Contributed factorization results of 699...998

Table of contents 目次

7×10¹⁵³-2
- c136
- ECM
7×10¹⁵⁴-2
- c150
- ECM
7×10¹⁵⁵-2
- c130
- ECM
7×10¹⁵⁶-2
- c119
- ECM
7×10¹⁵⁹-2
- c127
- ECM
7×10¹⁶¹-2
- c144
- ECM
7×10¹⁶²-2
- c121
- ECM
7×10¹⁶⁶-2
- c123
- ECM
7×10¹⁶⁷-2
- c101
- ECM
7×10¹⁷⁴-2
- c161
- ECM
7×10¹⁷⁶-2
- c147
- ECM
7×10¹⁷⁷-2
- c93
- ECM
7×10¹⁷⁸-2
- c139
- ECM
7×10¹⁷⁹-2
- c167
- ECM
7×10¹⁸³-2
- c109
- ECM
7×10¹⁸⁷-2
- c140
- ECM
7×10¹⁸⁸-2
- c142
- ECM
7×10¹⁹³-2
- c164
- ECM
7×10¹⁹⁹-2
- c196
- ECM
7×10²⁰²-2
- c142
- ECM
7×10²⁰³-2
- c149
- ECM
7×10²⁰⁴-2
- c201
- ECM
7×10²⁰⁶-2
- c174
- ECM
7×10²⁰⁸-2
- c198
- ECM
7×10²⁰⁹-2
- c168
- ECM
7×10²¹⁰-2
- c172
- c133
- ECM
7×10²¹¹-2
- c173
- ECM
7×10²¹³-2
- c212
- ECM
7×10²¹⁵-2
- c198
- ECM
7×10²¹⁶-2
- c206
- ECM
7×10²¹⁸-2
- c199
- ECM
7×10²¹⁹-2
- c170
- ECM
7×10²²⁰-2
- c181
- ECM
7×10²²¹-2
- c178
- ECM
7×10²²²-2
- c208
- ECM
7×10²²³-2
- c163
- ECM
7×10²²⁴-2
- c197
- ECM
7×10²²⁵-2
- c126
- ECM
7×10²²⁶-2
- c221
- ECM
7×10²²⁷-2
- c198
- ECM
7×10²²⁸-2
- c204
- ECM
7×10²²⁹-2
- c224
- ECM
7×10²³⁰-2
- c231
- ECM
7×10²³¹-2
- c183
- ECM
7×10²³²-2
- c197
- ECM
7×10²³⁶-2
- c210
- ECM
7×10²³⁷-2
- c205
- ECM
7×10²⁴⁰-2
- c228
- ECM
7×10²⁴²-2
- c218
- ECM
7×10²⁴⁴-2
- c203
- ECM
7×10²⁴⁵-2
- c188
- ECM
7×10²⁴⁶-2
- c189
- ECM
7×10²⁴⁷-2
- c205
- ECM
7×10²⁴⁹-2
- c225
- ECM
7×10²⁵⁰-2
- c220
- ECM
7×10²⁵⁴-2
- c240
- ECM
7×10²⁵⁵-2
- c235
- ECM
7×10²⁵⁶-2
- c237
- ECM
7×10²⁵⁷-2
- c222
- ECM
7×10²⁵⁹-2
- c188
- c149
- ECM
7×10²⁶⁰-2
- c229
- ECM
7×10²⁶¹-2
- c259
- ECM
7×10²⁶²-2
- c263
- ECM
7×10²⁶⁴-2
- c238
- ECM
7×10²⁶⁷-2
- c261
- ECM
7×10²⁷⁰-2
- c268
- ECM
7×10²⁷¹-2
- c249
- ECM
7×10²⁷²-2
- c255
- ECM
7×10²⁷³-2
- c269
- ECM
7×10²⁷⁵-2
- c260
- ECM
7×10²⁷⁶-2
- c219
- ECM
7×10²⁷⁷-2
- c248
- ECM
7×10²⁷⁸-2
- c279
- ECM
7×10²⁷⁹-2
- c256
- ECM
7×10²⁸¹-2
- c269
- ECM
7×10²⁸³-2
- c233
- ECM
7×10²⁸⁴-2
- c276
- ECM
7×10²⁸⁵-2
- c250
- ECM
7×10²⁸⁶-2
- c170
- c126
- ECM
7×10²⁸⁷-2
- c287
- ECM
7×10²⁸⁸-2
- c228
- ECM
7×10²⁸⁹-2
- c282
- ECM
7×10²⁹⁰-2
- c277
- ECM
7×10²⁹²-2
- c270
- ECM
7×10²⁹³-2
- c260
- ECM
7×10²⁹⁵-2
- c288
- ECM
7×10²⁹⁶-2
- c282
- ECM
7×10²⁹⁷-2
- c264
- ECM
7×10²⁹⁸-2
- c247
- ECM
7×10³⁰⁰-2
- c264
- ECM

7×10¹⁵³-2

c136

name 名前	Dmitry Domanov
date 日付	September 10, 2021 20:29:17 UTC 2021 年 9 月 11 日 (土) 5 時 29 分 17 秒 (日本時間)
composite number 合成数	4616965369416673986666477598167082418017662240237447608953843672653984707543780551654654923006764430890023261681540333433952679434704633<136>
prime factors 素因数	104427088196134311070429112190957484047660704257<48> 44212334645825977548010675054843097342833538925138614896325716411162155758338488421483769<89>
factorization results 素因数分解の結果	N=4616965369416673986666477598167082418017662240237447608953843672653984707543780551654654923006764430890023261681540333433952679434704633 ( 136 digits) SNFS difficulty: 153 digits. Divisors found: p48 factor: 104427088196134311070429112190957484047660704257 p89 factor: 44212334645825977548010675054843097342833538925138614896325716411162155758338488421483769 Version: Msieve v. 1.54 (SVN 1043M) Total time: 20.85 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 4616965369416673986666477598167082418017662240237447608953843672653984707543780551654654923006764430890023261681540333433952679434704633 m: 100000000000000000000000000000000000000 deg: 4 c4: 35 c0: -1 skew: 0.41 # Murphy_E = 1.087e-09 type: snfs lss: 1 rlim: 2500000 alim: 2500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1250000, 2650001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 408763 x 408989 Total sieving time: 20.67 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.11 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,153.000,4,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000 total time: 20.85 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)

7×10¹⁵⁴-2

c150

name 名前	ivelive
date 日付	September 10, 2021 18:56:16 UTC 2021 年 9 月 11 日 (土) 3 時 56 分 16 秒 (日本時間)
composite number 合成数	260325630173971899707691506690368695471077822487671721942475473606700037933163253921619671692190974882295625785625562489308054474997582690576955975217<150>
prime factors 素因数	163656820483609389100949007658899631061776351558807982230074144504097<69> 1590679993688647498496080192934014246068359476888203889870646551303908370507954961<82>
factorization results 素因数分解の結果	163656820483609389100949007658899631061776351558807982230074144504097

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)

7×10¹⁵⁵-2

c130

name 名前	ivelive
date 日付	September 10, 2021 18:56:55 UTC 2021 年 9 月 11 日 (土) 3 時 56 分 55 秒 (日本時間)
composite number 合成数	3589757850196454208192361788143613343165065954285469346050482424543051402883669945810272114319067568981628713896413450433692601073<130>
prime factors 素因数	1763097728818780923366140757374048817154293390335394417163609<61> 2036051542418738824595485898698627885739941023895490284750216517259097<70>
factorization results 素因数分解の結果	1763097728818780923366140757374048817154293390335394417163609

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)

7×10¹⁵⁶-2

c119

name 名前	ivelive
date 日付	September 10, 2021 18:57:33 UTC 2021 年 9 月 11 日 (土) 3 時 57 分 33 秒 (日本時間)
composite number 合成数	86963778952514186983189289669469976362352112408187427186586255028209583693843851874048184375430864982494988784631967277<119>
prime factors 素因数	27352867399864061320828018802438112506343549161672136937<56> 3179329526269204991636189706889188968810756111770289479348166821<64>
factorization results 素因数分解の結果	27352867399864061320828018802438112506343549161672136937

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)

7×10¹⁵⁹-2

c127

name 名前	Eric Jeancolas
date 日付	September 13, 2021 06:28:22 UTC 2021 年 9 月 13 日 (月) 15 時 28 分 22 秒 (日本時間)
composite number 合成数	1111077573898624102559801854436250948378284413746970405491807573751666751563608670633750994603610339970468940005264636908481789<127>
prime factors 素因数	62571601463573758093661031309859032069891725048641810199<56> 17756898463681502246736693214198209695824286301851638617459743477510411<71>
factorization results 素因数分解の結果	1111077573898624102559801854436250948378284413746970405491807573751666751563608670633750994603610339970468940005264636908481789=6257160146357375809366103130985903206989172504864181019917756898463681502246736693214198209695824286301851638617459743477510411 cado polynomial n: 1111077573898624102559801854436250948378284413746970405491807573751666751563608670633750994603610339970468940005264636908481789 skew: 0.62 type: snfs c0: -5 c5: 56 Y0: 50000000000000000000000000000000 Y1: -1 # f(x) = 56x^5-5 # g(x) = -x+50000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3300000 tasks.lim1 = 3300000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 51 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 17756898463681502246736693214198209695824286301851638617459743477510411 62571601463573758093661031309859032069891725048641810199 Info:Square Root: Total cpu/real time for sqrt: 96.76/15.183 Info:Generate Free Relations: Total cpu/real time for freerel: 72.38/7.94897 Info:Filtering - Merging: Merged matrix has 342799 rows and total weight 58300038 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 126.9/24.8145 Info:Filtering - Merging: Total cpu/real time for replay: 15.35/11.9633 Info:Generate Factor Base: Total cpu/real time for makefb: 1.88/0.341352 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 179.44/88.4579 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.7s Info:Quadratic Characters: Total cpu/real time for characters: 12.55/2.8548 Info:Square Root: Total cpu/real time for sqrt: 96.76/15.183 Info:Linear Algebra: Total cpu/real time for bwc: 2326.73/456.27 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1499.01, WCT time 303.22, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10752 iterations) Info:Linear Algebra: Lingen CPU time 140.08, WCT time 12.74 Info:Linear Algebra: Mksol: CPU time 633.71, WCT time 123.86, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5376 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 129.88/66.7887 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11662043 Info:Lattice Sieving: Average J: 1892.58 for 172994 special-q, max bucket fill -bkmult 1.0,1s:1.157720 Info:Lattice Sieving: Total time: 35718.6s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 85.36/44.9517 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 44.8s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 73439.5/8248.63 Info:root: Cleaning up computation data in /tmp/cado.r6ihsea0 17756898463681502246736693214198209695824286301851638617459743477510411 62571601463573758093661031309859032069891725048641810199
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 12, 2021 18:12:07 UTC 2021 年 9 月 13 日 (月) 3 時 12 分 7 秒 (日本時間)

7×10¹⁶¹-2

c144

name 名前	Eric Jeancolas
date 日付	September 13, 2021 10:34:18 UTC 2021 年 9 月 13 日 (月) 19 時 34 分 18 秒 (日本時間)
composite number 合成数	868596560071359162060198946348749430308246734902642211072014794212904787159036662058421344958687505341348297059036634461532165216132932806773317<144>
prime factors 素因数	6671554886164629061163385994060040969155543186603374130932054373<64> 130194021467565491079571988996473814774601359521411292614290114090704785184370529<81>
factorization results 素因数分解の結果	868596560071359162060198946348749430308246734902642211072014794212904787159036662058421344958687505341348297059036634461532165216132932806773317=6671554886164629061163385994060040969155543186603374130932054373130194021467565491079571988996473814774601359521411292614290114090704785184370529 cado polynomial n: 868596560071359162060198946348749430308246734902642211072014794212904787159036662058421344958687505341348297059036634461532165216132932806773317 skew: 0.49 type: snfs c0: -1 c5: 35 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 35x^5-1 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3400000 tasks.lim1 = 3400000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 51 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 130194021467565491079571988996473814774601359521411292614290114090704785184370529 6671554886164629061163385994060040969155543186603374130932054373 Info:Square Root: Total cpu/real time for sqrt: 229.12/33.4162 Info:Filtering - Merging: Merged matrix has 411367 rows and total weight 70210601 (170.7 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 157.83/31.0337 Info:Filtering - Merging: Total cpu/real time for replay: 17/13.3365 Info:Generate Factor Base: Total cpu/real time for makefb: 1.88/0.328675 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 191.61/89.3228 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.0s Info:Quadratic Characters: Total cpu/real time for characters: 15.29/3.44022 Info:Square Root: Total cpu/real time for sqrt: 229.12/33.4162 Info:Linear Algebra: Total cpu/real time for bwc: 3126.1/598.44 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 1889.45, WCT time 369.56, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12928 iterations) Info:Linear Algebra: Lingen CPU time 173.77, WCT time 15.39 Info:Linear Algebra: Mksol: CPU time 1000.11, WCT time 194.7, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 125.38/64.8702 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11626364 Info:Lattice Sieving: Average J: 1893.8 for 238476 special-q, max bucket fill -bkmult 1.0,1s:1.149000 Info:Lattice Sieving: Total time: 51875.9s Info:Generate Free Relations: Total cpu/real time for freerel: 72.47/7.74736 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.71/48.6806 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.6s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 106075/11421 Info:root: Cleaning up computation data in /tmp/cado.5cz14cwl 130194021467565491079571988996473814774601359521411292614290114090704785184370529 6671554886164629061163385994060040969155543186603374130932054373
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 12, 2021 18:12:18 UTC 2021 年 9 月 13 日 (月) 3 時 12 分 18 秒 (日本時間)

7×10¹⁶²-2

c121

name 名前	Eric Jeancolas
date 日付	September 13, 2021 14:56:43 UTC 2021 年 9 月 13 日 (月) 23 時 56 分 43 秒 (日本時間)
composite number 合成数	9235613720594938855044529032579497197031632748932112903099292955208277727768762107340788268940951218588755515668308917603<121>
prime factors 素因数	50644631385106522828033512332985082439443194500388409<53> 182361159870361513315843569603376874782101193268029752364573973663867<69>
factorization results 素因数分解の結果	9235613720594938855044529032579497197031632748932112903099292955208277727768762107340788268940951218588755515668308917603=50644631385106522828033512332985082439443194500388409182361159870361513315843569603376874782101193268029752364573973663867 cado polynomial n: 9235613720594938855044529032579497197031632748932112903099292955208277727768762107340788268940951218588755515668308917603 skew: 0.31 type: snfs c0: -1 c5: 350 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 350x^5-1 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 3600000 tasks.lim1 = 3600000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 51 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 182361159870361513315843569603376874782101193268029752364573973663867 50644631385106522828033512332985082439443194500388409 Info:Square Root: Total cpu/real time for sqrt: 396.17/54.7853 Info:Filtering - Merging: Merged matrix has 483628 rows and total weight 82432528 (170.4 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 167.32/34.1326 Info:Filtering - Merging: Total cpu/real time for replay: 18.66/14.5562 Info:Generate Factor Base: Total cpu/real time for makefb: 2.03/0.348198 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 177.44/82.404 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 72.4s Info:Quadratic Characters: Total cpu/real time for characters: 17.38/3.99335 Info:Square Root: Total cpu/real time for sqrt: 396.17/54.7853 Info:Linear Algebra: Total cpu/real time for bwc: 4478.55/832.14 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 2789.14, WCT time 528.85, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15232 iterations) Info:Linear Algebra: Lingen CPU time 197.44, WCT time 17.45 Info:Linear Algebra: Mksol: CPU time 1420.92, WCT time 264.5, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7680 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 110.19/56.7389 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11639809 Info:Lattice Sieving: Average J: 1893.44 for 308409 special-q, max bucket fill -bkmult 1.0,1s:1.141960 Info:Lattice Sieving: Total time: 60304.4s Info:Generate Free Relations: Total cpu/real time for freerel: 72.56/7.76502 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 85.34/45.4256 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 45.3s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 124097/13373.1 Info:root: Cleaning up computation data in /tmp/cado.y_z3qzmy 182361159870361513315843569603376874782101193268029752364573973663867 50644631385106522828033512332985082439443194500388409
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 12, 2021 18:12:28 UTC 2021 年 9 月 13 日 (月) 3 時 12 分 28 秒 (日本時間)

7×10¹⁶⁶-2

c123

name 名前	Eric Jeancolas
date 日付	September 13, 2021 20:54:49 UTC 2021 年 9 月 14 日 (火) 5 時 54 分 49 秒 (日本時間)
composite number 合成数	755201149619782882672265980416451733321649763926550481792605705762567077598984943921965052031593596831378264197604185580969<123>
prime factors 素因数	5829472920741656126240530945755173384450854136176601<52> 129548787667016425672321247828177132796154483513165792846887125524095569<72>
factorization results 素因数分解の結果	755201149619782882672265980416451733321649763926550481792605705762567077598984943921965052031593596831378264197604185580969=5829472920741656126240530945755173384450854136176601129548787667016425672321247828177132796154483513165792846887125524095569 cado polynomial n: 755201149619782882672265980416451733321649763926550481792605705762567077598984943921965052031593596831378264197604185580969 skew: 0.49 type: snfs c0: -1 c5: 35 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 35x^5-1 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 4200000 tasks.lim1 = 4200000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 51 tasks.sieve.mfb1 = 51 tasks.sieve.lambda0 = 2.4 tasks.sieve.lambda1 = 2.4 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 129548787667016425672321247828177132796154483513165792846887125524095569 5829472920741656126240530945755173384450854136176601 Info:Square Root: Total cpu/real time for sqrt: 158.74/24.9041 Info:Generate Free Relations: Total cpu/real time for freerel: 72.43/7.83101 Info:Filtering - Merging: Merged matrix has 552200 rows and total weight 94019272 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 181.99/32.5202 Info:Filtering - Merging: Total cpu/real time for replay: 19.56/15.4561 Info:Generate Factor Base: Total cpu/real time for makefb: 2.34/0.416118 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 172.87/79.909 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.69999999999999s Info:Quadratic Characters: Total cpu/real time for characters: 19.7/4.49897 Info:Square Root: Total cpu/real time for sqrt: 158.74/24.9041 Info:Linear Algebra: Total cpu/real time for bwc: 5523.8/1024.74 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 3430.23, WCT time 646.97, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17408 iterations) Info:Linear Algebra: Lingen CPU time 218.11, WCT time 19.31 Info:Linear Algebra: Mksol: CPU time 1773.33, WCT time 329.44, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 102/52.858 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11620465 Info:Lattice Sieving: Average J: 1893.03 for 357479 special-q, max bucket fill -bkmult 1.0,1s:1.140620 Info:Lattice Sieving: Total time: 69684.8s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 82.53/42.7927 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.7s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 143371/16183.2 Info:root: Cleaning up computation data in /tmp/cado.dfvy83f7 129548787667016425672321247828177132796154483513165792846887125524095569 5829472920741656126240530945755173384450854136176601
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 12, 2021 18:12:46 UTC 2021 年 9 月 13 日 (月) 3 時 12 分 46 秒 (日本時間)

7×10¹⁶⁷-2

c101

name 名前	Dmitry Domanov
date 日付	September 10, 2021 22:38:21 UTC 2021 年 9 月 11 日 (土) 7 時 38 分 21 秒 (日本時間)
composite number 合成数	19743599861298448153234492056095970356286291850346235733928448047864405948435048748393320693165795927<101>
prime factors 素因数	131332708657589927363656383523135908786733<42> 150332693683900761669022962692127200392911473926678394656019<60>
factorization results 素因数分解の結果	N=19743599861298448153234492056095970356286291850346235733928448047864405948435048748393320693165795927 ( 101 digits) Divisors found: p42 factor: 131332708657589927363656383523135908786733 p60 factor: 150332693683900761669022962692127200392911473926678394656019 Version: Msieve v. 1.54 (SVN 1043M) Total time: 4.12 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 19743599861298448153234492056095970356286291850346235733928448047864405948435048748393320693165795927 skew: 11251116.78 c0: 119272951712815486027939036679 c1: -43740239352670800238962 c2: -5266091685681387 c3: 893514178 c4: 24 Y0: -5355357922441756055300112 Y1: 20236346689037 rlim: 1940000 alim: 1940000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 1940000/1940000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [970000, 1470001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 210221 x 210447 Total sieving time: 4.04 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: gnfs,100,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1940000,1940000,26,26,52,52,2.5,2.5,100000 total time: 4.12 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)

7×10¹⁷⁴-2

c161

name 名前	Eric Jeancolas
date 日付	September 14, 2021 06:57:48 UTC 2021 年 9 月 14 日 (火) 15 時 57 分 48 秒 (日本時間)
composite number 合成数	47856535507363589974659490834733069064355071786371414361216671336574199399578690172047412157895757647410459988297879224014773532682580361390521783277716564179869<161>
prime factors 素因数	24785755429165539876799633664217865828005070001<47> 330797381072030726410614292954945353799681014925089978127<57> 5836829842821189452232772277678845607594631824045271407747<58>
factorization results 素因数分解の結果	47856535507363589974659490834733069064355071786371414361216671336574199399578690172047412157895757647410459988297879224014773532682580361390521783277716564179869=247857554291655398767996336642178658280050700013307973810720307264106142929549453537996810149250899781275836829842821189452232772277678845607594631824045271407747 cado polynomial n: 47856535507363589974659490834733069064355071786371414361216671336574199399578690172047412157895757647410459988297879224014773532682580361390521783277716564179869 skew: 0.62 type: snfs c0: -5 c5: 56 Y0: 50000000000000000000000000000000000 Y1: -1 # f(x) = 56*x^5-5 # g(x) = -x+50000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 5800000 tasks.lim1 = 5800000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 52 tasks.sieve.mfb1 = 52 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: 330797381072030726410614292954945353799681014925089978127 24785755429165539876799633664217865828005070001 5836829842821189452232772277678845607594631824045271407747 Info:Square Root: Total cpu/real time for sqrt: 196.57/29.4515 Info:Filtering - Merging: Merged matrix has 651595 rows and total weight 111108208 (170.5 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 213.16/43.0921 Info:Filtering - Merging: Total cpu/real time for replay: 28.19/21.9348 Info:Generate Factor Base: Total cpu/real time for makefb: 3.18/0.556775 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 351.66/165.324 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.2s Info:Quadratic Characters: Total cpu/real time for characters: 22.83/5.47285 Info:Square Root: Total cpu/real time for sqrt: 196.57/29.4515 Info:Linear Algebra: Total cpu/real time for bwc: 7619.18/1392.42 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 4706.08, WCT time 865.46, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20480 iterations) Info:Linear Algebra: Lingen CPU time 261.74, WCT time 23.16 Info:Linear Algebra: Mksol: CPU time 2526.45, WCT time 467.22, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10240 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 260.98/125.347 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 164.36/82.0819 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 82.0s Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22440024 Info:Lattice Sieving: Average J: 1892.87 for 620831 special-q, max bucket fill -bkmult 1.0,1s:1.133890 Info:Lattice Sieving: Total time: 166766s Info:Generate Free Relations: Total cpu/real time for freerel: 143.31/13.9996 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 338003/35618.3 Info:root: Cleaning up computation data in /tmp/cado.7vo5gad3 330797381072030726410614292954945353799681014925089978127 24785755429165539876799633664217865828005070001 5836829842821189452232772277678845607594631824045271407747
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 12, 2021 18:13:01 UTC 2021 年 9 月 13 日 (月) 3 時 13 分 1 秒 (日本時間)

7×10¹⁷⁶-2

c147

name 名前	Eric Jeancolas
date 日付	September 14, 2021 04:09:34 UTC 2021 年 9 月 14 日 (火) 13 時 9 分 34 秒 (日本時間)
composite number 合成数	376188274431729712725233871809146666042674497006847167208168235762428616909549158750093529519857785696777640731742549837654753764322902720267665927<147>
prime factors 素因数	9143787015317131354057423751396649089830423<43> 10403136604632450811913465984228321883251911<44> 3954711910534860707618802003465053363624300426985786924502759<61>
factorization results 素因数分解の結果	376188274431729712725233871809146666042674497006847167208168235762428616909549158750093529519857785696777640731742549837654753764322902720267665927=9143787015317131354057423751396649089830423104031366046324508119134659842283218832519113954711910534860707618802003465053363624300426985786924502759 cado polynomial n: 376188274431729712725233871809146666042674497006847167208168235762428616909549158750093529519857785696777640731742549837654753764322902720267665927 skew: 0.49 type: snfs c0: -1 c5: 35 Y0: 100000000000000000000000000000000000 Y1: -1 # f(x) = 35*x^5-1 # g(x) = -x+100000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 6100000 tasks.lim1 = 6100000 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: 9143787015317131354057423751396649089830423 10403136604632450811913465984228321883251911 3954711910534860707618802003465053363624300426985786924502759 Info:Square Root: Total cpu/real time for sqrt: 332.67/103.189 Info:Filtering - Singleton removal: Total cpu/real time for purge: 132.62/130.401 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22496872 Info:Lattice Sieving: Average J: 1893.67 for 716700 special-q, max bucket fill -bkmult 1.0,1s:1.181400 Info:Lattice Sieving: Total time: 112206s Info:Generate Factor Base: Total cpu/real time for makefb: 2.62/1.41634 Info:Linear Algebra: Total cpu/real time for bwc: 11290.9/2903.85 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 7117.39, WCT time 1822.65, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26880 iterations) Info:Linear Algebra: Lingen CPU time 149.66, WCT time 38.1 Info:Linear Algebra: Mksol: CPU time 3888.12, WCT time 993.51, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13568 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 119.03/32.2375 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 87.09/99.0141 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 98.9s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.22/177.73 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.0s Info:Filtering - Merging: Merged matrix has 859349 rows and total weight 146852363 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 200.69/55.7771 Info:Filtering - Merging: Total cpu/real time for replay: 29.74/25.0652 Info:Quadratic Characters: Total cpu/real time for characters: 28.67/11.3231 Info:Square Root: Total cpu/real time for sqrt: 332.67/103.189 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 225400/22407.4 Info:root: Cleaning up computation data in /tmp/cado.lgvk2ia2 9143787015317131354057423751396649089830423 10403136604632450811913465984228321883251911 3954711910534860707618802003465053363624300426985786924502759
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 12, 2021 18:32:49 UTC 2021 年 9 月 13 日 (月) 3 時 32 分 49 秒 (日本時間)

7×10¹⁷⁷-2

c93

name 名前	Dmitry Domanov
date 日付	September 10, 2021 15:03:05 UTC 2021 年 9 月 11 日 (土) 0 時 3 分 5 秒 (日本時間)
composite number 合成数	437598971159291948996040125352297111384735964869476599913810791791926114787435575308942496767<93>
prime factors 素因数	78137524218742286628544953336511403143333613<44> 5600369035679380116624034073317577286628932607259<49>
factorization results 素因数分解の結果	P44 = 78137524218742286628544953336511403143333613 P49 = 5600369035679380116624034073317577286628932607259
software ソフトウェア	YAFU/SIQS

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)

7×10¹⁷⁸-2

c139

name 名前	Eric Jeancolas
date 日付	September 14, 2021 13:23:13 UTC 2021 年 9 月 14 日 (火) 22 時 23 分 13 秒 (日本時間)
composite number 合成数	2402521245993363919121024060821670780390512261177235158363272688354215963787884753360375376182099988402979770752211878180063105723246956537<139>
prime factors 素因数	2192354685570203804560323450724786743719<40> 214950100537508323203672918743333858076544856633<48> 5098222289692960694339030723136532695129207789599831<52>
factorization results 素因数分解の結果	2402521245993363919121024060821670780390512261177235158363272688354215963787884753360375376182099988402979770752211878180063105723246956537=21923546855702038045603234507247867437192149501005375083232036729187433338580765448566335098222289692960694339030723136532695129207789599831 cado polynomial n: 2402521245993363919121024060821670780390512261177235158363272688354215963787884753360375376182099988402979770752211878180063105723246956537 skew: 0.20 type: snfs c0: -1 c5: 3500 Y0: 100000000000000000000000000000000000 Y1: -1 # f(x) = 3500*x^5-1 # g(x) = -x+100000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 6600000 tasks.lim1 = 6600000 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: 5098222289692960694339030723136532695129207789599831 2192354685570203804560323450724786743719 214950100537508323203672918743333858076544856633 Info:Square Root: Total cpu/real time for sqrt: 667.64/203.118 Info:Filtering - Singleton removal: Total cpu/real time for purge: 121.58/93.3211 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22425935 Info:Lattice Sieving: Average J: 1894.32 for 901222 special-q, max bucket fill -bkmult 1.0,1s:1.183900 Info:Lattice Sieving: Total time: 146610s Info:Generate Factor Base: Total cpu/real time for makefb: 2.85/1.77482 Info:Linear Algebra: Total cpu/real time for bwc: 15672.9/4021.44 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 9925.43, WCT time 2536.93, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (31488 iterations) Info:Linear Algebra: Lingen CPU time 178.78, WCT time 45.5 Info:Linear Algebra: Mksol: CPU time 5407.41, WCT time 1379.93, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15872 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 118.03/31.9841 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.5/103.392 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.2s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.75/180.241 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 164.0s Info:Filtering - Merging: Merged matrix has 1004929 rows and total weight 170907831 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 236.03/65.5869 Info:Filtering - Merging: Total cpu/real time for replay: 35.03/29.6338 Info:Quadratic Characters: Total cpu/real time for characters: 33.5/13.1949 Info:Square Root: Total cpu/real time for sqrt: 667.64/203.118 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 294384/26189.3 Info:root: Cleaning up computation data in /tmp/cado.v5gk4vh1 5098222289692960694339030723136532695129207789599831 2192354685570203804560323450724786743719 214950100537508323203672918743333858076544856633
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 12, 2021 18:33:03 UTC 2021 年 9 月 13 日 (月) 3 時 33 分 3 秒 (日本時間)

7×10¹⁷⁹-2

c167

name 名前	Eric Jeancolas
date 日付	September 15, 2021 01:58:43 UTC 2021 年 9 月 15 日 (水) 10 時 58 分 43 秒 (日本時間)
composite number 合成数	17634719440309931753229846501543172929411843775178942113040802355108198606748489934501040346174095389963528459354536278639603807161487077764284156691004510366919760237<167>
prime factors 素因数	30929446178601463069918690796466249619473942342805465662413219681<65> 570159560519726090829590555986020624419378446180924594568151201787803869318053061212525039250318100877<102>
factorization results 素因数分解の結果	17634719440309931753229846501543172929411843775178942113040802355108198606748489934501040346174095389963528459354536278639603807161487077764284156691004510366919760237=30929446178601463069918690796466249619473942342805465662413219681570159560519726090829590555986020624419378446180924594568151201787803869318053061212525039250318100877 cado polynomial n: 17634719440309931753229846501543172929411843775178942113040802355108198606748489934501040346174095389963528459354536278639603807161487077764284156691004510366919760237 skew: 0.62 type: snfs c0: -5 c5: 56 Y0: 500000000000000000000000000000000000 Y1: -1 # f(x) = 56x^5-5 # g(x) = -x+500000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 7100000 tasks.lim1 = 7100000 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: 570159560519726090829590555986020624419378446180924594568151201787803869318053061212525039250318100877 30929446178601463069918690796466249619473942342805465662413219681 Info:Square Root: Total cpu/real time for sqrt: 639.49/86.7743 Info:Generate Free Relations: Total cpu/real time for freerel: 142.96/13.8739 Info:Filtering - Merging: Merged matrix has 903469 rows and total weight 153904469 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 345.85/62.9727 Info:Filtering - Merging: Total cpu/real time for replay: 32.3/24.6684 Info:Generate Factor Base: Total cpu/real time for makefb: 4/0.706904 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 437.57/206.857 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 185.1s Info:Quadratic Characters: Total cpu/real time for characters: 36.3/7.98709 Info:Square Root: Total cpu/real time for sqrt: 639.49/86.7743 Info:Linear Algebra: Total cpu/real time for bwc: 17382.7/3212.83 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 10984.9, WCT time 2043.14, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (28416 iterations) Info:Linear Algebra: Lingen CPU time 465.62, WCT time 40.69 Info:Linear Algebra: Mksol: CPU time 5800.63, WCT time 1090.99, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (14336 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 256.09/131.786 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 22416655 Info:Lattice Sieving: Average J: 1894.03 for 726952 special-q, max bucket fill -bkmult 1.0,1s:1.168510 Info:Lattice Sieving: Total time: 310203s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 204.18/106.767 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.6s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 558716/66419.1 Info:root: Cleaning up computation data in /tmp/cado.92gtflhk 570159560519726090829590555986020624419378446180924594568151201787803869318053061212525039250318100877 30929446178601463069918690796466249619473942342805465662413219681
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 12, 2021 18:45:09 UTC 2021 年 9 月 13 日 (月) 3 時 45 分 9 秒 (日本時間)

7×10¹⁸³-2

c109

name 名前	Dmitry Domanov
date 日付	September 11, 2021 16:03:16 UTC 2021 年 9 月 12 日 (日) 1 時 3 分 16 秒 (日本時間)
composite number 合成数	3279351427598916084080739434615244569816328987479432161386211226610215876228567045956691652386841560409957971<109>
prime factors 素因数	704046292448842613898177921719138298710876593<45> 4657863357525173244586305458624234020119698960566894634357351747<64>
factorization results 素因数分解の結果	N=3279351427598916084080739434615244569816328987479432161386211226610215876228567045956691652386841560409957971 ( 109 digits) Divisors found: p45 factor: 704046292448842613898177921719138298710876593 p64 factor: 4657863357525173244586305458624234020119698960566894634357351747 Version: Msieve v. 1.54 (SVN 1043M) Total time: 9.30 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 3279351427598916084080739434615244569816328987479432161386211226610215876228567045956691652386841560409957971 skew: 15799638.36 c0: -5485506106175469990588892297888 c1: 990215422137561999076978 c2: -48478293587844572 c3: 4173428513 c4: 396 Y0: -301663507967810219379841521 Y1: 109784430324865 rlim: 3060000 alim: 3060000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 3060000/3060000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [1530000, 2930001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 401126 x 401352 Total sieving time: 9.16 hours. Total relation processing time: 0.04 hours. Matrix solve time: 0.08 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,108,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3060000,3060000,26,26,52,52,2.5,2.5,100000 total time: 9.30 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)

7×10¹⁸⁷-2

c140

name 名前	Eric Jeancolas
date 日付	September 15, 2021 08:11:09 UTC 2021 年 9 月 15 日 (水) 17 時 11 分 9 秒 (日本時間)
composite number 合成数	14982613014383206583262920936469804630900778270062082722457756929586422725196570680166820166716767697113274777505386639426559164181621531213<140>
prime factors 素因数	796882746243925099288658918059426220237295864072859427037343<60> 18801527683970010408748474515679461887334424755471705167154110321992384924531091<80>
factorization results 素因数分解の結果	14982613014383206583262920936469804630900778270062082722457756929586422725196570680166820166716767697113274777505386639426559164181621531213=79688274624392509928865891805942622023729586407285942703734318801527683970010408748474515679461887334424755471705167154110321992384924531091 cado polynomial n: 14982613014383206583262920936469804630900778270062082722457756929586422725196570680166820166716767697113274777505386639426559164181621531213 skew: 0.31 type: snfs c0: -1 c5: 350 Y0: 10000000000000000000000000000000000000 Y1: -1 # f(x) = 350x^5-1 # g(x) = -x+10000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 9400000 tasks.lim1 = 9400000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 796882746243925099288658918059426220237295864072859427037343 18801527683970010408748474515679461887334424755471705167154110321992384924531091 Info:Square Root: Total cpu/real time for sqrt: 954.3/296.646 Info:Filtering - Singleton removal: Total cpu/real time for purge: 278.99/332.125 Info:Generate Free Relations: Total cpu/real time for freerel: 117.8/31.8882 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24614471 Info:Lattice Sieving: Average J: 1894.03 for 1779837 special-q, max bucket fill -bkmult 1.0,1s:1.152420 Info:Lattice Sieving: Total time: 359413s Info:Generate Factor Base: Total cpu/real time for makefb: 4/2.19117 Info:Linear Algebra: Total cpu/real time for bwc: 59366.3/15234.8 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 38031.2, WCT time 9711.54, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58880 iterations) Info:Linear Algebra: Lingen CPU time 373.91, WCT time 95.06 Info:Linear Algebra: Mksol: CPU time 20607.23, WCT time 5283.89, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29440 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.67/114.853 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 114.10000000000001s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 398.1/393.345 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 320.70000000000005s Info:Filtering - Merging: Merged matrix has 1882659 rows and total weight 320368975 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 495.81/137.613 Info:Filtering - Merging: Total cpu/real time for replay: 73.43/62.3596 Info:Quadratic Characters: Total cpu/real time for characters: 67.27/28.1692 Info:Square Root: Total cpu/real time for sqrt: 954.3/296.646 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 734751/52275.8 Info:root: Cleaning up computation data in /tmp/cado.qeaqz8kp 796882746243925099288658918059426220237295864072859427037343 18801527683970010408748474515679461887334424755471705167154110321992384924531091
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 12, 2021 18:45:28 UTC 2021 年 9 月 13 日 (月) 3 時 45 分 28 秒 (日本時間)

7×10¹⁸⁸-2

c142

name 名前	Eric Jeancolas
date 日付	September 18, 2021 17:45:59 UTC 2021 年 9 月 19 日 (日) 2 時 45 分 59 秒 (日本時間)
composite number 合成数	1798506009641320904408321380533045882294003284318939736348944413770725331593231809866846206144488834058693285743404401838584552279121865086557<142>
prime factors 素因数	2693458231180036822959360269212907638092292440663403503943274346053<67> 667731167619916473989340866047707820152766153739861333348571201413988781369<75>
factorization results 素因数分解の結果	1798506009641320904408321380533045882294003284318939736348944413770725331593231809866846206144488834058693285743404401838584552279121865086557=2693458231180036822959360269212907638092292440663403503943274346053667731167619916473989340866047707820152766153739861333348571201413988781369 cado polynomial n: 1798506009641320904408321380533045882294003284318939736348944413770725331593231809866846206144488834058693285743404401838584552279121865086557 skew: 0.20 type: snfs c0: -1 c5: 3500 Y0: 10000000000000000000000000000000000000 Y1: -1 # f(x) = 3500x^5-1 # g(x) = -x+10000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 9700000 tasks.lim1 = 9700000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 2693458231180036822959360269212907638092292440663403503943274346053 667731167619916473989340866047707820152766153739861333348571201413988781369 Info:Square Root: Total cpu/real time for sqrt: 1053.5/322.433 Info:Square Root: Total cpu/real time for sqrt: 1053.5/322.433 Info:Generate Free Relations: Total cpu/real time for freerel: 119.52/32.1843 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.24/116.665 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.19999999999999s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 397.19/390.659 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 318.2s Info:Generate Factor Base: Total cpu/real time for makefb: 4.16/2.249 Info:Filtering - Merging: Merged matrix has 1909425 rows and total weight 326897121 (171.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 508.52/140.965 Info:Filtering - Merging: Total cpu/real time for replay: 73.67/64.4378 Info:Linear Algebra: Total cpu/real time for bwc: 60633.6/15563.4 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 38874.93, WCT time 9931.1, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (59904 iterations) Info:Linear Algebra: Lingen CPU time 377.32, WCT time 95.93 Info:Linear Algebra: Mksol: CPU time 21022.13, WCT time 5387.62, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29952 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 279.19/330.45 Info:Quadratic Characters: Total cpu/real time for characters: 68.28/29.0264 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24654274 Info:Lattice Sieving: Average J: 1894.34 for 1823023 special-q, max bucket fill -bkmult 1.0,1s:1.161680 Info:Lattice Sieving: Total time: 340275s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 699440/165273 2693458231180036822959360269212907638092292440663403503943274346053 667731167619916473989340866047707820152766153739861333348571201413988781369
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 12, 2021 19:00:38 UTC 2021 年 9 月 13 日 (月) 4 時 0 分 38 秒 (日本時間)

7×10¹⁹³-2

c164

name 名前	Eric Jeancolas
date 日付	September 19, 2021 06:22:12 UTC 2021 年 9 月 19 日 (日) 15 時 22 分 12 秒 (日本時間)
composite number 合成数	89411327663953031957222737715550275297014606892071309838141683583311392622904390274348907602083077837428260796665123740727531577628945968115376037518603437662164291<164>
prime factors 素因数	127762635485951636247599371650088651949335567599107<51> 699823757735370218380170402300701332191861693852807864262223386267157190779683174656927131325366497307196583243713<114>
factorization results 素因数分解の結果	89411327663953031957222737715550275297014606892071309838141683583311392622904390274348907602083077837428260796665123740727531577628945968115376037518603437662164291=127762635485951636247599371650088651949335567599107699823757735370218380170402300701332191861693852807864262223386267157190779683174656927131325366497307196583243713 cado polynomial n: 89411327663953031957222737715550275297014606892071309838141683583311392622904390274348907602083077837428260796665123740727531577628945968115376037518603437662164291 skew: 0.20 type: snfs c0: -1 c5: 3500 Y0: 100000000000000000000000000000000000000 Y1: -1 # f(x) = 3500x^5-1 # g(x) = -x+100000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 11800000 tasks.lim1 = 11800000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 127762635485951636247599371650088651949335567599107 699823757735370218380170402300701332191861693852807864262223386267157190779683174656927131325366497307196583243713 Info:Square Root: Total cpu/real time for sqrt: 693.27/219.945 Info:Filtering - Singleton removal: Total cpu/real time for purge: 410.05/478.616 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 28092064 Info:Lattice Sieving: Average J: 1893.94 for 2744510 special-q, max bucket fill -bkmult 1.0,1s:1.129200 Info:Lattice Sieving: Total time: 569314s Info:Generate Free Relations: Total cpu/real time for freerel: 117.19/30.6702 Info:Generate Factor Base: Total cpu/real time for makefb: 5.09/2.48655 Info:Linear Algebra: Total cpu/real time for bwc: 94732.5/24238.4 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 60573.11, WCT time 15453.12, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73216 iterations) Info:Linear Algebra: Lingen CPU time 507.18, WCT time 128.46 Info:Linear Algebra: Mksol: CPU time 32836.12, WCT time 8387.52, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations) Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 117.18/139.279 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 138.6s Info:Filtering - Merging: Merged matrix has 2342004 rows and total weight 398737703 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 647.97/178.531 Info:Filtering - Merging: Total cpu/real time for replay: 90.01/78.2316 Info:Quadratic Characters: Total cpu/real time for characters: 81.45/35.9153 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 511.32/518.001 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 417.90000000000003s Info:Square Root: Total cpu/real time for sqrt: 693.27/219.945 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.16748e+06/287543 Info:root: Cleaning up computation data in /tmp/cado.632fk40p 127762635485951636247599371650088651949335567599107 699823757735370218380170402300701332191861693852807864262223386267157190779683174656927131325366497307196583243713
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 12, 2021 19:15:33 UTC 2021 年 9 月 13 日 (月) 4 時 15 分 33 秒 (日本時間)

7×10¹⁹⁹-2

c196

name 名前	Eric Jeancolas
date 日付	September 21, 2021 19:28:46 UTC 2021 年 9 月 22 日 (水) 4 時 28 分 46 秒 (日本時間)
composite number 合成数	2514548458941015877577412170414541274516847474674904806379768661541777426539262878080321862202744450032329908757813061283138156476758387815216610388677347510597025648394281198361951289604138228321<196>
prime factors 素因数	2556937591604178080935873904419646688509638145950858319<55> 983421913463062663053872680104240048471939007654154816186664814024553505213561718282093154139945025418648062203489083945287096528421699412559<141>
factorization results 素因数分解の結果	2514548458941015877577412170414541274516847474674904806379768661541777426539262878080321862202744450032329908757813061283138156476758387815216610388677347510597025648394281198361951289604138228321=2556937591604178080935873904419646688509638145950858319983421913463062663053872680104240048471939007654154816186664814024553505213561718282093154139945025418648062203489083945287096528421699412559 cado polynomial n: 2514548458941015877577412170414541274516847474674904806379768661541777426539262878080321862202744450032329908757813061283138156476758387815216610388677347510597025648394281198361951289604138228321 skew: 0.62 type: snfs c0: -5 c5: 56 Y0: 5000000000000000000000000000000000000000 Y1: -1 # f(x) = 56x^5-5 # g(x) = -x+5000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 15200000 tasks.lim1 = 15200000 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 = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 2556937591604178080935873904419646688509638145950858319 983421913463062663053872680104240048471939007654154816186664814024553505213561718282093154139945025418648062203489083945287096528421699412559 Info:Square Root: Total cpu/real time for sqrt: 1549.32/474.702 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 185.06/226.31 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 226.1s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 592.81/552.472 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 477.3000000000001s Info:Generate Factor Base: Total cpu/real time for makefb: 6.39/2.9268 Info:Linear Algebra: Total cpu/real time for bwc: 156592/40117.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 100537.55, WCT time 25658.76, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (92672 iterations) Info:Linear Algebra: Lingen CPU time 642.6, WCT time 163.13 Info:Linear Algebra: Mksol: CPU time 54296.19, WCT time 13884.9, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46592 iterations) Info:Square Root: Total cpu/real time for sqrt: 1549.32/474.702 Info:Quadratic Characters: Total cpu/real time for characters: 109.97/47.729 Info:Filtering - Merging: Merged matrix has 2964434 rows and total weight 504448820 (170.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 856.22/235.999 Info:Filtering - Merging: Total cpu/real time for replay: 120.5/105.599 Info:Filtering - Singleton removal: Total cpu/real time for purge: 325.83/387.253 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 44224716 Info:Lattice Sieving: Average J: 1893.87 for 2772179 special-q, max bucket fill -bkmult 1.0,1s:1.129720 Info:Lattice Sieving: Total time: 738494s Info:Generate Free Relations: Total cpu/real time for freerel: 235.16/61.2547 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.54671e+06/217718 2556937591604178080935873904419646688509638145950858319 983421913463062663053872680104240048471939007654154816186664814024553505213561718282093154139945025418648062203489083945287096528421699412559
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	September 12, 2021 19:15:43 UTC 2021 年 9 月 13 日 (月) 4 時 15 分 43 秒 (日本時間)
45	11e6	4480	Ignacio Santos	September 21, 2021 19:01:14 UTC 2021 年 9 月 22 日 (水) 4 時 1 分 14 秒 (日本時間)

7×10²⁰²-2

c142

name 名前	Eric Jeancolas
date 日付	October 27, 2021 22:02:38 UTC 2021 年 10 月 28 日 (木) 7 時 2 分 38 秒 (日本時間)
composite number 合成数	2595763013102504595613184579874060523428951556335992432273645041765504395388174034787362947315752041371749942686102113667433744135001689234431<142>
prime factors 素因数	1886226015772684641732417154400687616301326172462424576287<58> 1376167538458619485319474706220673411145465383959886587790805587456415632219737422113<85>
factorization results 素因数分解の結果	2595763013102504595613184579874060523428951556335992432273645041765504395388174034787362947315752041371749942686102113667433744135001689234431=18862260157726846417324171544006876163013261724624245762871376167538458619485319474706220673411145465383959886587790805587456415632219737422113 cado polynomial n: 2595763013102504595613184579874060523428951556335992432273645041765504395388174034787362947315752041371749942686102113667433744135001689234431 skew: 0.31 type: snfs c0: -1 c5: 350 Y0: 10000000000000000000000000000000000000000 Y1: -1 # f(x) = 350x^5-1 # g(x) = -x+10000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 16600000 tasks.lim1 = 16600000 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 = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1376167538458619485319474706220673411145465383959886587790805587456415632219737422113 1886226015772684641732417154400687616301326172462424576287 Info:Square Root: Total cpu/real time for sqrt: 1226.46/385.934 Info:Filtering - Singleton removal: Total cpu/real time for purge: 641.01/717.24 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 50584012 Info:Lattice Sieving: Average J: 1893.68 for 5694878 special-q, max bucket fill -bkmult 1.0,1s:1.134980 Info:Lattice Sieving: Total time: 1.63041e+06s Info:Linear Algebra: Total cpu/real time for bwc: 301289/77129.2 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 194727.17, WCT time 49722.54, iteration CPU time 0.38, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (123904 iterations) Info:Linear Algebra: Lingen CPU time 882.14, WCT time 223.87 Info:Linear Algebra: Mksol: CPU time 104037.55, WCT time 26566.91, iteration CPU time 0.41, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (61952 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 7.01/3.02586 Info:Generate Free Relations: Total cpu/real time for freerel: 236.33/61.59 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 214.58/261.512 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 260.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 917.64/826.695 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 662.5s Info:Filtering - Merging: Merged matrix has 3953604 rows and total weight 676606025 (171.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 1165.06/320.504 Info:Filtering - Merging: Total cpu/real time for replay: 161.03/140.913 Info:Quadratic Characters: Total cpu/real time for characters: 144.44/60.8279 Info:Square Root: Total cpu/real time for sqrt: 1226.46/385.934 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.47303e+06/269456 Info:root: Cleaning up computation data in /tmp/cado.yp6dklu0 1376167538458619485319474706220673411145465383959886587790805587456415632219737422113 1886226015772684641732417154400687616301326172462424576287
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350	Ignacio Santos	September 12, 2021 19:45:38 UTC 2021 年 9 月 13 日 (月) 4 時 45 分 38 秒 (日本時間)
45	11e6	4480	Ignacio Santos	September 21, 2021 19:01:29 UTC 2021 年 9 月 22 日 (水) 4 時 1 分 29 秒 (日本時間)

7×10²⁰³-2

c149

name 名前	Thomas Kozlowski
date 日付	August 22, 2024 01:46:48 UTC 2024 年 8 月 22 日 (木) 10 時 46 分 48 秒 (日本時間)
composite number 合成数	25013937165893412456018838064563038113353504057127986859011087578361624605871467465960790532041950627107996572901634184840466458044866092938523199573<149>
prime factors 素因数	6404151364048727424330820967166578146651923733179302193888763083167953<70> 3905894121478026998078042158128264565405386695805728836438297943927549117929541<79>
factorization results 素因数分解の結果	3905894121478026998078042158128264565405386695805728836438297943927549117929541 6404151364048727424330820967166578146651923733179302193888763083167953
software ソフトウェア	cado-nfs
execution environment 実行環境	2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200		Dmitry Domanov	September 17, 2021 09:40:59 UTC 2021 年 9 月 17 日 (金) 18 時 40 分 59 秒 (日本時間)
45	11e6	5480	1000	Dmitry Domanov	September 23, 2021 09:23:27 UTC 2021 年 9 月 23 日 (木) 18 時 23 分 27 秒 (日本時間)
45	11e6	5480	4480	Ignacio Santos	December 5, 2021 22:21:53 UTC 2021 年 12 月 6 日 (月) 7 時 21 分 53 秒 (日本時間)

7×10²⁰⁴-2

c201

name 名前	Bob Backstrom
date 日付	October 4, 2023 13:57:28 UTC 2023 年 10 月 4 日 (水) 22 時 57 分 28 秒 (日本時間)
composite number 合成数	507761497171043087189902799941970114609023647178296822863774844044683011751051791672711446394893370085594080951690120412012186275932105034092557667198607282750616567532279123748730596257072392282025243<201>
prime factors 素因数	11491236663346698854368377584150856432676997906084928843901578541361300733022577010620886673<92> 44186845336728364144866658434363725630311911565695869031490361030404449157581140868710396547370393808178106091<110>
factorization results 素因数分解の結果	Number: n N=507761497171043087189902799941970114609023647178296822863774844044683011751051791672711446394893370085594080951690120412012186275932105034092557667198607282750616567532279123748730596257072392282025243 ( 201 digits) SNFS difficulty: 205 digits. Divisors found: Thu Sep 28 08:46:43 2023 prp92 factor: 11491236663346698854368377584150856432676997906084928843901578541361300733022577010620886673 Thu Sep 28 08:46:43 2023 prp110 factor: 44186845336728364144866658434363725630311911565695869031490361030404449157581140868710396547370393808178106091 Thu Sep 28 08:46:43 2023 elapsed time 02:27:43 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.096). Factorization parameters were as follows: # # N = 7x10^204-2 = 69(203) # n: 507761497171043087189902799941970114609023647178296822863774844044683011751051791672711446394893370085594080951690120412012186275932105034092557667198607282750616567532279123748730596257072392282025243 m: 50000000000000000000000000000000000000000 deg: 5 c5: 56 c0: -5 skew: 0.62 # Murphy_E = 1.186e-11 type: snfs lss: 1 rlim: 18400000 alim: 18400000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 18400000/18400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 34800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2854939 hash collisions in 18415709 relations (16072968 unique) Msieve: matrix is 2111389 x 2111614 (598.8 MB) Sieving start time: 2023/09/27 16:44:31 Sieving end time : 2023/09/28 06:18:38 Total sieving time: 13hrs 34min 7secs. Total relation processing time: 2hrs 18min 4sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 4min 46sec. Prototype def-par.txt line would be: snfs,205,5,0,0,0,0,0,0,0,0,18400000,18400000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200		Dmitry Domanov	September 17, 2021 21:32:31 UTC 2021 年 9 月 18 日 (土) 6 時 32 分 31 秒 (日本時間)
45	11e6	5480	1000	Dmitry Domanov	September 25, 2021 02:40:38 UTC 2021 年 9 月 25 日 (土) 11 時 40 分 38 秒 (日本時間)
45	11e6	5480	4480	Ignacio Santos	February 12, 2022 22:34:06 UTC 2022 年 2 月 13 日 (日) 7 時 34 分 6 秒 (日本時間)

7×10²⁰⁶-2

c174

name 名前	Ignacio Santos
date 日付	February 27, 2024 10:56:57 UTC 2024 年 2 月 27 日 (火) 19 時 56 分 57 秒 (日本時間)
composite number 合成数	298259013943144565184452351991410580013164965024174884390653435964591119869454314441742773705771626841492686740025809034301702576419309829200447542149571948268911686354402731<174>
prime factors 素因数	110647928108093717626960896821297805007525327<45> 2695567997005516445566567509878035313003793957020949191291764083052405947276233055940607624999645719173854999930175893075695185253<130>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2839356664 Step 1 took 27609ms ********** Factor found in step 1: 110647928108093717626960896821297805007525327 Found prime factor of 45 digits: 110647928108093717626960896821297805007525327 Prime cofactor 2695567997005516445566567509878035313003793957020949191291764083052405947276233055940607624999645719173854999930175893075695185253 has 130 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200		Dmitry Domanov	September 20, 2021 10:17:19 UTC 2021 年 9 月 20 日 (月) 19 時 17 分 19 秒 (日本時間)
45	11e6	2200 / 4169	1000	Dmitry Domanov	September 23, 2021 09:26:21 UTC 2021 年 9 月 23 日 (木) 18 時 26 分 21 秒 (日本時間)
45	11e6	2200 / 4169	1200	Dmitry Domanov	September 30, 2021 00:17:35 UTC 2021 年 9 月 30 日 (木) 9 時 17 分 35 秒 (日本時間)

7×10²⁰⁸-2

c198

name 名前	Bob Backstrom
date 日付	September 21, 2024 05:37:14 UTC 2024 年 9 月 21 日 (土) 14 時 37 分 14 秒 (日本時間)
composite number 合成数	164359394317490607539923872082704737928040117018623430416611335031566515961944494468722297236854989909547076952765260894275186159472484396357064486485059952793798977501199552138977966099303092081929<198>
prime factors 素因数	100754440439526757060271899472669997430557053528164003<54> 1631286855452686612398977167008560943212366206699053731705609144886510366102962317856829887469294637720737206695202689154982384676336868272876643<145>
factorization results 素因数分解の結果	09/19/24 15:53:34 v1.34.5 @ RYZEN-9, 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, ************************** 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, Starting factorization of 69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, using pretesting plan: normal 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, ************************** 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, div: found prime factor = 2 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, div: found prime factor = 3253 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C206 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C206 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C206 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C206 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, prp8 = 65462027 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00 09/19/24 15:53:34 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.92 09/19/24 15:53:35 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C198 input, B1=2K, B2=gmp-ecm default 09/19/24 15:53:35 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18 09/19/24 15:53:35 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 60.92 09/19/24 15:53:37 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C198 input, B1=11K, B2=gmp-ecm default 09/19/24 15:53:37 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24 09/19/24 15:53:37 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 60.92 09/19/24 15:54:10 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c209: 69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998 09/19/24 15:54:10 v1.34.5 @ RYZEN-9, nfs: input divides 710^208 - 2 09/19/24 15:54:10 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 164359394317490607539923872082704737928040117018623430416611335031566515961944494468722297236854989909547076952765260894275186159472484396357064486485059952793798977501199552138977966099303092081929 09/19/24 15:54:10 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c198: 164359394317490607539923872082704737928040117018623430416611335031566515961944494468722297236854989909547076952765260894275186159472484396357064486485059952793798977501199552138977966099303092081929 09/19/24 15:54:10 v1.34.5 @ RYZEN-9, gen: best 3 polynomials: n: 164359394317490607539923872082704737928040117018623430416611335031566515961944494468722297236854989909547076952765260894275186159472484396357064486485059952793798977501199552138977966099303092081929 # 710^208-2, difficulty: 211.85, anorm: -6.41e+026, rnorm: 2.26e+047 # scaled difficulty: 215.27, suggest sieving rational side # size = 1.527e-014, alpha = 0.504, combined = 6.156e-012, rroots = 1 type: snfs size: 211 skew: 0.1955 c5: 3500 c0: -1 Y1: -1 Y0: 100000000000000000000000000000000000000000 m: 100000000000000000000000000000000000000000 n: 164359394317490607539923872082704737928040117018623430416611335031566515961944494468722297236854989909547076952765260894275186159472484396357064486485059952793798977501199552138977966099303092081929 # 710^208-2, difficulty: 210.24, anorm: 2.87e+025, rnorm: 5.06e+047 # scaled difficulty: 213.95, suggest sieving rational side # size = 1.396e-014, alpha = 0.772, combined = 5.732e-012, rroots = 1 type: snfs size: 210 skew: 0.9776 c5: 28 c0: -25 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 n: 164359394317490607539923872082704737928040117018623430416611335031566515961944494468722297236854989909547076952765260894275186159472484396357064486485059952793798977501199552138977966099303092081929 # 710^208-2, difficulty: 210.24, anorm: -3.95e+031, rnorm: 5.35e+040 # scaled difficulty: 211.76, suggest sieving rational side # size = 1.476e-010, alpha = 0.821, combined = 4.401e-012, rroots = 2 type: snfs size: 210 skew: 0.8742 c6: 56 c0: -25 Y1: -1 Y0: 50000000000000000000000000000000000 m: 50000000000000000000000000000000000 09/19/24 15:54:12 v1.34.5 @ RYZEN-9, test: fb generation took 1.8751 seconds 09/19/24 15:54:12 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000 skew: 0.1955 c5: 3500 c0: -1 Y1: -1 Y0: 100000000000000000000000000000000000000000 m: 100000000000000000000000000000000000000000 rlim: 22600000 alim: 22600000 mfbr: 58 mfba: 58 lpbr: 29 lpba: 29 rlambda: 2.60 alambda: 2.60 09/19/24 15:57:22 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 09/19/24 15:57:24 v1.34.5 @ RYZEN-9, test: fb generation took 1.6876 seconds 09/19/24 15:57:24 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000 skew: 0.9776 c5: 28 c0: -25 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 rlim: 21400000 alim: 21400000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 09/19/24 16:00:37 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 09/19/24 16:00:40 v1.34.5 @ RYZEN-9, test: fb generation took 2.4844 seconds 09/19/24 16:00:40 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000 skew: 0.8742 c6: 56 c0: -25 Y1: -1 Y0: 50000000000000000000000000000000000 m: 50000000000000000000000000000000000 rlim: 21400000 alim: 21400000 mfbr: 56 mfba: 56 lpbr: 28 lpba: 28 rlambda: 2.60 alambda: 2.60 09/19/24 16:03:42 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 09/19/24 16:03:42 v1.34.5 @ RYZEN-9, gen: selected polynomial: n: 164359394317490607539923872082704737928040117018623430416611335031566515961944494468722297236854989909547076952765260894275186159472484396357064486485059952793798977501199552138977966099303092081929 # 7*10^208-2, difficulty: 210.24, anorm: 2.87e+025, rnorm: 5.06e+047 # scaled difficulty: 213.95, suggest sieving rational side # size = 1.396e-014, alpha = 0.772, combined = 5.732e-012, rroots = 1 type: snfs size: 210 skew: 0.9776 c5: 28 c0: -25 Y1: -1 Y0: 500000000000000000000000000000000000000000 m: 500000000000000000000000000000000000000000 09/19/24 16:03:42 v1.34.5 @ RYZEN-9, test: test sieving took 572.03 seconds 09/19/24 17:34:51 v1.34.5 @ RYZEN-9, nfs: previous data file found - commencing search for last special-q 09/19/24 17:34:51 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file 09/19/24 17:34:51 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c198: 164359394317490607539923872082704737928040117018623430416611335031566515961944494468722297236854989909547076952765260894275186159472484396357064486485059952793798977501199552138977966099303092081929 09/19/24 17:34:51 v1.34.5 @ RYZEN-9, nfs: resuming with filtering 09/20/24 22:48:30 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 09/20/24 22:50:36 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22161318 09/21/24 00:32:42 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 09/21/24 00:34:54 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23324272 09/21/24 02:30:32 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 09/21/24 02:32:51 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24617007 09/21/24 04:26:58 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 09/21/24 04:29:24 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25893347 09/21/24 06:36:25 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 09/21/24 06:38:57 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 27294886 09/21/24 08:44:07 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering 09/21/24 08:48:40 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra 09/21/24 12:32:44 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt 09/21/24 12:36:07 v1.34.5 @ RYZEN-9, prp54 = 100754440439526757060271899472669997430557053528164003 09/21/24 12:36:08 v1.34.5 @ RYZEN-9, prp145 = 1631286855452686612398977167008560943212366206699053731705609144886510366102962317856829887469294637720737206695202689154982384676336868272876643 09/21/24 12:36:08 v1.34.5 @ RYZEN-9, NFS elapsed time = 154877.3299 seconds. 09/21/24 12:36:08 v1.34.5 @ RYZEN-9, 09/21/24 12:36:08 v1.34.5 @ RYZEN-9,
software ソフトウェア	YAFU

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	3550	1200	Dmitry Domanov	September 19, 2021 23:00:23 UTC 2021 年 9 月 20 日 (月) 8 時 0 分 23 秒 (日本時間)
40	3e6	3550	2350	Ignacio Santos	February 9, 2022 22:07:51 UTC 2022 年 2 月 10 日 (木) 7 時 7 分 51 秒 (日本時間)

7×10²⁰⁹-2

c168

composite cofactor 合成数の残り	176948873620835028216336724132108797054055837368697785737772606084670375896776411350965812608259395551333555581043022784587130444883176570448024384528716598123342432529<168>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200		Dmitry Domanov	September 20, 2021 10:17:25 UTC 2021 年 9 月 20 日 (月) 19 時 17 分 25 秒 (日本時間)
45	11e6	2200 / 4169	1000	Dmitry Domanov	September 23, 2021 09:26:15 UTC 2021 年 9 月 23 日 (木) 18 時 26 分 15 秒 (日本時間)
45	11e6	2200 / 4169	1200	Dmitry Domanov	September 30, 2021 00:17:48 UTC 2021 年 9 月 30 日 (木) 9 時 17 分 48 秒 (日本時間)

7×10²¹⁰-2

c172

name 名前	Dmitry Domanov
date 日付	September 30, 2021 06:40:40 UTC 2021 年 9 月 30 日 (木) 15 時 40 分 40 秒 (日本時間)
composite number 合成数	9691388380257431409104057980664766328604432351340675926284247947623631692396372186716799308243162698177869963069660480417938691456979822750787756763602792383908987043581451<172>
prime factors 素因数	2681196886813423832092640536797971119373<40>
composite cofactor 合成数の残り	3614575426340865000699535209667588233337182539732992387813859235437449867355428797578599672095700839707801544382503138008107825652087<133>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1680269896 Step 1 took 61904ms Step 2 took 24199ms ********** Factor found in step 2: 2681196886813423832092640536797971119373 Found prime factor of 40 digits: 2681196886813423832092640536797971119373 Composite cofactor 3614575426340865000699535209667588233337182539732992387813859235437449867355428797578599672095700839707801544382503138008107825652087 has 133 digits

c133

name 名前	Jason Parker-Burlingham
date 日付	October 6, 2021 04:09:44 UTC 2021 年 10 月 6 日 (水) 13 時 9 分 44 秒 (日本時間)
composite number 合成数	3614575426340865000699535209667588233337182539732992387813859235437449867355428797578599672095700839707801544382503138008107825652087<133>
prime factors 素因数	10088683596567937515935963546269770849106962715763236091277317<62> 358280185094763501429145027431558664901446425989430374894240924163444811<72>
factorization results 素因数分解の結果	Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 53395.3 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54732/39.140/47.625/51.930/0.981 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44732/38.510/42.415/48.210/0.967 Info:Polynomial Selection (size optimized): Total time: 35389.3 Info:Generate Free Relations: Total cpu/real time for freerel: 339.28/35.3071 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 8433.1 Info:Polynomial Selection (root optimized): Rootsieve time: 8430.08 Info:Quadratic Characters: Total cpu/real time for characters: 82.04/49.1669 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 17046802 Info:Lattice Sieving: Average J: 3798.1 for 510247 special-q, max bucket fill -bkmult 1.0,1s:1.320050 Info:Lattice Sieving: Total time: 987160s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 542.38/487.356 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 485.7s Info:Filtering - Singleton removal: Total cpu/real time for purge: 936.67/161.941 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1877.71/603.684 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 564.8s Info:Filtering - Merging: Total cpu/real time for merge: 2958.4/181.034 Info:Filtering - Merging: Total cpu/real time for replay: 352.63/382.744 Info:Generate Factor Base: Total cpu/real time for makefb: 18.88/4.32891 Info:Square Root: Total cpu/real time for sqrt: 9093.6/665.552 Info:Linear Algebra: Total cpu/real time for bwc: 1.14336e+06/46301.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 115645.49, WCT time 9162.0, iteration CPU time 0.1, COMM 0.03, cpu-wait 0.12, comm-wait 0.0 (37120 iterations) Info:Linear Algebra: Lingen CPU time 971594.57, WCT time 33101.03 Info:Linear Algebra: Mksol: CPU time 55013.24, WCT time 3803.69, iteration CPU time 0.09, COMM 0.02, cpu-wait 0.08, comm-wait 0.0 (18688 iterations) Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.14742e+06/82226.1 10088683596567937515935963546269770849106962715763236091277317 358280185094763501429145027431558664901446425989430374894240924163444811 $ cat 69998_210.poly n: 3614575426340865000699535209667588233337182539732992387813859235437449867355428797578599672095700839707801544382503138008107825652087 skew: 107943.793 c0: 1353631101894861173109319776000 c1: 68459850423268785103829255 c2: -1136091379867251375402 c3: 2980424613366435 c4: 70121333332 c5: 152640 Y0: -39109722599460672936316571 Y1: 2987497253303001547 # MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.559e-07 # f(x) = 152640x^5+70121333332x^4+2980424613366435x^3-1136091379867251375402x^2+68459850423268785103829255x+1353631101894861173109319776000 # g(x) = 2987497253303001547x-39109722599460672936316571
software ソフトウェア	CADO-NFS-3.0.0-dev
execution environment 実行環境	AMD Ryzen Threadripper 2990WX 32-Core Processor with 110GB RAM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200		Dmitry Domanov	September 20, 2021 10:17:31 UTC 2021 年 9 月 20 日 (月) 19 時 17 分 31 秒 (日本時間)
45	11e6	2200 / 4169	1000	Dmitry Domanov	September 23, 2021 09:26:09 UTC 2021 年 9 月 23 日 (木) 18 時 26 分 9 秒 (日本時間)
45	11e6	2200 / 4169	1200	Dmitry Domanov	September 30, 2021 00:18:02 UTC 2021 年 9 月 30 日 (木) 9 時 18 分 2 秒 (日本時間)

7×10²¹¹-2

c173

composite cofactor 合成数の残り	20659553464074279024786574884271165927227062350909421490212422237984467628325389919284817426899913892991820302859846418189951450869450177167625689531212910758807951735254987<173>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200		Dmitry Domanov	September 20, 2021 10:17:36 UTC 2021 年 9 月 20 日 (月) 19 時 17 分 36 秒 (日本時間)
45	11e6	2200 / 4169	1000	Dmitry Domanov	September 23, 2021 09:26:04 UTC 2021 年 9 月 23 日 (木) 18 時 26 分 4 秒 (日本時間)
45	11e6	2200 / 4169	1200	Dmitry Domanov	September 30, 2021 00:18:15 UTC 2021 年 9 月 30 日 (木) 9 時 18 分 15 秒 (日本時間)

7×10²¹³-2

c212

composite cofactor 合成数の残り

59322033898305084745762711864406779661016949152542372881355932203389830508474576271186440677966101694915254237288135593220338983050847457627118644067796610169491525423728813559322033898305084745762711864406779661<212>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 20, 2021 10:18:58 UTC 2021 年 9 月 20 日 (月) 19 時 18 分 58 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 25, 2021 02:43:50 UTC 2021 年 9 月 25 日 (土) 11 時 43 分 50 秒 (日本時間)

7×10²¹⁵-2

c198

composite cofactor 合成数の残り

223877726970393875095572407799448808194548549002393421726443505245732227376780720736980804590604470243863982371452163693614494223517946273377274208041264100705866006101630713187588627258163914937987<198>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 24, 2021 16:59:34 UTC 2021 年 9 月 25 日 (土) 1 時 59 分 34 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 24, 2021 16:59:34 UTC 2021 年 9 月 25 日 (土) 1 時 59 分 34 秒 (日本時間)

7×10²¹⁶-2

c206

composite cofactor 合成数の残り

82597476429665476766233390530486516404471137623615775857641380688164806041650392156479127249946859550680613626042077105351267746643662819836076000941684766651487817313804532974658571578147063784887040993561<206>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 20, 2021 10:19:03 UTC 2021 年 9 月 20 日 (月) 19 時 19 分 3 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 26, 2021 01:33:12 UTC 2021 年 9 月 26 日 (日) 10 時 33 分 12 秒 (日本時間)

7×10²¹⁸-2

c199

composite cofactor 合成数の残り

9382076157136734770436406305517651777106784653777629481314932727045101788709286998322132394355421033217240186718831721244645840552690028385890786223269079871435039958179520012307386114605095892492279<199>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 19, 2021 19:35:16 UTC 2021 年 9 月 20 日 (月) 4 時 35 分 16 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 24, 2021 16:59:05 UTC 2021 年 9 月 25 日 (土) 1 時 59 分 5 秒 (日本時間)

7×10²¹⁹-2

c170

name 名前	Erik Branger
date 日付	August 15, 2022 15:51:21 UTC 2022 年 8 月 16 日 (火) 0 時 51 分 21 秒 (日本時間)
composite number 合成数	12738134005449853046397513466322769007535191276925650474630554287900088735874171421616174931099599837296306945071668649740382366381076265700793843191537310247954715720031<170>
prime factors 素因数	23916196456449817922760736752891544700709335311433901247977203115488203<71> 532615377559945609088413369117230898624936721738616318405612924989005740964997126981409636650722877<99>
factorization results 素因数分解の結果	Number: 69998_219 N = 12738134005449853046397513466322769007535191276925650474630554287900088735874171421616174931099599837296306945071668649740382366381076265700793843191537310247954715720031 (170 digits) SNFS difficulty: 221 digits. Divisors found: r1=23916196456449817922760736752891544700709335311433901247977203115488203 (pp71) r2=532615377559945609088413369117230898624936721738616318405612924989005740964997126981409636650722877 (pp99) Version: Msieve v. 1.52 (SVN unknown) Total time: 58.39 hours. Factorization parameters were as follows: n: 12738134005449853046397513466322769007535191276925650474630554287900088735874171421616174931099599837296306945071668649740382366381076265700793843191537310247954715720031 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 7 c0: -20 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 60000000 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/60000000 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 31213868 Relations: 7222174 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 19.34 hours. Total relation processing time: 0.43 hours. Pruned matrix : 6301887 x 6302112 Matrix solve time: 38.45 hours. time per square root: 0.17 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000 total time: 58.39 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22000-SP0 processors: 12, speed: 3.19GHz
software ソフトウェア	GGNFS, NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 19, 2021 19:39:07 UTC 2021 年 9 月 20 日 (月) 4 時 39 分 7 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 23, 2021 09:27:58 UTC 2021 年 9 月 23 日 (木) 18 時 27 分 58 秒 (日本時間)

7×10²²⁰-2

c181

name 名前	Erik Branger
date 日付	August 15, 2022 15:51:39 UTC 2022 年 8 月 16 日 (火) 0 時 51 分 39 秒 (日本時間)
composite number 合成数	1282374226148289185419267803895732269519621600905474466314299252546225471456778149361043795603499503470929480229308521825473794171451635898252443856387569697370136711178545191357281<181>
prime factors 素因数	1710419921744231303608339115041112076115452111701<49> 749742335110646474977246911988574376083909536151831690746250763379180702932208876008195262794770926127144521537823612271719954159581<132>
factorization results 素因数分解の結果	Number: 69998_220 N = 1282374226148289185419267803895732269519621600905474466314299252546225471456778149361043795603499503470929480229308521825473794171451635898252443856387569697370136711178545191357281 (181 digits) SNFS difficulty: 221 digits. Divisors found: r1=1710419921744231303608339115041112076115452111701 (pp49) r2=749742335110646474977246911988574376083909536151831690746250763379180702932208876008195262794770926127144521537823612271719954159581 (pp132) Version: Msieve v. 1.52 (SVN unknown) Total time: 54.29 hours. Factorization parameters were as follows: n: 1282374226148289185419267803895732269519621600905474466314299252546225471456778149361043795603499503470929480229308521825473794171451635898252443856387569697370136711178545191357281 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 7 c0: -2 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 60000000 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/60000000 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 31062455 Relations: 6921190 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 17.93 hours. Total relation processing time: 0.42 hours. Pruned matrix : 6113288 x 6113513 Matrix solve time: 35.77 hours. time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000 total time: 54.29 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22000-SP0 processors: 12, speed: 3.19GHz
software ソフトウェア	GGNFS, NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 19, 2021 19:38:21 UTC 2021 年 9 月 20 日 (月) 4 時 38 分 21 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 23, 2021 09:27:53 UTC 2021 年 9 月 23 日 (木) 18 時 27 分 53 秒 (日本時間)

7×10²²¹-2

c178

name 名前	Erik Branger
date 日付	December 12, 2021 18:19:12 UTC 2021 年 12 月 13 日 (月) 3 時 19 分 12 秒 (日本時間)
composite number 合成数	1048485408202229065991126851076298004878571063394245432550787457584172837673733781489320764135994049188160885549194690898290408819246465346829442170338019302133540324183103481553<178>
prime factors 素因数	1494578290973814317328300156361034713793015343807050479<55> 701525918404095835402729867311039996597634580221196135222184645163883053216925173737935012703605463760351177604667250655807<123>
factorization results 素因数分解の結果	Number: 69998_221 N = 1048485408202229065991126851076298004878571063394245432550787457584172837673733781489320764135994049188160885549194690898290408819246465346829442170338019302133540324183103481553 (178 digits) SNFS difficulty: 222 digits. Divisors found: r1=1494578290973814317328300156361034713793015343807050479 (pp55) r2=701525918404095835402729867311039996597634580221196135222184645163883053216925173737935012703605463760351177604667250655807 (pp123) Version: Msieve v. 1.52 (SVN unknown) Total time: 72.81 hours. Factorization parameters were as follows: n: 1048485408202229065991126851076298004878571063394245432550787457584172837673733781489320764135994049188160885549194690898290408819246465346829442170338019302133540324183103481553 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 35 c0: -1 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Relations: 7028326 relations Pruned matrix : 6296541 x 6296767 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 30.88 hours. Total relation processing time: 0.34 hours. Matrix solve time: 41.33 hours. time per square root: 0.26 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 72.81 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.19041-SP0 processors: 8, speed: 3.50GHz
software ソフトウェア	GGNFS, NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 19, 2021 16:39:41 UTC 2021 年 9 月 20 日 (月) 1 時 39 分 41 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 23, 2021 09:27:47 UTC 2021 年 9 月 23 日 (木) 18 時 27 分 47 秒 (日本時間)

7×10²²²-2

c208

name 名前	Erik Branger
date 日付	March 8, 2022 18:55:14 UTC 2022 年 3 月 9 日 (水) 3 時 55 分 14 秒 (日本時間)
composite number 合成数	5306536555975147038624024953025213684124606582472555017296456134227255567398626277910713381367905775067575194825698748233461931608511603627708980405820649140834903490182836565130192417159087838243465975981453<208>
prime factors 素因数	47697804814585971082779248195561373502242380795757172751019532253513<68> 111253265776130857098660986572906395749433318078518294181658994110402123355813456723201523951239154832471118374172482129431234291179328761381<141>
factorization results 素因数分解の結果	Number: 69998_222 N = 5306536555975147038624024953025213684124606582472555017296456134227255567398626277910713381367905775067575194825698748233461931608511603627708980405820649140834903490182836565130192417159087838243465975981453 (208 digits) SNFS difficulty: 223 digits. Divisors found: r1=47697804814585971082779248195561373502242380795757172751019532253513 (pp68) r2=111253265776130857098660986572906395749433318078518294181658994110402123355813456723201523951239154832471118374172482129431234291179328761381 (pp141) Version: Msieve v. 1.52 (SVN unknown) Total time: 77.95 hours. Factorization parameters were as follows: n: 5306536555975147038624024953025213684124606582472555017296456134227255567398626277910713381367905775067575194825698748233461931608511603627708980405820649140834903490182836565130192417159087838243465975981453 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 350 c0: -1 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 60000000 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/60000000 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 33914458 Relations: 9382978 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 28.41 hours. Total relation processing time: 0.45 hours. Pruned matrix : 8049019 x 8049244 Matrix solve time: 48.84 hours. time per square root: 0.25 hours. Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000 total time: 77.95 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22000-SP0 processors: 12, speed: 3.19GHz
software ソフトウェア	GGNFS, NFS_factory, Msieve

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 20, 2021 10:19:11 UTC 2021 年 9 月 20 日 (月) 19 時 19 分 11 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 25, 2021 19:17:52 UTC 2021 年 9 月 26 日 (日) 4 時 17 分 52 秒 (日本時間)

7×10²²³-2

c163

composite cofactor 合成数の残り	1428900426141603065504624023398946203897540161781594462048056983717605115275896172074034107945654093438714008456188088741354695607162119730909687982576115129668321<163>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 19, 2021 18:39:30 UTC 2021 年 9 月 20 日 (月) 3 時 39 分 30 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 23, 2021 09:27:42 UTC 2021 年 9 月 23 日 (木) 18 時 27 分 42 秒 (日本時間)

7×10²²⁴-2

c197

composite cofactor 合成数の残り

17410325452819848747934652889753093890427918838751283407345305205988420522521248131696626234316786597987591712459812092256996428615109570982976556906309023536747386987629038993039147039314361988147<197>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 19, 2021 15:20:42 UTC 2021 年 9 月 20 日 (月) 0 時 20 分 42 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 24, 2021 16:58:59 UTC 2021 年 9 月 25 日 (土) 1 時 58 分 59 秒 (日本時間)

7×10²²⁵-2

c126

name 名前	Eric Jeancolas
date 日付	September 12, 2021 19:04:10 UTC 2021 年 9 月 13 日 (月) 4 時 4 分 10 秒 (日本時間)
composite number 合成数	367949603238372487063795958809860232140272947272236402080295918458720069797340662721368021127436959593478012400786718273022997<126>
prime factors 素因数	1963538376097290662261440801453297<34> 187391093404400609221699424621086019297197949027161109285584872122250316875673169112469920101<93>
factorization results 素因数分解の結果	367949603238372487063795958809860232140272947272236402080295918458720069797340662721368021127436959593478012400786718273022997=1963538376097290662261440801453297187391093404400609221699424621086019297197949027161109285584872122250316875673169112469920101 cado polynomial n: 367949603238372487063795958809860232140272947272236402080295918458720069797340662721368021127436959593478012400786718273022997 skew: 91348.184 c0: -132649628998244159064850656510 c1: -29192405667325733467587315 c2: -1093488909551807792504 c3: 7671071402285143 c4: 44960449042 c5: 157080 Y0: -1208490737930449088062664 Y1: 2751181313547485569 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.374e-07 # f(x) = 157080x^5+44960449042x^4+7671071402285143x^3-1093488909551807792504x^2-29192405667325733467587315x-132649628998244159064850656510 # g(x) = 2751181313547485569*x-1208490737930449088062664 cado parameters (extracts) tasks.lim0 = 2377918 tasks.lim1 = 9209388 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 57 tasks.sieve.mfb1 = 53 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 1963538376097290662261440801453297 187391093404400609221699424621086019297197949027161109285584872122250316875673169112469920101 Info:Square Root: Total cpu/real time for sqrt: 2729.05/247.12 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 19925.9 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20105/37.410/44.748/48.780/0.858 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15988/36.200/40.121/45.530/0.992 Info:Polynomial Selection (size optimized): Total time: 3199.91 Info:Generate Factor Base: Total cpu/real time for makefb: 10.25/1.18704 Info:Generate Free Relations: Total cpu/real time for freerel: 163.69/14.6639 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 363.95/298.465 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 245.8s Info:Quadratic Characters: Total cpu/real time for characters: 34.35/8.08846 Info:Square Root: Total cpu/real time for sqrt: 2729.05/247.12 Info:Linear Algebra: Total cpu/real time for bwc: 12811.5/2334.89 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 8045.31, WCT time 1477.06, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26112 iterations) Info:Linear Algebra: Lingen CPU time 359.8, WCT time 31.46 Info:Linear Algebra: Mksol: CPU time 4289.04, WCT time 793.05, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations) Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 12056446 Info:Lattice Sieving: Average J: 3782.27 for 236217 special-q, max bucket fill -bkmult 1.0,1s:1.153910 Info:Lattice Sieving: Total time: 149708s Info:Filtering - Singleton removal: Total cpu/real time for purge: 228.88/252.892 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 110.47/101.819 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 100.9s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 5558.56 Info:Polynomial Selection (root optimized): Rootsieve time: 5554.56 Info:Filtering - Merging: Merged matrix has 827506 rows and total weight 141387736 (170.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 218.83/26.3122 Info:Filtering - Merging: Total cpu/real time for replay: 29.43/22.3076 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 304000/28875.8 Info:root: Cleaning up computation data in /tmp/cado.9nbvpc0w 1963538376097290662261440801453297 187391093404400609221699424621086019297197949027161109285584872122250316875673169112469920101
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)

7×10²²⁶-2

c221

composite cofactor 合成数の残り

31063370162656681420288285825606689807398229742910673285235402656716921282757433242598708296316150556167454640823126057818694646183776223031447668427811834079002138047392052569872613556587253900449886352441447766055546631<221>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 20, 2021 10:19:28 UTC 2021 年 9 月 20 日 (月) 19 時 19 分 28 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 26, 2021 17:49:06 UTC 2021 年 9 月 27 日 (月) 2 時 49 分 6 秒 (日本時間)

7×10²²⁷-2

c198

composite cofactor 合成数の残り

793086976520899014563138307092777867160447845382482737196926590404786068170456289368836455255194350519040453972413958123872828434523604150300965166655925340167825582237460562283818416766125662320153<198>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 19, 2021 12:56:31 UTC 2021 年 9 月 19 日 (日) 21 時 56 分 31 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 24, 2021 16:58:52 UTC 2021 年 9 月 25 日 (土) 1 時 58 分 52 秒 (日本時間)

7×10²²⁸-2

c204

composite cofactor 合成数の残り

500767206331414119391762195124998448559831574207967355309558226834887546644812452672690134160263652275021054593085452636300370934506310525062342956868971275318169553820676509834270689429886847054881151703<204>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 20, 2021 10:19:18 UTC 2021 年 9 月 20 日 (月) 19 時 19 分 18 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 25, 2021 02:41:25 UTC 2021 年 9 月 25 日 (土) 11 時 41 分 25 秒 (日本時間)

7×10²²⁹-2

c224

composite cofactor 合成数の残り

20060628952302129120524831906258400388373776516569219773360745705162631518916313360780094812264036851948546206219826664702635565431753453723854552415844228643024546758746864093824134770744266528955225249339288856435249161609<224>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 17, 2021 22:19:31 UTC 2021 年 9 月 18 日 (土) 7 時 19 分 31 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 26, 2021 17:49:00 UTC 2021 年 9 月 27 日 (月) 2 時 49 分 0 秒 (日本時間)

7×10²³⁰-2

c231

composite cofactor 合成数の残り

349999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<231>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 17, 2021 18:18:34 UTC 2021 年 9 月 18 日 (土) 3 時 18 分 34 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 26, 2021 23:20:42 UTC 2021 年 9 月 27 日 (月) 8 時 20 分 42 秒 (日本時間)

7×10²³¹-2

c183

composite cofactor 合成数の残り	944214723229908801787812697066504788076913428521052430289329875656110255332295561711088420982306935069678204802159036959066962639631774239841330496439718788139924385124232853661720569<183>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 19, 2021 09:51:10 UTC 2021 年 9 月 19 日 (日) 18 時 51 分 10 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 23, 2021 09:50:18 UTC 2021 年 9 月 23 日 (木) 18 時 50 分 18 秒 (日本時間)

7×10²³²-2

c197

composite cofactor 合成数の残り

36850901082276980200924231193469006119160870839625327805651350122056554636761490646238260504160139435649346412445328414217180274111437720964096958452428068593376943562647495670736109448638975223601<197>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 19, 2021 11:06:49 UTC 2021 年 9 月 19 日 (日) 20 時 6 分 49 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 24, 2021 17:16:15 UTC 2021 年 9 月 25 日 (土) 2 時 16 分 15 秒 (日本時間)

7×10²³⁶-2

c210

name 名前	Dmitry Domanov
date 日付	September 21, 2021 11:09:51 UTC 2021 年 9 月 21 日 (火) 20 時 9 分 51 秒 (日本時間)
composite number 合成数	264920945047441945144761165252235659478085036012585689091323680261694644849263270308720802642138483916377974812187117482161213373202201293274354368585317466640498055891704853110920327516790367534693235062251633<210>
prime factors 素因数	15505323480878375933449193296897096363<38>
composite cofactor 合成数の残り	17085805747564718628657234156266337163814603373630722577759388246485481094549234431734013206133708110661957754087505841494467130129605046362904193661638724736044094588670291<173>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4216656658 Step 1 took 8670ms Step 2 took 1423ms ********** Factor found in step 2: 15505323480878375933449193296897096363 Found prime factor of 38 digits: 15505323480878375933449193296897096363 Composite cofactor 17085805747564718628657234156266337163814603373630722577759388246485481094549234431734013206133708110661957754087505841494467130129605046362904193661638724736044094588670291 has 173 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 20, 2021 10:19:35 UTC 2021 年 9 月 20 日 (月) 19 時 19 分 35 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 23, 2021 09:50:13 UTC 2021 年 9 月 23 日 (木) 18 時 50 分 13 秒 (日本時間)

7×10²³⁷-2

c205

name 名前	Dmitry Domanov
date 日付	September 21, 2021 04:07:05 UTC 2021 年 9 月 21 日 (火) 13 時 7 分 5 秒 (日本時間)
composite number 合成数	5735810672957198314733339737521746927522247189850979416586908411194204642943385871654488439642803257833170845504151384271811782541990585377441267854341681897174167459295082885102920760662237127101180431527<205>
prime factors 素因数	24506854959997534221475896377542176103<38> 234049235706488852060857329383633799154573927948270636394045782915989032752007268764787158977439890846695447930325159269586925435268034411291371316628225161330853142209<168>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1715530799 Step 1 took 10855ms Step 2 took 5563ms ********** Factor found in step 2: 24506854959997534221475896377542176103 Found prime factor of 38 digits: 24506854959997534221475896377542176103 Prime cofactor 234049235706488852060857329383633799154573927948270636394045782915989032752007268764787158977439890846695447930325159269586925435268034411291371316628225161330853142209 has 168 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200 / 2078		Dmitry Domanov	September 20, 2021 10:19:43 UTC 2021 年 9 月 20 日 (月) 19 時 19 分 43 秒 (日本時間)

7×10²⁴⁰-2

c228

composite cofactor 合成数の残り

120186085203814456484818981651559763145404340971805423487563139613788085204016794291991959547197171899902049834743207465124319266605369280509300539154992371878267947496516339358604219469846080973873328111814447455514072829555711<228>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 17, 2021 21:39:05 UTC 2021 年 9 月 18 日 (土) 6 時 39 分 5 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 26, 2021 23:20:54 UTC 2021 年 9 月 27 日 (月) 8 時 20 分 54 秒 (日本時間)

7×10²⁴²-2

c218

composite cofactor 合成数の残り

10555311394012930614543056712973235364717213197084802560394804495557619879822774849586412541662365906804302987860908609807007298590726812769264510581536618123000172947974325883956158678479379876631428187302699938434043<218>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 18, 2021 16:13:01 UTC 2021 年 9 月 19 日 (日) 1 時 13 分 1 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 26, 2021 01:34:17 UTC 2021 年 9 月 26 日 (日) 10 時 34 分 17 秒 (日本時間)

7×10²⁴⁴-2

c203

composite cofactor 合成数の残り

24083921684563056306341199618429465442297590662255251398474249948318582472372888758352889549590321116471403692089638080594845788413552952804716145744305694769500917255252151305312489202773800365718375137<203>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 18, 2021 19:54:48 UTC 2021 年 9 月 19 日 (日) 4 時 54 分 48 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 25, 2021 19:18:53 UTC 2021 年 9 月 26 日 (日) 4 時 18 分 53 秒 (日本時間)

7×10²⁴⁵-2

c188

composite cofactor 合成数の残り	19539499111161042103191069506099470376113712199752813237619366956573957816689800567300233248286552636663211703878853997151482213830863102047582130589449358874066725275191844465851562958787<188>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 18, 2021 20:31:23 UTC 2021 年 9 月 19 日 (日) 5 時 31 分 23 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 23, 2021 09:50:08 UTC 2021 年 9 月 23 日 (木) 18 時 50 分 8 秒 (日本時間)

7×10²⁴⁶-2

c189

composite cofactor 合成数の残り	361143472523731617787807141385300991746561229909950113972307944887783237316147186537511627401591591707794559033124680747003190874910932819294134243857633999872656447976101788958791258416629<189>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 18, 2021 20:18:28 UTC 2021 年 9 月 19 日 (日) 5 時 18 分 28 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 23, 2021 09:50:03 UTC 2021 年 9 月 23 日 (木) 18 時 50 分 3 秒 (日本時間)

7×10²⁴⁷-2

c205

composite cofactor 合成数の残り

1900267094390991491480904831754698582497707363825945264825548701306788363944470745154349908330632245055618834590433954056786577814553437387983722211616807585002304548485452646902948862935496569912387014911<205>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 18, 2021 19:29:11 UTC 2021 年 9 月 19 日 (日) 4 時 29 分 11 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 26, 2021 01:34:41 UTC 2021 年 9 月 26 日 (日) 10 時 34 分 41 秒 (日本時間)

7×10²⁴⁹-2

c225

composite cofactor 合成数の残り

432704669262701429328691889322577586344908145064989423098921073715014717396183463239684797093240289399828575824381124278408144204573639384524721467167325841801831000638465928072560655074032361502198519520841827992884567622471<225>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 15, 2021 23:36:57 UTC 2021 年 9 月 16 日 (木) 8 時 36 分 57 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 26, 2021 23:21:02 UTC 2021 年 9 月 27 日 (月) 8 時 21 分 2 秒 (日本時間)

7×10²⁵⁰-2

c220

composite cofactor 合成数の残り

9025302083695883418858213354260362368646007900612877082265149285049050430153915291595199912040528617239016791082084747992330875374169134510984906058274204337892672730333487748247227489309280917295600301553877916188085193<220>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 15, 2021 23:36:48 UTC 2021 年 9 月 16 日 (木) 8 時 36 分 48 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 26, 2021 01:34:55 UTC 2021 年 9 月 26 日 (日) 10 時 34 分 55 秒 (日本時間)

7×10²⁵⁴-2

c240

composite cofactor 合成数の残り

330737629916198234881868766063974256399163896620099539902485159240866953099435306132013944435058706346329969043577290361416051973706792276976580346248695658871781102715751396985049470512346696414423903315318204905675096912785346767889937923<240>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 17, 2021 07:57:50 UTC 2021 年 9 月 17 日 (金) 16 時 57 分 50 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 28, 2021 11:38:53 UTC 2021 年 9 月 28 日 (火) 20 時 38 分 53 秒 (日本時間)

7×10²⁵⁵-2

c235

composite cofactor 合成数の残り

1353596029558345254441088307852184678649329131406575259579309892941380867463987655014312209429794974937748350911576333095609072051854257665058418171184602316915458784167288276761664073269003992226207595472758912812508386763438166715727<235>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 17, 2021 21:33:33 UTC 2021 年 9 月 18 日 (土) 6 時 33 分 33 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 28, 2021 12:12:21 UTC 2021 年 9 月 28 日 (火) 21 時 12 分 21 秒 (日本時間)

7×10²⁵⁶-2

c237

composite cofactor 合成数の残り

163034787356526687432876621538998406692907959843705058652778399249516984391758002574518496751406351291870099783266781885590382256785141820464760714336952869669714827247977750772092765225232356413385661321976829953000254436964727335850379<237>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 17, 2021 18:19:47 UTC 2021 年 9 月 18 日 (土) 3 時 19 分 47 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 28, 2021 11:39:03 UTC 2021 年 9 月 28 日 (火) 20 時 39 分 3 秒 (日本時間)

7×10²⁵⁷-2

c222

composite cofactor 合成数の残り

180057996194751459439913913460450832139380680943079827885371535721305689015778527242864298874894560392225370380048357435169293999482182554716832307236513814263240648845130297232278828168415030352539653516225156226302141817<222>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 15, 2021 23:36:35 UTC 2021 年 9 月 16 日 (木) 8 時 36 分 35 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 26, 2021 23:21:11 UTC 2021 年 9 月 27 日 (月) 8 時 21 分 11 秒 (日本時間)

7×10²⁵⁹-2

c188

name 名前	Dmitry Domanov
date 日付	September 17, 2021 07:55:43 UTC 2021 年 9 月 17 日 (金) 16 時 55 分 43 秒 (日本時間)
composite number 合成数	10417665040296407329541838326546503681035629517242137849452439997279464762980951584014981490674169180280419677345029132031671037346929879778320425413014454404305988419630746420337272052473<188>
prime factors 素因数	169375696535404941233395792973817643909<39>
composite cofactor 合成数の残り	61506256525526859939846171152628139504160418359114087079816573027744023606790001610292340539718998639715637003755084384699259700036414684908850573797<149>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2085592334 Step 1 took 7467ms Step 2 took 1837ms ********** Factor found in step 2: 169375696535404941233395792973817643909 Found prime factor of 39 digits: 169375696535404941233395792973817643909 Composite cofactor 61506256525526859939846171152628139504160418359114087079816573027744023606790001610292340539718998639715637003755084384699259700036414684908850573797 has 149 digits

c149

name 名前	Ignacio Santos
date 日付	September 18, 2021 09:51:16 UTC 2021 年 9 月 18 日 (土) 18 時 51 分 16 秒 (日本時間)
composite number 合成数	61506256525526859939846171152628139504160418359114087079816573027744023606790001610292340539718998639715637003755084384699259700036414684908850573797<149>
prime factors 素因数	437675907925536895988168429457381226919009<42> 140529225876401454345032912441070044981644686256731938596791293156311041067932734314388425265110346175638533<108>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2612535810 Step 1 took 5937ms Step 2 took 3406ms ********** Factor found in step 2: 437675907925536895988168429457381226919009 Found prime factor of 42 digits: 437675907925536895988168429457381226919009 Prime cofactor 140529225876401454345032912441070044981644686256731938596791293156311041067932734314388425265110346175638533 has 108 digits
software ソフトウェア	GMP-ECM

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200 / 2078		Dmitry Domanov	September 17, 2021 07:07:03 UTC 2021 年 9 月 17 日 (金) 16 時 7 分 3 秒 (日本時間)

7×10²⁶⁰-2

c229

composite cofactor 合成数の残り

1067279690087914635647803085721433840576481461226033869053670231645116356426937549384581050035884329160338472917331541107560273081464203558735836510880151083630298031994573817283364243434630367759571750842678465502583670051913167<229>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 15, 2021 23:36:24 UTC 2021 年 9 月 16 日 (木) 8 時 36 分 24 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 26, 2021 23:21:20 UTC 2021 年 9 月 27 日 (月) 8 時 21 分 20 秒 (日本時間)

7×10²⁶¹-2

c259

composite cofactor 合成数の残り

4252733900364520048602673147023086269744835965978128797083839611178614823815309842041312272174969623329283110571081409477521263669501822600243013365735115431348724179829890643985419198055893074119076549210206561360874848116646415552855407047387606318347509113<259>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 23:11:25 UTC 2021 年 9 月 13 日 (月) 8 時 11 分 25 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 29, 2021 19:17:39 UTC 2021 年 9 月 30 日 (木) 4 時 17 分 39 秒 (日本時間)

7×10²⁶²-2

c263

composite cofactor 合成数の残り

34999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<263>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 23:10:22 UTC 2021 年 9 月 13 日 (月) 8 時 10 分 22 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 29, 2021 19:17:49 UTC 2021 年 9 月 30 日 (木) 4 時 17 分 49 秒 (日本時間)

7×10²⁶⁴-2

c238

name 名前	Dmitry Domanov
date 日付	September 16, 2021 19:01:08 UTC 2021 年 9 月 17 日 (金) 4 時 1 分 8 秒 (日本時間)
composite number 合成数	1323203558858428051016420840593932493691834035017970928794885627563131151113944645104147056949123302700601262559276078241524463551387128262583763750605447804003749912011435017628825395767814027110619877634667923690936097583998672024562111<238>
prime factors 素因数	11654032193401130328094772726513384711<38>
composite cofactor 合成数の残り	113540407036773624115021851711698848996982220920624016796606554043633636781658343973232672604795445964519610840083374217550156896479204908903376541490299774888844959910547706380287437787677954915563401<201>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1610576718 Step 1 took 14329ms Step 2 took 6503ms ********** Factor found in step 2: 11654032193401130328094772726513384711 Found prime factor of 38 digits: 11654032193401130328094772726513384711 Composite cofactor 113540407036773624115021851711698848996982220920624016796606554043633636781658343973232672604795445964519610840083374217550156896479204908903376541490299774888844959910547706380287437787677954915563401 has 201 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 15, 2021 23:30:27 UTC 2021 年 9 月 16 日 (木) 8 時 30 分 27 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 26, 2021 01:35:13 UTC 2021 年 9 月 26 日 (日) 10 時 35 分 13 秒 (日本時間)

7×10²⁶⁷-2

c261

composite cofactor 合成数の残り

100778908667501557538033456236571750307066136216400995707135224477388653774894298041644090991376233609426271719690433683029427815652571219806890910488202115499021595163695037378753254906802688631554584635552800676105542468534449211158851199912558460045294648591<261>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 23:10:34 UTC 2021 年 9 月 13 日 (月) 8 時 10 分 34 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 29, 2021 19:17:57 UTC 2021 年 9 月 30 日 (木) 4 時 17 分 57 秒 (日本時間)

7×10²⁷⁰-2

c268

composite cofactor 合成数の残り

6876227897838899803536345776031434184675834970530451866404715127701375245579567779960707269155206286836935166994106090373280943025540275049115913555992141453831041257367387033398821218074656188605108055009823182711198428290766208251473477406679764243614931237721021611<268>

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	3598	1248	Dmitry Domanov	September 12, 2021 19:05:48 UTC 2021 年 9 月 13 日 (月) 4 時 5 分 48 秒 (日本時間)
40	3e6	3598	2350	Ignacio Santos	February 9, 2022 22:18:32 UTC 2022 年 2 月 10 日 (木) 7 時 18 分 32 秒 (日本時間)

7×10²⁷¹-2

c249

composite cofactor 合成数の残り

127800791991555294771874804341917239683201018013974448996959274275695752089348096973554817031897373423059148216625042734224700817092351231156801229479826589848911238228863110082078063275710154716691396420625869280992856131205763323461505855363918631<249>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 15, 2021 23:29:44 UTC 2021 年 9 月 16 日 (木) 8 時 29 分 44 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 28, 2021 21:13:06 UTC 2021 年 9 月 29 日 (水) 6 時 13 分 6 秒 (日本時間)

7×10²⁷²-2

c255

composite cofactor 合成数の残り

114568774609224920106165584378054073223598903049593569926148612058684641787556351237781193460395126990377074875103485824488803549034497058840132784828879154156685228860709373155044674618935798758197090319281422579314945255744769468015439517237608089375371<255>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 13, 2021 19:35:42 UTC 2021 年 9 月 14 日 (火) 4 時 35 分 42 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 28, 2021 21:13:01 UTC 2021 年 9 月 29 日 (水) 6 時 13 分 1 秒 (日本時間)

7×10²⁷³-2

c269

composite cofactor 合成数の残り

20206335552181418253826213967773781413635235230612021037681929185453747697921056733616991796227765814344188946557129083844746064094496371519458701136750705778434644050966151501330731527079376259287697805591959033097977634473163099767338479213453955534515307742490459723<269>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 19:05:53 UTC 2021 年 9 月 13 日 (月) 4 時 5 分 53 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 29, 2021 19:18:15 UTC 2021 年 9 月 30 日 (木) 4 時 18 分 15 秒 (日本時間)

7×10²⁷⁵-2

c260

composite cofactor 合成数の残り

83625686895060893175707438550093668858461097469061157388654415980980958444548980827504665975110466333330963722718737218615108156133305505674946101731446131845940302056278275893307112720003067960713811915050156859695469662257781403555126959294185377299137554601<260>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 23:10:46 UTC 2021 年 9 月 13 日 (月) 8 時 10 分 46 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 29, 2021 19:19:03 UTC 2021 年 9 月 30 日 (木) 4 時 19 分 3 秒 (日本時間)

7×10²⁷⁶-2

c219

name 名前	Dmitry Domanov
date 日付	September 16, 2021 03:18:27 UTC 2021 年 9 月 16 日 (木) 12 時 18 分 27 秒 (日本時間)
composite number 合成数	278891256959256206788873447163606844305003173216039010364028672729200899874581101508100972644177452031106911857755552211490568481876856865124904883317019663695431905022715605502859008186661416887725236504336886272344967<219>
prime factors 素因数	239867009061903007566465453211683455092363<42>
composite cofactor 合成数の残り	1162691184794329617788694644262549791687565795590493045660845961862792446408451955440102472705516097197885302059446955618037289986446572208852019608528712760174868602808065249909<178>
factorization results 素因数分解の結果	Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:356394873 Step 1 took 12641ms Step 2 took 5324ms ********** Factor found in step 2: 239867009061903007566465453211683455092363 Found prime factor of 42 digits: 239867009061903007566465453211683455092363 Composite cofactor 1162691184794329617788694644262549791687565795590493045660845961862792446408451955440102472705516097197885302059446955618037289986446572208852019608528712760174868602808065249909 has 178 digits

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	3550	1200	Dmitry Domanov	September 15, 2021 23:29:57 UTC 2021 年 9 月 16 日 (木) 8 時 29 分 57 秒 (日本時間)
40	3e6	3550	2350	Ignacio Santos	September 18, 2021 10:04:45 UTC 2021 年 9 月 18 日 (土) 19 時 4 分 45 秒 (日本時間)
45	11e6	4480		Ignacio Santos	September 18, 2021 19:17:30 UTC 2021 年 9 月 19 日 (日) 4 時 17 分 30 秒 (日本時間)
50	43e6	1792 / 6408		Dmitry Domanov	May 3, 2024 23:08:26 UTC 2024 年 5 月 4 日 (土) 8 時 8 分 26 秒 (日本時間)

7×10²⁷⁷-2

c248

composite cofactor 合成数の残り

58438764784562779190549005765737084846186919420063379290990048843454893281391304119937110758739364954430910675922738276572614984665761956069717470006882338247665045054661096672107470738361014763372114484626444479955921224865976095148336733055562801<248>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 13, 2021 19:37:10 UTC 2021 年 9 月 14 日 (火) 4 時 37 分 10 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 28, 2021 21:12:55 UTC 2021 年 9 月 29 日 (水) 6 時 12 分 55 秒 (日本時間)

7×10²⁷⁸-2

c279

composite cofactor 合成数の残り

349999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<279>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 19:06:01 UTC 2021 年 9 月 13 日 (月) 4 時 6 分 1 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 29, 2021 19:19:19 UTC 2021 年 9 月 30 日 (木) 4 時 19 分 19 秒 (日本時間)

7×10²⁷⁹-2

c256

name 名前	Dmitry Domanov
date 日付	September 30, 2021 06:25:58 UTC 2021 年 9 月 30 日 (木) 15 時 25 分 58 秒 (日本時間)
composite number 合成数	2652994259564246415848676504644098083381767515118028052314432483318471020050875241948371203075171572906131041131533251776849822359666931876312104529990216323889087370670363223513803753098328456070434770980909484710318003445610035885403780693682907377182913<256>
prime factors 素因数	13774916528792900947314543677077660676227<41> 192596031636115395262406688055820885802287480807380009398229397106552833616305409306437636077025470686353764213405271932152322071710932830337906778884541565891508666006454114683246942707490236348768016348428911539819<216>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1922123060 Step 1 took 78853ms Step 2 took 29960ms ********** Factor found in step 2: 13774916528792900947314543677077660676227 Found prime factor of 41 digits: 13774916528792900947314543677077660676227 Prime cofactor 192596031636115395262406688055820885802287480807380009398229397106552833616305409306437636077025470686353764213405271932152322071710932830337906778884541565891508666006454114683246942707490236348768016348428911539819 has 216 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 13, 2021 19:35:35 UTC 2021 年 9 月 14 日 (火) 4 時 35 分 35 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 28, 2021 21:14:02 UTC 2021 年 9 月 29 日 (水) 6 時 14 分 2 秒 (日本時間)

7×10²⁸¹-2

c269

composite cofactor 合成数の残り

57339900051325588200893853007487180660884864313512609334291997642812805661023281910702401336476287889607384951951825923219901451099475899367172948183159430735306340208565322106629806767055839288185416277388992828982351005833318924632451822372001878890792931389954392991<269>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 19:06:06 UTC 2021 年 9 月 13 日 (月) 4 時 6 分 6 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 29, 2021 19:19:31 UTC 2021 年 9 月 30 日 (木) 4 時 19 分 31 秒 (日本時間)

7×10²⁸³-2

c233

composite cofactor 合成数の残り

25984772236675351026897469917147980134152677577755527228933754833488158934410359464240962784237976392511447594724663487127244413033465179671471683728196445868362995229568509065608587487206586984431293636291464206093142494773576748357<233>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 15, 2021 23:29:30 UTC 2021 年 9 月 16 日 (木) 8 時 29 分 30 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 26, 2021 23:22:46 UTC 2021 年 9 月 27 日 (月) 8 時 22 分 46 秒 (日本時間)

7×10²⁸⁴-2

c276

composite cofactor 合成数の残り

664049342114269015043899343878837845424973336569062373352153731247623663855172189350968171703321870975262156577230294097189316864494776167626559793325988024264750006757650697929993326664595680172716274121139375785308309391524435060638813531884415488031101612304782703257103397<276>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 19:06:13 UTC 2021 年 9 月 13 日 (月) 4 時 6 分 13 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 26, 2021 15:53:37 UTC 2021 年 9 月 27 日 (月) 0 時 53 分 37 秒 (日本時間)

7×10²⁸⁵-2

c250

composite cofactor 合成数の残り

1180360961753630825826811552177854908546392250667095896520911179491835998429853203050586856387714986275421643369182710471105798576932530612836683861461983857959259335320218294004395400467942178891519125735016556003252503522101230114385567860673588889<250>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 13, 2021 19:36:08 UTC 2021 年 9 月 14 日 (火) 4 時 36 分 8 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 28, 2021 21:14:25 UTC 2021 年 9 月 29 日 (水) 6 時 14 分 25 秒 (日本時間)

7×10²⁸⁶-2

c170

name 名前	Ignacio Santos
date 日付	September 12, 2021 21:25:37 UTC 2021 年 9 月 13 日 (月) 6 時 25 分 37 秒 (日本時間)
composite number 合成数	58223365599718362253121521977705783504773783975600922423519710167259410772902384855343813854073546555068231165386689262049738914142110661064093337568362621055488063147493<170>
prime factors 素因数	74458615859792474957196133585649399215946821<44>
composite cofactor 合成数の残り	781956056091003431622648350848151663781621192975656600559943161568924011881150537259407430400207041527041756515161340617094433<126>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3554920068 Step 1 took 17218ms ********** Factor found in step 2: 74458615859792474957196133585649399215946821 Found prime factor of 44 digits: 74458615859792474957196133585649399215946821 Composite cofactor 781956056091003431622648350848151663781621192975656600559943161568924011881150537259407430400207041527041756515161340617094433 has 126 digits
software ソフトウェア	GMP-ECM

c126

name 名前	Eric Jeancolas
date 日付	September 15, 2021 09:03:09 UTC 2021 年 9 月 15 日 (水) 18 時 3 分 9 秒 (日本時間)
composite number 合成数	781956056091003431622648350848151663781621192975656600559943161568924011881150537259407430400207041527041756515161340617094433<126>
prime factors 素因数	856199345816263425728191520900613092900221182268259659<54> 913287378589994538363562533439492487130193829060866767750094540163329987<72>
factorization results 素因数分解の結果	781956056091003431622648350848151663781621192975656600559943161568924011881150537259407430400207041527041756515161340617094433=913287378589994538363562533439492487130193829060866767750094540163329987856199345816263425728191520900613092900221182268259659 cado polynomial n: 781956056091003431622648350848151663781621192975656600559943161568924011881150537259407430400207041527041756515161340617094433 skew: 197085.652 c0: -316680841512783435682120981998 c1: 34590040995924850603088321 c2: -237287408421386264058 c3: -2820282622672211 c4: 3601892706 c5: 6840 Y0: -3656738486017593651087392 Y1: 370438544294383339 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.639e-07 # f(x) = 6840x^5+3601892706x^4-2820282622672211x^3-237287408421386264058x^2+34590040995924850603088321x-316680841512783435682120981998 # g(x) = 370438544294383339*x-3656738486017593651087392 cado parameters (extracts) tasks.lim0 = 2377918 tasks.lim1 = 9209388 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 57 tasks.sieve.mfb1 = 53 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 913287378589994538363562533439492487130193829060866767750094540163329987 856199345816263425728191520900613092900221182268259659 Info:Square Root: Total cpu/real time for sqrt: 2377.3/216.88 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 19925.9 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20170/36.960/44.872/49.130/0.847 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15943/36.930/40.254/45.660/1.023 Info:Polynomial Selection (size optimized): Total time: 3042.88 Info:Generate Factor Base: Total cpu/real time for makefb: 9.9/1.04148 Info:Generate Free Relations: Total cpu/real time for freerel: 149.76/13.7553 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 279.49/209.067 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 182.8s Info:Quadratic Characters: Total cpu/real time for characters: 33.07/7.61049 Info:Square Root: Total cpu/real time for sqrt: 2377.3/216.88 Info:Linear Algebra: Total cpu/real time for bwc: 11638.4/2124.98 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 7290.73, WCT time 1341.59, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24576 iterations) Info:Linear Algebra: Lingen CPU time 344.48, WCT time 30.5 Info:Linear Algebra: Mksol: CPU time 3892.82, WCT time 721.88, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations) Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 11795849 Info:Lattice Sieving: Average J: 3799.03 for 199797 special-q, max bucket fill -bkmult 1.0,1s:1.146680 Info:Lattice Sieving: Total time: 126624s Info:Filtering - Singleton removal: Total cpu/real time for purge: 137.7/149.212 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.42/94.8213 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 94.39999999999999s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 4899.79 Info:Polynomial Selection (root optimized): Rootsieve time: 4895.91 Info:Filtering - Merging: Merged matrix has 784926 rows and total weight 134301251 (171.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 195.09/24.3602 Info:Filtering - Merging: Total cpu/real time for replay: 27.64/21.1367 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 258319/24679.9 Info:root: Cleaning up computation data in /tmp/cado.o_cidbjm 913287378589994538363562533439492487130193829060866767750094540163329987 856199345816263425728191520900613092900221182268259659
software ソフトウェア	cado-nfs-3.0.0
execution environment 実行環境	Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic\|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベル	B1	reported runs 報告された回数		name 名前	date 日付
35	1e6	1000		Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	2350		Ignacio Santos	September 12, 2021 20:14:40 UTC 2021 年 9 月 13 日 (月) 5 時 14 分 40 秒 (日本時間)

7×10²⁸⁷-2

c287

composite cofactor 合成数の残り

26923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923<287>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 19:06:19 UTC 2021 年 9 月 13 日 (月) 4 時 6 分 19 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 28, 2021 21:37:20 UTC 2021 年 9 月 29 日 (水) 6 時 37 分 20 秒 (日本時間)

7×10²⁸⁸-2

c228

composite cofactor 合成数の残り

404225852740068608380029795244332070461864477775317367976147420530866003968634649794624486883797031589943387182583982433769406568932111375072293330115690232871775870974354134389143079983232986068897620431243235872796502421663859<228>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 15, 2021 00:03:24 UTC 2021 年 9 月 15 日 (水) 9 時 3 分 24 秒 (日本時間)
45	11e6	1000 / 4169	Dmitry Domanov	September 26, 2021 23:21:34 UTC 2021 年 9 月 27 日 (月) 8 時 21 分 34 秒 (日本時間)

7×10²⁸⁹-2

c282

composite cofactor 合成数の残り

173793605603924164276330104905246559324817205002870400017812354914925621774058610066174298788856693651037048541254185130023462583654372743696584131868192327571431443633914654240576142288141883033953902795359414784692539274387961362622706789029216080554269717357522649018545053859557<282>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 19:06:26 UTC 2021 年 9 月 13 日 (月) 4 時 6 分 26 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 24, 2021 16:57:10 UTC 2021 年 9 月 25 日 (土) 1 時 57 分 10 秒 (日本時間)

7×10²⁹⁰-2

c277

composite cofactor 合成数の残り

8068578686644541321402147940153602659680973389826980566953365645201168821988423389325356950471541742896261402156472787601764617970689232754247928596854762098651661970444096364913666650082725034864213222867769419710397052957265593553885065626226336870076730430204483769242213679<277>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 19:06:31 UTC 2021 年 9 月 13 日 (月) 4 時 6 分 31 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 25, 2021 17:35:09 UTC 2021 年 9 月 26 日 (日) 2 時 35 分 9 秒 (日本時間)

7×10²⁹²-2

c270

name 名前	Dmitry Domanov
date 日付	September 26, 2021 01:45:55 UTC 2021 年 9 月 26 日 (日) 10 時 45 分 55 秒 (日本時間)
composite number 合成数	289969199549994263181113076733966042838843896131749244729050053345714902328371512293894521717863534467366989200049662706832216935863045766452377475388822105340991012431105173439685969541537098854580734825900473935530959886060179973946500806317470420806101502814071213863<270>
prime factors 素因数	143836392602339590603786331691331047653<39>
composite cofactor 合成数の残り	2015965461200517686860637847533732011594705429294060188300311134595418159508122185890969460583381548195898824219265234836250972459584331028799546858047573581976443330435558946077560865715122809924847539003658375767064449073224268571<232>
factorization results 素因数分解の結果	Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3358032850 Step 1 took 117142ms Step 2 took 37917ms ********** Factor found in step 2: 143836392602339590603786331691331047653 Found prime factor of 39 digits: 143836392602339590603786331691331047653 Composite cofactor 2015965461200517686860637847533732011594705429294060188300311134595418159508122185890969460583381548195898824219265234836250972459584331028799546858047573581976443330435558946077560865715122809924847539003658375767064449073224268571 has 232 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 19:06:38 UTC 2021 年 9 月 13 日 (月) 4 時 6 分 38 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 25, 2021 17:35:21 UTC 2021 年 9 月 26 日 (日) 2 時 35 分 21 秒 (日本時間)

7×10²⁹³-2

c260

name 名前	Dmitry Domanov
date 日付	September 13, 2021 23:56:35 UTC 2021 年 9 月 14 日 (火) 8 時 56 分 35 秒 (日本時間)
composite number 合成数	36433250048344535172471710981928702104071185328896270392693775243910744322581056404466491920926236327161604808346030825233296315682596728218669397475324258936249736049597703410435471286159827114986361238672740078173046094491615437598879403391542908671004581121<260>
prime factors 素因数	49173438636723938470884793569906441343943<41>
composite cofactor 合成数の残り	740913205551894924824677689524662955121294086207261754029847705574451613242477247215472163773698708831412126651576716282700051963277493087087680760013694119456142191707551432081114199700410152887001840662822541525350647<219>
factorization results 素因数分解の結果	Input number is 36433250048344535172471710981928702104071185328896270392693775243910744322581056404466491920926236327161604808346030825233296315682596728218669397475324258936249736049597703410435471286159827114986361238672740078173046094491615437598879403391542908671004581121 (260 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3125014738 Step 1 took 1ms Step 2 took 4632ms ********** Factor found in step 2: 49173438636723938470884793569906441343943 Found prime factor of 41 digits: 49173438636723938470884793569906441343943 Composite cofactor 740913205551894924824677689524662955121294086207261754029847705574451613242477247215472163773698708831412126651576716282700051963277493087087680760013694119456142191707551432081114199700410152887001840662822541525350647 has 219 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 23:11:00 UTC 2021 年 9 月 13 日 (月) 8 時 11 分 0 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 26, 2021 01:35:35 UTC 2021 年 9 月 26 日 (日) 10 時 35 分 35 秒 (日本時間)

7×10²⁹⁵-2

c288

composite cofactor 合成数の残り

113172404911243910916386743076320019730541742171926997111959866064532994119636211249279491926004169614147642242588289891529067803524647198850890082695367283401411762374721017492091811443300969506927459130219173009853316631630052963165754739056462065261423453601507914296633066954485864571<288>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 19:06:44 UTC 2021 年 9 月 13 日 (月) 4 時 6 分 44 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 23, 2021 19:23:52 UTC 2021 年 9 月 24 日 (金) 4 時 23 分 52 秒 (日本時間)

7×10²⁹⁶-2

c282

composite cofactor 合成数の残り

304609703852047414869763247060307203505560950508621830030781777384988348706622559248024115362478511115308184728991304237475408057477072780322471891860479905933686922697485617372009552230241655448344868011482504864563689665156479018739998684281999290261123903198267427891876139055367<282>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 19:06:50 UTC 2021 年 9 月 13 日 (月) 4 時 6 分 50 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 24, 2021 16:51:09 UTC 2021 年 9 月 25 日 (土) 1 時 51 分 9 秒 (日本時間)

7×10²⁹⁷-2

c264

composite cofactor 合成数の残り

901450533861719604030646326454045319000845172451206471867798324852642666597289628137058310908796870043098476430353711505797229100072943289028141200210424933406957530375476924298809401066242022481771661572091019437255058081758485456253535882348426131034496395318787<264>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 12, 2021 19:06:56 UTC 2021 年 9 月 13 日 (月) 4 時 6 分 56 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 28, 2021 21:37:58 UTC 2021 年 9 月 29 日 (水) 6 時 37 分 58 秒 (日本時間)

7×10²⁹⁸-2

c247

name 名前	Dmitry Domanov
date 日付	September 15, 2021 05:12:08 UTC 2021 年 9 月 15 日 (水) 14 時 12 分 8 秒 (日本時間)
composite number 合成数	1129684030606380600687581060875214948777964536504187378211918865242846397499514673365173058787972249904174864675118911267800107389033783163558514941956549836584081695319779055314423908323187707923159737290516636708721710165067471379578362169674099<247>
prime factors 素因数	50652128637954030111311427311415041<35>
composite cofactor 合成数の残り	22302794788369459674068011751728319187328061619376388185240761040573552265067910341665353867041401397162117340332251199551642122009245257752542988430851271295544574130380238221725371507578286981670765753712487539<212>
factorization results 素因数分解の結果	Resuming ECM residue saved by @768f78f9d3de with GMP-ECM 7.0.5-dev on Tue Sep 14 18:45:04 2021 Input number is 11296840306063806006875810608752149487779645365041873782119188652428463974995146733651730587879722499041748646751189112678001073890337831635585149419565498365840816953197790553144239083231 87707923159737290516636708721710165067471379578362169674099 (247 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2228283956 Step 1 took 0ms Step 2 took 4195ms ********** Factor found in step 2: 50652128637954030111311427311415041 Found prime factor of 35 digits: 50652128637954030111311427311415041 Composite cofactor 22302794788369459674068011751728319187328061619376388185240761040573552265067910341665353867041401397162117340332251199551642122009245257752542988430851271295544574130380238221725371507578286981670765753712487539 has 212 digits

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1248	Dmitry Domanov	September 13, 2021 19:36:39 UTC 2021 年 9 月 14 日 (火) 4 時 36 分 39 秒 (日本時間)
45	11e6	1000 / 4158	Dmitry Domanov	September 26, 2021 01:35:54 UTC 2021 年 9 月 26 日 (日) 10 時 35 分 54 秒 (日本時間)

7×10³⁰⁰-2

c264

composite cofactor 合成数の残り

158265555181969952782994531365180762437660494085038573700082277096673197451304758447542713477736129858080030061039081581608508168788053323555799950990984594652506753624468449789514464490291141959464063249098910934282397049339980961724911427753074125320097358043157<264>

ECM

level レベル	B1	reported runs 報告された回数	name 名前	date 日付
35	1e6	1000	Eric Jeancolas	September 10, 2021 05:00:00 UTC 2021 年 9 月 10 日 (金) 14 時 0 分 0 秒 (日本時間)
40	3e6	1200	Dmitry Domanov	September 10, 2021 14:31:23 UTC 2021 年 9 月 10 日 (金) 23 時 31 分 23 秒 (日本時間)
45	11e6	2000	Dmitry Domanov	September 16, 2021 19:34:16 UTC 2021 年 9 月 17 日 (金) 4 時 34 分 16 秒 (日本時間)
50	43e6	640 / 7053	Dmitry Domanov	September 21, 2021 15:50:14 UTC 2021 年 9 月 22 日 (水) 0 時 50 分 14 秒 (日本時間)