Table of contents 目次

3×10136+2

c134

name 名前Dmitry Domanov
date 日付June 13, 2022 18:04:25 UTC 2022 年 6 月 14 日 (火) 3 時 4 分 25 秒 (日本時間)
composite number 合成数
43731778425655976676384839650145772594752186588921282798833819241982507288629737609329446064139941690962099125364431486880466472303207<134>
prime factors 素因数
145929055775306984666789672223502170125523906580832484899<57>
299678348450301826250144833150579425029393763503190823166479516430319907552493<78>
factorization results 素因数分解の結果
N=43731778425655976676384839650145772594752186588921282798833819241982507288629737609329446064139941690962099125364431486880466472303207
  ( 134 digits)
SNFS difficulty: 136 digits.
Divisors found:
p57 factor: 145929055775306984666789672223502170125523906580832484899
p78 factor: 299678348450301826250144833150579425029393763503190823166479516430319907552493
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.85 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 43731778425655976676384839650145772594752186588921282798833819241982507288629737609329446064139941690962099125364431486880466472303207
m: 10000000000000000000000000000000000
deg: 4
c4: 3
c0: 2
skew: 0.90
# Murphy_E = 8.411e-09
type: snfs
lss: 1
rlim: 1320000
alim: 1320000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1320000/1320000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [660000, 1360001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 190153 x 190379
Total sieving time: 1.79 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,136.000,4,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,100000
total time: 1.85 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)

3×10137+2

c127

name 名前Ignacio Santos
date 日付June 13, 2022 19:16:04 UTC 2022 年 6 月 14 日 (火) 4 時 16 分 4 秒 (日本時間)
composite number 合成数
4337639252191169897923798997668888092882797677639869993031660908037375146121572733546822496695330280082924883179177523245028703<127>
prime factors 素因数
1389548401654898996796206656252123400012906029<46>
3121617963811269518378425492164429353391935861233355619354872836673956810527368507<82>
factorization results 素因数分解の結果
N=4337639252191169897923798997668888092882797677639869993031660908037375146121572733546822496695330280082924883179177523245028703
  ( 127 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=1389548401654898996796206656252123400012906029 (pp46)
 r2=3121617963811269518378425492164429353391935861233355619354872836673956810527368507 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.53 hours.
Scaled time: 27.43 units (timescale=7.770).
Factorization parameters were as follows:
n: 4337639252191169897923798997668888092882797677639869993031660908037375146121572733546822496695330280082924883179177523245028703
m: 10000000000000000000000000000000000
deg: 4
c4: 15
c0: 1
skew: 0.51
# Murphy_E = 6.596e-09
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [675000, 1575001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 214811 x 215036
Total sieving time: 3.49 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,137.000,4,0,0,0,0,0,0,0,0,1350000,1350000,26,26,48,48,2.3,2.3,100000
total time: 3.53 hours.
software ソフトウェア
GNFS, 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)

3×10141+2

c124

name 名前Eric Jeancolas
date 日付June 15, 2022 05:31:49 UTC 2022 年 6 月 15 日 (水) 14 時 31 分 49 秒 (日本時間)
composite number 合成数
2766852010150147392734646073968611045197139417013562844564665018424915745337337326627640817589094623504328270707661601219259<124>
prime factors 素因数
109533433011194264950859782452944167856149999877<48>
25260342290808838506704373877022543511742171771551995585036483149205897957567<77>
factorization results 素因数分解の結果
2766852010150147392734646073968611045197139417013562844564665018424915745337337326627640817589094623504328270707661601219259=109533433011194264950859782452944167856149999877*25260342290808838506704373877022543511742171771551995585036483149205897957567

cado polynomial
n: 2766852010150147392734646073968611045197139417013562844564665018424915745337337326627640817589094623504328270707661601219259
skew: 0.51
type: snfs
c0: 1
c4: 15
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 15*x^4+1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1580000
tasks.lim1 = 1580000
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: 109533433011194264950859782452944167856149999877 25260342290808838506704373877022543511742171771551995585036483149205897957567
Info:Square Root: Total cpu/real time for sqrt: 23.89/18.9531
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.55/77.1824
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.69999999999999s
Info:Square Root: Total cpu/real time for sqrt: 23.89/18.9531
Info:Filtering - Singleton removal: Total cpu/real time for purge: 43.94/63.8147
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6057311
Info:Lattice Sieving: Average J: 1891.16 for 110357 special-q, max bucket fill -bkmult 1.0,1s:1.318330
Info:Lattice Sieving: Total time: 18684.1s
Info:Linear Algebra: Total cpu/real time for bwc: 492.32/417.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 241.62, WCT time 233.98, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5376 iterations)
Info:Linear Algebra: Lingen CPU time 106.04, WCT time 88.85
Info:Linear Algebra: Mksol: CPU time 129.64,  WCT time 80.87, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2688 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.67/39.7845
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.49/30.6602
Info:Filtering - Merging: Merged matrix has 170145 rows and total weight 28945804 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 39.16/31.3344
Info:Filtering - Merging: Total cpu/real time for replay: 5.71/6.27943
Info:Generate Factor Base: Total cpu/real time for makefb: 0.81/1.17654
Info:Quadratic Characters: Total cpu/real time for characters: 5.38/4.26186
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 18014.6/10204.1
Info:root: Cleaning up computation data in /tmp/cado.6c2zxbhr
109533433011194264950859782452944167856149999877 25260342290808838506704373877022543511742171771551995585036483149205897957567
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)

3×10142+2

c136

name 名前Taiyo Kodama
date 日付June 17, 2022 07:31:09 UTC 2022 年 6 月 17 日 (金) 16 時 31 分 9 秒 (日本時間)
composite number 合成数
3098777243158364663692804577265841414083612033915497170919669571185007537259181108862316988798333436281599522705670493794285400276286979<136>
prime factors 素因数
369383046898650451392561966259268017779577<42>
8389061894355406895340229513839073385853750618682004733384410239076179269862182577194108699227<94>
factorization results 素因数分解の結果
Fri Jun 17 16:29:59 2022  Msieve v. 1.53 (SVN unknown)
Fri Jun 17 16:29:59 2022  random seeds: a6eb6b00 85904137
Fri Jun 17 16:29:59 2022  factoring 3098777243158364663692804577265841414083612033915497170919669571185007537259181108862316988798333436281599522705670493794285400276286979 (136 digits)
Fri Jun 17 16:29:59 2022  searching for 15-digit factors
Fri Jun 17 16:30:00 2022  commencing number field sieve (136-digit input)
Fri Jun 17 16:30:00 2022  R0: -10000000000000000000000000000
Fri Jun 17 16:30:00 2022  R1: 1
Fri Jun 17 16:30:00 2022  A0: 1
Fri Jun 17 16:30:00 2022  A1: 0
Fri Jun 17 16:30:00 2022  A2: 0
Fri Jun 17 16:30:00 2022  A3: 0
Fri Jun 17 16:30:00 2022  A4: 0
Fri Jun 17 16:30:00 2022  A5: 150
Fri Jun 17 16:30:00 2022  skew 0.37, size 6.802e-10, alpha 0.214, combined = 3.663e-09 rroots = 1
Fri Jun 17 16:30:00 2022  
Fri Jun 17 16:30:00 2022  commencing square root phase
Fri Jun 17 16:30:00 2022  reading relations for dependency 1
Fri Jun 17 16:30:00 2022  read 91320 cycles
Fri Jun 17 16:30:00 2022  cycles contain 279740 unique relations
Fri Jun 17 16:30:02 2022  read 279740 relations
Fri Jun 17 16:30:03 2022  multiplying 279740 relations
Fri Jun 17 16:30:06 2022  multiply complete, coefficients have about 7.36 million bits
Fri Jun 17 16:30:06 2022  initial square root is modulo 294071411
Fri Jun 17 16:30:10 2022  GCD is 1, no factor found
Fri Jun 17 16:30:10 2022  reading relations for dependency 2
Fri Jun 17 16:30:10 2022  read 90903 cycles
Fri Jun 17 16:30:10 2022  cycles contain 278800 unique relations
Fri Jun 17 16:30:13 2022  read 278800 relations
Fri Jun 17 16:30:13 2022  multiplying 278800 relations
Fri Jun 17 16:30:16 2022  multiply complete, coefficients have about 7.34 million bits
Fri Jun 17 16:30:16 2022  initial square root is modulo 275399791
Fri Jun 17 16:30:20 2022  sqrtTime: 20
Fri Jun 17 16:30:20 2022  p42 factor: 369383046898650451392561966259268017779577
Fri Jun 17 16:30:20 2022  p94 factor: 8389061894355406895340229513839073385853750618682004733384410239076179269862182577194108699227
Fri Jun 17 16:30:20 2022  elapsed time 00:00:21
Fri Jun 17 16:30:20 2022 -> Computing time scale for this machine...
Fri Jun 17 16:30:20 2022 -> procrels -speedtest> PIPE

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)

3×10148+2

c122

name 名前Florian Baur
date 日付June 19, 2022 06:18:30 UTC 2022 年 6 月 19 日 (日) 15 時 18 分 30 秒 (日本時間)
composite number 合成数
36665311074305620459476310241964773883912263117587982268182549817319038079799938966487879274010006629690318170297303401307<122>
prime factors 素因数
2337684298499762557632596829344147725889112722147<49>
15684457947480774686095961538148906477754254787842356150775438926976874281<74>
factorization results 素因数分解の結果
PID120020 2022-06-18 16:15:56,797 Info:Complete Factorization / Discrete logarithm: Square Root
PID120020 2022-06-18 16:15:56,797 Info:Square Root: Total cpu/real time for sqrt: 2399.21/118.279
PID120020 2022-06-18 16:15:56,797 Info:HTTP server: Got notification to stop serving Workunits
PID120020 2022-06-18 16:15:56,797 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 374.56/91.1175
PID120020 2022-06-18 16:15:56,797 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID120020 2022-06-18 16:15:56,797 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.4s
PID120020 2022-06-18 16:15:56,797 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID120020 2022-06-18 16:15:56,797 Info:Polynomial Selection (root optimized): Total time: 424.13
PID120020 2022-06-18 16:15:56,798 Info:Polynomial Selection (root optimized): Rootsieve time: 423.67
PID120020 2022-06-18 16:15:56,798 Info:Lattice Sieving: Aggregate statistics:
PID120020 2022-06-18 16:15:56,798 Info:Lattice Sieving: Total number of relations: 31501087
PID120020 2022-06-18 16:15:56,798 Info:Lattice Sieving: Average J: 3946.06 for 114174 special-q, max bucket fill -bkmult 1.0,1s:1.110460
PID120020 2022-06-18 16:15:56,798 Info:Lattice Sieving: Total time: 23847.2s
PID120020 2022-06-18 16:15:56,798 Info:Linear Algebra: Total cpu/real time for bwc: 8894.26/927.06
PID120020 2022-06-18 16:15:56,798 Info:Linear Algebra: Aggregate statistics:
PID120020 2022-06-18 16:15:56,798 Info:Linear Algebra: Krylov: CPU time 5457.81, WCT time 572.69, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22000 iterations)
PID120020 2022-06-18 16:15:56,798 Info:Linear Algebra: Lingen CPU time 278.79, WCT time 12.31
PID120020 2022-06-18 16:15:56,798 Info:Linear Algebra: Mksol: CPU time 2758.69,  WCT time 290.29, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11000 iterations)
PID120020 2022-06-18 16:15:56,798 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID120020 2022-06-18 16:15:56,798 Info:Polynomial Selection (size optimized): potential collisions: 13846.4
PID120020 2022-06-18 16:15:56,798 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9384/36.760/44.000/51.480/1.426
PID120020 2022-06-18 16:15:56,798 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7643/34.850/38.637/44.720/0.965
PID120020 2022-06-18 16:15:56,798 Info:Polynomial Selection (size optimized): Total time: 670.19
PID120020 2022-06-18 16:15:56,798 Info:Filtering - Merging: Total cpu/real time for merge: 117.53/17.4996
PID120020 2022-06-18 16:15:56,798 Info:Filtering - Merging: Total cpu/real time for replay: 23.26/17.2202
PID120020 2022-06-18 16:15:56,798 Info:Generate Factor Base: Total cpu/real time for makefb: 3.48/0.495211
PID120020 2022-06-18 16:15:56,798 Info:Quadratic Characters: Total cpu/real time for characters: 26.09/6.33965
PID120020 2022-06-18 16:15:56,798 Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.84/33.0112
PID120020 2022-06-18 16:15:56,798 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 144.37/37.4799
PID120020 2022-06-18 16:15:56,798 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID120020 2022-06-18 16:15:56,798 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 37.4s
PID120020 2022-06-18 16:15:56,798 Info:Square Root: Total cpu/real time for sqrt: 2399.21/118.279
PID120020 2022-06-18 16:15:56,798 Info:Generate Free Relations: Total cpu/real time for freerel: 373.31/37.1311
PID120020 2022-06-18 16:15:56,800 Info:HTTP server: Shutting down HTTP server
PID120020 2022-06-18 16:15:57,019 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 60904.7/6262.94

2337684298499762557632596829344147725889112722147 15684457947480774686095961538148906477754254787842356150775438926976874281
software ソフトウェア
cado-nfs
execution environment 実行環境
Epyc 7401P, 128 GB, Ubuntu

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)

3×10151+2

c128

name 名前Eric Jeancolas
date 日付June 19, 2022 02:15:14 UTC 2022 年 6 月 19 日 (日) 11 時 15 分 14 秒 (日本時間)
composite number 合成数
23437116144277370422670698317784716742268637044002944359454243484928752662417355836669793068296694454263238481954245195612728031<128>
prime factors 素因数
5017595648930813533460918392222992769424988902611156007<55>
4670985424915920601213073465833971663471635791796388590513980483352311433<73>
factorization results 素因数分解の結果
23437116144277370422670698317784716742268637044002944359454243484928752662417355836669793068296694454263238481954245195612728031=
5017595648930813533460918392222992769424988902611156007*4670985424915920601213073465833971663471635791796388590513980483352311433

cado polynomial
n: 23437116144277370422670698317784716742268637044002944359454243484928752662417355836669793068296694454263238481954245195612728031
skew: 0.58
type: snfs
c0: 1
c5: 15
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 15*x^5+1
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2300000
tasks.lim1 = 2300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
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: 4670985424915920601213073465833971663471635791796388590513980483352311433 5017595648930813533460918392222992769424988902611156007
Info:Square Root: Total cpu/real time for sqrt: 32.2/10.1988
Info:Generate Free Relations: Total cpu/real time for freerel: 59.55/16.8851
Info:Filtering - Singleton removal: Total cpu/real time for purge: 110.13/91.6498
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11667897
Info:Lattice Sieving: Average J: 1893.8 for 146280 special-q, max bucket fill -bkmult 1.0,1s:1.250400
Info:Lattice Sieving: Total time: 18978s
Info:Linear Algebra: Total cpu/real time for bwc: 577.65/151.48
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 343.66, WCT time 88.73, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Linear Algebra: Lingen CPU time 28.52, WCT time 7.29
Info:Linear Algebra: Mksol: CPU time 187.96,  WCT time 48.47, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 42.6/45.1025
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 45.0s
Info:Filtering - Merging: Merged matrix has 209435 rows and total weight 35746586 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.03/11.4698
Info:Filtering - Merging: Total cpu/real time for replay: 6.29/5.26301
Info:Generate Factor Base: Total cpu/real time for makefb: 1/0.551912
Info:Quadratic Characters: Total cpu/real time for characters: 6.55/2.5311
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 96.42/81.4443
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 73.3s
Info:Square Root: Total cpu/real time for sqrt: 32.2/10.1988
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 35483.6/10037.5
Info:root: Cleaning up computation data in /tmp/cado.luxtl0_5
4670985424915920601213073465833971663471635791796388590513980483352311433 5017595648930813533460918392222992769424988902611156007
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)

3×10154+2

c135

name 名前Eric Jeancolas
date 日付June 19, 2022 08:49:15 UTC 2022 年 6 月 19 日 (日) 17 時 49 分 15 秒 (日本時間)
composite number 合成数
126278775086046412852736751920070808656542481967270524908302863577778395689231880584668168073359736394786039650145335308333761365383833<135>
prime factors 素因数
2494672070562155726408776982994956733931162090188003662573<58>
50619388646777303141746986624988012503017245231894366437292844535369061862621<77>
factorization results 素因数分解の結果
126278775086046412852736751920070808656542481967270524908302863577778395689231880584668168073359736394786039650145335308333761365383833=2494672070562155726408776982994956733931162090188003662573*50619388646777303141746986624988012503017245231894366437292844535369061862621

cado polynomial
n: 126278775086046412852736751920070808656542481967270524908302863577778395689231880584668168073359736394786039650145335308333761365383833
skew: 0.73
type: snfs
c0: 5
c5: 24
Y0: 5000000000000000000000000000000
Y1: -1
# f(x) = 24*x^5+5
# g(x) = -x+5000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2700000
tasks.lim1 = 2700000
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: 50619388646777303141746986624988012503017245231894366437292844535369061862621 2494672070562155726408776982994956733931162090188003662573
Info:Square Root: Total cpu/real time for sqrt: 86.45/27.2227
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.68/76.6863
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11666874
Info:Lattice Sieving: Average J: 1895.35 for 196699 special-q, max bucket fill -bkmult 1.0,1s:1.199660
Info:Lattice Sieving: Total time: 23535.2s
Info:Linear Algebra: Total cpu/real time for bwc: 1199.05/311.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 730.36, WCT time 187.79, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Linear Algebra: Lingen CPU time 45.31, WCT time 11.53
Info:Linear Algebra: Mksol: CPU time 398.25,  WCT time 101.59, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.57/17.7347
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.57/47.9951
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.17/87.3271
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 75.5s
Info:Filtering - Merging: Merged matrix has 291193 rows and total weight 49660842 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.12/16.5313
Info:Filtering - Merging: Total cpu/real time for replay: 9/7.50199
Info:Generate Factor Base: Total cpu/real time for makefb: 1.16/0.647576
Info:Quadratic Characters: Total cpu/real time for characters: 9.21/3.59829
Info:Square Root: Total cpu/real time for sqrt: 86.45/27.2227
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 44599.1/12529.9
Info:root: Cleaning up computation data in /tmp/cado.7di7632m
50619388646777303141746986624988012503017245231894366437292844535369061862621 2494672070562155726408776982994956733931162090188003662573
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)

3×10156+2

c147

name 名前Bob Backstrom
date 日付June 12, 2022 18:16:50 UTC 2022 年 6 月 13 日 (月) 3 時 16 分 50 秒 (日本時間)
composite number 合成数
240746627747750862387362756007072981203396154449053156826356610308853192301784589156062903472359214966841511949175830474258615499536984930921773229<147>
prime factors 素因数
65859648106881678262276929489535815610440482870117<50>
3655449651918125477790246855215825458975755628606994392782835505487838009734613004489253080141737<97>
factorization results 素因数分解の結果
Number: n
N=240746627747750862387362756007072981203396154449053156826356610308853192301784589156062903472359214966841511949175830474258615499536984930921773229  ( 147 digits)
SNFS difficulty: 156 digits.
Divisors found:

Mon Jun 13 04:11:22 2022  p50 factor: 65859648106881678262276929489535815610440482870117
Mon Jun 13 04:11:22 2022  p97 factor: 3655449651918125477790246855215825458975755628606994392782835505487838009734613004489253080141737
Mon Jun 13 04:11:22 2022  elapsed time 00:05:53 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 3x10^156+2 = 30(155)2
#
n: 240746627747750862387362756007072981203396154449053156826356610308853192301784589156062903472359214966841511949175830474258615499536984930921773229
m: 10000000000000000000000000000000
deg: 5
c5: 15
c0: 1
skew: 0.58
# Murphy_E = 1.056e-09
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 1359002 hash collisions in 15064037 relations (14713432 unique)
Msieve: matrix is 364262 x 364491 (121.2 MB)

Sieving start time : 2022/06/13 03:29:34
Sieving end time  : 2022/06/13 04:05:14

Total sieving time: 0hrs 35min 40secs.

Total relation processing time: 0hrs 2min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

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)

3×10159+2

c91

name 名前Eric Jeancolas
date 日付June 12, 2022 21:06:23 UTC 2022 年 6 月 13 日 (月) 6 時 6 分 23 秒 (日本時間)
composite number 合成数
3300007871312164042271393531340396361522598664027811205963627683213515071679833453486038441<91>
prime factors 素因数
1024044766183451164517138056576351309<37>
3222523057865019579254142707299024964447569051704812749<55>
factorization results 素因数分解の結果
fac: factoring 3300007871312164042271393531340396361522598664027811205963627683213515071679833453486038441
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: 214/214 curves on C91, B1=50K, B2=gmp-ecm default, ETA: 0 sec
pm1: starting B1 = 3750K, B2 = gmp-ecm default on C91
ecm: 230/230 curves on C91, B1=250K, B2=gmp-ecm default, ETA: 0 sec

starting SIQS on c91: 3300007871312164042271393531340396361522598664027811205963627683213515071679833453486038441

==== sieving in progress (1 thread):   75424 relations needed ====
====           Press ctrl-c to abort and save state           ====
75434 rels found: 20344 full + 55090 from 961126 partial, (786.32 rels/sec)

SIQS elapsed time = 1258.8048 seconds.
Total factoring time = 1362.1280 seconds


***factors found***

P55 = 3222523057865019579254142707299024964447569051704812749
P37 = 1024044766183451164517138056576351309
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)

3×10160+2

c125

name 名前Bob Backstrom
date 日付June 20, 2022 00:12:26 UTC 2022 年 6 月 20 日 (月) 9 時 12 分 26 秒 (日本時間)
composite number 合成数
92462774304796737012481231650695460992721227274956446110453394399479488438596970705340292598759734023354369709463478901895527<125>
prime factors 素因数
98575517053531196751367976215051904306884745003<47>
937989239808755458676546062138449497884668550658490092392679245053737710563509<78>
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 92462774304796737012481231650695460992721227274956446110453394399479488438596970705340292598759734023354369709463478901895527 (125 digits)
Using B1=15620000, B2=46848203230, polynomial Dickson(12), sigma=1:1218300879
Step 1 took 23102ms
Step 2 took 9919ms
********** Factor found in step 2: 98575517053531196751367976215051904306884745003
Found prime factor of 47 digits: 98575517053531196751367976215051904306884745003
Prime cofactor 937989239808755458676546062138449497884668550658490092392679245053737710563509 has 78 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 SantosJune 19, 2022 16:40:14 UTC 2022 年 6 月 20 日 (月) 1 時 40 分 14 秒 (日本時間)

3×10161+2

c111

name 名前Eric Jeancolas
date 日付June 13, 2022 07:17:58 UTC 2022 年 6 月 13 日 (月) 16 時 17 分 58 秒 (日本時間)
composite number 合成数
593075623911404095692879226607724614866823684519159674692772645541769011000252759940320240111180622806527744699<111>
prime factors 素因数
97967803327338819670772022650156785145808241<44>
6053780974651096104556040535471603171952610558246030573515624111339<67>
factorization results 素因数分解の結果
593075623911404095692879226607724614866823684519159674692772645541769011000252759940320240111180622806527744699=97967803327338819670772022650156785145808241*6053780974651096104556040535471603171952610558246030573515624111339

cado polynomial
n: 593075623911404095692879226607724614866823684519159674692772645541769011000252759940320240111180622806527744699
skew: 18505.631
c0: 24279884173755713144313489
c1: -1511000482428850172035
c2: -544834339899068259
c3: 1116205889647
c4: 251706558
c5: 12600
Y0: -2663830990669236494508
Y1: 7059874403020837
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.415e-06
# f(x) = 12600*x^5+251706558*x^4+1116205889647*x^3-544834339899068259*x^2-1511000482428850172035*x+24279884173755713144313489
# g(x) = 7059874403020837*x-2663830990669236494508

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
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: 6053780974651096104556040535471603171952610558246030573515624111339 97967803327338819670772022650156785145808241
Info:Square Root: Total cpu/real time for sqrt: 248.57/94.6831
Info:Filtering - Singleton removal: Total cpu/real time for purge: 70.91/89.9889
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5515012
Info:Lattice Sieving: Average J: 1888.26 for 112917 special-q, max bucket fill -bkmult 1.0,1s:1.286650
Info:Lattice Sieving: Total time: 14124.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.3/1.12913
Info:Linear Algebra: Total cpu/real time for bwc: 7892.58/2820.24
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 771.94, WCT time 333.36, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (9856 iterations)
Info:Linear Algebra: Lingen CPU time 6670.51, WCT time 2293.39
Info:Linear Algebra: Mksol: CPU time 424.55,  WCT time 180.14, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (4864 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.3/22.7982
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.33/27.7486
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 26.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 213.88
Info:Polynomial Selection (root optimized): Rootsieve time: 212.86
Info:Filtering - Merging: Merged matrix has 311358 rows and total weight 48478632 (155.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51.32/19.8521
Info:Filtering - Merging: Total cpu/real time for replay: 10.63/8.71027
Info:Quadratic Characters: Total cpu/real time for characters: 11.69/5.83105
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 12005/32.490/39.425/45.480/1.108
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9386/31.140/34.899/39.860/0.898
Info:Polynomial Selection (size optimized): Total time: 703.65
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 97.41/135.668
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.0s
Info:Square Root: Total cpu/real time for sqrt: 248.57/94.6831
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 28181.2/10569.4
Info:root: Cleaning up computation data in /tmp/cado.k6a1luo7
6053780974651096104556040535471603171952610558246030573515624111339 97967803327338819670772022650156785145808241
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)

3×10163+2

c128

name 名前Eric Jeancolas
date 日付June 18, 2022 16:52:31 UTC 2022 年 6 月 19 日 (日) 1 時 52 分 31 秒 (日本時間)
composite number 合成数
37507650076058924363636213774515380799976259412570764242066493018538465532221711348386204375132431332389304291849242653804535649<128>
prime factors 素因数
276122078150943465459747747877282103<36>
55702570955850203511338874119619892097908493<44>
2438616353075834224463482213306494984360998518531<49>
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 37507650076058924363636213774515380799976259412570764242066493018538465532221711348386204375132431332389304291849242653804535649 (128 digits)
Run 112 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3285347495
Step 1 took 1375ms
Step 2 took 920ms
********** Factor found in step 2: 276122078150943465459747747877282103
Found prime factor of 36 digits: 276122078150943465459747747877282103
Composite cofactor 135837200441303308570187988669717541967866616214518890015043373739257476923682151576602783783 has 93 digits

cado polynomial
n: 135837200441303308570187988669717541967866616214518890015043373739257476923682151576602783783
skew: 51547.951
c0: 358520825691805897839152
c1: -14050121864641038806
c2: -609989320979367
c3: 4551726576
c4: 37620
Y0: -2064915963003697879911
Y1: 181073494511738947
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 1.355e-05
# f(x) = 37620*x^4+4551726576*x^3-609989320979367*x^2-14050121864641038806*x+358520825691805897839152
# g(x) = 181073494511738947*x-2064915963003697879911

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: 2438616353075834224463482213306494984360998518531 55702570955850203511338874119619892097908493
Info:Square Root: Total cpu/real time for sqrt: 225.84/29.7634
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 7181.67
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7299/29.750/35.437/43.310/1.279
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4879/29.570/33.444/37.000/1.098
Info:Polynomial Selection (size optimized): Total time: 154.9
Info:Generate Factor Base: Total cpu/real time for makefb: 0.83/0.152837
Info:Generate Free Relations: Total cpu/real time for freerel: 37.31/4.48117
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 44.4/34.4943
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 29.1s
Info:Quadratic Characters: Total cpu/real time for characters: 5.73/1.71113
Info:Square Root: Total cpu/real time for sqrt: 225.84/29.7634
Info:Linear Algebra: Total cpu/real time for bwc: 17170.7/2031.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 180.49, WCT time 39.48, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3264 iterations)
Info:Linear Algebra: Lingen CPU time 16881.13, WCT time 1967.2
Info:Linear Algebra: Mksol: CPU time 100.17,  WCT time 21.85, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1600 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2409005
Info:Lattice Sieving: Average J: 987.241 for 25738 special-q, max bucket fill -bkmult 1.0,1s:1.321350
Info:Lattice Sieving: Total time: 3707.68s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 22.16/21.4721
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.62/20.5069
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 71.51
Info:Polynomial Selection (root optimized): Rootsieve time: 71.04
Info:Filtering - Merging: Merged matrix has 102302 rows and total weight 14870180 (145.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51.8/7.01014
Info:Filtering - Merging: Total cpu/real time for replay: 4.27/3.32166
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 23092.5/2882.82
Info:root: Cleaning up computation data in /tmp/cado.mnn4_cen
2438616353075834224463482213306494984360998518531 55702570955850203511338874119619892097908493
software ソフトウェア
GMP-ECM 7.0.4
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)

3×10168+2

c133

name 名前Eric Jeancolas
date 日付June 19, 2022 07:41:38 UTC 2022 年 6 月 19 日 (日) 16 時 41 分 38 秒 (日本時間)
composite number 合成数
2366689315496040731420145013084736787700001398974072473500652191145543919692191337299588045916303284161340006792106605988147960782253<133>
prime factors 素因数
4178508692351101951640706473633119369<37>
566395690363967322131986796577867947289476971852036652214418374225623258822051303758501233522437<96>
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 2366689315496040731420145013084736787700001398974072473500652191145543919692191337299588045916303284161340006792106605988147960782253 (133 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:304424626
Step 1 took 1359ms
Step 2 took 910ms
********** Factor found in step 2: 4178508692351101951640706473633119369
Found prime factor of 37 digits: 4178508692351101951640706473633119369
Prime cofactor 566395690363967322131986796577867947289476971852036652214418374225623258822051303758501233522437 has 96 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)

3×10169+2

c137

name 名前Eric Jeancolas
date 日付June 21, 2022 20:06:13 UTC 2022 年 6 月 22 日 (水) 5 時 6 分 13 秒 (日本時間)
composite number 合成数
52340993063397373608518212003753540336082520870856752926619803371273707406878486407949841296408078362222301031330415517825464756209406537<137>
prime factors 素因数
19013152493922657410416936784357454804560908032574806637083571<62>
2752883462125893615856433005457530131227674706661007562265932777795503049747<76>
factorization results 素因数分解の結果
52340993063397373608518212003753540336082520870856752926619803371273707406878486407949841296408078362222301031330415517825464756209406537=19013152493922657410416936784357454804560908032574806637083571*2752883462125893615856433005457530131227674706661007562265932777795503049747

cado polynomial
n: 52340993063397373608518212003753540336082520870856752926619803371273707406878486407949841296408078362222301031330415517825464756209406537
skew: 0.73
type: snfs
c0: 5
c5: 24
Y0: 5000000000000000000000000000000000
Y1: -1
# f(x) = 24*x^5+5
# g(x) = -x+5000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4700000
tasks.lim1 = 4700000
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: 19013152493922657410416936784357454804560908032574806637083571 2752883462125893615856433005457530131227674706661007562265932777795503049747
Info:Square Root: Total cpu/real time for sqrt: 644.45/196.421
Info:Quadratic Characters: Total cpu/real time for characters: 29.12/11.4188
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 121.76/113.082
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.5s
Info:Square Root: Total cpu/real time for sqrt: 644.45/196.421
Info:Linear Algebra: Total cpu/real time for bwc: 9999.88/2573.81
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6310.57, WCT time 1615.2, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 144.54, WCT time 36.84
Info:Linear Algebra: Mksol: CPU time 3419.42,  WCT time 875.2, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 64.69/75.6768
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11766004
Info:Lattice Sieving: Average J: 1893.12 for 443289 special-q, max bucket fill -bkmult 1.0,1s:1.250120
Info:Lattice Sieving: Total time: 56035.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.05/16.9986
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.87/50.6861
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.6s
Info:Filtering - Merging: Merged matrix has 804001 rows and total weight 137198638 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 179.31/50.7017
Info:Filtering - Merging: Total cpu/real time for replay: 29.55/24.6296
Info:Generate Factor Base: Total cpu/real time for makefb: 2.04/1.15622
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 114781/31149.5
Info:root: Cleaning up computation data in /tmp/cado.lxb0qzo9
19013152493922657410416936784357454804560908032574806637083571 2752883462125893615856433005457530131227674706661007562265932777795503049747
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)

3×10170+2

c129

name 名前Eric Jeancolas
date 日付June 19, 2022 13:18:31 UTC 2022 年 6 月 19 日 (日) 22 時 18 分 31 秒 (日本時間)
composite number 合成数
484956585068042792101534090675200586824574455901865977423701452585516831175089808991297743434166718698252094806633409718732220419<129>
prime factors 素因数
77052829551991552467882804571762358237<38>
6293819291098419120416826152649791660283272369285667047733386025897975010294567806905307487<91>
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 484956585068042792101534090675200586824574455901865977423701452585516831175089808991297743434166718698252094806633409718732220419 (129 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:110490316
Step 1 took 1473ms
Step 2 took 1002ms
********** Factor found in step 2: 77052829551991552467882804571762358237
Found prime factor of 38 digits: 77052829551991552467882804571762358237
Prime cofactor 6293819291098419120416826152649791660283272369285667047733386025897975010294567806905307487 has 91 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)

3×10171+2

c169

name 名前Bob Backstrom
date 日付June 13, 2022 19:12:31 UTC 2022 年 6 月 14 日 (火) 4 時 12 分 31 秒 (日本時間)
composite number 合成数
7109004739336492890995260663507109004739336492890995260663507109004739336492890995260663507109004739336492890995260663507109004739336492890995260663507109004739336492891<169>
prime factors 素因数
1306612952896529741184704144806519433<37>
5440788508622302542060975460230490961629597488632590740510230928254676958656144197838194811314210009871103770973624312012674636415427<133>
factorization results 素因数分解の結果
Number: n
N=7109004739336492890995260663507109004739336492890995260663507109004739336492890995260663507109004739336492890995260663507109004739336492890995260663507109004739336492891  ( 169 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue Jun 14 05:01:36 2022  p37 factor: 1306612952896529741184704144806519433
Tue Jun 14 05:01:36 2022  p133 factor: 5440788508622302542060975460230490961629597488632590740510230928254676958656144197838194811314210009871103770973624312012674636415427
Tue Jun 14 05:01:36 2022  elapsed time 00:15:39 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 3x10^171+2 = 30(170)2
#
n: 7109004739336492890995260663507109004739336492890995260663507109004739336492890995260663507109004739336492890995260663507109004739336492890995260663507109004739336492891
m: 10000000000000000000000000000000000
deg: 5
c5: 15
c0: 1
skew: 0.58
# Murphy_E = 2.732e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 985062 hash collisions in 11627327 relations (11388966 unique)
Msieve: matrix is 779244 x 779471 (269.9 MB)

Sieving start time : 2022/06/14 03:33:53
Sieving end time  : 2022/06/14 04:45:20

Total sieving time: 1hrs 11min 27secs.

Total relation processing time: 0hrs 8min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 54sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
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)

3×10172+2

c158

name 名前Bob Backstrom
date 日付June 14, 2022 13:42:25 UTC 2022 年 6 月 14 日 (火) 22 時 42 分 25 秒 (日本時間)
composite number 合成数
19226053808457987804895921840852848747721857037648652034222431856475911365195112782507696510046538329261466593085421564632852548243923710846498493016231815503<158>
prime factors 素因数
9152545702773032815750164009846260208130854770789793772026937<61>
2100623633338743070805671808521168114397054640312879745726477408916353132718171129599120332530119<97>
factorization results 素因数分解の結果
Number: n
N=19226053808457987804895921840852848747721857037648652034222431856475911365195112782507696510046538329261466593085421564632852548243923710846498493016231815503  ( 158 digits)
SNFS difficulty: 172 digits.
Divisors found:

Tue Jun 14 23:37:40 2022  p61 factor: 9152545702773032815750164009846260208130854770789793772026937
Tue Jun 14 23:37:40 2022  p97 factor: 2100623633338743070805671808521168114397054640312879745726477408916353132718171129599120332530119
Tue Jun 14 23:37:40 2022  elapsed time 00:12:56 (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 = 3x10^172+2 = 30(171)2
#
n: 19226053808457987804895921840852848747721857037648652034222431856475911365195112782507696510046538329261466593085421564632852548243923710846498493016231815503
m: 10000000000000000000000000000000000
deg: 5
c5: 150
c0: 1
skew: 0.37
# Murphy_E = 2.558e-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, 8200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1092152 hash collisions in 12210350 relations (11895051 unique)
Msieve: matrix is 731273 x 731499 (255.1 MB)

Sieving start time : 2022/06/14 22:28:39
Sieving end time  : 2022/06/14 23:24:28

Total sieving time: 0hrs 55min 49secs.

Total relation processing time: 0hrs 8min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 41sec.

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) ----------
[    0.117895] 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)

3×10173+2

c150

name 名前Bob Backstrom
date 日付June 18, 2022 22:41:15 UTC 2022 年 6 月 19 日 (日) 7 時 41 分 15 秒 (日本時間)
composite number 合成数
227282579659422145084318958628657534451455283175510414517414842759979195750760355325980048283933122316917623353896142730073924554182951105794728771399<150>
prime factors 素因数
142476532882713972352588073725966413951451830271787408299<57>
1595228175902624757349792484758068365423935768537445991594701213593806338822860124981145906901<94>
factorization results 素因数分解の結果
Number: n
N=227282579659422145084318958628657534451455283175510414517414842759979195750760355325980048283933122316917623353896142730073924554182951105794728771399  ( 150 digits)
SNFS difficulty: 173 digits.
Divisors found:

Sun Jun 19 08:37:32 2022  p57 factor: 142476532882713972352588073725966413951451830271787408299
Sun Jun 19 08:37:32 2022  p94 factor: 1595228175902624757349792484758068365423935768537445991594701213593806338822860124981145906901
Sun Jun 19 08:37:32 2022  elapsed time 00:17:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 3x10^173+2 = 30(172)2
#
n: 227282579659422145084318958628657534451455283175510414517414842759979195750760355325980048283933122316917623353896142730073924554182951105794728771399
m: 10000000000000000000000000000000000
deg: 5
c5: 1500
c0: 1
skew: 0.23
# Murphy_E = 1.692e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1216809 hash collisions in 11932980 relations (11438074 unique)
Msieve: matrix is 927528 x 927753 (321.7 MB)

Sieving start time : 2022/06/19 06:48:47
Sieving end time  : 2022/06/19 08:19:56

Total sieving time: 1hrs 31min 9secs.

Total relation processing time: 0hrs 13min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
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)

3×10175+2

c121

name 名前Ignacio Santos
date 日付June 13, 2022 15:38:06 UTC 2022 年 6 月 14 日 (火) 0 時 38 分 6 秒 (日本時間)
composite number 合成数
1320211732549790344120302559255955359049740821040473431015925878602353459576350032341092576215748035916609245287970985483<121>
prime factors 素因数
721233462780484030945512868791979<33>
1830491513053398719596339305152864893541299418551433514774771794366124331192200566418977<88>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:469823387
Step 1 took 4829ms
Step 2 took 2968ms
********** Factor found in step 2: 721233462780484030945512868791979
Found prime factor of 33 digits: 721233462780484030945512868791979
Prime cofactor 1830491513053398719596339305152864893541299418551433514774771794366124331192200566418977 has 88 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)

3×10177+2

c156

name 名前Ignacio Santos
date 日付June 14, 2022 17:55:35 UTC 2022 年 6 月 15 日 (水) 2 時 55 分 35 秒 (日本時間)
composite number 合成数
777164954909495280260827573619420227997949750650829824251997804247568082658267077768018031092127439027848715594665569000109875744013603377643147620043243017<156>
prime factors 素因数
12097650158781053798966442351010831849<38>
64240984382028252015840820155888085698659961980374186980951032113145996301852504749855193795148313237538171040119008033<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3328761316
Step 1 took 7062ms
Step 2 took 3750ms
********** Factor found in step 2: 12097650158781053798966442351010831849
Found prime factor of 38 digits: 12097650158781053798966442351010831849
Prime cofactor 64240984382028252015840820155888085698659961980374186980951032113145996301852504749855193795148313237538171040119008033 has 119 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)

3×10183+2

c175

name 名前Bob Backstrom
date 日付June 18, 2022 00:40:11 UTC 2022 年 6 月 18 日 (土) 9 時 40 分 11 秒 (日本時間)
composite number 合成数
7859573894458843736900218952533523427432745482092927609064542983252489843583528493976063646745561872842353751446141947645691100480298036718786976839056586841393447748853247561<175>
prime factors 素因数
1317820524996612088384714964262979492552778848343279291977430175617477039929154671<82>
5964070027274047411744474110117308420840361250244745197009542828355671576059912921818012347591<94>
factorization results 素因数分解の結果
Number: n
N=7859573894458843736900218952533523427432745482092927609064542983252489843583528493976063646745561872842353751446141947645691100480298036718786976839056586841393447748853247561  ( 175 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sat Jun 18 10:32:11 2022  p82 factor: 1317820524996612088384714964262979492552778848343279291977430175617477039929154671
Sat Jun 18 10:32:11 2022  p94 factor: 5964070027274047411744474110117308420840361250244745197009542828355671576059912921818012347591
Sat Jun 18 10:32:11 2022  elapsed time 00:23:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 3x10^183+2 = 30(182)2
#
n: 7859573894458843736900218952533523427432745482092927609064542983252489843583528493976063646745561872842353751446141947645691100480298036718786976839056586841393447748853247561
m: 1000000000000000000000000000000000000
deg: 5
c5: 1500
c0: 1
skew: 0.23
# Murphy_E = 6.699e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3410832 hash collisions in 29220108 relations (27511377 unique)
Msieve: matrix is 980953 x 981180 (334.7 MB)

Sieving start time : 2022/06/18 06:41:34
Sieving end time  : 2022/06/18 10:08:11

Total sieving time: 3hrs 26min 37secs.

Total relation processing time: 0hrs 15min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
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)

3×10184+2

c157

name 名前Ignacio Santos
date 日付June 18, 2022 19:45:02 UTC 2022 年 6 月 19 日 (日) 4 時 45 分 2 秒 (日本時間)
composite number 合成数
2022227778644315128370696292157555492043096706853223429175363727846071932701643624761882721955364065475794323841629058875622718889035149936095158536609971521<157>
prime factors 素因数
4848323499111907317625097450090453<34>
417098359673140030657398810939533344106889787705932850249642604199491592573521338055588030282034089406258155716905100736957<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3287711856
Step 1 took 7109ms
Step 2 took 3735ms
********** Factor found in step 2: 4848323499111907317625097450090453
Found prime factor of 34 digits: 4848323499111907317625097450090453
Prime cofactor 417098359673140030657398810939533344106889787705932850249642604199491592573521338055588030282034089406258155716905100736957 has 123 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)

3×10185+2

c130

name 名前Ignacio Santos
date 日付June 18, 2022 19:45:50 UTC 2022 年 6 月 19 日 (日) 4 時 45 分 50 秒 (日本時間)
composite number 合成数
1370653646688513008483678640108760561507291205663275001524728589142843856214497544619874368840781104446558853463302090131020823847<130>
prime factors 素因数
84849565943136302530231060063698109<35>
composite cofactor 合成数の残り
16153926439730817179447134581272723945832792231489911831617779745524632500459608633945862351283<95>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1513489860
Step 1 took 2609ms
Step 2 took 2203ms
********** Factor found in step 2: 84849565943136302530231060063698109
Found prime factor of 35 digits: 84849565943136302530231060063698109
Composite cofactor 16153926439730817179447134581272723945832792231489911831617779745524632500459608633945862351283 has 95 digits
software ソフトウェア
GMP-ECM

c95

name 名前Ignacio Santos
date 日付June 19, 2022 14:36:14 UTC 2022 年 6 月 19 日 (日) 23 時 36 分 14 秒 (日本時間)
composite number 合成数
16153926439730817179447134581272723945832792231489911831617779745524632500459608633945862351283<95>
prime factors 素因数
436645544640129013420755764168348710561<39>
36995514183121756956282662078652156033407037639186203603<56>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2418586206
Step 1 took 2625ms
Step 2 took 2235ms
********** Factor found in step 2: 436645544640129013420755764168348710561
Found prime factor of 39 digits: 436645544640129013420755764168348710561
Prime cofactor 36995514183121756956282662078652156033407037639186203603 has 56 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)

3×10187+2

c170

name 名前ebina
date 日付June 21, 2022 21:15:42 UTC 2022 年 6 月 22 日 (水) 6 時 15 分 42 秒 (日本時間)
composite number 合成数
60049833755979047161166847483127205291346221224604652615184623545711239850686831408445574486488691395645548015620421872667212974306704859425490722455269190425242690445569<170>
prime factors 素因数
2804179720199512525600968387406616363733507956683917549601<58>
21414402694455905128420145373290335016137133012622755568883631559689474545564945425676366513544401888871879763169<113>
factorization results 素因数分解の結果
Number: 30002_187
N = 60049833755979047161166847483127205291346221224604652615184623545711239850686831408445574486488691395645548015620421872667212974306704859425490722455269190425242690445569 (170 digits)
SNFS difficulty: 188 digits.
Divisors found:
r1=2804179720199512525600968387406616363733507956683917549601 (pp58)
r2=21414402694455905128420145373290335016137133012622755568883631559689474545564945425676366513544401888871879763169 (pp113)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 18.18 hours.
Factorization parameters were as follows:
n: 60049833755979047161166847483127205291346221224604652615184623545711239850686831408445574486488691395645548015620421872667212974306704859425490722455269190425242690445569
m: 10000000000000000000000000000000000000
deg: 5
c5: 150
c0: 1
skew: 0.37
# Murphy_E = 6.341e-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
Sieved rational special-q in [0, 0)
Total raw relations: 20855118
Relations: 3106780 relations
Pruned matrix : 1827825 x 1828050
Total sieving time: 16.18 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.73 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,188,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000
total time: 18.18 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
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)
403e62350Ignacio SantosJune 19, 2022 15:07:13 UTC 2022 年 6 月 20 日 (月) 0 時 7 分 13 秒 (日本時間)

3×10188+2

c170

name 名前Bob Backstrom
date 日付June 21, 2022 19:16:32 UTC 2022 年 6 月 22 日 (水) 4 時 16 分 32 秒 (日本時間)
composite number 合成数
10415260470653847123269435587219128150636510599122586454734731318099084091190639618113143275216339102315110493067815648232109922038829673351466645709280529091282403885979<170>
prime factors 素因数
13962955521987036152598913173232959324197431698052657173157817850415799780085871153<83>
745920908668172518160850287050787256354149887683161751805591544144276695058395673768843<87>
factorization results 素因数分解の結果
Number: n
N=10415260470653847123269435587219128150636510599122586454734731318099084091190639618113143275216339102315110493067815648232109922038829673351466645709280529091282403885979  ( 170 digits)
SNFS difficulty: 188 digits.
Divisors found:

Wed Jun 22 05:07:36 2022  p83 factor: 13962955521987036152598913173232959324197431698052657173157817850415799780085871153
Wed Jun 22 05:07:36 2022  p87 factor: 745920908668172518160850287050787256354149887683161751805591544144276695058395673768843
Wed Jun 22 05:07:36 2022  elapsed time 00:34:22 (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 = 3x10^188+2 = 30(187)2
#
n: 10415260470653847123269435587219128150636510599122586454734731318099084091190639618113143275216339102315110493067815648232109922038829673351466645709280529091282403885979
m: 10000000000000000000000000000000000000
deg: 5
c5: 1500
c0: 1
skew: 0.23
# Murphy_E = 4.188e-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 3333384 hash collisions in 28663385 relations (26991060 unique)
Msieve: matrix is 1189244 x 1189471 (412.3 MB)

Sieving start time : 2022/06/21 23:45:38
Sieving end time  : 2022/06/22 04:29:51

Total sieving time: 4hrs 44min 13secs.

Total relation processing time: 0hrs 24min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 5sec.

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 15:40:15 UTC 2022 年 6 月 20 日 (月) 0 時 40 分 15 秒 (日本時間)

3×10189+2

c135

name 名前Eric Jeancolas
date 日付July 12, 2022 05:53:17 UTC 2022 年 7 月 12 日 (火) 14 時 53 分 17 秒 (日本時間)
composite number 合成数
117133060918684805427818941488024998875399325058587268007755503830398064260042609359171454373452636221979931621722084935170368425253143<135>
prime factors 素因数
9798415384535137938269976897632737288923538469858930907241<58>
11954286108706535461378874441179346480669969308065044764477496927208417162623<77>
factorization results 素因数分解の結果
117133060918684805427818941488024998875399325058587268007755503830398064260042609359171454373452636221979931621722084935170368425253143=9798415384535137938269976897632737288923538469858930907241*11954286108706535461378874441179346480669969308065044764477496927208417162623

cado polynomial
n: 117133060918684805427818941488024998875399325058587268007755503830398064260042609359171454373452636221979931621722084935170368425253143
skew: 0.73
type: snfs
c0: 5
c5: 24
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 24*x^5+5
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10200000
tasks.lim1 = 10200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
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: 9798415384535137938269976897632737288923538469858930907241 11954286108706535461378874441179346480669969308065044764477496927208417162623
Info:Square Root: Total cpu/real time for sqrt: 933.41/287.799
Info:Filtering - Singleton removal: Total cpu/real time for purge: 331.47/388.186
Info:Generate Free Relations: Total cpu/real time for freerel: 118.8/32.4614
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25628293
Info:Lattice Sieving: Average J: 1894.07 for 2159682 special-q, max bucket fill -bkmult 1.0,1s:1.143270
Info:Lattice Sieving: Total time: 489043s
Info:Linear Algebra: Total cpu/real time for bwc: 68229.2/17487.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 43751.14, WCT time 11153.97, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (62720 iterations)
Info:Linear Algebra: Lingen CPU time 397.4, WCT time 101.11
Info:Linear Algebra: Mksol: CPU time 23694.89,  WCT time 6072.18, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31488 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.94/121.9
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 121.4s
Info:Filtering - Merging: Merged matrix has 2004959 rows and total weight 343456111 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 545.09/151.204
Info:Filtering - Merging: Total cpu/real time for replay: 77.39/66.9746
Info:Generate Factor Base: Total cpu/real time for makefb: 4.32/2.31217
Info:Quadratic Characters: Total cpu/real time for characters: 70.34/31.1001
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 444.41/446.922
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 359.80000000000007s
Info:Square Root: Total cpu/real time for sqrt: 933.41/287.799
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 995484/203931
Info:root: Cleaning up computation data in /tmp/cado.kxlu0sf0
9798415384535137938269976897632737288923538469858930907241 11954286108706535461378874441179346480669969308065044764477496927208417162623
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 19:14:15 UTC 2022 年 6 月 22 日 (水) 4 時 14 分 15 秒 (日本時間)

3×10194+2

c189

name 名前Bob Backstrom
date 日付July 18, 2022 21:36:40 UTC 2022 年 7 月 19 日 (火) 6 時 36 分 40 秒 (日本時間)
composite number 合成数
212952933142716796733585942834914627169103084836189505395517482725967906573289171627286937041175159466254768371094620666940192878569978463360028166574623676674981295634038964708020233368021<189>
prime factors 素因数
1669910205908368268107196637870973888331714341258761607685840421560667408011<76>
127523583237745660872280845347310090256001398911714252593903418520159908465966911984787165000940573011341314970911<114>
factorization results 素因数分解の結果
Number: n
N=212952933142716796733585942834914627169103084836189505395517482725967906573289171627286937041175159466254768371094620666940192878569978463360028166574623676674981295634038964708020233368021  ( 189 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sun Jul 17 00:55:28 2022  p76 factor: 1669910205908368268107196637870973888331714341258761607685840421560667408011
Sun Jul 17 00:55:28 2022  p114 factor: 127523583237745660872280845347310090256001398911714252593903418520159908465966911984787165000940573011341314970911
Sun Jul 17 00:55:28 2022  elapsed time 01:01:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 3x10^194+2 = 30(193)2
#
n: 212952933142716796733585942834914627169103084836189505395517482725967906573289171627286937041175159466254768371094620666940192878569978463360028166574623676674981295634038964708020233368021
m: 500000000000000000000000000000000000000
deg: 5
c5: 24
c0: 5
skew: 0.73
# Murphy_E = 2.444e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3320909 hash collisions in 27992135 relations (26260197 unique)
Msieve: matrix is 1604981 x 1605206 (556.5 MB)

Sieving start time : 2022/07/16 17:47:25
Sieving end time  : 2022/07/16 23:53:07

Total sieving time: 6hrs 5min 42secs.

Total relation processing time: 0hrs 49min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 55sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 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)

3×10195+2

c184

name 名前Bob Backstrom
date 日付July 20, 2022 11:33:10 UTC 2022 年 7 月 20 日 (水) 20 時 33 分 10 秒 (日本時間)
composite number 合成数
7324287784166126309591990003326988535852195120125623513345719780125824282913829694213837137555966091893547879285457513019971485216296036449786092000682385162205464614091003312027540347<184>
prime factors 素因数
93819160223793711744202101033736859861147350496881<50>
78068144787215814111714283424924073225696835040926737139149572068646912070871932970968203570020778513919236361597284694498691038895787<134>
factorization results 素因数分解の結果
Number: n
N=7324287784166126309591990003326988535852195120125623513345719780125824282913829694213837137555966091893547879285457513019971485216296036449786092000682385162205464614091003312027540347  ( 184 digits)
SNFS difficulty: 195 digits.
Divisors found:

Wed Jul 20 21:25:38 2022  p50 factor: 93819160223793711744202101033736859861147350496881
Wed Jul 20 21:25:38 2022  p134 factor: 78068144787215814111714283424924073225696835040926737139149572068646912070871932970968203570020778513919236361597284694498691038895787
Wed Jul 20 21:25:38 2022  elapsed time 00:47:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 3x10^195+2 = 30(194)2
#
n: 7324287784166126309591990003326988535852195120125623513345719780125824282913829694213837137555966091893547879285457513019971485216296036449786092000682385162205464614091003312027540347
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3
c0: 2
skew: 0.92
# Murphy_E = 3.166e-11
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3130023 hash collisions in 28742055 relations (27334043 unique)
Msieve: matrix is 1421795 x 1422020 (496.5 MB)

Sieving start time : 2022/07/20 15:46:07
Sieving end time  : 2022/07/20 20:37:14

Total sieving time: 4hrs 51min 7secs.

Total relation processing time: 0hrs 37min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 32sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12700000,12700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 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 SantosJuly 19, 2022 10:30:30 UTC 2022 年 7 月 19 日 (火) 19 時 30 分 30 秒 (日本時間)

3×10196+2

c173

name 名前Bob Backstrom
date 日付July 24, 2022 04:48:58 UTC 2022 年 7 月 24 日 (日) 13 時 48 分 58 秒 (日本時間)
composite number 合成数
16863872979992471673535070858257710325946519858830167382514653103167598776604046983887387553820174144494705311158748791324613141630732751039999374675650800385848894598956599<173>
prime factors 素因数
1669901562390448416789185882508021434823606259560856494893601777151177802828497<79>
10098722798876836636626101886454064340535636561417507422137919080314689838244537410401545400967<95>
factorization results 素因数分解の結果
Number: n
N=16863872979992471673535070858257710325946519858830167382514653103167598776604046983887387553820174144494705311158748791324613141630732751039999374675650800385848894598956599  ( 173 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sun Jul 24 14:43:16 2022  p79 factor: 1669901562390448416789185882508021434823606259560856494893601777151177802828497
Sun Jul 24 14:43:16 2022  p95 factor: 10098722798876836636626101886454064340535636561417507422137919080314689838244537410401545400967
Sun Jul 24 14:43:16 2022  elapsed time 01:00:49 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 3x10^196+2 = 30(195)2
#
n: 16863872979992471673535070858257710325946519858830167382514653103167598776604046983887387553820174144494705311158748791324613141630732751039999374675650800385848894598956599
m: 1000000000000000000000000000000000000000
deg: 5
c5: 15
c0: 1
skew: 0.58
# Murphy_E = 2.62e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3178186 hash collisions in 28220398 relations (26696311 unique)
Msieve: matrix is 1524251 x 1524476 (530.8 MB)

Sieving start time : 2022/07/24 08:18:26
Sieving end time  : 2022/07/24 13:41:58

Total sieving time: 5hrs 23min 32secs.

Total relation processing time: 0hrs 44min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 55sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 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)

3×10197+2

c154

name 名前Eric Jeancolas
date 日付October 23, 2022 01:09:12 UTC 2022 年 10 月 23 日 (日) 10 時 9 分 12 秒 (日本時間)
composite number 合成数
1575911501984291954591200591554986364881579479527819399068358265102222886906733225064055078198566758631280032166791601079247460562541381519538738564471873<154>
prime factors 素因数
1900426779800712460812446401544350894467158189297289923<55>
829240841443809438044413205462726255575133603102755963938562039862817378777072119224554087822484651<99>
factorization results 素因数分解の結果
1575911501984291954591200591554986364881579479527819399068358265102222886906733225064055078198566758631280032166791601079247460562541381519538738564471873=1900426779800712460812446401544350894467158189297289923*829240841443809438044413205462726255575133603102755963938562039862817378777072119224554087822484651

cado polynomial
n: 1575911501984291954591200591554986364881579479527819399068358265102222886906733225064055078198566758631280032166791601079247460562541381519538738564471873
skew: 0.37
type: snfs
c0: 1
c5: 150
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 150*x^5+1
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13500000
tasks.lim1 = 13500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 829240841443809438044413205462726255575133603102755963938562039862817378777072119224554087822484651 1900426779800712460812446401544350894467158189297289923
Info:Square Root: Total cpu/real time for sqrt: 1228.24/376.922
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28198485
Info:Lattice Sieving: Average J: 1893.72 for 2781126 special-q, max bucket fill -bkmult 1.0,1s:1.145960
Info:Lattice Sieving: Total time: 865652s
Info:Quadratic Characters: Total cpu/real time for characters: 84.68/37.7543
Info:Generate Factor Base: Total cpu/real time for makefb: 5.69/2.60941
Info:Square Root: Total cpu/real time for sqrt: 1228.24/376.922
Info:Generate Free Relations: Total cpu/real time for freerel: 118.17/30.4687
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 516.63/526.769
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 431.6s
Info:Filtering - Merging: Merged matrix has 2449617 rows and total weight 418437400 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 685.52/188.545
Info:Filtering - Merging: Total cpu/real time for replay: 94.82/83.0878
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 119.84/132.768
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 131.6s
Info:Linear Algebra: Total cpu/real time for bwc: 104083/26703.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 66663.74, WCT time 17011.71, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (76800 iterations)
Info:Linear Algebra: Lingen CPU time 526.9, WCT time 133.5
Info:Linear Algebra: Mksol: CPU time 36019.33,  WCT time 9244.19, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38400 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 417.05/480.933
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.78653e+06/36972.3
829240841443809438044413205462726255575133603102755963938562039862817378777072119224554087822484651 1900426779800712460812446401544350894467158189297289923
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)
403e62350Ignacio SantosJuly 26, 2022 12:21:05 UTC 2022 年 7 月 26 日 (火) 21 時 21 分 5 秒 (日本時間)

3×10198+2

c166

name 名前Bob Backstrom
date 日付August 24, 2022 20:30:48 UTC 2022 年 8 月 25 日 (木) 5 時 30 分 48 秒 (日本時間)
composite number 合成数
1803317512911302970105864925904056038522804079309770083904756999259668236875407757391406791834937301281656597560733663699919770647974634394332336249438625006665337267<166>
prime factors 素因数
1258008114158912172416560182624178114840763643455289998532260266831<67>
1433470494041270595336340435698670385522973911445814493973862828765159270328648256776697536788580957<100>
factorization results 素因数分解の結果
Number: n
N=1803317512911302970105864925904056038522804079309770083904756999259668236875407757391406791834937301281656597560733663699919770647974634394332336249438625006665337267  ( 166 digits)
SNFS difficulty: 198 digits.
Divisors found:

Thu Aug 25 06:15:18 2022  p67 factor: 1258008114158912172416560182624178114840763643455289998532260266831
Thu Aug 25 06:15:18 2022  p100 factor: 1433470494041270595336340435698670385522973911445814493973862828765159270328648256776697536788580957
Thu Aug 25 06:15:18 2022  elapsed time 01:27:28 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 3x10^198+2 = 30(197)2
#
n: 1803317512911302970105864925904056038522804079309770083904756999259668236875407757391406791834937301281656597560733663699919770647974634394332336249438625006665337267
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1500
c0: 1
skew: 0.23
# Murphy_E = 1.616e-11
type: snfs
lss: 1
rlim: 14100000
alim: 14100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3533440 hash collisions in 27497734 relations (25439683 unique)
Msieve: matrix is 1938427 x 1938652 (675.2 MB)

Sieving start time : 2022/08/24 21:32:41
Sieving end time  : 2022/08/25 04:47:20

Total sieving time: 7hrs 14min 39secs.

Total relation processing time: 1hrs 13min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 48sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14100000,14100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 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)
403e62350Ignacio SantosAugust 19, 2022 16:27:10 UTC 2022 年 8 月 20 日 (土) 1 時 27 分 10 秒 (日本時間)

3×10199+2

c186

name 名前Bob Backstrom
date 日付August 31, 2022 21:49:54 UTC 2022 年 9 月 1 日 (木) 6 時 49 分 54 秒 (日本時間)
composite number 合成数
253688933080485190364288981525491170901010160911622935172409981564185773858569126225063210349056859619787995252722092231725297121468205189559787052146906152575046968385150391137220947407<186>
prime factors 素因数
3007804804041989994182101004193082263386465855363143720071052589705939545816334267<82>
84343549401732920836046536065948345437661194131640934488392506259218416804022019998219019204489096263421<104>
factorization results 素因数分解の結果
Number: n
N=253688933080485190364288981525491170901010160911622935172409981564185773858569126225063210349056859619787995252722092231725297121468205189559787052146906152575046968385150391137220947407  ( 186 digits)
SNFS difficulty: 199 digits.
Divisors found:

Thu Sep  1 07:44:24 2022  p82 factor: 3007804804041989994182101004193082263386465855363143720071052589705939545816334267
Thu Sep  1 07:44:24 2022  p104 factor: 84343549401732920836046536065948345437661194131640934488392506259218416804022019998219019204489096263421
Thu Sep  1 07:44:24 2022  elapsed time 01:31:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 3x10^199+2 = 30(198)2
#
n: 253688933080485190364288981525491170901010160911622935172409981564185773858569126225063210349056859619787995252722092231725297121468205189559787052146906152575046968385150391137220947407
m: 5000000000000000000000000000000000000000
deg: 5
c5: 24
c0: 5
skew: 0.73
# Murphy_E = 1.512e-11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3531562 hash collisions in 27318970 relations (25243962 unique)
Msieve: matrix is 2060497 x 2060722 (719.0 MB)

Sieving start time : 2022/08/31 21:36:42
Sieving end time  : 2022/09/01 06:12:04

Total sieving time: 8hrs 35min 22secs.

Total relation processing time: 1hrs 21min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 37sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 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)
403e62078ebinaJuly 25, 2022 04:49:00 UTC 2022 年 7 月 25 日 (月) 13 時 49 分 0 秒 (日本時間)

3×10200+2

c161

name 名前Bob Backstrom
date 日付October 4, 2022 14:45:59 UTC 2022 年 10 月 4 日 (火) 23 時 45 分 59 秒 (日本時間)
composite number 合成数
77050907382158659701162359524513105126076174101178317348361767066326619364078883177216492498445489297387891576004320297867435669766693964244861377155795563643243<161>
prime factors 素因数
37817944182072251474378935327794127230526500053333698029558909810385493<71>
2037416603377529765577255949105975450033727622855656159651785019794304063964863825011266751<91>
factorization results 素因数分解の結果
Number: n
N=77050907382158659701162359524513105126076174101178317348361767066326619364078883177216492498445489297387891576004320297867435669766693964244861377155795563643243  ( 161 digits)
SNFS difficulty: 200 digits.
Divisors found:

Wed Oct  5 01:38:21 2022  p71 factor: 37817944182072251474378935327794127230526500053333698029558909810385493
Wed Oct  5 01:38:21 2022  p91 factor: 2037416603377529765577255949105975450033727622855656159651785019794304063964863825011266751
Wed Oct  5 01:38:21 2022  elapsed time 00:55:53 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.356).
Factorization parameters were as follows:
#
# N = 3x10^200+2 = 30(199)2
#
n: 77050907382158659701162359524513105126076174101178317348361767066326619364078883177216492498445489297387891576004320297867435669766693964244861377155795563643243
m: 10000000000000000000000000000000000000000
deg: 5
c5: 3
c0: 2
skew: 0.92
# Murphy_E = 1.957e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 34200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3952091 hash collisions in 25173516 relations (22336700 unique)
Msieve: matrix is 1497753 x 1497978 (520.7 MB)

Sieving start time : 2022/10/04 14:44:01
Sieving end time  : 2022/10/05 00:42:01

Total sieving time: 9hrs 58min 0secs.

Total relation processing time: 0hrs 41min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 49sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,52,52,2.6,2.6,100000
total time: 0.00 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)
403e644262076ebinaJuly 25, 2022 10:03:58 UTC 2022 年 7 月 25 日 (月) 19 時 3 分 58 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2022 07:35:19 UTC 2022 年 9 月 4 日 (日) 16 時 35 分 19 秒 (日本時間)

3×10203+2

c159

name 名前Eric Jeancolas
date 日付June 19, 2022 15:10:43 UTC 2022 年 6 月 20 日 (月) 0 時 10 分 43 秒 (日本時間)
composite number 合成数
232433901846496588925122106422213184345012314497595255577128987097025253348664438086049342307796592793506757318566232112402997224828073508425388099201434616317<159>
prime factors 素因数
99196147344705959250871359375421<32>
composite cofactor 合成数の残り
2343174690432182910968638245501149448248653596290550582579270757950139615058904630185634060768041946249213766478413281418230977<127>
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 232433901846496588925122106422213184345012314497595255577128987097025253348664438086049342307796592793506757318566232112402997224828073508425388099201434616317 (159 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3132118548
Step 1 took 2178ms
Step 2 took 1304ms
********** Factor found in step 2: 99196147344705959250871359375421
Found prime factor of 32 digits: 99196147344705959250871359375421
Composite cofactor 2343174690432182910968638245501149448248653596290550582579270757950139615058904630185634060768041946249213766478413281418230977 has 127 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)

c127

name 名前Eric Jeancolas
date 日付June 22, 2022 15:19:29 UTC 2022 年 6 月 23 日 (木) 0 時 19 分 29 秒 (日本時間)
composite number 合成数
2343174690432182910968638245501149448248653596290550582579270757950139615058904630185634060768041946249213766478413281418230977<127>
prime factors 素因数
62948958926007185041222970854102961010479599113391764402043817<62>
37223406556833569630019650449533829390030309113565076162018715481<65>
factorization results 素因数分解の結果
2343174690432182910968638245501149448248653596290550582579270757950139615058904630185634060768041946249213766478413281418230977=
62948958926007185041222970854102961010479599113391764402043817*37223406556833569630019650449533829390030309113565076162018715481

cado polynomial
n: 2343174690432182910968638245501149448248653596290550582579270757950139615058904630185634060768041946249213766478413281418230977
skew: 18220.46
c0: 6457381825891385437684030776
c1: -96945709250744356835362
c2: -86581689169725371817
c3: 2590638068993875
c4: 108391023894
c5: 2577960
Y0: -1396890660485134241998235
Y1: 830304342475659127
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.100e-07
# f(x) = 2577960*x^5+108391023894*x^4+2590638068993875*x^3-86581689169725371817*x^2-96945709250744356835362*x+6457381825891385437684030776
# g(x) = 830304342475659127*x-1396890660485134241998235

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 37223406556833569630019650449533829390030309113565076162018715481 62948958926007185041222970854102961010479599113391764402043817
Info:Square Root: Total cpu/real time for sqrt: 331.07/98.9927
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 222.1/221.941
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 178.50000000000003s
Info:Square Root: Total cpu/real time for sqrt: 331.07/98.9927
Info:Filtering - Singleton removal: Total cpu/real time for purge: 162.68/187.276
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12543746
Info:Lattice Sieving: Average J: 3789.32 for 287675 special-q, max bucket fill -bkmult 1.0,1s:1.312610
Info:Lattice Sieving: Total time: 84413.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.6/2.31457
Info:Generate Free Relations: Total cpu/real time for freerel: 126.92/32.3674
Info:Linear Algebra: Total cpu/real time for bwc: 10797.9/2776.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6815.97, WCT time 1745.53, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Linear Algebra: Lingen CPU time 146.61, WCT time 37.24
Info:Linear Algebra: Mksol: CPU time 3702.41,  WCT time 945.36, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.81/62.0441
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2639.94
Info:Polynomial Selection (root optimized): Rootsieve time: 2637.55
Info:Filtering - Merging: Merged matrix has 837085 rows and total weight 143188385 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 177.66/51.0509
Info:Filtering - Merging: Total cpu/real time for replay: 31.47/25.9838
Info:Quadratic Characters: Total cpu/real time for characters: 30.95/12.2988
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20142/36.920/45.036/49.660/0.857
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16038/36.700/40.431/45.840/1.040
Info:Polynomial Selection (size optimized): Total time: 1945.59
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 173498/46877.2
Info:root: Cleaning up computation data in /tmp/cado.g3q1zue9
37223406556833569630019650449533829390030309113565076162018715481 62948958926007185041222970854102961010479599113391764402043817
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 16:59:30 UTC 2022 年 6 月 22 日 (水) 1 時 59 分 30 秒 (日本時間)

3×10205+2

c206

composite cofactor 合成数の残り
15000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<206>

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)
403e62078ebinaJuly 25, 2022 18:25:41 UTC 2022 年 7 月 26 日 (火) 3 時 25 分 41 秒 (日本時間)

3×10206+2

c178

name 名前Eric Jeancolas
date 日付June 19, 2022 15:11:54 UTC 2022 年 6 月 20 日 (月) 0 時 11 分 54 秒 (日本時間)
composite number 合成数
4867828813296200990966448730753896828153265342009417629327114438000557920141227515368098856782597575030859861933428686824160999337312695166851817583930945658400623771931194939201<178>
prime factors 素因数
932880490701579208388023846013<30>
1500830643405169855814002327056772321<37>
3476783099058145498036124011589253035980319755328711114955705723933106492197793134715360598237006687802594259637<112>
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 4867828813296200990966448730753896828153265342009417629327114438000557920141227515368098856782597575030859861933428686824160999337312695166851817583930945658400623771931194939201 (178 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2785563668
Step 1 took 2618ms
Step 2 took 1478ms
********** Factor found in step 2: 932880490701579208388023846013
Found prime factor of 30 digits: 932880490701579208388023846013
Composite cofactor 5218062615539656909147060218854424226270764115255486758601935898503337085578207149842480247470008193735634172034807278291693264375435841239869107477 has 148 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:859328492
Step 1 took 1800ms
Step 2 took 1168ms
********** Factor found in step 2: 1500830643405169855814002327056772321
Found prime factor of 37 digits: 1500830643405169855814002327056772321
Prime cofactor 3476783099058145498036124011589253035980319755328711114955705723933106492197793134715360598237006687802594259637 has 112 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)

3×10211+2

c151

composite cofactor 合成数の残り
3998386901806276350226830788900228656464028339132657670004070741478464106216282051590513867354356689158642664711288989952359719694919164663322503920773<151>

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)
403e62078ebinaJuly 27, 2022 09:47:52 UTC 2022 年 7 月 27 日 (水) 18 時 47 分 52 秒 (日本時間)

3×10212+2

c213

composite cofactor 合成数の残り
150000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<213>

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)
403e62078ebinaJuly 27, 2022 21:49:49 UTC 2022 年 7 月 28 日 (木) 6 時 49 分 49 秒 (日本時間)

3×10213+2

c175

composite cofactor 合成数の残り
3850342469780942514405573219191376761762273181624209779058248395150158333550074677973616407763400292032093912833737961711099293392259461414937521842347984452652163785213879359<175>

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)
403e62078ebinaJuly 27, 2022 22:00:44 UTC 2022 年 7 月 28 日 (木) 7 時 0 分 44 秒 (日本時間)

3×10214+2

c174

composite cofactor 合成数の残り
320809587955797897380202460723299285248796222462258445245873871687237084246899183318169682358113258167866779401879870703020801751045217511293121612797541019400831862931306119<174>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:46:58 UTC 2022 年 11 月 4 日 (金) 0 時 46 分 58 秒 (日本時間)

3×10215+2

c211

composite cofactor 合成数の残り
8508707243746100175846616370752736967496738328889897328265925463724544784162459583640592206024164728572238924499404390492937772987690736854047308412275228316977707187021385217539281865108627829145158545578308469<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:47:02 UTC 2022 年 11 月 4 日 (金) 0 時 47 分 2 秒 (日本時間)

3×10216+2

c191

name 名前Eric Jeancolas
date 日付June 19, 2022 19:02:54 UTC 2022 年 6 月 20 日 (月) 4 時 2 分 54 秒 (日本時間)
composite number 合成数
17002510167200130234498709909911587942788614774341006805915729906458105537925177027161420467253926600076836293440404028136082638706667578698658341752401612499386171992412492473504800155981211<191>
prime factors 素因数
7070806245469449228093823<25>
1758861034821927916746498526801<31>
1367138704351370888883739137868360500127554174815480175328034319884920422666825396673199146061500688254748791010562787184268521040009557<136>
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 1700251016720013023449870990991158794278861477434100680591572990645810553792517702716142046725392660007683629344040402813608263870666757869865834175240161249
9386171992412492473504800155981211 (191 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2464112295
Step 1 took 3368ms
Step 2 took 1854ms
********** Factor found in step 2: 7070806245469449228093823
Found prime factor of 25 digits: 7070806245469449228093823
Composite cofactor 2404606996280561968110581960991618637831354429796647502281553802194036927430778364227727246129027441582803591471481204813093421389320250940688079684259418679460637157 has 166 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:4165271220
Step 1 took 2229ms
Step 2 took 1286ms
********** Factor found in step 2: 1758861034821927916746498526801
Found prime factor of 31 digits: 1758861034821927916746498526801
Prime cofactor 1367138704351370888883739137868360500127554174815480175328034319884920422666825396673199146061500688254748791010562787184268521040009557 has 136 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)

3×10218+2

c184

name 名前Dmitry Domanov
date 日付September 1, 2022 23:03:36 UTC 2022 年 9 月 2 日 (金) 8 時 3 分 36 秒 (日本時間)
composite number 合成数
3716611905525092055695916604522862737695754202014496042743994638623903533654236350391515240304328744019107436987614588790321598831077323674914926698091565956353782712350272081894375191<184>
prime factors 素因数
30387276282859540605123826002754563212758187<44>
composite cofactor 合成数の残り
122308161841458299354107497992592743657596477452891815778435587171300566827645250364687790566921601104578343746189478752013210838711685447493<141>
factorization results 素因数分解の結果
GPU: factor 30387276282859540605123826002754563212758187 found in Step 1 with curve 504 (-sigma 3:-1735730757)
Computing 1792 Step 1 took 320ms of CPU time / 178622ms of GPU time
Throughput: 10.032 curves per second (on average 99.68ms per Step 1)
********** Factor found in step 1: 30387276282859540605123826002754563212758187
Found prime factor of 44 digits: 30387276282859540605123826002754563212758187
Composite cofactor 122308161841458299354107497992592743657596477452891815778435587171300566827645250364687790566921601104578343746189478752013210838711685447493 has 141 digits
Peak memory usage: 9428MB

c141

name 名前Norman Powell
date 日付September 27, 2022 22:41:11 UTC 2022 年 9 月 28 日 (水) 7 時 41 分 11 秒 (日本時間)
composite number 合成数
122308161841458299354107497992592743657596477452891815778435587171300566827645250364687790566921601104578343746189478752013210838711685447493<141>
prime factors 素因数
44720522533724544273552467285328269531177684975534411706821<59>
2734944828724296130307323745831299845429926598847225203085477426394662066942914433<82>
factorization results 素因数分解の結果
New best polynomial is:
n: 122308......447493
skew: 110400.678
c0: 21159205568658831931318255427100
c1: -1346352010796573444944877825
c2: -8813912091150715222231
c3: 199332762537011633
c4: 805881966978
c5: -2342340
Y0: -1115251899886760476980305751
Y1: 4064713308948960289
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=8.389e+13) = 9.312e-07
# f(x) = -2342340*x^5+805881966978*x^4+199332762537011633*
   x^3-8813912091150715222231*x^2-1346352010796573444944877825*
        x+21159205568658831931318255427100
# g(x) = 4064713308948960289*x-1115251899886760476980305751
Factors: 
  2734944828724296130307323745831299845429926598847225203085477426394662066942914433 
        44720522533724544273552467285328269531177684975534411706821
Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 990128/141549, (39.32 hours).
software ソフトウェア
CADO-NFS v3.0.0
execution environment 実行環境
Ubuntu 20.04.4, Intel Xeon E5-1620.

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)
403e641421792Dmitry DomanovSeptember 1, 2022 23:03:27 UTC 2022 年 9 月 2 日 (金) 8 時 3 分 27 秒 (日本時間)
2350Ignacio SantosSeptember 3, 2022 07:34:09 UTC 2022 年 9 月 3 日 (土) 16 時 34 分 9 秒 (日本時間)
4511e64480Ignacio SantosSeptember 4, 2022 09:37:58 UTC 2022 年 9 月 4 日 (日) 18 時 37 分 58 秒 (日本時間)

3×10219+2

c190

name 名前Erik Branger
date 日付August 15, 2022 15:49:54 UTC 2022 年 8 月 16 日 (火) 0 時 49 分 54 秒 (日本時間)
composite number 合成数
1270502048428646119753343423324164378975447333352582205215203934100605698200066243922694787675339137103796568288747603184370215820208269613952245296195425625515409663340687394397847505510803<190>
prime factors 素因数
252990915135256162101934946389989667932965878421062057131604947183053<69>
5021927557159115662386753687191566095381431141043952301993920040755496101721269730462586744319709249587221701905380246751<121>
factorization results 素因数分解の結果
Number: 30002_219
N = 1270502048428646119753343423324164378975447333352582205215203934100605698200066243922694787675339137103796568288747603184370215820208269613952245296195425625515409663340687394397847505510803 (190 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=252990915135256162101934946389989667932965878421062057131604947183053 (pp69)
r2=5021927557159115662386753687191566095381431141043952301993920040755496101721269730462586744319709249587221701905380246751 (pp121)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 49.84 hours.
Factorization parameters were as follows:
n: 1270502048428646119753343423324164378975447333352582205215203934100605698200066243922694787675339137103796568288747603184370215820208269613952245296195425625515409663340687394397847505510803
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3
c0: 20
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: 31407850
Relations: 7155066 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.97 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 6241671 x 6241896
Matrix solve time: 30.24 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 49.84 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)

3×10220+2

c201

name 名前Erik Branger
date 日付August 15, 2022 15:50:15 UTC 2022 年 8 月 16 日 (火) 0 時 50 分 15 秒 (日本時間)
composite number 合成数
378368828879535061828200806676580502986866185107687212773011099344262451216218598508244100430386045718153731687140493182693468424677160906434905318708449987101645340089757565268075834872358531959918053<201>
prime factors 素因数
113166385014051758309873880122113381083790762280713<51>
3343473672261894535821305877427936492828555522621035473065137526889975189979739599118751976398317693873731305441588804249165109650897565693628981693181<151>
factorization results 素因数分解の結果
Number: 30002_220
N = 378368828879535061828200806676580502986866185107687212773011099344262451216218598508244100430386045718153731687140493182693468424677160906434905318708449987101645340089757565268075834872358531959918053 (201 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=113166385014051758309873880122113381083790762280713 (pp51)
r2=3343473672261894535821305877427936492828555522621035473065137526889975189979739599118751976398317693873731305441588804249165109650897565693628981693181 (pp151)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 35.85 hours.
Factorization parameters were as follows:
n: 378368828879535061828200806676580502986866185107687212773011099344262451216218598508244100430386045718153731687140493182693468424677160906434905318708449987101645340089757565268075834872358531959918053
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3
c0: 2
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: 31555997
Relations: 6467064 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.21 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 5898486 x 5898711
Matrix solve time: 18.00 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 35.85 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)

3×10221+2

c201

name 名前Erik Branger
date 日付August 15, 2022 15:54:36 UTC 2022 年 8 月 16 日 (火) 0 時 54 分 36 秒 (日本時間)
composite number 合成数
569060534968489983904564999150615446347672786616509998092101879282870590202960734033628501002381635397036747807924851159986488555710376742780697537050637451357278026880272907415519683410147451731816897<201>
prime factors 素因数
1143262711679562971222379327213140605224369831679759512268730105954779<70>
497751329729354403253859548943891549735686752658351124133708679665729750469178885170412715517982116409166599025528018651021466186643<132>
factorization results 素因数分解の結果
Number: 30002_221
N = 569060534968489983904564999150615446347672786616509998092101879282870590202960734033628501002381635397036747807924851159986488555710376742780697537050637451357278026880272907415519683410147451731816897 (201 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1143262711679562971222379327213140605224369831679759512268730105954779 (pp70)
r2=497751329729354403253859548943891549735686752658351124133708679665729750469178885170412715517982116409166599025528018651021466186643 (pp132)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 59.27 hours.
Factorization parameters were as follows:
n: 569060534968489983904564999150615446347672786616509998092101879282870590202960734033628501002381635397036747807924851159986488555710376742780697537050637451357278026880272907415519683410147451731816897
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 15
c0: 1
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: 30146273
Relations: 7498434 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.99 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 6487315 x 6487540
Matrix solve time: 39.71 hours.
time per square root: 0.17 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: 59.27 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)

3×10222+2

c191

name 名前Dmitry Domanov
date 日付September 1, 2022 23:02:56 UTC 2022 年 9 月 2 日 (金) 8 時 2 分 56 秒 (日本時間)
composite number 合成数
80573164439464305397710528200247042296526834359673013227975609735175479071631823538553593696765408817999232233959940424613709658722407124917542287401744969239026233512127320058330599079680781<191>
prime factors 素因数
4230332045848210873072066641581<31>
19046534306578014233521217917397121497210106115825172403380063828211579124271043969083625295929870396761498717940031158071002409278164814894082746628394903583201<161>
factorization results 素因数分解の結果
GPU: factor 4230332045848210873072066641581 found in Step 1 with curve 822 (-sigma 3:-1669211604)
GPU: factor 4230332045848210873072066641581 found in Step 1 with curve 1415 (-sigma 3:-1669211011)
Computing 1792 Step 1 took 329ms of CPU time / 175463ms of GPU time
Throughput: 10.213 curves per second (on average 97.91ms per Step 1)
********** Factor found in step 1: 4230332045848210873072066641581
Found prime factor of 31 digits: 4230332045848210873072066641581
Prime cofactor 19046534306578014233521217917397121497210106115825172403380063828211579124271043969083625295929870396761498717940031158071002409278164814894082746628394903583201 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)

3×10223+2

c170

name 名前Dmitry Domanov
date 日付September 3, 2022 21:32:25 UTC 2022 年 9 月 4 日 (日) 6 時 32 分 25 秒 (日本時間)
composite number 合成数
59524895842759961791597244596293617470285019127211762121874708478791019226526432957823758287415630939571134980669652650774095184553222287934731460416984655723192360218783<170>
prime factors 素因数
80377653819841621177387254203683759<35>
composite cofactor 合成数の残り
740565231926015076127754805968353648175675777609489445721439943386839495286763178024440477296634304399823926438944910437571805172088337<135>
factorization results 素因数分解の結果
Resuming ECM residue saved by @de9a5e078113 with GMP-ECM 7.0.5-dev on Thu Sep  1 21:56:25 2022 
Input number is 59524895842759961791597244596293617470285019127211762121874708478791019226526432957823758287415630939571134980669652650774095184553222287934731460416984655723192360218783 (170 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4225441806
Step 1 took 0ms
Step 2 took 5683ms
********** Factor found in step 2: 80377653819841621177387254203683759
Found prime factor of 35 digits: 80377653819841621177387254203683759
Composite cofactor 740565231926015076127754805968353648175675777609489445721439943386839495286763178024440477296634304399823926438944910437571805172088337 has 135 digits

c135

name 名前Norman Powell
date 日付September 9, 2022 14:26:14 UTC 2022 年 9 月 9 日 (金) 23 時 26 分 14 秒 (日本時間)
composite number 合成数
740565231926015076127754805968353648175675777609489445721439943386839495286763178024440477296634304399823926438944910437571805172088337<135>
prime factors 素因数
3070387116032382885840581405057216045881<40>
179355216685995541944674505492265793172593<42>
1344795263877423547407204152972421475637150771812043689<55>
factorization results 素因数分解の結果
Command line parameters: ./cado-nfs.py workdir=temp 7405....8337
Debug:root: Root parameter dictionary:
N = 7405....8337
name = c135
slaves.scriptpath = /home/levi/cado-nfs/build/1620E5
Square Root: Factors: 

3070387116032382885840581405057216045881
179355216685995541944674505492265793172593
1344795263877423547407204152972421475637150771812043689

Complete Factorization: Total cpu/elapsed time for entire Complete Factorization 611188/86613.4, (1.002 days).
software ソフトウェア
CADO-NFS
execution environment 実行環境
Ubuntu 20.04.4 LTS. Xeon E5-1620. 

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)
403e61792 / 2078Dmitry DomanovSeptember 3, 2022 21:30:55 UTC 2022 年 9 月 4 日 (日) 6 時 30 分 55 秒 (日本時間)

3×10224+2

c192

composite cofactor 合成数の残り
570067545754575822280734784817885275733475438722324478853597257584053173940872266754936143259639098211306148776770016189686097528763393804537114325878974477384115189845126390987418896885554069<192>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:47:06 UTC 2022 年 11 月 4 日 (金) 0 時 47 分 6 秒 (日本時間)

3×10225+2

c214

composite cofactor 合成数の残り
6765050052124118258733433514918915474788787333549197400185724843712000324162148116840965441489540686136417885901683798546264877021011509519162540937297149922039797495555133084984939641988484760306624953180367747463<214>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:47:11 UTC 2022 年 11 月 4 日 (金) 0 時 47 分 11 秒 (日本時間)

3×10227+2

c191

composite cofactor 合成数の残り
17862804889329111658514592622865896742791409561436335181251715004179056324539523455130192992951536853570854219973600526615983911282914468042198557841032465768608698857701568377706026841961671<191>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:47:15 UTC 2022 年 11 月 4 日 (金) 0 時 47 分 15 秒 (日本時間)

3×10228+2

c181

composite cofactor 合成数の残り
3664618222002885502009770795970932582783155361195935730730379674093055017114857494929825951392350112171013024425826661581812257205902175923637814414655187687744547656243735917440999<181>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:47:19 UTC 2022 年 11 月 4 日 (金) 0 時 47 分 19 秒 (日本時間)

3×10229+2

c208

composite cofactor 合成数の残り
1251906512739550370809634769445515844659584227521999091066716918991684697883143420735429122183024396804982799248073610092980376539951599852203727731095098703189887773246617017289184888778770553756121379302539<208>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:48:24 UTC 2022 年 11 月 4 日 (金) 0 時 48 分 24 秒 (日本時間)

3×10230+2

c190

composite cofactor 合成数の残り
6446249876363598605380362015672683013400031453464581275290018278663657563936432745946574468793490586780952213436103086535664217009663322322607130093544764278458861927521575089649451817864169<190>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:48:28 UTC 2022 年 11 月 4 日 (金) 0 時 48 分 28 秒 (日本時間)

3×10231+2

c199

composite cofactor 合成数の残り
1377299388312520646704176220394893500860035700093816594999433169933367190892961801325424410218715875833388513814896062496257579711446899245838012822564841544253866840517535470051564766913312348852879<199>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:48:34 UTC 2022 年 11 月 4 日 (金) 0 時 48 分 34 秒 (日本時間)

3×10232+2

c210

composite cofactor 合成数の残り
103593316165985136929757452851372834165746522183934066838365623976192640921276595675069387321586305409747158986852737907433573209616444764112932440742868226286083675754248257298151382566533291253937363351015059<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:48:38 UTC 2022 年 11 月 4 日 (金) 0 時 48 分 38 秒 (日本時間)

3×10233+2

c205

name 名前Eric Jeancolas
date 日付June 20, 2022 05:25:50 UTC 2022 年 6 月 20 日 (月) 14 時 25 分 50 秒 (日本時間)
composite number 合成数
1405587471097173658301636006197531603747945161653211211458191509234523956816045600333732774918740869209640851390600736141564271312694761339336117510473860696105257498510486726399653232140595965642470227557<205>
prime factors 素因数
199579229954410956298711<24>
70236519110777371328863395864799<32>
2657931453137403147483797791732699<34>
composite cofactor 合成数の残り
37725567214349245677265078953876653002013942116391431204223700346720397331621193761734824848302475246067068272985287<116>
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 1405587471097173658301636006197531603747945161653211211458191509234523956816045600333732774918740869209640851390600736141564271312694761339336117510473860696105257498510486726399653232140595965642470227557 (205 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2814835255
Step 1 took 4643ms
Step 2 took 2519ms
********** Factor found in step 2: 199579229954410956298711
Found prime factor of 24 digits: 199579229954410956298711
Composite cofactor 7042754255631941709761480080643712317083162583756303259612649699359594502567139484344239510134972025274225222121905537049624381654529845517626873140476042055443329739558590976522787 has 181 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:578422951
Step 1 took 3396ms
Step 2 took 1938ms
********** Factor found in step 2: 70236519110777371328863395864799
Found prime factor of 32 digits: 70236519110777371328863395864799
Composite cofactor 100271971686468064688290296393335134431449471145794446535334196055924138266667397452670296788530552123117938654375191132709848897132750682649063799613 has 150 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1901134542
Step 1 took 2285ms
Step 2 took 1428ms
********** Factor found in step 2: 2657931453137403147483797791732699
Found prime factor of 34 digits: 2657931453137403147483797791732699
Composite cofactor 37725567214349245677265078953876653002013942116391431204223700346720397331621193761734824848302475246067068272985287 has 116 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)

c116

name 名前Eric Jeancolas
date 日付June 21, 2022 14:57:59 UTC 2022 年 6 月 21 日 (火) 23 時 57 分 59 秒 (日本時間)
composite number 合成数
37725567214349245677265078953876653002013942116391431204223700346720397331621193761734824848302475246067068272985287<116>
prime factors 素因数
514264038189084633936411998873231815004147<42>
73358361489158428668723232935969921440656559666189008735465016358973030621<74>
factorization results 素因数分解の結果
37725567214349245677265078953876653002013942116391431204223700346720397331621193761734824848302475246067068272985287=514264038189084633936411998873231815004147*73358361489158428668723232935969921440656559666189008735465016358973030621

cado polynomial
n: 37725567214349245677265078953876653002013942116391431204223700346720397331621193761734824848302475246067068272985287
skew: 7551.53
c0: -1612309211693197883595590
c1: -1931134533941088018603
c2: 345964206300929172
c3: -48128815616623
c4: -5026245108
c5: -182880
Y0: -13094152650069881610912
Y1: 33405058580541677
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.808e-07
# f(x) = -182880*x^5-5026245108*x^4-48128815616623*x^3+345964206300929172*x^2-1931134533941088018603*x-1612309211693197883595590
# g(x) = 33405058580541677*x-13094152650069881610912

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.ncurves0 = 13
tasks.sieve.ncurves1 = 17
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 514264038189084633936411998873231815004147 73358361489158428668723232935969921440656559666189008735465016358973030621
Info:Square Root: Total cpu/real time for sqrt: 146.95/113.172
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): 22054/33.740/41.223/49.310/1.069
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17355/32.860/36.513/42.610/0.847
Info:Polynomial Selection (size optimized): Total time: 1785.25
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 144.23/239.688
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 188.3s
Info:Quadratic Characters: Total cpu/real time for characters: 16.87/14.2051
Info:Square Root: Total cpu/real time for sqrt: 146.95/113.172
Info:Linear Algebra: Total cpu/real time for bwc: 3274.44/3026.85
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1707.36, WCT time 1571.43, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (14592 iterations)
Info:Linear Algebra: Lingen CPU time 580.14, WCT time 528.13
Info:Linear Algebra: Mksol: CPU time 946.82,  WCT time 890.41, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7296 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 109.34/179.972
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7782450
Info:Lattice Sieving: Average J: 1891.33 for 208021 special-q, max bucket fill -bkmult 1.0,1s:1.250720
Info:Lattice Sieving: Total time: 46048s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.24/3.52284
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 32.8/58.5505
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.49999999999999s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 405.47
Info:Polynomial Selection (root optimized): Rootsieve time: 404.33
Info:Generate Free Relations: Total cpu/real time for freerel: 63.68/44.7147
Info:Filtering - Merging: Merged matrix has 464805 rows and total weight 72396343 (155.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 81.56/63.7131
Info:Filtering - Merging: Total cpu/real time for replay: 17.13/18.6165
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 47239.1/27689.1
Info:root: Cleaning up computation data in /tmp/cado.08zlwm9c
514264038189084633936411998873231815004147 73358361489158428668723232935969921440656559666189008735465016358973030621
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)

3×10234+2

c211

composite cofactor 合成数の残り
2736609114692393318476188532062384850189702096770711720217895524385185440883731508935931791604224740415241750393831697329679016658310660250786649223834527413704614068689166762782066457510869098370580057663729227<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:48:43 UTC 2022 年 11 月 4 日 (金) 0 時 48 分 43 秒 (日本時間)

3×10237+2

c213

composite cofactor 合成数の残り
182167995241147168308386117597505511571520900729399785056418750232863604085288759104368357244261494730787696011877536835367188356174478208438823312024910781518268425314565248522352525705272320960753268749789598437<213>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:48:51 UTC 2022 年 11 月 4 日 (金) 0 時 48 分 51 秒 (日本時間)

3×10239+2

c224

name 名前Dmitry Domanov
date 日付September 3, 2022 11:13:26 UTC 2022 年 9 月 3 日 (土) 20 時 13 分 26 秒 (日本時間)
composite number 合成数
13364972268747260928638841874805014557782946425885335292198486813407770791304998839430733253677416150502450607187167606443689355291338109272120129111003511223135598530815369782716880181066683030581450610558883221955294404659<224>
prime factors 素因数
19499039870016211101859652874305821<35>
composite cofactor 合成数の残り
685416941441237720018303969997109581154837610554094618686166996357150332166864024699294005886327264718330726740087847611917729275189123030636167583566148368755137965340138410415346644628879<189>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f3e7a26f2811 with GMP-ECM 7.0.5-dev on Fri Sep  2 05:19:12 2022 
Input number is 13364972268747260928638841874805014557782946425885335292198486813407770791304998839430733253677416150502450607187167606443689355291338109272120129111003511223135598530815369782716880181066683030581450610558883221955294404659 (224 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3065593445
Step 1 took 0ms
Step 2 took 6367ms
********** Factor found in step 2: 19499039870016211101859652874305821
Found prime factor of 35 digits: 19499039870016211101859652874305821
Composite cofactor 685416941441237720018303969997109581154837610554094618686166996357150332166864024699294005886327264718330726740087847611917729275189123030636167583566148368755137965340138410415346644628879 has 189 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)
403e61792 / 2078Dmitry DomanovSeptember 3, 2022 11:13:21 UTC 2022 年 9 月 3 日 (土) 20 時 13 分 21 秒 (日本時間)

3×10240+2

c186

composite cofactor 合成数の残り
422208582453947531883267708643712029660371874551433312171519975474554673244938323412962325147483799387959295048241721486148569940992220980768056839152196706438107728886295646778101995293<186>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:48:56 UTC 2022 年 11 月 4 日 (金) 0 時 48 分 56 秒 (日本時間)

3×10241+2

c211

name 名前Eric Jeancolas
date 日付June 20, 2022 13:37:08 UTC 2022 年 6 月 20 日 (月) 22 時 37 分 8 秒 (日本時間)
composite number 合成数
6642541865689741847903205792333347689248142192871832231315468102473354067507787970492865342667251403074078746637331630534346056083964347262973254963258451216839868456586929478579238709117951091004047119951773549<211>
prime factors 素因数
351618440347147423248733612099<30>
composite cofactor 合成数の残り
18891335332503219869518091260517386342387184164062362747534388116399209089623775514685860897638590948770059133040836415738893759532574851340409541419044821769355095195626938963793551<182>
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 6642541865689741847903205792333347689248142192871832231315468102473354067507787970492865342667251403074078746637331630534346056083964347262973254963258451216839868456586929478579238709117951091004047119951773549 (211 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1936556941
Step 1 took 4007ms
Step 2 took 2300ms
********** Factor found in step 2: 351618440347147423248733612099
Found prime factor of 30 digits: 351618440347147423248733612099
Composite cofactor 18891335332503219869518091260517386342387184164062362747534388116399209089623775514685860897638590948770059133040836415738893759532574851340409541419044821769355095195626938963793551 has 182 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)

c182

name 名前Dmitry Domanov
date 日付September 2, 2022 21:03:11 UTC 2022 年 9 月 3 日 (土) 6 時 3 分 11 秒 (日本時間)
composite number 合成数
18891335332503219869518091260517386342387184164062362747534388116399209089623775514685860897638590948770059133040836415738893759532574851340409541419044821769355095195626938963793551<182>
prime factors 素因数
2363248692755779417197074941830502478350073<43>
7993799125082376656435633840842393541715947500595925125272547571051198409242356876630954374276805101422861295488024606983269706768841196487<139>
factorization results 素因数分解の結果
Resuming ECM residue saved by @de9a5e078113 with GMP-ECM 7.0.5-dev on Thu Sep  1 17:53:03 2022 
Input number is 18891335332503219869518091260517386342387184164062362747534388116399209089623775514685860897638590948770059133040836415738893759532574851340409541419044821769355095195626938963793551 (182 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4155637497
Step 1 took 0ms
Step 2 took 4361ms
********** Factor found in step 2: 2363248692755779417197074941830502478350073
Found prime factor of 43 digits: 2363248692755779417197074941830502478350073
Prime cofactor 7993799125082376656435633840842393541715947500595925125272547571051198409242356876630954374276805101422861295488024606983269706768841196487 has 139 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)

3×10242+2

c223

name 名前Dmitry Domanov
date 日付September 1, 2022 23:05:05 UTC 2022 年 9 月 2 日 (金) 8 時 5 分 5 秒 (日本時間)
composite number 合成数
4275757259503194816102603598846403044333444030169911290950776064084486290098104070575856986315291034993118272957482924100165511102494738122699515029455178529770817942244026218852844481192602422765633609403856725963677486707<223>
prime factors 素因数
4952934739520064794237004099959651291<37>
composite cofactor 合成数の残り
863277528247325967039201185232830534082979216551374139723197157115011145733371826713168771652546794271792114838602900767360174259233422209063967568632365489393787944683939410704288450377<186>
factorization results 素因数分解の結果
GPU: factor 4952934739520064794237004099959651291 found in Step 1 with curve 451 (-sigma 3:-586602891)
Computing 1792 Step 1 took 288ms of CPU time / 175451ms of GPU time
Throughput: 10.214 curves per second (on average 97.91ms per Step 1)
********** Factor found in step 1: 4952934739520064794237004099959651291
Found prime factor of 37 digits: 4952934739520064794237004099959651291
Composite cofactor 863277528247325967039201185232830534082979216551374139723197157115011145733371826713168771652546794271792114838602900767360174259233422209063967568632365489393787944683939410704288450377 has 186 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)
403e61792 / 2078Dmitry DomanovSeptember 1, 2022 23:04:59 UTC 2022 年 9 月 2 日 (金) 8 時 4 分 59 秒 (日本時間)

3×10244+2

c183

composite cofactor 合成数の残り
531383844765787256363885183817733384862151728814278501393608385640755542473859969896625980099442317327952250854053287235036239544673142937987330308384553298165026943664805174211993973<183>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:49:00 UTC 2022 年 11 月 4 日 (金) 0 時 49 分 0 秒 (日本時間)

3×10245+2

c242

composite cofactor 合成数の残り
14852955738191900188137439350430735716407565105455985741162491335775819388058223586493712248737498762253688484008317655213387464105356966036241212001188236459055352015050995148034458857312605208436478859292999306862065551044657886919496979899<242>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:49:06 UTC 2022 年 11 月 4 日 (金) 0 時 49 分 6 秒 (日本時間)

3×10246+2

c244

composite cofactor 合成数の残り
1632208922742110990206746463547334058759521218715995647442872687704026115342763873775843307943416757344940152339499455930359085963003264417845484221980413492927094668117519042437431991294885745375408052230685527747551686615886833514689880304679<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:49:10 UTC 2022 年 11 月 4 日 (金) 0 時 49 分 10 秒 (日本時間)

3×10247+2

c243

composite cofactor 合成数の残り
266009328060437319335331358952987284754118711096135771161042047207788753125609604710138502190143467697600595860894855379595311142244054691517849225912855344127400734185745446807001365514550710244905921367642625334728404476050293496958626682509<243>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:49:14 UTC 2022 年 11 月 4 日 (金) 0 時 49 分 14 秒 (日本時間)

3×10248+2

c246

composite cofactor 合成数の残り
338600451467268623024830699774266365688487584650112866817155756207674943566591422121896162528216704288939051918735891647855530474040632054176072234762979683972911963882618510158013544018058690744920993227990970654627539503386004514672686230248307<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:49:18 UTC 2022 年 11 月 4 日 (金) 0 時 49 分 18 秒 (日本時間)

3×10249+2

c233

composite cofactor 合成数の残り
77679495220714862097342592861359758479957519195247854706833208811536759632431600846570297228561602950400843279993653238001826253386312765498399310748310901998312425920784339307092237279164874920638570520072721339665063279148758312183<233>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:49:23 UTC 2022 年 11 月 4 日 (金) 0 時 49 分 23 秒 (日本時間)

3×10250+2

c203

name 名前Eric Jeancolas
date 日付June 20, 2022 17:10:16 UTC 2022 年 6 月 21 日 (火) 2 時 10 分 16 秒 (日本時間)
composite number 合成数
12998538314168229334892827771719834540493735257320055353350753066714693305078240803941945703883483146775135991639168312720812227750742681542422860794100671539519322929550113114466429810882589529280938609<203>
prime factors 素因数
27827720778940534173692769642313<32>
composite cofactor 合成数の残り
467107544215596151141183956063781649618874889813210945710647576313940620471514366402237660636274308324210973668714590411759084807156039844897456581977325158471470620719593<171>
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 12998538314168229334892827771719834540493735257320055353350753066714693305078240803941945703883483146775135991639168312720812227750742681542422860794100671539519322929550113114466429810882589529280938609 (203 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1812886350
Step 1 took 3655ms
Step 2 took 2202ms
********** Factor found in step 2: 27827720778940534173692769642313
Found prime factor of 32 digits: 27827720778940534173692769642313
Composite cofactor 467107544215596151141183956063781649618874889813210945710647576313940620471514366402237660636274308324210973668714590411759084807156039844897456581977325158471470620719593 has 171 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 18:39:14 UTC 2022 年 6 月 22 日 (水) 3 時 39 分 14 秒 (日本時間)
4511e64480Ignacio SantosJune 22, 2022 21:12:42 UTC 2022 年 6 月 23 日 (木) 6 時 12 分 42 秒 (日本時間)

3×10251+2

c201

composite cofactor 合成数の残り
835393236687550954469459652748760738413794971852415765616446706403989888029092208920578489562602908306201688442917050979659124031567212754331509828538644350065405445828690596194987217175980390684585893<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:49:29 UTC 2022 年 11 月 4 日 (金) 0 時 49 分 29 秒 (日本時間)

3×10252+2

c226

name 名前Eric Jeancolas
date 日付June 20, 2022 21:25:46 UTC 2022 年 6 月 21 日 (火) 6 時 25 分 46 秒 (日本時間)
composite number 合成数
3338100684191522957619702092199342344913374445195654818203143744406722911284590848471565070721792340170545518915509894105946971842573238356307066620523490355482973253650969223875534278744098244139145334194883422744913268267211<226>
prime factors 素因数
24849564258170417276169163159<29>
134332362914330439372426052722903555229125550082725509699002072599179853176293713999447971464450993384411195846345135176104914543796675247876635256662778619913497801034416035510711349269370688008429<198>
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 3338100684191522957619702092199342344913374445195654818203143744406722911284590848471565070721792340170545518915509894105946971842573238356307066620523490355482973253650969223875534278744098244139145334194883422744913268267211 (226 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3806794207
Step 1 took 5297ms
Step 2 took 2756ms
********** Factor found in step 2: 24849564258170417276169163159
Found prime factor of 29 digits: 24849564258170417276169163159
Prime cofactor 134332362914330439372426052722903555229125550082725509699002072599179853176293713999447971464450993384411195846345135176104914543796675247876635256662778619913497801034416035510711349269370688008429 has 198 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)

3×10253+2

c224

name 名前Eric Jeancolas
date 日付June 20, 2022 21:30:00 UTC 2022 年 6 月 21 日 (火) 6 時 30 分 0 秒 (日本時間)
composite number 合成数
18083459822956383561037047425844830450486548738616804345995649673456983373373790715687016196667461546541571956518726938618049099955250017415027009258100840242807493037130674077479670301043026915429091706975451786356657695403<224>
prime factors 素因数
1342693356208484279822848793<28>
13468048932647363959023846083068974855146647646777617909643847583081468250643176017604222797433426034984505872943319565204148579464816947656745524890803361250991821450103387226291258125971394332771<197>
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=1:4095023082
Step 1 took 4639ms
Step 2 took 2430ms
********** Factor found in step 2: 1342693356208484279822848793
Found prime factor of 28 digits: 1342693356208484279822848793
Prime cofactor 13468048932647363959023846083068974855146647646777617909643847583081468250643176017604222797433426034984505872943319565204148579464816947656745524890803361250991821450103387226291258125971394332771 has 197 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)

3×10255+2

c220

composite cofactor 合成数の残り
2702540852640983834382033223312945212906021228879822301278932882160826984463849072967143806788123911772201377928886265091918873483219557400431581732189926785099240262314526106425685029682525697006088623671155169202803111<220>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:49:34 UTC 2022 年 11 月 4 日 (金) 0 時 49 分 34 秒 (日本時間)

3×10256+2

c222

composite cofactor 合成数の残り
325474888303401035243064023770843579776110571460408246657217852771718811746258266706828453629766156091446764487566167116375429630577825150903936568138650029118391395434623084882212288682651115584273216519847592007649254167<222>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:49:38 UTC 2022 年 11 月 4 日 (金) 0 時 49 分 38 秒 (日本時間)

3×10257+2

c258

name 名前Dmitry Domanov
date 日付September 3, 2022 10:56:46 UTC 2022 年 9 月 3 日 (土) 19 時 56 分 46 秒 (日本時間)
composite number 合成数
150000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<258>
prime factors 素因数
1702150419051387911830166601074722962263<40>
composite cofactor 合成数の残り
88123821679399710456142527100803619437611928486168729416087971906291749592170368694004681247620130238208554220551749466762862977481215978266509526176716983275972093495468672087170426115523695462222561023428509568180327<218>
factorization results 素因数分解の結果
Resuming ECM residue saved by @de9a5e078113 with GMP-ECM 7.0.5-dev on Thu Sep  1 21:11:53 2022 
Input number is 150000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (258 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:778241466
Step 1 took 0ms
Step 2 took 9149ms
********** Factor found in step 2: 1702150419051387911830166601074722962263
Found prime factor of 40 digits: 1702150419051387911830166601074722962263
Composite cofactor 88123821679399710456142527100803619437611928486168729416087971906291749592170368694004681247620130238208554220551749466762862977481215978266509526176716983275972093495468672087170426115523695462222561023428509568180327 has 218 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)
403e61792 / 2078Dmitry DomanovSeptember 3, 2022 10:56:39 UTC 2022 年 9 月 3 日 (土) 19 時 56 分 39 秒 (日本時間)

3×10258+2

c254

composite cofactor 合成数の残り
10267010725603871347510934366422768122985099145100240248050979130589531755864174292774077851319995345621804392911655795043087221678450913421720887891087550222794132745604008240987275751374068268776651448675213382706247133792839102252582153197489373643899<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:49:42 UTC 2022 年 11 月 4 日 (金) 0 時 49 分 42 秒 (日本時間)

3×10260+2

c236

composite cofactor 合成数の残り
28954910342629255382739504080597186274074840545667966975270605504660063957920346567072850692778597289201831361773333374808535117119280137800362139070613885577001187979614144484148769960059385336938280065718937170508648232274652246213023<236>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:49:47 UTC 2022 年 11 月 4 日 (金) 0 時 49 分 47 秒 (日本時間)

3×10261+2

c228

composite cofactor 合成数の残り
341996400444601543890266523480072198512171860184425903117864663729175847257049504167987804085795088106462210958268596597607354303246906352585535226498931442125680074107452697221489493485376206753409958948171009981998931565608803<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:49:52 UTC 2022 年 11 月 4 日 (金) 0 時 49 分 52 秒 (日本時間)

3×10262+2

c230

name 名前Eric Jeancolas
date 日付June 21, 2022 09:38:51 UTC 2022 年 6 月 21 日 (火) 18 時 38 分 51 秒 (日本時間)
composite number 合成数
97982811557453639937602977268654966521333047323784309399534062679402371642169523196100239716264011218403237959053388765140875490031054245015799367443136634336403412337128739195742080903704805398570676241117197234442290492926211303<230>
prime factors 素因数
43818385218988895630503999316335423<35>
2236111875592173691372192504752744644165101878738216404185373784226951537746406582033742629289409446975614331790803214774088315193827677566918969570543859261873145897957534799648868829254469993561<196>
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 97982811557453639937602977268654966521333047323784309399534062679402371642169523196100239716264011218403237959053388765140875490031054245015799367443136634336403412337128739195742080903704805398570676241117197234442290492926211303 (230 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:949815368
Step 1 took 4542ms
Step 2 took 2380ms
********** Factor found in step 2: 43818385218988895630503999316335423
Found prime factor of 35 digits: 43818385218988895630503999316335423
Prime cofactor 2236111875592173691372192504752744644165101878738216404185373784226951537746406582033742629289409446975614331790803214774088315193827677566918969570543859261873145897957534799648868829254469993561 has 196 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)

3×10263+2

c259

composite cofactor 合成数の残り
4856097639936546990838162452653048010618666839327916086632781896467998316552818155330376509437016413610022985528829032989089967302275891093916928356372818802810061834309948525365016672601897115478001877691087442131503124089481692511897439217844540127553498009<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:49:56 UTC 2022 年 11 月 4 日 (金) 0 時 49 分 56 秒 (日本時間)

3×10264+2

c243

name 名前Eric Jeancolas
date 日付June 21, 2022 09:42:44 UTC 2022 年 6 月 21 日 (火) 18 時 42 分 44 秒 (日本時間)
composite number 合成数
157804003298475505463407683839554022808862416953413608410919610057786452069463815757705331617152004505944944440973908559770040444407058831322256543175683428468933658378273095723697510577753286794603328123797187482360236795517029676493814391889<243>
prime factors 素因数
4154699340626434657641325883<28>
composite cofactor 合成数の残り
37982051253480650705742341345998763929841908299046509278133840775299117385093338922274827687116436815927547669433371449166994125541366099493429002087419372928333151544302736433328446684581756489985610272710542349283<215>
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 157804003298475505463407683839554022808862416953413608410919610057786452069463815757705331617152004505944944440973908559770040444407058831322256543175683428468933658378273095723697510577753286794603328123797187482360236795517029676493814391889 (243 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2504960820
Step 1 took 4713ms
Step 2 took 2366ms
********** Factor found in step 2: 4154699340626434657641325883
Found prime factor of 28 digits: 4154699340626434657641325883
Composite cofactor 37982051253480650705742341345998763929841908299046509278133840775299117385093338922274827687116436815927547669433371449166994125541366099493429002087419372928333151544302736433328446684581756489985610272710542349283 has 215 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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:50:01 UTC 2022 年 11 月 4 日 (金) 0 時 50 分 1 秒 (日本時間)

3×10265+2

c239

name 名前Dmitry Domanov
date 日付September 3, 2022 11:17:55 UTC 2022 年 9 月 3 日 (土) 20 時 17 分 55 秒 (日本時間)
composite number 合成数
19443906897476930849891619506559750588251672254484969165438569714331520798760361727025781500769489537898014470156680044420874976292593069274768140344758525477218704485371687491544295625885857656922997667164191615088821944380340786968854687<239>
prime factors 素因数
1292784002362290058808400108287100488419<40>
composite cofactor 合成数の残り
15040336871393281922942916261720270457337455107058633252666895147250122108067259004968779867138081399911299740946462272291541851968766114708101963452048377257595158324670111691078717281223063899517973<200>
factorization results 素因数分解の結果
Resuming ECM residue saved by @de9a5e078113 with GMP-ECM 7.0.5-dev on Thu Sep  1 17:32:20 2022 
Input number is 19443906897476930849891619506559750588251672254484969165438569714331520798760361727025781500769489537898014470156680044420874976292593069274768140344758525477218704485371687491544295625885857656922997667164191615088821944380340786968854687 (239 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2937368604
Step 1 took 1ms
Step 2 took 6044ms
********** Factor found in step 2: 1292784002362290058808400108287100488419
Found prime factor of 40 digits: 1292784002362290058808400108287100488419
Composite cofactor 15040336871393281922942916261720270457337455107058633252666895147250122108067259004968779867138081399911299740946462272291541851968766114708101963452048377257595158324670111691078717281223063899517973 has 200 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)
403e61792 / 2078Dmitry DomanovSeptember 3, 2022 11:17:49 UTC 2022 年 9 月 3 日 (土) 20 時 17 分 49 秒 (日本時間)

3×10266+2

c214

composite cofactor 合成数の残り
6693316851602935762638016718704734013684093354686377826357707926116556770268475584061660897649348422854415776846962604715426054985549707550663333230917870498918413527686142423226227417421149821737580561262677518893<214>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:50:06 UTC 2022 年 11 月 4 日 (金) 0 時 50 分 6 秒 (日本時間)

3×10269+2

c262

composite cofactor 合成数の残り
5080476956531473029763093633833835956208591784252330084548958812133005396448753381353775727492970567408327111724802620930000274007057188930778738556183318104885904850050230675669226673845267706757715136099034346970902787545935555775559024354688824681444780617723<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:50:53 UTC 2022 年 11 月 4 日 (金) 0 時 50 分 53 秒 (日本時間)

3×10270+2

c240

composite cofactor 合成数の残り
227732129263176751570288707844042525288129877930220589810481365421643372627104290836287311078367716541091900453332243356451091462040321917057633789747825477056851477817166460626377526115967953674858116366339345106032405033167429430914441033<240>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:50:58 UTC 2022 年 11 月 4 日 (金) 0 時 50 分 58 秒 (日本時間)

3×10271+2

c256

composite cofactor 合成数の残り
1240439704472490629031451429652382454895014074159156880259546298325845268977075059690703524418664428632326645851862724222958643088830578213193714188749252216673592804683680542682985239201564259333606900757409912678163875890208389500438668571278796949413499<256>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:02 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 2 秒 (日本時間)

3×10272+2

c255

composite cofactor 合成数の残り
482452243668502755557813267711283084324314060242343554974197027623903122139683252827551234715918541929587590721206931571063019524511596682395480222382907394243140637945495535797974189904417324704758330870056708409428199522840083775684874626898818043124531<255>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:07 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 7 秒 (日本時間)

3×10273+2

c267

composite cofactor 合成数の残り
138587064227990133709723480926400937365945887664467043580365391262233426627065259077891565970075726743635458368861667104447804000195500151937618081953183257093509588977560998865341509477368778607257287161913392139212369061786825193021753272340858395341035509609118881<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:11 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 11 秒 (日本時間)

3×10274+2

c236

composite cofactor 合成数の残り
37880658909458816060702854681850722713186215790528185519528953157929631069798048840744277959504076548766956928031783783394712130955255274767709842383651423650440690282850371053971844929176772072276300701498197712134813995466345001222741<236>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:17 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 17 秒 (日本時間)

3×10275+2

c260

composite cofactor 合成数の残り
50270632485226415148386313330999987266429632683833823323914914588541936904893641299481640531165746429512160811060378476019337009421461723062093747092226099926344863951628237022838590117528746727149365340317410572145892472093462240638086312477169239377584390493<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:20 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 20 秒 (日本時間)

3×10276+2

c250

composite cofactor 合成数の残り
3782633720244240498657044885805671367859499414281480343690847520735469400662070770486985400901005286191729027252287711526155754776252560311366640657835691703390173004239706789907801482182192636083007382889950212787616602601350139326757192520724331509<250>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:24 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 24 秒 (日本時間)

3×10277+2

c232

composite cofactor 合成数の残り
4134766452090670245588584555299395451627360500208074791150581794884252719308221185757074636632663985770833796332028553963087242617624386251852156925920118378949877078928046679738916250252932038160019091789892174123319497360523448803<232>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:28 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 28 秒 (日本時間)

3×10278+2

c277

composite cofactor 合成数の残り
5172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862069<277>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:32 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 32 秒 (日本時間)

3×10279+2

c216

composite cofactor 合成数の残り
333772541654346049087721990183130588976162089267756319054331499489439749021401491919183504385130089381922734175037743982322112744069525030333902644280501733980575548473030916276578119907681832234030339275404975398609<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:37 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 37 秒 (日本時間)

3×10280+2

c269

composite cofactor 合成数の残り
22407605143733677298952075000994848259612433339315027940718794069086379594850074050931305171726512918544336643448067646096753516622383156706795400497536212796529659802921177298232510780816700547349834830845580875981989803477625760103741776387768806986889915583805106121<269>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:41 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 41 秒 (日本時間)

3×10282+2

c261

composite cofactor 合成数の残り
162847400371710472284852031304414182530561941415390116547579897373717730934849764144642191751960548980842426573009616662295921428949484065231540684657878287476030612506782865729314639347193947974413353559073807875939294408478947058168030983110175130248730162069<261>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:46 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 46 秒 (日本時間)

3×10283+2

c254

composite cofactor 合成数の残り
86929784118706466165598373041377912185444901417639519022664755626807881972459702297669142686959581648010026956762491070281574300991553053117116865638634594774324132459420738593674240463589830420595046258061569715072462971818899529668948378099889497803197<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:50 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 50 秒 (日本時間)

3×10284+2

c257

composite cofactor 合成数の残り
15427715393766632156675945858217835583431664263204090539075357833072960017166559578927122689038212939341361520898091316127581407040160811319327542988842561675376260215248655376600518640877559044603484341931655898806062466238389190686768179947837684717457917<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:54 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 54 秒 (日本時間)

3×10287+2

c263

composite cofactor 合成数の残り
11686096448360423341825582303103722157256350086259075643293893353250809811784224025563651869500645805785806402940288973552878586434596196722252886100529097852100859070171777596668520688993492300085022734466735376833882788522260177929402211182306561117215067919701<263>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:51:58 UTC 2022 年 11 月 4 日 (金) 0 時 51 分 58 秒 (日本時間)

3×10288+2

c244

composite cofactor 合成数の残り
1553300283519432363246580484268636738558106085206502541653404549203063814217637293014823880985000339670514429946459524512484758979940083531930377961050772182766178111541901379499776722270743245417601590583732489409346426926148026343398409743889<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:52:02 UTC 2022 年 11 月 4 日 (金) 0 時 52 分 2 秒 (日本時間)

3×10290+2

c260

composite cofactor 合成数の残り
11354639449260954484536388334824748431660822721809972063275082072715356928937822153727572879007257329059531314953529769478074025125568409354965302809995162512256750790480659679737655411365228395221566894198691353466168351209332067902657364348351072327695840667<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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:52:06 UTC 2022 年 11 月 4 日 (金) 0 時 52 分 6 秒 (日本時間)

3×10291+2

c249

composite cofactor 合成数の残り
179959052980218715517312505481087339147718763215637309877678130689607877018466442405655775303937347360891750454348886155204348049280606492713469230272636280628031447540709462154434907650908300070150586604808722455763579140823747175153092248014474113<249>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:52:10 UTC 2022 年 11 月 4 日 (金) 0 時 52 分 10 秒 (日本時間)

3×10292+2

c287

composite cofactor 合成数の残り
24399726072408627092479841759643178405917096237399574794106978158991868384624268618210979551402902916743254695727282635040283947745546643329684218745170887548169125887946697985070620940495574703014667488666327239366192715543113502645743630451508797727897508137308645148277135342027226841<287>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:52:15 UTC 2022 年 11 月 4 日 (金) 0 時 52 分 15 秒 (日本時間)

3×10293+2

c264

name 名前Eric Jeancolas
date 日付June 23, 2022 03:27:56 UTC 2022 年 6 月 23 日 (木) 12 時 27 分 56 秒 (日本時間)
composite number 合成数
767699130794473306333926350548403373223988635087488497589954029942692048001083093306359110491361703501200829492286121077061911193481813367306525452100150191249256970478701924540851475795850126518705185499293703812924722923984252932799705644745181003808247166472793<264>
prime factors 素因数
3964975867790129795231479<25>
1138635480036272454177639743<28>
composite cofactor 合成数の残り
170045752415399189631286933688266138289676866587653066652505718231333036486267160212437023737916318355438902906189083734618405251895288017780194375027061597998861385656343563717533851140694345369836425909393226769<213>
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 767699130794473306333926350548403373223988635087488497589954029942692048001083093306359110491361703501200829492286121077061911193481813367306525452100150191249256970478701924540851475795850126518705185499293703812924722923984252932799705644745181003808247166472793 (264 digits)

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2347200344
Step 1 took 5694ms
********** Factor found in step 1: 3964975867790129795231479
Found prime factor of 25 digits: 3964975867790129795231479
Composite cofactor 193620126929637192440021260512718358290731357532439893360893282642866568421994296393997994842940114891385601835147369732568979700349788437939224116160450804595681573148708900695707773573590126060899997417747098370243020756473275215185880367 has 240 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3265753840
Step 1 took 4649ms
Step 2 took 2341ms
********** Factor found in step 2: 1138635480036272454177639743
Found prime factor of 28 digits: 1138635480036272454177639743
Composite cofactor 170045752415399189631286933688266138289676866587653066652505718231333036486267160212437023737916318355438902906189083734618405251895288017780194375027061597998861385656343563717533851140694345369836425909393226769 has 213 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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:52:19 UTC 2022 年 11 月 4 日 (金) 0 時 52 分 19 秒 (日本時間)

3×10294+2

c289

name 名前Dmitry Domanov
date 日付September 3, 2022 11:12:52 UTC 2022 年 9 月 3 日 (土) 20 時 12 分 52 秒 (日本時間)
composite number 合成数
5113223819441840487869728692344140415943713632195584219909530026554675702301291600336791008907235893467686129869067382063492604573949147284707711082401306258245073408849967786689937516404926420709238231915379554604117167819414569960832705543075501862917878216643884413871153577381824875493<289>
prime factors 素因数
3060614990146096692310040475034702139<37>
composite cofactor 合成数の残り
1670652413290886906454099087363649417244947297237156627584601076128432654744712426815313982622919300699046576928991447758418994165392771559664406442326859947577116854391037537931732691299737382642363636095067384628967419137693452704859488585364871054687<253>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f3e7a26f2811 with GMP-ECM 7.0.5-dev on Fri Sep  2 05:02:58 2022 
Input number is 5113223819441840487869728692344140415943713632195584219909530026554675702301291600336791008907235893467686129869067382063492604573949147284707711082401306258245073408849967786689937516404926420709238231915379554604117167819414569960832705543075501862917878216643884413871153577381824875493 (289 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1991446615
Step 1 took 0ms
Step 2 took 5462ms
********** Factor found in step 2: 3060614990146096692310040475034702139
Found prime factor of 37 digits: 3060614990146096692310040475034702139
Composite cofactor 1670652413290886906454099087363649417244947297237156627584601076128432654744712426815313982622919300699046576928991447758418994165392771559664406442326859947577116854391037537931732691299737382642363636095067384628967419137693452704859488585364871054687 has 253 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)
403e61792 / 2078Dmitry DomanovSeptember 3, 2022 11:12:45 UTC 2022 年 9 月 3 日 (土) 20 時 12 分 45 秒 (日本時間)

3×10295+2

c234

name 名前Eric Jeancolas
date 日付June 23, 2022 06:33:51 UTC 2022 年 6 月 23 日 (木) 15 時 33 分 51 秒 (日本時間)
composite number 合成数
142252181572575205485967305609050630963526006720355213363480023581198984027242597684219771079866462144590152789569662260190528402380563970535824870916896668063963453511134586048369424741476223157656920897228613349896714566286030358427<234>
prime factors 素因数
1306034344994192858689226485151147<34>
composite cofactor 合成数の残り
108919173617296959000427835998690500654586951086754083977050865640983079882509138093051831405043768232346122636191893082394841017617309948786412175873198376565201019970506224853862325393670472990156241<201>
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 142252181572575205485967305609050630963526006720355213363480023581198984027242597684219771079866462144590152789569662260190528402380563970535824870916896668063963453511134586048369424741476223157656920897228613349896714566286030358427 (234 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3805320275
Step 1 took 4555ms
Step 2 took 2526ms
********** Factor found in step 2: 1306034344994192858689226485151147
Found prime factor of 34 digits: 1306034344994192858689226485151147
Composite cofactor 108919173617296959000427835998690500654586951086754083977050865640983079882509138093051831405043768232346122636191893082394841017617309948786412175873198376565201019970506224853862325393670472990156241 has 201 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 24, 2022 16:31:20 UTC 2022 年 6 月 25 日 (土) 1 時 31 分 20 秒 (日本時間)
4511e64480Ignacio SantosJune 25, 2022 12:08:44 UTC 2022 年 6 月 25 日 (土) 21 時 8 分 44 秒 (日本時間)

3×10296+2

c283

composite cofactor 合成数の残り
7843088428948531142877785694938400357857498392995741284636899421554452198584464280991740688000776198745618323607982437635323148863716253497488486983042077469671887275337925706089714530250773055331030310006280282949067324817879696558311892272868472902298871725675555004614211733227713<283>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:52:27 UTC 2022 年 11 月 4 日 (金) 0 時 52 分 27 秒 (日本時間)

3×10298+2

c279

name 名前Dmitry Domanov
date 日付September 2, 2022 21:05:26 UTC 2022 年 9 月 3 日 (土) 6 時 5 分 26 秒 (日本時間)
composite number 合成数
980966832671122599780597910190177891519216862630384513467947887418793315687098585765529139606572420817371766107765913919474803977848337583099214421428500834806649712551097333479298183567843291560380685153034011068791220579336012386093208658155420207742945328750695183730218714899<279>
prime factors 素因数
5044399672536230818882468998945138529<37>
composite cofactor 合成数の残り
194466516602938130620309647615351646612903892198999880341533960452757555131386119394874120579005915324356396549851199355451826343508398462237252355017148097653978405533656318449749580500312254855561844745562190665638616898697235423850466764531<243>
factorization results 素因数分解の結果
Resuming ECM residue saved by @de9a5e078113 with GMP-ECM 7.0.5-dev on Thu Sep  1 22:17:15 2022 
Input number is 980966832671122599780597910190177891519216862630384513467947887418793315687098585765529139606572420817371766107765913919474803977848337583099214421428500834806649712551097333479298183567843291560380685153034011068791220579336012386093208658155420207742945328750695183730218714899 (279 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2734127986
Step 1 took 1ms
Step 2 took 10372ms
********** Factor found in step 2: 5044399672536230818882468998945138529
Found prime factor of 37 digits: 5044399672536230818882468998945138529
Composite cofactor 194466516602938130620309647615351646612903892198999880341533960452757555131386119394874120579005915324356396549851199355451826343508398462237252355017148097653978405533656318449749580500312254855561844745562190665638616898697235423850466764531 has 243 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)
403e61792 / 2078Dmitry DomanovSeptember 2, 2022 21:05:17 UTC 2022 年 9 月 3 日 (土) 6 時 5 分 17 秒 (日本時間)

3×10299+2

c296

composite cofactor 合成数の残り
12389526720079292971008507475014454447840092508466176592054183530189146774593210539357396547451887337903692078962583629305360535227554307425456347567522920624432146691996365738828776740728504171140662426695300239530849921532997439497811183612785991575121830346080779714214916990170975468737094243<296>

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)
403e61792 / 2078Dmitry DomanovNovember 3, 2022 15:52:31 UTC 2022 年 11 月 4 日 (金) 0 時 52 分 31 秒 (日本時間)

3×10300+2

c260

composite cofactor 合成数の残り
43029074561450797679437699266367293821192042532931664012465710349700644538038808473658322074054373094147197473333575818860487419435295773453553506117968953330430355955298792830111371877567794053234236147419143367595244319385177250733803275193390944165606470437<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 DomanovJune 12, 2022 15:49:50 UTC 2022 年 6 月 13 日 (月) 0 時 49 分 50 秒 (日本時間)
4511e63584Dmitry DomanovJune 15, 2022 09:04:07 UTC 2022 年 6 月 15 日 (水) 18 時 4 分 7 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJune 15, 2022 09:04:07 UTC 2022 年 6 月 15 日 (水) 18 時 4 分 7 秒 (日本時間)