Table of contents 目次

29×10102+349

c100

name 名前Dmitry Domanov
date 日付June 12, 2022 19:00:12 UTC 2022 年 6 月 13 日 (月) 4 時 0 分 12 秒 (日本時間)
composite number 合成数
1090799668998721131422553223501090799668998721131422553223501090799668998721131422553223501090799669<100>
prime factors 素因数
128906578917970390645340856879299798671599865067<48>
8461939477059977839521688643207553935355656135712607<52>
factorization results 素因数分解の結果
N=1090799668998721131422553223501090799668998721131422553223501090799668998721131422553223501090799669
  ( 100 digits)
SNFS difficulty: 103 digits.
Divisors found:
p48 factor: 128906578917970390645340856879299798671599865067
p52 factor: 8461939477059977839521688643207553935355656135712607
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.07 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1090799668998721131422553223501090799668998721131422553223501090799668998721131422553223501090799669
m: 10000000000000000000000000
deg: 4
c4: 1450
c0: 17
skew: 0.33
# Murphy_E = 2.268e-07
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 30879 x 31104
Total sieving time: 0.06 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,103.000,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.07 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10112+349

c112

name 名前Dmitry Domanov
date 日付June 12, 2022 21:38:06 UTC 2022 年 6 月 13 日 (月) 6 時 38 分 6 秒 (日本時間)
composite number 合成数
5370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371<112>
prime factors 素因数
68902497484421572071875654651413755458428794347003<50>
77941592343362849065009534932339223537964497614113286547930457<62>
factorization results 素因数分解の結果
N=5370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371
  ( 112 digits)
SNFS difficulty: 113 digits.
Divisors found:
p50 factor: 68902497484421572071875654651413755458428794347003
p62 factor: 77941592343362849065009534932339223537964497614113286547930457
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.37 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371
m: 10000000000000000000000000000
deg: 4
c4: 29
c0: 34
skew: 1.04
# Murphy_E = 7.336e-08
type: snfs
lss: 1
rlim: 540000
alim: 540000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 540000/540000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [270000, 590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64517 x 64743
Total sieving time: 0.35 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,540000,540000,25,25,45,45,2.2,2.2,20000
total time: 0.37 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10116+349

c96

name 名前Dmitry Domanov
date 日付June 12, 2022 22:17:01 UTC 2022 年 6 月 13 日 (月) 7 時 17 分 1 秒 (日本時間)
composite number 合成数
818450465350847953006051988501984223411421827297676160052683341827660472429825812772902783933401<96>
prime factors 素因数
1164014813498746012104211980987309793483<40>
703127190358329289416694155961167687524104174550327235947<57>
factorization results 素因数分解の結果
N=818450465350847953006051988501984223411421827297676160052683341827660472429825812772902783933401
  ( 96 digits)
SNFS difficulty: 117 digits.
Divisors found:
p40 factor: 1164014813498746012104211980987309793483
p57 factor: 703127190358329289416694155961167687524104174550327235947
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.63 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 818450465350847953006051988501984223411421827297676160052683341827660472429825812772902783933401
m: 100000000000000000000000000000
deg: 4
c4: 29
c0: 34
skew: 1.04
# Murphy_E = 4.773e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 81077 x 81303
Total sieving time: 0.61 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,20000
total time: 0.63 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
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10118+349

c85

name 名前Eric Jeancolas
date 日付June 12, 2022 21:24:39 UTC 2022 年 6 月 13 日 (月) 6 時 24 分 39 秒 (日本時間)
composite number 合成数
4015203686941697555882640986356262429615638112880809189704591516342151826591139328183<85>
prime factors 素因数
14893617147212067479063612809457577734189<41>
269592245272217336664204147136457089929301747<45>
factorization results 素因数分解の結果
Sun Jun 12 23:14:32 2022  Msieve v. 1.53 (SVN 1005)
Sun Jun 12 23:14:32 2022  random seeds: 60407af8 b2ee00db
Sun Jun 12 23:14:32 2022  factoring 4015203686941697555882640986356262429615638112880809189704591516342151826591139328183 (85 digits)
Sun Jun 12 23:14:32 2022  searching for 15-digit factors
Sun Jun 12 23:14:32 2022  commencing quadratic sieve (85-digit input)
Sun Jun 12 23:14:32 2022  using multiplier of 7
Sun Jun 12 23:14:32 2022  using generic 32kb sieve core
Sun Jun 12 23:14:32 2022  sieve interval: 12 blocks of size 32768
Sun Jun 12 23:14:32 2022  processing polynomials in batches of 17
Sun Jun 12 23:14:32 2022  using a sieve bound of 1433177 (54706 primes)
Sun Jun 12 23:14:32 2022  using large prime bound of 116087337 (26 bits)
Sun Jun 12 23:14:32 2022  using double large prime bound of 328558507290990 (41-49 bits)
Sun Jun 12 23:14:32 2022  using trial factoring cutoff of 49 bits
Sun Jun 12 23:14:32 2022  polynomial 'A' values have 11 factors
Sun Jun 12 23:22:51 2022  55055 relations (16750 full + 38305 combined from 564688 partial), need 54802
Sun Jun 12 23:22:51 2022  begin with 581438 relations
Sun Jun 12 23:22:52 2022  reduce to 127300 relations in 9 passes
Sun Jun 12 23:22:52 2022  attempting to read 127300 relations
Sun Jun 12 23:22:52 2022  recovered 127300 relations
Sun Jun 12 23:22:52 2022  recovered 106205 polynomials
Sun Jun 12 23:22:52 2022  attempting to build 55055 cycles
Sun Jun 12 23:22:52 2022  found 55055 cycles in 6 passes
Sun Jun 12 23:22:52 2022  distribution of cycle lengths:
Sun Jun 12 23:22:52 2022     length 1 : 16750
Sun Jun 12 23:22:52 2022     length 2 : 11313
Sun Jun 12 23:22:52 2022     length 3 : 9597
Sun Jun 12 23:22:52 2022     length 4 : 6955
Sun Jun 12 23:22:52 2022     length 5 : 4455
Sun Jun 12 23:22:52 2022     length 6 : 2694
Sun Jun 12 23:22:52 2022     length 7 : 1568
Sun Jun 12 23:22:52 2022     length 9+: 1723
Sun Jun 12 23:22:52 2022  largest cycle: 18 relations
Sun Jun 12 23:22:52 2022  matrix is 54706 x 55055 (12.4 MB) with weight 2819466 (51.21/col)
Sun Jun 12 23:22:52 2022  sparse part has weight 2819466 (51.21/col)
Sun Jun 12 23:22:52 2022  filtering completed in 3 passes
Sun Jun 12 23:22:52 2022  matrix is 49080 x 49144 (11.2 MB) with weight 2541696 (51.72/col)
Sun Jun 12 23:22:52 2022  sparse part has weight 2541696 (51.72/col)
Sun Jun 12 23:22:52 2022  saving the first 48 matrix rows for later
Sun Jun 12 23:22:52 2022  matrix includes 64 packed rows
Sun Jun 12 23:22:52 2022  matrix is 49032 x 49144 (6.5 MB) with weight 1886585 (38.39/col)
Sun Jun 12 23:22:52 2022  sparse part has weight 1224774 (24.92/col)
Sun Jun 12 23:22:52 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun Jun 12 23:22:52 2022  commencing Lanczos iteration
Sun Jun 12 23:22:52 2022  memory use: 4.1 MB
Sun Jun 12 23:22:55 2022  lanczos halted after 776 iterations (dim = 49024)
Sun Jun 12 23:22:55 2022  recovered 14 nontrivial dependencies
Sun Jun 12 23:22:55 2022  p41 factor: 14893617147212067479063612809457577734189
Sun Jun 12 23:22:55 2022  p45 factor: 269592245272217336664204147136457089929301747
Sun Jun 12 23:22:55 2022  elapsed time 00:08:23
software ソフトウェア
Msieve 1.53
execution environment 実行環境
Windows 10 21H1
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10122+349

c117

name 名前Dmitry Domanov
date 日付June 13, 2022 07:51:02 UTC 2022 年 6 月 13 日 (月) 16 時 51 分 2 秒 (日本時間)
composite number 合成数
171731136311767100364768777052835512009276797548295236853359730185513448265284574481629565042931007548945446466016007<117>
prime factors 素因数
5140972927208007159556251880616748189657127169<46>
33404403941304541552639916109295875224284132290177197159610143945450503<71>
factorization results 素因数分解の結果
N=171731136311767100364768777052835512009276797548295236853359730185513448265284574481629565042931007548945446466016007
  ( 117 digits)
SNFS difficulty: 123 digits.
Divisors found:
p46 factor: 5140972927208007159556251880616748189657127169
p71 factor: 33404403941304541552639916109295875224284132290177197159610143945450503
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.91 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 171731136311767100364768777052835512009276797548295236853359730185513448265284574481629565042931007548945446466016007
m: 1000000000000000000000000000000
deg: 4
c4: 1450
c0: 17
skew: 0.33
# Murphy_E = 2.703e-08
type: snfs
lss: 1
rlim: 790000
alim: 790000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 790000/790000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [395000, 770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73177 x 73402
Total sieving time: 0.90 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123.000,4,0,0,0,0,0,0,0,0,790000,790000,25,25,46,46,2.2,2.2,75000
total time: 0.91 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
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10123+349

c85

name 名前Ignacio Santos
date 日付June 12, 2022 17:46:13 UTC 2022 年 6 月 13 日 (月) 2 時 46 分 13 秒 (日本時間)
composite number 合成数
5755320919678514487368837713477724412651267052760027451893155060119510899854464510727<85>
prime factors 素因数
2101625572753497319893144029<28>
2738509177987417047498954790873284325129795665543312346163<58>
factorization results 素因数分解の結果
2101625572753497319893144029 × 2738509177987417047498954790873284325129795665543312346163 (58 dígitos) 
software ソフトウェア
Alpertron

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10124+349

c100

name 名前Dmitry Domanov
date 日付June 13, 2022 08:26:03 UTC 2022 年 6 月 13 日 (月) 17 時 26 分 3 秒 (日本時間)
composite number 合成数
1484060030739420814143689450661634660659401937906144755643250568417273597058457163050620927510038033<100>
prime factors 素因数
68008141488209937154066784671279918236140777<44>
21821799541407865147266887132292758070681892990433271529<56>
factorization results 素因数分解の結果
N=1484060030739420814143689450661634660659401937906144755643250568417273597058457163050620927510038033
  ( 100 digits)
SNFS difficulty: 125 digits.
Divisors found:
p44 factor: 68008141488209937154066784671279918236140777
p56 factor: 21821799541407865147266887132292758070681892990433271529
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.88 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1484060030739420814143689450661634660659401937906144755643250568417273597058457163050620927510038033
m: 10000000000000000000000000000000
deg: 4
c4: 29
c0: 34
skew: 1.04
# Murphy_E = 1.99e-08
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 860000/860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [430000, 805001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 105810 x 106035
Total sieving time: 0.85 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,75000
total time: 0.88 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10125+349

c94

name 名前Eric Jeancolas
date 日付June 13, 2022 08:17:01 UTC 2022 年 6 月 13 日 (月) 17 時 17 分 1 秒 (日本時間)
composite number 合成数
1643478080914643404700047735031040263405540740072340249677526070738178834321832127516310757431<94>
prime factors 素因数
431491628621688866414206399718654119<36>
3808829585325665825975290341683918633863680563661606782449<58>
factorization results 素因数分解の結果
fac: using pretesting plan: normal
fac: no tune info: using qs/gnfs crossover of 95 digits
div: primes less than 10000
fmt: 1000000 iterations
rho: x^2 + 3, starting 1000 iterations on C126
rho: x^2 + 2, starting 1000 iterations on C126
rho: x^2 + 2, starting 1000 iterations on C121
rho: x^2 + 1, starting 1000 iterations on C121
pm1: starting B1 = 150K, B2 = gmp-ecm default on C121
ecm: 30/30 curves on C121, B1=2K, B2=gmp-ecm default
ecm: 74/74 curves on C121, B1=11K, B2=gmp-ecm default
ecm: 214/214 curves on C121, B1=50K, B2=gmp-ecm default, ETA: 0 sec
pm1: starting B1 = 3750K, B2 = gmp-ecm default on C121
ecm: 156/430 curves on C121, B1=250K, B2=gmp-ecm default, ETA: 2.2 min
ecm: 273/273 curves on C94, B1=250K, B2=gmp-ecm default, ETA: 0 sec

starting SIQS on c94: 1643478080914643404700047735031040263405540740072340249677526070738178834321832127516310757431

==== sieving in progress (1 thread):   86144 relations needed ====
====           Press ctrl-c to abort and save state           ====
86202 rels found: 24098 full + 62104 from 1072871 partial, (564.08 rels/sec)

SIQS elapsed time = 1957.8009 seconds.
Total factoring time = 2163.2719 seconds

***factors found***

P27 = 835860719014898577901437983
P58 = 3808829585325665825975290341683918633863680563661606782449
P36 = 431491628621688866414206399718654119
software ソフトウェア
Yafu 1.34
execution environment 実行環境
Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10127+349

c88

name 名前Ignacio Santos
date 日付June 12, 2022 18:22:19 UTC 2022 年 6 月 13 日 (月) 3 時 22 分 19 秒 (日本時間)
composite number 合成数
2083826159590591437799027865748273769773834061822136373308371702513407175668201912485549<88>
prime factors 素因数
4320080535352219961933571945461839811<37>
482358174237299319243088841084998394274225021079759<51>
factorization results 素因数分解の結果
4320080535352219961933571945461839811 (37 dígitos) × 482358174237299319243088841084998394274225021079759 (51 dígitos)
software ソフトウェア
Alpertron

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10129+349

c118

name 名前Dmitry Domanov
date 日付June 13, 2022 11:09:27 UTC 2022 年 6 月 13 日 (月) 20 時 9 分 27 秒 (日本時間)
composite number 合成数
3720781257855983252495842789998958729770505469898153603166283486705607040863614552094018520918842707047362782440662137<118>
prime factors 素因数
7026534704676488626170541876903323158042171423<46>
529532894127688388975655142446739639328893871830054547195164219763183719<72>
factorization results 素因数分解の結果
N=3720781257855983252495842789998958729770505469898153603166283486705607040863614552094018520918842707047362782440662137
  ( 118 digits)
SNFS difficulty: 130 digits.
Divisors found:
p46 factor: 7026534704676488626170541876903323158042171423
p72 factor: 529532894127688388975655142446739639328893871830054547195164219763183719
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.98 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3720781257855983252495842789998958729770505469898153603166283486705607040863614552094018520918842707047362782440662137
m: 100000000000000000000000000000000
deg: 4
c4: 145
c0: 17
skew: 0.59
# Murphy_E = 1.108e-08
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 1115001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 128984 x 129209
Total sieving time: 1.94 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,100000
total time: 1.98 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
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10130+349

c123

name 名前Dmitry Domanov
date 日付June 13, 2022 12:08:52 UTC 2022 年 6 月 13 日 (月) 21 時 8 分 52 秒 (日本時間)
composite number 合成数
239095146955701501541762182910593903457294223969615300640983253958938679991541440294885509610422011690205987872807232230473<123>
prime factors 素因数
5083292790560027788557746230498088668677302817972840634081<58>
47035486014048842999180381151686979053578347436894485555937161833<65>
factorization results 素因数分解の結果
N=239095146955701501541762182910593903457294223969615300640983253958938679991541440294885509610422011690205987872807232230473
  ( 123 digits)
SNFS difficulty: 131 digits.
Divisors found:
p58 factor: 5083292790560027788557746230498088668677302817972840634081
p65 factor: 47035486014048842999180381151686979053578347436894485555937161833
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.77 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 239095146955701501541762182910593903457294223969615300640983253958938679991541440294885509610422011690205987872807232230473
m: 100000000000000000000000000000000
deg: 4
c4: 1450
c0: 17
skew: 0.33
# Murphy_E = 1.113e-08
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1135001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 132311 x 132535
Total sieving time: 1.73 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,100000
total time: 1.77 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
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10132+349

c80

name 名前Ignacio Santos
date 日付June 12, 2022 17:24:54 UTC 2022 年 6 月 13 日 (月) 2 時 24 分 54 秒 (日本時間)
composite number 合成数
13864058011563447206704534057524622300095154430648883752372881312745112522264257<80>
prime factors 素因数
2128575326510781556126427<25>
2822255664903999933322159<25>
2307836245273006468739420083549<31>
factorization results 素因数分解の結果
2128575326510781556126427 × 2822255664903999933322159 × 2307836245273006468739420083549 (31 dígitos) 
software ソフトウェア
Alpertron

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10136+349

c99

name 名前Eric Jeancolas
date 日付June 13, 2022 09:09:27 UTC 2022 年 6 月 13 日 (月) 18 時 9 分 27 秒 (日本時間)
composite number 合成数
185147677365897915988645050785829949199812820223572078628253671564288375162321624192002869522345997<99>
prime factors 素因数
5367362670011541458212386247483575729444511<43>
34495093540138921208396596505552119003520152951887222227<56>
factorization results 素因数分解の結果
185147677365897915988645050785829949199812820223572078628253671564288375162321624192002869522345997=5367362670011541458212386247483575729444511µ34495093540138921208396596505552119003520152951887222227

cado polynomial
n: 185147677365897915988645050785829949199812820223572078628253671564288375162321624192002869522345997
skew: 216359.053
c0: -91354901529982917566288850
c1: 895259597994431829035
c2: -7253586641683345
c3: -53524009488
c4: 55440
Y0: -447443238254842254248202
Y1: 80566660348319
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 3.074e-06
# f(x) = 55440*x^4-53524009488*x^3-7253586641683345*x^2+895259597994431829035*x-91354901529982917566288850
# g(x) = 80566660348319*x-447443238254842254248202

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 34495093540138921208396596505552119003520152951887222227 5367362670011541458212386247483575729444511
Info:Square Root: Total cpu/real time for sqrt: 33.17/27.2498
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 20.31/33.9455
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 27.9s
Info:Square Root: Total cpu/real time for sqrt: 33.17/27.2498
Info:Filtering - Singleton removal: Total cpu/real time for purge: 11.22/17.0354
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2388203
Info:Lattice Sieving: Average J: 985.687 for 71739 special-q, max bucket fill -bkmult 1.0,1s:1.441390
Info:Lattice Sieving: Total time: 5789.01s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.75/0.649901
Info:Linear Algebra: Total cpu/real time for bwc: 460.95/476.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 194.26, WCT time 213.25, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5120 iterations)
Info:Linear Algebra: Lingen CPU time 145.91, WCT time 132.63
Info:Linear Algebra: Mksol: CPU time 106.98,  WCT time 117.23, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2560 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.38/15.5244
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 15.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 46.71
Info:Polynomial Selection (root optimized): Rootsieve time: 46.32
Info:Generate Free Relations: Total cpu/real time for freerel: 24.2/16.7743
Info:Filtering - Merging: Merged matrix has 160388 rows and total weight 27333128 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 37.17/31.079
Info:Filtering - Merging: Total cpu/real time for replay: 5.73/6.40875
Info:Quadratic Characters: Total cpu/real time for characters: 5.34/4.67214
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5828/32.470/37.508/38.340/0.689
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3362/32.300/36.031/38.310/1.022
Info:Polynomial Selection (size optimized): Total time: 104.59
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 5641.83/3693.48
Info:root: Cleaning up computation data in /tmp/cado.66yjxqnk
34495093540138921208396596505552119003520152951887222227 5367362670011541458212386247483575729444511
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10138+349

c114

name 名前Florian Baur
date 日付June 14, 2022 14:24:49 UTC 2022 年 6 月 14 日 (火) 23 時 24 分 49 秒 (日本時間)
composite number 合成数
251059384073008740138427366224244502700142552385398983329892496658241028162308974214276341819651596752107868316571<114>
prime factors 素因数
58969532196760629993853<23>
4257442355745873988950015381139472587429141421081235220821835685359244056014115244921513207<91>
factorization results 素因数分解の結果
PID429799 2022-06-14 15:39:30,633 Info:Square Root: Factors: 4257442355745873988950015381139472587429141421081235220821835685359244056014115244921513207 58969532196760629993853
PID429799 2022-06-14 15:39:30,633 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID429799 2022-06-14 15:39:30,633 Info:Complete Factorization / Discrete logarithm: Square Root
PID429799 2022-06-14 15:39:30,634 Info:Square Root: Total cpu/real time for sqrt: 142.05/19.0842
PID429799 2022-06-14 15:39:30,634 Info:HTTP server: Got notification to stop serving Workunits
PID429799 2022-06-14 15:39:30,634 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 218.54/59.3223
PID429799 2022-06-14 15:39:30,634 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID429799 2022-06-14 15:39:30,634 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 52.4s
PID429799 2022-06-14 15:39:30,634 Info:Lattice Sieving: Aggregate statistics:
PID429799 2022-06-14 15:39:30,634 Info:Lattice Sieving: Total number of relations: 9212338
PID429799 2022-06-14 15:39:30,634 Info:Lattice Sieving: Average J: 1891.44 for 66503 special-q, max bucket fill -bkmult 1.0,1s:1.382340
PID429799 2022-06-14 15:39:30,634 Info:Lattice Sieving: Total time: 5240.78s
PID429799 2022-06-14 15:39:30,634 Info:Linear Algebra: Total cpu/real time for bwc: 43852.6/1894.58
PID429799 2022-06-14 15:39:30,634 Info:Linear Algebra: Aggregate statistics:
PID429799 2022-06-14 15:39:30,634 Info:Linear Algebra: Krylov: CPU time 412.84, WCT time 138.22, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7000 iterations)
PID429799 2022-06-14 15:39:30,635 Info:Linear Algebra: Lingen CPU time 43142.62, WCT time 1660.83
PID429799 2022-06-14 15:39:30,635 Info:Linear Algebra: Mksol: CPU time 172.35,  WCT time 55.97, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4000 iterations)
PID429799 2022-06-14 15:39:30,635 Info:Filtering - Merging: Total cpu/real time for merge: 53.9/15.9547
PID429799 2022-06-14 15:39:30,635 Info:Filtering - Merging: Total cpu/real time for replay: 8.4/7.09408
PID429799 2022-06-14 15:39:30,635 Info:Generate Free Relations: Total cpu/real time for freerel: 76.46/17.3488
PID429799 2022-06-14 15:39:30,635 Info:Quadratic Characters: Total cpu/real time for characters: 9.88/4.2958
PID429799 2022-06-14 15:39:30,635 Info:Filtering - Singleton removal: Total cpu/real time for purge: 70.04/27.9436
PID429799 2022-06-14 15:39:30,635 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 73.65/25.2076
PID429799 2022-06-14 15:39:30,635 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID429799 2022-06-14 15:39:30,635 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 25.1s
PID429799 2022-06-14 15:39:30,635 Info:Generate Factor Base: Total cpu/real time for makefb: 1.19/0.579054
PID429799 2022-06-14 15:39:30,635 Info:Square Root: Total cpu/real time for sqrt: 142.05/19.0842
PID429799 2022-06-14 15:39:30,636 Info:HTTP server: Shutting down HTTP server
PID429799 2022-06-14 15:39:30,999 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 54838.1/4768.97

Note by submitter (FB): weird that the 23 digit factor wasn't found by ECM already!
software ソフトウェア
CADO
execution environment 実行環境
AMD Epyc 7401P, 128 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10139+349

c138

name 名前Bob Backstrom
date 日付June 13, 2022 15:14:01 UTC 2022 年 6 月 14 日 (火) 0 時 14 分 1 秒 (日本時間)
composite number 合成数
130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765131<138>
prime factors 素因数
95240734944281236401286013577407156724811855500857946187546549<62>
1375300634296818287933088661001084266047126908942129116229033180092242784319<76>
factorization results 素因数分解の結果
Number: n
N=130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765131  ( 138 digits)
SNFS difficulty: 140 digits.
Divisors found:

Tue Jun 14 01:08:03 2022  p62 factor: 95240734944281236401286013577407156724811855500857946187546549
Tue Jun 14 01:08:03 2022  p76 factor: 1375300634296818287933088661001084266047126908942129116229033180092242784319
Tue Jun 14 01:08:03 2022  elapsed time 00:02:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 29x10^139+34 = 32(138)6
#
n: 130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765131
m: 50000000000000000000000000000000000
deg: 4
c4: 116
c0: 85
skew: 0.93
# Murphy_E = 3.058e-09
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6380000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 410472 hash collisions in 5923777 relations (6181099 unique)
Msieve: matrix is 247798 x 248023 (83.5 MB)

Sieving start time : 2022/06/14 00:43:24
Sieving end time  : 2022/06/14 01:02:47

Total sieving time: 0hrs 19min 23secs.

Total relation processing time: 0hrs 1min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 8sec.

Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10140+349

c126

name 名前Eric Jeancolas
date 日付June 18, 2022 17:14:02 UTC 2022 年 6 月 19 日 (日) 2 時 14 分 2 秒 (日本時間)
composite number 合成数
113810590692987632472425754546974593471201293538690521827079814630304765409203327879521303619318544028480072530230451636482621<126>
prime factors 素因数
1921079930122169081444272080974026805764486679<46>
59243027272555997317904221103402133543694890370948856236144366954211215222186699<80>
factorization results 素因数分解の結果
113810590692987632472425754546974593471201293538690521827079814630304765409203327879521303619318544028480072530230451636482621=1921079930122169081444272080974026805764486679*59243027272555997317904221103402133543694890370948856236144366954211215222186699

cado polynomial
n: 113810590692987632472425754546974593471201293538690521827079814630304765409203327879521303619318544028480072530230451636482621
skew: 1.04
type: snfs
c0: 34
c4: 29
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 29*x^4+34
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1600000
tasks.lim1 = 1600000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 59243027272555997317904221103402133543694890370948856236144366954211215222186699 1921079930122169081444272080974026805764486679
Info:Square Root: Total cpu/real time for sqrt: 28.17/9.021
Info:Filtering - Singleton removal: Total cpu/real time for purge: 39.52/36.0554
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6035105
Info:Lattice Sieving: Average J: 1891.17 for 139411 special-q, max bucket fill -bkmult 1.0,1s:1.326100
Info:Lattice Sieving: Total time: 11694.1s
Info:Linear Algebra: Total cpu/real time for bwc: 573.26/148.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 340.93, WCT time 87.11, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations)
Info:Linear Algebra: Lingen CPU time 27.75, WCT time 7.08
Info:Linear Algebra: Mksol: CPU time 187.26,  WCT time 47.98, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3072 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.35/21.8312
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.7s
Info:Filtering - Merging: Merged matrix has 195816 rows and total weight 33308925 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 39.33/10.9282
Info:Filtering - Merging: Total cpu/real time for replay: 6.03/5.03353
Info:Generate Factor Base: Total cpu/real time for makefb: 0.81/0.498595
Info:Quadratic Characters: Total cpu/real time for characters: 5.99/2.35941
Info:Generate Free Relations: Total cpu/real time for freerel: 36.21/10.9752
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.96/43.4979
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.2s
Info:Square Root: Total cpu/real time for sqrt: 28.17/9.021
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 21952.1/6273.86
Info:root: Cleaning up computation data in /tmp/cado.jq80bjxl
59243027272555997317904221103402133543694890370948856236144366954211215222186699 1921079930122169081444272080974026805764486679
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10141+349

c103

name 名前Eric Jeancolas
date 日付June 13, 2022 09:18:14 UTC 2022 年 6 月 13 日 (月) 18 時 18 分 14 秒 (日本時間)
composite number 合成数
1924469797705594884437988258293336705401610859321326652902938549398609400881894811978247883541229104847<103>
prime factors 素因数
57809170045262536665073<23>
271224552531448673607513923180475111527<39>
122739786646629600381031122554501456686057<42>
factorization results 素因数分解の結果
1924469797705594884437988258293336705401610859321326652902938549398609400881894811978247883541229104847=57809170045262536665073*271224552531448673607513923180475111527*122739786646629600381031122554501456686057

cado polynomial
n: 1924469797705594884437988258293336705401610859321326652902938549398609400881894811978247883541229104847
skew: 25677.624
c0: -10942110287942687461029472
c1: 552173404427532153160
c2: 84468186316255994
c3: 684157590155
c4: -53026822
c5: 960
Y0: -76871076746363285817
Y1: 395849717834611
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 4.345e-06
# f(x) = 960*x^5-53026822*x^4+684157590155*x^3+84468186316255994*x^2+552173404427532153160*x-10942110287942687461029472
# g(x) = 395849717834611*x-76871076746363285817

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 271224552531448673607513923180475111527 122739786646629600381031122554501456686057 57809170045262536665073
Info:Square Root: Total cpu/real time for sqrt: 67.18/51.0446
Info:Quadratic Characters: Total cpu/real time for characters: 5.91/4.83792
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 40.83/68.8015
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 57.5s
Info:Square Root: Total cpu/real time for sqrt: 67.18/51.0446
Info:Linear Algebra: Total cpu/real time for bwc: 329.97/284.03
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 178.52, WCT time 160.79, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (5248 iterations)
Info:Linear Algebra: Lingen CPU time 36.41, WCT time 16.31
Info:Linear Algebra: Mksol: CPU time 102.97,  WCT time 95.36, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2688 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 19.71/29.2912
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4626348
Info:Lattice Sieving: Average J: 1917.94 for 29933 special-q, max bucket fill -bkmult 1.0,1s:1.282470
Info:Lattice Sieving: Total time: 6316.01s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/1.22227
Info:Generate Free Relations: Total cpu/real time for freerel: 62.65/40.3645
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.8/31.4679
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 160.61
Info:Polynomial Selection (root optimized): Rootsieve time: 159.98
Info:Filtering - Merging: Merged matrix has 164791 rows and total weight 24059526 (146.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 23.5/18.806
Info:Filtering - Merging: Total cpu/real time for replay: 5.29/5.89455
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11082/29.650/36.125/41.260/0.974
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8791/29.010/31.835/36.550/0.855
Info:Polynomial Selection (size optimized): Total time: 566.2
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7072.04/4178.96
Info:root: Cleaning up computation data in /tmp/cado.jf327q2d
271224552531448673607513923180475111527 122739786646629600381031122554501456686057 57809170045262536665073
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10148+349

c109

name 名前Erik Branger
date 日付June 18, 2022 15:56:39 UTC 2022 年 6 月 19 日 (日) 0 時 56 分 39 秒 (日本時間)
composite number 合成数
2861508138626310083633650477060638287480985560411211780702581621706466040887376541494384914373236811213973533<109>
prime factors 素因数
16425502454740758697883290132063661578781153<44>
174211300172459342153731627767047245524857034359424166785111254461<66>
factorization results 素因数分解の結果
Number: 32226_148
N = 2861508138626310083633650477060638287480985560411211780702581621706466040887376541494384914373236811213973533 (109 digits)
SNFS difficulty: 150 digits.
Divisors found:
r1=16425502454740758697883290132063661578781153 (pp44)
r2=174211300172459342153731627767047245524857034359424166785111254461 (pp66)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 17.21 hours.
Factorization parameters were as follows:
n: 2861508138626310083633650477060638287480985560411211780702581621706466040887376541494384914373236811213973533
m: 10000000000000000000000000000000000000
deg: 4
c4: 29
c0: 34
skew: 1.04
# Murphy_E = 1.283e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 5728125
Relations: 461684 relations
Pruned matrix : 311461 x 311686
Polynomial selection time: 0.00 hours.
Total sieving time: 17.12 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,150,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 17.21 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
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
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10150+349

c127

name 名前Eric Jeancolas
date 日付June 18, 2022 09:15:58 UTC 2022 年 6 月 18 日 (土) 18 時 15 分 58 秒 (日本時間)
composite number 合成数
6913621956815277932470021470309836129434488514476439496820806073236869793931086854675182607361711828662931708156276870982249629<127>
prime factors 素因数
230809026181313073496581717321564811<36>
105706001034591412018490272193931064735547<42>
283369560280043403117980128327593456098430114344437<51>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6913621956815277932470021470309836129434488514476439496820806073236869793931086854675182607361711828662931708156276870982249629 (127 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:10184002
Step 1 took 1377ms
Step 2 took 900ms
********** Factor found in step 2: 230809026181313073496581717321564811
Found prime factor of 36 digits: 230809026181313073496581717321564811
Composite cofactor 29953863032133981463178007599165416658936451725255877464260230713845966474154305206675602039 has 92 digits

cado polynomial
n: 29953863032133981463178007599165416658936451725255877464260230713845966474154305206675602039
skew: 47288.19
c0: 705718002201134382394200
c1: 3484758496934750842
c2: 25930886228351
c3: -1797039468
c4: 187200
Y0: -4683473999967844207083
Y1: 1130888356951967
# MurphyE (Bf=8.389e+06,Bg=8.389e+06,area=4.214e+11) = 3.020e-06
# f(x) = 187200*x^4-1797039468*x^3+25930886228351*x^2+3484758496934750842*x+705718002201134382394200
# g(x) = 1130888356951967*x-4683473999967844207083

cado parameters (extracts)
tasks.lim0 = 404327
tasks.lim1 = 811066
tasks.lpb0 = 23
tasks.lpb1 = 23
tasks.sieve.mfb0 = 46
tasks.sieve.mfb1 = 46
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 105706001034591412018490272193931064735547 283369560280043403117980128327593456098430114344437
Info:Square Root: Total cpu/real time for sqrt: 31.2/23.0125
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1059973
Info:Lattice Sieving: Average J: 979.633 for 31722 special-q, max bucket fill -bkmult 1.0,1s:1.380760
Info:Lattice Sieving: Total time: 2068.47s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 6.36/9.37402
Info:Linear Algebra: Total cpu/real time for bwc: 165.11/156.28
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 50.74, WCT time 51.71, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (2700 iterations)
Info:Linear Algebra: Lingen CPU time 80.54, WCT time 69.31
Info:Linear Algebra: Mksol: CPU time 27.64,  WCT time 29.27, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1400 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 0.59/0.483252
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.14/7.86103
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 7.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 42.55
Info:Polynomial Selection (root optimized): Rootsieve time: 42.22
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 11.03/20.2555
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 15.099999999999998s
Info:Filtering - Merging: Merged matrix has 83731 rows and total weight 14281064 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 21.57/17.53
Info:Filtering - Merging: Total cpu/real time for replay: 2.99/3.34098
Info:Quadratic Characters: Total cpu/real time for characters: 2.85/2.44571
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2285.08
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2271/30.970/34.609/37.360/0.710
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 1365/29.940/33.404/36.100/1.145
Info:Polynomial Selection (size optimized): Total time: 37.46
Info:Generate Free Relations: Total cpu/real time for freerel: 6.39/4.71423
Info:Square Root: Total cpu/real time for sqrt: 31.2/23.0125
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2150.25/1360.5
Info:root: Cleaning up computation data in /tmp/cado.z3_b9_s9
105706001034591412018490272193931064735547 283369560280043403117980128327593456098430114344437
software ソフトウェア
GMP-ECM 7.0.4 for P36
cado-nfs-3.0.0 for P42 × P51
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10151+349

c113

name 名前Eric Jeancolas
date 日付June 19, 2022 08:21:24 UTC 2022 年 6 月 19 日 (日) 17 時 21 分 24 秒 (日本時間)
composite number 合成数
42865640930357408884476075277269303402131618803138239284586706303684598450485311303204349752192049911025942663151<113>
prime factors 素因数
27450889381748515239681214814348982025571141<44>
1561539239557674168396990083650855557868609811447409084791621542856611<70>
factorization results 素因数分解の結果
42865640930357408884476075277269303402131618803138239284586706303684598450485311303204349752192049911025942663151=27450889381748515239681214814348982025571141*1561539239557674168396990083650855557868609811447409084791621542856611

cado polynomial
n: 42865640930357408884476075277269303402131618803138239284586706303684598450485311303204349752192049911025942663151
skew: 0.65
type: snfs
c0: 17
c5: 145
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 145*x^5+17
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2400000
tasks.lim1 = 2400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 27450889381748515239681214814348982025571141 1561539239557674168396990083650855557868609811447409084791621542856611
Info:Square Root: Total cpu/real time for sqrt: 43.22/13.4846
Info:Generate Free Relations: Total cpu/real time for freerel: 59.04/16.8194
Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.48/81.11
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11630399
Info:Lattice Sieving: Average J: 1893.73 for 162452 special-q, max bucket fill -bkmult 1.0,1s:1.213220
Info:Lattice Sieving: Total time: 19768.8s
Info:Linear Algebra: Total cpu/real time for bwc: 956.51/249.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 580.93, WCT time 148.2, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8064 iterations)
Info:Linear Algebra: Lingen CPU time 35.89, WCT time 9.19
Info:Linear Algebra: Mksol: CPU time 317.11,  WCT time 83.48, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4096 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.68/45.2979
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 45.2s
Info:Filtering - Merging: Merged matrix has 255702 rows and total weight 43524571 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51.69/14.4104
Info:Filtering - Merging: Total cpu/real time for replay: 7.87/6.52173
Info:Generate Factor Base: Total cpu/real time for makefb: 1.06/0.580638
Info:Quadratic Characters: Total cpu/real time for characters: 8.14/3.16219
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 98.63/83.6417
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 75.6s
Info:Square Root: Total cpu/real time for sqrt: 43.22/13.4846
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 37358.2/10522.6
Info:root: Cleaning up computation data in /tmp/cado.ic8nwyus
27450889381748515239681214814348982025571141 1561539239557674168396990083650855557868609811447409084791621542856611
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10152+349

c136

name 名前Erik Branger
date 日付June 18, 2022 19:06:23 UTC 2022 年 6 月 19 日 (日) 4 時 6 分 23 秒 (日本時間)
composite number 合成数
5828549934362127529870087336268810307633049869197945940778653334509821491248744461051981174601733466632116871200965292048587940687857437<136>
prime factors 素因数
1036461216436976558662397192969005607977<40>
5623509921961986387117540470556652615662517216495177494544949176394844823517719998999341684416981<97>
factorization results 素因数分解の結果
Number: 32226_152
N = 5828549934362127529870087336268810307633049869197945940778653334509821491248744461051981174601733466632116871200965292048587940687857437 (136 digits)
SNFS difficulty: 154 digits.
Divisors found:
r1=1036461216436976558662397192969005607977 (pp40)
r2=5623509921961986387117540470556652615662517216495177494544949176394844823517719998999341684416981 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.86 hours.
Factorization parameters were as follows:
n: 5828549934362127529870087336268810307633049869197945940778653334509821491248744461051981174601733466632116871200965292048587940687857437
m: 1000000000000000000000000000000
deg: 5
c5: 1450
c0: 17
skew: 0.41
# Murphy_E = 8.433e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 8153587
Relations: 790612 relations
Pruned matrix : 461289 x 461515
Polynomial selection time: 0.00 hours.
Total sieving time: 8.70 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 8.86 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
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
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10153+349

c137

name 名前Bob Backstrom
date 日付June 13, 2022 16:01:52 UTC 2022 年 6 月 14 日 (火) 1 時 1 分 52 秒 (日本時間)
composite number 合成数
84403222219368399415307444302848871029786641328292033979044163393389180188753789243339866013022617211930295379052111675796399844964607743<137>
prime factors 素因数
154476969629132691058758627298953907143220453514612515617499<60>
546380618560832136198775366491343967254877839534155809222923667095698690339757<78>
factorization results 素因数分解の結果
Number: n
N=84403222219368399415307444302848871029786641328292033979044163393389180188753789243339866013022617211930295379052111675796399844964607743  ( 137 digits)
SNFS difficulty: 154 digits.
Divisors found:

Tue Jun 14 01:56:41 2022  p60 factor: 154476969629132691058758627298953907143220453514612515617499
Tue Jun 14 01:56:41 2022  p78 factor: 546380618560832136198775366491343967254877839534155809222923667095698690339757
Tue Jun 14 01:56:41 2022  elapsed time 00:06:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 29x10^153+34 = 32(152)6
#
n: 84403222219368399415307444302848871029786641328292033979044163393389180188753789243339866013022617211930295379052111675796399844964607743
m: 1000000000000000000000000000000
deg: 5
c5: 14500
c0: 17
skew: 0.26
# Murphy_E = 8.07e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1301950 hash collisions in 13996806 relations (13600268 unique)
Msieve: matrix is 381774 x 381999 (128.0 MB)

Sieving start time : 2022/06/14 01:11:35
Sieving end time  : 2022/06/14 01:50:26

Total sieving time: 0hrs 38min 51secs.

Total relation processing time: 0hrs 2min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10154+349

c91

name 名前Eric Jeancolas
date 日付June 12, 2022 21:09:16 UTC 2022 年 6 月 13 日 (月) 6 時 9 分 16 秒 (日本時間)
composite number 合成数
1736220941835754923611120613375102589233634257491348095516053749512624210314066137578673753<91>
prime factors 素因数
93831108878454097705515434632661<32>
18503681375915546007416637230103198576202749823719897619573<59>
factorization results 素因数分解の結果
fac: factoring 1736220941835754923611120613375102589233634257491348095516053749512624210314066137578673753
fac: using pretesting plan: normal
fac: no tune info: using qs/gnfs crossover of 95 digits
div: primes less than 10000
fmt: 1000000 iterations
rho: x^2 + 3, starting 1000 iterations on C91
rho: x^2 + 2, starting 1000 iterations on C91
rho: x^2 + 1, starting 1000 iterations on C91
pm1: starting B1 = 150K, B2 = gmp-ecm default on C91
ecm: 30/30 curves on C91, B1=2K, B2=gmp-ecm default
ecm: 74/74 curves on C91, B1=11K, B2=gmp-ecm default
ecm: 178/214 curves on C91, B1=50K, B2=gmp-ecm default, ETA: 3 sec
Total factoring time = 16.9857 seconds


***factors found***

P32 = 93831108878454097705515434632661
P59 = 18503681375915546007416637230103198576202749823719897619573
software ソフトウェア
Yafu 1.34
execution environment 実行環境
Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10155+349

c140

name 名前Bob Backstrom
date 日付June 13, 2022 02:53:45 UTC 2022 年 6 月 13 日 (月) 11 時 53 分 45 秒 (日本時間)
composite number 合成数
11622731677901973774122311353678569587985276959061242683750686303035181777151728603080614324672322568827461242907388603126140358576257528041<140>
prime factors 素因数
75899860914633086961648756061002320129<38>
153132450281752404535685701913856953681622548047268869975975879591480344427308666256103340234273226729<102>
factorization results 素因数分解の結果
Number: n
N=11622731677901973774122311353678569587985276959061242683750686303035181777151728603080614324672322568827461242907388603126140358576257528041  ( 140 digits)
SNFS difficulty: 156 digits.
Divisors found:

Mon Jun 13 12:49:03 2022  p38 factor: 75899860914633086961648756061002320129
Mon Jun 13 12:49:03 2022  p102 factor: 153132450281752404535685701913856953681622548047268869975975879591480344427308666256103340234273226729
Mon Jun 13 12:49:03 2022  elapsed time 00:06:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 29x10^155+34 = 32(154)6
#
n: 11622731677901973774122311353678569587985276959061242683750686303035181777151728603080614324672322568827461242907388603126140358576257528041
m: 10000000000000000000000000000000
deg: 5
c5: 29
c0: 34
skew: 1.03
# Murphy_E = 7.143e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1299746 hash collisions in 13536664 relations (13093225 unique)
Msieve: matrix is 423006 x 423232 (141.9 MB)

Sieving start time : 2022/06/13 11:58:09
Sieving end time  : 2022/06/13 12:42:42

Total sieving time: 0hrs 44min 33secs.

Total relation processing time: 0hrs 2min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10158+349

c132

name 名前Eric Jeancolas
date 日付June 19, 2022 15:17:58 UTC 2022 年 6 月 20 日 (月) 0 時 17 分 58 秒 (日本時間)
composite number 合成数
595945803232730986047477785969365892604263521324353137635864101327428010501989479898326173165563084328932714435074290199532038089247<132>
prime factors 素因数
25485804691298652435771443026532987184013<41>
23383440721265451391093166968713079995573006269266874675012079852998476055880468064973661019<92>
factorization results 素因数分解の結果
595945803232730986047477785969365892604263521324353137635864101327428010501989479898326173165563084328932714435074290199532038089247=25485804691298652435771443026532987184013*23383440721265451391093166968713079995573006269266874675012079852998476055880468064973661019

cado polynomial
n: 595945803232730986047477785969365892604263521324353137635864101327428010501989479898326173165563084328932714435074290199532038089247
skew: 0.26
type: snfs
c0: 17
c5: 14500
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 14500*x^5+17
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3100000
tasks.lim1 = 3100000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 23383440721265451391093166968713079995573006269266874675012079852998476055880468064973661019 25485804691298652435771443026532987184013
Info:Square Root: Total cpu/real time for sqrt: 75.96/23.7927
Info:Quadratic Characters: Total cpu/real time for characters: 11.5/4.52693
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.46/86.5341
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.8s
Info:Square Root: Total cpu/real time for sqrt: 75.96/23.7927
Info:Linear Algebra: Total cpu/real time for bwc: 2027.62/522.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1254.64, WCT time 320.01, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Linear Algebra: Lingen CPU time 57.14, WCT time 14.64
Info:Linear Algebra: Mksol: CPU time 681.55,  WCT time 173.82, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5888 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 78.91/71.4233
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11628403
Info:Lattice Sieving: Average J: 1894.1 for 310516 special-q, max bucket fill -bkmult 1.0,1s:1.258830
Info:Lattice Sieving: Total time: 35736s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.34/17.847
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.82/47.8791
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.8s
Info:Filtering - Merging: Merged matrix has 372798 rows and total weight 63625755 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 76.28/21.3663
Info:Filtering - Merging: Total cpu/real time for replay: 11.66/9.69732
Info:Generate Factor Base: Total cpu/real time for makefb: 1.37/0.754107
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 68001.5/18842.2
Info:root: Cleaning up computation data in /tmp/cado.ii8_gedv
23383440721265451391093166968713079995573006269266874675012079852998476055880468064973661019 25485804691298652435771443026532987184013
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10159+349

c129

name 名前Eric Jeancolas
date 日付June 21, 2022 06:04:34 UTC 2022 年 6 月 21 日 (火) 15 時 4 分 34 秒 (日本時間)
composite number 合成数
617635688778554987849746220733682947456588440157286032843182044783088273294244784721381866923672775408474409189506360162021992701<129>
prime factors 素因数
134929050339146889461322644676433341727108931805500377<54>
4577484887250856852415435538156425734121405254685156746619552575303397481413<76>
factorization results 素因数分解の結果
617635688778554987849746220733682947456588440157286032843182044783088273294244784721381866923672775408474409189506360162021992701=134929050339146889461322644676433341727108931805500377*4577484887250856852415435538156425734121405254685156746619552575303397481413

cado polynomial
n: 617635688778554987849746220733682947456588440157286032843182044783088273294244784721381866923672775408474409189506360162021992701
skew: 0.82
type: snfs
c0: 85
c5: 232
Y0: 50000000000000000000000000000000
Y1: -1
# f(x) = 232*x^5+85
# g(x) = -x+50000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3400000
tasks.lim1 = 3400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4577484887250856852415435538156425734121405254685156746619552575303397481413 134929050339146889461322644676433341727108931805500377
Info:Square Root: Total cpu/real time for sqrt: 82.18/26.0634
Info:Generate Free Relations: Total cpu/real time for freerel: 59.67/16.7856
Info:Filtering - Singleton removal: Total cpu/real time for purge: 74.85/70.2154
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11658285
Info:Lattice Sieving: Average J: 1892.74 for 244927 special-q, max bucket fill -bkmult 1.0,1s:1.259680
Info:Lattice Sieving: Total time: 29798.4s
Info:Linear Algebra: Total cpu/real time for bwc: 2280.7/590.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1405.83, WCT time 360.71, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12672 iterations)
Info:Linear Algebra: Lingen CPU time 63.82, WCT time 16.27
Info:Linear Algebra: Mksol: CPU time 774.67,  WCT time 198.68, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.96/49.4781
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.4s
Info:Filtering - Merging: Merged matrix has 404979 rows and total weight 69030206 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 83.48/23.5385
Info:Filtering - Merging: Total cpu/real time for replay: 13.19/11.0192
Info:Generate Factor Base: Total cpu/real time for makefb: 1.49/0.808419
Info:Quadratic Characters: Total cpu/real time for characters: 13.13/5.17541
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.61/87.3295
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.4s
Info:Square Root: Total cpu/real time for sqrt: 82.18/26.0634
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 57535.7/15952.8
Info:root: Cleaning up computation data in /tmp/cado.6zmg4xnl
4577484887250856852415435538156425734121405254685156746619552575303397481413 134929050339146889461322644676433341727108931805500377
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10160+349

c131

name 名前Eric Jeancolas
date 日付June 21, 2022 06:12:33 UTC 2022 年 6 月 21 日 (火) 15 時 12 分 33 秒 (日本時間)
composite number 合成数
65091603405283999083342995913400466798884520450807905713527290000598055244294445435058166670334455589501412072114240238952291961151<131>
prime factors 素因数
13660029735734518434342972601233769686641631498444793<53>
4765114327314012597804864170582230039574808101571913263255998614779856108073207<79>
factorization results 素因数分解の結果
65091603405283999083342995913400466798884520450807905713527290000598055244294445435058166670334455589501412072114240238952291961151=13660029735734518434342972601233769686641631498444793*4765114327314012597804864170582230039574808101571913263255998614779856108073207

cado polynomial
n: 65091603405283999083342995913400466798884520450807905713527290000598055244294445435058166670334455589501412072114240238952291961151
skew: 1.03
type: snfs
c0: 34
c5: 29
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 29*x^5+34
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3400000
tasks.lim1 = 3400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4765114327314012597804864170582230039574808101571913263255998614779856108073207 13660029735734518434342972601233769686641631498444793
Info:Square Root: Total cpu/real time for sqrt: 86.57/27.7006
Info:Quadratic Characters: Total cpu/real time for characters: 15/5.92162
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.15/89.8091
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.0s
Info:Square Root: Total cpu/real time for sqrt: 86.57/27.7006
Info:Linear Algebra: Total cpu/real time for bwc: 2963.63/763.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1840.96, WCT time 469.86, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14464 iterations)
Info:Linear Algebra: Lingen CPU time 74.03, WCT time 18.89
Info:Linear Algebra: Mksol: CPU time 1007.23,  WCT time 257.29, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 69.72/67.8231
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11650740
Info:Lattice Sieving: Average J: 1894.53 for 298753 special-q, max bucket fill -bkmult 1.0,1s:1.236700
Info:Lattice Sieving: Total time: 35085.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.01/17.6157
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.63/47.5729
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.5s
Info:Filtering - Merging: Merged matrix has 459459 rows and total weight 78286816 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 94.56/26.559
Info:Filtering - Merging: Total cpu/real time for replay: 14.92/12.4692
Info:Generate Factor Base: Total cpu/real time for makefb: 1.48/0.930525
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 67877/18678.7
Info:root: Cleaning up computation data in /tmp/cado.rmkt5br9
4765114327314012597804864170582230039574808101571913263255998614779856108073207 13660029735734518434342972601233769686641631498444793
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10161+349

c157

name 名前Bob Backstrom
date 日付June 14, 2022 19:12:04 UTC 2022 年 6 月 15 日 (水) 4 時 12 分 4 秒 (日本時間)
composite number 合成数
3256677874130523157225669808799319017426595603709468397871704859637183624974451923573631240749350348913729480121912051729520549637385763601122093976493523703<157>
prime factors 素因数
791671296919220127932165097859616473213549527257<48>
4113674307511018984833991341574682255208333309635130371423113578739795168357179291614704483192518147535667279<109>
factorization results 素因数分解の結果
Number: n
N=3256677874130523157225669808799319017426595603709468397871704859637183624974451923573631240749350348913729480121912051729520549637385763601122093976493523703  ( 157 digits)
SNFS difficulty: 162 digits.
Divisors found:

Wed Jun 15 05:07:51 2022  p48 factor: 791671296919220127932165097859616473213549527257
Wed Jun 15 05:07:51 2022  p109 factor: 4113674307511018984833991341574682255208333309635130371423113578739795168357179291614704483192518147535667279
Wed Jun 15 05:07:51 2022  elapsed time 00:08:02 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 29x10^161+34 = 32(160)6
#
n: 3256677874130523157225669808799319017426595603709468397871704859637183624974451923573631240749350348913729480121912051729520549637385763601122093976493523703
m: 100000000000000000000000000000000
deg: 5
c5: 145
c0: 17
skew: 0.65
# Murphy_E = 4.698e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1068056 hash collisions in 12327723 relations (12049724 unique)
Msieve: matrix is 508099 x 508324 (174.3 MB)

Sieving start time : 2022/06/15 04:14:03
Sieving end time  : 2022/06/15 04:59:33

Total sieving time: 0hrs 45min 30secs.

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

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10162+349

c103

name 名前Eric Jeancolas
date 日付June 13, 2022 05:40:25 UTC 2022 年 6 月 13 日 (月) 14 時 40 分 25 秒 (日本時間)
composite number 合成数
9759644134574587601490026857086184091673439540243466244794274430241444574443609360255862272764779103123<103>
prime factors 素因数
44218132635727832270810884220035065151932921803549<50>
220715881762245373482470336368045721759233166362927727<54>
factorization results 素因数分解の結果
9759644134574587601490026857086184091673439540243466244794274430241444574443609360255862272764779103123=44218132635727832270810884220035065151932921803549*220715881762245373482470336368045721759233166362927727

cado polynomial
n: 9759644134574587601490026857086184091673439540243466244794274430241444574443609360255862272764779103123
skew: 3471.011
c0: 30416447022992406331585
c1: 29027112757930815197
c2: -17682307571779922
c3: -1342425312925
c4: 725960697
c5: 45360
Y0: -13891836629972601722
Y1: 14776488278708183
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.909e-06
# f(x) = 45360*x^5+725960697*x^4-1342425312925*x^3-17682307571779922*x^2+29027112757930815197*x+30416447022992406331585
# g(x) = 14776488278708183*x-13891836629972601722

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 220715881762245373482470336368045721759233166362927727 44218132635727832270810884220035065151932921803549
Info:Square Root: Total cpu/real time for sqrt: 100.92/73.5498
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 41.21/70.6002
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 59.599999999999994s
Info:Square Root: Total cpu/real time for sqrt: 100.92/73.5498
Info:Filtering - Singleton removal: Total cpu/real time for purge: 16.84/26.5778
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4631890
Info:Lattice Sieving: Average J: 1893.23 for 36681 special-q, max bucket fill -bkmult 1.0,1s:1.309430
Info:Lattice Sieving: Total time: 7273.91s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/1.26576
Info:Linear Algebra: Total cpu/real time for bwc: 677.59/596.05
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 285.12, WCT time 239.52, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6144 iterations)
Info:Linear Algebra: Lingen CPU time 214.63, WCT time 182.62
Info:Linear Algebra: Mksol: CPU time 162.25,  WCT time 159.48, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3072 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.61/40.7229
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.62/31.105
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 155.2
Info:Polynomial Selection (root optimized): Rootsieve time: 154.58
Info:Filtering - Merging: Merged matrix has 196075 rows and total weight 28538734 (145.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 27.49/21.9151
Info:Filtering - Merging: Total cpu/real time for replay: 6.61/7.40492
Info:Quadratic Characters: Total cpu/real time for characters: 7.34/5.91658
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10971/30.160/36.276/46.500/1.005
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7072/28.450/32.284/36.870/0.885
Info:Polynomial Selection (size optimized): Total time: 519.95
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8283.83/5010.17
Info:root: Cleaning up computation data in /tmp/cado.i9ladgqa
220715881762245373482470336368045721759233166362927727 44218132635727832270810884220035065151932921803549
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10163+349

c119

name 名前Bob Backstrom
date 日付June 20, 2022 13:34:17 UTC 2022 年 6 月 20 日 (月) 22 時 34 分 17 秒 (日本時間)
composite number 合成数
83345738905865893357196153298483885290142970920095544472968914473948004579367237876746587715947351832379499568934882313<119>
prime factors 素因数
6150273102095788836787116833789986603954551379<46>
13551550886002884049028448251898457812080290891971023284065069281901882547<74>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 83345738905865893357196153298483885290142970920095544472968914473948004579367237876746587715947351832379499568934882313 (119 digits)
Using B1=26440000, B2=144285831706, polynomial Dickson(12), sigma=1:3657073843
Step 1 took 38442ms
Step 2 took 17481ms
********** Factor found in step 2: 6150273102095788836787116833789986603954551379
Found prime factor of 46 digits: 6150273102095788836787116833789986603954551379
Prime cofactor 13551550886002884049028448251898457812080290891971023284065069281901882547 has 74 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10164+349

c142

name 名前Bob Backstrom
date 日付June 15, 2022 10:17:28 UTC 2022 年 6 月 15 日 (水) 19 時 17 分 28 秒 (日本時間)
composite number 合成数
1300265865024796247709016315998413883928987830609131076339748174869275881047200360400393454971869456539424636224316949907370555434614517963639<142>
prime factors 素因数
4442366216550120741405279337527931<34>
292696684974019199673348449925046084863597809579251686782296828628241894638079759675654765782802618336444469<108>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1300265865024796247709016315998413883928987830609131076339748174869275881047200360400393454971869456539424636224316949907370555434614517963639 (142 digits)
Using B1=16820000, B2=58559116990, polynomial Dickson(12), sigma=1:3166913476
Step 1 took 33348ms
Step 2 took 14302ms
********** Factor found in step 2: 4442366216550120741405279337527931
Found prime factor of 34 digits: 4442366216550120741405279337527931
Prime cofactor 292696684974019199673348449925046084863597809579251686782296828628241894638079759675654765782802618336444469 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10166+349

c131

name 名前Eric Jeancolas
date 日付June 21, 2022 19:55:23 UTC 2022 年 6 月 22 日 (水) 4 時 55 分 23 秒 (日本時間)
composite number 合成数
42776589893325349609091408440276961361417663110969773419989195498259928412517738277964858304353227079693100635651728335795242925949<131>
prime factors 素因数
3989859304479977092050021496131593670073448887617095530379<58>
10721327903792007453432390022861587654382621678666822217305793827955639831<74>
factorization results 素因数分解の結果
42776589893325349609091408440276961361417663110969773419989195498259928412517738277964858304353227079693100635651728335795242925949=3989859304479977092050021496131593670073448887617095530379*10721327903792007453432390022861587654382621678666822217305793827955639831

cado polynomial
n: 42776589893325349609091408440276961361417663110969773419989195498259928412517738277964858304353227079693100635651728335795242925949
skew: 0.65
type: snfs
c0: 17
c5: 145
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 145*x^5+17
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3989859304479977092050021496131593670073448887617095530379 10721327903792007453432390022861587654382621678666822217305793827955639831
Info:Square Root: Total cpu/real time for sqrt: 120.24/38.0502
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.65/62.6094
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11630291
Info:Lattice Sieving: Average J: 1893.35 for 398094 special-q, max bucket fill -bkmult 1.0,1s:1.243850
Info:Lattice Sieving: Total time: 49970.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.11/17.2101
Info:Linear Algebra: Total cpu/real time for bwc: 5127.34/1317.79
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3189.6, WCT time 814.35, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18176 iterations)
Info:Linear Algebra: Lingen CPU time 100.23, WCT time 25.45
Info:Linear Algebra: Mksol: CPU time 1749.79,  WCT time 446.62, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.58/48.6455
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.6s
Info:Filtering - Merging: Merged matrix has 577566 rows and total weight 98239614 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 122.06/34.0716
Info:Filtering - Merging: Total cpu/real time for replay: 19.19/16.0479
Info:Generate Factor Base: Total cpu/real time for makefb: 1.87/1.01292
Info:Quadratic Characters: Total cpu/real time for characters: 18.72/7.39643
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.88/88.9654
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.5s
Info:Square Root: Total cpu/real time for sqrt: 120.24/38.0502
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 97806.2/26811.5
Info:root: Cleaning up computation data in /tmp/cado.tsgf_sun
3989859304479977092050021496131593670073448887617095530379 10721327903792007453432390022861587654382621678666822217305793827955639831
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10167+349

c139

name 名前Eric Jeancolas
date 日付June 18, 2022 09:59:50 UTC 2022 年 6 月 18 日 (土) 18 時 59 分 50 秒 (日本時間)
composite number 合成数
3908330971248870175957873719880425063489311830294794703155336299683612049939065103989871927229789639494720200332486607323969268924656153571<139>
prime factors 素因数
66047115684740231613799262177<29>
59174892510133721553882164573912289143720506532613456346243967583220760085911770271102047684212477091719955523<110>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3908330971248870175957873719880425063489311830294794703155336299683612049939065103989871927229789639494720200332486607323969268924656153571 (139 digits)
Using B1=100000, B2=40868532, polynomial x^2, sigma=1:263209405
Step 1 took 169ms
Step 2 took 121ms
********** Factor found in step 2: 66047115684740231613799262177
Found prime factor of 29 digits: 66047115684740231613799262177
Prime cofactor 59174892510133721553882164573912289143720506532613456346243967583220760085911770271102047684212477091719955523 has 110 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10168+349

c151

name 名前Bob Backstrom
date 日付June 19, 2022 05:55:29 UTC 2022 年 6 月 19 日 (日) 14 時 55 分 29 秒 (日本時間)
composite number 合成数
3272475816263596538527459668093856929885707618556933188263703354467849302402544051454717729549067379224366008089368912448370981176610952691136327306393<151>
prime factors 素因数
8907951380477352553844469994531371951996373786806636894667397<61>
367365702448213584913946538660659564868561660853197597033991162199464281353589955426648069<90>
factorization results 素因数分解の結果
Number: n
N=3272475816263596538527459668093856929885707618556933188263703354467849302402544051454717729549067379224366008089368912448370981176610952691136327306393  ( 151 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sun Jun 19 15:43:52 2022  p61 factor: 8907951380477352553844469994531371951996373786806636894667397
Sun Jun 19 15:43:52 2022  p90 factor: 367365702448213584913946538660659564868561660853197597033991162199464281353589955426648069
Sun Jun 19 15:43:52 2022  elapsed time 00:13:41 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 29x10^168+34 = 32(167)6
#
n: 3272475816263596538527459668093856929885707618556933188263703354467849302402544051454717729549067379224366008089368912448370981176610952691136327306393
m: 1000000000000000000000000000000000
deg: 5
c5: 14500
c0: 17
skew: 0.26
# Murphy_E = 2.114e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1225719 hash collisions in 12473152 relations (12017372 unique)
Msieve: matrix is 753944 x 754169 (262.2 MB)

Sieving start time : 2022/06/19 14:24:34
Sieving end time  : 2022/06/19 15:29:56

Total sieving time: 1hrs 5min 22secs.

Total relation processing time: 0hrs 8min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 1sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10169+349

c141

name 名前Eric Jeancolas
date 日付June 22, 2022 15:13:05 UTC 2022 年 6 月 23 日 (木) 0 時 13 分 5 秒 (日本時間)
composite number 合成数
130656263365597038874671615243102167435873025187021827360811742579611634085828199270401140249833724806124587421832196534638998848332492562291<141>
prime factors 素因数
230755909089805751263535903716489787934946807715126069501<57>
566209827002731877985818258879875979860193422183236599904827735236510555062225087791<84>
factorization results 素因数分解の結果
130656263365597038874671615243102167435873025187021827360811742579611634085828199270401140249833724806124587421832196534638998848332492562291=230755909089805751263535903716489787934946807715126069501*566209827002731877985818258879875979860193422183236599904827735236510555062225087791

cado polynomial
n: 130656263365597038874671615243102167435873025187021827360811742579611634085828199270401140249833724806124587421832196534638998848332492562291
skew: 0.82
type: snfs
c0: 85
c5: 232
Y0: 5000000000000000000000000000000000
Y1: -1
# f(x) = 232*x^5+85
# g(x) = -x+5000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4900000
tasks.lim1 = 4900000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 230755909089805751263535903716489787934946807715126069501 566209827002731877985818258879875979860193422183236599904827735236510555062225087791
Info:Square Root: Total cpu/real time for sqrt: 199.66/63.8224
Info:Quadratic Characters: Total cpu/real time for characters: 29.25/11.5608
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.82/92.4905
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.1s
Info:Square Root: Total cpu/real time for sqrt: 199.66/63.8224
Info:Linear Algebra: Total cpu/real time for bwc: 10152/2617.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6405.14, WCT time 1644.8, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 146.86, WCT time 37.36
Info:Linear Algebra: Mksol: CPU time 3471.53,  WCT time 888.1, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.62/53.8929
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11645439
Info:Lattice Sieving: Average J: 1892.93 for 443980 special-q, max bucket fill -bkmult 1.0,1s:1.177030
Info:Lattice Sieving: Total time: 57587.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.24/50.7469
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.79/17.6519
Info:Filtering - Merging: Merged matrix has 811672 rows and total weight 138653748 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 183.19/51.8252
Info:Filtering - Merging: Total cpu/real time for replay: 29.82/25.0145
Info:Generate Factor Base: Total cpu/real time for makefb: 2.13/1.15431
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 117410/31956.5
Info:root: Cleaning up computation data in /tmp/cado.wt95uwzn
230755909089805751263535903716489787934946807715126069501 566209827002731877985818258879875979860193422183236599904827735236510555062225087791
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 19, 2022 20:47:20 UTC 2022 年 6 月 20 日 (月) 5 時 47 分 20 秒 (日本時間)

29×10171+349

c154

name 名前Bob Backstrom
date 日付June 15, 2022 04:24:31 UTC 2022 年 6 月 15 日 (水) 13 時 24 分 31 秒 (日本時間)
composite number 合成数
1291196560873439010152770199834644215166664747168847736797353925120552533827485997129440782741122476142164907892806301850360840536994576780091904905316771<154>
prime factors 素因数
50259733509299669017940081671341212710762855447<47>
100808875212246086901818663906400277792061820343<48>
254843411406183834767639086643739973429168480991505154234451<60>
factorization results 素因数分解の結果
Number: n
N=1291196560873439010152770199834644215166664747168847736797353925120552533827485997129440782741122476142164907892806301850360840536994576780091904905316771  ( 154 digits)
SNFS difficulty: 172 digits.
Divisors found:

Wed Jun 15 13:55:33 2022  found factor: 254843411406183834767639086643739973429168480991505154234451
Wed Jun 15 13:56:30 2022  p47 factor: 50259733509299669017940081671341212710762855447
Wed Jun 15 13:56:30 2022  p48 factor: 100808875212246086901818663906400277792061820343
Wed Jun 15 13:56:30 2022  p60 factor: 254843411406183834767639086643739973429168480991505154234451
Wed Jun 15 13:56:30 2022  elapsed time 00:15:58 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 29x10^171+34 = 32(170)6
#
n: 1291196560873439010152770199834644215166664747168847736797353925120552533827485997129440782741122476142164907892806301850360840536994576780091904905316771
m: 10000000000000000000000000000000000
deg: 5
c5: 145
c0: 17
skew: 0.65
# Murphy_E = 1.899e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1182754 hash collisions in 12046633 relations (11603504 unique)
Msieve: matrix is 851866 x 852092 (295.0 MB)

Sieving start time : 2022/06/15 12:23:08
Sieving end time  : 2022/06/15 13:40:17

Total sieving time: 1hrs 17min 9secs.

Total relation processing time: 0hrs 10min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 54sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10174+349

c127

name 名前Ignacio Santos
date 日付June 14, 2022 17:33:04 UTC 2022 年 6 月 15 日 (水) 2 時 33 分 4 秒 (日本時間)
composite number 合成数
1982726917673757138824471052543027615303163988833412303628173541087719471568288436798676206140578952894153789426397486528286251<127>
prime factors 素因数
216818122392141942903489735091<30>
9144654956875580616150031651239370481644905532454429964272029673553403011441461773955028866702761<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2450922300
Step 1 took 4641ms
Step 2 took 2813ms
********** Factor found in step 2: 216818122392141942903489735091
Found prime factor of 30 digits: 216818122392141942903489735091
Prime cofactor 9144654956875580616150031651239370481644905532454429964272029673553403011441461773955028866702761 has 97 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10175+349

c153

name 名前Ignacio Santos
date 日付June 14, 2022 17:53:28 UTC 2022 年 6 月 15 日 (水) 2 時 53 分 28 秒 (日本時間)
composite number 合成数
685036432835111824656142578965418805940086413620106022589688857348482493817512604120971173628503280164702219222284571563643100954063769475219401139218821<153>
prime factors 素因数
381506398295303408911489493124249883<36>
1795609289637292741688468215913013622161967165186425193013729868050647203049002039452777956953807674436618990307013087<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:103515087
Step 1 took 5875ms
Step 2 took 3562ms
********** Factor found in step 2: 381506398295303408911489493124249883
Found prime factor of 36 digits: 381506398295303408911489493124249883
Prime cofactor 1795609289637292741688468215913013622161967165186425193013729868050647203049002039452777956953807674436618990307013087 has 118 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10176+349

c142

name 名前Ignacio Santos
date 日付June 14, 2022 17:54:16 UTC 2022 年 6 月 15 日 (水) 2 時 54 分 16 秒 (日本時間)
composite number 合成数
4579207288181775211983472846645846451405457233068507028624818893128413183469953408917594273655317830006236803939676281117182649465460210924097<142>
prime factors 素因数
9965114034631276242034385089019251979<37>
459523822032329865106050032720607368518229592877247393297279614731595392049899722377408904006175407091043<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3440840861
Step 1 took 5969ms
Step 2 took 3360ms
********** Factor found in step 2: 9965114034631276242034385089019251979
Found prime factor of 37 digits: 9965114034631276242034385089019251979
Prime cofactor 459523822032329865106050032720607368518229592877247393297279614731595392049899722377408904006175407091043 has 105 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10177+349

c176

name 名前Bob Backstrom
date 日付June 17, 2022 14:49:09 UTC 2022 年 6 月 17 日 (金) 23 時 49 分 9 秒 (日本時間)
composite number 合成数
84795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637427<176>
prime factors 素因数
6079900222141932312247649032498785065159<40>
1317561754896990886368219395831010173904264551561683444029619<61>
10585331412918790158656530345837359538664117986322183936516231503158029216887<77>
factorization results 素因数分解の結果
Number: n
N=84795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637427  ( 176 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sat Jun 18 00:43:19 2022  found factor: 10585331412918790158656530345837359538664117986322183936516231503158029216887
Sat Jun 18 00:44:27 2022  p40 factor: 6079900222141932312247649032498785065159
Sat Jun 18 00:44:27 2022  p61 factor: 1317561754896990886368219395831010173904264551561683444029619
Sat Jun 18 00:44:27 2022  p77 factor: 10585331412918790158656530345837359538664117986322183936516231503158029216887
Sat Jun 18 00:44:27 2022  elapsed time 00:26:30 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 29x10^177+34 = 32(176)6
#
n: 84795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637427
m: 100000000000000000000000000000000000
deg: 5
c5: 1450
c0: 17
skew: 0.41
# Murphy_E = 8.849e-11
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4692953 hash collisions in 30189236 relations (26902921 unique)
Msieve: matrix is 1032717 x 1032943 (349.8 MB)

Sieving start time : 2022/06/17 22:00:28
Sieving end time  : 2022/06/18 00:17:29

Total sieving time: 2hrs 17min 1secs.

Total relation processing time: 0hrs 17min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 16sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 15, 2022 19:20:44 UTC 2022 年 6 月 16 日 (木) 4 時 20 分 44 秒 (日本時間)

29×10178+349

c152

name 名前Eric Jeancolas
date 日付June 26, 2022 15:31:02 UTC 2022 年 6 月 27 日 (月) 0 時 31 分 2 秒 (日本時間)
composite number 合成数
21117676113284603179606058325854957051254228525598471730440682251090797624322958343953618676298940292914378813887780820948925229211263262605896226944183<152>
prime factors 素因数
87658022014115364951163768641948600509<38>
2798428320571138780808713936320160346066295137<46>
86087534644474294949517292120211000056074003564836681809106382871651<68>
factorization results 素因数分解の結果
21117676113284603179606058325854957051254228525598471730440682251090797624322958343953618676298940292914378813887780820948925229211263262605896226944183=87658022014115364951163768641948600509*2798428320571138780808713936320160346066295137*86087534644474294949517292120211000056074003564836681809106382871651

cado polynomial
n: 21117676113284603179606058325854957051254228525598471730440682251090797624322958343953618676298940292914378813887780820948925229211263262605896226944183
skew: 0.26
type: snfs
c0: 17
c5: 14500
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 14500*x^5+17
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6800000
tasks.lim1 = 6800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 87658022014115364951163768641948600509 86087534644474294949517292120211000056074003564836681809106382871651 2798428320571138780808713936320160346066295137
Info:Square Root: Total cpu/real time for sqrt: 559.64/169.397
Info:Filtering - Singleton removal: Total cpu/real time for purge: 110.93/115.468
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22418499
Info:Lattice Sieving: Average J: 1893.97 for 1087630 special-q, max bucket fill -bkmult 1.0,1s:1.175080
Info:Lattice Sieving: Total time: 173347s
Info:Linear Algebra: Total cpu/real time for bwc: 20052.7/5149.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12733.06, WCT time 3257.46, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35584 iterations)
Info:Linear Algebra: Lingen CPU time 224.85, WCT time 57.0
Info:Linear Algebra: Mksol: CPU time 6905.23,  WCT time 1765.34, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17920 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.71/32.2534
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.1/105.506
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.4s
Info:Filtering - Merging: Merged matrix has 1131636 rows and total weight 193685856 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 272.58/75.7608
Info:Filtering - Merging: Total cpu/real time for replay: 40.12/33.9315
Info:Generate Factor Base: Total cpu/real time for makefb: 2.92/1.61099
Info:Quadratic Characters: Total cpu/real time for characters: 38.02/15.0499
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 215.03/178.846
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.2s
Info:Square Root: Total cpu/real time for sqrt: 559.64/169.397
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 344267/92946.6
Info:root: Cleaning up computation data in /tmp/cado.ei51bhcw
87658022014115364951163768641948600509 86087534644474294949517292120211000056074003564836681809106382871651 2798428320571138780808713936320160346066295137
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 15, 2022 19:21:13 UTC 2022 年 6 月 16 日 (木) 4 時 21 分 13 秒 (日本時間)

29×10179+349

c178

name 名前Bob Backstrom
date 日付June 17, 2022 10:27:26 UTC 2022 年 6 月 17 日 (金) 19 時 27 分 26 秒 (日本時間)
composite number 合成数
3929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393<178>
prime factors 素因数
2329881904534559647353615411495121223207913481877347<52>
1686583035708823933909654642248840229820066168406163739030775484897259873756384655850553726202262809463873057798056323737221419<127>
factorization results 素因数分解の結果
Number: n
N=3929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393  ( 178 digits)
SNFS difficulty: 180 digits.
Divisors found:

Fri Jun 17 20:21:52 2022  p52 factor: 2329881904534559647353615411495121223207913481877347
Fri Jun 17 20:21:52 2022  p127 factor: 1686583035708823933909654642248840229820066168406163739030775484897259873756384655850553726202262809463873057798056323737221419
Fri Jun 17 20:21:52 2022  elapsed time 00:21:29 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 29x10^179+34 = 32(178)6
#
n: 3929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393
m: 500000000000000000000000000000000000
deg: 5
c5: 232
c0: 85
skew: 0.82
# Murphy_E = 8.355e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3003045 hash collisions in 28776565 relations (27537553 unique)
Msieve: matrix is 872026 x 872255 (297.8 MB)

Sieving start time : 2022/06/17 14:54:37
Sieving end time  : 2022/06/17 19:59:24

Total sieving time: 5hrs 4min 47secs.

Total relation processing time: 0hrs 11min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 51sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 15, 2022 19:44:18 UTC 2022 年 6 月 16 日 (木) 4 時 44 分 18 秒 (日本時間)

29×10180+349

c150

name 名前Ignacio Santos
date 日付June 16, 2022 14:53:39 UTC 2022 年 6 月 16 日 (木) 23 時 53 分 39 秒 (日本時間)
composite number 合成数
312787365353769039876691337950409093673227916636797864258068541399636996627946921339739949022294125042579800018807816108472829800368342723904230589149<150>
prime factors 素因数
2174193792609917791814657<25>
composite cofactor 合成数の残り
143863608854432818305879946534617259135759142720516693640783394024316427329691119029805032785317233731671264468943902708584157<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2737148764
Step 1 took 4938ms
Step 2 took 3000ms
********** Factor found in step 2: 2174193792609917791814657
Found prime factor of 25 digits: 2174193792609917791814657
Composite cofactor 143863608854432818305879946534617259135759142720516693640783394024316427329691119029805032785317233731671264468943902708584157 has 126 digits
 
software ソフトウェア
GMP-ECM

c126

name 名前Erik Branger
date 日付June 17, 2022 15:31:07 UTC 2022 年 6 月 18 日 (土) 0 時 31 分 7 秒 (日本時間)
composite number 合成数
143863608854432818305879946534617259135759142720516693640783394024316427329691119029805032785317233731671264468943902708584157<126>
prime factors 素因数
2687193624147445942642957791860071506693723617<46>
53536748361434427837005548559281179817609430059173296046445017687749089947754621<80>
factorization results 素因数分解の結果
Number: 32226_180
N = 312787365353769039876691337950409093673227916636797864258068541399636996627946921339739949022294125042579800018807816108472829800368342723904230589149 (150 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=2174193792609917791814657 (pp25)
r2=2687193624147445942642957791860071506693723617 (pp46)
r3=53536748361434427837005548559281179817609430059173296046445017687749089947754621 (pp80)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 7.32 hours.
Factorization parameters were as follows:
n: 312787365353769039876691337950409093673227916636797864258068541399636996627946921339739949022294125042579800018807816108472829800368342723904230589149 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 29
c0: 34
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 5000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 50000000
maxb: 10000000
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/5000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 0
Relations: 4229708 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 1.33 hours.
Total relation processing time: 0.16 hours.
Pruned matrix : 4054009 x 4054234
Matrix solve time: 5.72 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,182,3,0,0,0,0,0,0,0,0,10000000,5000000,29,26,58,52,2.8,2.8,100000
total time: 7.32 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10181+349

c132

name 名前Erik Branger
date 日付June 18, 2022 10:44:35 UTC 2022 年 6 月 18 日 (土) 19 時 44 分 35 秒 (日本時間)
composite number 合成数
137535380237131719959228929467398542574162903324646849889103137673794936553536810041110615950555193674053476212683203790603417667957<132>
prime factors 素因数
88996448171003429594091678223351696174531410625682580967<56>
1545403025218068282251609678433307339584338216758528644040694532676908347971<76>
factorization results 素因数分解の結果
Number: 32226_181
N = 137535380237131719959228929467398542574162903324646849889103137673794936553536810041110615950555193674053476212683203790603417667957 (132 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=88996448171003429594091678223351696174531410625682580967 (pp56)
r2=1545403025218068282251609678433307339584338216758528644040694532676908347971 (pp76)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 10.53 hours.
Factorization parameters were as follows:
n: 137535380237131719959228929467398542574162903324646849889103137673794936553536810041110615950555193674053476212683203790603417667957 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 145
c0: 17
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 10000000
maxb: 10000000
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 17892172
Relations: 4923012 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 2.25 hours.
Total relation processing time: 0.31 hours.
Pruned matrix : 3813315 x 3813563
Matrix solve time: 7.91 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,183,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 10.53 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 16, 2022 14:54:33 UTC 2022 年 6 月 16 日 (木) 23 時 54 分 33 秒 (日本時間)

29×10185+349

c137

name 名前Ignacio Santos
date 日付June 18, 2022 20:17:44 UTC 2022 年 6 月 19 日 (日) 5 時 17 分 44 秒 (日本時間)
composite number 合成数
82588958904089512350298781369043307711188243014770419086225191234330427641953365870156003534034067955558147380310345328073748206321295711<137>
prime factors 素因数
13865188907233095037<20>
5956569323120082434772487214729512571890185523083815502160118164032544422842736524044773493887788692956735205416513803<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:361127230
Step 1 took 5797ms
********** Factor found in step 1: 13865188907233095037
Found prime factor of 20 digits: 13865188907233095037
Prime cofactor 5956569323120082434772487214729512571890185523083815502160118164032544422842736524044773493887788692956735205416513803 has 118 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10186+349

c172

name 名前Bob Backstrom
date 日付June 21, 2022 14:41:25 UTC 2022 年 6 月 21 日 (火) 23 時 41 分 25 秒 (日本時間)
composite number 合成数
1158357663660479709535679625707702308480661319526687525017939148188286790255808056962200573099887235929195422645571270491444622633661699603957094938487920933139063154133121<172>
prime factors 素因数
1764606469178323655470423983744553114678325364667426238509<58>
656439656032690759945401997634129758945092373299701122972012544661734643680127611020734929077288298245623369964069<114>
factorization results 素因数分解の結果
Number: n
N=1158357663660479709535679625707702308480661319526687525017939148188286790255808056962200573099887235929195422645571270491444622633661699603957094938487920933139063154133121  ( 172 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue Jun 21 21:05:10 2022  p58 factor: 1764606469178323655470423983744553114678325364667426238509
Tue Jun 21 21:05:10 2022  p114 factor: 656439656032690759945401997634129758945092373299701122972012544661734643680127611020734929077288298245623369964069
Tue Jun 21 21:05:10 2022  elapsed time 00:29:48 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 29x10^186+34 = 32(185)6
#
n: 1158357663660479709535679625707702308480661319526687525017939148188286790255808056962200573099887235929195422645571270491444622633661699603957094938487920933139063154133121
m: 10000000000000000000000000000000000000
deg: 5
c5: 145
c0: 17
skew: 0.65
# Murphy_E = 4.715e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3210763 hash collisions in 28771039 relations (27264593 unique)
Msieve: matrix is 1095795 x 1096021 (379.9 MB)

Sieving start time : 2022/06/21 16:42:02
Sieving end time  : 2022/06/21 20:34:34

Total sieving time: 3hrs 52min 32secs.

Total relation processing time: 0hrs 19min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 19, 2022 15:06:31 UTC 2022 年 6 月 20 日 (月) 0 時 6 分 31 秒 (日本時間)

29×10187+349

c180

name 名前Bob Backstrom
date 日付June 20, 2022 06:55:15 UTC 2022 年 6 月 20 日 (月) 15 時 55 分 15 秒 (日本時間)
composite number 合成数
829480382654517193134719232589005118540383621405291591729549717489564693443243030778762004876509449071543443837682404809846684967063307596044403698079826709306077134250307306750249<180>
prime factors 素因数
958276312639661281204310412882480477613059021211044078585885730547<66>
865596249968483815421947253943857348663934320659852338323804875655760004385188766974594325812113268378754103178867<114>
factorization results 素因数分解の結果
Number: n
N=829480382654517193134719232589005118540383621405291591729549717489564693443243030778762004876509449071543443837682404809846684967063307596044403698079826709306077134250307306750249  ( 180 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Jun 20 16:50:51 2022  p66 factor: 958276312639661281204310412882480477613059021211044078585885730547
Mon Jun 20 16:50:51 2022  p114 factor: 865596249968483815421947253943857348663934320659852338323804875655760004385188766974594325812113268378754103178867
Mon Jun 20 16:50:51 2022  elapsed time 00:41:41 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 29x10^187+34 = 32(186)6
#
n: 829480382654517193134719232589005118540383621405291591729549717489564693443243030778762004876509449071543443837682404809846684967063307596044403698079826709306077134250307306750249
m: 10000000000000000000000000000000000000
deg: 5
c5: 1450
c0: 17
skew: 0.41
# Murphy_E = 3.477e-11
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3431232 hash collisions in 28185864 relations (26333436 unique)
Msieve: matrix is 1259444 x 1259669 (435.7 MB)

Sieving start time : 2022/06/20 11:10:03
Sieving end time  : 2022/06/20 16:08:41

Total sieving time: 4hrs 58min 38secs.

Total relation processing time: 0hrs 27min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 12sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 19, 2022 15:30:35 UTC 2022 年 6 月 20 日 (月) 0 時 30 分 35 秒 (日本時間)

29×10188+349

c169

name 名前Ignacio Santos
date 日付June 19, 2022 16:11:52 UTC 2022 年 6 月 20 日 (月) 1 時 11 分 52 秒 (日本時間)
composite number 合成数
1150023448924588671711803001508835041901089108009121255136284915627028812889342181553900248376956885926472752975844409653431306647923190245441373503120912143652110929099<169>
prime factors 素因数
452243699027299440780953686267<30>
2542928627636154511091282167175602758313036939982866361534911684328247674703812794885947361790046674622804469760714526047609109189078403697<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2415304808
Step 1 took 7156ms
********** Factor found in step 1: 452243699027299440780953686267
Found prime factor of 30 digits: 452243699027299440780953686267
Prime cofactor 2542928627636154511091282167175602758313036939982866361534911684328247674703812794885947361790046674622804469760714526047609109189078403697 has 139 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10190+349

c170

name 名前Ignacio Santos
date 日付June 22, 2022 16:38:03 UTC 2022 年 6 月 23 日 (木) 1 時 38 分 3 秒 (日本時間)
composite number 合成数
61793752051055533098727350153728268258967860941943430556690291786240566148395764468809669721412746373912810275243672764979933246184187546795645055759441140077268577594403<170>
prime factors 素因数
8710137352008010073546271004448590571<37>
composite cofactor 合成数の残り
7094463560532691117984581656198737144280325386110505367400935339582220042244728336221490128188190543896267334827927770979669676500393<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2729303176
Step 1 took 7125ms
Step 2 took 3843ms
********** Factor found in step 2: 8710137352008010073546271004448590571
Found prime factor of 37 digits: 8710137352008010073546271004448590571
Composite cofactor 7094463560532691117984581656198737144280325386110505367400935339582220042244728336221490128188190543896267334827927770979669676500393 has 133 digits
software ソフトウェア
GMP-ECM

c133

name 名前Eric Jeancolas
date 日付July 14, 2022 12:31:18 UTC 2022 年 7 月 14 日 (木) 21 時 31 分 18 秒 (日本時間)
composite number 合成数
7094463560532691117984581656198737144280325386110505367400935339582220042244728336221490128188190543896267334827927770979669676500393<133>
prime factors 素因数
128034912264217650760388144841821378123848716925301<51>
55410383270246554491225983488729925233529331536905693813215868056342845638489227493<83>
factorization results 素因数分解の結果
7094463560532691117984581656198737144280325386110505367400935339582220042244728336221490128188190543896267334827927770979669676500393=
128034912264217650760388144841821378123848716925301*55410383270246554491225983488729925233529331536905693813215868056342845638489227493

cado polynomial
n: 7094463560532691117984581656198737144280325386110505367400935339582220042244728336221490128188190543896267334827927770979669676500393
skew: 147329.832
c0: 21769373212581021583283397893857
c1: -519987242029282526527070926
c2: -2721174663271485038929
c3: 11470125614847154
c4: 121141905444
c5: 405720
Y0: -34847549480364808560353144
Y1: 2415394104958848091
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.442e-07
# f(x) = 405720*x^5+121141905444*x^4+11470125614847154*x^3-2721174663271485038929*x^2-519987242029282526527070926*x+21769373212581021583283397893857
# g(x) = 2415394104958848091*x-34847549480364808560353144

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 55410383270246554491225983488729925233529331536905693813215868056342845638489227493 128034912264217650760388144841821378123848716925301
Info:Square Root: Total cpu/real time for sqrt: 804.66/237.297
Info:Generate Free Relations: Total cpu/real time for freerel: 247.4/62.6643
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.33/87.5581
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.4s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54640/39.620/47.729/53.480/0.993
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44651/38.640/42.527/48.390/0.976
Info:Polynomial Selection (size optimized): Total time: 11179.8
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 193.03/161.71
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 149.89999999999998s
Info:Square Root: Total cpu/real time for sqrt: 804.66/237.297
Info:Quadratic Characters: Total cpu/real time for characters: 40.45/16.687
Info:Generate Factor Base: Total cpu/real time for makefb: 15.22/4.04701
Info:Filtering - Singleton removal: Total cpu/real time for purge: 98.17/104.515
Info:Linear Algebra: Total cpu/real time for bwc: 22637.2/5812.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14350.51, WCT time 3670.0, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Linear Algebra: Lingen CPU time 230.91, WCT time 58.52
Info:Linear Algebra: Mksol: CPU time 7852.29,  WCT time 2009.45, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18944 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6231.06
Info:Polynomial Selection (root optimized): Rootsieve time: 6228.6
Info:Filtering - Merging: Merged matrix has 1211718 rows and total weight 206457703 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 314.95/88.0554
Info:Filtering - Merging: Total cpu/real time for replay: 44.56/37.6258
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17020840
Info:Lattice Sieving: Average J: 3808.33 for 533747 special-q, max bucket fill -bkmult 1.0,1s:1.279850
Info:Lattice Sieving: Total time: 180447s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 379801/62691.2
55410383270246554491225983488729925233529331536905693813215868056342845638489227493 128034912264217650760388144841821378123848716925301
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 24, 2022 17:17:31 UTC 2022 年 6 月 25 日 (土) 2 時 17 分 31 秒 (日本時間)

29×10191+349

c172

name 名前Bob Backstrom
date 日付June 24, 2022 06:31:34 UTC 2022 年 6 月 24 日 (金) 15 時 31 分 34 秒 (日本時間)
composite number 合成数
8671402449391619552399563880131554409233718467252983892769567379209852101131532201854823292252053038253053889958379796465917710864958192562646031684585725467052479033075937<172>
prime factors 素因数
5225519777734778682805829900860054946525936209<46>
89037191709816931835687658435855796834784431327511578573<56>
18637531623254521661860584118836920193988538264441021872596382398358741<71>
factorization results 素因数分解の結果
Number: n
N=8671402449391619552399563880131554409233718467252983892769567379209852101131532201854823292252053038253053889958379796465917710864958192562646031684585725467052479033075937  ( 172 digits)
SNFS difficulty: 192 digits.
Divisors found:

Fri Jun 24 05:36:00 2022  found factor: 89037191709816931835687658435855796834784431327511578573
Fri Jun 24 05:37:54 2022  found factor: 89037191709816931835687658435855796834784431327511578573
Fri Jun 24 05:39:48 2022  found factor: 89037191709816931835687658435855796834784431327511578573
Fri Jun 24 05:41:41 2022  p46 factor: 5225519777734778682805829900860054946525936209
Fri Jun 24 05:41:41 2022  p56 factor: 89037191709816931835687658435855796834784431327511578573
Fri Jun 24 05:41:41 2022  p71 factor: 18637531623254521661860584118836920193988538264441021872596382398358741
Fri Jun 24 05:41:41 2022  elapsed time 00:53:59 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 29x10^191+34 = 32(190)6
#
n: 8671402449391619552399563880131554409233718467252983892769567379209852101131532201854823292252053038253053889958379796465917710864958192562646031684585725467052479033075937
m: 100000000000000000000000000000000000000
deg: 5
c5: 145
c0: 17
skew: 0.65
# Murphy_E = 2.937e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3187612 hash collisions in 28080666 relations (26529590 unique)
Msieve: matrix is 1428797 x 1429022 (496.5 MB)

Sieving start time : 2022/06/23 23:45:09
Sieving end time  : 2022/06/24 04:47:14

Total sieving time: 5hrs 2min 5secs.

Total relation processing time: 0hrs 38min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 36sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10192+349

c160

name 名前anonymous
date 日付June 12, 2022 19:59:42 UTC 2022 年 6 月 13 日 (月) 4 時 59 分 42 秒 (日本時間)
composite number 合成数
8365862869820655522853552881569786932265275060305468855128063463668902488527080502993717932193622823262558963213476727495126332047493964418429024643125047814937<160>
prime factors 素因数
2251273684469200496249<22>
composite cofactor 合成数の残り
3716057682161881218122607210681216765330404164520631709515086583477985810456889610388376428771147283246847679431670393185688085926103761313<139>
factorization results 素因数分解の結果
p22:2251273684469200496249
c139:371605768216188121812260721068121676533040416452063170951508658347798581045688961038837642877114728324684767943167039318
5688085926103761313
software ソフトウェア
ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 26, 2022 17:43:44 UTC 2022 年 6 月 27 日 (月) 2 時 43 分 44 秒 (日本時間)

29×10193+349

c150

name 名前Eric Jeancolas
date 日付June 20, 2022 04:03:11 UTC 2022 年 6 月 20 日 (月) 13 時 3 分 11 秒 (日本時間)
composite number 合成数
132188401156572447290827383423359517320942841114934055684315730853567171021200083318100432293270715207756147520745458664505029607224932649043742904239<150>
prime factors 素因数
2800694411579098249909349959<28>
composite cofactor 合成数の残り
47198437862430509390636504903568584648802635531606656995360578670091758913737837161685432182428190228704109005727452888921<122>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 132188401156572447290827383423359517320942841114934055684315730853567171021200083318100432293270715207756147520745458664505029607224932649043742904239 (150 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1725682354
Step 1 took 1958ms
Step 2 took 1277ms
********** Factor found in step 2: 2800694411579098249909349959
Found prime factor of 28 digits: 2800694411579098249909349959
Composite cofactor 47198437862430509390636504903568584648802635531606656995360578670091758913737837161685432182428190228704109005727452888921 has 122 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

c122

name 名前Eric Jeancolas
date 日付June 22, 2022 03:40:56 UTC 2022 年 6 月 22 日 (水) 12 時 40 分 56 秒 (日本時間)
composite number 合成数
47198437862430509390636504903568584648802635531606656995360578670091758913737837161685432182428190228704109005727452888921<122>
prime factors 素因数
1919384461500364421462846444333069571190010330040633277<55>
24590403230385611892648586937931009964827538548812650260812361716173<68>
factorization results 素因数分解の結果
47198437862430509390636504903568584648802635531606656995360578670091758913737837161685432182428190228704109005727452888921=1919384461500364421462846444333069571190010330040633277*24590403230385611892648586937931009964827538548812650260812361716173

cado polynomial
n: 47198437862430509390636504903568584648802635531606656995360578670091758913737837161685432182428190228704109005727452888921
skew: 470094.008
c0: 15856869473300790294890130263214
c1: 202963466802644816016690619
c2: -537566254997502777594
c3: -1111943259361831
c4: 1072153872
c5: 1440
Y0: -721724712636747995946960
Y1: 4182254825763509
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.281e-06
# f(x) = 1440*x^5+1072153872*x^4-1111943259361831*x^3-537566254997502777594*x^2+202963466802644816016690619*x+15856869473300790294890130263214
# g(x) = 4182254825763509*x-721724712636747995946960

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 24590403230385611892648586937931009964827538548812650260812361716173 1919384461500364421462846444333069571190010330040633277
Info:Square Root: Total cpu/real time for sqrt: 230.39/68.6316
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.32/178.314
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 105.17/121.696
Info:Linear Algebra: Total cpu/real time for bwc: 6255.24/1631.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3833.57, WCT time 997.27, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 145.85, WCT time 37.1
Info:Linear Algebra: Mksol: CPU time 2193.03,  WCT time 567.75, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13972156
Info:Lattice Sieving: Average J: 2000.67 for 296085 special-q, max bucket fill -bkmult 1.0,1s:1.268090
Info:Lattice Sieving: Total time: 37013.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/1.36471
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2011.24
Info:Polynomial Selection (root optimized): Rootsieve time: 2008.85
Info:Generate Free Relations: Total cpu/real time for freerel: 126.08/32.7429
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.42/63.2529
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 62.9s
Info:Filtering - Merging: Merged matrix has 802695 rows and total weight 81808688 (101.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 61.8/20.6297
Info:Filtering - Merging: Total cpu/real time for replay: 20.48/16.1589
Info:Quadratic Characters: Total cpu/real time for characters: 25.95/10.023
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20029/36.410/43.540/48.400/1.048
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16112/34.570/38.586/44.010/0.885
Info:Polynomial Selection (size optimized): Total time: 2233.48
Info:Square Root: Total cpu/real time for sqrt: 230.39/68.6316
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 79651.4/21753.6
Info:root: Cleaning up computation data in /tmp/cado.3vdot8eg
24590403230385611892648586937931009964827538548812650260812361716173 1919384461500364421462846444333069571190010330040633277
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 21, 2022 16:52:35 UTC 2022 年 6 月 22 日 (水) 1 時 52 分 35 秒 (日本時間)

29×10195+349

c172

name 名前Eric Jeancolas
date 日付June 20, 2022 04:06:41 UTC 2022 年 6 月 20 日 (月) 13 時 6 分 41 秒 (日本時間)
composite number 合成数
2485761853109447911296800105619702272532292949142689352858621294822502265972969551941758429528492045529148077177679603555998863669262164336592499466583065678219413482530603<172>
prime factors 素因数
35903205290317104215183321027<29>
composite cofactor 合成数の残り
69235095669295134696912352570785753975443717117014557477962733043417693302590682574143047676017181846663311303947474122856619711427456851309689<143>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2485761853109447911296800105619702272532292949142689352858621294822502265972969551941758429528492045529148077177679603555998863669262164336592499466583065678219413482530603 (172 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3006226403
Step 1 took 2218ms
Step 2 took 1387ms
********** Factor found in step 2: 35903205290317104215183321027
Found prime factor of 29 digits: 35903205290317104215183321027
Composite cofactor 69235095669295134696912352570785753975443717117014557477962733043417693302590682574143047676017181846663311303947474122856619711427456851309689 has 143 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 26, 2022 09:39:35 UTC 2022 年 7 月 26 日 (火) 18 時 39 分 35 秒 (日本時間)

29×10196+349

c162

name 名前Bob Backstrom
date 日付July 26, 2022 05:52:02 UTC 2022 年 7 月 26 日 (火) 14 時 52 分 2 秒 (日本時間)
composite number 合成数
682448313072343848205602563634527300891794953478907289377493758777685499583200759470693444085637705533346691754771856070704340501582828740480291714507205813945563<162>
prime factors 素因数
195378412292761163233461082983050337115043<42>
141157481889408483749466134778009825745827178603<48>
24745104154850031712219729313990082445573198505604759371765536493863489147<74>
factorization results 素因数分解の結果
#
# N = 29x10^196+34 = 32(195)6
#
# n: 682448313072343848205602563634527300891794953478907289377493758777685499583200759470693444085637705533346691754771856070704340501582828740480291714507205813945563
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 682448313072343848205602563634527300891794953478907289377493758777685499583200759470693444085637705533346691754771856070704340501582828740480291714507205813945563 (162 digits)
# Using B1=20910000, B2=70273279450, polynomial Dickson(12), sigma=1:1078678105
# Step 1 took 48184ms
# Step 2 took 18270ms
# ********** Factor found in step 2: 195378412292761163233461082983050337115043
# Found prime factor of 42 digits: 195378412292761163233461082983050337115043
# Composite cofactor 3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641 has 121 digits
#
#
n: 3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641
m: 1000000000000000000000000000000000000000
deg: 5
c5: 145
c0: 17
skew: 0.65
# Murphy_E = 1.822e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5


CADO

STA:Tue 26 Jul 2022 13:56:50 AEST (3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641 - C121)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641 2>&1 | tee -a log174

Debug:root: Looking for parameter file for c121 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ke_mkh8n
Info:Database: Opened connection to database /tmp/cado.ke_mkh8n/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641
Debug:root: Root parameter dictionary:
N = 3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641
skew: 176518.239
c0: 227017131830583685314181601000
c1: 2325609940926470186387110
c2: -176331539651753488469
c3: -261120314687569
c4: 763386954
c5: 4560
Y0: -271483822935109647503529
Y1: 70246564242911977
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.6e-09
# f(x) = 4560*x^5+763386954*x^4-261120314687569*x^3-176331539651753488469*x^2+2325609940926470186387110*x+227017131830583685314181601000
# g(x) = 70246564242911977*x-271483822935109647503529
===
Info:Square Root: finished
Info:Square Root: Factors: 24745104154850031712219729313990082445573198505604759371765536493863489147 141157481889408483749466134778009825745827178603
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10527/35.480/43.109/48.350/1.049
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10527/34.300/38.345/43.600/1.145
Info:Polynomial Selection (size optimized): Total time: 1146.6
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 468.24
Info:Polynomial Selection (root optimized): Rootsieve time: 467.27
Info:Generate Factor Base: Total cpu/real time for makefb: 23.86/2.16178
Info:Generate Free Relations: Total cpu/real time for freerel: 148.74/9.87749
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10419374
Info:Lattice Sieving: Average J: 8192 for 20056 special-q, max bucket fill: 0.682631
Info:Lattice Sieving: Total CPU time: 63094.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.47/33.7436
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.49999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 189.46/82.0128
Info:Filtering - Singleton removal: Total cpu/real time for purge: 116.16/63.9088
Info:Filtering - Merging: Total cpu/real time for merge: 382.05/306.891
Info:Filtering - Merging: Total cpu/real time for replay: 31.26/24.0484
Info:Linear Algebra: Total cpu/real time for bwc: 18303.4/0.000312328
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 755.12
Info:Linear Algebra: Lingen CPU time 201.44, WCT time 19.97
Info:Linear Algebra: Mksol: WCT time 425.53
Info:Quadratic Characters: Total cpu/real time for characters: 34.63/8.11978
Info:Square Root: Total cpu/real time for sqrt: 798.76/114.162
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 84764/6093.5
Info:root: Cleaning up computation data in /tmp/cado.ke_mkh8n
24745104154850031712219729313990082445573198505604759371765536493863489147 141157481889408483749466134778009825745827178603

END:Tue 26 Jul 2022 15:38:24 AEST (3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641 - C121)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10197+349

c134

name 名前ebina
date 日付June 14, 2022 21:34:47 UTC 2022 年 6 月 15 日 (水) 6 時 34 分 47 秒 (日本時間)
composite number 合成数
22966527971858695484011047870537391956134607899873897211188269123317584049147887556027145175084418983571427234279105870316325175580621<134>
prime factors 素因数
16723813358320167022740969482006621711654417<44>
1373282963626997897411340918213787594235977381463813797367150674799222147699887276617519613<91>
factorization results 素因数分解の結果
Number: 32226_197
N = 22966527971858695484011047870537391956134607899873897211188269123317584049147887556027145175084418983571427234279105870316325175580621 (134 digits)
Divisors found:
r1=16723813358320167022740969482006621711654417 (pp44)
r2=1373282963626997897411340918213787594235977381463813797367150674799222147699887276617519613 (pp91)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 30.07 hours.
Factorization parameters were as follows:
n: 22966527971858695484011047870537391956134607899873897211188269123317584049147887556027145175084418983571427234279105870316325175580621
# norm 8.083494e-13 alpha -5.992320 e 4.914e-11 rroots 3
skew: 1856718.24
c0: -1141519382194745589605876380037040
c1: -2774162053468540735118251746
c2: -968827539045355058027
c3: -1939276790685883
c4: 2189583541
c5: 228
Y0: -158719986665937005482882601
Y1: 91557443654627
type: gnfs
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21782584
Relations: 3087576 relations
Pruned matrix : 1788860 x 1789093
Polynomial selection time: 0.36 hours.
Total sieving time: 26.64 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 2.03 hours.
time per square root: 0.76 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,8900000,8900000,28,28,55,55,2.5,2.5,100000
total time: 30.07 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 3.39GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10198+349

c181

name 名前Ignacio Santos
date 日付August 27, 2022 16:09:57 UTC 2022 年 8 月 28 日 (日) 1 時 9 分 57 秒 (日本時間)
composite number 合成数
5626240141782227073337892225332247689149481905447921816426723624856051829756572716285030628950274341860722389375552313755222380768163615468800653641738839019587891802368595282735113<181>
prime factors 素因数
288772424064155626437887587<27>
composite cofactor 合成数の残り
19483301288256885893341635259901224665472691077578846681466091932971900143876154197105520010302508418649351264632015408054730143615289564020786492988872099<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:869489969
Step 1 took 8516ms
Step 2 took 4234ms
********** Factor found in step 2: 288772424064155626437887587
Found prime factor of 27 digits: 288772424064155626437887587
Composite cofactor 19483301288256885893341635259901224665472691077578846681466091932971900143876154197105520010302508418649351264632015408054730143615289564020786492988872099 has 155 digits
 
software ソフトウェア
GMP-ECM

c155

name 名前Bob Backstrom
date 日付September 9, 2022 20:26:45 UTC 2022 年 9 月 10 日 (土) 5 時 26 分 45 秒 (日本時間)
composite number 合成数
19483301288256885893341635259901224665472691077578846681466091932971900143876154197105520010302508418649351264632015408054730143615289564020786492988872099<155>
prime factors 素因数
173216881195461466006928978681937690743257<42>
112479229240200502459818640503071610305917857443097565585668506278821133704341825474131456936943628162030102034907<114>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 19483301288256885893341635259901224665472691077578846681466091932971900143876154197105520010302508418649351264632015408054730143615289564020786492988872099 (155 digits)
Using B1=20510000, B2=70272954580, polynomial Dickson(12), sigma=1:48242491
Step 1 took 48468ms
Step 2 took 18416ms
********** Factor found in step 2: 173216881195461466006928978681937690743257
Found prime factor of 42 digits: 173216881195461466006928978681937690743257
Prime cofactor 112479229240200502459818640503071610305917857443097565585668506278821133704341825474131456936943628162030102034907 has 114 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 30, 2022 11:07:41 UTC 2022 年 8 月 30 日 (火) 20 時 7 分 41 秒 (日本時間)

29×10199+349

c184

name 名前Eric Jeancolas
date 日付June 20, 2022 04:10:41 UTC 2022 年 6 月 20 日 (月) 13 時 10 分 41 秒 (日本時間)
composite number 合成数
1561924297378455514941337906936240777977295236524968686337733642890258465143718057203897655554031072300089436547211498363467044549454299140438980912248079860663013238618253097362252781<184>
prime factors 素因数
214067808655081280434809897067<30>
7296399711808702451727422658844024572299619738799340921182223582983787431736717606350860177275804995430999358584902893617580425336542118719606560390996743<154>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1561924297378455514941337906936240777977295236524968686337733642890258465143718057203897655554031072300089436547211498363467044549454299140438980912248079860663013238618253097362252781 (184 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3345755878
Step 1 took 2738ms
********** Factor found in step 1: 214067808655081280434809897067
Found prime factor of 30 digits: 214067808655081280434809897067
Prime cofactor 7296399711808702451727422658844024572299619738799340921182223582983787431736717606350860177275804995430999358584902893617580425336542118719606560390996743 has 154 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10200+349

c166

name 名前Eric Jeancolas
date 日付June 20, 2022 04:15:21 UTC 2022 年 6 月 20 日 (月) 13 時 15 分 21 秒 (日本時間)
composite number 合成数
1806700785955704715322423799032959778135857868341613503998605290663064257651560534096850404495638556006730463251818767208874813716680568388833190504058580662824732091<166>
prime factors 素因数
846130115176963954158047283244819<33>
2135251722576783746046498232641866152728537159747939205860936602090739256047433336335412305800416136109654973544620651682409520552889<133>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1806700785955704715322423799032959778135857868341613503998605290663064257651560534096850404495638556006730463251818767208874813716680568388833190504058580662824732091 (166 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:352109020
Step 1 took 2386ms
Step 2 took 1354ms
********** Factor found in step 2: 846130115176963954158047283244819
Found prime factor of 33 digits: 846130115176963954158047283244819
Prime cofactor 2135251722576783746046498232641866152728537159747939205860936602090739256047433336335412305800416136109654973544620651682409520552889 has 133 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10201+349

c173

name 名前ebina
date 日付July 27, 2022 04:53:50 UTC 2022 年 7 月 27 日 (水) 13 時 53 分 50 秒 (日本時間)
composite number 合成数
60632096009785939649295090591234883224079199124035566603093562337072071354189078006240664185627540580663498229360792357031473983443094459981363521024120450317772847604479533<173>
prime factors 素因数
9858386238218583480893454587607565279<37>
6150306403570387710248827374977648361785188648848291567713748153664173285470048710858208133644018408961694410900678608535107042617223027<136>
factorization results 素因数分解の結果
X:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3775441279 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 60632096009785939649295090591234883224079199124035566603093562337072071354189078006240664185627540580663498229360792357031473983443094459981363521024120450317772847604479533 (173 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3775441279
Step 1 took 7785ms
Step 2 took 5538ms
********** Factor found in step 2: 9858386238218583480893454587607565279
Found probable prime factor of 37 digits: 9858386238218583480893454587607565279
Probable prime cofactor 6150306403570387710248827374977648361785188648848291567713748153664173285470048710858208133644018408961694410900678608535107042617223027 has 136 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10203+349

c164

name 名前Dmitry Domanov
date 日付October 6, 2022 22:23:46 UTC 2022 年 10 月 7 日 (金) 7 時 23 分 46 秒 (日本時間)
composite number 合成数
69895811759752396940981148784619604695605963480939194556841743748868652501063623508549782644825360158509788048619475895158818939284134281179108553200054126486932841<164>
prime factors 素因数
382107537659461700677505881860058614408263<42>
182921834486406513566169891257673932526545230401665041510200498471485174709571392655428376654314251746038422468062296525007<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2081583154
Step 1 took 22826ms
Step 2 took 11827ms
********** Factor found in step 2: 382107537659461700677505881860058614408263
Found prime factor of 42 digits: 382107537659461700677505881860058614408263
Prime cofactor 182921834486406513566169891257673932526545230401665041510200498471485174709571392655428376654314251746038422468062296525007 has 123 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:00:39 UTC 2022 年 10 月 5 日 (水) 10 時 0 分 39 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovOctober 5, 2022 01:00:39 UTC 2022 年 10 月 5 日 (水) 10 時 0 分 39 秒 (日本時間)

29×10204+349

c146

composite cofactor 合成数の残り
31004957531415990602115126431484674774343616827440834844239447533693186798893448234013070410495710288887249690385833247006729710804245198416670191<146>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:00:46 UTC 2022 年 10 月 5 日 (水) 10 時 0 分 46 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:00:46 UTC 2022 年 10 月 5 日 (水) 10 時 0 分 46 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:07:21 UTC 2022 年 10 月 28 日 (金) 22 時 7 分 21 秒 (日本時間)

29×10205+349

c177

composite cofactor 合成数の残り
404380152481164871226149248211057106978261951640139221840092892912207579333395153881808808631278544310068570775518811880206931869908209543141043952636830417396139083806687453869<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:00:52 UTC 2022 年 10 月 5 日 (水) 10 時 0 分 52 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:00:52 UTC 2022 年 10 月 5 日 (水) 10 時 0 分 52 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:07:23 UTC 2022 年 10 月 28 日 (金) 22 時 7 分 23 秒 (日本時間)

29×10206+349

c201

composite cofactor 合成数の残り
354621116684776800246327164637867029798690151878110118905683255842505180525382189851428426086320649391971524658029074529374979059011644045507916488438984746645223094590169266773150828187047231375115527<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:51:15 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 15 秒 (日本時間)
4511e62792 / 40381792Dmitry DomanovOctober 10, 2022 06:51:15 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 15 秒 (日本時間)
1000Dmitry DomanovNovember 1, 2022 17:08:56 UTC 2022 年 11 月 2 日 (水) 2 時 8 分 56 秒 (日本時間)

29×10207+349

c208

name 名前Dmitry Domanov
date 日付October 11, 2022 14:03:17 UTC 2022 年 10 月 11 日 (火) 23 時 3 分 17 秒 (日本時間)
composite number 合成数
1611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<208>
prime factors 素因数
1985623305557698779579653566986834239309<40>
composite cofactor 合成数の残り
811388094912897368926040145203590369880525514535521802257562258926550425480688943714116984658255534178832126616227040609500975649377882376277355482137337811609379624557<168>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1959bab85a66 with GMP-ECM 7.0.5-dev on Mon Oct 10 12:00:13 2022 
Input number is 1611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (208 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2570273493
Step 1 took 0ms
Step 2 took 12637ms
********** Factor found in step 2: 1985623305557698779579653566986834239309
Found prime factor of 40 digits: 1985623305557698779579653566986834239309
Composite cofactor 811388094912897368926040145203590369880525514535521802257562258926550425480688943714116984658255534178832126616227040609500975649377882376277355482137337811609379624557 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:51:21 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 21 秒 (日本時間)
4511e62792 / 40381792Dmitry DomanovOctober 10, 2022 06:51:21 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 21 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:07:30 UTC 2022 年 10 月 28 日 (金) 22 時 7 分 30 秒 (日本時間)

29×10208+349

c188

composite cofactor 合成数の残り
17618938140228824393669366200449979837950706570709024453757326457120358302812093545021191862734266668769657007853848604217522164721015945225261404465722228556999436388299517366749400628753<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:00:59 UTC 2022 年 10 月 5 日 (水) 10 時 0 分 59 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:00:59 UTC 2022 年 10 月 5 日 (水) 10 時 0 分 59 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:07:38 UTC 2022 年 10 月 28 日 (金) 22 時 7 分 38 秒 (日本時間)

29×10210+349

c198

composite cofactor 合成数の残り
178833802082006211694499516620948820016011848163190595758207316733345821031038487450483138135301826085430010457088017049104038980859210763152250419120962989368819224666835676058623505289398953450131<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:01:04 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 4 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:01:04 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 4 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:07:45 UTC 2022 年 10 月 28 日 (金) 22 時 7 分 45 秒 (日本時間)

29×10212+349

c193

composite cofactor 合成数の残り
8552533733574696896305941439193705046280015807854624916685716339650761476367361556672987224509756587742506489705802811576906270621104119660502976975901345155008149571431884999227377162153157261<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:01:10 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 10 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:01:10 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 10 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:07:50 UTC 2022 年 10 月 28 日 (金) 22 時 7 分 50 秒 (日本時間)

29×10214+349

c195

composite cofactor 合成数の残り
722734419768511319885359661801072633812156508034989654351034687752973308520682397844950583571526071725656971606633022009139464501165489778160453158849455757696390936084219150080707195204623846523<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:01:18 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 18 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:01:18 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 18 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:07:57 UTC 2022 年 10 月 28 日 (金) 22 時 7 分 57 秒 (日本時間)

29×10215+349

c193

composite cofactor 合成数の残り
1076461290455325300703577588009193514528908098097871566733143236808451778738116689333366128307147950620894614612806113644117572868368587843930138988572643054613261528648713848661241229844174723<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:01:24 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 24 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:01:24 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 24 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:08:06 UTC 2022 年 10 月 28 日 (金) 22 時 8 分 6 秒 (日本時間)

29×10216+349

c178

composite cofactor 合成数の残り
1112806876113150004190403892094673482185133680009286368934221547427291514724450061713522340942498169558941096839475087694767419096278406658192536625681153927203956263557470970983<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:01:30 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 30 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:01:30 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 30 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:08:17 UTC 2022 年 10 月 28 日 (金) 22 時 8 分 17 秒 (日本時間)

29×10217+349

c182

composite cofactor 合成数の残り
32044433056749484189669996310216241349082751266958759109156209351720208831800042758743492462629690663648015415666852559454807600838127746235258673933717262108620025656055007987662993<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:01:35 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 35 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:01:35 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 35 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:08:21 UTC 2022 年 10 月 28 日 (金) 22 時 8 分 21 秒 (日本時間)

29×10218+349

c151

name 名前Eric Jeancolas
date 日付June 20, 2022 17:24:37 UTC 2022 年 6 月 21 日 (火) 2 時 24 分 37 秒 (日本時間)
composite number 合成数
3677949200979627347012196111393709770009083567727159573969999639577653926924902155694306022827870165173753688001962358917895979035896847068876575331501<151>
prime factors 素因数
76030719627891343526503573218337<32>
48374515182549937698177896610463800084796730350002073878274401064848874453580667092710445011251975235484583305407061773<119>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3677949200979627347012196111393709770009083567727159573969999639577653926924902155694306022827870165173753688001962358917895979035896847068876575331501 (151 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3001276979
Step 1 took 2447ms
Step 2 took 1494ms
********** Factor found in step 2: 76030719627891343526503573218337
Found prime factor of 32 digits: 76030719627891343526503573218337
Prime cofactor 48374515182549937698177896610463800084796730350002073878274401064848874453580667092710445011251975235484583305407061773 has 119 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10219+349

c218

name 名前Erik Branger
date 日付August 15, 2022 15:55:09 UTC 2022 年 8 月 16 日 (火) 0 時 55 分 9 秒 (日本時間)
composite number 合成数
39295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393<218>
prime factors 素因数
210726145139586642725333801498142573567893772642269084925316080603684796375117<78>
186476115376665597909088159448484007874614789638785074871363074682528889203003530188140869590709998608153834883143288731248219929842192901029<141>
factorization results 素因数分解の結果
Number: 32226_219
N = 39295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393 (218 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=210726145139586642725333801498142573567893772642269084925316080603684796375117 (pp78)
r2=186476115376665597909088159448484007874614789638785074871363074682528889203003530188140869590709998608153834883143288731248219929842192901029 (pp141)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 80.60 hours.
Factorization parameters were as follows:
n: 39295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 29
c0: 340
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30565182
Relations: 9251506 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 26.96 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 7863743 x 7863968
Matrix solve time: 52.30 hours.
time per square root: 0.96 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 80.60 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10220+349

c202

name 名前Erik Branger
date 日付August 15, 2022 15:55:34 UTC 2022 年 8 月 16 日 (火) 0 時 55 分 34 秒 (日本時間)
composite number 合成数
8068795059575301210610085740550840933499063923613021297320104309242933811272388174448969664526209857845446840266604544308679266562804337949715546903487045463254739350185825855843083766351087729178791637<202>
prime factors 素因数
72558347663057283196862719997608825106267718833<47>
46568289663162459300548529132925871349015704074996765025962217448826639<71>
2387981803022927834332080004047615063908747737295166847400609113852033669687533055051<85>
factorization results 素因数分解の結果
Number: 32226_220
N = 8068795059575301210610085740550840933499063923613021297320104309242933811272388174448969664526209857845446840266604544308679266562804337949715546903487045463254739350185825855843083766351087729178791637 (202 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=72558347663057283196862719997608825106267718833 (pp47)
r2=46568289663162459300548529132925871349015704074996765025962217448826639 (pp71)
r3=2387981803022927834332080004047615063908747737295166847400609113852033669687533055051 (pp85)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.26 hours.
Factorization parameters were as follows:
n: 8068795059575301210610085740550840933499063923613021297320104309242933811272388174448969664526209857845446840266604544308679266562804337949715546903487045463254739350185825855843083766351087729178791637
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 29
c0: 34
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31308148
Relations: 8715754 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 24.43 hours.
Total relation processing time: 0.44 hours.
Pruned matrix : 7418658 x 7418883
Matrix solve time: 35.78 hours.
time per square root: 0.61 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 61.26 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10221+349

c166

name 名前Erik Branger
date 日付August 15, 2022 15:57:05 UTC 2022 年 8 月 16 日 (火) 0 時 57 分 5 秒 (日本時間)
composite number 合成数
3184398091391443410092673958130921496892956951284597002142641042094364790922831592152666125118632325446624361940519853798940164356940435556386468326976062908713642589<166>
prime factors 素因数
2125183457985018868785363969011703510856255463974011003903492339924073259284037<79>
1498410915738405536109153144435085321734242756713181284442083675639132328174841063543097<88>
factorization results 素因数分解の結果
Number: 32226_221
N = 3184398091391443410092673958130921496892956951284597002142641042094364790922831592152666125118632325446624361940519853798940164356940435556386468326976062908713642589 (166 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=2125183457985018868785363969011703510856255463974011003903492339924073259284037 (pp79)
r2=1498410915738405536109153144435085321734242756713181284442083675639132328174841063543097 (pp88)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 74.61 hours.
Factorization parameters were as follows:
n: 3184398091391443410092673958130921496892956951284597002142641042094364790922831592152666125118632325446624361940519853798940164356940435556386468326976062908713642589
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 145
c0: 17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30167807
Relations: 9007004 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 25.50 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 7673493 x 7673718
Matrix solve time: 48.24 hours.
time per square root: 0.49 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 74.61 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10222+349

c215

name 名前Dmitry Domanov
date 日付September 7, 2022 09:48:51 UTC 2022 年 9 月 7 日 (水) 18 時 48 分 51 秒 (日本時間)
composite number 合成数
45349838647932529473352730366319827034839675763165615649752674959450754530459045547466989610061101276294895914129348667571230186213724738345426899908580667678418439326962231456512746468202261618971912965252712804673<215>
prime factors 素因数
198881991699847184214518340317809372227583<42>
composite cofactor 合成数の残り
228023856058192196382880551726352313040798751325952914712751000219227893567591722420581093445381966389344545400288539554332455352450420268721794898472762815584374381510551231<174>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 15:34:06 2022 
Input number is 45349838647932529473352730366319827034839675763165615649752674959450754530459045547466989610061101276294895914129348667571230186213724738345426899908580667678418439326962231456512746468202261618971912965252712804673 (215 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3406127637
Step 1 took 0ms
Step 2 took 4391ms
********** Factor found in step 2: 198881991699847184214518340317809372227583
Found prime factor of 42 digits: 198881991699847184214518340317809372227583
Composite cofactor 228023856058192196382880551726352313040798751325952914712751000219227893567591722420581093445381966389344545400288539554332455352450420268721794898472762815584374381510551231 has 174 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 7, 2022 09:48:26 UTC 2022 年 9 月 7 日 (水) 18 時 48 分 26 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:01:41 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 41 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:08:58 UTC 2022 年 10 月 28 日 (金) 22 時 8 分 58 秒 (日本時間)

29×10227+349

c210

composite cofactor 合成数の残り
767985328313390254937433716590267035834689176038355775218963214874652152978574570164283671390500562152568464014386576222736145299561647834935897141826177190781431345613147194157089104992739290927645360922353747<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:51:27 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 27 秒 (日本時間)
4511e62792 / 40381792Dmitry DomanovOctober 10, 2022 06:51:27 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 27 秒 (日本時間)
1000Dmitry DomanovNovember 1, 2022 17:09:04 UTC 2022 年 11 月 2 日 (水) 2 時 9 分 4 秒 (日本時間)

29×10228+349

c223

composite cofactor 合成数の残り
1204055024816404444241831047164994317275474254438748848985674983697510155373751550636035838988447631785690827400871187785335091419746120430912194577949235213311633770637814518894072968557805311609855613873337895456303223903<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:51:34 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 34 秒 (日本時間)
4511e62792 / 40381792Dmitry DomanovOctober 10, 2022 06:51:34 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 34 秒 (日本時間)
1000Dmitry DomanovNovember 6, 2022 00:59:35 UTC 2022 年 11 月 6 日 (日) 9 時 59 分 35 秒 (日本時間)

29×10229+349

c212

name 名前Dmitry Domanov
date 日付October 11, 2022 10:46:57 UTC 2022 年 10 月 11 日 (火) 19 時 46 分 57 秒 (日本時間)
composite number 合成数
26799566436336331118796276992453907697162740451990354666396148838530811574255712646071365494837421507690563295851352480622215219090832012486251966078270262511970982027467637870588817472645514202560158250777027059<212>
prime factors 素因数
176233130519186995839357780451936822959463<42>
composite cofactor 合成数の残り
152068832672858790640424678108537070591616190164891303257658925567946167909162331803161416609941818215242939432604406224639325936119608490151367259248484856255848324019093<171>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1959bab85a66 with GMP-ECM 7.0.5-dev on Mon Oct 10 14:31:24 2022 
Input number is 26799566436336331118796276992453907697162740451990354666396148838530811574255712646071365494837421507690563295851352480622215219090832012486251966078270262511970982027467637870588817472645514202560158250777027059 (212 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2883583756
Step 1 took 0ms
Step 2 took 13529ms
********** Factor found in step 2: 176233130519186995839357780451936822959463
Found prime factor of 42 digits: 176233130519186995839357780451936822959463
Composite cofactor 152068832672858790640424678108537070591616190164891303257658925567946167909162331803161416609941818215242939432604406224639325936119608490151367259248484856255848324019093 has 171 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:51:39 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 39 秒 (日本時間)
4511e62792 / 40381792Dmitry DomanovOctober 10, 2022 06:51:39 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 39 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:09:06 UTC 2022 年 10 月 28 日 (金) 22 時 9 分 6 秒 (日本時間)

29×10230+349

c189

composite cofactor 合成数の残り
579201060992619594060166096193478521065877595290992303227057514333258845797481314708997927762647098673142033361567958108313673361549835745954040778421091679934633789772774570913079031113421<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 21:07:26 UTC 2022 年 10 月 19 日 (水) 6 時 7 分 26 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 18, 2022 21:07:26 UTC 2022 年 10 月 19 日 (水) 6 時 7 分 26 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:09:11 UTC 2022 年 10 月 28 日 (金) 22 時 9 分 11 秒 (日本時間)

29×10231+349

c211

composite cofactor 合成数の残り
1435144849714296278720825391278647712749903499510286664291676838976446445574946712976220783304097160940534032878738873304108152021935059109119185623251426306248362481393196275166715097886355357129780781241546179<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:51:45 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 45 秒 (日本時間)
4511e62792 / 40381792Dmitry DomanovOctober 10, 2022 06:51:45 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 45 秒 (日本時間)
1000Dmitry DomanovNovember 1, 2022 17:09:11 UTC 2022 年 11 月 2 日 (水) 2 時 9 分 11 秒 (日本時間)

29×10232+349

c198

name 名前Dmitry Domanov
date 日付September 3, 2022 11:02:19 UTC 2022 年 9 月 3 日 (土) 20 時 2 分 19 秒 (日本時間)
composite number 合成数
745835597884749796758313885405965494435521092017638847094917000297368933903310726613174981649990629131156186712866452171040800759697942978997258831509046943314615037659390519529244940219300273457003<198>
prime factors 素因数
35323145678975806823736528689951000687<38>
composite cofactor 合成数の残り
21114642638655710735331848301902012122600681782785579043853276717817528809722356417758541872767062593210762024479946583970424659320100290102751395141502114780869<161>
factorization results 素因数分解の結果
GPU: factor 35323145678975806823736528689951000687 found in Step 1 with curve 1305 (-sigma 3:-266049980)
Computing 1792 Step 1 took 239ms of CPU time / 175276ms of GPU time
Throughput: 10.224 curves per second (on average 97.81ms per Step 1)
********** Factor found in step 1: 35323145678975806823736528689951000687
Found prime factor of 38 digits: 35323145678975806823736528689951000687
Composite cofactor 21114642638655710735331848301902012122600681782785579043853276717817528809722356417758541872767062593210762024479946583970424659320100290102751395141502114780869 has 161 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e621761792Dmitry DomanovSeptember 3, 2022 11:02:13 UTC 2022 年 9 月 3 日 (土) 20 時 2 分 13 秒 (日本時間)
384ebinaSeptember 7, 2022 01:06:28 UTC 2022 年 9 月 7 日 (水) 10 時 6 分 28 秒 (日本時間)
4511e64480Ignacio SantosSeptember 8, 2022 14:15:05 UTC 2022 年 9 月 8 日 (木) 23 時 15 分 5 秒 (日本時間)

29×10234+349

c223

composite cofactor 合成数の残り
6229439083109233564820206763990432828320549213933616570066915631824248117798685235701652371591584612928987345629558001889897545844033884766521610297019612576849550845168415845405249687115057942889321126287995767941243340251<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:51:51 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 51 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 10, 2022 06:51:51 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 51 秒 (日本時間)

29×10235+349

c201

composite cofactor 合成数の残り
286801200093624148838082420800588572923639075980051158246106874769578593051071760232232647191870767262739348869826829687851869083261340218580531615609123102337282481822422304510315436722280124823151671<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:51:59 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 59 秒 (日本時間)
4511e62792 / 40381792Dmitry DomanovOctober 10, 2022 06:51:59 UTC 2022 年 10 月 10 日 (月) 15 時 51 分 59 秒 (日本時間)
1000Dmitry DomanovNovember 1, 2022 17:09:17 UTC 2022 年 11 月 2 日 (水) 2 時 9 分 17 秒 (日本時間)

29×10236+349

c231

composite cofactor 合成数の残り
570270500929540916515151693919697261089106535575243652987647154369864861622879724445293950845829139878701498002283441743722010042266876368895008481298863824517148033962951295359610611436165296640949433524747576645338549931901836389<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:52:05 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 5 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovOctober 10, 2022 06:52:05 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 5 秒 (日本時間)
1792Dmitry DomanovNovember 5, 2022 09:53:11 UTC 2022 年 11 月 5 日 (土) 18 時 53 分 11 秒 (日本時間)

29×10239+349

c228

composite cofactor 合成数の残り
407159566685080266199563617625993038748409150919205969283903051045849243053005005836298971077461226983240066360944803738228433737393982526241155897927467645197453595169933944528887908883251624698250935237896681547377062672541621<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:52:11 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 11 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 10, 2022 06:52:11 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 11 秒 (日本時間)

29×10240+349

c186

name 名前Dmitry Domanov
date 日付September 6, 2022 17:55:42 UTC 2022 年 9 月 7 日 (水) 2 時 55 分 42 秒 (日本時間)
composite number 合成数
325807952521416141635450850377894099742947253299456982014043284903410099373390313833157618759260169801321049900955116994999278006134851935170007734272945576610268073979078875308138933657<186>
prime factors 素因数
38404673247678572971213749423367883<35>
8483549656059372490744401202777886204349809680782378375188920293978465064120783156104818833528252125762124946547293305180621300878057967909847906782379<151>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 22:32:30 2022 
Input number is 325807952521416141635450850377894099742947253299456982014043284903410099373390313833157618759260169801321049900955116994999278006134851935170007734272945576610268073979078875308138933657 (186 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3010260893
Step 1 took 0ms
Step 2 took 6455ms
********** Factor found in step 2: 38404673247678572971213749423367883
Found prime factor of 35 digits: 38404673247678572971213749423367883
Prime cofactor 8483549656059372490744401202777886204349809680782378375188920293978465064120783156104818833528252125762124946547293305180621300878057967909847906782379 has 151 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10241+349

c176

composite cofactor 合成数の残り
14723487348615488658028394472447380535840175521229014155364520425197298746745416084607413306766392538862149376063310693305790147180663450779514470733702019278025523110559053259<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:01:47 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 47 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:01:47 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 47 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:09:22 UTC 2022 年 10 月 28 日 (金) 22 時 9 分 22 秒 (日本時間)

29×10242+349

c215

composite cofactor 合成数の残り
46440170313773002546858681233326498433719075026198084571182371445837619032640897869395736609246105464822827585204353675670995876584069616536606936789450135650835498297353781213518101248800826415586996207849026248761<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:52:17 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 17 秒 (日本時間)
4511e62792 / 40381792Dmitry DomanovOctober 10, 2022 06:52:17 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 17 秒 (日本時間)
1000Dmitry DomanovNovember 1, 2022 17:09:24 UTC 2022 年 11 月 2 日 (水) 2 時 9 分 24 秒 (日本時間)

29×10243+349

c232

name 名前Dmitry Domanov
date 日付September 4, 2022 11:13:05 UTC 2022 年 9 月 4 日 (日) 20 時 13 分 5 秒 (日本時間)
composite number 合成数
3941728634464052946241979648877284543665809186077491246870543365191507079443628905274029957785353416666226514150346784921605185598447488824228584307908197308264543680325148179046864793108554998780041385466714379447492802464965697659<232>
prime factors 素因数
116763478318058681984818705458842119223<39>
composite cofactor 合成数の残り
33758232379194409142027914964408120870824419968670036220259351700637192969882485511828416882651998075603740256160068595361727488409592808311195403464274519492637339382267065995867724095983367133<194>
factorization results 素因数分解の結果
GPU: factor 116763478318058681984818705458842119223 found in Step 1 with curve 267 (-sigma 3:-1221618056)
Computing 1792 Step 1 took 296ms of CPU time / 267636ms of GPU time
Throughput: 6.696 curves per second (on average 149.35ms per Step 1)
********** Factor found in step 1: 116763478318058681984818705458842119223
Found prime factor of 39 digits: 116763478318058681984818705458842119223
Composite cofactor 33758232379194409142027914964408120870824419968670036220259351700637192969882485511828416882651998075603740256160068595361727488409592808311195403464274519492637339382267065995867724095983367133 has 194 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 4, 2022 11:12:56 UTC 2022 年 9 月 4 日 (日) 20 時 12 分 56 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:01:51 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 51 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:09:30 UTC 2022 年 10 月 28 日 (金) 22 時 9 分 30 秒 (日本時間)

29×10244+349

c221

name 名前Dmitry Domanov
date 日付September 4, 2022 11:23:04 UTC 2022 年 9 月 4 日 (日) 20 時 23 分 4 秒 (日本時間)
composite number 合成数
46250944911832774998854322756335147077108100434778656700914652662100551421572764455665250903243828644458931718827780848348170493512075346798238783720215291649792379359336393564747511778259689225556860379474281212644630043<221>
prime factors 素因数
1669125445881092839839190010638147<34>
27709687744540954818982783507914121960396080818118098279961608852562874807818314260724750232915796314846582396979180369063139012373022726008388021218335399424051837087912651729631936285769<188>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f133299af3b0 with GMP-ECM 7.0.5-dev on Sat Sep  3 02:00:48 2022 
Input number is 46250944911832774998854322756335147077108100434778656700914652662100551421572764455665250903243828644458931718827780848348170493512075346798238783720215291649792379359336393564747511778259689225556860379474281212644630043 (221 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1103277759
Step 1 took 0ms
Step 2 took 5526ms
********** Factor found in step 2: 1669125445881092839839190010638147
Found prime factor of 34 digits: 1669125445881092839839190010638147
Prime cofactor 27709687744540954818982783507914121960396080818118098279961608852562874807818314260724750232915796314846582396979180369063139012373022726008388021218335399424051837087912651729631936285769 has 188 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10245+349

c234

composite cofactor 合成数の残り
193034424861366514064862516240353479807748227345987380680871441259922539669386501686240813836082779300174001966057819935496398281894877711582062799623901727274345825848557300495264241902464273712275500162232569283451871910296313850577<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:52:22 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 22 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovOctober 10, 2022 06:52:22 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 22 秒 (日本時間)
1792Dmitry DomanovNovember 5, 2022 09:53:24 UTC 2022 年 11 月 5 日 (土) 18 時 53 分 24 秒 (日本時間)

29×10247+349

c209

name 名前Eric Jeancolas
date 日付June 21, 2022 05:26:19 UTC 2022 年 6 月 21 日 (火) 14 時 26 分 19 秒 (日本時間)
composite number 合成数
66842617005447971133366309085336718596163440079184522908581940766384235154923308365182077677975313380224918520752970276033518126018212653762248421759616513956602622200382764221407074591118639693425003248079411<209>
prime factors 素因数
2944596625238291033976941<25>
composite cofactor 合成数の残り
22700092920210673174984254326950740022537836092464432460648416150911433279242590558451521955727745110150082292084400302524488259994835021772508662217614887346365383721412036353177872671<185>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 66842617005447971133366309085336718596163440079184522908581940766384235154923308365182077677975313380224918520752970276033518126018212653762248421759616513956602622200382764221407074591118639693425003248079411 (209 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:4160814365
Step 1 took 3418ms
********** Factor found in step 1: 2944596625238291033976941
Found prime factor of 25 digits: 2944596625238291033976941
Composite cofactor 22700092920210673174984254326950740022537836092464432460648416150911433279242590558451521955727745110150082292084400302524488259994835021772508662217614887346365383721412036353177872671 has 185 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:01:56 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 56 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:01:56 UTC 2022 年 10 月 5 日 (水) 10 時 1 分 56 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:09:36 UTC 2022 年 10 月 28 日 (金) 22 時 9 分 36 秒 (日本時間)

29×10248+349

c189

composite cofactor 合成数の残り
127172044788592893033658958656487296216188452582547409529186864597470942599709711417472560087842041708475474237865341896387490253600870149151380192442105271200272522312898228557437586121363<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:02:02 UTC 2022 年 10 月 5 日 (水) 10 時 2 分 2 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:02:02 UTC 2022 年 10 月 5 日 (水) 10 時 2 分 2 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:09:48 UTC 2022 年 10 月 28 日 (金) 22 時 9 分 48 秒 (日本時間)

29×10249+349

c200

name 名前Eric Jeancolas
date 日付June 21, 2022 09:31:23 UTC 2022 年 6 月 21 日 (火) 18 時 31 分 23 秒 (日本時間)
composite number 合成数
19973654385611467561732874542460921744267993128496028905555444406320171981196479308561641853896932898445613273308042236296541340173382382733124745239092080706132990512863690092430061130106191037581259<200>
prime factors 素因数
4748001973918325577975656151020700998249<40>
composite cofactor 合成数の残り
4206749385390009399011649879409140048241328782271344977842128064096242638714156435026834262086231188470115280545155692644238467781387883995678297340792736809491<160>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 19973654385611467561732874542460921744267993128496028905555444406320171981196479308561641853896932898445613273308042236296541340173382382733124745239092080706132990512863690092430061130106191037581259 (200 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3966909871
Step 1 took 4208ms
Step 2 took 2185ms
********** Factor found in step 2: 4748001973918325577975656151020700998249
Found prime factor of 40 digits: 4748001973918325577975656151020700998249
Composite cofactor 4206749385390009399011649879409140048241328782271344977842128064096242638714156435026834262086231188470115280545155692644238467781387883995678297340792736809491 has 160 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 21, 2022 18:20:53 UTC 2022 年 6 月 22 日 (水) 3 時 20 分 53 秒 (日本時間)
4511e64480Ignacio SantosJune 22, 2022 19:07:13 UTC 2022 年 6 月 23 日 (木) 4 時 7 分 13 秒 (日本時間)

29×10250+349

c235

name 名前Dmitry Domanov
date 日付October 12, 2022 05:32:16 UTC 2022 年 10 月 12 日 (水) 14 時 32 分 16 秒 (日本時間)
composite number 合成数
9105002726585420114547011259865421834407943076640098352558110762206606937914923114042689476317174154225416894736922564527677723998112324119795589679955157739764126999807319398704203031621016743830920386437238774889002131353135408549121<235>
prime factors 素因数
8985579452361282524107690123725646665317<40>
composite cofactor 合成数の残り
1013290547911493326334129290368179465575726104718907555957165474905314996784983579336753076562937479083318275220509997312386657390211359507091816639368011650129591421664710055588246820010840700013<196>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1959bab85a66 with GMP-ECM 7.0.5-dev on Mon Oct 10 15:57:43 2022 
Input number is 9105002726585420114547011259865421834407943076640098352558110762206606937914923114042689476317174154225416894736922564527677723998112324119795589679955157739764126999807319398704203031621016743830920386437238774889002131353135408549121 (235 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1907513811
Step 1 took 0ms
Step 2 took 17292ms
********** Factor found in step 2: 8985579452361282524107690123725646665317
Found prime factor of 40 digits: 8985579452361282524107690123725646665317
Composite cofactor 1013290547911493326334129290368179465575726104718907555957165474905314996784983579336753076562937479083318275220509997312386657390211359507091816639368011650129591421664710055588246820010840700013 has 196 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:52:28 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 28 秒 (日本時間)
4511e62792 / 40381792Dmitry DomanovOctober 10, 2022 06:52:28 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 28 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:10:00 UTC 2022 年 10 月 28 日 (金) 22 時 10 分 0 秒 (日本時間)

29×10251+349

c252

name 名前Dmitry Domanov
date 日付October 19, 2022 09:55:07 UTC 2022 年 10 月 19 日 (水) 18 時 55 分 7 秒 (日本時間)
composite number 合成数
161111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<252>
prime factors 素因数
6524835951699996081446238456292224428663<40>
composite cofactor 合成数の残り
24691978818124131362589516984343449374811632515938482316192258250113352144646812354362737550932214522007272103784988898600112596051185222383584821113648888289954187058811746466243259815008170787721750524314441151<212>
factorization results 素因数分解の結果
GPU: factor 6524835951699996081446238456292224428663 found in Step 1 with curve 178 (-sigma 3:2094792652)
Computing 1792 Step 1 took 1471ms of CPU time / 981905ms of GPU time
Throughput: 1.825 curves per second (on average 547.94ms per Step 1)
********** Factor found in step 1: 6524835951699996081446238456292224428663
Found prime factor of 40 digits: 6524835951699996081446238456292224428663
Composite cofactor 24691978818124131362589516984343449374811632515938482316192258250113352144646812354362737550932214522007272103784988898600112596051185222383584821113648888289954187058811746466243259815008170787721750524314441151 has 212 digits
Peak memory usage: 9430MB

c212

name 名前Dmitry Domanov
date 日付November 3, 2022 12:00:51 UTC 2022 年 11 月 3 日 (木) 21 時 0 分 51 秒 (日本時間)
composite number 合成数
24691978818124131362589516984343449374811632515938482316192258250113352144646812354362737550932214522007272103784988898600112596051185222383584821113648888289954187058811746466243259815008170787721750524314441151<212>
prime factors 素因数
4919060002596717122897739311077513558334146845151<49>
composite cofactor 合成数の残り
5019653918653057714482520275970076455055326578585681845085648296439003368376473556409029938505012566108329836853917419118031804174342114265079827097006325818196001<163>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:191667071
Step 1 took 59265ms
Step 2 took 24806ms
********** Factor found in step 2: 4919060002596717122897739311077513558334146845151
Found prime factor of 49 digits: 4919060002596717122897739311077513558334146845151
Composite cofactor 5019653918653057714482520275970076455055326578585681845085648296439003368376473556409029938505012566108329836853917419118031804174342114265079827097006325818196001 has 163 digits

c163

name 名前Ignacio Santos
date 日付November 4, 2022 15:52:12 UTC 2022 年 11 月 5 日 (土) 0 時 52 分 12 秒 (日本時間)
composite number 合成数
5019653918653057714482520275970076455055326578585681845085648296439003368376473556409029938505012566108329836853917419118031804174342114265079827097006325818196001<163>
prime factors 素因数
5388502444116502601092818446780507087181088817<46>
composite cofactor 合成数の残り
931548973153723568407602522120612481013509537723166588843909539077869339211230623502746718675257987934636605056871153<117>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4079332129
Step 1 took 23625ms
Step 2 took 10078ms
********** Factor found in step 2: 5388502444116502601092818446780507087181088817
Found prime factor of 46 digits: 5388502444116502601092818446780507087181088817
Composite cofactor 931548973153723568407602522120612481013509537723166588843909539077869339211230623502746718675257987934636605056871153 has 117 digits
 
software ソフトウェア
GMP-ECM

c117

name 名前Eric Jeancolas
date 日付November 6, 2022 19:20:11 UTC 2022 年 11 月 7 日 (月) 4 時 20 分 11 秒 (日本時間)
composite number 合成数
931548973153723568407602522120612481013509537723166588843909539077869339211230623502746718675257987934636605056871153<117>
prime factors 素因数
1856380927491165489776402988858058390363932713407<49>
501809170390841998485095484438313706997339430728725204291790194016079<69>
factorization results 素因数分解の結果
931548973153723568407602522120612481013509537723166588843909539077869339211230623502746718675257987934636605056871153=1856380927491165489776402988858058390363932713407*501809170390841998485095484438313706997339430728725204291790194016079

cado polynomial
n: 931548973153723568407602522120612481013509537723166588843909539077869339211230623502746718675257987934636605056871153
skew: 22004.534
c0: -97228038595350493184914216
c1: -34174755547532067066904
c2: 3408598948273756951
c3: 194705918650879
c4: -4023820860
c5: -25200
Y0: -53624980624475338342429
Y1: 116533359800227
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 8.457e-07
# f(x) = -25200*x^5-4023820860*x^4+194705918650879*x^3+3408598948273756951*x^2-34174755547532067066904*x-97228038595350493184914216
# g(x) = 116533359800227*x-53624980624475338342429

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 501809170390841998485095484438313706997339430728725204291790194016079 1856380927491165489776402988858058390363932713407
Info:Square Root: Total cpu/real time for sqrt: 145.93/43.4968
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21568/34.300/41.818/50.030/1.093
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17213/33.580/37.012/42.250/0.853
Info:Polynomial Selection (size optimized): Total time: 1766.72
Info:Quadratic Characters: Total cpu/real time for characters: 16.53/6.5967
Info:Generate Factor Base: Total cpu/real time for makefb: 4.2/1.18337
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 141.15/152.757
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 113.69999999999997s
Info:Generate Free Relations: Total cpu/real time for freerel: 63.6/16.8944
Info:Square Root: Total cpu/real time for sqrt: 145.93/43.4968
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 32.2/32.8402
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.900000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 111.44/125.756
Info:Filtering - Merging: Merged matrix has 467094 rows and total weight 72752691 (155.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.89/22.9234
Info:Filtering - Merging: Total cpu/real time for replay: 15.52/12.7043
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7778809
Info:Lattice Sieving: Average J: 1893.72 for 215533 special-q, max bucket fill -bkmult 1.0,1s:1.283110
Info:Lattice Sieving: Total time: 23209.6s
Info:Linear Algebra: Total cpu/real time for bwc: 2817.39/726.49
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1743.72, WCT time 445.89, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14720 iterations)
Info:Linear Algebra: Lingen CPU time 74.65, WCT time 19.03
Info:Linear Algebra: Mksol: CPU time 960.26,  WCT time 245.31, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 453.53
Info:Polynomial Selection (root optimized): Rootsieve time: 452.41
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 48424.8/13251.9
Info:root: Cleaning up computation data in /tmp/cado.tabpl927
501809170390841998485095484438313706997339430728725204291790194016079 1856380927491165489776402988858058390363932713407
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:17:01 UTC 2022 年 10 月 18 日 (火) 18 時 17 分 1 秒 (日本時間)
4511e62792 / 40381792Dmitry DomanovOctober 18, 2022 09:17:01 UTC 2022 年 10 月 18 日 (火) 18 時 17 分 1 秒 (日本時間)
1000Dmitry DomanovNovember 1, 2022 17:09:30 UTC 2022 年 11 月 2 日 (水) 2 時 9 分 30 秒 (日本時間)

29×10252+349

c214

name 名前Eric Jeancolas
date 日付June 21, 2022 11:35:38 UTC 2022 年 6 月 21 日 (火) 20 時 35 分 38 秒 (日本時間)
composite number 合成数
2832114003220235057818357558702485984593117546305259532022570399147434490827017419999005871078840991012680616545510974939339885983804438370238414220232690713631591935402914803950148890244526083520639043834077864351<214>
prime factors 素因数
4946016172995407335159759<25>
composite cofactor 合成数の残り
572605083396856260350974304434615206564465563556244811428862261881676485916722986753008307225611501911542794188894190397611394641091347952265529969448761369087165240987356723335496391466289<189>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2832114003220235057818357558702485984593117546305259532022570399147434490827017419999005871078840991012680616545510974939339885983804438370238414220232690713631591935402914803950148890244526083520639043834077864351 (214 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1376282202
Step 1 took 5266ms
Step 2 took 2609ms
********** Factor found in step 2: 4946016172995407335159759
Found prime factor of 25 digits: 4946016172995407335159759
Composite cofactor 572605083396856260350974304434615206564465563556244811428862261881676485916722986753008307225611501911542794188894190397611394641091347952265529969448761369087165240987356723335496391466289 has 189 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:02:08 UTC 2022 年 10 月 5 日 (水) 10 時 2 分 8 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:02:08 UTC 2022 年 10 月 5 日 (水) 10 時 2 分 8 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:10:07 UTC 2022 年 10 月 28 日 (金) 22 時 10 分 7 秒 (日本時間)

29×10254+349

c216

composite cofactor 合成数の残り
465743746937024573434028090881781655772857571589746614411748825342526514899126351573733184629929851155829808659532254691753027143772126810963445640840929180356827971695308096931154042744141127638707397661072231678243<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:52:33 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 33 秒 (日本時間)
4511e62792 / 40381792Dmitry DomanovOctober 10, 2022 06:52:33 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 33 秒 (日本時間)
1000Dmitry DomanovNovember 1, 2022 17:09:37 UTC 2022 年 11 月 2 日 (水) 2 時 9 分 37 秒 (日本時間)

29×10255+349

c232

name 名前Dmitry Domanov
date 日付September 3, 2022 11:01:06 UTC 2022 年 9 月 3 日 (土) 20 時 1 分 6 秒 (日本時間)
composite number 合成数
1854582068351340799262985178847382023188698511316940794033774309737074601149857638306328524217968442388090956525594409039772865210514489123465016228520145195990095164240790745859940957440472063025422686401887984378666070534936174101<232>
prime factors 素因数
971722062771458412552952157727127597<36>
composite cofactor 合成数の残り
1908551981481071196832419607023145857147350197289700961465984882759489088434311592485860579399590630736301812105947799877487371943748521003203401281969543073334997857191011505343110044596813252233<196>
factorization results 素因数分解の結果
GPU: factor 971722062771458412552952157727127597 found in Step 1 with curve 972 (-sigma 3:1325185019)
Computing 1792 Step 1 took 315ms of CPU time / 267668ms of GPU time
Throughput: 6.695 curves per second (on average 149.37ms per Step 1)
********** Factor found in step 1: 971722062771458412552952157727127597
Found prime factor of 36 digits: 971722062771458412552952157727127597
Composite cofactor 1908551981481071196832419607023145857147350197289700961465984882759489088434311592485860579399590630736301812105947799877487371943748521003203401281969543073334997857191011505343110044596813252233 has 196 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 3, 2022 11:01:00 UTC 2022 年 9 月 3 日 (土) 20 時 1 分 0 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:02:11 UTC 2022 年 10 月 5 日 (水) 10 時 2 分 11 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:10:38 UTC 2022 年 10 月 28 日 (金) 22 時 10 分 38 秒 (日本時間)

29×10257+349

c246

composite cofactor 合成数の残り
363523567053237950053242675247139833332862724122074139954553941078806400435572620734065074144495539165045142388029037288657077923642409988054791429247632320261333859572082725928821462304555472528545582073686001701705411147902122854879484916764877<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 12, 2022 21:02:48 UTC 2022 年 10 月 13 日 (木) 6 時 2 分 48 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovOctober 12, 2022 21:02:48 UTC 2022 年 10 月 13 日 (木) 6 時 2 分 48 秒 (日本時間)
1792Dmitry DomanovNovember 5, 2022 09:53:33 UTC 2022 年 11 月 5 日 (土) 18 時 53 分 33 秒 (日本時間)

29×10258+349

c230

composite cofactor 合成数の残り
21861642404157474951642477537053134953389961903300639713199769320902862212100736791626830265725468362398962885356401493872672853256950259260762367177900991892222536062766852949531822144805719347756019909869544844348293129068697937<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:52:40 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 40 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovOctober 10, 2022 06:52:40 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 40 秒 (日本時間)
1792Dmitry DomanovNovember 5, 2022 09:53:47 UTC 2022 年 11 月 5 日 (土) 18 時 53 分 47 秒 (日本時間)

29×10261+349

c247

composite cofactor 合成数の残り
1049169073501553804685594380652915177937906268533259537116237467293860380004413473854903116011650652160561669186864702112549928293372366462884141357503725302931937506831798892029791548804440929707157272523756819546020412872915699817943722415186973<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 12, 2022 21:02:53 UTC 2022 年 10 月 13 日 (木) 6 時 2 分 53 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovOctober 12, 2022 21:02:53 UTC 2022 年 10 月 13 日 (木) 6 時 2 分 53 秒 (日本時間)
1792Dmitry DomanovNovember 5, 2022 09:53:55 UTC 2022 年 11 月 5 日 (土) 18 時 53 分 55 秒 (日本時間)

29×10262+349

c219

name 名前Eric Jeancolas
date 日付June 21, 2022 19:16:41 UTC 2022 年 6 月 22 日 (水) 4 時 16 分 41 秒 (日本時間)
composite number 合成数
154992795622727725158821081833220241581459844924829890897079494940533137023960462875656040382850317558621483557682373340823975746965604497629916418009927385886220750765679954535110917529274772353949145072258059687894767<219>
prime factors 素因数
660934290331693848069489810229<30>
composite cofactor 合成数の残り
234505605004914571221410162883351533329949491253332631573745240181928074278699913572179821833532488767882204465698916389535954840143885805332591714000295649344110409617959009978521954005523<189>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 154992795622727725158821081833220241581459844924829890897079494940533137023960462875656040382850317558621483557682373340823975746965604497629916418009927385886220750765679954535110917529274772353949145072258059687894767 (219 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2135400478
Step 1 took 4415ms
Step 2 took 2213ms
********** Factor found in step 2: 660934290331693848069489810229
Found prime factor of 30 digits: 660934290331693848069489810229
Composite cofactor 234505605004914571221410162883351533329949491253332631573745240181928074278699913572179821833532488767882204465698916389535954840143885805332591714000295649344110409617959009978521954005523 has 189 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 5, 2022 01:02:17 UTC 2022 年 10 月 5 日 (水) 10 時 2 分 17 秒 (日本時間)
4511e62000 / 40381000Dmitry DomanovOctober 5, 2022 01:02:17 UTC 2022 年 10 月 5 日 (水) 10 時 2 分 17 秒 (日本時間)
1000Dmitry DomanovOctober 28, 2022 13:10:44 UTC 2022 年 10 月 28 日 (金) 22 時 10 分 44 秒 (日本時間)

29×10263+349

c234

name 名前Eric Jeancolas
date 日付June 21, 2022 19:22:36 UTC 2022 年 6 月 22 日 (水) 4 時 22 分 36 秒 (日本時間)
composite number 合成数
171899784493266597548086377151667928490039455182830859591878813637741376767124619878970145002792011242085500718135679458476144172138591230149136162792204026417737634355266027442193767343994034341498221864445826551670066262606901071467<234>
prime factors 素因数
25345215056938232972213<23>
54523142246461599247847<23>
35183100416413621474900777<26>
composite cofactor 合成数の残り
3535610108269357985279993595705636232953235468062197547738259577444609989840124068539338526170472753291808776354743899593580799760263065803280126774972335265732961<163>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]

Input number is 171899784493266597548086377151667928490039455182830859591878813637741376767124619878970145002792011242085500718135679458476144172138591230149136162792204026417737634355266027442193767343994034341498221864445826551670066262606901071467 (234 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:4150064425
Step 1 took 4880ms
Step 2 took 2405ms
********** Factor found in step 2: 54523142246461599247847
Found prime factor of 23 digits: 54523142246461599247847
Composite cofactor 3152785723834954081808834471831500611649511294235250535462594190916218077142448157476418354082121503856102015567711457793679044785732635871844805391499587585319437173482964933071452220087454408986262567077962461 has 211 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1639716448
Step 1 took 3446ms
Step 2 took 1938ms
********** Factor found in step 2: 25345215056938232972213
Found prime factor of 23 digits: 25345215056938232972213
Composite cofactor 124393725472527858239613932258950034692834533824865917772084023056896788363578107874062634406863522479523980983840697290858296019755826207711966190472024110972952997081825680262865653410697 has 189 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:779673145
Step 1 took 3174ms
Step 2 took 1801ms
********** Factor found in step 2: 35183100416413621474900777
Found prime factor of 26 digits: 35183100416413621474900777
Composite cofactor 3535610108269357985279993595705636232953235468062197547738259577444609989840124068539338526170472753291808776354743899593580799760263065803280126774972335265732961 has 163 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 22, 2022 21:35:20 UTC 2022 年 6 月 23 日 (木) 6 時 35 分 20 秒 (日本時間)
4511e64480Ignacio SantosJune 23, 2022 14:29:53 UTC 2022 年 6 月 23 日 (木) 23 時 29 分 53 秒 (日本時間)

29×10265+349

c237

composite cofactor 合成数の残り
320465055914150035958325537592040461616879622830013944818353767232284870418617530560918279634814568741782068974551764872889571937105056451681532887250983723743280242313325921713033007047636307629152680764111229539775211959189207705214653<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:52:46 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 46 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovOctober 10, 2022 06:52:46 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 46 秒 (日本時間)
1792Dmitry DomanovNovember 5, 2022 09:54:02 UTC 2022 年 11 月 5 日 (土) 18 時 54 分 2 秒 (日本時間)

29×10266+349

c237

composite cofactor 合成数の残り
254886639019450352453259200865684950173666816331549682573551300499923042636423885853875062866544253841966215292175649109077397396321665427141466954565894700310708246573299997120899858394692746901793342005330369820840066880079851824036747<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:52:51 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 51 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovOctober 10, 2022 06:52:51 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 51 秒 (日本時間)
1792Dmitry DomanovNovember 5, 2022 09:54:10 UTC 2022 年 11 月 5 日 (土) 18 時 54 分 10 秒 (日本時間)

29×10267+349

c264

composite cofactor 合成数の残り
490146367846398269276273535476456072744481627962005205692458506574721968698238853395531217253152148193219078524828448771253760605753304262583240374539431430213298178007639522698847310955616401311564073961396748132373322516310042930061183787986343508095865868911199<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:16:56 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 56 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:16:56 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 56 秒 (日本時間)

29×10268+349

c245

name 名前Dmitry Domanov
date 日付October 13, 2022 05:58:31 UTC 2022 年 10 月 13 日 (木) 14 時 58 分 31 秒 (日本時間)
composite number 合成数
31475498045376974119141470227518361026982713619621061022110110581594654091970133296174074949376996107662308341297978829437789382477469259438100977990464038434795168846113723632409642847620682624868424919219129484320653756600461497133001837686151<245>
prime factors 素因数
4306513690820842011000424103323551650723<40>
7308811791883005566358390183204641108172391369320793790007226761312802440638299918135903113030058812126908208039687830281207400254201524319300524337071145513474633025646817298320532967921516249469203397837<205>
factorization results 素因数分解の結果
Resuming ECM residue saved by @277bcf774d9d with GMP-ECM 7.0.5-dev on Wed Oct 12 22:59:17 2022 
Input number is 31475498045376974119141470227518361026982713619621061022110110581594654091970133296174074949376996107662308341297978829437789382477469259438100977990464038434795168846113723632409642847620682624868424919219129484320653756600461497133001837686151 (245 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4024461082
Step 1 took 0ms
Step 2 took 28066ms
********** Factor found in step 2: 4306513690820842011000424103323551650723
Found prime factor of 40 digits: 4306513690820842011000424103323551650723
Prime cofactor 7308811791883005566358390183204641108172391369320793790007226761312802440638299918135903113030058812126908208039687830281207400254201524319300524337071145513474633025646817298320532967921516249469203397837 has 205 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 12, 2022 21:02:58 UTC 2022 年 10 月 13 日 (木) 6 時 2 分 58 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 12, 2022 21:02:58 UTC 2022 年 10 月 13 日 (木) 6 時 2 分 58 秒 (日本時間)

29×10269+349

c268

composite cofactor 合成数の残り
3929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:16:51 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 51 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:16:51 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 51 秒 (日本時間)

29×10271+349

c227

composite cofactor 合成数の残り
99020055855131152078282267285193751878141826899112057752204617350887819192082090551420702580365459807663955690358029661515336151232907444383313485096378997983068513783938369219940642813786804069738503810323358832199828941607669<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:52:57 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 57 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 10, 2022 06:52:57 UTC 2022 年 10 月 10 日 (月) 15 時 52 分 57 秒 (日本時間)

29×10273+349

c259

composite cofactor 合成数の残り
1977281216578853344493143653007951042169994569417062061264321436845386618726453024331431390692058680851912942806041068817237415020874155391326007694415115526289209453961178682119242084176160439658096945371348540874342429825105045876168787480817144749350471893<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:16:46 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 46 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:16:46 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 46 秒 (日本時間)

29×10274+349

c242

name 名前Dmitry Domanov
date 日付September 3, 2022 11:00:08 UTC 2022 年 9 月 3 日 (土) 20 時 0 分 8 秒 (日本時間)
composite number 合成数
34523100795840046997521405262942435584057277265790278178566978159024591930753625772091830046383286892755329550583088582089607498937644510869840825013211197358907755153791956654259042046212608086605170949535049685850051834280676416050865878403<242>
prime factors 素因数
5095592452715241100596405209248291<34>
composite cofactor 合成数の残り
6775090652598019764575312702101275796901290990394140556012111731537596031156464951691158266118259951225079368750550273563688477486143520541333241503894593158710257498120192381309040763061007717837790216172833<208>
factorization results 素因数分解の結果
GPU: factor 5095592452715241100596405209248291 found in Step 1 with curve 1629 (-sigma 3:1290203964)
Computing 1792 Step 1 took 420ms of CPU time / 267945ms of GPU time
Throughput: 6.688 curves per second (on average 149.52ms per Step 1)
********** Factor found in step 1: 5095592452715241100596405209248291
Found prime factor of 34 digits: 5095592452715241100596405209248291
Composite cofactor 6775090652598019764575312702101275796901290990394140556012111731537596031156464951691158266118259951225079368750550273563688477486143520541333241503894593158710257498120192381309040763061007717837790216172833 has 208 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 3, 2022 11:00:02 UTC 2022 年 9 月 3 日 (土) 20 時 0 分 2 秒 (日本時間)
4511e62792 / 40381792Dmitry DomanovOctober 10, 2022 06:53:02 UTC 2022 年 10 月 10 日 (月) 15 時 53 分 2 秒 (日本時間)
1000Dmitry DomanovNovember 1, 2022 17:09:45 UTC 2022 年 11 月 2 日 (水) 2 時 9 分 45 秒 (日本時間)

29×10275+349

c235

name 名前Eric Jeancolas
date 日付June 22, 2022 14:46:32 UTC 2022 年 6 月 22 日 (水) 23 時 46 分 32 秒 (日本時間)
composite number 合成数
2942749527156755061787218321666349564999936065771108094936094824880977163829138506057179852611614537365918122804075860464476514747715380596713146982091561408207379491929667933672520352658450567043157217179581621394030505211681589117917<235>
prime factors 素因数
29032739026825519122247135409047<32>
101359693428778065599956828342105017329949462757080567291344269718062243904340305559726839379926691406204560265188885861079278896302671646101966171120213482780478628492784314957334290643049666739565847211<204>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2942749527156755061787218321666349564999936065771108094936094824880977163829138506057179852611614537365918122804075860464476514747715380596713146982091561408207379491929667933672520352658450567043157217179581621394030505211681589117917 (235 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1091233723
Step 1 took 4967ms
Step 2 took 2602ms
********** Factor found in step 2: 29032739026825519122247135409047
Found prime factor of 32 digits: 29032739026825519122247135409047
Prime cofactor 101359693428778065599956828342105017329949462757080567291344269718062243904340305559726839379926691406204560265188885861079278896302671646101966171120213482780478628492784314957334290643049666739565847211 has 204 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10276+349

c267

composite cofactor 合成数の残り
319442668951798433120565377890986030164771147854917747618464429089810419140308012521619572233398046264936247817448913632417492278741390104400353746343805962038305146040810365082082611195645654191138948403630178857221287323792997418812006449321805398828142418084836741<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:16:40 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 40 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:16:40 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 40 秒 (日本時間)

29×10277+349

c277

name 名前Dmitry Domanov
date 日付October 20, 2022 13:33:55 UTC 2022 年 10 月 20 日 (木) 22 時 33 分 55 秒 (日本時間)
composite number 合成数
5370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371<277>
prime factors 素因数
23414441378637514136635849990183268290162196628400571<53>
composite cofactor 合成数の残り
229361456185331042564616581100820604127291367252508565437220796184937233641248019229749369486409574977379766081520763614681316029598526839305804313588529883302997349250304090027334412915933729447323791849467518793718153803801<225>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6e768406838a with GMP-ECM 7.0.5-dev on Wed Oct 19 09:30:16 2022 
Input number is 5370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371 (277 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1651675108
Step 1 took 0ms
Step 2 took 24254ms
********** Factor found in step 2: 23414441378637514136635849990183268290162196628400571
Found prime factor of 53 digits: 23414441378637514136635849990183268290162196628400571
Composite cofactor 229361456185331042564616581100820604127291367252508565437220796184937233641248019229749369486409574977379766081520763614681316029598526839305804313588529883302997349250304090027334412915933729447323791849467518793718153803801 has 225 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:15:38 UTC 2022 年 10 月 18 日 (火) 18 時 15 分 38 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:15:38 UTC 2022 年 10 月 18 日 (火) 18 時 15 分 38 秒 (日本時間)

29×10278+349

c258

name 名前Dmitry Domanov
date 日付September 3, 2022 22:02:07 UTC 2022 年 9 月 4 日 (日) 7 時 2 分 7 秒 (日本時間)
composite number 合成数
569863595240855126136048741468714631745371464550103647956172418857006945735533727397162032339449229400955203649813461414637507346433119032917745203233480753399078439022192643359582403240936757409833591278078850606166420931492985442809541071955913964683032947<258>
prime factors 素因数
4539820900083466802644606052996486407<37>
composite cofactor 合成数の残り
125525567590205575810082044174652888230583538568132948608284931462424511268047116012249651178711859810721404979983857764029169635333571662539492203442728702120841605948719725654406565370482217845641403426929033962199591221<222>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f133299af3b0 with GMP-ECM 7.0.5-dev on Fri Sep  2 23:49:25 2022 
Input number is 569863595240855126136048741468714631745371464550103647956172418857006945735533727397162032339449229400955203649813461414637507346433119032917745203233480753399078439022192643359582403240936757409833591278078850606166420931492985442809541071955913964683032947 (258 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1982764110
Step 1 took 0ms
Step 2 took 5114ms
********** Factor found in step 2: 4539820900083466802644606052996486407
Found prime factor of 37 digits: 4539820900083466802644606052996486407
Composite cofactor 125525567590205575810082044174652888230583538568132948608284931462424511268047116012249651178711859810721404979983857764029169635333571662539492203442728702120841605948719725654406565370482217845641403426929033962199591221 has 222 digits

c222

name 名前Dmitry Domanov
date 日付October 12, 2022 10:25:24 UTC 2022 年 10 月 12 日 (水) 19 時 25 分 24 秒 (日本時間)
composite number 合成数
125525567590205575810082044174652888230583538568132948608284931462424511268047116012249651178711859810721404979983857764029169635333571662539492203442728702120841605948719725654406565370482217845641403426929033962199591221<222>
prime factors 素因数
43234112999178192266634602414113627703<38>
composite cofactor 合成数の残り
2903391763642557107958544175410391855950907973906144256948557557506735998035143485034970326058886175234204260589357558022276755316761626592259878391556295864933569392670646030000709107<184>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1959bab85a66 with GMP-ECM 7.0.5-dev on Mon Oct 10 13:59:15 2022 
Input number is 125525567590205575810082044174652888230583538568132948608284931462424511268047116012249651178711859810721404979983857764029169635333571662539492203442728702120841605948719725654406565370482217845641403426929033962199591221 (222 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:572542199
Step 1 took 0ms
Step 2 took 15018ms
********** Factor found in step 2: 43234112999178192266634602414113627703
Found prime factor of 38 digits: 43234112999178192266634602414113627703
Composite cofactor 2903391763642557107958544175410391855950907973906144256948557557506735998035143485034970326058886175234204260589357558022276755316761626592259878391556295864933569392670646030000709107 has 184 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovSeptember 3, 2022 22:01:39 UTC 2022 年 9 月 4 日 (日) 7 時 1 分 39 秒 (日本時間)
4511e662721792Dmitry DomanovOctober 10, 2022 06:53:06 UTC 2022 年 10 月 10 日 (月) 15 時 53 分 6 秒 (日本時間)
4480Ignacio SantosOctober 13, 2022 11:14:05 UTC 2022 年 10 月 13 日 (木) 20 時 14 分 5 秒 (日本時間)

29×10282+349

c267

composite cofactor 合成数の残り
140410831328453463333061445139066474619963874072547758500288261874371470790942898324965792806362546329643092334051012331502105995615550766800371883771759417138152397929974407931987600465993894643836787769550685858484690993996893636178402486440002597007904985210059681<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:16:35 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 35 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:16:35 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 35 秒 (日本時間)

29×10284+349

c244

composite cofactor 合成数の残り
2796044124517106816741459199991663691590076019493514591136975489800891075865135757634722829952624784656039534194084234477488835192816546501218172986706108968365519963292995783205914069038490779403479697876893027760299232647314165272574159948937<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 12, 2022 21:03:04 UTC 2022 年 10 月 13 日 (木) 6 時 3 分 4 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovOctober 12, 2022 21:03:04 UTC 2022 年 10 月 13 日 (木) 6 時 3 分 4 秒 (日本時間)
1792Dmitry DomanovNovember 5, 2022 09:54:16 UTC 2022 年 11 月 5 日 (土) 18 時 54 分 16 秒 (日本時間)

29×10285+349

c268

composite cofactor 合成数の残り
7400945520741050203134015674098909306477844308766586944209675361420105628657045130018186941836129326559082799762814315638660389942054461344863362700279806876407032046436781282438307078977665061006973093265814751354857895384463942774641598979184269957477141943343617253<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:16:29 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 29 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:16:29 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 29 秒 (日本時間)

29×10286+349

c228

name 名前Dmitry Domanov
date 日付October 11, 2022 19:26:34 UTC 2022 年 10 月 12 日 (水) 4 時 26 分 34 秒 (日本時間)
composite number 合成数
237746369200151415827284830452519979376576314653474544026993712998996756334477077611665865001421079899891639019356071118489425096378432556902038409987214848837644495771293686196564780621546544922667090377169684881829374331637417<228>
prime factors 素因数
6952510836335390719185335243844924542941757<43>
7330685964805478532903033282534978934412567<43>
4664741729631962510811935119511519071921081216004610426878139788785464012910899793419793978309015774972923527289514880013199421255068022592043<142>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1959bab85a66 with GMP-ECM 7.0.5-dev on Mon Oct 10 14:42:06 2022 
Input number is 237746369200151415827284830452519979376576314653474544026993712998996756334477077611665865001421079899891639019356071118489425096378432556902038409987214848837644495771293686196564780621546544922667090377169684881829374331637417 (228 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:115154261
Step 1 took 0ms
Step 2 took 14639ms
********** Factor found in step 2: 7330685964805478532903033282534978934412567
Found prime factor of 43 digits: 7330685964805478532903033282534978934412567
Composite cofactor 32431667423972112731880854634349986414225146854178788634897362293343190293972813615001904396070605264206683280180087405178843422194370444900048473001698082212736840801785680371520639551 has 185 digits
---
Resuming ECM residue saved by @1959bab85a66 with GMP-ECM 7.0.5-dev on Mon Oct 10 14:42:06 2022 
Input number is 32431667423972112731880854634349986414225146854178788634897362293343190293972813615001904396070605264206683280180087405178843422194370444900048473001698082212736840801785680371520639551 (185 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:115154889
Step 1 took 1ms
Step 2 took 10700ms
********** Factor found in step 2: 6952510836335390719185335243844924542941757
Found prime factor of 43 digits: 6952510836335390719185335243844924542941757
Prime cofactor 4664741729631962510811935119511519071921081216004610426878139788785464012910899793419793978309015774972923527289514880013199421255068022592043 has 142 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:53:13 UTC 2022 年 10 月 10 日 (月) 15 時 53 分 13 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 10, 2022 06:53:13 UTC 2022 年 10 月 10 日 (月) 15 時 53 分 13 秒 (日本時間)

29×10287+349

c262

composite cofactor 合成数の残り
1699222527194398846183657772426845542177409427808198413672878336739286978640505038419054571130519801057492258294055688238194205002935595162801711630095562198007715667980816836732171657869570878313485770238723912561901061845606349170067623031920735320141032134469<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:16:22 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 22 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:16:22 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 22 秒 (日本時間)

29×10288+349

c258

composite cofactor 合成数の残り
790653281583942106777967425323538468195764255589946205445956409782687377125132676564657224292330312234358772560246446564098799646138993610445084527428461065400344538801718191445569611846716649904462650006489488888496320955982783973102519776194719723880204453<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:16:17 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 17 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:16:17 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 17 秒 (日本時間)

29×10289+349

c275

composite cofactor 合成数の残り
25241979708926572047088907903239226065236112702315509406145998248737375229220567398877460552194566612651679894258509446020856083111025750403749688065959744960323259894935429470096041978784104442692792564311662533118520647461756175510984073667804722129263069448674462557265693<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:15:43 UTC 2022 年 10 月 18 日 (火) 18 時 15 分 43 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:15:43 UTC 2022 年 10 月 18 日 (火) 18 時 15 分 43 秒 (日本時間)

29×10290+349

c238

name 名前Dmitry Domanov
date 日付November 6, 2022 16:02:48 UTC 2022 年 11 月 7 日 (月) 1 時 2 分 48 秒 (日本時間)
composite number 合成数
1546007010351955524896921217470351835953662953358564105503369121767364218640445528100757568129520925584251931141033875741055220476802095738429048713480452986943871871709664772252070722764497243740046660207649787608505729690279961838832421<238>
prime factors 素因数
827226777852029760635685356443802020545434063<45>
1868903487827491026093883971658164414692737698320660483979760608431285278613195310763379615593638177445186437897901226364338451738103602175167333423119883972726753644839840797667118632132875467<193>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1cc036b131e1 with GMP-ECM 7.0.5-dev on Sat Nov  5 17:46:44 2022 
Input number is 1546007010351955524896921217470351835953662953358564105503369121767364218640445528100757568129520925584251931141033875741055220476802095738429048713480452986943871871709664772252070722764497243740046660207649787608505729690279961838832421 (238 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3079891199
Step 1 took 0ms
Step 2 took 30500ms
********** Factor found in step 2: 827226777852029760635685356443802020545434063
Found prime factor of 45 digits: 827226777852029760635685356443802020545434063
Prime cofactor 1868903487827491026093883971658164414692737698320660483979760608431285278613195310763379615593638177445186437897901226364338451738103602175167333423119883972726753644839840797667118632132875467 has 193 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:53:19 UTC 2022 年 10 月 10 日 (月) 15 時 53 分 19 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovOctober 10, 2022 06:53:19 UTC 2022 年 10 月 10 日 (月) 15 時 53 分 19 秒 (日本時間)
1792Dmitry DomanovNovember 5, 2022 09:54:24 UTC 2022 年 11 月 5 日 (土) 18 時 54 分 24 秒 (日本時間)

29×10291+349

c267

name 名前Eric Jeancolas
date 日付June 23, 2022 03:42:20 UTC 2022 年 6 月 23 日 (木) 12 時 42 分 20 秒 (日本時間)
composite number 合成数
302275044536044320062924896192243384062161437455499254838331109199009547792307511963098173263646268629263589394738555229177478061189227006213310402853430129082032891828475497272528062482565354756895225824846022077848559704927924130202898050890800891914646701295451953<267>
prime factors 素因数
3607533336271202485652718355829<31>
composite cofactor 合成数の残り
83789951847951621215188913434816661273695343288122916044217106562114989206883859984850243643988188604860626422873238884514361532506567522852395048027407836875140897757245705479923164999412125833662153616189892594515031738902732829249357<236>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 302275044536044320062924896192243384062161437455499254838331109199009547792307511963098173263646268629263589394738555229177478061189227006213310402853430129082032891828475497272528062482565354756895225824846022077848559704927924130202898050890800891914646701295451953 (267 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:914078288
Step 1 took 6218ms
Step 2 took 2954ms
********** Factor found in step 2: 3607533336271202485652718355829
Found prime factor of 31 digits: 3607533336271202485652718355829
Composite cofactor 83789951847951621215188913434816661273695343288122916044217106562114989206883859984850243643988188604860626422873238884514361532506567522852395048027407836875140897757245705479923164999412125833662153616189892594515031738902732829249357 has 236 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 10, 2022 06:53:24 UTC 2022 年 10 月 10 日 (月) 15 時 53 分 24 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovOctober 10, 2022 06:53:24 UTC 2022 年 10 月 10 日 (月) 15 時 53 分 24 秒 (日本時間)
1792Dmitry DomanovNovember 5, 2022 09:54:30 UTC 2022 年 11 月 5 日 (土) 18 時 54 分 30 秒 (日本時間)

29×10292+349

c257

composite cofactor 合成数の残り
29392251064806696227600773463033870105229268557318950113983294473380206407509690752245928397542843924298247303533566804343967937876413727283870829584919954763064567740932045734753240683007963598584249835904548433502316005684481429547237364351892056466690663<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:16:11 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 11 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:16:11 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 11 秒 (日本時間)

29×10293+349

c266

composite cofactor 合成数の残り
87902923815904320512913493145270411769436984441653003439427020339138383447398949797143360408192342537152633935757176860456253574735888463189340742417391421390683671034808811933119355717010183288690278511551612394744718855895352640068596638300630341459683693343966477<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:16:05 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 5 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:16:05 UTC 2022 年 10 月 18 日 (火) 18 時 16 分 5 秒 (日本時間)

29×10294+349

c258

name 名前Eric Jeancolas
date 日付June 23, 2022 09:10:46 UTC 2022 年 6 月 23 日 (木) 18 時 10 分 46 秒 (日本時間)
composite number 合成数
277427951920339185872103879942998194485293730884312960530666076374931976094304353843367226809936017108302718413279163524271642311814548421922214486465159080273956091734384692346361943729326179656522345293205343792011613416028256858355051341914145614171884431<258>
prime factors 素因数
66048919553687788662773270489<29>
composite cofactor 合成数の残り
4200340502085460954201569983547684142632143937031462153738421064266851009097434740930912318197810315659758016048477851012855610168716801832083092033234406054363393949471926510724850002981919459864270982035515233294646285571962279<229>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 277427951920339185872103879942998194485293730884312960530666076374931976094304353843367226809936017108302718413279163524271642311814548421922214486465159080273956091734384692346361943729326179656522345293205343792011613416028256858355051341914145614171884431 (258 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:4008203294
Step 1 took 5645ms
Step 2 took 2562ms
********** Factor found in step 2: 66048919553687788662773270489
Found prime factor of 29 digits: 66048919553687788662773270489
Composite cofactor 4200340502085460954201569983547684142632143937031462153738421064266851009097434740930912318197810315659758016048477851012855610168716801832083092033234406054363393949471926510724850002981919459864270982035515233294646285571962279 has 229 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

c229

name 名前Eric Jeancolas
date 日付June 24, 2022 17:08:33 UTC 2022 年 6 月 25 日 (土) 2 時 8 分 33 秒 (日本時間)
composite number 合成数
4200340502085460954201569983547684142632143937031462153738421064266851009097434740930912318197810315659758016048477851012855610168716801832083092033234406054363393949471926510724850002981919459864270982035515233294646285571962279<229>
prime factors 素因数
198070585963993421282979313085602501<36>
composite cofactor 合成数の残り
21206280991408924190359061721883792365095425132167070079665501030670035873950922275949269066686247469208842409045031179428632557194795819492732060429113774787396548092784516930573055751952614779<194>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1451810998
Step 1 took 3314ms
Step 2 took 1956ms
********** Factor found in step 2: 198070585963993421282979313085602501
Found prime factor of 36 digits: 198070585963993421282979313085602501
Composite cofactor 21206280991408924190359061721883792365095425132167070079665501030670035873950922275949269066686247469208842409045031179428632557194795819492732060429113774787396548092784516930573055751952614779 has 194 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

c194

name 名前Eric Jeancolas
date 日付June 26, 2022 15:44:51 UTC 2022 年 6 月 27 日 (月) 0 時 44 分 51 秒 (日本時間)
composite number 合成数
21206280991408924190359061721883792365095425132167070079665501030670035873950922275949269066686247469208842409045031179428632557194795819492732060429113774787396548092784516930573055751952614779<194>
prime factors 素因数
8780097802052597140176033188086087963<37>
2415267058466177214266338402832646120958282500537219849650660962534896879155658561515986822577847474471542239171838177168798512990969185731088450058016224033<157>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3946528236
Step 1 took 2976ms
Step 2 took 1658ms
********** Factor found in step 2: 8780097802052597140176033188086087963
Found prime factor of 37 digits: 8780097802052597140176033188086087963
Prime cofactor 2415267058466177214266338402832646120958282500537219849650660962534896879155658561515986822577847474471542239171838177168798512990969185731088450058016224033 has 157 digits
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10295+349

c295

name 名前Dmitry Domanov
date 日付October 21, 2022 04:10:00 UTC 2022 年 10 月 21 日 (金) 13 時 10 分 0 秒 (日本時間)
composite number 合成数
5370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371<295>
prime factors 素因数
37170451173173690715273386534927387711309<41>
composite cofactor 合成数の残り
144479558382283605124874724689946702960466381880695783179091321610386949375494619115883609056840735346043986569928781936092007009823759241308644094552585770616261428484223056722335051041858309570245939938152869836734879007954843123736679470429247461389519<255>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6e768406838a with GMP-ECM 7.0.5-dev on Wed Oct 19 10:02:54 2022 
Input number is 5370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371 (295 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:977400409
Step 1 took 0ms
Step 2 took 26466ms
********** Factor found in step 2: 37170451173173690715273386534927387711309
Found prime factor of 41 digits: 37170451173173690715273386534927387711309
Composite cofactor 144479558382283605124874724689946702960466381880695783179091321610386949375494619115883609056840735346043986569928781936092007009823759241308644094552585770616261428484223056722335051041858309570245939938152869836734879007954843123736679470429247461389519 has 255 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:15:48 UTC 2022 年 10 月 18 日 (火) 18 時 15 分 48 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:15:48 UTC 2022 年 10 月 18 日 (火) 18 時 15 分 48 秒 (日本時間)

29×10296+349

c260

composite cofactor 合成数の残り
43254309066499131291797492789285641514139267313527483660598471581633215926279278448950852201347913054370433855741484292385162311882754381247914447698777264488582179919063559332759789243628457489303483950431968116291777366230037745270237813209739992962011696573<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:15:58 UTC 2022 年 10 月 18 日 (火) 18 時 15 分 58 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:15:58 UTC 2022 年 10 月 18 日 (火) 18 時 15 分 58 秒 (日本時間)

29×10297+349

c268

composite cofactor 合成数の残り
2600451439797972057529232930330320991680647023274333698973998185873566556849693166526773387435158242288834306708265885306838755670833104700642590387524278742510810782070383749117859971980780843726801639554775383770595355792022743026187797201813782605375829990377356933<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 18, 2022 09:15:53 UTC 2022 年 10 月 18 日 (火) 18 時 15 分 53 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 18, 2022 09:15:53 UTC 2022 年 10 月 18 日 (火) 18 時 15 分 53 秒 (日本時間)

29×10298+349

c254

composite cofactor 合成数の残り
14070102884475826809399605020853227395550082624606442132937973996515440285329765243194258258204642878947040292730851378402724742620930140546922930987883261152200670067020346353861941865132787461828800408945779577976588683981470733771505101635087431769931<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 11, 2022 16:11:37 UTC 2022 年 10 月 12 日 (水) 1 時 11 分 37 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovOctober 11, 2022 16:11:37 UTC 2022 年 10 月 12 日 (水) 1 時 11 分 37 秒 (日本時間)

29×10299+349

c280

name 名前Dmitry Domanov
date 日付October 12, 2022 16:22:48 UTC 2022 年 10 月 13 日 (木) 1 時 22 分 48 秒 (日本時間)
composite number 合成数
2420238894970458797969975706279506092396083695655986215509572300802243829544157180806384700514483207663871727308488573168646709544239597512717735536725365666461414305195321144800173011746636877854293618883066773206632025948092503251495668344411330244074467566646486901316738305859<280>
prime factors 素因数
65387073908693291687970387822985666483713233<44>
composite cofactor 合成数の残り
37014026630861135199408212412405455134824117068767984470823734699321946805901448539289055783650230786232088338120797849666099611196170456717973003573464094804282112457609715854554758840894960011153920852223469535969421743510906737645523<236>
factorization results 素因数分解の結果
Resuming ECM residue saved by @8410cf738838 with GMP-ECM 7.0.5-dev on Tue Oct 11 17:20:06 2022 
Input number is 2420238894970458797969975706279506092396083695655986215509572300802243829544157180806384700514483207663871727308488573168646709544239597512717735536725365666461414305195321144800173011746636877854293618883066773206632025948092503251495668344411330244074467566646486901316738305859 (280 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1353001936
Step 1 took 0ms
Step 2 took 14319ms
********** Factor found in step 2: 65387073908693291687970387822985666483713233
Found prime factor of 44 digits: 65387073908693291687970387822985666483713233
Composite cofactor 37014026630861135199408212412405455134824117068767984470823734699321946805901448539289055783650230786232088338120797849666099611196170456717973003573464094804282112457609715854554758840894960011153920852223469535969421743510906737645523 has 236 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovOctober 11, 2022 16:11:29 UTC 2022 年 10 月 12 日 (水) 1 時 11 分 29 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovOctober 11, 2022 16:11:29 UTC 2022 年 10 月 12 日 (水) 1 時 11 分 29 秒 (日本時間)
1792Dmitry DomanovNovember 5, 2022 09:54:38 UTC 2022 年 11 月 5 日 (土) 18 時 54 分 38 秒 (日本時間)

29×10300+349

c267

composite cofactor 合成数の残り
868153457018344205274114048969823051583170234653768724681012011399450104184918808625640137515291844629996664045210494220862547304587485210518504195473196110466756745620048236200278033279514089479266757580382379054698948024820147609189533968822118000432921663070795783<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJune 12, 2022 15:51:08 UTC 2022 年 6 月 13 日 (月) 0 時 51 分 8 秒 (日本時間)
4511e63584Dmitry DomanovJune 15, 2022 09:05:09 UTC 2022 年 6 月 15 日 (水) 18 時 5 分 9 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJune 15, 2022 09:05:09 UTC 2022 年 6 月 15 日 (水) 18 時 5 分 9 秒 (日本時間)