Table of contents 目次

25×10101-619

c90

name 名前Serge Batalov
date 日付September 1, 2008 21:45:17 UTC 2008 年 9 月 2 日 (火) 6 時 45 分 17 秒 (日本時間)
composite number 合成数
130226373959037120408897782242685193121360604141675290599021813285783982746449324201474759<90>
prime factors 素因数
1220440232504536752439016607144455724019<40>
106704425575836651096236897680730256801192448458461<51>
factorization results 素因数分解の結果
Number: 27771_101
N=130226373959037120408897782242685193121360604141675290599021813285783982746449324201474759
  ( 90 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=1220440232504536752439016607144455724019
 r2=106704425575836651096236897680730256801192448458461
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.944).
Factorization parameters were as follows:
n: 130226373959037120408897782242685193121360604141675290599021813285783982746449324201474759
Y1: 1
Y0: -100000000000000000000
c5: 250
c0: -61
skew: 0.75
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 285001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 42339 x 42554
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,102,5,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.30 hours.
software ソフトウェア
Msieve-1.37 snfs
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10117-619

c85

name 名前Serge Batalov
date 日付September 1, 2008 21:22:10 UTC 2008 年 9 月 2 日 (火) 6 時 22 分 10 秒 (日本時間)
composite number 合成数
7373315825985276969439340659001240598496120288389807384293268160113990464333518578797<85>
prime factors 素因数
619747506717711772232144970127654889620759<42>
11897290019020184431574871639392025782656283<44>
factorization results 素因数分解の結果
Mon Sep  1 11:02:19 2008  Msieve v. 1.37
Mon Sep  1 11:02:19 2008  random seeds: 714daeb2 a296f0bc
Mon Sep  1 11:02:19 2008  factoring 7373315825985276969439340659001240598496120288389807384293268160113990464333518578797 (85 digits)
Mon Sep  1 11:02:20 2008  no P-1/P+1/ECM available, skipping
Mon Sep  1 11:02:20 2008  commencing quadratic sieve (85-digit input)
Mon Sep  1 11:02:20 2008  using multiplier of 2
Mon Sep  1 11:02:20 2008  using 64kb Opteron sieve core
Mon Sep  1 11:02:20 2008  sieve interval: 6 blocks of size 65536
Mon Sep  1 11:02:20 2008  processing polynomials in batches of 17
Mon Sep  1 11:02:20 2008  using a sieve bound of 1434241 (54705 primes)
Mon Sep  1 11:02:20 2008  using large prime bound of 116173521 (26 bits)
Mon Sep  1 11:02:20 2008  using double large prime bound of 328997602795950 (41-49 bits)
Mon Sep  1 11:02:20 2008  using trial factoring cutoff of 49 bits
Mon Sep  1 11:02:20 2008  polynomial 'A' values have 11 factors
Mon Sep  1 11:31:50 2008  54866 relations (16358 full + 38508 combined from 570198 partial), need 54801
Mon Sep  1 11:31:50 2008  begin with 586556 relations
Mon Sep  1 11:31:51 2008  reduce to 128079 relations in 8 passes
Mon Sep  1 11:31:51 2008  attempting to read 128079 relations
Mon Sep  1 11:31:51 2008  recovered 128079 relations
Mon Sep  1 11:31:51 2008  recovered 107644 polynomials
Mon Sep  1 11:31:52 2008  attempting to build 54866 cycles
Mon Sep  1 11:31:52 2008  found 54866 cycles in 5 passes
Mon Sep  1 11:31:52 2008  distribution of cycle lengths:
Mon Sep  1 11:31:52 2008     length 1 : 16358
Mon Sep  1 11:31:52 2008     length 2 : 11052
Mon Sep  1 11:31:52 2008     length 3 : 9697
Mon Sep  1 11:31:52 2008     length 4 : 7070
Mon Sep  1 11:31:52 2008     length 5 : 4547
Mon Sep  1 11:31:52 2008     length 6 : 2753
Mon Sep  1 11:31:52 2008     length 7 : 1601
Mon Sep  1 11:31:52 2008     length 9+: 1788
Mon Sep  1 11:31:52 2008  largest cycle: 18 relations
Mon Sep  1 11:31:52 2008  matrix is 54705 x 54866 (12.5 MB) with weight 2844525 (51.84/col)
Mon Sep  1 11:31:52 2008  sparse part has weight 2844525 (51.84/col)
Mon Sep  1 11:31:52 2008  filtering completed in 4 passes
Mon Sep  1 11:31:52 2008  matrix is 49391 x 49455 (11.4 MB) with weight 2593007 (52.43/col)
Mon Sep  1 11:31:52 2008  sparse part has weight 2593007 (52.43/col)
Mon Sep  1 11:31:52 2008  saving the first 48 matrix rows for later
Mon Sep  1 11:31:52 2008  matrix is 49343 x 49455 (6.7 MB) with weight 1918802 (38.80/col)
Mon Sep  1 11:31:52 2008  sparse part has weight 1248764 (25.25/col)
Mon Sep  1 11:31:52 2008  matrix includes 64 packed rows
Mon Sep  1 11:31:52 2008  using block size 19782 for processor cache size 1024 kB
Mon Sep  1 11:31:53 2008  commencing Lanczos iteration
Mon Sep  1 11:31:53 2008  memory use: 6.4 MB
Mon Sep  1 11:32:03 2008  lanczos halted after 781 iterations (dim = 49337)
Mon Sep  1 11:32:03 2008  recovered 14 nontrivial dependencies
Mon Sep  1 11:32:04 2008  prp42 factor: 619747506717711772232144970127654889620759
Mon Sep  1 11:32:04 2008  prp44 factor: 11897290019020184431574871639392025782656283
Mon Sep  1 11:32:04 2008  elapsed time 00:29:45
software ソフトウェア
Msieve v. 1.37/QS
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10120-619

c108

name 名前Sinkiti Sibata
date 日付September 2, 2008 04:49:06 UTC 2008 年 9 月 2 日 (火) 13 時 49 分 6 秒 (日本時間)
composite number 合成数
188363537892731304918189934923172037561952148759302117343469768319278002963865656881762961384765891041749099<108>
prime factors 素因数
2077909526098467227127095357094899<34>
90650500191125839001849566503209300133757025311439466547532183753689765801<74>
factorization results 素因数分解の結果
Number: 27771_120
N=188363537892731304918189934923172037561952148759302117343469768319278002963865656881762961384765891041749099
  ( 108 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=2077909526098467227127095357094899 (pp34)
 r2=90650500191125839001849566503209300133757025311439466547532183753689765801 (pp74)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.05 hours.
Scaled time: 0.97 units (timescale=0.473).
Factorization parameters were as follows:
name: 27771_120
n: 188363537892731304918189934923172037561952148759302117343469768319278002963865656881762961384765891041749099
m: 1000000000000000000000000
c5: 25
c0: -61
skew: 1.2
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:63799, largePrimes:2043190 encountered
Relations: rels:2063781, finalFF:182037
Max relations in full relation-set: 28
Initial matrix: 112961 x 182037 with sparse part having weight 14502213.
Pruned matrix : 92717 x 93345 with weight 4989049.
Total sieving time: 1.87 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.05 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10121-619

c116

name 名前Sinkiti Sibata
date 日付September 2, 2008 03:15:56 UTC 2008 年 9 月 2 日 (火) 12 時 15 分 56 秒 (日本時間)
composite number 合成数
26653864282574460501798442838602429147898348132091860304325293141864766182174044829454183233376011500822591559488813<116>
prime factors 素因数
151751901518049889837708613154968992021300406120197<51>
175641056329064573758109081077588831777126235148165732731308152329<66>
factorization results 素因数分解の結果
Number: 27771_121
N=26653864282574460501798442838602429147898348132091860304325293141864766182174044829454183233376011500822591559488813
  ( 116 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=151751901518049889837708613154968992021300406120197 (pp51)
 r2=175641056329064573758109081077588831777126235148165732731308152329 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.43 hours.
Scaled time: 1.90 units (timescale=0.781).
Factorization parameters were as follows:
name: 27771_121
n: 26653864282574460501798442838602429147898348132091860304325293141864766182174044829454183233376011500822591559488813
m: 1000000000000000000000000
c5: 250
c0: -61
skew: 0.75
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:64054, largePrimes:2215166 encountered
Relations: rels:2352484, finalFF:253562
Max relations in full relation-set: 28
Initial matrix: 113218 x 253562 with sparse part having weight 24450133.
Pruned matrix : 87484 x 88114 with weight 6169356.
Total sieving time: 2.31 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.43 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10124-619

c93

name 名前Sinkiti Sibata
date 日付September 2, 2008 02:26:36 UTC 2008 年 9 月 2 日 (火) 11 時 26 分 36 秒 (日本時間)
composite number 合成数
811639523541624539168288130012973035685928492625001245552066565976534250127979479486173118937<93>
prime factors 素因数
70362686316521436307034813012932569418787<41>
11535084375410612732158710144999540847723947258858451<53>
factorization results 素因数分解の結果
Msieve v. 1.36
Tue Sep  2 06:30:15 2008
random seeds: fac47258 aa7b8a3d
factoring 8116395235416245391682881300129730356859284926250012455520665659765342
50127979479486173118937 (93 digits)
no P-1/P+1/ECM available, skipping
commencing quadratic sieve (93-digit input)
using multiplier of 57
using 64kb Pentium 4 sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 1956883 (72856 primes)
using large prime bound of 244610375 (27 bits)
using double large prime bound of 1256766767596625 (42-51 bits)
using trial factoring cutoff of 51 bits
polynomial 'A' values have 12 factors

sieving in progress (press Ctrl-C to pause)
73048 relations (18356 full + 54692 combined from 993590 partial), need 72952
73048 relations (18356 full + 54692 combined from 993590 partial), need 72952
sieving complete, commencing postprocessing
begin with 1011946 relations
reduce to 187410 relations in 10 passes
attempting to read 187410 relations
recovered 187410 relations
recovered 170694 polynomials
attempting to build 73048 cycles
found 73048 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 18356
   length 2 : 12889
   length 3 : 12517
   length 4 : 9860
   length 5 : 7391
   length 6 : 4737
   length 7 : 3122
   length 9+: 4176
largest cycle: 23 relations
matrix is 72856 x 73048 (19.3 MB) with weight 4773964 (65.35/col)
sparse part has weight 4773964 (65.35/col)
filtering completed in 3 passes
matrix is 69230 x 69294 (18.5 MB) with weight 4561561 (65.83/col)
sparse part has weight 4561561 (65.83/col)
saving the first 48 matrix rows for later
matrix is 69182 x 69294 (11.9 MB) with weight 3618831 (52.22/col)
sparse part has weight 2700647 (38.97/col)
matrix includes 64 packed rows
using block size 21845 for processor cache size 512 kB
commencing Lanczos iteration
memory use: 11.2 MB
linear algebra completed 64229 out of 69294 dimensions (92.7%)
lanczos halted after 1096 iterations (dim = 69181)
recovered 18 nontrivial dependencies
prp41 factor: 70362686316521436307034813012932569418787
prp53 factor: 11535084375410612732158710144999540847723947258858451
elapsed time 04:50:14

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10129-619

c109

name 名前Sinkiti Sibata
date 日付September 2, 2008 01:20:11 UTC 2008 年 9 月 2 日 (火) 10 時 20 分 11 秒 (日本時間)
composite number 合成数
3880699991576011953128227159099334239837445535573922171440035776758693606702134517293709663755165267331753413<109>
prime factors 素因数
20453259670836204190673329947267817129<38>
189735037545599924396551452154414396763586188577807393187978065955851197<72>
factorization results 素因数分解の結果
Number: 27771_129
N=3880699991576011953128227159099334239837445535573922171440035776758693606702134517293709663755165267331753413
  ( 109 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=20453259670836204190673329947267817129 (pp38)
 r2=189735037545599924396551452154414396763586188577807393187978065955851197 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.11 hours.
Scaled time: 4.01 units (timescale=0.785).
Factorization parameters were as follows:
name: 27771_129
n: 3880699991576011953128227159099334239837445535573922171440035776758693606702134517293709663755165267331753413
m: 100000000000000000000000000
c5: 5
c0: -122
skew: 1.89
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1050001)
Primes: RFBsize:63951, AFBsize:63784, largePrimes:1545512 encountered
Relations: rels:1563329, finalFF:183787
Max relations in full relation-set: 28
Initial matrix: 127800 x 183787 with sparse part having weight 14621739.
Pruned matrix : 113248 x 113951 with weight 7290682.
Total sieving time: 4.97 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.11 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10130-619

c117

name 名前Sinkiti Sibata
date 日付September 2, 2008 19:59:56 UTC 2008 年 9 月 3 日 (水) 4 時 59 分 56 秒 (日本時間)
composite number 合成数
158288910077417795908138195479665635472032771658895991675636236713434628266715780232941527665528194251098524510734201<117>
prime factors 素因数
72325146532934744296452924098623296259<38>
2188573651977845386131277387482593882061834489364029224669677420951255801033939<79>
factorization results 素因数分解の結果
Number: 27771_130
N=158288910077417795908138195479665635472032771658895991675636236713434628266715780232941527665528194251098524510734201
  ( 117 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=72325146532934744296452924098623296259 (pp38)
 r2=2188573651977845386131277387482593882061834489364029224669677420951255801033939 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.74 hours.
Scaled time: 2.93 units (timescale=0.783).
Factorization parameters were as follows:
name: 27771_130
n: 158288910077417795908138195479665635472032771658895991675636236713434628266715780232941527665528194251098524510734201
m: 100000000000000000000000000
c5: 25
c0: -61
skew: 1.2
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 850001)
Primes: RFBsize:63951, AFBsize:63799, largePrimes:1454614 encountered
Relations: rels:1449393, finalFF:168881
Max relations in full relation-set: 28
Initial matrix: 127814 x 168881 with sparse part having weight 10444584.
Pruned matrix : 114673 x 115376 with weight 5503834.
Total sieving time: 3.62 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.74 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10134-619

c93

name 名前Serge Batalov
date 日付September 1, 2008 21:20:09 UTC 2008 年 9 月 2 日 (火) 6 時 20 分 9 秒 (日本時間)
composite number 合成数
372604760090404334748669246936986927822050971487117589245170278954091582540355072904735504149<93>
prime factors 素因数
2285341270841103220316892131357527<34>
163041189884638045718398236420560827643537175317697019375987<60>
factorization results 素因数分解の結果
Mon Sep  1 10:51:50 2008  Msieve v. 1.36
Mon Sep  1 10:51:50 2008  random seeds: 6c6c726c 4abd9356
Mon Sep  1 10:51:50 2008  factoring 372604760090404334748669246936986927822050971487117589245170278954091582540355072904735504149 (93 digits)
Mon Sep  1 10:51:50 2008  no P-1/P+1/ECM available, skipping
Mon Sep  1 10:51:50 2008  commencing quadratic sieve (93-digit input)
Mon Sep  1 10:51:51 2008  using multiplier of 1
Mon Sep  1 10:51:51 2008  using 64kb Opteron sieve core
Mon Sep  1 10:51:51 2008  sieve interval: 18 blocks of size 65536
Mon Sep  1 10:51:51 2008  processing polynomials in batches of 6
Mon Sep  1 10:51:51 2008  using a sieve bound of 1923133 (71747 primes)
Mon Sep  1 10:51:51 2008  using large prime bound of 232699093 (27 bits)
Mon Sep  1 10:51:51 2008  using double large prime bound of 1148762820023984 (42-51 bits)
Mon Sep  1 10:51:51 2008  using trial factoring cutoff of 51 bits
Mon Sep  1 10:51:51 2008  polynomial 'A' values have 12 factors
Mon Sep  1 13:09:44 2008  72146 relations (17299 full + 54847 combined from 977711 partial), need 71843
Mon Sep  1 13:09:45 2008  begin with 995010 relations
Mon Sep  1 13:09:45 2008  reduce to 187321 relations in 9 passes
Mon Sep  1 13:09:45 2008  attempting to read 187321 relations
Mon Sep  1 13:09:47 2008  recovered 187321 relations
Mon Sep  1 13:09:47 2008  recovered 171042 polynomials
Mon Sep  1 13:09:47 2008  attempting to build 72146 cycles
Mon Sep  1 13:09:47 2008  found 72146 cycles in 6 passes
Mon Sep  1 13:09:47 2008  distribution of cycle lengths:
Mon Sep  1 13:09:47 2008     length 1 : 17299
Mon Sep  1 13:09:47 2008     length 2 : 12778
Mon Sep  1 13:09:47 2008     length 3 : 12307
Mon Sep  1 13:09:47 2008     length 4 : 9774
Mon Sep  1 13:09:47 2008     length 5 : 7552
Mon Sep  1 13:09:47 2008     length 6 : 4913
Mon Sep  1 13:09:47 2008     length 7 : 3199
Mon Sep  1 13:09:47 2008     length 9+: 4324
Mon Sep  1 13:09:47 2008  largest cycle: 20 relations
Mon Sep  1 13:09:47 2008  matrix is 71747 x 72146 (18.8 MB) with weight 4351494 (60.32/col)
Mon Sep  1 13:09:47 2008  sparse part has weight 4351494 (60.32/col)
Mon Sep  1 13:09:48 2008  filtering completed in 3 passes
Mon Sep  1 13:09:48 2008  matrix is 68402 x 68465 (17.9 MB) with weight 4139994 (60.47/col)
Mon Sep  1 13:09:48 2008  sparse part has weight 4139994 (60.47/col)
Mon Sep  1 13:09:48 2008  saving the first 48 matrix rows for later
Mon Sep  1 13:09:48 2008  matrix is 68354 x 68465 (10.6 MB) with weight 3144332 (45.93/col)
Mon Sep  1 13:09:48 2008  sparse part has weight 2085056 (30.45/col)
Mon Sep  1 13:09:48 2008  matrix includes 64 packed rows
Mon Sep  1 13:09:48 2008  using block size 27386 for processor cache size 1024 kB
Mon Sep  1 13:09:48 2008  commencing Lanczos iteration
Mon Sep  1 13:09:48 2008  memory use: 10.0 MB
Mon Sep  1 13:10:13 2008  lanczos halted after 1082 iterations (dim = 68350)
Mon Sep  1 13:10:13 2008  recovered 13 nontrivial dependencies
Mon Sep  1 13:10:14 2008  prp34 factor: 2285341270841103220316892131357527
Mon Sep  1 13:10:14 2008  prp60 factor: 163041189884638045718398236420560827643537175317697019375987
Mon Sep  1 13:10:14 2008  elapsed time 02:18:24
software ソフトウェア
Msieve v. 1.36/QS
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10136-619

c136

name 名前Serge Batalov
date 日付September 2, 2008 03:10:13 UTC 2008 年 9 月 2 日 (火) 12 時 10 分 13 秒 (日本時間)
composite number 合成数
9259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257<136>
prime factors 素因数
1901077818633176986641273760618004825731<40>
4870531426176132915928552436849317829157610124238343115163233836263288860176292922476799468932947<97>
factorization results 素因数分解の結果
Number: 27771_136
N=9259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257
  ( 136 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=1901077818633176986641273760618004825731
 r2=4870531426176132915928552436849317829157610124238343115163233836263288860176292922476799468932947
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.291).
Factorization parameters were as follows:
n: 9259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257
Y1: 1
Y0: -1000000000000000000000000000
c5: 250
c0: -61
skew: 0.75
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1850001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 154199 x 154447
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,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.10 hours.
software ソフトウェア
Msieve-1.37 snfs
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10139-619

c128

name 名前Sinkiti Sibata
date 日付September 2, 2008 12:24:16 UTC 2008 年 9 月 2 日 (火) 21 時 24 分 16 秒 (日本時間)
composite number 合成数
16516916640508643948357831885991140837451264045925620296168380208470962412813488436668742365820180095732542134692365768398006171<128>
prime factors 素因数
6190455589244173649468957716997216405600058094976893<52>
2668126182700760482119033930880089627186177930718096494876239686787844595447<76>
factorization results 素因数分解の結果
Number: 27771_139
N=16516916640508643948357831885991140837451264045925620296168380208470962412813488436668742365820180095732542134692365768398006171
  ( 128 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=6190455589244173649468957716997216405600058094976893 (pp52)
 r2=2668126182700760482119033930880089627186177930718096494876239686787844595447 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.63 hours.
Scaled time: 13.07 units (timescale=0.786).
Factorization parameters were as follows:
name: 27771_139
n: 16516916640508643948357831885991140837451264045925620296168380208470962412813488436668742365820180095732542134692365768398006171
m: 10000000000000000000000000000
c5: 5
c0: -122
skew: 1.89
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1950001)
Primes: RFBsize:100021, AFBsize:99699, largePrimes:2732880 encountered
Relations: rels:2707703, finalFF:256474
Max relations in full relation-set: 28
Initial matrix: 199785 x 256474 with sparse part having weight 24432411.
Pruned matrix : 182795 x 183857 with weight 15345607.
Total sieving time: 16.20 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 16.63 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10142-619

c113

name 名前Sinkiti Sibata
date 日付September 2, 2008 08:03:05 UTC 2008 年 9 月 2 日 (火) 17 時 3 分 5 秒 (日本時間)
composite number 合成数
22230767278105423457838826207878695530231315713506366491222875197108426865608784560893162769503742321415017381147<113>
prime factors 素因数
2901173421641272627502030357866773367220862841<46>
7662681283468009442196894266756698463559266727460022585926879778867<67>
factorization results 素因数分解の結果
Number: 27771_142
N=22230767278105423457838826207878695530231315713506366491222875197108426865608784560893162769503742321415017381147
  ( 113 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=2901173421641272627502030357866773367220862841 (pp46)
 r2=7662681283468009442196894266756698463559266727460022585926879778867 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.27 hours.
Scaled time: 16.45 units (timescale=1.011).
Factorization parameters were as follows:
name: 27771_142
n: 22230767278105423457838826207878695530231315713506366491222875197108426865608784560893162769503742321415017381147
m: 50000000000000000000000000000
c5: 4
c0: -305
skew: 2.38
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2350001)
Primes: RFBsize:100021, AFBsize:99834, largePrimes:3010808 encountered
Relations: rels:3140551, finalFF:366900
Max relations in full relation-set: 28
Initial matrix: 199919 x 366900 with sparse part having weight 41430559.
Pruned matrix : 163905 x 164968 with weight 19507651.
Total sieving time: 15.88 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 16.27 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10143-619

c112

name 名前Sinkiti Sibata
date 日付September 2, 2008 02:57:26 UTC 2008 年 9 月 2 日 (火) 11 時 57 分 26 秒 (日本時間)
composite number 合成数
1058340406055840797247159275511465608167592959514093349104328096492970348022598919601596788146797957174561417149<112>
prime factors 素因数
1309143485309777583241846470683317<34>
484378549302141911629687706665230167387<39>
1668988046339800108673532942790290417931<40>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 1058340406055840797247159275511465608167592959514093349104328096492970348022598919601596788146797957174561417149

Run 100 out of 904:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2624782773
Step 1 took 11606ms
Step 2 took 5928ms
********** Factor found in step 2: 1309143485309777583241846470683317
Found probable prime factor of 34 digits: 1309143485309777583241846470683317
Composite cofactor 808422008688688376397533217076481426744848381871723328550796245844581316216297 has 78 digits

Tue Sep  2 11:39:26 2008  Msieve v. 1.36
Tue Sep  2 11:39:26 2008  random seeds: 5ccc56ec cd254687
Tue Sep  2 11:39:26 2008  factoring 808422008688688376397533217076481426744848381871723328550796245844581316216297 (78 digits)
Tue Sep  2 11:39:27 2008  no P-1/P+1/ECM available, skipping
Tue Sep  2 11:39:27 2008  commencing quadratic sieve (78-digit input)
Tue Sep  2 11:39:27 2008  using multiplier of 5
Tue Sep  2 11:39:27 2008  using 32kb Intel Core sieve core
Tue Sep  2 11:39:27 2008  sieve interval: 12 blocks of size 32768
Tue Sep  2 11:39:27 2008  processing polynomials in batches of 17
Tue Sep  2 11:39:27 2008  using a sieve bound of 1032511 (40529 primes)
Tue Sep  2 11:39:27 2008  using large prime bound of 103251100 (26 bits)
Tue Sep  2 11:39:27 2008  using trial factoring cutoff of 27 bits
Tue Sep  2 11:39:27 2008  polynomial 'A' values have 10 factors
Tue Sep  2 11:46:12 2008  40779 relations (20784 full + 19995 combined from 222822 partial), need 40625
Tue Sep  2 11:46:12 2008  begin with 243606 relations
Tue Sep  2 11:46:12 2008  reduce to 58257 relations in 2 passes
Tue Sep  2 11:46:12 2008  attempting to read 58257 relations
Tue Sep  2 11:46:12 2008  recovered 58257 relations
Tue Sep  2 11:46:12 2008  recovered 47947 polynomials
Tue Sep  2 11:46:13 2008  attempting to build 40779 cycles
Tue Sep  2 11:46:13 2008  found 40779 cycles in 1 passes
Tue Sep  2 11:46:13 2008  distribution of cycle lengths:
Tue Sep  2 11:46:13 2008     length 1 : 20784
Tue Sep  2 11:46:13 2008     length 2 : 19995
Tue Sep  2 11:46:13 2008  largest cycle: 2 relations
Tue Sep  2 11:46:13 2008  matrix is 40529 x 40779 (5.3 MB) with weight 1219217 (29.90/col)
Tue Sep  2 11:46:13 2008  sparse part has weight 1219217 (29.90/col)
Tue Sep  2 11:46:13 2008  filtering completed in 3 passes
Tue Sep  2 11:46:13 2008  matrix is 29746 x 29810 (4.1 MB) with weight 967944 (32.47/col)
Tue Sep  2 11:46:13 2008  sparse part has weight 967944 (32.47/col)
Tue Sep  2 11:46:13 2008  saving the first 48 matrix rows for later
Tue Sep  2 11:46:13 2008  matrix is 29698 x 29810 (2.3 MB) with weight 682503 (22.90/col)
Tue Sep  2 11:46:13 2008  sparse part has weight 436808 (14.65/col)
Tue Sep  2 11:46:13 2008  matrix includes 64 packed rows
Tue Sep  2 11:46:13 2008  commencing Lanczos iteration
Tue Sep  2 11:46:13 2008  memory use: 3.5 MB
Tue Sep  2 11:46:25 2008  lanczos halted after 471 iterations (dim = 29698)
Tue Sep  2 11:46:25 2008  recovered 18 nontrivial dependencies
Tue Sep  2 11:46:25 2008  prp39 factor: 484378549302141911629687706665230167387
Tue Sep  2 11:46:25 2008  prp40 factor: 1668988046339800108673532942790290417931
Tue Sep  2 11:46:25 2008  elapsed time 00:06:59

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10145-619

c144

name 名前Serge Batalov
date 日付September 2, 2008 03:06:30 UTC 2008 年 9 月 2 日 (火) 12 時 6 分 30 秒 (日本時間)
composite number 合成数
188964474678760393046107331821617535903250188964474678760393046107331821617535903250188964474678760393046107331821617535903250188964474678760393<144>
prime factors 素因数
9828296418549422058299450666557398619289<40>
87046340760163089105257888142997578027021705923<47>
220877459896081835011433334820685258323697425657910538619<57>
factorization results 素因数分解の結果
Number: 27771_145
N=188964474678760393046107331821617535903250188964474678760393046107331821617535903250188964474678760393046107331821617535903250188964474678760393
  ( 144 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=9828296418549422058299450666557398619289
 r2=87046340760163089105257888142997578027021705923
 r3=220877459896081835011433334820685258323697425657910538619
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.731).
Factorization parameters were as follows:
n: 188964474678760393046107331821617535903250188964474678760393046107331821617535903250188964474678760393046107331821617535903250188964474678760393
Y1: 1
Y0: -100000000000000000000000000000
c5: 25
c0: -61
skew: 1.2
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [750000, 1950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 224466 x 224712
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,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 5.00 hours.
software ソフトウェア
Msieve-1.37 snfs
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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10147-619

c132

name 名前Sinkiti Sibata
date 日付September 2, 2008 01:34:09 UTC 2008 年 9 月 2 日 (火) 10 時 34 分 9 秒 (日本時間)
composite number 合成数
182167207812755629686046229168270893227835379964737052055815747768780391916854905259389815243129008035784843900450078564467304547383<132>
prime factors 素因数
9229490189668026616203266998176737<34>
19737515731549627398346041144166461110062712518326895924348032317964415590287193972630324247892759<98>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 182167207812755629686046229168270893227835379964737052055815747768780391916854905259389815243129008035784843900450078564467304547383

Run 334 out of 904:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4055225039
Step 1 took 14680ms
Step 2 took 6957ms
********** Factor found in step 2: 9229490189668026616203266998176737
Found probable prime factor of 34 digits: 9229490189668026616203266998176737
Probable prime cofactor 19737515731549627398346041144166461110062712518326895924348032317964415590287193972630324247892759 has 98 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10149-619

c135

name 名前Sinkiti Sibata
date 日付September 2, 2008 19:48:48 UTC 2008 年 9 月 3 日 (水) 4 時 48 分 48 秒 (日本時間)
composite number 合成数
354585323001884776628629511894083866932645350523269087652602074338492850583139742796679407422397312103865993638601297787473881576436829<135>
prime factors 素因数
470636525232146442959347571682077326597<39>
753416498702436697593695957452689801144133736876627078063382917767291118360831661478156933806457<96>
factorization results 素因数分解の結果
Number: 27771_149
N=354585323001884776628629511894083866932645350523269087652602074338492850583139742796679407422397312103865993638601297787473881576436829
  ( 135 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=470636525232146442959347571682077326597 (pp39)
 r2=753416498702436697593695957452689801144133736876627078063382917767291118360831661478156933806457 (pp96)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 29.16 hours.
Scaled time: 29.54 units (timescale=1.013).
Factorization parameters were as follows:
name: 27771_149
n: 354585323001884776628629511894083866932645350523269087652602074338492850583139742796679407422397312103865993638601297787473881576436829
m: 1000000000000000000000000000000
c5: 5
c0: -122
skew: 1.89
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:175719, largePrimes:5507544 encountered
Relations: rels:5398019, finalFF:462635
Max relations in full relation-set: 28
Initial matrix: 352086 x 462635 with sparse part having weight 40929944.
Pruned matrix : 302640 x 304464 with weight 23597003.
Total sieving time: 28.49 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 29.16 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10152-619

c132

name 名前Sinkiti Sibata
date 日付September 3, 2008 14:29:18 UTC 2008 年 9 月 3 日 (水) 23 時 29 分 18 秒 (日本時間)
composite number 合成数
172532650636111904860054938051259144514788546119627239692446419141078903561074468627544423576489365555172803898817679618101016804921<132>
prime factors 素因数
1649194932995458194552098353071508753<37>
40462912832676719001557694003003432413533<41>
2585485814085485481752663875511265877142630193494391229<55>
factorization results 素因数分解の結果
Number: 27771_152
N=172532650636111904860054938051259144514788546119627239692446419141078903561074468627544423576489365555172803898817679618101016804921
  ( 132 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=1649194932995458194552098353071508753 (pp37)
 r2=40462912832676719001557694003003432413533 (pp41)
 r3=2585485814085485481752663875511265877142630193494391229 (pp55)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 30.42 hours.
Scaled time: 23.91 units (timescale=0.786).
Factorization parameters were as follows:
name: 27771_152
n: 172532650636111904860054938051259144514788546119627239692446419141078903561074468627544423576489365555172803898817679618101016804921
m: 5000000000000000000000000000000
c5: 4
c0: -305
skew: 2.38
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2300001)
Primes: RFBsize:176302, AFBsize:175969, largePrimes:5737118 encountered
Relations: rels:5759844, finalFF:564149
Max relations in full relation-set: 28
Initial matrix: 352335 x 564149 with sparse part having weight 53178188.
Pruned matrix : 277777 x 279602 with weight 28211723.
Total sieving time: 29.27 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 30.42 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10153-619

c154

name 名前Serge Batalov
date 日付September 2, 2008 16:23:35 UTC 2008 年 9 月 3 日 (水) 1 時 23 分 35 秒 (日本時間)
composite number 合成数
2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<154>
prime factors 素因数
109597476817915399648783767470638342286678753105441<51>
25345271245548484326118620469718080997667197757537826608184756610171014468393711341782508146039235365131<104>
factorization results 素因数分解の結果
Number: 27771_153
N=2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
  ( 154 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=109597476817915399648783767470638342286678753105441
 r2=25345271245548484326118620469718080997667197757537826608184756610171014468393711341782508146039235365131
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.716).
Factorization parameters were as follows:
n: 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
Y1: 1
Y0: -5000000000000000000000000000000
c5: 8
c0: -61
skew: 1.5
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1200000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 472490 x 472732
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,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,52,52,2.5,2.5,100000
total time: 11.50 hours.
software ソフトウェア
Msieve 1.37
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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10154-619

c122

name 名前Sinkiti Sibata
date 日付September 3, 2008 07:33:57 UTC 2008 年 9 月 3 日 (水) 16 時 33 分 57 秒 (日本時間)
composite number 合成数
24158384001018243165313643924362406754822830761328446656124480605992670616305009456597905435143480920734912217227845152317<122>
prime factors 素因数
5301064110976528276021825235523818767679<40>
4557270671561061255123982087138571971565022174347192982395270017827900110497448323<82>
factorization results 素因数分解の結果
Number: 27771_154
N=24158384001018243165313643924362406754822830761328446656124480605992670616305009456597905435143480920734912217227845152317
  ( 122 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=5301064110976528276021825235523818767679 (pp40)
 r2=4557270671561061255123982087138571971565022174347192982395270017827900110497448323 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 32.40 hours.
Scaled time: 32.60 units (timescale=1.006).
Factorization parameters were as follows:
name: 27771_154
n: 24158384001018243165313643924362406754822830761328446656124480605992670616305009456597905435143480920734912217227845152317
m: 10000000000000000000000000000000
c5: 5
c0: -122
skew: 1.89
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2800001)
Primes: RFBsize:216816, AFBsize:216067, largePrimes:6039660 encountered
Relations: rels:6273316, finalFF:769405
Max relations in full relation-set: 28
Initial matrix: 432948 x 769405 with sparse part having weight 68934654.
Pruned matrix : 305773 x 308001 with weight 39508435.
Total sieving time: 31.36 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.88 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 32.40 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10157-619

c127

name 名前Sinkiti Sibata
date 日付September 3, 2008 20:54:41 UTC 2008 年 9 月 4 日 (木) 5 時 54 分 41 秒 (日本時間)
composite number 合成数
1236602598420845392465064144285320486196111595543875173246683943577905648456176531599471021910006680459702992441135973992261273<127>
prime factors 素因数
251111527431617622010853018800610054904163<42>
4924515457609151256111451286897140203112085825934235152907008026879826815789247413971<85>
factorization results 素因数分解の結果
Number: 27771_157
N=1236602598420845392465064144285320486196111595543875173246683943577905648456176531599471021910006680459702992441135973992261273
  ( 127 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=251111527431617622010853018800610054904163 (pp42)
 r2=4924515457609151256111451286897140203112085825934235152907008026879826815789247413971 (pp85)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 43.89 hours.
Scaled time: 44.02 units (timescale=1.003).
Factorization parameters were as follows:
name: 27771_157
n: 1236602598420845392465064144285320486196111595543875173246683943577905648456176531599471021910006680459702992441135973992261273
m: 50000000000000000000000000000000
c5: 4
c0: -305
skew: 2.38
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3700001)
Primes: RFBsize:283146, AFBsize:282638, largePrimes:6156179 encountered
Relations: rels:6587926, finalFF:1001963
Max relations in full relation-set: 28
Initial matrix: 565848 x 1001963 with sparse part having weight 66147813.
Pruned matrix : 326559 x 329452 with weight 53505394.
Total sieving time: 42.50 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.22 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 43.89 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10159-619

c130

name 名前Serge Batalov
date 日付September 2, 2008 06:47:14 UTC 2008 年 9 月 2 日 (火) 15 時 47 分 14 秒 (日本時間)
composite number 合成数
6801738906313097876321071530318925677145892816770339831482330442223968792790096629545748052182195909549545385477539183240234514249<130>
prime factors 素因数
40938435274311943365251489605994903<35>
166145551502820974033100434453141488073658394935290823556214125540250731272635492119584942449183<96>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=232563863
Step 1 took 4581ms
Step 2 took 3756ms
********** Factor found in step 2: 40938435274311943365251489605994903
Found probable prime factor of 35 digits: 40938435274311943365251489605994903
Probable prime cofactor 166145551502820974033100434453141488073658394935290823556214125540250731272635492119584942449183 has 96 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10161-619

c133

name 名前Robert Backstrom
date 日付September 4, 2008 06:08:26 UTC 2008 年 9 月 4 日 (木) 15 時 8 分 26 秒 (日本時間)
composite number 合成数
1211810328045179737137835843378066173006313450989972138219571769921632974435429855162342174929531805158519800996508886585732210697013<133>
prime factors 素因数
253653749852508153250333883090711675749451709540031375104589078333<66>
4777419331469809285428949137256054363568169465244600000364285743961<67>
factorization results 素因数分解の結果
Number: n
N=1211810328045179737137835843378066173006313450989972138219571769921632974435429855162342174929531805158519800996508886585732210697013
  ( 133 digits)
SNFS difficulty: 162 digits.
Divisors found:

Thu Sep  4 16:02:43 2008  prp66 factor: 253653749852508153250333883090711675749451709540031375104589078333
Thu Sep  4 16:02:43 2008  prp67 factor: 4777419331469809285428949137256054363568169465244600000364285743961
Thu Sep  4 16:02:43 2008  elapsed time 01:45:45 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 15.24 hours.
Scaled time: 12.77 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_2_7_160_1
n: 1211810328045179737137835843378066173006313450989972138219571769921632974435429855162342174929531805158519800996508886585732210697013
type: snfs
skew: 0.75
deg: 5
c5: 250
c0: -61
m: 100000000000000000000000000000000
rlim: 4400000
alim: 4400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 2100001)
Primes: RFBsize:309335, AFBsize:309449, largePrimes:12410612 encountered
Relations: rels:11542233, finalFF:649714
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 14.97 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4400000,4400000,28,28,52,52,2.5,2.5,100000
total time: 15.24 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10162-619

c91

name 名前Serge Batalov
date 日付September 1, 2008 21:23:06 UTC 2008 年 9 月 2 日 (火) 6 時 23 分 6 秒 (日本時間)
composite number 合成数
1450536926816670844973433674050011398591359995388009351598663646137374467946327419502249207<91>
prime factors 素因数
518359647652198152916575830119<30>
2798321461530763710270557913472221025759214843794041462439153<61>
factorization results 素因数分解の結果
Mon Sep  1 10:49:29 2008  Msieve v. 1.37
Mon Sep  1 10:49:29 2008  random seeds: dc3a699f 068f696d
Mon Sep  1 10:49:29 2008  factoring 1450536926816670844973433674050011398591359995388009351598663646137374467946327419502249207 (91 digits)
Mon Sep  1 10:49:29 2008  no P-1/P+1/ECM available, skipping
Mon Sep  1 10:49:29 2008  commencing quadratic sieve (91-digit input)
Mon Sep  1 10:49:29 2008  using multiplier of 7
Mon Sep  1 10:49:30 2008  using 64kb Opteron sieve core
Mon Sep  1 10:49:30 2008  sieve interval: 18 blocks of size 65536
Mon Sep  1 10:49:30 2008  processing polynomials in batches of 6
Mon Sep  1 10:49:30 2008  using a sieve bound of 1648379 (62353 primes)
Mon Sep  1 10:49:30 2008  using large prime bound of 145057352 (27 bits)
Mon Sep  1 10:49:30 2008  using double large prime bound of 490649675444456 (42-49 bits)
Mon Sep  1 10:49:30 2008  using trial factoring cutoff of 49 bits
Mon Sep  1 10:49:30 2008  polynomial 'A' values have 12 factors
Mon Sep  1 12:30:08 2008  62716 relations (16467 full + 46249 combined from 697522 partial), need 62449
Mon Sep  1 12:30:08 2008  begin with 713989 relations
Mon Sep  1 12:30:09 2008  reduce to 154131 relations in 12 passes
Mon Sep  1 12:30:09 2008  attempting to read 154131 relations
Mon Sep  1 12:30:11 2008  recovered 154131 relations
Mon Sep  1 12:30:11 2008  recovered 134673 polynomials
Mon Sep  1 12:30:11 2008  attempting to build 62716 cycles
Mon Sep  1 12:30:11 2008  found 62716 cycles in 6 passes
Mon Sep  1 12:30:11 2008  distribution of cycle lengths:
Mon Sep  1 12:30:11 2008     length 1 : 16467
Mon Sep  1 12:30:11 2008     length 2 : 11946
Mon Sep  1 12:30:11 2008     length 3 : 11000
Mon Sep  1 12:30:11 2008     length 4 : 8364
Mon Sep  1 12:30:11 2008     length 5 : 5902
Mon Sep  1 12:30:11 2008     length 6 : 3907
Mon Sep  1 12:30:11 2008     length 7 : 2351
Mon Sep  1 12:30:11 2008     length 9+: 2779
Mon Sep  1 12:30:11 2008  largest cycle: 19 relations
Mon Sep  1 12:30:11 2008  matrix is 62353 x 62716 (16.4 MB) with weight 3807249 (60.71/col)
Mon Sep  1 12:30:11 2008  sparse part has weight 3807249 (60.71/col)
Mon Sep  1 12:30:12 2008  filtering completed in 3 passes
Mon Sep  1 12:30:12 2008  matrix is 58563 x 58627 (15.4 MB) with weight 3568812 (60.87/col)
Mon Sep  1 12:30:12 2008  sparse part has weight 3568812 (60.87/col)
Mon Sep  1 12:30:12 2008  saving the first 48 matrix rows for later
Mon Sep  1 12:30:12 2008  matrix is 58515 x 58627 (10.2 MB) with weight 2824552 (48.18/col)
Mon Sep  1 12:30:12 2008  sparse part has weight 2093163 (35.70/col)
Mon Sep  1 12:30:12 2008  matrix includes 64 packed rows
Mon Sep  1 12:30:12 2008  using block size 23450 for processor cache size 1024 kB
Mon Sep  1 12:30:13 2008  commencing Lanczos iteration
Mon Sep  1 12:30:13 2008  memory use: 9.0 MB
Mon Sep  1 12:30:39 2008  lanczos halted after 927 iterations (dim = 58513)
Mon Sep  1 12:30:40 2008  recovered 17 nontrivial dependencies
Mon Sep  1 12:30:40 2008  prp30 factor: 518359647652198152916575830119
Mon Sep  1 12:30:40 2008  prp61 factor: 2798321461530763710270557913472221025759214843794041462439153
Mon Sep  1 12:30:40 2008  elapsed time 01:41:11
execution environment 実行環境
Opteron-2.8GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10163-619

c142

name 名前Serge Batalov
date 日付September 2, 2008 06:50:13 UTC 2008 年 9 月 2 日 (火) 15 時 50 分 13 秒 (日本時間)
composite number 合成数
2081185558379197404061940888574676124277720154769167766210744209875394379700563161625838976603572195846297556535733534620852297581830624068407<142>
prime factors 素因数
343669074489795639277832878263307<33>
6055783638574069034440712866051481024164387943862544584024154281615135516630551624273818820529570512643159301<109>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=1462551368
Step 1 took 5520ms
Step 2 took 4013ms
********** Factor found in step 2: 343669074489795639277832878263307
Found probable prime factor of 33 digits: 343669074489795639277832878263307
Probable prime cofactor 6055783638574069034440712866051481024164387943862544584024154281615135516630551624273818820529570512643159301 has 109 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10164-619

c161

name 名前Serge Batalov
date 日付September 3, 2008 01:21:53 UTC 2008 年 9 月 3 日 (水) 10 時 21 分 53 秒 (日本時間)
composite number 合成数
84200599508268498871711966589202115119059647704691657404600720757131790778350341854434003570105419150584352160587383382169681048129062678926273955070560102387929<161>
prime factors 素因数
659829942255417221379291150281179<33>
248570702244139474826035756339690768851787296439<48>
513373237714119628900245111388942430675374787557277953916106237311225424401827709<81>
factorization results 素因数分解の結果
Number: 27771_164
N=84200599508268498871711966589202115119059647704691657404600720757131790778350341854434003570105419150584352160587383382169681048129062678926273955070560102387929
  ( 161 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=659829942255417221379291150281179
 r2=248570702244139474826035756339690768851787296439
 r3=513373237714119628900245111388942430675374787557277953916106237311225424401827709
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.725).
Factorization parameters were as follows:
n: 84200599508268498871711966589202115119059647704691657404600720757131790778350341854434003570105419150584352160587383382169681048129062678926273955070560102387929
Y1: 1
Y0: -1000000000000000000000000000000000
c5: 5
c0: -122
skew: 1.89
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 4500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 827994 x 828242
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,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.5,2.5,100000
total time: 31.00 hours.

# I knew about 3 factors, because of ECM results (but GNFS was still useless):

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3546418022
Step 1 took 19842ms
Step 2 took 14809ms
********** Factor found in step 2: 659829942255417221379291150281179
Found probable prime factor of 33 digits: 659829942255417221379291150281179
Composite cofactor 127609546211946264112980194582537324356226142070695470718473719517438302591875232733472700792167849318979451951203715019387228251 has 129 digits
software ソフトウェア
Msieve 1.37
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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10165-619

c119

name 名前Serge Batalov
date 日付September 2, 2008 17:41:15 UTC 2008 年 9 月 3 日 (水) 2 時 41 分 15 秒 (日本時間)
composite number 合成数
34418027471514668290845983930951905281810929262352274908359794248319699468930591666473141478536247585331790659027127957<119>
prime factors 素因数
80362373512148298738695020240543<32>
1311733054597632858229417944775231493<37>
326503438371259342587167097723316440052457045232143<51>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=4222096588
Step 1 took 3912ms
********** Factor found in step 1: 80362373512148298738695020240543
Found probable prime factor of 32 digits: 80362373512148298738695020240543
Composite cofactor 428285352551361986373445292067672882719692682241289020565800346753478523267674749479499 has 87 digits

Tue Sep  2 09:21:10 2008  Msieve v. 1.37
Tue Sep  2 09:21:10 2008  random seeds: a88b20fd 0f1ad02c
Tue Sep  2 09:21:10 2008  factoring 428285352551361986373445292067672882719692682241289020565800346753478523267674749479499 (87 digits)
Tue Sep  2 09:21:11 2008  no P-1/P+1/ECM available, skipping
Tue Sep  2 09:21:11 2008  commencing quadratic sieve (87-digit input)
Tue Sep  2 09:21:11 2008  using multiplier of 3
Tue Sep  2 09:21:11 2008  using 64kb Opteron sieve core
Tue Sep  2 09:21:11 2008  sieve interval: 10 blocks of size 65536
Tue Sep  2 09:21:11 2008  processing polynomials in batches of 11
Tue Sep  2 09:21:11 2008  using a sieve bound of 1484177 (56667 primes)
Tue Sep  2 09:21:11 2008  using large prime bound of 118734160 (26 bits)
Tue Sep  2 09:21:11 2008  using double large prime bound of 342165490136480 (42-49 bits)
Tue Sep  2 09:21:11 2008  using trial factoring cutoff of 49 bits
Tue Sep  2 09:21:11 2008  polynomial 'A' values have 11 factors
Tue Sep  2 10:02:32 2008  56852 relations (15434 full + 41418 combined from 599869 partial), need 56763
Tue Sep  2 10:02:33 2008  begin with 615303 relations
Tue Sep  2 10:02:33 2008  reduce to 138044 relations in 11 passes
Tue Sep  2 10:02:33 2008  attempting to read 138044 relations
Tue Sep  2 10:02:34 2008  recovered 138044 relations
Tue Sep  2 10:02:34 2008  recovered 118769 polynomials
Tue Sep  2 10:02:34 2008  attempting to build 56852 cycles
Tue Sep  2 10:02:34 2008  found 56852 cycles in 5 passes
Tue Sep  2 10:02:34 2008  distribution of cycle lengths:
Tue Sep  2 10:02:34 2008     length 1 : 15434
Tue Sep  2 10:02:34 2008     length 2 : 11111
Tue Sep  2 10:02:34 2008     length 3 : 10050
Tue Sep  2 10:02:34 2008     length 4 : 7450
Tue Sep  2 10:02:34 2008     length 5 : 5195
Tue Sep  2 10:02:34 2008     length 6 : 3284
Tue Sep  2 10:02:34 2008     length 7 : 2019
Tue Sep  2 10:02:34 2008     length 9+: 2309
Tue Sep  2 10:02:34 2008  largest cycle: 17 relations
Tue Sep  2 10:02:34 2008  matrix is 56667 x 56852 (14.0 MB) with weight 3220880 (56.65/col)
Tue Sep  2 10:02:34 2008  sparse part has weight 3220880 (56.65/col)
Tue Sep  2 10:02:35 2008  filtering completed in 3 passes
Tue Sep  2 10:02:35 2008  matrix is 52655 x 52719 (13.1 MB) with weight 3016772 (57.22/col)
Tue Sep  2 10:02:35 2008  sparse part has weight 3016772 (57.22/col)
Tue Sep  2 10:02:35 2008  saving the first 48 matrix rows for later
Tue Sep  2 10:02:35 2008  matrix is 52607 x 52719 (8.5 MB) with weight 2347485 (44.53/col)
Tue Sep  2 10:02:35 2008  sparse part has weight 1706392 (32.37/col)
Tue Sep  2 10:02:35 2008  matrix includes 64 packed rows
Tue Sep  2 10:02:35 2008  using block size 21087 for processor cache size 1024 kB
Tue Sep  2 10:02:35 2008  commencing Lanczos iteration
Tue Sep  2 10:02:35 2008  memory use: 7.7 MB
Tue Sep  2 10:02:50 2008  lanczos halted after 834 iterations (dim = 52604)
Tue Sep  2 10:02:50 2008  recovered 15 nontrivial dependencies
Tue Sep  2 10:02:50 2008  prp37 factor: 1311733054597632858229417944775231493
Tue Sep  2 10:02:50 2008  prp51 factor: 326503438371259342587167097723316440052457045232143
Tue Sep  2 10:02:50 2008  elapsed time 00:41:40
software ソフトウェア
GMP-ECM 6.2.1+Msieve 1.37/QS
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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10170-619

c146

name 名前Sinkiti Sibata
date 日付September 5, 2008 22:03:33 UTC 2008 年 9 月 6 日 (土) 7 時 3 分 33 秒 (日本時間)
composite number 合成数
17077462550874378271150629056169128122565987071157482103253108951984884573035699470470382216719112388277895264154420547419468349410224094522969853<146>
prime factors 素因数
51349565953817840490156245892197350453929733234153814020952530482561583<71>
332572675808658297792850706653907384324838226345820816882845634793838252691<75>
factorization results 素因数分解の結果
Number: 27771_170
N=17077462550874378271150629056169128122565987071157482103253108951984884573035699470470382216719112388277895264154420547419468349410224094522969853
  ( 146 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=51349565953817840490156245892197350453929733234153814020952530482561583 (pp71)
 r2=332572675808658297792850706653907384324838226345820816882845634793838252691 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 170.65 hours.
Scaled time: 172.53 units (timescale=1.011).
Factorization parameters were as follows:
name: 27771_170
n: 17077462550874378271150629056169128122565987071157482103253108951984884573035699470470382216719112388277895264154420547419468349410224094522969853
m: 10000000000000000000000000000000000
c5: 25
c0: -61
skew: 1.2
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 7900001)
Primes: RFBsize:412849, AFBsize:412112, largePrimes:6360126 encountered
Relations: rels:6833798, finalFF:1111408
Max relations in full relation-set: 28
Initial matrix: 825025 x 1111408 with sparse part having weight 72010060.
Pruned matrix : 587573 x 591762 with weight 55353352.
Total sieving time: 166.78 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.59 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 170.65 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10171-619

c138

name 名前Serge Batalov
date 日付September 3, 2008 19:13:57 UTC 2008 年 9 月 4 日 (木) 4 時 13 分 57 秒 (日本時間)
composite number 合成数
140693040843042149232431819099808745710133880796846730083341746919877322624230977216985684527160960476077508970181392027842574047562946081<138>
prime factors 素因数
44512398379504795249333730316447728566719025499<47>
3160760731055610510155798731208531392799859145056964147663316803202246756868891237027738419<91>
factorization results 素因数分解の結果
# what a nice catch for B1=3e6! :-) Wow.
#
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3132305148
Step 1 took 18363ms
Step 2 took 16355ms
********** Factor found in step 2: 44512398379504795249333730316447728566719025499
Found probable prime factor of 47 digits: 44512398379504795249333730316447728566719025499
Probable prime cofactor 3160760731055610510155798731208531392799859145056964147663316803202246756868891237027738419 has 91 digits
software ソフトウェア
GMP-ECM 6.2.1
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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10172-619

c103

name 名前Sinkiti Sibata
date 日付September 3, 2008 16:06:50 UTC 2008 年 9 月 4 日 (木) 1 時 6 分 50 秒 (日本時間)
composite number 合成数
2993798630634018102752511257355121413329191653523966592393572962544732016371065178595419712380085455069<103>
prime factors 素因数
1419307810265852610333835137969799236391677581<46>
2109337107130584539479018932845314440549663990721314805649<58>
factorization results 素因数分解の結果


Msieve v. 1.36
Tue Sep  2 13:53:04 2008
random seeds: 331ffe7b d5a5e8c8
factoring 2993798630634018102752511257355121413329191653523966592393572962544732
016371065178595419712380085455069 (103 digits)
no P-1/P+1/ECM available, skipping
commencing quadratic sieve (103-digit input)
using multiplier of 1
using 64kb Pentium 4 sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 3418799 (122500 primes)
using large prime bound of 512819850 (28 bits)
using double large prime bound of 4763615381480700 (44-53 bits)
using trial factoring cutoff of 53 bits
polynomial 'A' values have 13 factors

sieving in progress (press Ctrl-C to pause)
100039 relations (27689 full + 72350 combined from 1685255 partial), need 122596
100275 relations (27714 full + 72561 combined from 1686837 partial), need 122596
100506 relations (27736 full + 72770 combined from 1688414 partial), need 122596
100749 relations (27755 full + 72994 combined from 1690053 partial), need 122596
101012 relations (27781 full + 73231 combined from 1691734 partial), need 122596
101272 relations (27809 full + 73463 combined from 1693393 partial), need 122596
101524 relations (27834 full + 73690 combined from 1695033 partial), need 122596
101785 relations (27857 full + 73928 combined from 1696615 partial), need 122596
102024 relations (27882 full + 74142 combined from 1698192 partial), need 122596
102312 relations (27902 full + 74410 combined from 1699740 partial), need 122596
102557 relations (27936 full + 74621 combined from 1701299 partial), need 122596
102792 relations (27961 full + 74831 combined from 1702802 partial), need 122596
103045 relations (27997 full + 75048 combined from 1704372 partial), need 122596
103324 relations (28032 full + 75292 combined from 1706045 partial), need 122596
103582 relations (28060 full + 75522 combined from 1707634 partial), need 122596
103834 relations (28093 full + 75741 combined from 1709201 partial), need 122596
104069 relations (28118 full + 75951 combined from 1710735 partial), need 122596
104304 relations (28156 full + 76148 combined from 1712299 partial), need 122596
104536 relations (28183 full + 76353 combined from 1713828 partial), need 122596
104784 relations (28212 full + 76572 combined from 1715370 partial), need 122596
105055 relations (28236 full + 76819 combined from 1716949 partial), need 122596
105312 relations (28269 full + 77043 combined from 1718490 partial), need 122596
105545 relations (28303 full + 77242 combined from 1720109 partial), need 122596
105798 relations (28327 full + 77471 combined from 1721726 partial), need 122596
106066 relations (28358 full + 77708 combined from 1723336 partial), need 122596
106315 relations (28382 full + 77933 combined from 1724913 partial), need 122596
106540 relations (28405 full + 78135 combined from 1726523 partial), need 122596
106795 relations (28430 full + 78365 combined from 1728052 partial), need 122596
107071 relations (28456 full + 78615 combined from 1729635 partial), need 122596
107349 relations (28486 full + 78863 combined from 1731297 partial), need 122596
107612 relations (28505 full + 79107 combined from 1732891 partial), need 122596
107878 relations (28531 full + 79347 combined from 1734576 partial), need 122596
108119 relations (28560 full + 79559 combined from 1736178 partial), need 122596
108348 relations (28582 full + 79766 combined from 1737692 partial), need 122596
108579 relations (28603 full + 79976 combined from 1739206 partial), need 122596
108835 relations (28630 full + 80205 combined from 1740789 partial), need 122596
109089 relations (28658 full + 80431 combined from 1742365 partial), need 122596
109343 relations (28687 full + 80656 combined from 1743914 partial), need 122596
109578 relations (28712 full + 80866 combined from 1745500 partial), need 122596
109836 relations (28739 full + 81097 combined from 1747133 partial), need 122596
110093 relations (28764 full + 81329 combined from 1748667 partial), need 122596
110348 relations (28789 full + 81559 combined from 1750171 partial), need 122596
110618 relations (28818 full + 81800 combined from 1751812 partial), need 122596
110880 relations (28833 full + 82047 combined from 1753432 partial), need 122596
111115 relations (28862 full + 82253 combined from 1754973 partial), need 122596
111382 relations (28887 full + 82495 combined from 1756580 partial), need 122596
111634 relations (28915 full + 82719 combined from 1758168 partial), need 122596
111902 relations (28944 full + 82958 combined from 1759681 partial), need 122596
112141 relations (28969 full + 83172 combined from 1761279 partial), need 122596
112406 relations (28996 full + 83410 combined from 1762883 partial), need 122596
112641 relations (29019 full + 83622 combined from 1764483 partial), need 122596
112900 relations (29044 full + 83856 combined from 1765994 partial), need 122596
113157 relations (29063 full + 84094 combined from 1767612 partial), need 122596
113431 relations (29094 full + 84337 combined from 1769187 partial), need 122596
113699 relations (29115 full + 84584 combined from 1770789 partial), need 122596
113976 relations (29152 full + 84824 combined from 1772445 partial), need 122596
114260 relations (29181 full + 85079 combined from 1774007 partial), need 122596
114504 relations (29203 full + 85301 combined from 1775586 partial), need 122596
114784 relations (29225 full + 85559 combined from 1777186 partial), need 122596
115057 relations (29259 full + 85798 combined from 1778770 partial), need 122596
115325 relations (29282 full + 86043 combined from 1780307 partial), need 122596
115605 relations (29305 full + 86300 combined from 1781882 partial), need 122596
115862 relations (29330 full + 86532 combined from 1783480 partial), need 122596
116094 relations (29347 full + 86747 combined from 1785041 partial), need 122596
116349 relations (29365 full + 86984 combined from 1786621 partial), need 122596
116608 relations (29392 full + 87216 combined from 1788221 partial), need 122596
116875 relations (29411 full + 87464 combined from 1789818 partial), need 122596
117163 relations (29438 full + 87725 combined from 1791426 partial), need 122596
117465 relations (29464 full + 88001 combined from 1793037 partial), need 122596
117754 relations (29493 full + 88261 combined from 1794667 partial), need 122596
118013 relations (29511 full + 88502 combined from 1796239 partial), need 122596
118293 relations (29539 full + 88754 combined from 1797859 partial), need 122596
118590 relations (29576 full + 89014 combined from 1799475 partial), need 122596
118867 relations (29595 full + 89272 combined from 1801040 partial), need 122596
119128 relations (29618 full + 89510 combined from 1802617 partial), need 122596
119375 relations (29645 full + 89730 combined from 1804194 partial), need 122596
119642 relations (29675 full + 89967 combined from 1805758 partial), need 122596
119923 relations (29704 full + 90219 combined from 1807401 partial), need 122596
120225 relations (29745 full + 90480 combined from 1809005 partial), need 122596
120505 relations (29768 full + 90737 combined from 1810656 partial), need 122596
120771 relations (29787 full + 90984 combined from 1812243 partial), need 122596
121035 relations (29810 full + 91225 combined from 1813821 partial), need 122596
121305 relations (29831 full + 91474 combined from 1815435 partial), need 122596
121600 relations (29860 full + 91740 combined from 1816956 partial), need 122596
121881 relations (29884 full + 91997 combined from 1818562 partial), need 122596
122151 relations (29908 full + 92243 combined from 1820182 partial), need 122596
122423 relations (29927 full + 92496 combined from 1821756 partial), need 122596
122710 relations (29950 full + 92760 combined from 1823402 partial), need 122596

122710 relations (29950 full + 92760 combined from 1823402 partial), need 122596

sieving complete, commencing postprocessing
begin with 1853352 relations
reduce to 320739 relations in 10 passes
attempting to read 320739 relations
recovered 320739 relations
recovered 310067 polynomials
attempting to build 122710 cycles
found 122709 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 29950
   length 2 : 21063
   length 3 : 20688
   length 4 : 16492
   length 5 : 12620
   length 6 : 8658
   length 7 : 5521
   length 9+: 7717
largest cycle: 19 relations
matrix is 122500 x 122709 (35.8 MB) with weight 8892811 (72.47/col)
sparse part has weight 8892811 (72.47/col)
filtering completed in 3 passes
matrix is 116994 x 117058 (34.4 MB) with weight 8538750 (72.94/col)
sparse part has weight 8538750 (72.94/col)
saving the first 48 matrix rows for later
matrix is 116946 x 117058 (24.7 MB) with weight 7163227 (61.19/col)
sparse part has weight 5785677 (49.43/col)
matrix includes 64 packed rows
using block size 21845 for processor cache size 512 kB
commencing Lanczos iteration
memory use: 21.9 MB
linear algebra completed 115406 out of 117058 dimensions (98.6%)
lanczos halted after 1850 iterations (dim = 116945)
recovered 16 nontrivial dependencies
prp46 factor: 1419307810265852610333835137969799236391677581
prp58 factor: 2109337107130584539479018932845314440549663990721314805649
elapsed time 34:58:42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10174-619

c165

name 名前matsui
date 日付October 4, 2009 12:51:43 UTC 2009 年 10 月 4 日 (日) 21 時 51 分 43 秒 (日本時間)
composite number 合成数
362407875953992078870973210457563521793287716680851855268135599529779022325737810170065681415705662921348106771932711328587577814913912875930872703313939430576484431<165>
prime factors 素因数
66522182025933914980141308358046139455527739<44>
5447925262173541576005437341883756530635970709270997946040684543445936204837528913808007878742336075875516134731712620029<121>
factorization results 素因数分解の結果
N=362407875953992078870973210457563521793287716680851855268135599529779022325737810170065681415705662921348106771932711328587577814913912875930872703313939430576484431
  ( 165 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=66522182025933914980141308358046139455527739 (pp44)
 r2=5447925262173541576005437341883756530635970709270997946040684543445936204837528913808007878742336075875516134731712620029 (pp121)
Version: Msieve v. 1.42
Total time: 144.27 hours.
Scaled time: 429.36 units (timescale=2.976).
Factorization parameters were as follows:
n: 362407875953992078870973210457563521793287716680851855268135599529779022325737810170065681415705662921348106771932711328587577814913912875930872703313939430576484431
m: 50000000000000000000000000000000000
deg: 5
c5: 80
c0: -61
skew: 0.95
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5


Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 7050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1169139 x 1169367
Total sieving time: 142.80 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.29 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 144.27 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e61000500Lionel DebrouxOctober 3, 2009 19:04:54 UTC 2009 年 10 月 4 日 (日) 4 時 4 分 54 秒 (日本時間)
500Lionel DebrouxOctober 4, 2009 06:15:05 UTC 2009 年 10 月 4 日 (日) 15 時 15 分 5 秒 (日本時間)

25×10175-619

c134

name 名前Wataru Sakai
date 日付September 3, 2011 09:52:40 UTC 2011 年 9 月 3 日 (土) 18 時 52 分 40 秒 (日本時間)
composite number 合成数
11452484364908758195074343082799435768817865283807308656031130204422545152770464456026948659621184271067513847601656145852860829890317<134>
prime factors 素因数
325357900102713751078335624642068978594422001<45>
35199650481187855151220231434203930641589700515520621743884025357824851988375481446116317<89>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1023625928
Step 1 took 40720ms
Step 2 took 18399ms
********** Factor found in step 2: 325357900102713751078335624642068978594422001
Found probable prime factor of 45 digits: 325357900102713751078335624642068978594422001
Probable prime cofactor 35199650481187855151220231434203930641589700515520621743884025357824851988375481446116317 has 89 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e6910juno1369August 13, 2010 05:40:05 UTC 2010 年 8 月 13 日 (金) 14 時 40 分 5 秒 (日本時間)
403e620881373juno1369August 13, 2010 05:40:25 UTC 2010 年 8 月 13 日 (金) 14 時 40 分 25 秒 (日本時間)
715Wataru SakaiAugust 24, 2010 07:46:56 UTC 2010 年 8 月 24 日 (火) 16 時 46 分 56 秒 (日本時間)
4511e6200 / 3975Ignacio SantosJanuary 9, 2011 20:46:33 UTC 2011 年 1 月 10 日 (月) 5 時 46 分 33 秒 (日本時間)

25×10176-619

c140

name 名前Markus Tervooren
date 日付September 14, 2012 10:14:45 UTC 2012 年 9 月 14 日 (金) 19 時 14 分 45 秒 (日本時間)
composite number 合成数
19738606534113596565288605060859842456308204379753848765592185686611325413891982510383263138612965470192664510813296272081653385865781869221<140>
prime factors 素因数
14344981459401114281441547188409204249146069939<47>
1375993868655558348978891915700067652067302194536892775483245969319727867058872581465851194439<94>
factorization results 素因数分解の結果
Msieve v. 1.50 (SVN exported)
Fri Sep 14 12:11:00 2012
random seeds: 0670333b 7e1769a0
factoring 19738606534113596565288605060859842456308204379753848765592185686611325413891982510383263138612965470192664510813296272081653385865781869221 (140 digits)
searching for 15-digit factors
commencing number field sieve (140-digit input)
R0: -100000000000000000000000000000000000
R1: 1
A0: -61
A1: 0
A2: 0
A3: 0
A4: 0
A5: 250
skew 0.75, size 1.607e-12, alpha 0.859, combined = 1.122e-10 rroots = 1

commencing square root phase
reading relations for dependency 1
read 352968 cycles
cycles contain 1060122 unique relations
read 1060122 relations
multiplying 1060122 relations
multiply complete, coefficients have about 32.46 million bits
initial square root is modulo 2099419481
sqrtTime: 77
prp47 factor: 14344981459401114281441547188409204249146069939
prp94 factor: 1375993868655558348978891915700067652067302194536892775483245969319727867058872581465851194439
elapsed time 00:01:18

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 5, 2011 20:52:12 UTC 2011 年 4 月 6 日 (水) 5 時 52 分 12 秒 (日本時間)
2036Wataru SakaiOctober 7, 2011 04:39:59 UTC 2011 年 10 月 7 日 (金) 13 時 39 分 59 秒 (日本時間)

25×10177-619

c137

name 名前Serge Batalov
date 日付September 4, 2008 18:04:06 UTC 2008 年 9 月 5 日 (金) 3 時 4 分 6 秒 (日本時間)
composite number 合成数
20336435621711163004319017348426243298172111428968716683560440330360969186174025427330767182759040760653224708661581393558803649657453331<137>
prime factors 素因数
71134251631905636534346663289671327<35>
285888094063953311988136712438838290992815309587898590647604791112176558836528871352247718253340599053<102>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1489180364
Step 1 took 60415ms
Step 2 took 11865ms
********** Factor found in step 2: 71134251631905636534346663289671327
Found probable prime factor of 35 digits: 71134251631905636534346663289671327
Probable prime cofactor 285888094063953311988136712438838290992815309587898590647604791112176558836528871352247718253340599053 has 102 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10178-619

c139

name 名前Dmitry Domanov
date 日付May 23, 2013 08:00:27 UTC 2013 年 5 月 23 日 (木) 17 時 0 分 27 秒 (日本時間)
composite number 合成数
1148785327149475402072690803172588920198892530444697792074098502348584772877030303796373666589082913404668130179378423428541665585643933967<139>
prime factors 素因数
3033609681640163118211947707190263880163644662540933727443<58>
378685937779697714288980705899283428904149075269378180789618703955829338929302869<81>
factorization results 素因数分解の結果
N=1148785327149475402072690803172588920198892530444697792074098502348584772877030303796373666589082913404668130179378423428541665585643933967
  ( 139 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=3033609681640163118211947707190263880163644662540933727443 (pp58)
 r2=378685937779697714288980705899283428904149075269378180789618703955829338929302869 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 144.42 hours.
Scaled time: 115.53 units (timescale=0.800).
Factorization parameters were as follows:
n: 1148785327149475402072690803172588920198892530444697792074098502348584772877030303796373666589082913404668130179378423428541665585643933967
m: 500000000000000000000000000000000000
deg: 5
c5: 8
c0: -61
skew: 1.50
# Murphy_E = 1.191e-10
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 8200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1404896 x 1405127
Total sieving time: 137.70 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 2.88 hours.
Time per square root: 3.35 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 144.42 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 5, 2011 20:51:48 UTC 2011 年 4 月 6 日 (水) 5 時 51 分 48 秒 (日本時間)
2036Wataru SakaiMarch 23, 2012 00:59:28 UTC 2012 年 3 月 23 日 (金) 9 時 59 分 28 秒 (日本時間)

25×10179-619

c154

name 名前Dmitry Domanov
date 日付May 27, 2013 13:57:01 UTC 2013 年 5 月 27 日 (月) 22 時 57 分 1 秒 (日本時間)
composite number 合成数
9683812359535301254694461975539262097437827193396900440368249003380257723117517064703466892327786474741693711177659940892638072156655378943646971477107937<154>
prime factors 素因数
46205555207059443940132915017451119439632045524572814917095001<62>
209581127553592842313039179332680997588112827178274595514135243096222019311597164216419092937<93>
factorization results 素因数分解の結果
SNFS difficulty: 180 digits.
Divisors found:
 r1=46205555207059443940132915017451119439632045524572814917095001 (pp62)
 r2=209581127553592842313039179332680997588112827178274595514135243096222019311597164216419092937 (pp93)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 105.80 hours.
Scaled time: 203.44 units (timescale=1.923).
Factorization parameters were as follows:
n: 9683812359535301254694461975539262097437827193396900440368249003380257723117517064703466892327786474741693711177659940892638072156655378943646971477107937
m: 500000000000000000000000000000000000
deg: 5
c5: 80
c0: -61
skew: 0.95
# Murphy_E = 9.744e-11
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3550000, 9150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1566819 x 1567067
Total sieving time: 103.02 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.47 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 105.80 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 5, 2011 20:51:39 UTC 2011 年 4 月 6 日 (水) 5 時 51 分 39 秒 (日本時間)
2036Wataru SakaiJune 29, 2012 00:22:29 UTC 2012 年 6 月 29 日 (金) 9 時 22 分 29 秒 (日本時間)

25×10180-619

c154

name 名前Dmitry Domanov
date 日付May 28, 2013 05:14:23 UTC 2013 年 5 月 28 日 (火) 14 時 14 分 23 秒 (日本時間)
composite number 合成数
1268919133323414465955464464810661920386263446628195592473335890507595834324398833235822964262179907641298584286117804743491931591129880159938367362493539<154>
prime factors 素因数
43952400331059530094446521726274677395012244991<47>
28870303413820983247599551062169424987701202250805189914283964624648114109735130174345717592163756000956829<107>
factorization results 素因数分解の結果
N=1268919133323414465955464464810661920386263446628195592473335890507595834324398833235822964262179907641298584286117804743491931591129880159938367362493539
  ( 154 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=43952400331059530094446521726274677395012244991 (pp47)
 r2=28870303413820983247599551062169424987701202250805189914283964624648114109735130174345717592163756000956829 (pp107)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 94.39 hours.
Scaled time: 181.41 units (timescale=1.922).
Factorization parameters were as follows:
n: 1268919133323414465955464464810661920386263446628195592473335890507595834324398833235822964262179907641298584286117804743491931591129880159938367362493539
m: 1000000000000000000000000000000000000
deg: 5
c5: 25
c0: -61
skew: 1.20
# Murphy_E = 1.118e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 8500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1250389 x 1250615
Total sieving time: 92.38 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.50 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 94.39 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 5, 2011 20:51:31 UTC 2011 年 4 月 6 日 (水) 5 時 51 分 31 秒 (日本時間)

25×10181-619

c179

name 名前Ignacio Santos
date 日付March 30, 2009 13:54:39 UTC 2009 年 3 月 30 日 (月) 22 時 54 分 39 秒 (日本時間)
composite number 合成数
57510927076144467448815274902231423970554405337014032666206579250057510927076144467448815274902231423970554405337014032666206579250057510927076144467448815274902231423970554405337<179>
prime factors 素因数
75510615435433520332094734482048406815014663397888447357329506169<65>
761627047329789607062080654255561176112224466344542541980790154090969468251343258094559369704529752173237377695073<114>
factorization results 素因数分解の結果
Number: 27771_181
N=57510927076144467448815274902231423970554405337014032666206579250057510927076144467448815274902231423970554405337014032666206579250057510927076144467448815274902231423970554405337
  ( 179 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=75510615435433520332094734482048406815014663397888447357329506169 (pp65)
 r2=761627047329789607062080654255561176112224466344542541980790154090969468251343258094559369704529752173237377695073 (pp114)
Version: Msieve-1.39
Total time: 164.24 hours.
Scaled time: 284.96 units (timescale=1.735).
Factorization parameters were as follows:
n: 57510927076144467448815274902231423970554405337014032666206579250057510927076144467448815274902231423970554405337014032666206579250057510927076144467448815274902231423970554405337
m: 1000000000000000000000000000000000000
deg: 5
c5: 250
c0: -61
skew: 0.75
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3850000, 6650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1525062 x 1525310
Total sieving time: 164.24 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,182,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 164.24 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10183-619

c158

name 名前Dmitry Domanov
date 日付July 5, 2013 13:43:04 UTC 2013 年 7 月 5 日 (金) 22 時 43 分 4 秒 (日本時間)
composite number 合成数
30773519564548160797830416671291408914885197315247054710183706096118783318575533029894295595074971984793006225165458779325237722214514755830997671368360130133<158>
prime factors 素因数
8669632016123061916796275866681188298080002637458820578788528466567<67>
3549576211229971902588534703314750688553380340638757643423328560633508371570386185671820099<91>
factorization results 素因数分解の結果
N=30773519564548160797830416671291408914885197315247054710183706096118783318575533029894295595074971984793006225165458779325237722214514755830997671368360130133
  ( 158 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=8669632016123061916796275866681188298080002637458820578788528466567 (pp67)
 r2=3549576211229971902588534703314750688553380340638757643423328560633508371570386185671820099 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 142.62 hours.
Scaled time: 274.25 units (timescale=1.923).
Factorization parameters were as follows:
n: 30773519564548160797830416671291408914885197315247054710183706096118783318575533029894295595074971984793006225165458779325237722214514755830997671368360130133
m: 5000000000000000000000000000000000000
deg: 5
c5: 8
c0: -61
skew: 1.50
# Murphy_E = 7.475e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
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, 11350001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1627916 x 1628146
Total sieving time: 139.65 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.54 hours.
Time per square root: 0.18 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: 142.62 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 20, 2011 15:01:28 UTC 2011 年 4 月 21 日 (木) 0 時 1 分 28 秒 (日本時間)
403e61110 / 2144110Ignacio SantosApril 20, 2011 15:01:28 UTC 2011 年 4 月 21 日 (木) 0 時 1 分 28 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:14:40 UTC 2013 年 6 月 1 日 (土) 1 時 14 分 40 秒 (日本時間)
4511e632 / 4220Ignacio SantosApril 20, 2011 15:01:28 UTC 2011 年 4 月 21 日 (木) 0 時 1 分 28 秒 (日本時間)

25×10184-619

c182

name 名前Wataru Sakai
date 日付September 14, 2008 06:42:26 UTC 2008 年 9 月 14 日 (日) 15 時 42 分 26 秒 (日本時間)
composite number 合成数
34421038138510257469365276056725870852264904309513974941484235164532562302079030703566019551149662673826242599476800220294644086465647803937766763045573454495387580889439625499105053<182>
prime factors 素因数
509575232245114400105218066214409542599718583695395748663216501642189269183<75>
67548491293142657192636214891586037775613013390913300305025073464846830376816916705229553974495985164761891<107>
factorization results 素因数分解の結果
Number: 27771_184
N=34421038138510257469365276056725870852264904309513974941484235164532562302079030703566019551149662673826242599476800220294644086465647803937766763045573454495387580889439625499105053
  ( 182 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=509575232245114400105218066214409542599718583695395748663216501642189269183 (pp75)
 r2=67548491293142657192636214891586037775613013390913300305025073464846830376816916705229553974495985164761891 (pp107)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 835.22 hours.
Scaled time: 1672.94 units (timescale=2.003).
Factorization parameters were as follows:
n: 34421038138510257469365276056725870852264904309513974941484235164532562302079030703566019551149662673826242599476800220294644086465647803937766763045573454495387580889439625499105053
m: 10000000000000000000000000000000000000
c5: 5
c0: -122
skew: 1.89
type: snfsFactor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 15000001)
Primes: RFBsize:501962, AFBsize:500647, largePrimes:6989854 encountered
Relations: rels:7537555, finalFF:1185130
Max relations in full relation-set: 32
Initial matrix: 1002674 x 1185130 with sparse part having weight 117077372.
Pruned matrix : 861922 x 866999 with weight 96601519.
Total sieving time: 826.03 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 8.80 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 835.22 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10186-619

c176

name 名前Robert Backstrom
date 日付February 10, 2012 10:22:59 UTC 2012 年 2 月 10 日 (金) 19 時 22 分 59 秒 (日本時間)
composite number 合成数
27809894898955270782781536255945287665458320084517387708928670168936155846203127601219220364296662497159926705893001062149944642346771985118998030300338925617557633147934331647<176>
prime factors 素因数
5414636935281406913349458857105484780449526483<46>
15009116190485478016577138811493608631091125451562089<53>
342195966763892628879123527833453886016064164105727964142669362057924357193181<78>
factorization results 素因数分解の結果
Number: n
N=27809894898955270782781536255945287665458320084517387708928670168936155846203127601219220364296662497159926705893001062149944642346771985118998030300338925617557633147934331647
  ( 176 digits)
SNFS difficulty: 187 digits.
Divisors found:

Fri Feb 10 21:13:59 2012  prp46 factor: 5414636935281406913349458857105484780449526483
Fri Feb 10 21:13:59 2012  prp53 factor: 15009116190485478016577138811493608631091125451562089
Fri Feb 10 21:13:59 2012  prp78 factor: 342195966763892628879123527833453886016064164105727964142669362057924357193181
Fri Feb 10 21:13:59 2012  elapsed time 03:10:59 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.651).
Factorization parameters were as follows:
name: KA_27771_186
n: 27809894898955270782781536255945287665458320084517387708928670168936155846203127601219220364296662497159926705893001062149944642346771985118998030300338925617557633147934331647
m: 10000000000000000000000000000000000000
#  c176, diff: 187.4
skew: 0.75
deg: 5
c5: 250
c0: -61
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 7246181 hash collisions in 76720955 relations (71998930 unique)
Msieve: matrix is 1219637 x 1219876 (341.8 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,187,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 20, 2011 15:17:46 UTC 2011 年 4 月 21 日 (木) 0 時 17 分 46 秒 (日本時間)
403e6110 / 2144Ignacio SantosApril 20, 2011 15:17:46 UTC 2011 年 4 月 21 日 (木) 0 時 17 分 46 秒 (日本時間)
4511e632 / 4441Ignacio SantosApril 20, 2011 15:17:46 UTC 2011 年 4 月 21 日 (木) 0 時 17 分 46 秒 (日本時間)

25×10187-619

c154

name 名前Ben Meekins
date 日付October 16, 2014 17:45:46 UTC 2014 年 10 月 17 日 (金) 2 時 45 分 46 秒 (日本時間)
composite number 合成数
4038545957205107762979358476126149020366004208363319795722001030034244790199778666021922520992404086707660106178179109264388208188904149894884038480945377<154>
prime factors 素因数
156036180637286656358135333912367766215147691292844319<54>
25882112345423881351610615434392599822326561460281122965970297545272282068953055151269841206206365183<101>
factorization results 素因数分解の結果
Number: 27771_187
N = 4038545957205107762979358476126149020366004208363319795722001030034244790199778666021922520992404086707660106178179109264388208188904149894884038480945377 (154 digits)
SNFS difficulty: 190 digits.
Divisors found:
r1=156036180637286656358135333912367766215147691292844319 (pp54)
r2=25882112345423881351610615434392599822326561460281122965970297545272282068953055151269841206206365183 (pp101)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 13.79 hours.
Factorization parameters were as follows:
n: 4038545957205107762979358476126149020366004208363319795722001030034244790199778666021922520992404086707660106178179109264388208188904149894884038480945377
m: 50000000000000000000000000000000000000
deg: 5
c5: 4
c0: -305
skew: 2.38
# Murphy_E = 4.619e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21995027
Relations: 3182704 relations
Pruned matrix : 1943055 x 1943283
Polynomial selection time: 0.00 hours.
Total sieving time: 12.36 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.16 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,190,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,200000
total time: 13.79 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 12, speed: 3.40GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 20, 2011 16:56:18 UTC 2011 年 4 月 21 日 (木) 1 時 56 分 18 秒 (日本時間)
403e61110110Ignacio SantosApril 20, 2011 16:56:18 UTC 2011 年 4 月 21 日 (木) 1 時 56 分 18 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:14:49 UTC 2013 年 6 月 1 日 (土) 1 時 14 分 49 秒 (日本時間)
4511e61032 / 422032Ignacio SantosApril 20, 2011 16:56:18 UTC 2011 年 4 月 21 日 (木) 1 時 56 分 18 秒 (日本時間)
1000Dmitry DomanovJune 20, 2013 14:53:26 UTC 2013 年 6 月 20 日 (木) 23 時 53 分 26 秒 (日本時間)

25×10188-619

c181

name 名前Dmitry Domanov
date 日付June 19, 2010 08:03:48 UTC 2010 年 6 月 19 日 (土) 17 時 3 分 48 秒 (日本時間)
composite number 合成数
9180500055301496233125153009099296696212343438643914405703211597075006018460421254001885549856558175225935135925988071790966946854426694461695522098361486016109919463842932866297059<181>
prime factors 素因数
344559956490953332823434154872725361<36>
composite cofactor 合成数の残り
26644129366618772497187487830227859459964086829907275972770837997721242500674436465066351795983058463983452897365194039667812872161360447649763219<146>
factorization results 素因数分解の結果
 Factor=344559956490953332823434154872725361  Method=ECM  B1=11000000  Sigma=1737892046

c146

name 名前Daniel Morel
date 日付December 17, 2014 16:26:10 UTC 2014 年 12 月 18 日 (木) 1 時 26 分 10 秒 (日本時間)
composite number 合成数
26644129366618772497187487830227859459964086829907275972770837997721242500674436465066351795983058463983452897365194039667812872161360447649763219<146>
prime factors 素因数
28172895250639690909327135764207491675262223241158622239<56>
945736287647390219553620749930045228824681773074517917625096785519367406134505825203895821<90>
factorization results 素因数分解の結果
Polynomial: X^5 - 244 ; m = 100000000000000000000000000000000000000
rlim = alim = 22000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.1
skew = 4.8
qIntSize = 100000

Initial matrix: 2780117 x 3191560
Pruned matrix: 2366277 x 2380241

time: 24 days 11 hours or so

p56 = 28172895250639690909327135764207491675262223241158622239
p90 = 945736287647390219553620749930045228824681773074517917625096785519367406134505825203895821
software ソフトウェア
GGNFS-0.77.1
execution environment 実行環境
Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 20, 2011 17:52:45 UTC 2011 年 4 月 21 日 (木) 2 時 52 分 45 秒 (日本時間)
403e61110110Ignacio SantosApril 20, 2011 17:52:45 UTC 2011 年 4 月 21 日 (木) 2 時 52 分 45 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:15:01 UTC 2013 年 6 月 1 日 (土) 1 時 15 分 1 秒 (日本時間)
4511e61058 / 422026Dmitry DomanovJune 19, 2010 08:03:23 UTC 2010 年 6 月 19 日 (土) 17 時 3 分 23 秒 (日本時間)
32Ignacio SantosApril 20, 2011 17:52:45 UTC 2011 年 4 月 21 日 (木) 2 時 52 分 45 秒 (日本時間)
1000Dmitry DomanovJune 20, 2013 14:53:10 UTC 2013 年 6 月 20 日 (木) 23 時 53 分 10 秒 (日本時間)

25×10189-619

c143

name 名前Serge Batalov
date 日付September 3, 2008 20:27:09 UTC 2008 年 9 月 4 日 (木) 5 時 27 分 9 秒 (日本時間)
composite number 合成数
12018048381692400421212717296275637610146695518590629238134898909984029084551522417939927731397994346344885523713952234598514496626646795174947<143>
prime factors 素因数
2016363122734122769308758804969621922733<40>
5960259958234267822953007523507500830294029263387822644819553059732204123759026007056155922498545778959<103>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2931673241
Step 1 took 18370ms
Step 2 took 16498ms
********** Factor found in step 2: 2016363122734122769308758804969621922733
Found probable prime factor of 40 digits: 2016363122734122769308758804969621922733
Probable prime cofactor 5960259958234267822953007523507500830294029263387822644819553059732204123759026007056155922498545778959 has 103 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10190-619

c123

name 名前Serge Batalov
date 日付September 1, 2008 22:15:40 UTC 2008 年 9 月 2 日 (火) 7 時 15 分 40 秒 (日本時間)
composite number 合成数
247963099745257270802375505975056582154939067955397108717598579378561964954640444325257948150547559699797086297962971975687<123>
prime factors 素因数
2976504347692375718574208936493265731<37>
83306815908902703939279567118759249527571709871356299315811741626793814308282721962477<86>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2641304095
Step 1 took 5033ms
Step 2 took 2858ms
********** Factor found in step 2: 2976504347692375718574208936493265731
Found probable prime factor of 37 digits: 2976504347692375718574208936493265731
Probable prime cofactor 83306815908902703939279567118759249527571709871356299315811741626793814308282721962477 has 86 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10192-619

c160

composite cofactor 合成数の残り
5387562871505622395289608142855865421864361484426893792724951639083372273480832188402520604375436469206433412917154825320127047451288226531147288983287814483593<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 20, 2011 19:09:01 UTC 2011 年 4 月 21 日 (木) 4 時 9 分 1 秒 (日本時間)
403e61110110Ignacio SantosApril 20, 2011 19:09:01 UTC 2011 年 4 月 21 日 (木) 4 時 9 分 1 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:15:11 UTC 2013 年 6 月 1 日 (土) 1 時 15 分 11 秒 (日本時間)
4511e61032 / 422032Ignacio SantosApril 20, 2011 19:09:01 UTC 2011 年 4 月 21 日 (木) 4 時 9 分 1 秒 (日本時間)
1000Dmitry DomanovJune 20, 2013 14:52:54 UTC 2013 年 6 月 20 日 (木) 23 時 52 分 54 秒 (日本時間)

25×10193-619

c153

name 名前Serge Batalov
date 日付September 3, 2008 20:24:21 UTC 2008 年 9 月 4 日 (木) 5 時 24 分 21 秒 (日本時間)
composite number 合成数
122189082454211509754407203134752262606418736447529853867973477734494432479252752444387581184751624907132441550802269764979596199639643765821411759390271<153>
prime factors 素因数
80485311297327121853982640517<29>
composite cofactor 合成数の残り
1518153815704622240936737904859078621016147552740776785285576396386699185397561525934124104891750356941221401004594467058163<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1712037598
Step 1 took 18241ms
Step 2 took 16894ms
********** Factor found in step 2: 80485311297327121853982640517
Found probable prime factor of 29 digits: 80485311297327121853982640517
Composite cofactor 1518153815704622240936737904859078621016147552740776785285576396386699185397561525934124104891750356941221401004594467058163 has 124 digits
software ソフトウェア
GMP-ECM 6.2.1

c124

name 名前Justin Card
date 日付July 28, 2009 21:39:28 UTC 2009 年 7 月 29 日 (水) 6 時 39 分 28 秒 (日本時間)
composite number 合成数
1518153815704622240936737904859078621016147552740776785285576396386699185397561525934124104891750356941221401004594467058163<124>
prime factors 素因数
128613570680091058920064785055072809139946797083167593<54>
11803993992833193782465781270323656372348977417985328398765195618890491<71>
factorization results 素因数分解の結果
Number: 27771_193
N=1518153815704622240936737904859078621016147552740776785285576396386699185397561525934124104891750356941221401004594467058163
  ( 124 digits)
Divisors found:
 r1=128613570680091058920064785055072809139946797083167593 (pp54)
 r2=11803993992833193782465781270323656372348977417985328398765195618890491 (pp71)
Version: Msieve-1.40
Total time: 58.22 hours.
Scaled time: 117.89 units (timescale=2.025).
Factorization parameters were as follows:
# Murphy_E = 1.861264e-10, selected by Jeff Gilchrist
n: 1518153815704622240936737904859078621016147552740776785285576396386699185397561525934124104891750356941221401004594467058163
Y0: -609424693195493084629365
Y1: 14285840635807
c0: 449801078557326487786247371904
c1: 56040688801503068267930764
c2: 249106677690281349198
c3: -2249875713199399
c4: -3915672212
c5: 18060
skew: 221678.63
type: gnfs
# selected mechanically
rlim: 6400000
alim: 6400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5

Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3200000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 884389 x 884637
Total sieving time: 54.32 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.21 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6400000,6400000,27,27,52,52,2.5,2.5,100000
total time: 58.22 hours.
 --------- CPU info (if available) ----------
[    0.138880] CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 3600+ stepping 01
[    0.231790] CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 3600+ stepping 01
[    0.004000] Memory: 986784k/1014720k available (2225k kernel code, 27548k reserved, 1080k data, 392k init)
[    0.084029] Calibrating delay using timer specific routine.. 4004.53 BogoMIPS (lpj=8009076)
[    0.152009] Calibrating delay using timer specific routine.. 4000.15 BogoMIPS (lpj=8000316)
[    0.231806] Total of 2 processors activated (8004.69 BogoMIPS).
software ソフトウェア
GGNFS
execution environment 実行環境
Athlon 64X2 3600 1 GB RAM, Debian Linux

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e60--
403e6500 / 2336Erik BrangerMarch 2, 2009 16:43:13 UTC 2009 年 3 月 3 日 (火) 1 時 43 分 13 秒 (日本時間)

25×10195-619

c195

name 名前Tyler Cadigan
date 日付October 8, 2008 03:14:41 UTC 2008 年 10 月 8 日 (水) 12 時 14 分 41 秒 (日本時間)
composite number 合成数
163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163<195>
prime factors 素因数
119509737931441137246596335232308772579390887315656085068081433412471176766596851200060667993821<96>
1367241662802357158967844931268345670438128299143736962843556968202636908577271893194737300367939703<100>
factorization results 素因数分解の結果
Number: 15557_195
N=163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163
  ( 195 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=119509737931441137246596335232308772579390887315656085068081433412471176766596851200060667993821
 r2=1367241662802357158967844931268345670438128299143736962843556968202636908577271893194737300367939703
Version: 
Total time: 1129.81 hours.
Scaled time: 2875.38 units (timescale=2.545).
Factorization parameters were as follows:
n: 163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163
m: 1000000000000000000000000000000000000000
c5: 25
c0: -61
skew: 1.2
type: snfs
Y0: 1000000000000000000000000000000000000000
Y1: -1
rlambda: 2.6
alambda: 2.6
rlim: 20000000
alim: 20000000
qintsize: 1000000Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [10000000, 26000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1695139 x 1695356
Total sieving time: 1129.81 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,196,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,48,48,2.6,2.6,100000
total time: 1129.81 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS + Msieve 1.38
execution environment 実行環境
C2Q Q6600 2.4 Ghz, 4 Gb RAM, windows vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10198-619

c162

composite cofactor 合成数の残り
513911695328155767302130030458099454497704225628249674790952283656510333009850875507044696505969242638062431183636479780169281575022974132314122673446007181621653<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 20, 2011 20:20:49 UTC 2011 年 4 月 21 日 (木) 5 時 20 分 49 秒 (日本時間)
403e61110110Ignacio SantosApril 20, 2011 20:20:49 UTC 2011 年 4 月 21 日 (木) 5 時 20 分 49 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:15:22 UTC 2013 年 6 月 1 日 (土) 1 時 15 分 22 秒 (日本時間)
4511e6832 / 422032Ignacio SantosApril 20, 2011 20:20:49 UTC 2011 年 4 月 21 日 (木) 5 時 20 分 49 秒 (日本時間)
800Dmitry DomanovJune 3, 2013 19:31:06 UTC 2013 年 6 月 4 日 (火) 4 時 31 分 6 秒 (日本時間)

25×10199-619

c144

name 名前Serge Batalov
date 日付September 3, 2008 20:25:47 UTC 2008 年 9 月 4 日 (木) 5 時 25 分 47 秒 (日本時間)
composite number 合成数
678658238101575110612852174634589813478945224838445266673636798816284445345665880350107903666285157536566150102021139954934451894097864844037449<144>
prime factors 素因数
21631834288992712007555427246085799<35>
composite cofactor 合成数の残り
31373124860100658739370173152893372981358932607827628090607273537011259875274623530665824683543468162744478351<110>
factorization results 素因数分解の結果
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1435650970
Step 1 took 20513ms
Step 2 took 16641ms
********** Factor found in step 2: 21631834288992712007555427246085799
Found probable prime factor of 35 digits: 21631834288992712007555427246085799
Composite cofactor 31373124860100658739370173152893372981358932607827628090607273537011259875274623530665824683543468162744478351 has 110 digits
software ソフトウェア
GMP-ECM 6.2.1

c110

name 名前Serge Batalov
date 日付September 4, 2008 18:02:28 UTC 2008 年 9 月 5 日 (金) 3 時 2 分 28 秒 (日本時間)
composite number 合成数
31373124860100658739370173152893372981358932607827628090607273537011259875274623530665824683543468162744478351<110>
prime factors 素因数
8137130775905265500667125642011561<34>
3855551265441025333983640384610406523731030541038891638539125959121664278391<76>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2054967644
Step 1 took 37534ms
Step 2 took 21049ms
********** Factor found in step 2: 8137130775905265500667125642011561
Found probable prime factor of 34 digits: 8137130775905265500667125642011561
Probable prime cofactor 3855551265441025333983640384610406523731030541038891638539125959121664278391 has 76 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 KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)

25×10200-619

c179

name 名前Robert Backstrom
date 日付September 26, 2012 14:44:53 UTC 2012 年 9 月 26 日 (水) 23 時 44 分 53 秒 (日本時間)
composite number 合成数
17452060167537220043833199220722803963224121543298213451506715374566113059857422581039917085553647686054215092300890439761334409096571559565531004112403827424131475798356427452047<179>
prime factors 素因数
2123029431849520083370025081872906316520466909901590897129673989708817592997<76>
8220357148950829383638963294593126926885203322122284737267580040273679737822235876513934924236194863651<103>
factorization results 素因数分解の結果
Number: n
N=17452060167537220043833199220722803963224121543298213451506715374566113059857422581039917085553647686054215092300890439761334409096571559565531004112403827424131475798356427452047
  ( 179 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Sep 27 00:36:44 2012  prp76 factor: 2123029431849520083370025081872906316520466909901590897129673989708817592997
Thu Sep 27 00:36:44 2012  prp103 factor: 8220357148950829383638963294593126926885203322122284737267580040273679737822235876513934924236194863651
Thu Sep 27 00:36:44 2012  elapsed time 05:07:49 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_27771_200
n: 17452060167537220043833199220722803963224121543298213451506715374566113059857422581039917085553647686054215092300890439761334409096571559565531004112403827424131475798356427452047
m: 10000000000000000000000000000000000000000
#  c179, diff: 201.4
skew: 1.195
deg: 5
c5: 25
c0: -61
# Murphy_E = 1.681e-11
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26950000)
Primes: RFBsize:1025092, AFBsize:1024447,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10961957 hash collisions in 73523823 relations (65727201 unique)
Msieve: matrix is 1693544 x 1693771 (480.1 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,201,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
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.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 20, 2011 21:21:23 UTC 2011 年 4 月 21 日 (木) 6 時 21 分 23 秒 (日本時間)
403e6110 / 2144Ignacio SantosApril 20, 2011 21:21:23 UTC 2011 年 4 月 21 日 (木) 6 時 21 分 23 秒 (日本時間)
4511e632 / 4441Ignacio SantosApril 20, 2011 21:21:23 UTC 2011 年 4 月 21 日 (木) 6 時 21 分 23 秒 (日本時間)

25×10201-619

c145

composite cofactor 合成数の残り
9431261582043973259002047451752317685490087396335049916667818026649098523683349093291355787308269679285883271157781482514263894613890590450264977<145>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaSeptember 1, 2008 17:00:00 UTC 2008 年 9 月 2 日 (火) 2 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosApril 20, 2011 23:17:58 UTC 2011 年 4 月 21 日 (木) 8 時 17 分 58 秒 (日本時間)
403e61110110Ignacio SantosApril 20, 2011 23:17:58 UTC 2011 年 4 月 21 日 (木) 8 時 17 分 58 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:15:35 UTC 2013 年 6 月 1 日 (土) 1 時 15 分 35 秒 (日本時間)
4511e61032 / 422032Ignacio SantosApril 20, 2011 23:17:58 UTC 2011 年 4 月 21 日 (木) 8 時 17 分 58 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:15:35 UTC 2013 年 6 月 1 日 (土) 1 時 15 分 35 秒 (日本時間)

25×10207-619

c144

composite cofactor 合成数の残り
178649760494251582726904133040005514412610463087306750031607503380387699795131790456335235237012223776675635986244807834819496925678821594837559<144>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 09:13:34 UTC 2013 年 5 月 19 日 (日) 18 時 13 分 34 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 09:13:34 UTC 2013 年 5 月 19 日 (日) 18 時 13 分 34 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:15:52 UTC 2013 年 6 月 1 日 (土) 1 時 15 分 52 秒 (日本時間)
4511e6408232Ignacio SantosMay 19, 2013 09:13:34 UTC 2013 年 5 月 19 日 (日) 18 時 13 分 34 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:15:52 UTC 2013 年 6 月 1 日 (土) 1 時 15 分 52 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:50 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 50 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:03 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 3 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:47 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 47 秒 (日本時間)
5043e61000 / 6593Rich DickersonNovember 22, 2015 15:25:59 UTC 2015 年 11 月 23 日 (月) 0 時 25 分 59 秒 (日本時間)

25×10209-619

c190

name 名前Dmitry Domanov
date 日付April 29, 2013 06:15:01 UTC 2013 年 4 月 29 日 (月) 15 時 15 分 1 秒 (日本時間)
composite number 合成数
1375213921589072458861683608404030386247450503687257839430622839216545856782087721887299942656026944392276981692012199372203272621727174432862460081739675012712073979220992832997255600786821<190>
prime factors 素因数
96539385167814987081389944836641029033897<41>
composite cofactor 合成数の残り
14245107519573798035810937994619093050426545143192920607196598629156957518670041998667129850529971925833047190265082746793201684847925748086798215293<149>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=357789799
Step 1 took 32691ms
Step 2 took 11770ms
********** Factor found in step 2: 96539385167814987081389944836641029033897
Found probable prime factor of 41 digits: 96539385167814987081389944836641029033897

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:16:05 UTC 2013 年 6 月 1 日 (土) 1 時 16 分 5 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:16:05 UTC 2013 年 6 月 1 日 (土) 1 時 16 分 5 秒 (日本時間)

25×10210-619

c190

name 名前Dmitry Domanov
date 日付April 29, 2013 10:22:23 UTC 2013 年 4 月 29 日 (月) 19 時 22 分 23 秒 (日本時間)
composite number 合成数
2571508609455309623205661372741851514685187812853807108276192879203710363202905001069854786744301749008036848713425540111870948268145417768278974924958747914546578086180108365956252784500471<190>
prime factors 素因数
38654928602419054645987669371783995383<38>
66524727956537544114603109945094913928627693845559494520806633234056735712970622062792300872689926063360048586578124993507615796990232330126834192251137<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=369651913
Step 1 took 30454ms
Step 2 took 10996ms
********** Factor found in step 2: 38654928602419054645987669371783995383
Found probable prime factor of 38 digits: 38654928602419054645987669371783995383

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)

25×10212-619

c163

composite cofactor 合成数の残り
2482129011952065900663214166239375081470396604224099317043122565414809271066796629735619505774677560854974745168253451780221063000124528068878503357227627615082159<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:16:25 UTC 2013 年 6 月 1 日 (土) 1 時 16 分 25 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:16:25 UTC 2013 年 6 月 1 日 (土) 1 時 16 分 25 秒 (日本時間)

25×10213-619

c188

composite cofactor 合成数の残り
43309054027284205341390324690651572813827850735314784374779314939942363375244285411463053283444620013528610814948637325685808732313848299784363736729824359284264184553158107716399762362887<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:16:37 UTC 2013 年 6 月 1 日 (土) 1 時 16 分 37 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 6, 2013 10:07:32 UTC 2013 年 6 月 6 日 (木) 19 時 7 分 32 秒 (日本時間)

25×10215-619

c170

composite cofactor 合成数の残り
69233990796137831968147199739843997699826855762094106694368763615984118043904984084038131677568010643528702930737451536719350592286139136295769845188860171137039869563011<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:21:07 UTC 2013 年 6 月 1 日 (土) 1 時 21 分 7 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 2, 2013 22:44:15 UTC 2013 年 6 月 3 日 (月) 7 時 44 分 15 秒 (日本時間)

25×10216-619

c203

composite cofactor 合成数の残り
45299096156535252275830405521739804824003562612049705692555098895063242776503165105056577842316029815679606617203110900418322007215295465588084182212793328073929436736844743408870876185157860760672040893<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:21:16 UTC 2013 年 6 月 1 日 (土) 1 時 21 分 16 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 6, 2013 10:08:11 UTC 2013 年 6 月 6 日 (木) 19 時 8 分 11 秒 (日本時間)

25×10217-619

c152

composite cofactor 合成数の残り
46443116719324239451395756342079675183876267741680294205195923231771728696028517332384007131142630405408604169079217535103002802782762507352948082504333<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:21:26 UTC 2013 年 6 月 1 日 (土) 1 時 21 分 26 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:21:39 UTC 2013 年 6 月 1 日 (土) 1 時 21 分 39 秒 (日本時間)

25×10220-619

c187

composite cofactor 合成数の残り
1391046483468567601050468138862532141592053302072898752151900636716970415808720576663282865518819469251975536869576669484026788276119707377466890877919570610595184226555398601808019484787<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:21:52 UTC 2013 年 6 月 1 日 (土) 1 時 21 分 52 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 17:15:49 UTC 2013 年 6 月 8 日 (土) 2 時 15 分 49 秒 (日本時間)

25×10222-619

c211

composite cofactor 合成数の残り
2177358675417934895422639462998367619617352049300623869841201717368066359085969378315117445740501001925368943562344576821669508922469700127121170563400300166837054044183342170986272901777319779128508206919687731<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:22:03 UTC 2013 年 6 月 1 日 (土) 1 時 22 分 3 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 17:16:02 UTC 2013 年 6 月 8 日 (土) 2 時 16 分 2 秒 (日本時間)

25×10225-619

c219

name 名前Dmitry Domanov
date 日付April 29, 2013 06:08:54 UTC 2013 年 4 月 29 日 (月) 15 時 8 分 54 秒 (日本時間)
composite number 合成数
146043954638724322179483335160927381682329501087387789537178587706004709940904131601586179886276273533807636195582788430194620335402092684856347748788812210555121191625669061676529336220119925336955971153421446791914079<219>
prime factors 素因数
4516929422256102982201304369962603<34>
composite cofactor 合成数の残り
32332573964766247251950630074623953172691754899295178753231021766822135501263198514221277467594591073235888738286224538876481284986801398548098776595889635798513373347960356467939664093<185>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3605982086
Step 1 took 37744ms
Step 2 took 11875ms
********** Factor found in step 2: 4516929422256102982201304369962603
Found probable prime factor of 34 digits: 4516929422256102982201304369962603

c185

name 名前Dmitry Domanov
date 日付June 6, 2013 07:10:50 UTC 2013 年 6 月 6 日 (木) 16 時 10 分 50 秒 (日本時間)
composite number 合成数
32332573964766247251950630074623953172691754899295178753231021766822135501263198514221277467594591073235888738286224538876481284986801398548098776595889635798513373347960356467939664093<185>
prime factors 素因数
195346265564818520836589252919312943561<39>
composite cofactor 合成数の残り
165514164661816193875833436465497261027083338810365850505321186552748698436020782103948151546646144723559212841250860918573714836952087164004509813<147>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3779503544
Step 1 took 264639ms
********** Factor found in step 1: 195346265564818520836589252919312943561
Found probable prime factor of 39 digits: 195346265564818520836589252919312943561
Composite cofactor 165514164661816193875833436465497261027083338810365850505321186552748698436020782103948151546646144723559212841250860918573714836952087164004509813 has 147 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:22:13 UTC 2013 年 6 月 1 日 (土) 1 時 22 分 13 秒 (日本時間)
4511e642551000Dmitry DomanovJune 6, 2013 07:10:37 UTC 2013 年 6 月 6 日 (木) 16 時 10 分 37 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:25 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 25 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:32 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 32 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:36:10 UTC 2014 年 5 月 25 日 (日) 2 時 36 分 10 秒 (日本時間)
205Ignacio SantosDecember 22, 2015 09:18:11 UTC 2015 年 12 月 22 日 (火) 18 時 18 分 11 秒 (日本時間)

25×10226-619

c221

composite cofactor 合成数の残り
17808014361522494050876642246180412423640124818509621634543501880490700548052326784471667912159191111549900584979025364524711576056996473229603786639188188186262997446401972615120443080493008466713580099700661524994296093<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:22:24 UTC 2013 年 6 月 1 日 (土) 1 時 22 分 24 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:22:24 UTC 2013 年 6 月 1 日 (土) 1 時 22 分 24 秒 (日本時間)

25×10229-619

c205

composite cofactor 合成数の残り
8633945358025785019707334473506629773014104228166535911910403003261901493125949404324713422112085844382100073319533296112851989768439692362002374720652759068045892910249822158802424656975221092888254241477<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:22:37 UTC 2013 年 6 月 1 日 (土) 1 時 22 分 37 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 17:16:19 UTC 2013 年 6 月 8 日 (土) 2 時 16 分 19 秒 (日本時間)

25×10230-619

c208

name 名前Dmitry Domanov
date 日付June 10, 2013 07:01:58 UTC 2013 年 6 月 10 日 (月) 16 時 1 分 58 秒 (日本時間)
composite number 合成数
2445139926637045170996962307952605413103377856747175041659535573696826920929856290106456074520003648205634414729091387483494738735955903430758412628364396218909934857835837726452491125187682404243258573418663<208>
prime factors 素因数
80199867886133961716861947310005958782491629093<47>
30488079233604249425820626469055138201920459887651100527802415501606400603327138001005421583160650501670847443090883437385298045145531418313269202393295046038491<161>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=924741585
Step 1 took 98400ms
Step 2 took 33577ms
********** Factor found in step 2: 80199867886133961716861947310005958782491629093
Found probable prime factor of 47 digits: 80199867886133961716861947310005958782491629093

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:22:46 UTC 2013 年 6 月 1 日 (土) 1 時 22 分 46 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 17:16:30 UTC 2013 年 6 月 8 日 (土) 2 時 16 分 30 秒 (日本時間)

25×10231-619

c218

composite cofactor 合成数の残り
10566343679860116135405847857510279259156701579239160630722988552689850837417284371759293384531526483255887016694194154827864762995345089130739922021865339780898520687509480815930557717404913683469120383964890837305113<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:22:56 UTC 2013 年 6 月 1 日 (土) 1 時 22 分 56 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 17:16:48 UTC 2013 年 6 月 8 日 (土) 2 時 16 分 48 秒 (日本時間)

25×10232-619

c223

composite cofactor 合成数の残り
4846468716652791838355241765215785609924364642697597183149441354368074329528609791112206643345268057407247554391138561713086201126168589064321028118651455480476716123439743464566833459223237050807293092962721198421902727771<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:23:07 UTC 2013 年 6 月 1 日 (土) 1 時 23 分 7 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:23:07 UTC 2013 年 6 月 1 日 (土) 1 時 23 分 7 秒 (日本時間)

25×10233-619

c212

composite cofactor 合成数の残り
17279023945866591364029870030319622537861172485798994845310257917591726076983677099010505370488092073283575690020350331026453660390862361832221088257078834849107049901090868439936755580720148553553712085215014327<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:23:17 UTC 2013 年 6 月 1 日 (土) 1 時 23 分 17 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 17:17:03 UTC 2013 年 6 月 8 日 (土) 2 時 17 分 3 秒 (日本時間)

25×10234-619

c219

composite cofactor 合成数の残り
728532723387811665758486141988521806562616632574064920125745732809600855621724392869609272537891864468748584309370470949636615035862845556101063225725673078300636737899813623651857328706714110882227869474028275807911109<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:23:30 UTC 2013 年 6 月 1 日 (土) 1 時 23 分 30 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:23:30 UTC 2013 年 6 月 1 日 (土) 1 時 23 分 30 秒 (日本時間)

25×10235-619

c235

name 名前matsui
date 日付June 14, 2014 07:05:52 UTC 2014 年 6 月 14 日 (土) 16 時 5 分 52 秒 (日本時間)
composite number 合成数
1322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751<235>
prime factors 素因数
26652650614963713338637393616055537096643812123838342932868793948113312702068856959000917600141726276401358614637<113>
49629259838369874322842581997404831258085804484906314797325286628980122800924811784359721405911530950190290718487424535323<122>
factorization results 素因数分解の結果
N=1322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751
  ( 235 digits)
SNFS difficulty: 236 digits.
Divisors found:
 r1=26652650614963713338637393616055537096643812123838342932868793948113312702068856959000917600141726276401358614637 (pp113)
 r2=49629259838369874322842581997404831258085804484906314797325286628980122800924811784359721405911530950190290718487424535323 (pp122)
Version: Msieve v. 1.53 (SVN Unversioned directory)
Total time:
Scaled time: 93.93 units (timescale=1.894).
Factorization parameters were as follows:
n: 1322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751
m: 1000000000000000000000000000000000000000
deg: 6
c6: 250
c0: -61
skew: 0.79
# Murphy_E = 7.947e-13
type: snfs
lss: 1
rlim: 61000000
alim: 61000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
#qintsize: 800000
Factor base limits: 61000000/61000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [30500000, 64400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7987566 x 7987792
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,236.000,6,0,0,0,0,0,0,0,0,61000000,61000000,30,30,60,60,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:23:44 UTC 2013 年 6 月 1 日 (土) 1 時 23 分 44 秒 (日本時間)
4511e630501000Dmitry DomanovMay 31, 2013 16:23:44 UTC 2013 年 6 月 1 日 (土) 1 時 23 分 44 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:45 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 45 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:25 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 25 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:33 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 33 秒 (日本時間)
5043e6760 / 6830Serge BatalovFebruary 24, 2014 02:26:40 UTC 2014 年 2 月 24 日 (月) 11 時 26 分 40 秒 (日本時間)

25×10236-619

c229

composite cofactor 合成数の残り
2067681137032876890158408715839063520812885052420675123150034004298260810620842326929545377219819150798675790503218778662221767563952362336988599070046513802222757718553815544810743007545085086249096426444638338348316110628791403<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:24:03 UTC 2013 年 6 月 1 日 (土) 1 時 24 分 3 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:24:03 UTC 2013 年 6 月 1 日 (土) 1 時 24 分 3 秒 (日本時間)

25×10238-619

c198

name 名前Dmitry Domanov
date 日付April 29, 2013 06:15:29 UTC 2013 年 4 月 29 日 (月) 15 時 15 分 29 秒 (日本時間)
composite number 合成数
271849616054718625655249978037452594826558764143509682869561967333739688981257130869588920677209838242591468414902061026632451113963914913706346866020499005523456407807647946653252373217757729044747<198>
prime factors 素因数
274235423210869950531290937790937377<36>
991300149600597775974807670757893270891008451713000118080507080130582909855013154024999054615739600841808704181989244699829424148174564863146149580788420290416811<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=328408207
Step 1 took 37759ms
Step 2 took 12773ms
********** Factor found in step 2: 274235423210869950531290937790937377
Found probable prime factor of 36 digits: 274235423210869950531290937790937377

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)

25×10239-619

c201

composite cofactor 合成数の残り
830022697878271666440471919787007642391331130526101988476352996786025878036103318674245687437821624564963687888953967824651939520010651579370712152881502429861197113245689268649216843090753339099272509<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:24:15 UTC 2013 年 6 月 1 日 (土) 1 時 24 分 15 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 11, 2013 14:16:09 UTC 2013 年 6 月 11 日 (火) 23 時 16 分 9 秒 (日本時間)

25×10240-619

c182

composite cofactor 合成数の残り
56773751057571394927762010132568247118603005738105996347032022497984695656622466033402339880681823101978921241682715110861443686407195823268946596402453071403280896558644844919354183<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:24:26 UTC 2013 年 6 月 1 日 (土) 1 時 24 分 26 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 11, 2013 14:15:56 UTC 2013 年 6 月 11 日 (火) 23 時 15 分 56 秒 (日本時間)

25×10241-619

c232

name 名前Dmitry Domanov
date 日付June 3, 2013 05:44:26 UTC 2013 年 6 月 3 日 (月) 14 時 44 分 26 秒 (日本時間)
composite number 合成数
2094798041884872468359916674380033560987175480655538928985130383356277824288901300646051463133135126205517457544426999796729571029691389516251177249193846822357905648099487728317537325152296022533139703954271681088168922925134627001<232>
prime factors 素因数
142674576710748512959531512869457685241<39>
14682349793346602873290710688674491910144474678401696515810983655136620817390092646589666016375789923416137917615736004046997765543142105422457223129626914383192216163790004781905964214142055361<194>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3679054576
Step 1 took 147624ms
Step 2 took 44540ms
********** Factor found in step 2: 142674576710748512959531512869457685241
Found probable prime factor of 39 digits: 142674576710748512959531512869457685241

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:24:36 UTC 2013 年 6 月 1 日 (土) 1 時 24 分 36 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 31, 2013 16:24:36 UTC 2013 年 6 月 1 日 (土) 1 時 24 分 36 秒 (日本時間)

25×10242-619

c197

name 名前Dmitry Domanov
date 日付April 29, 2013 08:48:25 UTC 2013 年 4 月 29 日 (月) 17 時 48 分 25 秒 (日本時間)
composite number 合成数
23760382656887944424897675586919265470938496571203110970833254303413897770369848236782662840731988259701375796778241284945769005157354705328299731800867756035457601342268589403275031716376478770663<197>
prime factors 素因数
355659960331536714503178390111081101<36>
66806459278517464850717572677891394584364118338510037122125713087660368151907514468430812617449144797341267181132929985267154290548809718484710494832902222231363<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2626778076
Step 1 took 37368ms
Step 2 took 12613ms
********** Factor found in step 2: 355659960331536714503178390111081101
Found probable prime factor of 36 digits: 355659960331536714503178390111081101

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)

25×10243-619

c241

name 名前Dmitry Domanov
date 日付April 29, 2013 06:10:56 UTC 2013 年 4 月 29 日 (月) 15 時 10 分 56 秒 (日本時間)
composite number 合成数
5634437683119224701374802794681090827135451881902186161821050259184133423484336263240928555330178048230786567500563443768311922470137480279468109082713545188190218616182105025918413342348433626324092855533017804823078656750056344376831192247<241>
prime factors 素因数
250695744070452431069193919814308690986951173<45>
22475202776221809441714654500019436502157298167656465589482466715397341122137965274527343736509113468015152266381648421260974411235571430349032849284436145087024987101205917428851739135116528870539<197>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3799521970
Step 1 took 31016ms
Step 2 took 9841ms
********** Factor found in step 2: 250695744070452431069193919814308690986951173
Found probable prime factor of 45 digits: 250695744070452431069193919814308690986951173

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)

25×10245-619

c224

composite cofactor 合成数の残り
21363544390693438041316670216575014346315006468020025981420752642278924269621473430555515003329570911767898649916859552207862198504427975004644806099364070100178414772173339246864714982055485473265399475108499815914417267157<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:24:50 UTC 2013 年 6 月 1 日 (土) 1 時 24 分 50 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 13, 2013 15:22:36 UTC 2013 年 6 月 14 日 (金) 0 時 22 分 36 秒 (日本時間)

25×10246-619

c195

composite cofactor 合成数の残り
470512028267255915941261084864702806369636557782332800673843641416459063436252055676659787044209708249450219023872044372801149496461048214078869697777631540750817284721467721833669729790107226073<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:25:03 UTC 2013 年 6 月 1 日 (土) 1 時 25 分 3 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 11, 2013 14:16:20 UTC 2013 年 6 月 11 日 (火) 23 時 16 分 20 秒 (日本時間)

25×10248-619

c211

name 名前Dmitry Domanov
date 日付April 29, 2013 06:09:34 UTC 2013 年 4 月 29 日 (月) 15 時 9 分 34 秒 (日本時間)
composite number 合成数
1530194572272345283794643508299546029750864288486590325049022021881798096402711067147022633620067903446579821611513354323137766271325491961573578389888300373970552863455572993944147245215327909410363437506921757<211>
prime factors 素因数
67281996249496000253046689458569970643<38>
composite cofactor 合成数の残り
22743001955501695611850622070364501049440767305657711848356831620997565661171600239325103382195956567511267496637426872398602578035872421310133844319467218370932625955646799<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1502153175
Step 1 took 28836ms
Step 2 took 10120ms
********** Factor found in step 2: 67281996249496000253046689458569970643
Found probable prime factor of 38 digits: 67281996249496000253046689458569970643

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
300Ignacio SantosMay 19, 2013 19:24:48 UTC 2013 年 5 月 20 日 (月) 4 時 24 分 48 秒 (日本時間)
403e61110110Ignacio SantosMay 19, 2013 19:24:48 UTC 2013 年 5 月 20 日 (月) 4 時 24 分 48 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:25:24 UTC 2013 年 6 月 1 日 (土) 1 時 25 分 24 秒 (日本時間)
4511e6188232Ignacio SantosMay 19, 2013 19:24:48 UTC 2013 年 5 月 20 日 (月) 4 時 24 分 48 秒 (日本時間)
1000Dmitry DomanovMay 31, 2013 16:25:24 UTC 2013 年 6 月 1 日 (土) 1 時 25 分 24 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:30 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 30 秒 (日本時間)
5043e6800 / 7087Dmitry DomanovJune 27, 2013 05:34:34 UTC 2013 年 6 月 27 日 (木) 14 時 34 分 34 秒 (日本時間)

25×10249-619

c220

composite cofactor 合成数の残り
5223136259395323506866600100646588094995313491344577018920139063679140618924326424672337376776749434345644559604895528068253608175914903390706749434870670510937763789140404554133278332175443430687450825227854381336547429<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:25:46 UTC 2013 年 6 月 1 日 (土) 1 時 25 分 46 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovJune 7, 2013 17:17:22 UTC 2013 年 6 月 8 日 (土) 2 時 17 分 22 秒 (日本時間)

25×10250-619

c196

composite cofactor 合成数の残り
5146530892122154846045712485855261270587275171593319632281781032250314084512826074593983453417869380405899433496827539575601878274982796454598424279132721720723367181325260227129750472723089970729<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaApril 26, 2013 14:00:00 UTC 2013 年 4 月 26 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 31, 2013 16:26:01 UTC 2013 年 6 月 1 日 (土) 1 時 26 分 1 秒 (日本時間)
4511e61000Dmitry DomanovMay 31, 2013 16:26:01 UTC 2013 年 6 月 1 日 (土) 1 時 26 分 1 秒 (日本時間)
5043e6940 / 7291500Dmitry DomanovJune 4, 2013 05:44:25 UTC 2013 年 6 月 4 日 (火) 14 時 44 分 25 秒 (日本時間)
440Dmitry DomanovJune 4, 2013 12:39:42 UTC 2013 年 6 月 4 日 (火) 21 時 39 分 42 秒 (日本時間)

25×10251-619

c216

composite cofactor 合成数の残り
586614214811978001449826046263894396182966886739127428140011279722012229382984113545203168124642493295974084124099156812426130955152023460680800283744908342446879478982593692527919758045038305124477459428740479297727<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10254-619

c210

composite cofactor 合成数の残り
706963859785165136623694131824201148371787253362803486769801289729478676087025452863078898081039848546228804169149456961214980397500377649002574968273428765044493051677008184639902756518003957677343780543354633<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10255-619

c216

composite cofactor 合成数の残り
682392447803330005122115687608397674945506600218597558673587624732731987290693535874221375178320665667534218513264471009893385954138150670644001396202562461225959355506084915203265681099179744941264022914110243221027<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10256-619

c246

composite cofactor 合成数の残り
206621116242033509280073644240878385380567250276869653700111515552815518981088128298046254057576045625887567514823421582616880745485433319701266913793922245537572873614843276896388126163838644383829126136593961699555078040178414944574526469585293<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10257-619

c220

composite cofactor 合成数の残り
2307529726185351565352001003960907837447950769736981348678365577410798760112332064574328881580238260528936752902423191679199862727837387584446739303237221736131728005298946581801031407476992650748281505864136794792751119<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10258-619

c213

composite cofactor 合成数の残り
418404516010589981290956898484738147887200073567907686521900000881258988866272939741275900616871824510842356612614851718537050802012040571274687702259592160095461817924019726450175591978175301171916478610131521227<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10259-619

c194

composite cofactor 合成数の残り
24273515966368211398713881912100837291219847935814407224565162552511952992042051198955780654000945877796141264046439631569613267726334515903938932375205470606638736514926539591370405709271203673<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovFebruary 8, 2017 06:45:08 UTC 2017 年 2 月 8 日 (水) 15 時 45 分 8 秒 (日本時間)
4511e6320 / 4218Dmitry DomanovFebruary 8, 2017 06:45:08 UTC 2017 年 2 月 8 日 (水) 15 時 45 分 8 秒 (日本時間)

25×10261-619

c229

composite cofactor 合成数の残り
8564008155982297675439984629881576877750665376464706620640899635177205915141471965345391655481818330728264594065750208647580647819187946641270525256676328039938383957026854246395408435955403241289808777153370857309469218598883633<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10262-619

c250

composite cofactor 合成数の残り
1879797389331961603565999873886195334033417240329946427846248221799119191773205359394940131822310901094235711449982797884821276916335975728049725815466284459054402701106085049102972954546431747315136872691140088887093191300799200652902904861814918517<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10265-619

c216

composite cofactor 合成数の残り
150440265556444774275925609554844479366135957270172297721819221707440259012775012470811440068831885889804941577344663614585052966382005005973710906030563906432344615943446603502516354088468765251062740314273718305791<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10266-619

c249

composite cofactor 合成数の残り
544782255438124765650677328324551020154493818508106718909694180043864386849430748254082217208351241857025257875839788801739541401983944164088963518145189349447341942489977816083180567443711686206098154276170025083461046325757267470354060342084492783<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10267-619

c221

composite cofactor 合成数の残り
49185880355697948791538438907212344906250718656768005856089272199257523101568912490453700313769076444101671456704414815442983847925574722464570517732485456858272840366766858365597779597166282620129976250742285092475929019<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10268-619

c256

composite cofactor 合成数の残り
6198387883411762149957178117791711549500823176550626909209568267106466724530699656310028028176011651970970147966759221479674714602808262498309966555598375830049548680668830619281905730379454082813676425394140570722706764719209468364925212587704492289047397<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10269-619

c244

composite cofactor 合成数の残り
6598823126522135610580897777432171322571074390949498094831068893388286943709362322852632662250309473894860626475370234157087735131585589539594782458790464952538912156749181184742936628256471574443179926337193775910671122526512902486435667241611<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10270-619

c271

name 名前Dmitry Domanov
date 日付May 7, 2016 20:45:13 UTC 2016 年 5 月 8 日 (日) 5 時 45 分 13 秒 (日本時間)
composite number 合成数
2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<271>
prime factors 素因数
58427761189120521071710276808997181293371759<44>
composite cofactor 合成数の残り
47542088234163093774817542242681934210306250292851107081173205500317847131337537201915037918169216727499429913176029973172914489964896490239469519271383548326209706527068517161485521571740512806151031749206955884038296787369669<227>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3258934975
Step 1 took 517667ms
Step 2 took 113055ms
********** Factor found in step 2: 58427761189120521071710276808997181293371759
Found probable prime factor of 44 digits: 58427761189120521071710276808997181293371759
Composite cofactor 47542088234163093774817542242681934210306250292851107081173205500317847131337537201915037918169216727499429913176029973172914489964896490239469519271383548326209706527068517161485521571740512806151031749206955884038296787369669 has 227 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61100600Dmitry DomanovApril 26, 2016 16:20:24 UTC 2016 年 4 月 27 日 (水) 1 時 20 分 24 秒 (日本時間)
500Serge BatalovMay 1, 2016 20:53:33 UTC 2016 年 5 月 2 日 (月) 5 時 53 分 33 秒 (日本時間)
4511e61500 / 2091500Serge BatalovMay 1, 2016 20:53:33 UTC 2016 年 5 月 2 日 (月) 5 時 53 分 33 秒 (日本時間)
1000Dmitry DomanovMay 4, 2016 09:09:36 UTC 2016 年 5 月 4 日 (水) 18 時 9 分 36 秒 (日本時間)
5043e6600 / 7170Dmitry DomanovMay 6, 2016 17:07:12 UTC 2016 年 5 月 7 日 (土) 2 時 7 分 12 秒 (日本時間)

25×10271-619

c228

composite cofactor 合成数の残り
209258265167240030627669608459895504520246182583362911762401707775353745413909337704869395235520411238497675458125947789791244766418843933445519987114744195715036571208662808946602582089421932529942763185493167145415487179743221<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10272-619

c264

composite cofactor 合成数の残り
259825092592498968950895095464113953393193690198053245132891227406596374120317082365784571670580121551933960222126712388925886267228449631574301274575348652699987275294736363844394722589487329027552847325032997716606472369082042060382266696770168182492856408657501<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10275-619

c218

composite cofactor 合成数の残り
15599442177794488782677916888560166247067184526479624676304185354627581921311841565679323757745028946675925893353640606215940465243534593684124549362694964112349163903501765990706998992742572826604664772464721658905017<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10277-619

c208

composite cofactor 合成数の残り
8250290056385184156444253199044928977797844838879673104353222941881327768716857055371759663847719564014868858367794727644179760432745408053038996407812274733774093236019892376028764718958935453991243475488707<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10279-619

c221

composite cofactor 合成数の残り
23075074721488875372184906366657125661410664990878573031465911161348439457771192507494633117096796236960707625304253848560592961671660904639479691302405527348778088078620239389741510890735015866725243850569416113343631389<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10280-619

c202

composite cofactor 合成数の残り
1970204425996146123003261379940463633106562105781289272092304212192554965955021488056407203829371351768667186709257925011170726694363369481294399707068793115308580632204577611071316703217482773686781753<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10282-619

c249

composite cofactor 合成数の残り
191752757006846349891963466421111572695591032658044550022131442495204283596873234138586903450780448250001150998804036665349577561885450392445902343380105831228519501390661955201564659523906385799394460693523106139210740951299437012701934699178873561<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10283-619

c269

composite cofactor 合成数の残り
47278332829704091642209989022599472403257939982223765707766321219426834194411900970267754129604927250938203337316135704928639273363304531776717517852448826910166423153545106032321711603299179835127595028931567881217863842831004695919436884156270414405534480167708707049<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10284-619

c263

composite cofactor 合成数の残り
24156233835407072580483219743255173594019488132720301567666052107628702532245812547015220385984262158723014559822243621058364819501658495918757747473083555643143109322733431796716425749837666297732520369343083530799268220984316777629224457381608975170477030003653<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10285-619

c278

composite cofactor 合成数の残り
94042123400577175632832676766963757395712391636060563563825424279785639180181544858474673096319120194256118509386150609837402710931225832796512680325818641668434564544474116991388288157208818341948663917032969201103020817702356897614899528461132046204369807198487438524616911981<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10286-619

c286

composite cofactor 合成数の残り
3086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10287-619

c233

composite cofactor 合成数の残り
40193790968864913965639831322317666545404037861700416257354676186402202298495135423127293155508695883121321088810226617454929117477382319488823129877765890862529002155119299486116934876520694047970843395919650785081890856094333176183<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10288-619

c274

composite cofactor 合成数の残り
1914515693898662640080390605477821732641336787256029905876317858840605487526445772711267359690501164473818649168320278063598513839128647984158738071816272123753215147104974325554495431573891558417373258880376201454839135208519810746360206099685416358335728059258251835822131<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10289-619

c229

composite cofactor 合成数の残り
9591178989257003707710820797731919872766340980667249298744670187515909648807476291847803239193319989395513176494421264474511298620715814320382162131468621630946910089914882213168892677339786297511047502868644266679714754921966309<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10290-619

c260

composite cofactor 合成数の残り
20565763442829873974225333286464567081571965756014816344746973424955855850068739706224083588398437675432832494942453367633493406136838500138838990336251688210625597729738259332529157742949820886671587282777720591099338797723496589255791929332371268339838198441<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10292-619

c219

composite cofactor 合成数の残り
189044871114953873370939072795811381116865130173780627087230853925086992204647032562121017065936130162632596619876411367578672026109757263214542060802804618542531895049079478498732584037873454028356159998986977978660113<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10293-619

c284

composite cofactor 合成数の残り
10034333770596000092709553726905256082165223834628266010945296804418318838063753997354359864151594874490712763360850857982376251192422171659598867859066993782333622445451833604727890907732748222411048531858907196840432606781485832329938779111091759986736653906177121552592847121522909<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10294-619

c264

composite cofactor 合成数の残り
232013342946389870295628111621756989959078436628070222376605350727540761671604480166282958851248206524894650162393285140826705706760856893727516298222310115342025238119404493015089572408332426997194259983627818967178947039565552040849284609948987949600337612675453<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10295-619

c254

composite cofactor 合成数の残り
84367093056469548830335127924440181269185499857856406816720804418797720619439851266252859363551268541532997194622524652450968060266832347651732041240840278353336165223518476301793337143078095955769327827480618787361079978529784392358078684545924584418961<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10296-619

c281

composite cofactor 合成数の残り
63759021581386584840193026966536456778269227295528051518614120035086506492363026672314703606800787021862625922399794843543455414924306284039771279141995489630449599106714714306619224564226061951952117703045486256570529221051025083093846535084941730348308322912646427823275488392239<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10297-619

c291

composite cofactor 合成数の残り
242738117816207882399945556753031238366472281010966976129609260665036612238857842198143960268314171052289062687439340351203024190707959605231309376110314493156061880082650969782959013193040022379289319688848959439460593957065627444585242262302557664551708865183472683946533026322045729278663<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10298-619

c285

composite cofactor 合成数の残り
554442894680303834963956419953558354682056468121528091560796022130904482603102779526855967678712269834709528148964503916482191553046988122475750177552876996100479921869730301244282898941245328915191438723672217869961388746571773798809258750479114726086261847604758895977104391327039869<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10299-619

c260

composite cofactor 合成数の残り
14393762440324238777135030691543422345191448233047710752775232959279247584435593349297446121510075655288508188287971977344396252296981717682355958048031356003557272267451089089136880703711991644447309808698321157392036168916910106348370475299929542859746385099<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)

25×10300-619

c287

composite cofactor 合成数の残り
71054323658781786943860382693904640938661368094299824572236474348031044269828724636280508952319617958909152459188930831277992942601369757593301219817704829563346018224442731462497022147790309543423465091677614233482187595516510255144054854180573575384804586390649176131861386657375527359<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaApril 25, 2016 14:00:00 UTC 2016 年 4 月 25 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovApril 27, 2016 06:52:34 UTC 2016 年 4 月 27 日 (水) 15 時 52 分 34 秒 (日本時間)
4511e61200Dmitry DomanovApril 30, 2016 16:54:14 UTC 2016 年 5 月 1 日 (日) 1 時 54 分 14 秒 (日本時間)
5043e6600 / 6944Dmitry DomanovMay 6, 2016 17:11:35 UTC 2016 年 5 月 7 日 (土) 2 時 11 分 35 秒 (日本時間)
5511e7120 / 17470Dmitry DomanovMay 11, 2016 15:00:10 UTC 2016 年 5 月 12 日 (木) 0 時 0 分 10 秒 (日本時間)