135290063433358994107001192979
Thu Feb 12 05:19:50 2009  elapsed time 10:06:12 (Msieve 1.39 - dependency 9)

Version: GGNFS-0.77.1-20050930-k8
Total time: 40.90 hours.
Scaled time: 82.20 units (timescale=2.010).
Factorization parameters were as follows:
name: KA_3_5_195_9
n: 11851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853
deg: 5
c5: 10
c0: 31
m: 2000000000000000000000000000000000000000
skew: 1.25
type: snfs
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 14052713)
Primes: RFBsize:664579, AFBsize:664406, largePrimes:37099223 encountered
Relations: rels:33783957, finalFF:423024
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5477645 hash collisions in 39908701 relations
Msieve: matrix is 2271192 x 2271440 (617.6 MB)

Total sieving time: 40.07 hours.
Total relation processing time: 0.82 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,10000000,10000000,29,29,58,58,2.5,2.5,100000
total time: 40.90 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.96 BogoMIPS (lpj=2830483)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Total of 4 processors activated (22643.68 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:35:03 UTC 2008 年 11 月 27 日 (木) 7 時 35 分 3 秒 (日本時間)

32×10197+319

c181

name 名前Bob Backstrom
date 日付March 12, 2021 15:21:12 UTC 2021 年 3 月 13 日 (土) 0 時 21 分 12 秒 (日本時間)
composite number 合成数
3762067008168151022194894699568610957949422333451098339015967662036116574623325907567636778618002294790748882627079705936414468547083719595280475150096096505948360095327235790584417<181>
prime factors 素因数
16023164535905655885865858059950770799038865311801896837755750887<65>
234789263989512714775644644813259609894222599623654740524770063751948145217376256710840187660794846641629266801795191<117>
factorization results 素因数分解の結果
Number: n
N=3762067008168151022194894699568610957949422333451098339015967662036116574623325907567636778618002294790748882627079705936414468547083719595280475150096096505948360095327235790584417  ( 181 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat Mar 13 02:17:29 2021  p65 factor: 16023164535905655885865858059950770799038865311801896837755750887
Sat Mar 13 02:17:29 2021  p117 factor: 234789263989512714775644644813259609894222599623654740524770063751948145217376256710840187660794846641629266801795191
Sat Mar 13 02:17:29 2021  elapsed time 01:10:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 32x10^197+31 = 35(196)9
#
n: 3762067008168151022194894699568610957949422333451098339015967662036116574623325907567636778618002294790748882627079705936414468547083719595280475150096096505948360095327235790584417
m: 2000000000000000000000000000000000000000
deg: 5
c5: 100
c0: 31
skew: 0.79
# Murphy_E = 1.852e-11
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4460372 hash collisions in 31775800 relations (28972407 unique)
Msieve: matrix is 1690833 x 1691059 (586.5 MB)

Sieving start time : 2021/03/12 19:13:00
Sieving end time  : 2021/03/13 01:06:20

Total sieving time: 5hrs 53min 20secs.

Total relation processing time: 0hrs 56min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14200000,14200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e61900300Serge BatalovNovember 26, 2008 22:35:03 UTC 2008 年 11 月 27 日 (木) 7 時 35 分 3 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:41:30 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 30 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:16 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 16 秒 (日本時間)
4511e6300 / 4059Rich DickersonMarch 15, 2015 17:06:56 UTC 2015 年 3 月 16 日 (月) 2 時 6 分 56 秒 (日本時間)

32×10198+319

c188

name 名前matsui
date 日付July 18, 2011 10:04:53 UTC 2011 年 7 月 18 日 (月) 19 時 4 分 53 秒 (日本時間)
composite number 合成数
61513408440633233769175804193334658560096768726010248266057747175804461944490280204402710448117739539784026947020730750156179693749318863385957015427387083491430071311470379982032604544223<188>
prime factors 素因数
6817234265470326924794321303186340861400409928218522538288151137449958454258919855873141941<91>
9023220567936485631056330958966778526643946959030651437363067930408912548379760059652609408062403<97>
factorization results 素因数分解の結果
N=61513408440633233769175804193334658560096768726010248266057747175804461944490280204402710448117739539784026947020730750156179693749318863385957015427387083491430071311470379982032604544223
  ( 188 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=6817234265470326924794321303186340861400409928218522538288151137449958454258919855873141941 (pp91)
 r2=9023220567936485631056330958966778526643946959030651437363067930408912548379760059652609408062403 (pp97)
Version: Msieve v. 1.49
Total time:
Scaled time: 75.83 units (timescale=0.620).
Factorization parameters were as follows:
n: 61513408440633233769175804193334658560096768726010248266057747175804461944490280204402710448117739539784026947020730750156179693749318863385957015427387083491430071311470379982032604544223
m: 2000000000000000000000000000000000000000
deg: 5
c5: 1000
c0: 31
skew: 0.50
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7400000, 17000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2740473 x 2740688
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,199.000,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Serge BatalovNovember 26, 2008 22:35:03 UTC 2008 年 11 月 27 日 (木) 7 時 35 分 3 秒 (日本時間)

32×10200+319

c159

name 名前Serge Batalov
date 日付November 26, 2008 08:15:05 UTC 2008 年 11 月 26 日 (水) 17 時 15 分 5 秒 (日本時間)
composite number 合成数
262362872783082129449215695221492353124946646982395472933971735011442475223966634591618606688335708464841641830246220932709826554658566592487236871489517442043<159>
prime factors 素因数
4028141074602949806622803794063<31>
65132493605364354978645976959047691248910542452002211669809096765307018582702503470064768992992787394098368670588376753466133461<128>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=251454589
Step 1 took 24715ms
Step 2 took 16344ms
********** Factor found in step 2: 4028141074602949806622803794063
Found probable prime factor of 31 digits: 4028141074602949806622803794063
Probable prime cofactor 65132493605364354978645976959047691248910542452002211669809096765307018582702503470064768992992787394098368670588376753466133461 has 128 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10202+319

c167

name 名前Serge Batalov
date 日付November 25, 2008 09:10:37 UTC 2008 年 11 月 25 日 (火) 18 時 10 分 37 秒 (日本時間)
composite number 合成数
93735017419142966973418910827540052335169071751101068756063586576694870373675439538516057281829793306137353702753804511235129116730763041310762461527254640102785353811<167>
prime factors 素因数
466182519781633765887136567956083<33>
201069352542540042650344508717518021638710606851507419933772379949081681365191326619697562625614660401936804153516374403184966817798817<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=430933424
Step 1 took 20917ms
Step 2 took 13093ms
********** Factor found in step 2: 466182519781633765887136567956083
Found probable prime factor of 33 digits: 466182519781633765887136567956083
Probable prime cofactor 201069352542540042650344508717518021638710606851507419933772379949081681365191326619697562625614660401936804153516374403184966817798817 has 135 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10203+319

c195

name 名前Robert Backstrom
date 日付February 5, 2011 07:28:05 UTC 2011 年 2 月 5 日 (土) 16 時 28 分 5 秒 (日本時間)
composite number 合成数
641584936910875019843946417625785472163173501439221074311886285901208163161274434285895311195609892354259754638684606891633239986193581366192364115160904101836536300471030668822809886877369940699<195>
prime factors 素因数
75515528207840371558128599212706993129888517540935949495281000330280301404998673562595377<89>
8496066334132622845136095988125042896912868615713587438353415741377679607596097755183765491814729778627787<106>
factorization results 素因数分解の結果
Number: n
N=641584936910875019843946417625785472163173501439221074311886285901208163161274434285895311195609892354259754638684606891633239986193581366192364115160904101836536300471030668822809886877369940699
  ( 195 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sat Feb  5 18:22:59 2011  prp89 factor: 75515528207840371558128599212706993129888517540935949495281000330280301404998673562595377
Sat Feb  5 18:22:59 2011  prp106 factor: 8496066334132622845136095988125042896912868615713587438353415741377679607596097755183765491814729778627787
Sat Feb  5 18:22:59 2011  elapsed time 08:08:40 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
name: KA_3_5_202_9
n: 641584936910875019843946417625785472163173501439221074311886285901208163161274434285895311195609892354259754638684606891633239986193581366192364115160904101836536300471030668822809886877369940699
m: 20000000000000000000000000000000000000000
#  Diff: 204.51
deg: 5
c5: 1000
c0: 31
skew: 0.50
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5944347 hash collisions in 32273509 relations
Msieve: matrix is 2324118 x 2324343 (659.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.85 BogoMIPS (lpj=2830925)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Total of 4 processors activated (22644.58 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e62436300Serge BatalovNovember 26, 2008 22:35:04 UTC 2008 年 11 月 27 日 (木) 7 時 35 分 4 秒 (日本時間)
100Lionel DebrouxJuly 5, 2010 14:18:46 UTC 2010 年 7 月 5 日 (月) 23 時 18 分 46 秒 (日本時間)
2036Wataru SakaiJuly 6, 2010 02:21:30 UTC 2010 年 7 月 6 日 (火) 11 時 21 分 30 秒 (日本時間)

32×10204+319

c204

name 名前Serge Batalov
date 日付November 25, 2008 06:18:16 UTC 2008 年 11 月 25 日 (火) 15 時 18 分 16 秒 (日本時間)
composite number 合成数
507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937<204>
prime factors 素因数
14637538698830902307625620189239<32>
34700950643913702365065874534902278676298261512243498500603317994747009402362554449670858232087763450045141503365706972462373562457470861965763765551899124491831749801274983<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3260985831
Step 1 took 27673ms
Step 2 took 17877ms
********** Factor found in step 2: 14637538698830902307625620189239
Found probable prime factor of 32 digits: 14637538698830902307625620189239
Probable prime cofactor 34700950643913702365065874534902278676298261512243498500603317994747009402362554449670858232087763450045141503365706972462373562457470861965763765551899124491831749801274983 has 173 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)

32×10205+319

c139

name 名前Erik Branger
date 日付October 24, 2012 22:05:30 UTC 2012 年 10 月 25 日 (木) 7 時 5 分 30 秒 (日本時間)
composite number 合成数
1829031717446127362443109129193503831946930988401853595145718284750071386979220543265458431348526268917440532529962509763018688226149823917<139>
prime factors 素因数
2137904009065149316737225527536795832643943651444832253170621<61>
855525650211917653446260079595750310184708681945384571593189452032634745344177<78>
factorization results 素因数分解の結果
Number: 35559_205
N = 1829031717446127362443109129193503831946930988401853595145718284750071386979220543265458431348526268917440532529962509763018688226149823917 (139 digits)
Divisors found:
r1=2137904009065149316737225527536795832643943651444832253170621 (pp61)
r2=855525650211917653446260079595750310184708681945384571593189452032634745344177 (pp78)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 275.22 hours.
Factorization parameters were as follows:
# Murphy_E = 3.052e-11, selected by Erik Branger
n: 1829031717446127362443109129193503831946930988401853595145718284750071386979220543265458431348526268917440532529962509763018688226149823917
Y0: -763365677324689225975332382
Y1: 63043793734093
c0: -121911499690608868342662820500799845
c1: 613000479067610086947977176843
c2: 862513571763746925914531
c3: -261418421817492011
c4: -94685201454
c5: 7056
skew: 2860382.98
type: gnfs
# selected mechanically
rlim: 16400000
alim: 16400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [8200000, 19800000)
Relations: 23140526
Relations in full relation-set: 3698782 relations
Pruned matrix : 2290633 x 2290860
Polynomial selection time: 0.00 hours.
Total sieving time: 269.87 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.90 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16400000,16400000,28,28,55,55,2.6,2.6,100000
total time: 275.22 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 KamadaNovember 25, 2008 05:00:00 UTC 2008 年 11 月 25 日 (火) 14 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 25, 2009 17:40:55 UTC 2009 年 3 月 26 日 (木) 2 時 40 分 55 秒 (日本時間)
1836Wataru SakaiNovember 26, 2009 15:02:09 UTC 2009 年 11 月 27 日 (金) 0 時 2 分 9 秒 (日本時間)
4511e639623591Wataru SakaiJune 8, 2010 07:45:02 UTC 2010 年 6 月 8 日 (火) 16 時 45 分 2 秒 (日本時間)
371Wataru SakaiJuly 6, 2010 02:22:08 UTC 2010 年 7 月 6 日 (火) 11 時 22 分 8 秒 (日本時間)

32×10207+319

c194

name 名前Warut Roonguthai
date 日付November 20, 2012 17:40:48 UTC 2012 年 11 月 21 日 (水) 2 時 40 分 48 秒 (日本時間)
composite number 合成数
16023976538440650519675297043876049392610878172254625460666071041188924035375571837024225550667305626544240501637754713343209137527420944516777340562280505605001421892616454746223098981897170051<194>
prime factors 素因数
2984159620970238855218515320649009466131<40>
5369678091559586278172540233993618698385370490674566926697846023069154242253473517949532708067405748335601066719619562877552719793680365954713276601882321<154>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1498031173
Step 1 took 11981ms
Step 2 took 6864ms
********** Factor found in step 2: 2984159620970238855218515320649009466131
Found probable prime factor of 40 digits: 2984159620970238855218515320649009466131
Probable prime cofactor 5369678091559586278172540233993618698385370490674566926697846023069154242253473517949532708067405748335601066719619562877552719793680365954713276601882321 has 154 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)

32×10209+319

c210

name 名前Warut Roonguthai
date 日付November 20, 2012 16:50:59 UTC 2012 年 11 月 21 日 (水) 1 時 50 分 59 秒 (日本時間)
composite number 合成数
355555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<210>
prime factors 素因数
1617580237363009331603070185376311119<37>
composite cofactor 合成数の残り
219807059546662563353192927889449866796552989882918016856260566003138789954256880339193553361194716887928184787225641569418808563289981449770790518905226606257277305082326761<174>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1789432009
Step 1 took 11949ms
********** Factor found in step 1: 1617580237363009331603070185376311119
Found probable prime factor of 37 digits: 1617580237363009331603070185376311119
Composite cofactor 219807059546662563353192927889449866796552989882918016856260566003138789954256880339193553361194716887928184787225641569418808563289981449770790518905226606257277305082326761 has 174 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:02:27 UTC 2012 年 11 月 22 日 (木) 0 時 2 分 27 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:30 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 30 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:17 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 17 秒 (日本時間)
4511e6300 / 4075Rich DickersonMarch 15, 2015 17:06:28 UTC 2015 年 3 月 16 日 (月) 2 時 6 分 28 秒 (日本時間)

32×10210+319

c196

composite cofactor 合成数の残り
3453834258811345179376790003222167001117605518820056996306364354219066291528800574643746695361684288799329209045789220207107887773773126611087565701825358754918944402278605323715741160125359856069<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:02:38 UTC 2012 年 11 月 22 日 (木) 0 時 2 分 38 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:31 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 31 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:17 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 17 秒 (日本時間)
4511e60 / 3906--
5043e644 / 7482CypJanuary 29, 2014 02:56:56 UTC 2014 年 1 月 29 日 (水) 11 時 56 分 56 秒 (日本時間)
5511e72 / 17740KTakahashiSeptember 14, 2014 02:40:21 UTC 2014 年 9 月 14 日 (日) 11 時 40 分 21 秒 (日本時間)

32×10211+319

c177

name 名前Warut Roonguthai
date 日付November 20, 2012 16:20:35 UTC 2012 年 11 月 21 日 (水) 1 時 20 分 35 秒 (日本時間)
composite number 合成数
100255284768335598395856003247803669009819667060152372770351563907360317259552186221787531285443309323241409948128792825809850448087897786482210527405812722933522627907667671639<177>
prime factors 素因数
7027677829881411511072566639319<31>
14265777002761003819947329603834415991685102612887574903011203460026541982056809130482699217048475403160720536827762932340271578399916989034417281<146>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3343749709
Step 1 took 9984ms
Step 2 took 6099ms
********** Factor found in step 2: 7027677829881411511072566639319
Found probable prime factor of 31 digits: 7027677829881411511072566639319
Probable prime cofactor 14265777002761003819947329603834415991685102612887574903011203460026541982056809130482699217048475403160720536827762932340271578399916989034417281 has 146 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)

32×10214+319

c200

name 名前Bob Backstrom
date 日付October 24, 2020 21:37:28 UTC 2020 年 10 月 25 日 (日) 6 時 37 分 28 秒 (日本時間)
composite number 合成数
86026345893710692069485801273641762786505616225515858439916246303882896432355796378520125769165747404727254627542319708510519747890302681439337018153649205110224060233845015497857473479221457617870753<200>
prime factors 素因数
1438425968998490394813626868542315494480814050487311<52>
26014446175181602960131527814457038520342678647938115211<56>
2298949207965070419446324664032478236456211047343242400955564312170499400710238941277689382093<94>
factorization results 素因数分解の結果
Number: n
N=86026345893710692069485801273641762786505616225515858439916246303882896432355796378520125769165747404727254627542319708510519747890302681439337018153649205110224060233845015497857473479221457617870753  ( 200 digits)
SNFS difficulty: 216 digits.
Divisors found:

Sun Oct 25 08:14:19 2020  found factor: 26014446175181602960131527814457038520342678647938115211
Sun Oct 25 08:34:54 2020  p52 factor: 1438425968998490394813626868542315494480814050487311
Sun Oct 25 08:34:54 2020  p56 factor: 26014446175181602960131527814457038520342678647938115211
Sun Oct 25 08:34:54 2020  p94 factor: 2298949207965070419446324664032478236456211047343242400955564312170499400710238941277689382093
Sun Oct 25 08:34:54 2020  elapsed time 04:55:35 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 32x10^214+31 = 35(213)9
#
n: 86026345893710692069485801273641762786505616225515858439916246303882896432355796378520125769165747404727254627542319708510519747890302681439337018153649205110224060233845015497857473479221457617870753
m: 1000000000000000000000000000000000000
deg: 6
c6: 8
c0: 775
skew: 2.14
# Murphy_E = 3.938e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 56200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10456272 hash collisions in 64455536 relations (55397259 unique)
Msieve: matrix is 3308328 x 3308552 (1166.7 MB)

Sieving start time: 2020/10/24 07:17:55
Sieving end time  : 2020/10/25 03:21:48

Total sieving time: 20hrs 3min 53secs.

Total relation processing time: 4hrs 10min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 25min 42sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117041] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242464K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 484772K reserved, 0K cma-reserved)
[    0.153518] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.08 BogoMIPS (lpj=12798176)
[    0.152035] smpboot: Total of 16 processors activated (102385.40 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:02:45 UTC 2012 年 11 月 22 日 (木) 0 時 2 分 45 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:31 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 31 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:17 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 17 秒 (日本時間)
4511e6129 / 4075KTakahashiJuly 4, 2015 00:09:40 UTC 2015 年 7 月 4 日 (土) 9 時 9 分 40 秒 (日本時間)

32×10215+319

c179

composite cofactor 合成数の残り
21914470931146614023290331043266940575399496089533382420586536958246799215288697315394246065302406713245523829511138424907707779699851447772112431614874562004995451530050348255849<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:02:53 UTC 2012 年 11 月 22 日 (木) 0 時 2 分 53 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:41:32 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 32 秒 (日本時間)
4511e6806 / 4363506CypMarch 11, 2014 08:33:32 UTC 2014 年 3 月 11 日 (火) 17 時 33 分 32 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:24 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 24 秒 (日本時間)

32×10216+319

c171

name 名前Warut Roonguthai
date 日付November 20, 2012 17:20:57 UTC 2012 年 11 月 21 日 (水) 2 時 20 分 57 秒 (日本時間)
composite number 合成数
307612078466310651804682598225981962682375151393810037095216515218468433413436217590113344315209618856118345890548844710658615169019688131194920103336092368076707934117389<171>
prime factors 素因数
30284273545603629198188845980617491<35>
10157485798795617000702963707285806385947323773610085470712446812420348352210954369501701317800911940647302489901674483077332793710851679<137>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2908556731
Step 1 took 7566ms
Step 2 took 5694ms
********** Factor found in step 2: 30284273545603629198188845980617491
Found probable prime factor of 35 digits: 30284273545603629198188845980617491
Probable prime cofactor 10157485798795617000702963707285806385947323773610085470712446812420348352210954369501701317800911940647302489901674483077332793710851679 has 137 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)

32×10217+319

c186

composite cofactor 合成数の残り
158475210233790238748424447856346804814199979359677337153222986786552278161409489334611441684899948640822641008228329247584761538034480633777280450744666097255810001128381531799938645671<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:03:02 UTC 2012 年 11 月 22 日 (木) 0 時 3 分 2 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:41:32 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 32 秒 (日本時間)
4511e6684 / 4208384CypMarch 9, 2014 16:28:58 UTC 2014 年 3 月 10 日 (月) 1 時 28 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:24 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 24 秒 (日本時間)
5043e644 / 7382CypFebruary 1, 2014 05:22:56 UTC 2014 年 2 月 1 日 (土) 14 時 22 分 56 秒 (日本時間)

32×10219+319

c216

name 名前Bob Backstrom
date 日付April 10, 2018 08:58:51 UTC 2018 年 4 月 10 日 (火) 17 時 58 分 51 秒 (日本時間)
composite number 合成数
541262833849224471845875408061433331641886977554506858814972683141354171952436528475499399536543698516601545981969181847397709781634275468953502139679640060215490265726222492853639146834458145159926252938888043165711<216>
prime factors 素因数
2678231384058097319008851312663893127774797368143782189<55>
202097114189250786306241811261009104220367234354853280294575490171329458727478028941044685213223055958621659936481152535686481235789046543338685637360036896861099<162>
factorization results 素因数分解の結果
Number: n
N=541262833849224471845875408061433331641886977554506858814972683141354171952436528475499399536543698516601545981969181847397709781634275468953502139679640060215490265726222492853639146834458145159926252938888043165711
  ( 216 digits)
SNFS difficulty: 220 digits.
Divisors found:

Tue Apr 10 18:54:20 2018  p55 factor: 2678231384058097319008851312663893127774797368143782189
Tue Apr 10 18:54:20 2018  p162 factor: 202097114189250786306241811261009104220367234354853280294575490171329458727478028941044685213223055958621659936481152535686481235789046543338685637360036896861099
Tue Apr 10 18:54:20 2018  elapsed time 11:44:49 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.112).
Factorization parameters were as follows:
#
# 32x10^219+31 35(218)9
#
n: 541262833849224471845875408061433331641886977554506858814972683141354171952436528475499399536543698516601545981969181847397709781634275468953502139679640060215490265726222492853639146834458145159926252938888043165711
m: 2000000000000000000000000000000000000
deg: 6
c6: 500
c0: 31
skew: 0.63
# Murphy_E = 1.708e-12
type: snfs
lss: 1
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 33000000/33000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 103700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14626234 hash collisions in 67585411 relations (54111267 unique)
Msieve: matrix is 5268069 x 5268294 (1499.0 MB)

Sieving start time: 2018/04/07 13:25:03
Sieving end time  : 2018/04/10 07:07:25

Total sieving time: 65hrs 42min 22secs.

Total relation processing time: 11hrs 13min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 6sec.

Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,33000000,33000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.064000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16292592K/16703460K available (12300K kernel code, 2482K rwdata, 4000K rodata, 2372K init, 2368K bss, 410868K reserved, 0K cma-reserved)
[    0.096647] x86/mm: Memory block size: 128MB
[    0.004000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.84 BogoMIPS (lpj=11977684)
[    0.094230] smpboot: Total of 16 processors activated (95821.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:03:17 UTC 2012 年 11 月 22 日 (木) 0 時 3 分 17 秒 (日本時間)
403e60--
4511e64250850Serge BatalovNovember 8, 2013 17:15:04 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 4 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:11 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 11 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:32 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 32 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:38 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 38 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:24 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 24 秒 (日本時間)
5043e651 / 6593KTakahashiAugust 25, 2014 22:37:23 UTC 2014 年 8 月 26 日 (火) 7 時 37 分 23 秒 (日本時間)

32×10221+319

c222

name 名前Warut Roonguthai
date 日付November 20, 2012 21:02:51 UTC 2012 年 11 月 21 日 (水) 6 時 2 分 51 秒 (日本時間)
composite number 合成数
355555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<222>
prime factors 素因数
148235192603244369952072850943517615999<39>
composite cofactor 合成数の残り
2398590707857141070936637331020701556002357558847137105495949003039134162174708163539004789555765778054677964118493046219463528961037313695627592018376769430398223038032756105313100441<184>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4105062063
Step 1 took 13759ms
Step 2 took 8018ms
********** Factor found in step 2: 148235192603244369952072850943517615999
Found probable prime factor of 39 digits: 148235192603244369952072850943517615999
Composite cofactor 2398590707857141070936637331020701556002357558847137105495949003039134162174708163539004789555765778054677964118493046219463528961037313695627592018376769430398223038032756105313100441 has 184 digits
software ソフトウェア
GMP-ECM 6.3

c184

name 名前Erik Branger
date 日付July 5, 2021 21:52:32 UTC 2021 年 7 月 6 日 (火) 6 時 52 分 32 秒 (日本時間)
composite number 合成数
2398590707857141070936637331020701556002357558847137105495949003039134162174708163539004789555765778054677964118493046219463528961037313695627592018376769430398223038032756105313100441<184>
prime factors 素因数
53677686522666826073059367777685625017332315670931489068138927941<65>
44685061209638246246580604015431096947315409777801553477206203608753151193655459972473661796694234874696356256825522501<119>
factorization results 素因数分解の結果
Number: 35559_221
N = 2398590707857141070936637331020701556002357558847137105495949003039134162174708163539004789555765778054677964118493046219463528961037313695627592018376769430398223038032756105313100441 (184 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=53677686522666826073059367777685625017332315670931489068138927941 (pp65)
r2=44685061209638246246580604015431096947315409777801553477206203608753151193655459972473661796694234874696356256825522501 (pp119)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 86.60 hours.
Factorization parameters were as follows:
n: 2398590707857141070936637331020701556002357558847137105495949003039134162174708163539004789555765778054677964118493046219463528961037313695627592018376769430398223038032756105313100441
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 320
c0: 31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8212194 relations
Pruned matrix : 7050918 x 7051144
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 38.55 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 47.13 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 86.60 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:03:24 UTC 2012 年 11 月 22 日 (木) 0 時 3 分 24 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:33 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:18 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 18 秒 (日本時間)
4511e60 / 3906--
5043e644 / 7482CypJanuary 27, 2014 13:44:35 UTC 2014 年 1 月 27 日 (月) 22 時 44 分 35 秒 (日本時間)
5511e72 / 17740KTakahashiSeptember 14, 2014 01:55:22 UTC 2014 年 9 月 14 日 (日) 10 時 55 分 22 秒 (日本時間)

32×10222+319

c178

name 名前Erik Branger
date 日付October 29, 2020 20:36:59 UTC 2020 年 10 月 30 日 (金) 5 時 36 分 59 秒 (日本時間)
composite number 合成数
8644654256994070414057380432578595100390009820008385100024865209034997682750424671486128429801121954159358232026887721613339772957257482156439238382728569469498875558139462753653<178>
prime factors 素因数
909031517830643597562778009041447978483055883891323141660208164864469286268726357<81>
9509740957743784116812954799562416770970166683693779335497388090958795377417177952163244216224929<97>
factorization results 素因数分解の結果
Number: 35559_222
N = 8644654256994070414057380432578595100390009820008385100024865209034997682750424671486128429801121954159358232026887721613339772957257482156439238382728569469498875558139462753653 (178 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=909031517830643597562778009041447978483055883891323141660208164864469286268726357 (pp81)
r2=9509740957743784116812954799562416770970166683693779335497388090958795377417177952163244216224929 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 79.02 hours.
Factorization parameters were as follows:
n: 8644654256994070414057380432578595100390009820008385100024865209034997682750424671486128429801121954159358232026887721613339772957257482156439238382728569469498875558139462753653
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3200
c0: 31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 35727878
Relations: 9807160 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 32.35 hours.
Total relation processing time: 0.45 hours.
Pruned matrix : 8324788 x 8325013
Matrix solve time: 45.97 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 79.02 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:03:34 UTC 2012 年 11 月 22 日 (木) 0 時 3 分 34 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:33 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 33 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:18 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 18 秒 (日本時間)
4511e6566 / 4075Youcef LemsaferNovember 16, 2014 16:20:36 UTC 2014 年 11 月 17 日 (月) 1 時 20 分 36 秒 (日本時間)

32×10223+319

c193

composite cofactor 合成数の残り
2314446972086697958137961899677235943055217305606149154175522429435667306320985767924842220698597442889047590049187380937261853363572772110579335769277586089864822378731009989179914734146989577<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:03:45 UTC 2012 年 11 月 22 日 (木) 0 時 3 分 45 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:34 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 34 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:18 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 18 秒 (日本時間)
4511e6129 / 4075KTakahashiJuly 3, 2015 20:27:15 UTC 2015 年 7 月 4 日 (土) 5 時 27 分 15 秒 (日本時間)

32×10224+319

c180

name 名前Warut Roonguthai
date 日付November 20, 2012 21:26:19 UTC 2012 年 11 月 21 日 (水) 6 時 26 分 19 秒 (日本時間)
composite number 合成数
274536144011187229593175174463489165544692394930261232864153723578942317869511999335390507539452515283691736858220336830313242748140042249046439838392844631584113166773833402449493<180>
prime factors 素因数
105633642577222359840351629003<30>
2598946105739849671567009997503623591576964574183631410885215638366828002315876267343584415343846401809308304800707873375087253933435136549344344916831<151>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2696666257
Step 1 took 10140ms
Step 2 took 6396ms
********** Factor found in step 2: 105633642577222359840351629003
Found probable prime factor of 30 digits: 105633642577222359840351629003
Probable prime cofactor 2598946105739849671567009997503623591576964574183631410885215638366828002315876267343584415343846401809308304800707873375087253933435136549344344916831 has 151 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)

32×10227+319

c176

composite cofactor 合成数の残り
76321574493792716162267653507661548747968136078977205501834563745618050956638898699741806265607288061634957673557098973350124337547670299415611995224310275947640788621002355997<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:04:09 UTC 2012 年 11 月 22 日 (木) 0 時 4 分 9 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:41:35 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 35 秒 (日本時間)
4511e6816 / 4363516CypJanuary 9, 2014 20:14:34 UTC 2014 年 1 月 10 日 (金) 5 時 14 分 34 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:25 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 25 秒 (日本時間)

32×10228+319

c191

composite cofactor 合成数の残り
23808791847165827513065855936843743775128039889310586986550100725983377081245383356752346565061532427980379091973309661657053346977738873011988021864789712263035001802413061067746101791270337<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:04:16 UTC 2012 年 11 月 22 日 (木) 0 時 4 分 16 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:35 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 35 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:19 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 19 秒 (日本時間)
4511e6129 / 4075CypFebruary 1, 2015 08:31:19 UTC 2015 年 2 月 1 日 (日) 17 時 31 分 19 秒 (日本時間)

32×10230+319

c219

composite cofactor 合成数の残り
561725741758895896350828197817813946726080684670072516588959737758218570606207518299393195965490830607407786799735209596010374247163785531551278107038396940679634797376674685541236145445787115877312380078062901113033567<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:04:26 UTC 2012 年 11 月 22 日 (木) 0 時 4 分 26 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:36 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 36 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:19 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 19 秒 (日本時間)
4511e61153 / 4075Youcef LemsaferNovember 4, 2014 14:32:07 UTC 2014 年 11 月 4 日 (火) 23 時 32 分 7 秒 (日本時間)

32×10233+319

c205

name 名前Warut Roonguthai
date 日付November 20, 2012 21:34:17 UTC 2012 年 11 月 21 日 (水) 6 時 34 分 17 秒 (日本時間)
composite number 合成数
3287088205495260460886418570903407386953574386052924009715475042873470961506602264601358276182062296916964625643014013436629520866583219229958786799808404277263531814688181318153488700713163131936958694761<205>
prime factors 素因数
750849085616470382696943243405086742973<39>
composite cofactor 合成数の残り
4377828072862949701040355451568978191920285121797786792732650081503348998423116591117692817634980534506824362881113623083490454603808394949075170984049294864341776157<166>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3542043555
Step 1 took 12028ms
Step 2 took 7223ms
********** Factor found in step 2: 750849085616470382696943243405086742973
Found probable prime factor of 39 digits: 750849085616470382696943243405086742973
Composite cofactor 4377828072862949701040355451568978191920285121797786792732650081503348998423116591117692817634980534506824362881113623083490454603808394949075170984049294864341776157 has 166 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:04:41 UTC 2012 年 11 月 22 日 (木) 0 時 4 分 41 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:37 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 37 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:19 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 19 秒 (日本時間)
4511e60 / 3906--
5043e644 / 7482CypJanuary 27, 2014 03:04:24 UTC 2014 年 1 月 27 日 (月) 12 時 4 分 24 秒 (日本時間)
5511e72 / 17740KTakahashiSeptember 14, 2014 01:55:47 UTC 2014 年 9 月 14 日 (日) 10 時 55 分 47 秒 (日本時間)

32×10234+319

c222

composite cofactor 合成数の残り
634650476617775612147026204794065042602278683849709823360506702077864499207067154059288241661807996838495331376792905104570226489709755002419689289236058900091467972917419840645875246052829259379316770914227167611881032099<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:04:49 UTC 2012 年 11 月 22 日 (木) 0 時 4 分 49 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:37 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 37 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:20 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 20 秒 (日本時間)
4511e60 / 3906--
5043e644 / 7482CypFebruary 2, 2014 03:36:50 UTC 2014 年 2 月 2 日 (日) 12 時 36 分 50 秒 (日本時間)
5511e72 / 17740KTakahashiSeptember 14, 2014 03:44:41 UTC 2014 年 9 月 14 日 (日) 12 時 44 分 41 秒 (日本時間)

32×10236+319

c192

composite cofactor 合成数の残り
303802484037665596595402053229266646067938670717257353819073472574964965509691014254520361196859227306601111579789811073187964424560615351622897651525795168266370002085285157688698195467241241<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:04:57 UTC 2012 年 11 月 22 日 (木) 0 時 4 分 57 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:38 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 38 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:20 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 20 秒 (日本時間)
4511e6384 / 4075Youcef LemsaferNovember 3, 2014 22:07:17 UTC 2014 年 11 月 4 日 (火) 7 時 7 分 17 秒 (日本時間)

32×10237+319

c235

composite cofactor 合成数の残り
1180071541837223881697827930818305859792749935464837555776818969650035033373898292583987904266696168455212597263709112364937124313161485415053287605561087140907917542501014123981266364273334070878046981598259394475790094774495703802043<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:05:08 UTC 2012 年 11 月 22 日 (木) 0 時 5 分 8 秒 (日本時間)
403e60--
4511e642501000Dmitry DomanovDecember 28, 2012 15:33:16 UTC 2012 年 12 月 29 日 (土) 0 時 33 分 16 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:10 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 10 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:47 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 47 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:47 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 47 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:21 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 21 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:25 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 25 秒 (日本時間)
5043e651 / 6593KTakahashiAugust 26, 2014 10:19:16 UTC 2014 年 8 月 26 日 (火) 19 時 19 分 16 秒 (日本時間)

32×10239+319

c228

composite cofactor 合成数の残り
395592522940710743192969146473106391705034931215044914434494070308149717293110454659989761448137185744887841805106757849156468056258171578455059734843332198599727686605978101568825685642877656949401269023411779503448306146992177<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:05:27 UTC 2012 年 11 月 22 日 (木) 0 時 5 分 27 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:41:39 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 39 秒 (日本時間)
4511e6811 / 4363511CypJanuary 10, 2014 17:43:17 UTC 2014 年 1 月 11 日 (土) 2 時 43 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:31:26 UTC 2014 年 5 月 27 日 (火) 9 時 31 分 26 秒 (日本時間)

32×10242+319

c243

name 名前Warut Roonguthai
date 日付November 20, 2012 21:19:43 UTC 2012 年 11 月 21 日 (水) 6 時 19 分 43 秒 (日本時間)
composite number 合成数
355555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<243>
prime factors 素因数
32254288410431205603462454084639<32>
11023512626636246883522887504782241573644339168401152679931231327104132303406443329841524738521420557191747377938513782104481496485443568616431107038363175696075428716801219081951840077759743818425236813480948281<212>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2643143347
Step 1 took 13042ms
Step 2 took 7254ms
********** Factor found in step 2: 32254288410431205603462454084639
Found probable prime factor of 32 digits: 32254288410431205603462454084639
Probable prime cofactor 11023512626636246883522887504782241573644339168401152679931231327104132303406443329841524738521420557191747377938513782104481496485443568616431107038363175696075428716801219081951840077759743818425236813480948281 has 212 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)

32×10244+319

c192

composite cofactor 合成数の残り
904313991721053263974224701157663436170356239973325859275767147648121980850802047858437150823452700931460234447643364078686665167237233725253853094487017450263907984687592538706384785503537949<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:05:35 UTC 2012 年 11 月 22 日 (木) 0 時 5 分 35 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:39 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 39 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:21 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 21 秒 (日本時間)
4511e60 / 3906--
5043e644 / 7482CypJanuary 12, 2014 16:00:09 UTC 2014 年 1 月 13 日 (月) 1 時 0 分 9 秒 (日本時間)
5511e72 / 17740KTakahashiSeptember 14, 2014 01:56:09 UTC 2014 年 9 月 14 日 (日) 10 時 56 分 9 秒 (日本時間)

32×10246+319

c223

composite cofactor 合成数の残り
2192387887142413614839599403032555899051782962060211962063475277101753373624763093931859279831702964041399787712910423638416095720013904961141030345297600935591752822474805125293828628205520223273931881749831587034822761213<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:05:44 UTC 2012 年 11 月 22 日 (木) 0 時 5 分 44 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:40 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 40 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:21 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 21 秒 (日本時間)
4511e60 / 3906--
5043e644 / 7482CypJanuary 13, 2014 06:31:54 UTC 2014 年 1 月 13 日 (月) 15 時 31 分 54 秒 (日本時間)
5511e72 / 17740KTakahashiSeptember 14, 2014 04:13:26 UTC 2014 年 9 月 14 日 (日) 13 時 13 分 26 秒 (日本時間)

32×10247+319

c235

composite cofactor 合成数の残り
7644492144653513321001290747225862048385879902025017489377414781401034350484292072065143384074684075318262818974861371935986235511600917097831806330133739342541415716469099181281500847795469122977575590296683948079145760551528778792637<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:05:53 UTC 2012 年 11 月 22 日 (木) 0 時 5 分 53 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:41 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 41 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:21 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 21 秒 (日本時間)
4511e60 / 3906--
5043e644 / 7482CypJanuary 12, 2014 12:02:38 UTC 2014 年 1 月 12 日 (日) 21 時 2 分 38 秒 (日本時間)
5511e72 / 17740KTakahashiSeptember 14, 2014 04:38:52 UTC 2014 年 9 月 14 日 (日) 13 時 38 分 52 秒 (日本時間)

32×10248+319

c229

composite cofactor 合成数の残り
1520218619673256927676475736924370332653680464782689793269768484398075822006108098373762226521041061993779954153415662200993358907054941165678532645795948748137605861131836421837908317800319735473781520632978536538966944037271989<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:06:00 UTC 2012 年 11 月 22 日 (木) 0 時 6 分 0 秒 (日本時間)
403e61600300Serge BatalovJanuary 9, 2014 04:41:43 UTC 2014 年 1 月 9 日 (木) 13 時 41 分 43 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:02:22 UTC 2014 年 5 月 27 日 (火) 3 時 2 分 22 秒 (日本時間)
4511e6140 / 4075Youcef LemsaferNovember 3, 2014 12:35:01 UTC 2014 年 11 月 3 日 (月) 21 時 35 分 1 秒 (日本時間)

32×10250+319

c242

composite cofactor 合成数の残り
18292506794179007489008931143863889114073934831512356783469067738090206982150137743282136602014238307530451731418525947225572210450259541692077152275494516254563793018408126698442713982790953009816344334481617951413645528135237069339763352061<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61118118Makoto KamadaNovember 20, 2012 01:00:00 UTC 2012 年 11 月 20 日 (火) 10 時 0 分 0 秒 (日本時間)
1000Warut RoonguthaiNovember 21, 2012 15:06:09 UTC 2012 年 11 月 22 日 (木) 0 時 6 分 9 秒 (日本時間)
403e60--
4511e6600Dmitry DomanovNovember 23, 2012 22:57:34 UTC 2012 年 11 月 24 日 (土) 7 時 57 分 34 秒 (日本時間)
5043e61100 / 7412800Dmitry DomanovDecember 12, 2012 20:18:59 UTC 2012 年 12 月 13 日 (木) 5 時 18 分 59 秒 (日本時間)
300Dmitry DomanovDecember 28, 2012 10:10:53 UTC 2012 年 12 月 28 日 (金) 19 時 10 分 53 秒 (日本時間)

32×10251+319

c245

composite cofactor 合成数の残り
15788730133700792344100018723953745119105270820362829853771047653935073810907191273671481849441126566156301392470772013791001845796298214791473479835282691366279785050846445910714208092236340455367995802921340383652623148752272658185819351043621<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62400ebinaOctober 12, 2021 21:12:22 UTC 2021 年 10 月 13 日 (水) 6 時 12 分 22 秒 (日本時間)

32×10255+319

c256

composite cofactor 合成数の残り
3555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Serge BatalovApril 3, 2017 02:44:26 UTC 2017 年 4 月 3 日 (月) 11 時 44 分 26 秒 (日本時間)
4511e62000Dmitry DomanovApril 3, 2017 14:53:16 UTC 2017 年 4 月 3 日 (月) 23 時 53 分 16 秒 (日本時間)
5043e670603000Dmitry DomanovApril 7, 2017 16:19:35 UTC 2017 年 4 月 8 日 (土) 1 時 19 分 35 秒 (日本時間)
1280Dmitry DomanovApril 10, 2017 14:31:13 UTC 2017 年 4 月 10 日 (月) 23 時 31 分 13 秒 (日本時間)
1500Dmitry DomanovApril 19, 2017 18:41:00 UTC 2017 年 4 月 20 日 (木) 3 時 41 分 0 秒 (日本時間)
1280Dmitry DomanovApril 20, 2017 13:50:55 UTC 2017 年 4 月 20 日 (木) 22 時 50 分 55 秒 (日本時間)
5511e70 / 15110--
6026e70 / 41155--
6585e71 / 69231Dmitry DomanovApril 20, 2017 13:50:55 UTC 2017 年 4 月 20 日 (木) 22 時 50 分 55 秒 (日本時間)

32×10256+319

c242

name 名前Marlon Trifunovic
date 日付February 16, 2022 19:23:27 UTC 2022 年 2 月 17 日 (木) 4 時 23 分 27 秒 (日本時間)
composite number 合成数
59534641007118265533489871220215895277767379612457446923022549811172481216173903455519681139832183093815692263234478926733726680862992860254445170818130452402315162518138999059323052580936858183353668392176103148603536783417373131153928840397<242>
prime factors 素因数
35267432482530347419269328642498260433<38>
composite cofactor 合成数の残り
1688091159928033650366674034297284974298649417414271582805304681646939042742806964322930206560627982737602355577615273859085071516501965029419855702607585963641327435812522928312596911696401935832565160509<205>
factorization results 素因数分解の結果
Run 95 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:440572989
Step 1 took 12381ms
Step 2 took 5309ms
********** Factor found in step 2: 35267432482530347419269328642498260433
Found prime factor of 38 digits: 35267432482530347419269328642498260433
Composite cofactor 1688091159928033650366674034297284974298649417414271582805304681646939042742806964322930206560627982737602355577615273859085071516501965029419855702607585963641327435812522928312596911696401935832565160509 has 205 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 18, 2022 10:02:27 UTC 2022 年 2 月 18 日 (金) 19 時 2 分 27 秒 (日本時間)

32×10257+319

c215

composite cofactor 合成数の残り
14119693535202869693801026006984301214380421286731324284274341050789032878078555574111920508437844084930472391702668889149912056294290709329099891403420358734675867722303256903523257990838529418787331882255761773011<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e623501000Dmitry DomanovApril 7, 2017 08:18:25 UTC 2017 年 4 月 7 日 (金) 17 時 18 分 25 秒 (日本時間)
1350iveliveJune 5, 2020 02:48:55 UTC 2020 年 6 月 5 日 (金) 11 時 48 分 55 秒 (日本時間)
4511e6439 / 3919iveliveJune 5, 2020 03:07:39 UTC 2020 年 6 月 5 日 (金) 12 時 7 分 39 秒 (日本時間)

32×10258+319

c231

composite cofactor 合成数の残り
345780525809371268115099458319538155875714687469127497194792480494445593358447372611034938069490773727343964985032944957581805250505925230091645815145786170590896192989345464981528117594274116022029409209261964857652246780652107093<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 08:31:18 UTC 2022 年 2 月 19 日 (土) 17 時 31 分 18 秒 (日本時間)

32×10259+319

c219

composite cofactor 合成数の残り
403346245978504789210369318380903110002852340009851739911670373778195939481141734498953759093684214013790398866192168414557411832712459772765266555271673652676351951445867858099115951488341157474940100562711483193841017<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovApril 7, 2017 09:58:19 UTC 2017 年 4 月 7 日 (金) 18 時 58 分 19 秒 (日本時間)

32×10260+319

c197

composite cofactor 合成数の残り
39112628084110433115389895829208114159859707930028740015281611501634340114281350997547589960361445721226880189272327646853875499993408681340031335543837367988488833731222326350074451803857421285089<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e623501000Dmitry DomanovApril 7, 2017 08:18:52 UTC 2017 年 4 月 7 日 (金) 17 時 18 分 52 秒 (日本時間)
1350iveliveJune 5, 2020 02:49:27 UTC 2020 年 6 月 5 日 (金) 11 時 49 分 27 秒 (日本時間)
4511e6588 / 3919iveliveJune 5, 2020 03:06:16 UTC 2020 年 6 月 5 日 (金) 12 時 6 分 16 秒 (日本時間)

32×10261+319

c220

composite cofactor 合成数の残り
6956499984740153242633030489368752073498009284840856941703000076632190328146940785168728102103179602723569527581265575561932568532663817373600470203857366739068659015787342788261474990340696139556048343606706915711246353<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovApril 7, 2017 09:58:47 UTC 2017 年 4 月 7 日 (金) 18 時 58 分 47 秒 (日本時間)

32×10262+319

c259

composite cofactor 合成数の残り
2809161377542510512408592522363558154029829782377779533503638741846848033148104255001624046421391763889986217551991432057798495342937153792806791147630209019163747772422813901837367113498898282022245046658414755120135542036466426132223714589204041680931939287<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62104ebinaOctober 23, 2021 22:25:26 UTC 2021 年 10 月 24 日 (日) 7 時 25 分 26 秒 (日本時間)

32×10263+319

c144

name 名前Serge Batalov
date 日付April 3, 2017 03:16:14 UTC 2017 年 4 月 3 日 (月) 12 時 16 分 14 秒 (日本時間)
composite number 合成数
146607645141841679133011476785690033689475752964998015910823240110758705648948467643578558108789851476808058384294103992284202949902781914676477<144>
prime factors 素因数
486950109489419848095770773962880050816967<42>
404385425672511384793201388434726080743661904417<48>
744520491333110745274008878109429931463481716503334843<54>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:191232586
Step 1 took 15796ms
Step 2 took 7431ms
********** Factor found in step 2: 404385425672511384793201388434726080743661904417
Found prime factor of 48 digits: 404385425672511384793201388434726080743661904417
Composite cofactor 362544334771774938492689540067722507627569516167628941518506791616535590170686785281162106681181 has 96 digits


SIQS elapsed time = 1080.8752 seconds.
***factors found***
P42 = 486950109489419848095770773962880050816967
P54 = 744520491333110745274008878109429931463481716503334843

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)

32×10265+319

c249

composite cofactor 合成数の残り
133311977494494108463681041356610547818566244351769350780787289913921070756650969540732244579338066375824017461740411484374896900612817373881520105002309784576984429294939959258979593904961678281615894175417745205023021568156258037668157484542697137<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 18:24:42 UTC 2022 年 3 月 5 日 (土) 3 時 24 分 42 秒 (日本時間)

32×10266+319

c243

composite cofactor 合成数の残り
323140863350381962222911573868883705981733318249606457139169674745418655306851427763659005365650338809754742729858657285242412548994540272680320623258612717247370820817495621198562963526714480948091499027510546088371648521292537987849704104117<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 05:39:57 UTC 2022 年 3 月 3 日 (木) 14 時 39 分 57 秒 (日本時間)

32×10267+319

c259

composite cofactor 合成数の残り
1242513013939486790202953851325629755209591606484266524248706747210145235492913569256791057763588098994201817408075465367330643756969736240944513852211530662159573717389558344397681663414225966989638863714031792340383563129838629294436492631013526943969432787<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 12:24:22 UTC 2022 年 3 月 7 日 (月) 21 時 24 分 22 秒 (日本時間)

32×10270+319

c261

composite cofactor 合成数の残り
311260499136419558454635221991169050162911103910860106434809251559098765169156054958498336143544713126899141399858726530067904755556934739154960313003334602175377600947988033547818180029914204043866988717816392191724600739319996796494103392380527078108041563981<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 24, 2022 01:39:15 UTC 2022 年 2 月 24 日 (木) 10 時 39 分 15 秒 (日本時間)

32×10271+319

c270

name 名前Marlon Trifunovic
date 日付February 28, 2022 23:25:21 UTC 2022 年 3 月 1 日 (火) 8 時 25 分 21 秒 (日本時間)
composite number 合成数
911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911681<270>
prime factors 素因数
821606009584990154208591293320672340807<39>
composite cofactor 合成数の残り
1109632720604636503541292753688236347297101524163605217324068621969539661407354543937146364304982267724143128459211696633801289363710102438830232118805473987523134966885989972254983201989410591709120028569528946701507088321966992183<232>
factorization results 素因数分解の結果
Run 454 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3883532655
Step 1 took 31391ms
Step 2 took 11009ms
********** Factor found in step 2: 821606009584990154208591293320672340807
Found prime factor of 39 digits: 821606009584990154208591293320672340807
Composite cofactor 1109632720604636503541292753688236347297101524163605217324068621969539661407354543937146364304982267724143128459211696633801289363710102438830232118805473987523134966885989972254983201989410591709120028569528946701507088321966992183 has 232 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 22, 2022 14:40:33 UTC 2022 年 2 月 22 日 (火) 23 時 40 分 33 秒 (日本時間)

32×10273+319

c225

composite cofactor 合成数の残り
298121809706105653129225113152032779849789762273356416214654244399427614471462758120052656868203064628038723206261152146813135757851459005294037620637645273413214914467758125323071709494425981224013232918636646731225566257727<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 20, 2022 20:20:44 UTC 2022 年 2 月 21 日 (月) 5 時 20 分 44 秒 (日本時間)

32×10274+319

c272

composite cofactor 合成数の残り
11653738300739284023453148330237809097199461014603590808113915291889726501329254524928074583925124731417750100149313521978222076550493462981171929057868094249608507228959539677337120798281073600640955606540660621289923158163079500345970355803197494446265341053934957573109<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 9, 2022 21:58:41 UTC 2022 年 3 月 10 日 (木) 6 時 58 分 41 秒 (日本時間)

32×10276+319

c267

composite cofactor 合成数の残り
300424381329614985497300694599269264218764117588588601295474224235369719263691194025079705828021227709305281389309598287136030316959623708492801562807391337152090864969815464843033050599564684543833068175878093013891313946180365509409653601764126823906342963418842003<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 04:41:27 UTC 2022 年 3 月 7 日 (月) 13 時 41 分 27 秒 (日本時間)

32×10278+319

c262

composite cofactor 合成数の残り
5735921358778763954148681682933137920819560375237899022237208540635780847917865199753363932851234622541289508367800210656860600165101887384079760976079432908165695197097519519310383434908547086321012817106205054777237124264784854962714968382971483398538786645067<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 08:34:55 UTC 2022 年 3 月 7 日 (月) 17 時 34 分 55 秒 (日本時間)

32×10279+319

c240

composite cofactor 合成数の残り
249788480264713849378601317654201989832724891526738109414391901487918194776596755796752349798272081305040345178067854391073075299174155904124611806987637667895297834783409033261659438814766862282356111643498239682940296812868463830254076117<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 17:42:09 UTC 2022 年 3 月 4 日 (金) 2 時 42 分 9 秒 (日本時間)

32×10281+319

c231

composite cofactor 合成数の残り
306861868199940648920692234271857581888167840548532417083549488520307639612677464928124896528320683667205934276587569350275798750043992314331263775672218259283342416285628774212492811513607027550736777784092784204484880181035328433<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 20, 2022 16:48:16 UTC 2022 年 2 月 21 日 (月) 1 時 48 分 16 秒 (日本時間)

32×10283+319

c239

composite cofactor 合成数の残り
45745928094660828125196136833044345407103597990372019668819579207096440506812324174819214716450831456450754867159620636884856454717151986662464696413343655232846233282831384650884101329435761972537889144445840355971934560584783825564454233<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 23:24:59 UTC 2022 年 3 月 4 日 (金) 8 時 24 分 59 秒 (日本時間)

32×10284+319

c244

composite cofactor 合成数の残り
4784246444596107472092161341683252813866240623560553529637494257581747192112316517047035626346257987371435609939780659555097295801546434451127473815164882462077261552604901409433050806547011793930371322106654016019655470638742509687015320102547<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 23:26:18 UTC 2022 年 3 月 4 日 (金) 8 時 26 分 18 秒 (日本時間)

32×10286+319

c252

composite cofactor 合成数の残り
854031962256596175602091303468863896878547226193600507039900784701515415995866360641865538982399286689210163070956973426518456808440883914797368482273099142592492378791787179272312502699625996247566750780409190775512057135672311319675374525014369368603<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 07:33:38 UTC 2022 年 3 月 7 日 (月) 16 時 33 分 38 秒 (日本時間)

32×10287+319

c237

composite cofactor 合成数の残り
116250078383107703857893519209847142742796203164022256902071109747723098831129629857322930049805739679430876371729603603873931068162369027366129829642752888775156305076608655284459533453232944042743748302064656452684621093688684934762997<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 20, 2022 11:10:17 UTC 2022 年 2 月 20 日 (日) 20 時 10 分 17 秒 (日本時間)

32×10289+319

c283

composite cofactor 合成数の残り
5537857773517780685499224985457498957714596704555824262798209963620254763262896801137794413502529425190957017449634092104646752426278263473863223600508493023086619519768395712195939376171051412658196478590460136622066317681253262901473705290819129982815162038497214379663795616221403<283>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 17:29:06 UTC 2022 年 3 月 11 日 (金) 2 時 29 分 6 秒 (日本時間)

32×10290+319

c238

composite cofactor 合成数の残り
3472830381335339304655409664670604157900691030625451463268474265362276434589174218915457009760875068263279040855188755232718078355204048565707895535539024119961735741965579864025956602285853580873822347321707621181028694602338012021935339<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 28, 2022 23:03:24 UTC 2022 年 3 月 1 日 (火) 8 時 3 分 24 秒 (日本時間)

32×10291+319

c281

composite cofactor 合成数の残り
18137306395876602870856769834329040218907995594641935263451835611468821544285949863055232820936264441082729017485253801379198457802987161122811607541727356574923256800195818787802733308554208702500939085050094441512607273345494561743130156666762205795296908725138979464608302589877<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 07:12:17 UTC 2022 年 3 月 10 日 (木) 16 時 12 分 17 秒 (日本時間)

32×10292+319

c290

composite cofactor 合成数の残り
84055686892566325190438665615970580509587601786183346467034410296821644339374835828736537956396112424481218807459942211715261360651431573417389020225899658523771998949303913842920935119516679800367743630154977672708169162069871289729445757814552140793275545048594693984764906750722353559233<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 11, 2022 02:23:17 UTC 2022 年 3 月 11 日 (金) 11 時 23 分 17 秒 (日本時間)

32×10293+319

c267

composite cofactor 合成数の残り
273314855201249782032208670950551472250689319941613458490356877227242349880672638459322047883756115384895740960765799341600971409841289201563463995229229467087177240286633454471323962710968572462982256213204756953139844429151107035407795755454943843129188036344647951<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62350iveliveJune 5, 2020 08:07:22 UTC 2020 年 6 月 5 日 (金) 17 時 7 分 22 秒 (日本時間)

32×10296+319

c297

composite cofactor 合成数の残り
355555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<297>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61000Serge BatalovApril 3, 2017 02:45:54 UTC 2017 年 4 月 3 日 (月) 11 時 45 分 54 秒 (日本時間)
4511e62000Dmitry DomanovApril 6, 2017 14:40:22 UTC 2017 年 4 月 6 日 (木) 23 時 40 分 22 秒 (日本時間)
5043e62400Dmitry DomanovApril 7, 2017 15:10:36 UTC 2017 年 4 月 8 日 (土) 0 時 10 分 36 秒 (日本時間)
5511e72000 / 16779Dmitry DomanovApril 21, 2017 20:25:03 UTC 2017 年 4 月 22 日 (土) 5 時 25 分 3 秒 (日本時間)

32×10299+319

c248

composite cofactor 合成数の残り
13489989620240414744856227553721426678131554802316815934413950170858724875246387021312411598021901658204520807094050581770418208346121785649841486551372667032221572229385736953523015360613924876624099677429497061487684626470896130761268036087884901<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e62350iveliveJune 5, 2020 03:44:02 UTC 2020 年 6 月 5 日 (金) 12 時 44 分 2 秒 (日本時間)

32×10300+319

c275

composite cofactor 合成数の残り
16196064746136266725579436026544488246861570095176171155647443349166197024202853796722778519081917894280050659629388584689036636439914616093067339506252548480246297501691025841152276686635262497022338922069138758871372188700604291677282538116961796573641099235064948814757359<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 2, 2017 07:00:00 UTC 2017 年 4 月 2 日 (日) 16 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 6, 2017 10:26:57 UTC 2017 年 4 月 6 日 (木) 19 時 26 分 57 秒 (日本時間)
4511e62000Dmitry DomanovApril 11, 2017 14:00:37 UTC 2017 年 4 月 11 日 (火) 23 時 0 分 37 秒 (日本時間)
5043e6640 / 7054Dmitry DomanovApril 19, 2017 18:47:35 UTC 2017 年 4 月 20 日 (木) 3 時 47 分 35 秒 (日本時間)