Table of contents 目次

83×10110+259

c102

name 名前Dmitry Domanov
date 日付February 20, 2023 22:13:05 UTC 2023 年 2 月 21 日 (火) 7 時 13 分 5 秒 (日本時間)
composite number 合成数
609318628764324376666996891669297886200081403867624668981919620422684442891636295574204779955249474253<102>
prime factors 素因数
30290901798879195257018646916695336903917<41>
20115565816098284609058203131253156339396068071390454989767009<62>
factorization results 素因数分解の結果
Number: z3
N=609318628764324376666996891669297886200081403867624668981919620422684442891636295574204779955249474253
  ( 102 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=30290901798879195257018646916695336903917 (pp41)
 r2=20115565816098284609058203131253156339396068071390454989767009 (pp62)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 609318628764324376666996891669297886200081403867624668981919620422684442891636295574204779955249474253
m: 1000000000000000000000000000
deg: 4
c4: 332
c0: 1
skew: 0.23
# Murphy_E = 1.281e-07
type: snfs
lss: 1
rlim: 490000
alim: 490000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 490000/490000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [245000, 445001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 39912 x 40137
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,4,0,0,0,0,0,0,0,0,490000,490000,25,25,44,44,2.2,2.2,20000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10113+259

c108

name 名前Dmitry Domanov
date 日付February 20, 2023 22:22:16 UTC 2023 年 2 月 21 日 (火) 7 時 22 分 16 秒 (日本時間)
composite number 合成数
134348065893679692359115617436598436463683734940977900147823338767955396442123298342136773615011049319094057<108>
prime factors 素因数
131244801455621046349123456205013344144863783<45>
1023644856052511763529378559829596951304034110674286552401874479<64>
factorization results 素因数分解の結果
N=134348065893679692359115617436598436463683734940977900147823338767955396442123298342136773615011049319094057
  ( 108 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=131244801455621046349123456205013344144863783 (pp45)
 r2=1023644856052511763529378559829596951304034110674286552401874479 (pp64)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 134348065893679692359115617436598436463683734940977900147823338767955396442123298342136773615011049319094057
m: 10000000000000000000000000000
deg: 4
c4: 166
c0: 5
skew: 0.42
# Murphy_E = 7.314e-08
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 52364 x 52589
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
total time: 0.01 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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10124+259

c118

name 名前Dmitry Domanov
date 日付February 27, 2023 17:45:57 UTC 2023 年 2 月 28 日 (火) 2 時 45 分 57 秒 (日本時間)
composite number 合成数
2714272388189350584987016049116557478519436356812034756748461919126292069280331115069697527861965187167476083949174759<118>
prime factors 素因数
3053339989166397335153698693863097973711351<43>
888951901137738434001128250922635185023944327654706516711742495453335262609<75>
factorization results 素因数分解の結果
N=2714272388189350584987016049116557478519436356812034756748461919126292069280331115069697527861965187167476083949174759
  ( 118 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=3053339989166397335153698693863097973711351 (pp43)
 r2=888951901137738434001128250922635185023944327654706516711742495453335262609 (pp75)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2714272388189350584987016049116557478519436356812034756748461919126292069280331115069697527861965187167476083949174759
m: 10000000000000000000000000000000
deg: 4
c4: 83
c0: 25
skew: 0.74
# Murphy_E = 2.4e-08
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85858 x 86083
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125.000,4,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,75000
total time: 0.02 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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e6355 / 2078Rytis SlatkevičiusFebruary 20, 2023 14:33:32 UTC 2023 年 2 月 20 日 (月) 23 時 33 分 32 秒 (日本時間)

83×10125+259

c112

name 名前anonymous
date 日付March 1, 2023 11:22:27 UTC 2023 年 3 月 1 日 (水) 20 時 22 分 27 秒 (日本時間)
composite number 合成数
1667852324203771032090092237876395190374093026053724577950029269415870955373726563776467790022847609419228160403<112>
prime factors 素因数
2456331086994055099656838995926624972928803673139<49>
679001431458009157188578043470145163953363030452340666118233377<63>
factorization results 素因数分解の結果
p49 factor: 2456331086994055099656838995926624972928803673139
p63 factor: 679001431458009157188578043470145163953363030452340666118233377
software ソフトウェア
GGNFS+Msieve 1.53 snfs

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10137+259

c135

name 名前Bob Backstrom
date 日付February 22, 2023 03:41:14 UTC 2023 年 2 月 22 日 (水) 12 時 41 分 14 秒 (日本時間)
composite number 合成数
996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996997<135>
prime factors 素因数
104353524911721109023712274844471622527600259003421818741<57>
9554032773118267107498135574236140546310986845891917012269696216383937407102417<79>
factorization results 素因数分解の結果
Number: n
N=996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996997  ( 135 digits)
SNFS difficulty: 138 digits.
Divisors found:

Wed Feb 22 14:31:32 2023  prp57 factor: 104353524911721109023712274844471622527600259003421818741
Wed Feb 22 14:31:32 2023  prp79 factor: 9554032773118267107498135574236140546310986845891917012269696216383937407102417
Wed Feb 22 14:31:32 2023  elapsed time 00:02:34 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 83x10^137+25 = 92(136)5
#
n: 996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996997
m: 10000000000000000000000000000000000
deg: 4
c4: 166
c0: 5
skew: 0.42
# Murphy_E = 5.114e-09
type: snfs
lss: 1
rlim: 1410000
alim: 1410000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1410000/1410000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4705000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 382833 hash collisions in 4793598 relations (5132098 unique)
Msieve: matrix is 225269 x 225497 (62.6 MB)

Sieving start time: 2023/02/22 14:06:16
Sieving end time  : 2023/02/22 14:28:49

Total sieving time: 0hrs 22min 33secs.

Total relation processing time: 0hrs 1min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 17sec.

Prototype def-par.txt line would be:
snfs,138,4,0,0,0,0,0,0,0,0,1410000,1410000,26,26,48,48,2.3,2.3,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10142+259

c125

name 名前Bob Backstrom
date 日付February 24, 2023 15:14:26 UTC 2023 年 2 月 25 日 (土) 0 時 14 分 26 秒 (日本時間)
composite number 合成数
17044197182807163659025415913595873693823270340139929796901228615101684637708838102339089225120642901480930323587597703662847<125>
prime factors 素因数
75902684903862576113953762935118677401<38>
224553284306018132788806287565339098578182952663824251966180924627930576397840270825047<87>
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 17044197182807163659025415913595873693823270340139929796901228615101684637708838102339089225120642901480930323587597703662847 (125 digits)
Using B1=39680000, B2=192393080896, polynomial Dickson(12), sigma=1:3628740795
Step 1 took 64045ms
Step 2 took 23915ms
********** Factor found in step 2: 75902684903862576113953762935118677401
Found prime factor of 38 digits: 75902684903862576113953762935118677401
Prime cofactor 224553284306018132788806287565339098578182952663824251966180924627930576397840270825047 has 87 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10148+259

c121

name 名前Bob Backstrom
date 日付February 28, 2023 04:32:49 UTC 2023 年 2 月 28 日 (火) 13 時 32 分 49 秒 (日本時間)
composite number 合成数
6194809295610384280763833017876245950368138030303408109785133791474198255951753876630619318148187845276366213752441950307<121>
prime factors 素因数
1888691500877310355816487506227420652386433369373850378602059<61>
3279947674214053602528332980149285508010896236896270556000073<61>
factorization results 素因数分解の結果
Number: n
N=6194809295610384280763833017876245950368138030303408109785133791474198255951753876630619318148187845276366213752441950307  ( 121 digits)
SNFS difficulty: 148 digits.
Divisors found:

Tue Feb 28 15:29:52 2023  prp61 factor: 1888691500877310355816487506227420652386433369373850378602059
Tue Feb 28 15:29:52 2023  prp61 factor: 3279947674214053602528332980149285508010896236896270556000073
Tue Feb 28 15:29:52 2023  elapsed time 00:05:39 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 83x10^148+25 = 92(147)5
#
n: 6194809295610384280763833017876245950368138030303408109785133791474198255951753876630619318148187845276366213752441950307
m: 100000000000000000000000000000
deg: 5
c5: 3320
c0: 1
skew: 0.20
# Murphy_E = 1.677e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 699711 hash collisions in 7540907 relations (7348009 unique)
Msieve: matrix is 368950 x 369176 (101.2 MB)

Sieving start time: 2023/02/28 14:42:42
Sieving end time  : 2023/02/28 15:24:05

Total sieving time: 0hrs 41min 23secs.

Total relation processing time: 0hrs 3min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10149+259

c119

name 名前Norman Powell
date 日付March 15, 2023 18:51:44 UTC 2023 年 3 月 16 日 (木) 3 時 51 分 44 秒 (日本時間)
composite number 合成数
63124008029821913614385950606118153709508141122856972798038753751531200867192542535215807889353527105278259573249311509<119>
prime factors 素因数
15320052031321127285891751477623852260270009384330615087291<59>
4120352065434754536748114487810962776015456076826659775026799<61>
factorization results 素因数分解の結果
nfs: commencing nfs on c119: 63124008029821913614385950606118153709508141122856972798038753751531200867192542535215807889353527105278259573249311509
nfs: commencing poly selection with 6 threads
nfs: setting deadline of 2100 seconds
nfs: completed 79 ranges of size 250 in 2144.7155 seconds
nfs: best poly = # norm 2.494287e-011 alpha -7.799761 e 3.271e-010 rroots 3
nfs: commencing lattice sieving with 6 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp59 = 15320052031321127285891751477623852260270009384330615087291
prp61 = 4120352065434754536748114487810962776015456076826659775026799
NFS elapsed time = 23054.3767 seconds.
software ソフトウェア
YAFU v1.35 r373
execution environment 実行環境
Windows 10 v22H2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10150+259

c127

name 名前Bob Backstrom
date 日付February 25, 2023 01:24:00 UTC 2023 年 2 月 25 日 (土) 10 時 24 分 0 秒 (日本時間)
composite number 合成数
1333975634209713210222456480404744003074287344884561700134773415911412950425060851777372518497534871580294944008429609954667349<127>
prime factors 素因数
75334365018987767438392328837419819073<38>
17707398660272629131768747312647835408503762136686233250014817203782673692722157180257813<89>
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 1333975634209713210222456480404744003074287344884561700134773415911412950425060851777372518497534871580294944008429609954667349 (127 digits)
Using B1=31650000, B2=144290666536, polynomial Dickson(12), sigma=1:3703525683
Step 1 took 49219ms
Step 2 took 18678ms
********** Factor found in step 2: 75334365018987767438392328837419819073
Found prime factor of 38 digits: 75334365018987767438392328837419819073
Prime cofactor 17707398660272629131768747312647835408503762136686233250014817203782673692722157180257813 has 89 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10152+259

c143

name 名前Bob Backstrom
date 日付March 1, 2023 20:12:09 UTC 2023 年 3 月 2 日 (木) 5 時 12 分 9 秒 (日本時間)
composite number 合成数
32360692947966964891106491928254764298608657942744933028808568754199380477400434562797671704325235388948851644634020947558251678500870219532973<143>
prime factors 素因数
1689962085128988191769735926289256996075872713053669<52>
19148768621928580043822028294028031633019569604133988303461171785873804362716555808581637417<92>
factorization results 素因数分解の結果
Number: n
N=32360692947966964891106491928254764298608657942744933028808568754199380477400434562797671704325235388948851644634020947558251678500870219532973
  ( 143 digits)
SNFS difficulty: 152 digits.
Divisors found:

Thu Mar  2 07:07:15 2023  prp52 factor: 1689962085128988191769735926289256996075872713053669
Thu Mar  2 07:07:15 2023  prp92 factor: 19148768621928580043822028294028031633019569604133988303461171785873804362716555808581637417
Thu Mar  2 07:07:15 2023  elapsed time 00:07:10 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 83x10^152+25 = 92(151)5
#
n: 32360692947966964891106491928254764298608657942744933028808568754199380477400434562797671704325235388948851644634020947558251678500870219532973
m: 1000000000000000000000000000000
deg: 5
c5: 332
c0: 1
skew: 0.31
# Murphy_E = 1.257e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 41200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 636872 hash collisions in 11557152 relations (11724386 unique)
Msieve: matrix is 420003 x 420231 (117.3 MB)

Sieving start time: 2023/03/02 02:28:28
Sieving end time  : 2023/03/02 06:59:16

Total sieving time: 4hrs 30min 48secs.

Total relation processing time: 0hrs 4min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 27sec.

Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10155+259

c153

name 名前Bob Backstrom
date 日付February 28, 2023 21:20:21 UTC 2023 年 3 月 1 日 (水) 6 時 20 分 21 秒 (日本時間)
composite number 合成数
996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996997<153>
prime factors 素因数
2060549806372201268861379054166236208672185209562655355779<58>
483849986985904197019094869960015036016083497768938164220880371173220848934398732365110991571543<96>
factorization results 素因数分解の結果
Number: n
N=996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996997  ( 153 digits)
SNFS difficulty: 156 digits.
Divisors found:

Wed Mar  1 08:16:56 2023  prp58 factor: 2060549806372201268861379054166236208672185209562655355779
Wed Mar  1 08:16:56 2023  prp96 factor: 483849986985904197019094869960015036016083497768938164220880371173220848934398732365110991571543
Wed Mar  1 08:16:56 2023  elapsed time 00:09:32 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 83x10^155+25 = 92(154)5
#
n: 996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996996997
m: 10000000000000000000000000000000
deg: 5
c5: 83
c0: 25
skew: 0.79
# Murphy_E = 6.693e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 12650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1206414 hash collisions in 13704663 relations (13393427 unique)
Msieve: matrix is 472583 x 472812 (129.3 MB)

Sieving start time: 2023/03/01 06:24:45
Sieving end time  : 2023/03/01 08:07:15

Total sieving time: 1hrs 42min 30secs.

Total relation processing time: 0hrs 5min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10161+259

c157

name 名前Bob Backstrom
date 日付March 8, 2023 07:02:44 UTC 2023 年 3 月 8 日 (水) 16 時 2 分 44 秒 (日本時間)
composite number 合成数
4136916999987539406626543556004136916999987539406626543556004136916999987539406626543556004136916999987539406626543556004136916999987539406626543556004136917<157>
prime factors 素因数
10047686820220483412360619352455901511227990680287388406121646186301320923<74>
411728298662951374351445381390324565030333100651804074219121692534762535194378808079<84>
factorization results 素因数分解の結果
Number: n
N=4136916999987539406626543556004136916999987539406626543556004136916999987539406626543556004136916999987539406626543556004136916999987539406626543556004136917  ( 157 digits)
SNFS difficulty: 162 digits.
Divisors found:

Sun Mar  5 22:53:05 2023  prp74 factor: 10047686820220483412360619352455901511227990680287388406121646186301320923
Sun Mar  5 22:53:05 2023  prp84 factor: 411728298662951374351445381390324565030333100651804074219121692534762535194378808079
Sun Mar  5 22:53:05 2023  elapsed time 00:10:27 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 83x10^161+25 = 92(160)5
#
n: 4136916999987539406626543556004136916999987539406626543556004136916999987539406626543556004136916999987539406626543556004136916999987539406626543556004136917
m: 100000000000000000000000000000000
deg: 5
c5: 166
c0: 5
skew: 0.50
# Murphy_E = 4.798e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 12950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1829955 hash collisions in 16315194 relations (15513574 unique)
Msieve: matrix is 508964 x 509190 (140.9 MB)

Sieving start time: 2023/03/05 21:12:56
Sieving end time  : 2023/03/05 22:41:39

Total sieving time: 1hrs 28min 43secs.

Total relation processing time: 0hrs 6min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 27sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10164+259

c136

name 名前Bob Backstrom
date 日付March 10, 2023 08:49:04 UTC 2023 年 3 月 10 日 (金) 17 時 49 分 4 秒 (日本時間)
composite number 合成数
6438287291899648709739187632055046604759317364271449851372720136433304780796731690837391765831083998795560423359794390504769096214274547<136>
prime factors 素因数
1043601233300743417883654052787808210870597247645583<52>
6169298278362874317877117932863669120593074050594728547646412632738219514456625782109<85>
factorization results 素因数分解の結果
Number: n
N=6438287291899648709739187632055046604759317364271449851372720136433304780796731690837391765831083998795560423359794390504769096214274547  ( 136 digits)
SNFS difficulty: 164 digits.
Divisors found:

Fri Mar 10 19:41:50 2023  prp52 factor: 1043601233300743417883654052787808210870597247645583
Fri Mar 10 19:41:50 2023  prp85 factor: 6169298278362874317877117932863669120593074050594728547646412632738219514456625782109
Fri Mar 10 19:41:50 2023  elapsed time 00:16:38 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.020).
Factorization parameters were as follows:
#
# N = 83x10^164+25 = 92(163)5
#
n: 6438287291899648709739187632055046604759317364271449851372720136433304780796731690837391765831083998795560423359794390504769096214274547
m: 100000000000000000000000000000000
deg: 5
c5: 33200
c0: 1
skew: 0.12
# Murphy_E = 3.527e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 34750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1271330 hash collisions in 13668642 relations (13272449 unique)
Msieve: matrix is 631097 x 631323 (176.4 MB)

Sieving start time: 2023/03/10 15:30:30
Sieving end time  : 2023/03/10 19:24:29

Total sieving time: 3hrs 53min 59secs.

Total relation processing time: 0hrs 11min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 29sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10166+259

c149

name 名前Bob Backstrom
date 日付March 9, 2023 06:59:37 UTC 2023 年 3 月 9 日 (木) 15 時 59 分 37 秒 (日本時間)
composite number 合成数
62991044832988553989515400232009699568698652026109698455021746424080341777426668499653466285000315714046236292707915142471500767896725463833359586413<149>
prime factors 素因数
19941022849458891235753904427360049016371<41>
3158867291238164584215131911086185352772280634416427871537495512458851317705200251621478070608325541191406303<109>
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 62991044832988553989515400232009699568698652026109698455021746424080341777426668499653466285000315714046236292707915142471500767896725463833359586413 (149 digits)
Using B1=31720000, B2=144290666536, polynomial Dickson(12), sigma=1:321840396
Step 1 took 63048ms
Step 2 took 22689ms
********** Factor found in step 2: 19941022849458891235753904427360049016371
Found prime factor of 41 digits: 19941022849458891235753904427360049016371
Prime cofactor 3158867291238164584215131911086185352772280634416427871537495512458851317705200251621478070608325541191406303 has 109 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10169+259

c153

name 名前Bob Backstrom
date 日付March 12, 2023 04:40:11 UTC 2023 年 3 月 12 日 (日) 13 時 40 分 11 秒 (日本時間)
composite number 合成数
142271679039032684124865671988690266386290761817984901205148595177026049526862001692311299956736320401940236768900434159282992917643377054546529698865307<153>
prime factors 素因数
522993074459228238074037636099322232297<39>
902497823574543076613228740929277990559741023<45>
301422977642471641713334858642368171003210790087930045881810940460797<69>
factorization results 素因数分解の結果
Number: n
N=272033581297688813922146818334346124103030425225154300935763166165114088511174977954674835851520902864148604175331  ( 114 digits)
Divisors found:

Sun Mar 12 15:32:43 2023  prp45 factor: 902497823574543076613228740929277990559741023
Sun Mar 12 15:32:43 2023  prp69 factor: 301422977642471641713334858642368171003210790087930045881810940460797
Sun Mar 12 15:32:43 2023  elapsed time 00:04:39 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
#
# N = 83x10^169+25 = 92(168)5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 142271679039032684124865671988690266386290761817984901205148595177026049526862001692311299956736320401940236768900434159282992917643377054546529698865307 (153 digits)
# Using B1=35210000, B2=192388936756, polynomial Dickson(12), sigma=1:3546188032
# Step 1 took 72085ms
# Step 2 took 28374ms
# ********** Factor found in step 2: 522993074459228238074037636099322232297
# Found prime factor of 39 digits: 522993074459228238074037636099322232297
# Composite cofactor 272033581297688813922146818334346124103030425225154300935763166165114088511174977954674835851520902864148604175331 has 114 digits
#

n: 272033581297688813922146818334346124103030425225154300935763166165114088511174977954674835851520902864148604175331

Y0: -17452665568444317648765
Y1: 647899678639
c0: 8408220415024830490742012554
c1: -285495779265747991245041
c2: 1080881132526296837
c3: 16071818123657
c4: 45886878
c5: 168

# skew 157255.53, size 7.098e-11, alpha -5.546, combined = 6.503e-10 rroots = 3

skew: 157255.53

type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 5300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1125547 hash collisions in 9728291 relations (8828543 unique)
Msieve: matrix is 308221 x 308447 (85.9 MB)

Sieving start time: 2023/03/12 14:42:29
Sieving end time  : 2023/03/12 15:27:50

Total sieving time: 0hrs 45min 21secs.

Total relation processing time: 0hrs 2min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 18sec.

Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10172+259

c157

name 名前Bob Backstrom
date 日付March 11, 2023 06:49:07 UTC 2023 年 3 月 11 日 (土) 15 時 49 分 7 秒 (日本時間)
composite number 合成数
4151478275011819043494167343983152540957079937027085721517295227320165579960139988567847961641207154440511181398639194904369976652782525841921271988601740243<157>
prime factors 素因数
479617947537281974692829991799911543<36>
8655802595229432339357341256288188229373090791155156880954505379113281444426906398097518047269981165959432073082906080901<121>
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 4151478275011819043494167343983152540957079937027085721517295227320165579960139988567847961641207154440511181398639194904369976652782525841921271988601740243 (157 digits)
Using B1=30970000, B2=144289975846, polynomial Dickson(12), sigma=1:1604024216
Step 1 took 75865ms
Step 2 took 25495ms
********** Factor found in step 2: 479617947537281974692829991799911543
Found prime factor of 36 digits: 479617947537281974692829991799911543
Prime cofactor 8655802595229432339357341256288188229373090791155156880954505379113281444426906398097518047269981165959432073082906080901 has 121 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10174+259

c151

name 名前Bob Backstrom
date 日付March 13, 2023 05:10:49 UTC 2023 年 3 月 13 日 (月) 14 時 10 分 49 秒 (日本時間)
composite number 合成数
1316197255296028989328204396544017299001480616599466651168719264031749221054358550605513366783972508133568876011774555310351037669408065841559427305299<151>
prime factors 素因数
9203428223029817856130526023193643606755574431<46>
143011628210724482027964498113784996869318701160233361157187811656104464500031889084443115794832030042829<105>
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 1316197255296028989328204396544017299001480616599466651168719264031749221054358550605513366783972508133568876011774555310351037669408065841559427305299 (151 digits)
Using B1=32530000, B2=144292047916, polynomial Dickson(12), sigma=1:2269742779
Step 1 took 64796ms
Step 2 took 22665ms
********** Factor found in step 2: 9203428223029817856130526023193643606755574431
Found prime factor of 46 digits: 9203428223029817856130526023193643606755574431
Prime cofactor 143011628210724482027964498113784996869318701160233361157187811656104464500031889084443115794832030042829 has 105 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10175+259

c175

name 名前Bob Backstrom
date 日付March 13, 2023 05:31:58 UTC 2023 年 3 月 13 日 (月) 14 時 31 分 58 秒 (日本時間)
composite number 合成数
3688888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<175>
prime factors 素因数
101424294725470393299506479126214932108553416259<48>
3667657277542152137451493706903067188174650999633541790901<58>
9916646482184462000591566516298063271517345659549245929319198317901671<70>
factorization results 素因数分解の結果
Number: n
N=3688888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 175 digits)
SNFS difficulty: 176 digits.
Divisors found:

Mon Mar 13 16:17:11 2023  prp48 factor: 101424294725470393299506479126214932108553416259
Mon Mar 13 16:17:11 2023  prp58 factor: 3667657277542152137451493706903067188174650999633541790901
Mon Mar 13 16:17:11 2023  prp70 factor: 9916646482184462000591566516298063271517345659549245929319198317901671
Mon Mar 13 16:17:11 2023  elapsed time 00:36:02 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 83x10^175+25 = 92(174)5
#
n: 3688888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 100000000000000000000000000000000000
deg: 5
c5: 83
c0: 25
skew: 0.79
# Murphy_E = 1.095e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 21400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1824837 hash collisions in 12844117 relations (11662007 unique)
Msieve: matrix is 1006116 x 1006343 (283.3 MB)

Sieving start time: 2023/03/13 13:02:21
Sieving end time  : 2023/03/13 15:40:52

Total sieving time: 2hrs 38min 31secs.

Total relation processing time: 0hrs 28min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 18sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,51,51,2.5,2.5,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10176+259

c168

name 名前Bob Backstrom
date 日付March 14, 2023 01:22:17 UTC 2023 年 3 月 14 日 (火) 10 時 22 分 17 秒 (日本時間)
composite number 合成数
200578923818808283390706789747186705539997911115505239510867003902548727446018455528983137638596932520781104764075018955871296143500870619162446079816367530298070231201<168>
prime factors 素因数
145559937260362865083056563353518958195518606881703483019<57>
1377981658923313704385085007458965528387867948055444691630609861394993794555955672155822520962227214941722693379<112>
factorization results 素因数分解の結果
Number: n
N=200578923818808283390706789747186705539997911115505239510867003902548727446018455528983137638596932520781104764075018955871296143500870619162446079816367530298070231201  ( 168 digits)
SNFS difficulty: 177 digits.
Divisors found:

Tue Mar 14 11:53:22 2023  prp57 factor: 145559937260362865083056563353518958195518606881703483019
Tue Mar 14 11:53:22 2023  prp112 factor: 1377981658923313704385085007458965528387867948055444691630609861394993794555955672155822520962227214941722693379
Tue Mar 14 11:53:22 2023  elapsed time 00:30:26 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.022).
Factorization parameters were as follows:
#
# N = 83x10^176+25 = 92(175)5
#
n: 200578923818808283390706789747186705539997911115505239510867003902548727446018455528983137638596932520781104764075018955871296143500870619162446079816367530298070231201
m: 100000000000000000000000000000000000
deg: 5
c5: 166
c0: 5
skew: 0.50
# Murphy_E = 1.223e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 28650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2141868 hash collisions in 14964120 relations (13587241 unique)
Msieve: matrix is 923923 x 924147 (259.6 MB)

Sieving start time: 2023/03/14 07:58:21
Sieving end time  : 2023/03/14 11:22:32

Total sieving time: 3hrs 24min 11secs.

Total relation processing time: 0hrs 24min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 58sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6100000,6100000,27,27,51,51,2.5,2.5,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10178+259

c176

name 名前Bob Backstrom
date 日付March 16, 2023 23:55:53 UTC 2023 年 3 月 17 日 (金) 8 時 55 分 53 秒 (日本時間)
composite number 合成数
12853271389856755710414246999612853271389856755710414246999612853271389856755710414246999612853271389856755710414246999612853271389856755710414246999612853271389856755710414247<176>
prime factors 素因数
1842771009440329860710861211914574538623554942857123750273<58>
6974969393381350080141247216770783149733428958482348802532482504286285608272027309601531476255328882974203971545363239<118>
factorization results 素因数分解の結果
Number: n
N=12853271389856755710414246999612853271389856755710414246999612853271389856755710414246999612853271389856755710414246999612853271389856755710414246999612853271389856755710414247  ( 176 digits)
SNFS difficulty: 178 digits.
Divisors found:

Fri Mar 17 10:36:23 2023  prp58 factor: 1842771009440329860710861211914574538623554942857123750273
Fri Mar 17 10:36:23 2023  prp118 factor: 6974969393381350080141247216770783149733428958482348802532482504286285608272027309601531476255328882974203971545363239
Fri Mar 17 10:36:23 2023  elapsed time 00:48:35 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 83x10^178+25 = 92(177)5
#
n: 12853271389856755710414246999612853271389856755710414246999612853271389856755710414246999612853271389856755710414246999612853271389856755710414246999612853271389856755710414247
m: 100000000000000000000000000000000000
deg: 5
c5: 3320
c0: 1
skew: 0.20
# Murphy_E = 1.133e-10
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 57700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1224256 hash collisions in 14603954 relations (14024658 unique)
Msieve: matrix is 1183957 x 1184182 (332.6 MB)

Sieving start time: 2023/03/17 02:20:07
Sieving end time  : 2023/03/17 09:47:02

Total sieving time: 7hrs 26min 55secs.

Total relation processing time: 0hrs 40min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 45sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,27,27,53,53,2.5,2.5,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10180+259

c138

name 名前Bob Backstrom
date 日付June 9, 2023 16:30:36 UTC 2023 年 6 月 10 日 (土) 1 時 30 分 36 秒 (日本時間)
composite number 合成数
369760749294194297469950508572832899601521741747094828224237799022805585151689372348455585596745914598881508354639700838932432188455559283<138>
prime factors 素因数
52667973641341376749946997264443573182115685336181<50>
7020599497755369282382208809968720316638747644221941204799414607999410992091983872873543<88>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 369760749294194297469950508572832899601521741747094828224237799022805585151689372348455585596745914598881508354639700838932432188455559283 (138 digits)
Using B1=49540000, B2=240496876636, polynomial Dickson(12), sigma=1:3751649466
Step 1 took 91903ms
Step 2 took 27028ms
********** Factor found in step 2: 52667973641341376749946997264443573182115685336181
Found prime factor of 50 digits: 52667973641341376749946997264443573182115685336181
Prime cofactor 7020599497755369282382208809968720316638747644221941204799414607999410992091983872873543 has 88 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350cccMarch 24, 2023 13:00:44 UTC 2023 年 3 月 24 日 (金) 22 時 0 分 44 秒 (日本時間)

83×10181+259

c170

name 名前Bob Backstrom
date 日付March 15, 2023 23:39:04 UTC 2023 年 3 月 16 日 (木) 8 時 39 分 4 秒 (日本時間)
composite number 合成数
46785787358380629940847598757363630519043710540657471614076337685467441013676975956788593155612601710720565365319459880043997713329541759829470471481860045048826193044609<170>
prime factors 素因数
378212662526669466309009928338876786826801<42>
123702329387455542514795639345850734220332588915211264059741616673002989952485581860644458093038965651711452197312034658236483409<129>
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 46785787358380629940847598757363630519043710540657471614076337685467441013676975956788593155612601710720565365319459880043997713329541759829470471481860045048826193044609 (170 digits)
Using B1=31850000, B2=144291357226, polynomial Dickson(12), sigma=1:3606910427
Step 1 took 75964ms
Step 2 took 25548ms
********** Factor found in step 2: 378212662526669466309009928338876786826801
Found prime factor of 42 digits: 378212662526669466309009928338876786826801
Prime cofactor 123702329387455542514795639345850734220332588915211264059741616673002989952485581860644458093038965651711452197312034658236483409 has 129 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 15, 2023 16:07:28 UTC 2023 年 3 月 16 日 (木) 1 時 7 分 28 秒 (日本時間)

83×10182+259

c142

name 名前Eric Jeancolas
date 日付May 31, 2023 06:27:07 UTC 2023 年 5 月 31 日 (水) 15 時 27 分 7 秒 (日本時間)
composite number 合成数
5606181861458735687054287247884076058289155615415035546397992278227093010530689538267012522273586747490698691675275725234807126499110362589153<142>
prime factors 素因数
1581862978759049545453126725474983444886744107422029296388107869<64>
3544037591585025112138935183339422056077367265600332812341654114934503310942037<79>
factorization results 素因数分解の結果
5606181861458735687054287247884076058289155615415035546397992278227093010530689538267012522273586747490698691675275725234807126499110362589153=1581862978759049545453126725474983444886744107422029296388107869*3544037591585025112138935183339422056077367265600332812341654114934503310942037

cado polynomial
n: 5606181861458735687054287247884076058289155615415035546397992278227093010530689538267012522273586747490698691675275725234807126499110362589153
skew: 0.31
type: snfs
c0: 1
c5: 332
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 332*x^5+1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7700000
tasks.lim1 = 7700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1581862978759049545453126725474983444886744107422029296388107869 3544037591585025112138935183339422056077367265600332812341654114934503310942037
Info:Square Root: Total cpu/real time for sqrt: 283.6/91.6522
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22421795
Info:Lattice Sieving: Average J: 1895.61 for 1057847 special-q, max bucket fill -bkmult 1.0,1s:1.172760
Info:Lattice Sieving: Total time: 217983s
Info:Linear Algebra: Total cpu/real time for bwc: 21096.9/5469.36
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13375.35, WCT time 3434.61, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36096 iterations)
Info:Linear Algebra: Lingen CPU time 226.98, WCT time 57.59
Info:Linear Algebra: Mksol: CPU time 7300.85,  WCT time 1905.12, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18176 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.25/1.86935
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 235.48/244.06
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 227.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 119.52/32.9227
Info:Square Root: Total cpu/real time for sqrt: 283.6/91.6522
Info:Quadratic Characters: Total cpu/real time for characters: 38.97/17.3335
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.1/91.622
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 91.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 114.54/103.999
Info:Filtering - Merging: Merged matrix has 1153488 rows and total weight 196887667 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 284.56/78.3375
Info:Filtering - Merging: Total cpu/real time for replay: 40.35/35.018
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 440694/61114.6
Info:root: Cleaning up computation data in /tmp/cado.tywugzn7
1581862978759049545453126725474983444886744107422029296388107869 3544037591585025112138935183339422056077367265600332812341654114934503310942037
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 28, 2023 14:20:18 UTC 2023 年 3 月 28 日 (火) 23 時 20 分 18 秒 (日本時間)

83×10183+259

c137

name 名前Eric Jeancolas
date 日付June 12, 2023 17:01:08 UTC 2023 年 6 月 13 日 (火) 2 時 1 分 8 秒 (日本時間)
composite number 合成数
27689771787430074737476364604501903142262958110295503001021458377514718787210207503268080978238891799123240346836996050569706383695861327<137>
prime factors 素因数
191975719649395871240830591051547938612063523259535328707<57>
144235801475310222821969501985468533936344910871459494508570905979549665342998661<81>
factorization results 素因数分解の結果
27689771787430074737476364604501903142262958110295503001021458377514718787210207503268080978238891799123240346836996050569706383695861327=191975719649395871240830591051547938612063523259535328707*144235801475310222821969501985468533936344910871459494508570905979549665342998661

cado polynomial
n: 27689771787430074737476364604501903142262958110295503001021458377514718787210207503268080978238891799123240346836996050569706383695861327
skew: 0.20
type: snfs
c0: 1
c5: 3320
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 3320*x^5+1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8000000
tasks.lim1 = 8000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 144235801475310222821969501985468533936344910871459494508570905979549665342998661 191975719649395871240830591051547938612063523259535328707
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 359.43/115.752
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 3.38/1.87811
Info:Generate Free Relations: Total cpu/real time for freerel: 127.41/34.2188
Info:Square Root: Total cpu/real time for sqrt: 359.43/115.752
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 87.78/85.9569
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.6s
Info:Quadratic Characters: Total cpu/real time for characters: 43.98/21.3853
Info:Filtering - Singleton removal: Total cpu/real time for purge: 107.02/93.5376
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 209.84/193.777
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 170.8s
Info:Filtering - Merging: Merged matrix has 1287014 rows and total weight 219663
Info:Filtering - Merging: Total cpu/real time for merge: 354.28/96.731
Info:Filtering - Merging: Total cpu/real time for replay: 45.04/46.9754
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22418503
Info:Lattice Sieving: Average J: 1893.84 for 1222783 special-q, max bucket fill -bkmult 1.0,1s:1.175870
Info:Lattice Sieving: Total time: 203366s
Info:Linear Algebra: Total cpu/real time for bwc: 29164/7773.35
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 18647.87, WCT time 4840.47, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Linear Algebra: Lingen CPU time 186.28, WCT time 188.89
Info:Linear Algebra: Mksol: CPU time 10060.06,  WCT time 2621.04, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20224 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 411926/110549
Info:root: Cleaning up computation data in /tmp/cado.di2t9uth
144235801475310222821969501985468533936344910871459494508570905979549665342998661 191975719649395871240830591051547938612063523259535328707
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 18, 2023 16:08:05 UTC 2023 年 3 月 19 日 (日) 1 時 8 分 5 秒 (日本時間)

83×10186+259

c186

name 名前ebina
date 日付February 26, 2023 00:48:27 UTC 2023 年 2 月 26 日 (日) 9 時 48 分 27 秒 (日本時間)
composite number 合成数
122962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<186>
prime factors 素因数
16550514975296229009563603037052506073230194339025556759<56>
7429555101246154016656064822812940642899265662625204928091463017410867961267401271307046050736847903812923938290532839279048800357<130>
factorization results 素因数分解の結果
Number: 92225_186
N = 122962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963 (186 digits)
SNFS difficulty: 188 digits.
Divisors found:
r1=16550514975296229009563603037052506073230194339025556759 (pp56)
r2=7429555101246154016656064822812940642899265662625204928091463017410867961267401271307046050736847903812923938290532839279048800357 (pp130)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 31.06 hours.
Factorization parameters were as follows:
n: 122962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
m: 10000000000000000000000000000000000000
deg: 5
c5: 166
c0: 5
skew: 0.50
# Murphy_E = 4.809e-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: 21618998
Relations: 3371104 relations
Pruned matrix : 2004291 x 2004518
Total sieving time: 28.44 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.37 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: 31.06 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 3.39GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10189+259

c185

name 名前Bob Backstrom
date 日付March 27, 2023 22:17:54 UTC 2023 年 3 月 28 日 (火) 7 時 17 分 54 秒 (日本時間)
composite number 合成数
14763232436422495253087160879212746183571012482046219589742221510741140948848957013202420814379032652534873689874290186452510861203381313838751706442905866606190774758429939123899983547<185>
prime factors 素因数
374445545241610534529277759903746797103105783938050817219<57>
39426914337828581736990226294808933660374489495543106842864816920456637894783015065881837805124846699613475959381185089923526313<128>
factorization results 素因数分解の結果
Number: n
N=14763232436422495253087160879212746183571012482046219589742221510741140948848957013202420814379032652534873689874290186452510861203381313838751706442905866606190774758429939123899983547  ( 185 digits)
SNFS difficulty: 189 digits.
Divisors found:

Tue Mar 28 09:04:11 2023  prp57 factor: 374445545241610534529277759903746797103105783938050817219
Tue Mar 28 09:04:11 2023  prp128 factor: 39426914337828581736990226294808933660374489495543106842864816920456637894783015065881837805124846699613475959381185089923526313
Tue Mar 28 09:04:11 2023  elapsed time 01:24:58 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.080).
Factorization parameters were as follows:
#
# N = 83x10^189+25 = 92(188)5
#
n: 14763232436422495253087160879212746183571012482046219589742221510741140948848957013202420814379032652534873689874290186452510861203381313838751706442905866606190774758429939123899983547
m: 10000000000000000000000000000000000000
deg: 5
c5: 33200
c0: 1
skew: 0.12
# Murphy_E = 3.51e-11
type: snfs
lss: 1
rlim: 10100000
alim: 10100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10100000/10100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1616767 hash collisions in 13497420 relations (12650007 unique)
Msieve: matrix is 1624524 x 1624750 (460.5 MB)

Sieving start time: 2023/03/28 00:29:07
Sieving end time  : 2023/03/28 07:38:59

Total sieving time: 7hrs 9min 52secs.

Total relation processing time: 1hrs 19min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 30sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10100000,10100000,27,27,53,53,2.5,2.5,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10193+259

c163

name 名前Bob Backstrom
date 日付April 15, 2023 23:27:46 UTC 2023 年 4 月 16 日 (日) 8 時 27 分 46 秒 (日本時間)
composite number 合成数
1209505171343052885981605073736974880283656051731126387835130263301079292278585053293347448767000697262263824724825457384606302993630912351911969831597061531570891<163>
prime factors 素因数
1438481393782963472665003904697390958141092479<46>
2541409724767035365635209358732604167532894324699<49>
330848213050301266429525349132774164238562584741351421138321705482671<69>
factorization results 素因数分解の結果
Number: n
N=840820866067831619700303959495770319897413245903854314368806326348725155230975603864524318006519420003458928391791029  ( 117 digits)
Divisors found:

Sun Apr 16 09:22:55 2023  prp49 factor: 2541409724767035365635209358732604167532894324699
Sun Apr 16 09:22:55 2023  prp69 factor: 330848213050301266429525349132774164238562584741351421138321705482671
Sun Apr 16 09:22:55 2023  elapsed time 00:08:07 (Msieve 1.44 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
#
# N = 83x10^193+25 = 92(192)5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 1209505171343052885981605073736974880283656051731126387835130263301079292278585053293347448767000697262263824724825457384606302993630912351911969831597061531570891 (163 digits)
# Using B1=34290000, B2=144293429296, polynomial Dickson(12), sigma=1:2872464605
# Step 1 took 81558ms
# Step 2 took 24643ms
# ********** Factor found in step 2: 1438481393782963472665003904697390958141092479
# Found prime factor of 46 digits: 1438481393782963472665003904697390958141092479
# Composite cofactor 840820866067831619700303959495770319897413245903854314368806326348725155230975603864524318006519420003458928391791029 has 117 digits

n: 840820866067831619700303959495770319897413245903854314368806326348725155230975603864524318006519420003458928391791029

Y0: -87072432932318460526005
Y1: 2594531322143
c0: 709772777650873285246496904448
c1: 45472850208036259059717168
c2: 69405080615836121752
c3: -201410096468790
c4: -119406179
c5: 168

# skew 676328.29, size 3.288e-11, alpha -6.809, combined = 4.254e-10 rroots = 5

skew: 676328.29

type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 5300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1040269 hash collisions in 7360567 relations (6549919 unique)
Msieve: matrix is 384643 x 384868 (109.6 MB)

Sieving start time: 2023/04/16 08:22:30
Sieving end time  : 2023/04/16 09:14:37

Total sieving time: 0hrs 52min 7secs.

Total relation processing time: 0hrs 3min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 47sec.

Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,60000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 4, 2023 11:14:08 UTC 2023 年 3 月 4 日 (土) 20 時 14 分 8 秒 (日本時間)
2350Ignacio SantosApril 13, 2023 16:43:01 UTC 2023 年 4 月 14 日 (金) 1 時 43 分 1 秒 (日本時間)

83×10194+259

c180

name 名前Bob Backstrom
date 日付April 17, 2023 01:23:31 UTC 2023 年 4 月 17 日 (月) 10 時 23 分 31 秒 (日本時間)
composite number 合成数
305514160850460789537447109580525072525919449882218159144921884787311376500389558377894097589518300941675252884718184790540372716040723007944202334526714334088401088107058101209881<180>
prime factors 素因数
241418387291029357401497657236289858140464897373869350479493541414102447031<75>
1265496652010039782550690859756172400214595019220221968076920041466234956572834850656148149820926657042351<106>
factorization results 素因数分解の結果
Number: n
N=305514160850460789537447109580525072525919449882218159144921884787311376500389558377894097589518300941675252884718184790540372716040723007944202334526714334088401088107058101209881  ( 180 digits)
SNFS difficulty: 194 digits.
Divisors found:

Mon Apr 17 10:26:15 2023  prp75 factor: 241418387291029357401497657236289858140464897373869350479493541414102447031
Mon Apr 17 10:26:15 2023  prp106 factor: 1265496652010039782550690859756172400214595019220221968076920041466234956572834850656148149820926657042351
Mon Apr 17 10:26:15 2023  elapsed time 02:38:40 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 83x10^194+25 = 92(193)5
#
n: 305514160850460789537447109580525072525919449882218159144921884787311376500389558377894097589518300941675252884718184790540372716040723007944202334526714334088401088107058101209881
m: 100000000000000000000000000000000000000
deg: 5
c5: 33200
c0: 1
skew: 0.12
# Murphy_E = 2.184e-11
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 24500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1676132 hash collisions in 13284571 relations (12338412 unique)
Msieve: matrix is 2222730 x 2222965 (633.2 MB)

Sieving start time: 2023/04/16 21:45:10
Sieving end time  : 2023/04/17 07:47:19

Total sieving time: 10hrs 2min 9secs.

Total relation processing time: 2hrs 27min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 0sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12200000,12200000,27,27,55,55,2.5,2.5,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 4, 2023 11:14:15 UTC 2023 年 3 月 4 日 (土) 20 時 14 分 15 秒 (日本時間)
2350Ignacio SantosApril 13, 2023 17:16:58 UTC 2023 年 4 月 14 日 (金) 2 時 16 分 58 秒 (日本時間)

83×10195+259

c155

name 名前Eric Jeancolas
date 日付July 25, 2023 18:43:15 UTC 2023 年 7 月 26 日 (水) 3 時 43 分 15 秒 (日本時間)
composite number 合成数
38147936657251792678471052699676022634636780437174110413372505626467493335589639991683044406870961648567938631831035401520745789507136214058566843393568701<155>
prime factors 素因数
215656632262303460951160806198009882783406067527348434457716785691<66>
176892016985837024518005440640738379341252096754642912582456452728684195096556926163727111<90>
factorization results 素因数分解の結果
38147936657251792678471052699676022634636780437174110413372505626467493335589639991683044406870961648567938631831035401520745789507136214058566843393568701=215656632262303460951160806198009882783406067527348434457716785691*176892016985837024518005440640738379341252096754642912582456452728684195096556926163727111

cado polynomial
n: 38147936657251792678471052699676022634636780437174110413372505626467493335589639991683044406870961648567938631831035401520745789507136214058566843393568701
skew: 0.79
type: snfs
c0: 25
c5: 83
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 83*x^5+25
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13400000
tasks.lim1 = 13400000
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: 176892016985837024518005440640738379341252096754642912582456452728684195096556926163727111 215656632262303460951160806198009882783406067527348434457716785691
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2356.22/402.863
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1048.49/943.71
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 607.7s
Info:Linear Algebra: Total cpu/real time for bwc: 128493/33318
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 81196.75, WCT time 21001.54, iteration CPU time 0.22, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (88064 iterations)
Info:Linear Algebra: Lingen CPU time 528.78, WCT time 135.9
Info:Linear Algebra: Mksol: CPU time 45668.99,  WCT time 11816.54, iteration CPU time 0.25, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (44032 iterations)
Info:Square Root: Total cpu/real time for sqrt: 2356.22/402.863
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 245.48/199.929
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 198.29999999999995s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.68/2.40893
Info:Quadratic Characters: Total cpu/real time for characters: 123.86/32.1576
Info:Filtering - Singleton removal: Total cpu/real time for purge: 792.23/656.859
Info:Filtering - Merging: Merged matrix has 2812896 rows and total weight 481771012 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1788.6/241.597
Info:Filtering - Merging: Total cpu/real time for replay: 102/89.2466
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31012710
Info:Lattice Sieving: Average J: 1893.46 for 4482929 special-q, max bucket fill -bkmult 1.0,1s:1.139090
Info:Lattice Sieving: Total time: 1.64157e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 173.67/22.3476
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 3.2129e+06/445914
Info:root: Cleaning up computation data in /tmp/cado.mp_hhlsw
176892016985837024518005440640738379341252096754642912582456452728684195096556926163727111 215656632262303460951160806198009882783406067527348434457716785691
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)]
Intel(R) Core(TM) i7-8550U CPU @ 1.80GHz (8 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 4, 2023 11:14:23 UTC 2023 年 3 月 4 日 (土) 20 時 14 分 23 秒 (日本時間)
2350Ignacio SantosApril 18, 2023 16:32:34 UTC 2023 年 4 月 19 日 (水) 1 時 32 分 34 秒 (日本時間)
4511e65184dddJuly 23, 2023 11:33:12 UTC 2023 年 7 月 23 日 (日) 20 時 33 分 12 秒 (日本時間)

83×10197+259

c169

name 名前Bob Backstrom
date 日付May 1, 2023 13:27:52 UTC 2023 年 5 月 1 日 (月) 22 時 27 分 52 秒 (日本時間)
composite number 合成数
6638654236081600298986373281356050953798247362151018096899246842814362917783825333446718968165923671628308575124429528244178255655550581069910822023847715918066674753773<169>
prime factors 素因数
2626067129659362490306751768690681554069898626131559640249509091659161605407<76>
2527983447606202772556199757384237763073661331427727932338667658736111179454432523364874394739<94>
factorization results 素因数分解の結果
Number: n
N=6638654236081600298986373281356050953798247362151018096899246842814362917783825333446718968165923671628308575124429528244178255655550581069910822023847715918066674753773  ( 169 digits)
SNFS difficulty: 197 digits.
Divisors found:

Mon May  1 23:14:51 2023  prp76 factor: 2626067129659362490306751768690681554069898626131559640249509091659161605407
Mon May  1 23:14:51 2023  prp94 factor: 2527983447606202772556199757384237763073661331427727932338667658736111179454432523364874394739
Mon May  1 23:14:51 2023  elapsed time 02:32:57 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 83x10^197+25 = 92(196)5
#
n: 6638654236081600298986373281356050953798247362151018096899246842814362917783825333446718968165923671628308575124429528244178255655550581069910822023847715918066674753773
m: 1000000000000000000000000000000000000000
deg: 5
c5: 332
c0: 1
skew: 0.31
# Murphy_E = 1.997e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1688678 hash collisions in 13525746 relations (12587216 unique)
Msieve: matrix is 2182785 x 2183011 (621.4 MB)

Sieving start time: 2023/05/01 10:15:42
Sieving end time  : 2023/05/01 20:41:39

Total sieving time: 10hrs 25min 57secs.

Total relation processing time: 2hrs 23min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 56sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13700000,13700000,27,27,55,55,2.5,2.5,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 4, 2023 11:14:30 UTC 2023 年 3 月 4 日 (土) 20 時 14 分 30 秒 (日本時間)
2350Ignacio SantosApril 22, 2023 07:30:37 UTC 2023 年 4 月 22 日 (土) 16 時 30 分 37 秒 (日本時間)

83×10198+259

c159

name 名前Bob Backstrom
date 日付June 4, 2023 15:44:22 UTC 2023 年 6 月 5 日 (月) 0 時 44 分 22 秒 (日本時間)
composite number 合成数
303377679909346530020838028050302873445457456029893153432793499592529811380382759207783807076914414960974750448914927650772900514487111547452992974758306849887<159>
prime factors 素因数
8899177380771665553434738077783420205733887551483576505271960402199420200469<76>
34090530723081287965464462324416720974112749048664978686786217784571635379647893923<83>
factorization results 素因数分解の結果
Number: n
N=303377679909346530020838028050302873445457456029893153432793499592529811380382759207783807076914414960974750448914927650772900514487111547452992974758306849887  ( 159 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat Jun  3 09:03:20 2023  prp76 factor: 8899177380771665553434738077783420205733887551483576505271960402199420200469
Sat Jun  3 09:03:20 2023  prp83 factor: 34090530723081287965464462324416720974112749048664978686786217784571635379647893923
Sat Jun  3 09:03:20 2023  elapsed time 02:18:04 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 83x10^198+25 = 92(197)5
#
n: 303377679909346530020838028050302873445457456029893153432793499592529811380382759207783807076914414960974750448914927650772900514487111547452992974758306849887
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3320
c0: 1
skew: 0.20
# Murphy_E = 1.714e-11
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 32700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2034305 hash collisions in 14854469 relations (13605842 unique)
Msieve: matrix is 2103296 x 2103521 (594.9 MB)

Sieving start time: 2023/06/02 17:16:02
Sieving end time  : 2023/06/03 06:44:59

Total sieving time: 13hrs 28min 57secs.

Total relation processing time: 2hrs 8min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 46sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14200000,14200000,27,27,55,55,2.5,2.5,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 4, 2023 11:14:38 UTC 2023 年 3 月 4 日 (土) 20 時 14 分 38 秒 (日本時間)
2350Ignacio SantosApril 24, 2023 15:41:15 UTC 2023 年 4 月 25 日 (火) 0 時 41 分 15 秒 (日本時間)

83×10199+259

c192

name 名前Bob Backstrom
date 日付May 1, 2023 18:49:40 UTC 2023 年 5 月 2 日 (火) 3 時 49 分 40 秒 (日本時間)
composite number 合成数
165481260102113800296228402458818256353170743309970220500838304637113378393780771632835543273257305759629587544887477154302706904073060534585117322250834031781383783904163183024461813696442283<192>
prime factors 素因数
15354481281682180394886459760414714578733<41>
222931773515703847826377712168812719913355555171<48>
48343901785752693028908300207531930769342535815155010228000128743161325769078619441667597825009011575581<104>
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 165481260102113800296228402458818256353170743309970220500838304637113378393780771632835543273257305759629587544887477154302706904073060534585117322250834031781383783904163183024461813696442283 (192 digits)
Using B1=11230000, B2=35133715900, polynomial Dickson(12), sigma=1:1174092926
Step 1 took 30459ms
********** Factor found in step 1: 15354481281682180394886459760414714578733
Found prime factor of 41 digits: 15354481281682180394886459760414714578733
Composite cofactor 10777391763766850166312424160323544122522530436426289195912218712643818222479788204913764454935361803444277909622136413645942155751360490431749681879351 has 152 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 10777391763766850166312424160323544122522530436426289195912218712643818222479788204913764454935361803444277909622136413645942155751360490431749681879351 (152 digits)
Using B1=26520000, B2=144285831706, polynomial Dickson(12), sigma=1:3726973647
Step 1 took 50647ms
Step 2 took 22000ms
********** Factor found in step 2: 222931773515703847826377712168812719913355555171
Found prime factor of 48 digits: 222931773515703847826377712168812719913355555171
Prime cofactor 48343901785752693028908300207531930769342535815155010228000128743161325769078619441667597825009011575581 has 104 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 4, 2023 11:14:47 UTC 2023 年 3 月 4 日 (土) 20 時 14 分 47 秒 (日本時間)

83×10200+259

c156

name 名前Eric Jeancolas
date 日付July 7, 2023 09:46:07 UTC 2023 年 7 月 7 日 (金) 18 時 46 分 7 秒 (日本時間)
composite number 合成数
499942349037341875941331820273179825062702076193161055272418900934421798155618492587703038609610595210335951911670337742287280649364534475206316919317946289<156>
prime factors 素因数
2590882445963223180596591296466874928732893481468854569263422113372367901<73>
192962189317499591229832224852666780710158691045332862873218424179708787690327713189<84>
factorization results 素因数分解の結果
499942349037341875941331820273179825062702076193161055272418900934421798155618492587703038609610595210335951911670337742287280649364534475206316919317946289=2590882445963223180596591296466874928732893481468854569263422113372367901*192962189317499591229832224852666780710158691045332862873218424179708787690327713189

cado polynomial
n: 499942349037341875941331820273179825062702076193161055272418900934421798155618492587703038609610595210335951911670337742287280649364534475206316919317946289
skew: 0.38
type: snfs
c0: 1
c6: 332
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 332*x^6+1
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15400000
tasks.lim1 = 15400000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 192962189317499591229832224852666780710158691045332862873218424179708787690327713189 2590882445963223180596591296466874928732893481468854569263422113372367901
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2690.77/147.365
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 403.9/225.963
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 204.2s
Info:Linear Algebra: Total cpu/real time for bwc: 66006.6/8269.93
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 43598.03, WCT time 5443.57, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (68096 iterations)
Info:Linear Algebra: Lingen CPU time 376.96, WCT time 24.42
Info:Linear Algebra: Mksol: CPU time 21612.71,  WCT time 2751.78, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (33792 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 167.87/12.9575
Info:Square Root: Total cpu/real time for sqrt: 2690.77/147.365
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 167.29/123.429
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 123.3s
Info:Quadratic Characters: Total cpu/real time for characters: 51.17/10.5305
Info:Filtering - Singleton removal: Total cpu/real time for purge: 215.22/95.5928
Info:Generate Factor Base: Total cpu/real time for makefb: 3.3/0.417229
Info:Filtering - Merging: Merged matrix has 2162394 rows and total weight 369628725 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 500.78/29.1465
Info:Filtering - Merging: Total cpu/real time for replay: 39.13/34.1736
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43294603
Info:Lattice Sieving: Average J: 3789.73 for 1462189 special-q, max bucket fill -bkmult 1.0,1s:1.196580
Info:Lattice Sieving: Total time: 481880s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 986341/49282.1
Info:root: Cleaning up computation data in /tmp/cado.cd_presc
192962189317499591229832224852666780710158691045332862873218424179708787690327713189 2590882445963223180596591296466874928732893481468854569263422113372367901
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)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 13, 2023 19:03:41 UTC 2023 年 3 月 14 日 (火) 4 時 3 分 41 秒 (日本時間)
2350Ignacio SantosMay 19, 2023 12:34:23 UTC 2023 年 5 月 19 日 (金) 21 時 34 分 23 秒 (日本時間)

83×10201+259

c180

name 名前Bob Backstrom
date 日付June 20, 2023 14:50:45 UTC 2023 年 6 月 20 日 (火) 23 時 50 分 45 秒 (日本時間)
composite number 合成数
289628117413284226462656251349954509160912858415369381330081725916531090611612635113526734281589001114292430281490914083048421831978812762282100659305763851257578046308293352942659<180>
prime factors 素因数
202943440989474916790805007221491571451332168749<48>
1427137117618425339385670904192561153647744468269329857696396527394680912533963827860153698768832840209280208765072322218574183788591<133>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 289628117413284226462656251349954509160912858415369381330081725916531090611612635113526734281589001114292430281490914083048421831978812762282100659305763851257578046308293352942659 (180 digits)
Using B1=52390000, B2=288593765476, polynomial Dickson(12), sigma=1:3897843894
Step 1 took 140127ms
********** Factor found in step 1: 202943440989474916790805007221491571451332168749
Found prime factor of 48 digits: 202943440989474916790805007221491571451332168749
Prime cofactor 1427137117618425339385670904192561153647744468269329857696396527394680912533963827860153698768832840209280208765072322218574183788591 has 133 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 13, 2023 19:04:37 UTC 2023 年 3 月 14 日 (火) 4 時 4 分 37 秒 (日本時間)

83×10202+259

c184

name 名前Bob Backstrom
date 日付July 9, 2023 10:48:15 UTC 2023 年 7 月 9 日 (日) 19 時 48 分 15 秒 (日本時間)
composite number 合成数
6192672843962457811081440156831423251277442250540322680240658945345217933502214998298598117636002291133156267815003983172956339750370412865568320071460730699152858552296212197670352043<184>
prime factors 素因数
1954817137731464417287840829847640555540881445937361469976746172270552123<73>
3167903904888495371968033524921437180988133636336602776033632770644410924399778191153197080170439698367897705041<112>
factorization results 素因数分解の結果
Number: n
N=6192672843962457811081440156831423251277442250540322680240658945345217933502214998298598117636002291133156267815003983172956339750370412865568320071460730699152858552296212197670352043  ( 184 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sat Jul  8 00:20:30 2023  prp73 factor: 1954817137731464417287840829847640555540881445937361469976746172270552123
Sat Jul  8 00:20:30 2023  prp112 factor: 3167903904888495371968033524921437180988133636336602776033632770644410924399778191153197080170439698367897705041
Sat Jul  8 00:20:30 2023  elapsed time 02:28:43 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
#
# N = 83x10^202+25 = 92(201)5
#
n: 6192672843962457811081440156831423251277442250540322680240658945345217933502214998298598117636002291133156267815003983172956339750370412865568320071460730699152858552296212197670352043
m: 10000000000000000000000000000000000000000
deg: 5
c5: 332
c0: 1
skew: 0.31
# Murphy_E = 1.233e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2774579 hash collisions in 16748444 relations (14717793 unique)
Msieve: matrix is 2177512 x 2177737 (616.5 MB)

Sieving start time: 2023/07/07 10:24:41
Sieving end time  : 2023/07/07 21:51:23

Total sieving time: 11hrs 26min 42secs.

Total relation processing time: 2hrs 21min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 41sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,27,27,56,56,2.6,2.6,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e691921000Dmitry DomanovMarch 14, 2023 00:37:29 UTC 2023 年 3 月 14 日 (火) 9 時 37 分 29 秒 (日本時間)
8192dddJune 25, 2023 10:39:08 UTC 2023 年 6 月 25 日 (日) 19 時 39 分 8 秒 (日本時間)

83×10203+259

c169

name 名前Bob Backstrom
date 日付August 27, 2023 04:28:18 UTC 2023 年 8 月 27 日 (日) 13 時 28 分 18 秒 (日本時間)
composite number 合成数
6761045550447585319226470465538134532087649828340994072446489101738326553368170227983639679200066230966297988015090217294487145826137031264610110309171797071520369489563<169>
prime factors 素因数
65412726015767119082809649547531639360821302816960409<53>
103359788870714533739625083096907156398987472251208860997115581286169186114244506160175418916896068075619615892916307<117>
factorization results 素因数分解の結果
Number: n
N=6761045550447585319226470465538134532087649828340994072446489101738326553368170227983639679200066230966297988015090217294487145826137031264610110309171797071520369489563  ( 169 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sun Aug 27 13:43:02 2023  prp53 factor: 65412726015767119082809649547531639360821302816960409
Sun Aug 27 13:43:02 2023  prp117 factor: 103359788870714533739625083096907156398987472251208860997115581286169186114244506160175418916896068075619615892916307
Sun Aug 27 13:43:02 2023  elapsed time 02:50:56 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
#
# N = 83x10^203+25 = 92(202)5
#
n: 6761045550447585319226470465538134532087649828340994072446489101738326553368170227983639679200066230966297988015090217294487145826137031264610110309171797071520369489563
m: 10000000000000000000000000000000000000000
deg: 5
c5: 3320
c0: 1
skew: 0.20
# Murphy_E = 1.058e-11
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3069466 hash collisions in 17506926 relations (15161367 unique)
Msieve: matrix is 2278894 x 2279119 (642.9 MB)

Sieving start time: 2023/08/26 21:38:54
Sieving end time  : 2023/08/27 10:51:42

Total sieving time: 13hrs 12min 48secs.

Total relation processing time: 2hrs 37min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 41sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17300000,17300000,27,27,56,56,2.6,2.6,100000
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 13, 2023 19:03:51 UTC 2023 年 3 月 14 日 (火) 4 時 3 分 51 秒 (日本時間)
2350Ignacio SantosJuly 19, 2023 07:40:56 UTC 2023 年 7 月 19 日 (水) 16 時 40 分 56 秒 (日本時間)

83×10204+259

c159

name 名前Bob Backstrom
date 日付September 16, 2023 20:50:17 UTC 2023 年 9 月 17 日 (日) 5 時 50 分 17 秒 (日本時間)
composite number 合成数
403281635700053692700777843429102542440912612890238393664808512460493144112641169714221634225617234832843470383769789453214997152631080778257045625582050499341<159>
prime factors 素因数
5732893558537004168411359072523411016931557323873<49>
70345216003446687136124484671545836459260454811746545269594549105098592857588482143497328594166108248650409517<110>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 403281635700053692700777843429102542440912612890238393664808512460493144112641169714221634225617234832843470383769789453214997152631080778257045625582050499341 (159 digits)
Using B1=63370000, B2=388133141770, polynomial Dickson(30), sigma=1:2197905972
Step 1 took 151422ms
Step 2 took 58713ms
********** Factor found in step 2: 5732893558537004168411359072523411016931557323873
Found prime factor of 49 digits: 5732893558537004168411359072523411016931557323873
Prime cofactor 70345216003446687136124484671545836459260454811746545269594549105098592857588482143497328594166108248650409517 has 110 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMarch 13, 2023 19:04:00 UTC 2023 年 3 月 14 日 (火) 4 時 4 分 0 秒 (日本時間)
2350Ignacio SantosAugust 26, 2023 16:08:11 UTC 2023 年 8 月 27 日 (日) 1 時 8 分 11 秒 (日本時間)

83×10213+259

c178

composite cofactor 合成数の残り
1383250584589970153113298537117616780468216530390177473086691673183970997741019650226324958594435861540139869310764904032628200788748439328804618363765823543611212389535516381913<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 13, 2023 19:04:44 UTC 2023 年 3 月 14 日 (火) 4 時 4 分 44 秒 (日本時間)

83×10214+259

c179

composite cofactor 合成数の残り
21760476122228804938517523890837576583633260861022650096325251406985818660338043762636365933851289545912217366117263911134062563284311942548766294650949264391593675019973975307471<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 13, 2023 19:04:52 UTC 2023 年 3 月 14 日 (火) 4 時 4 分 52 秒 (日本時間)

83×10223+259

c179

name 名前Dmitry Domanov
date 日付March 14, 2023 06:22:35 UTC 2023 年 3 月 14 日 (火) 15 時 22 分 35 秒 (日本時間)
composite number 合成数
10429292149311535848214445401523111091712610190406357000974673578834547096712503391564729638048908125508546533162613129153893580199428425561556395728289001144656619068572056070867<179>
prime factors 素因数
6139957399968227802133084228918903091177<40>
1698593568314578843684226003187823990868105575228464938660193319983463989641233021211728477171937792663810205167798653154454417051880794971<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1017357667
Step 1 took 9427ms
Step 2 took 4573ms
********** Factor found in step 2: 6139957399968227802133084228918903091177
Found prime factor of 40 digits: 6139957399968227802133084228918903091177
Prime cofactor 1698593568314578843684226003187823990868105575228464938660193319983463989641233021211728477171937792663810205167798653154454417051880794971 has 139 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 13, 2023 19:05:00 UTC 2023 年 3 月 14 日 (火) 4 時 5 分 0 秒 (日本時間)

83×10224+259

c193

composite cofactor 合成数の残り
2268343078077037141548926099405649264808264862999708214033109546712030705711959872687820529275373571130226514325000811373821372957910559812290477991250675419086126707738668691619565273301701097<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 14, 2023 00:36:14 UTC 2023 年 3 月 14 日 (火) 9 時 36 分 14 秒 (日本時間)

83×10225+259

c217

composite cofactor 合成数の残り
1820288784506183036595804518470281962288613406713209575769729823796160798549899617296509696097452664682728437635834081758499937032537469576854238143533787355793042163568975698219778896835397957233436788404669208944487<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:18:45 UTC 2023 年 11 月 25 日 (土) 1 時 18 分 45 秒 (日本時間)

83×10226+259

c182

name 名前Dmitry Domanov
date 日付March 14, 2023 04:53:11 UTC 2023 年 3 月 14 日 (火) 13 時 53 分 11 秒 (日本時間)
composite number 合成数
15780438451001881057058334419892550253598206726226434570390725920171807696650373652197061324745520875903504778358146189138449180414779679447877951565723690282131831173293523331150263<182>
prime factors 素因数
614400519196963042402513015749847748849699<42>
25684285670245382734631992827978202945960867775512124401802169186834167284964236405387582662342161040764524023697787100457590941816373708637<140>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3306806005
Step 1 took 14538ms
Step 2 took 9490ms
********** Factor found in step 2: 614400519196963042402513015749847748849699
Found prime factor of 42 digits: 614400519196963042402513015749847748849699
Prime cofactor 25684285670245382734631992827978202945960867775512124401802169186834167284964236405387582662342161040764524023697787100457590941816373708637 has 140 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 14, 2023 00:37:21 UTC 2023 年 3 月 14 日 (火) 9 時 37 分 21 秒 (日本時間)

83×10227+259

c207

composite cofactor 合成数の残り
196123284482073552583051081800278033258014764769177251856428678506688836498708964235170525454573769154598277752274586487434148965142591923277477314991051681126474456355406039802724406990710036979928681805467<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:18:57 UTC 2023 年 11 月 25 日 (土) 1 時 18 分 57 秒 (日本時間)

83×10228+259

c199

composite cofactor 合成数の残り
3618648885281448250856320520004048896641902104253829607022354374766492073873276767217615964956611107645663195222271349089470859340222040754319741754453895562532366050504691850547495355156576102288357<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 14, 2023 00:36:28 UTC 2023 年 3 月 14 日 (火) 9 時 36 分 28 秒 (日本時間)

83×10229+259

c187

composite cofactor 合成数の残り
6871506252054951207654384856970140601250951346827391914609804457265290213721168073821293527209379819624130992911498112223773745160727753037904173867179061143540209397235451690149112194837<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 14, 2023 00:36:38 UTC 2023 年 3 月 14 日 (火) 9 時 36 分 38 秒 (日本時間)

83×10230+259

c191

composite cofactor 合成数の残り
92182950974458837633364173647099628187764345318701826524533526575579978732491578847207799145022277599417988257194542339706728866340693490339503586823939150511285886457978907281562145510520849<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 14, 2023 00:36:45 UTC 2023 年 3 月 14 日 (火) 9 時 36 分 45 秒 (日本時間)

83×10231+259

c182

composite cofactor 合成数の残り
22468940781526313703684589943222498104345034920565635778940812718889342901959102958273713680214302363668055230254847919512613437815601384782526153630094403909401029686355250612440983<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 14, 2023 00:37:14 UTC 2023 年 3 月 14 日 (火) 9 時 37 分 14 秒 (日本時間)

83×10232+259

c154

composite cofactor 合成数の残り
1294790233290475657040937864898147719330267106070641125772880077484824537386224265069571812060152594756059608922088830703860599462029834190294108676556653<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 26, 2023 17:19:20 UTC 2023 年 2 月 27 日 (月) 2 時 19 分 20 秒 (日本時間)
4511e64480Ignacio SantosMarch 4, 2023 12:27:07 UTC 2023 年 3 月 4 日 (土) 21 時 27 分 7 秒 (日本時間)

83×10233+259

c230

composite cofactor 合成数の残り
24316999926756024316999926756024316999926756024316999926756024316999926756024316999926756024316999926756024316999926756024316999926756024316999926756024316999926756024316999926756024316999926756024316999926756024316999926756024317<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:19:05 UTC 2023 年 11 月 25 日 (土) 1 時 19 分 5 秒 (日本時間)

83×10235+259

c116

name 名前Ignacio Santos
date 日付February 23, 2023 15:36:38 UTC 2023 年 2 月 24 日 (金) 0 時 36 分 38 秒 (日本時間)
composite number 合成数
19670100544886279799904692412852715542662169839343049293108520970323888826263500733661983227060978341653073294331291<116>
prime factors 素因数
560229415651166209389387867416067739396349<42>
35110795676487847519753657449592823369805890106954468442497744606357258359<74>
factorization results 素因数分解の結果
-> makeJobFile(): Adjusted to q0=1700000, q1=1800000.
->               client 1 q0: 1700000
      LatSieveTime: 98
        LatSieveTime: 106
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 112
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 141
        LatSieveTime: 144
        LatSieveTime: 147
-> makeJobFile(): Adjusted to q0=1800001, q1=1900000.
->               client 1 q0: 1800001
      LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 150
        LatSieveTime: 150
        LatSieveTime: 151
        LatSieveTime: 151
-> makeJobFile(): Adjusted to q0=1900001, q1=2000000.
->               client 1 q0: 1900001
      LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 116
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 148
        LatSieveTime: 149
-> makeJobFile(): Adjusted to q0=2000001, q1=2100000.
->               client 1 q0: 2000001
      LatSieveTime: 112
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 120
        LatSieveTime: 125
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 143
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 150
        LatSieveTime: 150
        LatSieveTime: 151
        LatSieveTime: 151
        LatSieveTime: 152
        LatSieveTime: 168
-> makeJobFile(): Adjusted to q0=2100001, q1=2200000.
->               client 1 q0: 2100001
      LatSieveTime: 105
        LatSieveTime: 109
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 150
        LatSieveTime: 155
        LatSieveTime: 156
-> makeJobFile(): Adjusted to q0=2200001, q1=2300000.
->               client 1 q0: 2200001
      LatSieveTime: 105
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 118
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 150
        LatSieveTime: 150
        LatSieveTime: 152
        LatSieveTime: 154
-> makeJobFile(): Adjusted to q0=2300001, q1=2400000.
->               client 1 q0: 2300001
      LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 155
        LatSieveTime: 162
-> makeJobFile(): Adjusted to q0=2400001, q1=2500000.
->               client 1 q0: 2400001
      LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 131
        LatSieveTime: 131
        LatSieveTime: 132
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 133
        LatSieveTime: 136
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 144
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 148
        LatSieveTime: 150
        LatSieveTime: 150
        LatSieveTime: 150
        LatSieveTime: 153
Thu Feb 23 16:22:19 2023  
Thu Feb 23 16:22:19 2023  
Thu Feb 23 16:22:19 2023  Msieve v. 1.52 (SVN 927)
Thu Feb 23 16:22:19 2023  random seeds: 6bff05a8 370d12ac
Thu Feb 23 16:22:19 2023  factoring 19670100544886279799904692412852715542662169839343049293108520970323888826263500733661983227060978341653073294331291 (116 digits)
Thu Feb 23 16:22:19 2023  searching for 15-digit factors
Thu Feb 23 16:22:19 2023  commencing number field sieve (116-digit input)
Thu Feb 23 16:22:19 2023  R0: -26735579642943269825955
Thu Feb 23 16:22:19 2023  R1: 1540425552391
Thu Feb 23 16:22:19 2023  A0: -19992963909331913593596691664
Thu Feb 23 16:22:19 2023  A1: 751776908386362159904556
Thu Feb 23 16:22:19 2023  A2: 3760076736162496904
Thu Feb 23 16:22:19 2023  A3: -117935533586099
Thu Feb 23 16:22:19 2023  A4: -226368672
Thu Feb 23 16:22:19 2023  A5: 1440
Thu Feb 23 16:22:19 2023  skew 145070.81, size 5.567e-011, alpha -6.468, combined = 5.791e-010 rroots = 5
Thu Feb 23 16:22:19 2023  
Thu Feb 23 16:22:19 2023  commencing relation filtering
Thu Feb 23 16:22:19 2023  estimated available RAM is 65413.5 MB
Thu Feb 23 16:22:19 2023  commencing duplicate removal, pass 1
Thu Feb 23 16:22:35 2023  found 539408 hash collisions in 7983292 relations
Thu Feb 23 16:22:44 2023  added 61177 free relations
Thu Feb 23 16:22:44 2023  commencing duplicate removal, pass 2
Thu Feb 23 16:22:46 2023  found 355531 duplicates and 7688938 unique relations
Thu Feb 23 16:22:46 2023  memory use: 32.6 MB
Thu Feb 23 16:22:46 2023  reading ideals above 100000
Thu Feb 23 16:22:46 2023  commencing singleton removal, initial pass
Thu Feb 23 16:23:14 2023  memory use: 188.3 MB
Thu Feb 23 16:23:14 2023  reading all ideals from disk
Thu Feb 23 16:23:14 2023  memory use: 262.7 MB
Thu Feb 23 16:23:14 2023  keeping 9348932 ideals with weight <= 200, target excess is 40568
Thu Feb 23 16:23:14 2023  commencing in-memory singleton removal
Thu Feb 23 16:23:15 2023  begin with 7688938 relations and 9348932 unique ideals
Thu Feb 23 16:23:18 2023  reduce to 1222302 relations and 1379355 ideals in 42 passes
Thu Feb 23 16:23:18 2023  max relations containing the same ideal: 57
Thu Feb 23 16:23:18 2023  filtering wants 1000000 more relations
Thu Feb 23 16:23:18 2023  elapsed time 00:00:59
-> makeJobFile(): Adjusted to q0=2500001, q1=2600000.
->               client 1 q0: 2500001
       LatSieveTime: 106
        LatSieveTime: 114
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 132
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 141
        LatSieveTime: 142
        LatSieveTime: 143
        LatSieveTime: 143
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 148
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 149
        LatSieveTime: 150
        LatSieveTime: 150
        LatSieveTime: 152
        LatSieveTime: 155
        LatSieveTime: 156
        LatSieveTime: 162
        LatSieveTime: 162
        LatSieveTime: 167
Thu Feb 23 16:26:11 2023  
Thu Feb 23 16:26:11 2023  
Thu Feb 23 16:26:11 2023  Msieve v. 1.52 (SVN 927)
Thu Feb 23 16:26:11 2023  random seeds: 2734e890 29e4ae07
Thu Feb 23 16:26:11 2023  factoring 19670100544886279799904692412852715542662169839343049293108520970323888826263500733661983227060978341653073294331291 (116 digits)
Thu Feb 23 16:26:11 2023  searching for 15-digit factors
Thu Feb 23 16:26:12 2023  commencing number field sieve (116-digit input)
Thu Feb 23 16:26:12 2023  R0: -26735579642943269825955
Thu Feb 23 16:26:12 2023  R1: 1540425552391
Thu Feb 23 16:26:12 2023  A0: -19992963909331913593596691664
Thu Feb 23 16:26:12 2023  A1: 751776908386362159904556
Thu Feb 23 16:26:12 2023  A2: 3760076736162496904
Thu Feb 23 16:26:12 2023  A3: -117935533586099
Thu Feb 23 16:26:12 2023  A4: -226368672
Thu Feb 23 16:26:12 2023  A5: 1440
Thu Feb 23 16:26:12 2023  skew 145070.81, size 5.567e-011, alpha -6.468, combined = 5.791e-010 rroots = 5
Thu Feb 23 16:26:12 2023  
Thu Feb 23 16:26:12 2023  commencing relation filtering
Thu Feb 23 16:26:12 2023  estimated available RAM is 65413.5 MB
Thu Feb 23 16:26:12 2023  commencing duplicate removal, pass 1
Thu Feb 23 16:26:30 2023  found 671227 hash collisions in 9065440 relations
Thu Feb 23 16:26:40 2023  added 611 free relations
Thu Feb 23 16:26:40 2023  commencing duplicate removal, pass 2
Thu Feb 23 16:26:42 2023  found 439368 duplicates and 8626683 unique relations
Thu Feb 23 16:26:42 2023  memory use: 32.6 MB
Thu Feb 23 16:26:42 2023  reading ideals above 100000
Thu Feb 23 16:26:42 2023  commencing singleton removal, initial pass
Thu Feb 23 16:27:13 2023  memory use: 188.3 MB
Thu Feb 23 16:27:13 2023  reading all ideals from disk
Thu Feb 23 16:27:13 2023  memory use: 295.0 MB
Thu Feb 23 16:27:14 2023  keeping 9844355 ideals with weight <= 200, target excess is 46367
Thu Feb 23 16:27:14 2023  commencing in-memory singleton removal
Thu Feb 23 16:27:14 2023  begin with 8626683 relations and 9844355 unique ideals
Thu Feb 23 16:27:18 2023  reduce to 2467964 relations and 2415820 ideals in 21 passes
Thu Feb 23 16:27:18 2023  max relations containing the same ideal: 85
Thu Feb 23 16:27:18 2023  filtering wants 1000000 more relations
Thu Feb 23 16:27:18 2023  elapsed time 00:01:07
-> makeJobFile(): Adjusted to q0=2600001, q1=2700000.
->               client 1 q0: 2600001
 LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 131
        LatSieveTime: 133
        LatSieveTime: 135
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 137
        LatSieveTime: 137
        LatSieveTime: 138
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 139
        LatSieveTime: 140
        LatSieveTime: 141
        LatSieveTime: 140
        LatSieveTime: 142
        LatSieveTime: 142
        LatSieveTime: 144
        LatSieveTime: 143
        LatSieveTime: 145
        LatSieveTime: 145
        LatSieveTime: 146
        LatSieveTime: 146
        LatSieveTime: 147
        LatSieveTime: 147
        LatSieveTime: 148
        LatSieveTime: 150
        LatSieveTime: 151
        LatSieveTime: 151
        LatSieveTime: 152
        LatSieveTime: 156
        LatSieveTime: 156
        LatSieveTime: 156
        LatSieveTime: 157
        LatSieveTime: 165
Thu Feb 23 16:30:09 2023  
Thu Feb 23 16:30:09 2023  
Thu Feb 23 16:30:09 2023  Msieve v. 1.52 (SVN 927)
Thu Feb 23 16:30:09 2023  random seeds: 618dba90 247a628c
Thu Feb 23 16:30:09 2023  factoring 19670100544886279799904692412852715542662169839343049293108520970323888826263500733661983227060978341653073294331291 (116 digits)
Thu Feb 23 16:30:10 2023  searching for 15-digit factors
Thu Feb 23 16:30:10 2023  commencing number field sieve (116-digit input)
Thu Feb 23 16:30:10 2023  R0: -26735579642943269825955
Thu Feb 23 16:30:10 2023  R1: 1540425552391
Thu Feb 23 16:30:10 2023  A0: -19992963909331913593596691664
Thu Feb 23 16:30:10 2023  A1: 751776908386362159904556
Thu Feb 23 16:30:10 2023  A2: 3760076736162496904
Thu Feb 23 16:30:10 2023  A3: -117935533586099
Thu Feb 23 16:30:10 2023  A4: -226368672
Thu Feb 23 16:30:10 2023  A5: 1440
Thu Feb 23 16:30:10 2023  skew 145070.81, size 5.567e-011, alpha -6.468, combined = 5.791e-010 rroots = 5
Thu Feb 23 16:30:10 2023  
Thu Feb 23 16:30:10 2023  commencing relation filtering
Thu Feb 23 16:30:10 2023  estimated available RAM is 65413.5 MB
Thu Feb 23 16:30:10 2023  commencing duplicate removal, pass 1
Thu Feb 23 16:30:30 2023  found 811822 hash collisions in 10092076 relations
Thu Feb 23 16:30:40 2023  added 437 free relations
Thu Feb 23 16:30:40 2023  commencing duplicate removal, pass 2
Thu Feb 23 16:30:43 2023  found 531247 duplicates and 9561266 unique relations
Thu Feb 23 16:30:43 2023  memory use: 32.6 MB
Thu Feb 23 16:30:43 2023  reading ideals above 100000
Thu Feb 23 16:30:43 2023  commencing singleton removal, initial pass
Thu Feb 23 16:31:18 2023  memory use: 344.5 MB
Thu Feb 23 16:31:18 2023  reading all ideals from disk
Thu Feb 23 16:31:18 2023  memory use: 327.2 MB
Thu Feb 23 16:31:18 2023  keeping 10286180 ideals with weight <= 200, target excess is 52189
Thu Feb 23 16:31:19 2023  commencing in-memory singleton removal
Thu Feb 23 16:31:19 2023  begin with 9561266 relations and 10286180 unique ideals
Thu Feb 23 16:31:23 2023  reduce to 3608497 relations and 3251027 ideals in 19 passes
Thu Feb 23 16:31:23 2023  max relations containing the same ideal: 103
Thu Feb 23 16:31:24 2023  removing 878007 relations and 729542 ideals in 148465 cliques
Thu Feb 23 16:31:24 2023  commencing in-memory singleton removal
Thu Feb 23 16:31:25 2023  begin with 2730490 relations and 3251027 unique ideals
Thu Feb 23 16:31:25 2023  reduce to 2558292 relations and 2339755 ideals in 10 passes
Thu Feb 23 16:31:25 2023  max relations containing the same ideal: 82
Thu Feb 23 16:31:26 2023  removing 667552 relations and 519087 ideals in 148465 cliques
Thu Feb 23 16:31:26 2023  commencing in-memory singleton removal
Thu Feb 23 16:31:26 2023  begin with 1890740 relations and 2339755 unique ideals
Thu Feb 23 16:31:26 2023  reduce to 1746036 relations and 1667157 ideals in 10 passes
Thu Feb 23 16:31:26 2023  max relations containing the same ideal: 62
Thu Feb 23 16:31:27 2023  removing 133739 relations and 115400 ideals in 18339 cliques
Thu Feb 23 16:31:27 2023  commencing in-memory singleton removal
Thu Feb 23 16:31:27 2023  begin with 1612297 relations and 1667157 unique ideals
Thu Feb 23 16:31:27 2023  reduce to 1605397 relations and 1544770 ideals in 9 passes
Thu Feb 23 16:31:27 2023  max relations containing the same ideal: 59
Thu Feb 23 16:31:27 2023  relations with 0 large ideals: 191
Thu Feb 23 16:31:27 2023  relations with 1 large ideals: 1144
Thu Feb 23 16:31:27 2023  relations with 2 large ideals: 12689
Thu Feb 23 16:31:27 2023  relations with 3 large ideals: 76374
Thu Feb 23 16:31:27 2023  relations with 4 large ideals: 245831
Thu Feb 23 16:31:27 2023  relations with 5 large ideals: 441821
Thu Feb 23 16:31:27 2023  relations with 6 large ideals: 453543
Thu Feb 23 16:31:27 2023  relations with 7+ large ideals: 373804
Thu Feb 23 16:31:27 2023  commencing 2-way merge
Thu Feb 23 16:31:27 2023  reduce to 903739 relation sets and 843112 unique ideals
Thu Feb 23 16:31:27 2023  commencing full merge
Thu Feb 23 16:31:36 2023  memory use: 96.7 MB
Thu Feb 23 16:31:36 2023  found 457318 cycles, need 449312
Thu Feb 23 16:31:36 2023  weight of 449312 cycles is about 31648128 (70.44/cycle)
Thu Feb 23 16:31:36 2023  distribution of cycle lengths:
Thu Feb 23 16:31:36 2023  1 relations: 50702
Thu Feb 23 16:31:36 2023  2 relations: 48260
Thu Feb 23 16:31:36 2023  3 relations: 48687
Thu Feb 23 16:31:36 2023  4 relations: 45583
Thu Feb 23 16:31:36 2023  5 relations: 43144
Thu Feb 23 16:31:36 2023  6 relations: 37733
Thu Feb 23 16:31:36 2023  7 relations: 34074
Thu Feb 23 16:31:36 2023  8 relations: 29388
Thu Feb 23 16:31:36 2023  9 relations: 25629
Thu Feb 23 16:31:36 2023  10+ relations: 86112
Thu Feb 23 16:31:36 2023  heaviest cycle: 19 relations
Thu Feb 23 16:31:36 2023  commencing cycle optimization
Thu Feb 23 16:31:36 2023  start with 2679154 relations
Thu Feb 23 16:31:39 2023  pruned 53016 relations
Thu Feb 23 16:31:39 2023  memory use: 91.7 MB
Thu Feb 23 16:31:39 2023  distribution of cycle lengths:
Thu Feb 23 16:31:39 2023  1 relations: 50702
Thu Feb 23 16:31:39 2023  2 relations: 49195
Thu Feb 23 16:31:39 2023  3 relations: 50116
Thu Feb 23 16:31:39 2023  4 relations: 46482
Thu Feb 23 16:31:39 2023  5 relations: 44041
Thu Feb 23 16:31:39 2023  6 relations: 38269
Thu Feb 23 16:31:39 2023  7 relations: 34499
Thu Feb 23 16:31:39 2023  8 relations: 29467
Thu Feb 23 16:31:39 2023  9 relations: 25514
Thu Feb 23 16:31:39 2023  10+ relations: 81027
Thu Feb 23 16:31:39 2023  heaviest cycle: 19 relations
Thu Feb 23 16:31:40 2023  RelProcTime: 90
Thu Feb 23 16:31:40 2023  elapsed time 00:01:31
Thu Feb 23 16:31:40 2023  
Thu Feb 23 16:31:40 2023  
Thu Feb 23 16:31:40 2023  Msieve v. 1.52 (SVN 927)
Thu Feb 23 16:31:40 2023  random seeds: 63fd9054 d431bf57
Thu Feb 23 16:31:40 2023  factoring 19670100544886279799904692412852715542662169839343049293108520970323888826263500733661983227060978341653073294331291 (116 digits)
Thu Feb 23 16:31:40 2023  searching for 15-digit factors
Thu Feb 23 16:31:40 2023  commencing number field sieve (116-digit input)
Thu Feb 23 16:31:40 2023  R0: -26735579642943269825955
Thu Feb 23 16:31:40 2023  R1: 1540425552391
Thu Feb 23 16:31:40 2023  A0: -19992963909331913593596691664
Thu Feb 23 16:31:40 2023  A1: 751776908386362159904556
Thu Feb 23 16:31:40 2023  A2: 3760076736162496904
Thu Feb 23 16:31:40 2023  A3: -117935533586099
Thu Feb 23 16:31:40 2023  A4: -226368672
Thu Feb 23 16:31:40 2023  A5: 1440
Thu Feb 23 16:31:40 2023  skew 145070.81, size 5.567e-011, alpha -6.468, combined = 5.791e-010 rroots = 5
Thu Feb 23 16:31:40 2023  
Thu Feb 23 16:31:40 2023  commencing linear algebra
Thu Feb 23 16:31:40 2023  read 449312 cycles
Thu Feb 23 16:31:41 2023  cycles contain 1553644 unique relations
Thu Feb 23 16:31:44 2023  read 1553644 relations
Thu Feb 23 16:31:46 2023  using 20 quadratic characters above 134216120
Thu Feb 23 16:31:50 2023  building initial matrix
Thu Feb 23 16:31:57 2023  memory use: 195.0 MB
Thu Feb 23 16:31:57 2023  read 449312 cycles
Thu Feb 23 16:31:57 2023  matrix is 449135 x 449312 (135.1 MB) with weight 42490832 (94.57/col)
Thu Feb 23 16:31:57 2023  sparse part has weight 30462434 (67.80/col)
Thu Feb 23 16:31:59 2023  filtering completed in 2 passes
Thu Feb 23 16:31:59 2023  matrix is 448504 x 448681 (135.0 MB) with weight 42466748 (94.65/col)
Thu Feb 23 16:31:59 2023  sparse part has weight 30455478 (67.88/col)
Thu Feb 23 16:32:00 2023  matrix starts at (0, 0)
Thu Feb 23 16:32:00 2023  matrix is 448504 x 448681 (135.0 MB) with weight 42466748 (94.65/col)
Thu Feb 23 16:32:00 2023  sparse part has weight 30455478 (67.88/col)
Thu Feb 23 16:32:00 2023  saving the first 48 matrix rows for later
Thu Feb 23 16:32:00 2023  matrix includes 64 packed rows
Thu Feb 23 16:32:00 2023  matrix is 448456 x 448681 (130.0 MB) with weight 33784601 (75.30/col)
Thu Feb 23 16:32:00 2023  sparse part has weight 29586511 (65.94/col)
Thu Feb 23 16:32:00 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Thu Feb 23 16:32:02 2023  commencing Lanczos iteration (32 threads)
Thu Feb 23 16:32:02 2023  memory use: 100.2 MB
Thu Feb 23 16:32:07 2023  linear algebra at 2.7%, ETA 0h 2m
Thu Feb 23 16:35:04 2023  lanczos halted after 7093 iterations (dim = 448453)
Thu Feb 23 16:35:04 2023  recovered 29 nontrivial dependencies
Thu Feb 23 16:35:04 2023  BLanczosTime: 204
Thu Feb 23 16:35:04 2023  elapsed time 00:03:24
Thu Feb 23 16:35:04 2023  
Thu Feb 23 16:35:04 2023  
Thu Feb 23 16:35:04 2023  Msieve v. 1.52 (SVN 927)
Thu Feb 23 16:35:04 2023  random seeds: a9808c40 6de3d912
Thu Feb 23 16:35:04 2023  factoring 19670100544886279799904692412852715542662169839343049293108520970323888826263500733661983227060978341653073294331291 (116 digits)
Thu Feb 23 16:35:05 2023  searching for 15-digit factors
Thu Feb 23 16:35:05 2023  commencing number field sieve (116-digit input)
Thu Feb 23 16:35:05 2023  R0: -26735579642943269825955
Thu Feb 23 16:35:05 2023  R1: 1540425552391
Thu Feb 23 16:35:05 2023  A0: -19992963909331913593596691664
Thu Feb 23 16:35:05 2023  A1: 751776908386362159904556
Thu Feb 23 16:35:05 2023  A2: 3760076736162496904
Thu Feb 23 16:35:05 2023  A3: -117935533586099
Thu Feb 23 16:35:05 2023  A4: -226368672
Thu Feb 23 16:35:05 2023  A5: 1440
Thu Feb 23 16:35:05 2023  skew 145070.81, size 5.567e-011, alpha -6.468, combined = 5.791e-010 rroots = 5
Thu Feb 23 16:35:05 2023  
Thu Feb 23 16:35:05 2023  commencing square root phase
Thu Feb 23 16:35:05 2023  reading relations for dependency 1
Thu Feb 23 16:35:05 2023  read 224368 cycles
Thu Feb 23 16:35:05 2023  cycles contain 775676 unique relations
Thu Feb 23 16:35:07 2023  read 775676 relations
Thu Feb 23 16:35:09 2023  multiplying 775676 relations
Thu Feb 23 16:35:23 2023  multiply complete, coefficients have about 31.53 million bits
Thu Feb 23 16:35:23 2023  initial square root is modulo 1137873017
Thu Feb 23 16:35:41 2023  GCD is N, no factor found
Thu Feb 23 16:35:41 2023  reading relations for dependency 2
Thu Feb 23 16:35:41 2023  read 224324 cycles
Thu Feb 23 16:35:41 2023  cycles contain 776620 unique relations
Thu Feb 23 16:35:44 2023  read 776620 relations
Thu Feb 23 16:35:45 2023  multiplying 776620 relations
Thu Feb 23 16:36:00 2023  multiply complete, coefficients have about 31.57 million bits
Thu Feb 23 16:36:00 2023  initial square root is modulo 1167006571
Thu Feb 23 16:36:18 2023  sqrtTime: 73
Thu Feb 23 16:36:18 2023  prp42 factor: 560229415651166209389387867416067739396349
Thu Feb 23 16:36:18 2023  prp74 factor: 35110795676487847519753657449592823369805890106954468442497744606357258359
Thu Feb 23 16:36:18 2023  elapsed time 00:01:14
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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)

83×10237+259

c228

composite cofactor 合成数の残り
515802893035670400492808772933701444643948147818562528483729115736869674985029399754271159960708826483876176423992928716448940726849702744338598599083413007829293033968996684913521822292755657757921535253852292045187435083224897<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:19:13 UTC 2023 年 11 月 25 日 (土) 1 時 19 分 13 秒 (日本時間)

83×10238+259

c168

name 名前Dmitry Domanov
date 日付March 14, 2023 04:54:04 UTC 2023 年 3 月 14 日 (火) 13 時 54 分 4 秒 (日本時間)
composite number 合成数
232043395074514166302631885702436577404017260488303745990718020095765102425555705531849178631565265692870706836411109621025569068573988656183346204206514867426793938613<168>
prime factors 素因数
242189754864596920667036437930773685997<39>
958105743177471046434061630353912284305876966865481835823570570600781660509622940680579019642463413239197213074336550792307185129<129>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2734355523
Step 1 took 8184ms
Step 2 took 4370ms
********** Factor found in step 2: 242189754864596920667036437930773685997
Found prime factor of 39 digits: 242189754864596920667036437930773685997
Prime cofactor 958105743177471046434061630353912284305876966865481835823570570600781660509622940680579019642463413239197213074336550792307185129 has 129 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 13, 2023 19:04:18 UTC 2023 年 3 月 14 日 (火) 4 時 4 分 18 秒 (日本時間)

83×10239+259

c160

name 名前Ignacio Santos
date 日付March 8, 2023 08:52:26 UTC 2023 年 3 月 8 日 (水) 17 時 52 分 26 秒 (日本時間)
composite number 合成数
2050224283908982105757539865705630529075833800778280751324274535202018083325694525499547838378026380723234916944731657715924471284451451357084313145268371387443<160>
prime factors 素因数
31805331839237256412207364779617143889591424331<47>
64461653608018127148883904900079391899009394132845267553191227974736042147531667959657430975440066826069824000953<113>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2304535652
Step 1 took 23953ms
Step 2 took 10172ms
********** Factor found in step 2: 31805331839237256412207364779617143889591424331
Found prime factor of 47 digits: 31805331839237256412207364779617143889591424331
Prime cofactor 64461653608018127148883904900079391899009394132845267553191227974736042147531667959657430975440066826069824000953 has 113 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 JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 1, 2023 09:54:14 UTC 2023 年 3 月 1 日 (水) 18 時 54 分 14 秒 (日本時間)

83×10240+259

c205

composite cofactor 合成数の残り
5336412690359750414643829071655015609589308964104598774161709961097888613974652837579775407717947078756758673436653226441434883134416231843843137924837923386567947311163754685821946347099606795521453647987<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:19:22 UTC 2023 年 11 月 25 日 (土) 1 時 19 分 22 秒 (日本時間)

83×10241+259

c236

composite cofactor 合成数の残り
42261606984876200223273670636966431300066320172406989458784113200005600935865465520511518197313332900533743729179475625108995484881928453136078555671393092773137911589227363626758725685255409040165074855234901977257654506271138759367247<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:19:31 UTC 2023 年 11 月 25 日 (土) 1 時 19 分 31 秒 (日本時間)

83×10244+259

c240

composite cofactor 合成数の残り
999969880425288394927863618565705852233366464865516098912683352911056895876630221981265624529381645131170747869040089153941146351013523689045510677389235263998072347218457275383271588205174542935453751393030330411734586307641336104334206801<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:19:39 UTC 2023 年 11 月 25 日 (土) 1 時 19 分 39 秒 (日本時間)

83×10246+259

c204

composite cofactor 合成数の残り
194380603844917740395992262660470519642837649942662801615904681698146877309968697173718364268721848995197927286163476972839280759177235460356787097691605365844583222794642880907241948653610575999961660527<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:19:49 UTC 2023 年 11 月 25 日 (土) 1 時 19 分 49 秒 (日本時間)

83×10247+259

c244

composite cofactor 合成数の残り
2875205681129297653070061487832337403654628907941456655408331168268814410669437949250887676452758292197107473802719321035766865852602407551745042002251667099679570451199445743483155798042781674893911838572789469126179960162812851822984324932883<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:19:56 UTC 2023 年 11 月 25 日 (土) 1 時 19 分 56 秒 (日本時間)

83×10248+259

c217

composite cofactor 合成数の残り
4133722661866455120097431896547230164345538872300939357578384606940938732743861973432447683441888535310762507055140209417542623287023471023261632061917670527288083858719842036046702024832447877631066133779965068624209<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:20:04 UTC 2023 年 11 月 25 日 (土) 1 時 20 分 4 秒 (日本時間)

83×10249+259

c219

name 名前Seth Troisi
date 日付January 3, 2024 22:30:01 UTC 2024 年 1 月 4 日 (木) 7 時 30 分 1 秒 (日本時間)
composite number 合成数
739491902491170536093220404116777778427135277851224613044131664784632919782207456764098482847538963637271109970936015907505576541924423565874168796220472938822942739945690396042133621962521699447436720274677245151131751<219>
prime factors 素因数
2292150837700516662493153745812430878789<40>
322619214376409906736907493782407580565103631420287871487753347009008324678689262403039711299960691487646665337122295042880316919770981769372564141097592155339989011858341077468859<180>
factorization results 素因数分解の結果
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Nov 24 02:53:40 2023
Input number is 739491902491170536093220404116777778427135277851224613044131664784632919782207456764098482847538963637271109970936015907505576541924423565874168796220472938822942739945690396042133621962521699447436720274677245151131751 (219 digits)
Using mpz_mod
Using lmax = 67108864 with NTT which takes about 20736MB of memory
Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1
P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20
Probability of finding a factor of n digits (assuming one exists):
20  25      30      35      40      45      50      55      60      65
0.82    0.56    0.31    0.14    0.057   0.02    0.0066  0.002   0.00053 0.00014
Step 1 took 0ms
Computing F from factored S_1 took 200640ms
Computing h took 24444ms
Computing DCT-I of h took 61114ms
Multi-point evaluation 1 of 2:
Computing g_i took 80340ms
Computing g*h took 122727ms
Computing gcd of coefficients and N took 26977ms
Step 2 took 518505ms
********** Factor found in step 2: 2292150837700516662493153745812430878789
Found prime factor of 40 digits: 2292150837700516662493153745812430878789
Prime cofactor 322619214376409906736907493782407580565103631420287871487753347009008324678689262403039711299960691487646665337122295042880316919770981769372564141097592155339989011858341077468859 has 180 digits
Peak memory usage: 21503MB
software ソフトウェア
GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境
1080 Ti for PM1 stage1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:20:13 UTC 2023 年 11 月 25 日 (土) 1 時 20 分 13 秒 (日本時間)

83×10251+259

c190

composite cofactor 合成数の残り
6407534955718958321743095964604363735997658714375880424499315242192129607949780699536009067530152259449383979438417331706120609510109705869077324982899170899184247318773693867050526429652313<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 14, 2023 00:36:57 UTC 2023 年 3 月 14 日 (火) 9 時 36 分 57 秒 (日本時間)

83×10252+259

c252

composite cofactor 合成数の残り
122962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:20:23 UTC 2023 年 11 月 25 日 (土) 1 時 20 分 23 秒 (日本時間)

83×10256+259

c192

composite cofactor 合成数の残り
699586135880312877248256907684690428020941662346807983077035517575951170403647302289392140334892313923632785729423927223567007722396391799735156824036556465927181717941259853025831389176993333<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMarch 14, 2023 00:37:05 UTC 2023 年 3 月 14 日 (火) 9 時 37 分 5 秒 (日本時間)

83×10258+259

c216

composite cofactor 合成数の残り
347351027663144107663854992180420002024239230647979052558854131530602635336394237155151581014950364401122422974340700902277685034999775361537529356027778672502436174305867003065689272469144927771218850832931876966969<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:21:37 UTC 2023 年 11 月 25 日 (土) 1 時 21 分 37 秒 (日本時間)

83×10259+259

c228

composite cofactor 合成数の残り
144380815431065198976993436818745063795174579939236138615601074407382880702452333834323372327651139708141718724279584553111060340996706662080496618331729387347333042469677137024213368028294893317522100549740259156567022671077229<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:21:45 UTC 2023 年 11 月 25 日 (土) 1 時 21 分 45 秒 (日本時間)

83×10260+259

c246

composite cofactor 合成数の残り
110439919428099843953591613187001995385762758800892803364877571291625489914778199189032208464512768542079308962591479399713748538209677354342547594321373058331108737917308252717099028183798299863939111326738117157609479640686624271978165678496473<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:21:53 UTC 2023 年 11 月 25 日 (土) 1 時 21 分 53 秒 (日本時間)

83×10261+259

c238

composite cofactor 合成数の残り
3319203390159713083575172940091766971929470513803001195658481393866211857176875021039273964118095532602095536979641588692546202274833308354842842550446022807486750284914191834773297156892816094734107925265787100606467988165561329581804763<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:22:02 UTC 2023 年 11 月 25 日 (土) 1 時 22 分 2 秒 (日本時間)

83×10264+259

c222

composite cofactor 合成数の残り
362861166684857831231709925186487874430873834769434808215263039732004579006267066472712655181861963038726872341150319251695260235907022906904117047768034724336495718667542948834781810028346678081487564814154875417487136609<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:22:10 UTC 2023 年 11 月 25 日 (土) 1 時 22 分 10 秒 (日本時間)

83×10265+259

c246

name 名前Dmitry Domanov
date 日付November 25, 2023 22:12:50 UTC 2023 年 11 月 26 日 (日) 7 時 12 分 50 秒 (日本時間)
composite number 合成数
116017801847417458226542691479951029511033123228474218371555631326183214105922291834701885888275822999448670837291659672949851566840926768986755485541199548231389995031878886708345003836947137238210739863952452931537008237382284124590391656541241<246>
prime factors 素因数
1102914963960756066449258012035178079003089<43>
105191973668375765233751811645265323520924966177471964620448888762731729640548698881414269468792319069486694507412944925919504108023852031619008531231741244051264431048197256227502635694158244491293332969<204>
factorization results 素因数分解の結果
Resuming ECM residue saved by @60947172f4a5 with GMP-ECM 7.0.5-dev on Sat Nov 25 08:18:21 2023 
Input number is 116017801847417458226542691479951029511033123228474218371555631326183214105922291834701885888275822999448670837291659672949851566840926768986755485541199548231389995031878886708345003836947137238210739863952452931537008237382284124590391656541241 (246 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1682470271
Step 1 took 0ms
Step 2 took 6419ms
********** Factor found in step 2: 1102914963960756066449258012035178079003089
Found prime factor of 43 digits: 1102914963960756066449258012035178079003089
Prime cofactor 105191973668375765233751811645265323520924966177471964620448888762731729640548698881414269468792319069486694507412944925919504108023852031619008531231741244051264431048197256227502635694158244491293332969 has 204 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:22:18 UTC 2023 年 11 月 25 日 (土) 1 時 22 分 18 秒 (日本時間)

83×10271+259

c267

composite cofactor 合成数の残り
461168757205761831340028614687947104499173507799586059368532177633315275520551180008612187634565431790084871720076120626189384784209137253267769582308899723576558180883721576308149629814837965856843216513175258018363406536928227139503549054742953980358655943103999111<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:22:29 UTC 2023 年 11 月 25 日 (土) 1 時 22 分 29 秒 (日本時間)

83×10272+259

c231

composite cofactor 合成数の残り
139958853115914694998855228140559717199416472550872405049418600925790226748084345914202078196136752747864876635788000927044473987932486379944228208891429386391034855203291327615814160951946783046971252798016139957809297697542028679<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:22:37 UTC 2023 年 11 月 25 日 (土) 1 時 22 分 37 秒 (日本時間)

83×10273+259

c221

composite cofactor 合成数の残り
81316105087027792131699408750790975017072592081488498539366380713958099155773932020893508602410911165374803688548523722836893331736127987093436237281193825936085039912483152865266103368727784499699658180511036398673754277<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:22:46 UTC 2023 年 11 月 25 日 (土) 1 時 22 分 46 秒 (日本時間)

83×10276+259

c265

composite cofactor 合成数の残り
6389454982519073918367126540833648659773629934389942731449574388446360892044637748669862765454286599483023528070258986889027621134955514720178866719636020979951591605433408510838304003952719405607383513700627461091673874145046951812213354606212621754736679924585777<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:22:54 UTC 2023 年 11 月 25 日 (土) 1 時 22 分 54 秒 (日本時間)

83×10277+259

c272

name 名前Dmitry Domanov
date 日付November 27, 2023 21:27:17 UTC 2023 年 11 月 28 日 (火) 6 時 27 分 17 秒 (日本時間)
composite number 合成数
56571976764594121626342093469855826658010472631602264923840828268267040178031329288096199624103070052124601482799222305717007206111136670739167403635942289767799298984601176083685630206709231967256412484685522856271395538652121534327432467202737265767308554125920359606927<272>
prime factors 素因数
1076541135986848952392996540148839922893<40>
52549758549389241362683653602748322490538963998762232069400685459476793568808343081608754721495353724762565132478578031158895527918321434246936730220595221627094671170911154961508305353968950833848035727278845851581396430343047873739<233>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ece2db429d49 with GMP-ECM 7.0.5-dev on Sat Nov 25 11:06:00 2023 
Input number is 56571976764594121626342093469855826658010472631602264923840828268267040178031329288096199624103070052124601482799222305717007206111136670739167403635942289767799298984601176083685630206709231967256412484685522856271395538652121534327432467202737265767308554125920359606927 (272 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3678488997
Step 1 took 0ms
Step 2 took 7424ms
********** Factor found in step 2: 1076541135986848952392996540148839922893
Found prime factor of 40 digits: 1076541135986848952392996540148839922893
Prime cofactor 52549758549389241362683653602748322490538963998762232069400685459476793568808343081608754721495353724762565132478578031158895527918321434246936730220595221627094671170911154961508305353968950833848035727278845851581396430343047873739 has 233 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:23:01 UTC 2023 年 11 月 25 日 (土) 1 時 23 分 1 秒 (日本時間)

83×10278+259

c244

composite cofactor 合成数の残り
6882039286570153217231747723325780525456699491160287705920069916216756376921867481225770822008141352455192725707713342515782605360675471684696746976360534394086414929166399943253500417823012060120293559166616735624926299590052688802752915650547<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:23:11 UTC 2023 年 11 月 25 日 (土) 1 時 23 分 11 秒 (日本時間)

83×10279+259

c238

name 名前Dmitry Domanov
date 日付November 24, 2023 20:47:03 UTC 2023 年 11 月 25 日 (土) 5 時 47 分 3 秒 (日本時間)
composite number 合成数
2013699039002365338851548782642325830009905019399520801871197029659953715800224712935511810163118458244807827759338252408462736914246663347486843380008098374510119443609891527592204270010170135181992027523951667395161044406872451941304931<238>
prime factors 素因数
50174468341164686230109613796311375661099<41>
composite cofactor 合成数の残り
40133938745699958781752969453603306249943655121996487560127275269400531509474285160617598702485654929319986852672164517646091660021308372405998540158460613034744315012085637145797624349793804300969<197>
factorization results 素因数分解の結果
Resuming ECM residue saved by @8bfe0a4ddf19 with GMP-ECM 7.0.5-dev on Fri Nov 24 19:30:41 2023 
Input number is 2013699039002365338851548782642325830009905019399520801871197029659953715800224712935511810163118458244807827759338252408462736914246663347486843380008098374510119443609891527592204270010170135181992027523951667395161044406872451941304931 (238 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3863963612
Step 1 took 0ms
Step 2 took 8376ms
********** Factor found in step 2: 50174468341164686230109613796311375661099
Found prime factor of 41 digits: 50174468341164686230109613796311375661099
Composite cofactor 40133938745699958781752969453603306249943655121996487560127275269400531509474285160617598702485654929319986852672164517646091660021308372405998540158460613034744315012085637145797624349793804300969 has 197 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:23:19 UTC 2023 年 11 月 25 日 (土) 1 時 23 分 19 秒 (日本時間)

83×10280+259

c165

composite cofactor 合成数の残り
334976895160689057397256865203221730593739470386180195366891401222803745444636078776912132699934095895206221969605948164015112581229477750749800353646908548419142699<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMarch 1, 2023 10:26:00 UTC 2023 年 3 月 1 日 (水) 19 時 26 分 0 秒 (日本時間)
4511e64480Ignacio SantosMarch 9, 2023 08:44:55 UTC 2023 年 3 月 9 日 (木) 17 時 44 分 55 秒 (日本時間)

83×10281+259

c245

composite cofactor 合成数の残り
18084994512822146800553097690498093616092058149941302599429360388933289936034953448901247464714494914417418546755563350550871898598947987644921412041477892694422742997159235465254431793992200167396103839372263135212507229954292997609248153692709<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:23:27 UTC 2023 年 11 月 25 日 (土) 1 時 23 分 27 秒 (日本時間)

83×10282+259

c219

composite cofactor 合成数の残り
281495616466593596212063956023807192258595863954020518965691877489298164121274722650427174997669293014365206614476128617648088676774546827469142906676713347652141583055017803286445169385269118024147351619460052829865763<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:23:35 UTC 2023 年 11 月 25 日 (土) 1 時 23 分 35 秒 (日本時間)

83×10283+259

c220

composite cofactor 合成数の残り
7150806183929796052548184732928201377191043593080180573128378906436567472867753100035130645662382055545009969112053903461938590918288175545471057992433941623575206415031959532910240712553633463394601224357659112928905129<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:23:43 UTC 2023 年 11 月 25 日 (土) 1 時 23 分 43 秒 (日本時間)

83×10284+259

c260

name 名前Dmitry Domanov
date 日付November 27, 2023 10:52:29 UTC 2023 年 11 月 27 日 (月) 19 時 52 分 29 秒 (日本時間)
composite number 合成数
61047632510492778648473477706384856481530468949135314012321501189016004263686329266339399566096191001354526053650310127982949976144957368350170909164212370844292009499199563303417714297311835496226553143481379910964331818980591741517776911716109978201607011999<260>
prime factors 素因数
9204330415100463778841195663968367897<37>
composite cofactor 合成数の残り
6632490334151748680610233014785103695851423997316008663049322243072737316790908854749096902587889596583433410317758011536350470866486459997211794518112472364457803572774885158729374928223390353974535555029247882668838555767<223>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ece2db429d49 with GMP-ECM 7.0.5-dev on Sat Nov 25 10:52:38 2023 
Input number is 61047632510492778648473477706384856481530468949135314012321501189016004263686329266339399566096191001354526053650310127982949976144957368350170909164212370844292009499199563303417714297311835496226553143481379910964331818980591741517776911716109978201607011999 (260 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2946137878
Step 1 took 0ms
Step 2 took 6940ms
********** Factor found in step 2: 9204330415100463778841195663968367897
Found prime factor of 37 digits: 9204330415100463778841195663968367897
Composite cofactor 6632490334151748680610233014785103695851423997316008663049322243072737316790908854749096902587889596583433410317758011536350470866486459997211794518112472364457803572774885158729374928223390353974535555029247882668838555767 has 223 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:23:51 UTC 2023 年 11 月 25 日 (土) 1 時 23 分 51 秒 (日本時間)

83×10285+259

c257

composite cofactor 合成数の残り
57953148502477072001181952314744006752331876360712377897715811014040741085877865424354868392526640399152657059107964801754652219198730386334139878200019511516492417675317132673985016240780439138322625693468904713797922317934982246433434950132254680836101621<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:24:00 UTC 2023 年 11 月 25 日 (土) 1 時 24 分 0 秒 (日本時間)

83×10290+259

c282

composite cofactor 合成数の残り
617860113444290476309608340577045279303357213459225755732573594672007628145625169724265613097556499664419142812255479417509847057159357570418601175980970221158021451645326773996375249203501546512238561030445658200860914743721758221373684407628393513624877215888532616231486293935593<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:24:27 UTC 2023 年 11 月 25 日 (土) 1 時 24 分 27 秒 (日本時間)

83×10291+259

c266

composite cofactor 合成数の残り
12249448001815341138002433553139790270927520190965196526776197650519027523883711964614395880244496504422959101331713699804228123054249539868271193691040336868710272317169230419423892570357447618928160208345455277202912745060612600093536199829303199650406655176364239<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:24:35 UTC 2023 年 11 月 25 日 (土) 1 時 24 分 35 秒 (日本時間)

83×10292+259

c266

composite cofactor 合成数の残り
28551689997230108650875521351906131876712971403813801528250707432924922110271109299979528967925375551777527074917844265012670012056764735921244894292551837552410635127941994065173758512477708778014063907765256761163952689018377038473888574869933458813101413875970033<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:24:47 UTC 2023 年 11 月 25 日 (土) 1 時 24 分 47 秒 (日本時間)

83×10293+259

c262

composite cofactor 合成数の残り
2100410681309944595053927987940232997123689514660270936867015860494958029077326664799830989531322428424613546584687336198977050240066600754754081037201732201040264922179927745172581987731096583308593108146812998286572881986844454845290601049128930965360622710959<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:24:55 UTC 2023 年 11 月 25 日 (土) 1 時 24 分 55 秒 (日本時間)

83×10294+259

c252

composite cofactor 合成数の残り
340520371842927834533582992219746952844262718051582818938336931268000071073763350582236305651756594071254886820470205509411675957481071344788413314931072628711089616891840553147934698646761337598397771666119617912191478781296817182733179943547912515609<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:25:03 UTC 2023 年 11 月 25 日 (土) 1 時 25 分 3 秒 (日本時間)

83×10296+259

c252

composite cofactor 合成数の残り
427705243947551392127233614996996065948177782630989186632112705443528002775661993487886886256774671051387691793659775206377360894497538967736364411055723403004825222804570255964228215162503854408184200954189812548865092336991260965767610847215155968179<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:25:11 UTC 2023 年 11 月 25 日 (土) 1 時 25 分 11 秒 (日本時間)

83×10297+259

c257

composite cofactor 合成数の残り
90970316975641538114357672363150611647763515983744390560605751914375681586862649360728641885665415259028040039778097438486644116831857644944174162938761911181295342459622851227129962287316667008960288454720206041540907327889003146512703165795943205157290419<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovNovember 24, 2023 16:25:21 UTC 2023 年 11 月 25 日 (土) 1 時 25 分 21 秒 (日本時間)

83×10300+259

c251

composite cofactor 合成数の残り
64109841927491245011746648258905959649320501219545582595746080624649745140189762492871870597716372510310663263028322162232970608350966172023928951251252033863790674514764121772909861543228680085468022325335868633960043681242309105716873612970313901713<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasFebruary 20, 2023 12:00:00 UTC 2023 年 2 月 20 日 (月) 21 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 23, 2023 08:58:31 UTC 2023 年 2 月 23 日 (木) 17 時 58 分 31 秒 (日本時間)
4511e63584Dmitry DomanovFebruary 23, 2023 08:58:31 UTC 2023 年 2 月 23 日 (木) 17 時 58 分 31 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovFebruary 23, 2023 08:58:31 UTC 2023 年 2 月 23 日 (木) 17 時 58 分 31 秒 (日本時間)