name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 9, 2022 23:06:42 UTC 2022 年 9 月 10 日 (土) 8 時 6 分 42 秒 (日本時間) |
composite number 合成数 | 981481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<105> |
prime factors 素因数 | 212538568077373265928989559526573364748188474710121<51> 4617898249527020489701482978396362986086708100607712161<55> |
factorization results 素因数分解の結果 | N=981481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481 ( 105 digits) SNFS difficulty: 106 digits. Divisors found: r1=212538568077373265928989559526573364748188474710121 (pp51) r2=4617898249527020489701482978396362986086708100607712161 (pp55) Version: Msieve v. 1.54 (SVN 1043M) Total time: 0.29 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 981481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481 m: 100000000000000000000000000 deg: 4 c4: 265 c0: -13 skew: 0.47 # Murphy_E = 1.776e-07 type: snfs lss: 1 rlim: 420000 alim: 420000 lpbr: 25 lpba: 25 mfbr: 44 mfba: 44 rlambda: 2.2 alambda: 2.2 Factor base limits: 420000/420000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [210000, 350001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 35730 x 35955 Total sieving time: 0.28 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,106.000,4,0,0,0,0,0,0,0,0,420000,420000,25,25,44,44,2.2,2.2,20000 total time: 0.29 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 10, 2022 10:35:58 UTC 2022 年 9 月 10 日 (土) 19 時 35 分 58 秒 (日本時間) |
composite number 合成数 | 41115925018988503336127692585499907329660407091305798533467381376197515889775846052902446117205955258662144299<110> |
prime factors 素因数 | 933157783536064438896107815047438549545527<42> 44061064210583703263090891527613468168128820441784305117706803787437<68> |
factorization results 素因数分解の結果 | Number: 1 N=41115925018988503336127692585499907329660407091305798533467381376197515889775846052902446117205955258662144299 ( 110 digits) SNFS difficulty: 122 digits. Divisors found: r1=933157783536064438896107815047438549545527 (pp42) r2=44061064210583703263090891527613468168128820441784305117706803787437 (pp68) Version: Msieve v. 1.52 (SVN 927) Total time: 1.02 hours. Scaled time: 8.00 units (timescale=7.825). Factorization parameters were as follows: n: 41115925018988503336127692585499907329660407091305798533467381376197515889775846052902446117205955258662144299 m: 1000000000000000000000000000000 deg: 4 c4: 265 c0: -13 skew: 0.47 # Murphy_E = 3.209e-08 type: snfs lss: 1 rlim: 770000 alim: 770000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.2 alambda: 2.2Factor base limits: 770000/770000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [385000, 685001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 77238 x 77463 Total sieving time: 1.01 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,122.000,4,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,75000 total time: 1.02 hours. --------- CPU info (if available) ---------- |
software ソフトウェア | GNFS, Msieve |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 10, 2022 07:55:40 UTC 2022 年 9 月 10 日 (土) 16 時 55 分 40 秒 (日本時間) |
composite number 合成数 | 5257950621723622039143850434809977744065584803482739215865752265973323147926847752468454373575397<97> |
prime factors 素因数 | 18365521073064092812166999288511262322593549<44> 286294660565619803976677691644779385276997673814717753<54> |
factorization results 素因数分解の結果 | prp54 = 286294660565619803976677691644779385276997673814717753 prp44 = 18365521073064092812166999288511262322593549 |
software ソフトウェア | Yafu |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 11, 2022 08:29:53 UTC 2022 年 9 月 11 日 (日) 17 時 29 分 53 秒 (日本時間) |
composite number 合成数 | 2722227677811276221713671759607344182805288073234100061710221414718511846744362901994839713912669384372622083<109> |
prime factors 素因数 | 21729580180643631942055215802678528455567439299739<50> 125277509053589254169643613779925513491314498434757875936697<60> |
factorization results 素因数分解の結果 | Number: 1 N=2722227677811276221713671759607344182805288073234100061710221414718511846744362901994839713912669384372622083 ( 109 digits) SNFS difficulty: 133 digits. Divisors found: r1=21729580180643631942055215802678528455567439299739 (pp50) r2=125277509053589254169643613779925513491314498434757875936697 (pp60) Version: Msieve v. 1.52 (SVN 927) Total time: 2.40 hours. Scaled time: 17.63 units (timescale=7.337). Factorization parameters were as follows: n: 2722227677811276221713671759607344182805288073234100061710221414718511846744362901994839713912669384372622083 m: 1000000000000000000000000000000000 deg: 4 c4: 53 c0: -26 skew: 0.84 # Murphy_E = 9.803e-09 type: snfs lss: 1 rlim: 1190000 alim: 1190000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3Factor base limits: 1190000/1190000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [595000, 1195001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 169012 x 169238 Total sieving time: 2.38 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,133.000,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000 total time: 2.40 hours. --------- CPU info (if available) ---------- |
software ソフトウェア | GNFS, Msieve |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | September 10, 2022 04:29:26 UTC 2022 年 9 月 10 日 (土) 13 時 29 分 26 秒 (日本時間) |
composite number 合成数 | 41761115762703519355966910381693821587919841614312011702467433077708357914890792655975664549<92> |
prime factors 素因数 | 2196126434330312699386988363818688720033<40> 19015806699416267266724018447390218606228263500651653<53> |
factorization results 素因数分解の結果 | 41761115762703519355966910381693821587919841614312011702467433077708357914890792655975664549=2196126434330312699386988363818688720033*19015806699416267266724018447390218606228263500651653 cado polynomial n: 41761115762703519355966910381693821587919841614312011702467433077708357914890792655975664549 skew: 282984.269 c0: 5572104710534722957892341 c1: 122860429489647171567 c2: -275311438323133 c3: -720447255 c4: 2160 Y0: -20470208742448239190216 Y1: 547096037511659 # MurphyE (Bf=8.389e+06,Bg=8.389e+06,area=4.214e+11) = 3.196e-06 # f(x) = 2160*x^4-720447255*x^3-275311438323133*x^2+122860429489647171567*x+5572104710534722957892341 # g(x) = 547096037511659*x-20470208742448239190216 cado parameters (extracts) tasks.lim0 = 404327 tasks.lim1 = 811066 tasks.lpb0 = 23 tasks.lpb1 = 23 tasks.sieve.mfb0 = 46 tasks.sieve.mfb1 = 46 tasks.I = 11 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 19015806699416267266724018447390218606228263500651653 2196126434330312699386988363818688720033 Info:Square Root: Total cpu/real time for sqrt: 16.97/5.27459 Info:Filtering - Singleton removal: Total cpu/real time for purge: 6.18/7.09953 Info:Filtering - Merging: Merged matrix has 87099 rows and total weight 14833123 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 16.96/4.78172 Info:Filtering - Merging: Total cpu/real time for replay: 2.95/2.43716 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 1104242 Info:Lattice Sieving: Average J: 1024 for 32281 special-q, max bucket fill -bkmult 1.0,1s:1.376560 Info:Lattice Sieving: Total time: 1108.61s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 40.23 Info:Polynomial Selection (root optimized): Rootsieve time: 39.9 Info:Linear Algebra: Total cpu/real time for bwc: 105.06/28.69 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 57.24, WCT time 15.13, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2800 iterations) Info:Linear Algebra: Lingen CPU time 9.71, WCT time 2.52 Info:Linear Algebra: Mksol: CPU time 31.95, WCT time 8.69, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1400 iterations) Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 2285.08 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2377/29.900/34.657/37.620/0.741 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 1453/29.540/33.429/36.300/1.132 Info:Polynomial Selection (size optimized): Total time: 37.41 Info:Generate Factor Base: Total cpu/real time for makefb: 0.58/0.208432 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 9.68/11.066 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 6.800000000000001s Info:Generate Free Relations: Total cpu/real time for freerel: 6.4/2.12534 Info:Square Root: Total cpu/real time for sqrt: 16.97/5.27459 Info:Quadratic Characters: Total cpu/real time for characters: 2.94/1.19369 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.22/4.26639 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.0s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2170.49/663.367 Info:root: Cleaning up computation data in /tmp/cado.8feyq2xl 19015806699416267266724018447390218606228263500651653 2196126434330312699386988363818688720033 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 10, 2022 11:11:37 UTC 2022 年 9 月 10 日 (土) 20 時 11 分 37 秒 (日本時間) |
composite number 合成数 | 158738716073343276966113776723513097441611108116040996519728526844813437082562102778826052317884761682270981963687769930694077548355407<135> |
prime factors 素因数 | 19785629287730168180086424756125711612078858948166077<53> 8022929863129664371588979363882107622198755679222153925271208264523064412407351291<82> |
factorization results 素因数分解の結果 | Number: n N=158738716073343276966113776723513097441611108116040996519728526844813437082562102778826052317884761682270981963687769930694077548355407 ( 135 digits) SNFS difficulty: 139 digits. Divisors found: Sat Sep 10 21:06:10 2022 p53 factor: 19785629287730168180086424756125711612078858948166077 Sat Sep 10 21:06:10 2022 p82 factor: 8022929863129664371588979363882107622198755679222153925271208264523064412407351291 Sat Sep 10 21:06:10 2022 elapsed time 00:02:55 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.300). Factorization parameters were as follows: # # N = 53x10^138-26 = 58(137)6 # n: 158738716073343276966113776723513097441611108116040996519728526844813437082562102778826052317884761682270981963687769930694077548355407 m: 10000000000000000000000000000000000 deg: 4 c4: 2650 c0: -13 skew: 0.26 # Murphy_E = 3.941e-09 type: snfs lss: 1 rlim: 1480000 alim: 1480000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1480000/1480000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved special-q in [100000, 6340000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 392241 hash collisions in 6012133 relations (6299680 unique) Msieve: matrix is 226241 x 226466 (76.5 MB) Sieving start time : 2022/09/10 20:47:21 Sieving end time : 2022/09/10 21:03:03 Total sieving time: 0hrs 15min 42secs. Total relation processing time: 0hrs 1min 22sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 8sec. Prototype def-par.txt line would be: snfs,139,4,0,0,0,0,0,0,0,0,1480000,1480000,26,26,48,48,2.3,2.3,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 11, 2022 11:03:21 UTC 2022 年 9 月 11 日 (日) 20 時 3 分 21 秒 (日本時間) |
composite number 合成数 | 110550746186576501456050180160187643170371604370338769852573838325394201601804329255535277151668234793896246682262792068560455303933<132> |
prime factors 素因数 | 1177052004734276880906162552836937863940421082399303<52> 93921717767715516742982515035367292427380580593411022836198722032779390830317211<80> |
factorization results 素因数分解の結果 | Number: 1 N=110550746186576501456050180160187643170371604370338769852573838325394201601804329255535277151668234793896246682262792068560455303933 ( 132 digits) SNFS difficulty: 142 digits. Divisors found: r1=1177052004734276880906162552836937863940421082399303 (pp52) r2=93921717767715516742982515035367292427380580593411022836198722032779390830317211 (pp80) Version: Msieve v. 1.52 (SVN 927) Total time: 6.05 hours. Scaled time: 46.83 units (timescale=7.740). Factorization parameters were as follows: n: 110550746186576501456050180160187643170371604370338769852573838325394201601804329255535277151668234793896246682262792068560455303933 m: 100000000000000000000000000000000000 deg: 4 c4: 265 c0: -13 skew: 0.47 # Murphy_E = 3.369e-09 type: snfs lss: 1 rlim: 1660000 alim: 1660000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3Factor base limits: 1660000/1660000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [830000, 1430001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 282667 x 282899 Total sieving time: 6.00 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,142.000,4,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000 total time: 6.05 hours. --------- CPU info (if available) ---------- |
software ソフトウェア | GNFS, Msieve |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 12, 2022 12:14:17 UTC 2022 年 9 月 12 日 (月) 21 時 14 分 17 秒 (日本時間) |
composite number 合成数 | 1221551102990152692366543613157399471623518102367099218823582356535454110568722151012574196474212888406295329223147<115> |
prime factors 素因数 | 435847573658728914508492782035501689<36> 2802702542854199829677620083434464502904380601278731753489049243065513199918723<79> |
factorization results 素因数分解の結果 | Number: 1 N=1221551102990152692366543613157399471623518102367099218823582356535454110568722151012574196474212888406295329223147 ( 115 digits) SNFS difficulty: 146 digits. Divisors found: r1=435847573658728914508492782035501689 (pp36) r2=2802702542854199829677620083434464502904380601278731753489049243065513199918723 (pp79) Version: Msieve v. 1.52 (SVN 927) Total time: 9.01 hours. Scaled time: 69.80 units (timescale=7.746). Factorization parameters were as follows: n: 1221551102990152692366543613157399471623518102367099218823582356535454110568722151012574196474212888406295329223147 m: 1000000000000000000000000000000000000 deg: 4 c4: 265 c0: -13 skew: 0.47 # Murphy_E = 2.117e-09 type: snfs lss: 1 rlim: 1930000 alim: 1930000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3Factor base limits: 1930000/1930000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [965000, 1865001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 293163 x 293388 Total sieving time: 8.96 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,146.000,4,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000 total time: 9.01 hours. --------- CPU info (if available) ---------- |
software ソフトウェア | GNFS, Msieve |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 10, 2022 07:24:58 UTC 2022 年 9 月 10 日 (土) 16 時 24 分 58 秒 (日本時間) |
composite number 合成数 | 2566493897623248051018385103773919668296724183496213401302042025835302628231766607184569890460571<97> |
prime factors 素因数 | 108091578296849883019686600378920614646973463<45> 23743698982495507518725852401088612132207341048965917<53> |
factorization results 素因数分解の結果 | prp53 = 23743698982495507518725852401088612132207341048965917 prp45 = 108091578296849883019686600378920614646973463 |
software ソフトウェア | Yafu |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 10, 2022 07:28:44 UTC 2022 年 9 月 10 日 (土) 16 時 28 分 44 秒 (日本時間) |
composite number 合成数 | 22911987601549466289668777754619966959705926444858403227450549288185864406011425002960528093842763<98> |
prime factors 素因数 | 1659556787717185339783282584484603786515159221<46> 13806088331009273344567918837547248477620058995183103<53> |
factorization results 素因数分解の結果 | prp46 = 1659556787717185339783282584484603786515159221 prp53 = 13806088331009273344567918837547248477620058995183103 |
software ソフトウェア | Yafu |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | September 10, 2022 12:08:12 UTC 2022 年 9 月 10 日 (土) 21 時 8 分 12 秒 (日本時間) |
composite number 合成数 | 2766210345244588244977721495855833554691274510985000421493272128099820652349184529069406875070241217953<103> |
prime factors 素因数 | 16881724712243657923170942186359407325959723<44> 163858278250347462318272843236364694054871132640004491207011<60> |
factorization results 素因数分解の結果 | 2766210345244588244977721495855833554691274510985000421493272128099820652349184529069406875070241217953=16881724712243657923170942186359407325959723*163858278250347462318272843236364694054871132640004491207011 cado polynomial n: 2766210345244588244977721495855833554691274510985000421493272128099820652349184529069406875070241217953 skew: 8784.15 c0: -510231671905235143665312 c1: 4214569348398198846 c2: 2873656637790347 c3: 1275213248534 c4: -56458600 c5: -12600 Y0: -64122260277645229087 Y1: 193704491413493 # MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 4.218e-06 # f(x) = -12600*x^5-56458600*x^4+1275213248534*x^3+2873656637790347*x^2+4214569348398198846*x-510231671905235143665312 # g(x) = 193704491413493*x-64122260277645229087 cado parameters (extracts) tasks.lim0 = 1000000 tasks.lim1 = 1600000 tasks.lpb0 = 25 tasks.lpb1 = 26 tasks.sieve.mfb0 = 50 tasks.sieve.mfb1 = 52 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 163858278250347462318272843236364694054871132640004491207011 16881724712243657923170942186359407325959723 Info:Square Root: Total cpu/real time for sqrt: 45.84/13.8678 Info:Filtering - Singleton removal: Total cpu/real time for purge: 19.11/19.8421 Info:Filtering - Merging: Merged matrix has 176687 rows and total weight 25833971 (146.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 23.32/6.99474 Info:Filtering - Merging: Total cpu/real time for replay: 5.39/4.36834 Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/0.424784 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 4648726 Info:Lattice Sieving: Average J: 1904.91 for 33035 special-q, max bucket fill -bkmult 1.0,1s:1.301700 Info:Lattice Sieving: Total time: 3440.11s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 137.11 Info:Polynomial Selection (root optimized): Rootsieve time: 136.51 Info:Linear Algebra: Total cpu/real time for bwc: 391.52/102.58 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 228.72, WCT time 58.92, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5632 iterations) Info:Linear Algebra: Lingen CPU time 24.13, WCT time 6.17 Info:Linear Algebra: Mksol: CPU time 125.51, WCT time 32.46, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2816 iterations) Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 9952.64 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9365/29.550/36.135/42.430/1.073 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7026/28.100/32.098/36.590/0.889 Info:Polynomial Selection (size optimized): Total time: 527.68 Info:Generate Free Relations: Total cpu/real time for freerel: 62.97/16.5195 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 39.95/36.8756 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 28.9s Info:Square Root: Total cpu/real time for sqrt: 45.84/13.8678 Info:Quadratic Characters: Total cpu/real time for characters: 6.32/2.46745 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.71/17.2425 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 17.2s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7418.52/2203.43 Info:root: Cleaning up computation data in /tmp/cado.imntzj3h 163858278250347462318272843236364694054871132640004491207011 16881724712243657923170942186359407325959723 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 11, 2022 23:36:37 UTC 2022 年 9 月 12 日 (月) 8 時 36 分 37 秒 (日本時間) |
composite number 合成数 | 294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<153> |
prime factors 素因数 | 461710033166566483340250018716477253088248590320624703<54> 637725895677516465548474179817502984041714962239583200653450681637943143919466733549899711243564581<99> |
factorization results 素因数分解の結果 | Number: n N=294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 ( 153 digits) SNFS difficulty: 153 digits. Divisors found: Mon Sep 12 09:31:24 2022 p54 factor: 461710033166566483340250018716477253088248590320624703 Mon Sep 12 09:31:24 2022 p99 factor: 637725895677516465548474179817502984041714962239583200653450681637943143919466733549899711243564581 Mon Sep 12 09:31:24 2022 elapsed time 00:06:04 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.317). Factorization parameters were as follows: # # N = 53x10^152-26 = 58(151)6 # n: 294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 m: 100000000000000000000000000000000000000 deg: 4 c4: 53 c0: -26 skew: 0.84 # Murphy_E = 9.629e-10 type: snfs lss: 1 rlim: 2600000 alim: 2600000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2600000/2600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 6900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1586910 hash collisions in 13925361 relations (13689300 unique) Msieve: matrix is 366498 x 366724 (123.4 MB) Sieving start time : 2022/09/12 08:59:42 Sieving end time : 2022/09/12 09:25:03 Total sieving time: 0hrs 25min 21secs. Total relation processing time: 0hrs 2min 34sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 25sec. Prototype def-par.txt line would be: snfs,153,4,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2400 | ebina | September 10, 2022 09:23:16 UTC 2022 年 9 月 10 日 (土) 18 時 23 分 16 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 12, 2022 05:28:55 UTC 2022 年 9 月 12 日 (月) 14 時 28 分 55 秒 (日本時間) |
composite number 合成数 | 78864937488332267302581144349944309896397036284219128091809477155492649310172409437316497472657012806692684536907958942651652461052840784836359317<146> |
prime factors 素因数 | 16512851296030283797401653479321691614457855321<47> 4775973335827927308774042039608743750081288393379619367391489816916560813184398058138246635705867677<100> |
factorization results 素因数分解の結果 | Number: n N=78864937488332267302581144349944309896397036284219128091809477155492649310172409437316497472657012806692684536907958942651652461052840784836359317 ( 146 digits) SNFS difficulty: 154 digits. Divisors found: Mon Sep 12 15:23:33 2022 p47 factor: 16512851296030283797401653479321691614457855321 Mon Sep 12 15:23:33 2022 p100 factor: 4775973335827927308774042039608743750081288393379619367391489816916560813184398058138246635705867677 Mon Sep 12 15:23:33 2022 elapsed time 00:09:02 (Msieve 1.54 - dependency 15) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.346). Factorization parameters were as follows: # # N = 53x10^153-26 = 58(152)6 # n: 78864937488332267302581144349944309896397036284219128091809477155492649310172409437316497472657012806692684536907958942651652461052840784836359317 m: 100000000000000000000000000000000000000 deg: 4 c4: 265 c0: -13 skew: 0.47 # Murphy_E = 8.248e-10 type: snfs lss: 1 rlim: 2600000 alim: 2600000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2600000/2600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 6900000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1422609 hash collisions in 13506060 relations (13432686 unique) Msieve: matrix is 410133 x 410359 (137.4 MB) Sieving start time : 2022/09/12 14:26:30 Sieving end time : 2022/09/12 15:13:53 Total sieving time: 0hrs 47min 23secs. Total relation processing time: 0hrs 2min 27sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 33sec. Prototype def-par.txt line would be: snfs,154,4,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 11, 2022 20:46:02 UTC 2022 年 9 月 12 日 (月) 5 時 46 分 2 秒 (日本時間) |
composite number 合成数 | 29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<155> |
prime factors 素因数 | 60898536915928028884423927542868842330748757671590223945143781283343885523<74> 483500030306035841660919463224500228097260298854635337246770284446100718784006041<81> |
factorization results 素因数分解の結果 | Number: n N=29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 ( 155 digits) SNFS difficulty: 156 digits. Divisors found: Mon Sep 12 04:28:48 2022 p74 factor: 60898536915928028884423927542868842330748757671590223945143781283343885523 Mon Sep 12 04:28:48 2022 p81 factor: 483500030306035841660919463224500228097260298854635337246770284446100718784006041 Mon Sep 12 04:28:48 2022 elapsed time 00:06:34 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.345). Factorization parameters were as follows: # # N = 53x10^154-26 = 58(153)6 # n: 29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 m: 5000000000000000000000000000000 deg: 5 c5: 424 c0: -65 skew: 0.69 # Murphy_E = 6.668e-10 type: snfs lss: 1 rlim: 2800000 alim: 2800000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 28600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1150765 hash collisions in 12651417 relations (12297521 unique) Msieve: matrix is 437541 x 437767 (146.8 MB) Sieving start time : 2022/09/12 01:57:41 Sieving end time : 2022/09/12 04:21:17 Total sieving time: 2hrs 23min 36secs. Total relation processing time: 0hrs 2min 50sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 49sec. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 15, 2022 04:46:44 UTC 2022 年 9 月 15 日 (木) 13 時 46 分 44 秒 (日本時間) |
composite number 合成数 | 1050869408284413902772276780811076046207282210469797772061278395107014066438151098291635773572065665401230164513301639724552653766091696431<139> |
prime factors 素因数 | 211888091070581816519791175623068939550194171161<48> 4959549179827949427043446457550051294240539297833153432176025621262338412235027953016904071<91> |
factorization results 素因数分解の結果 | Number: n N=1050869408284413902772276780811076046207282210469797772061278395107014066438151098291635773572065665401230164513301639724552653766091696431 ( 139 digits) SNFS difficulty: 157 digits. Divisors found: Thu Sep 15 14:35:27 2022 p48 factor: 211888091070581816519791175623068939550194171161 Thu Sep 15 14:35:27 2022 p91 factor: 4959549179827949427043446457550051294240539297833153432176025621262338412235027953016904071 Thu Sep 15 14:35:27 2022 elapsed time 00:07:23 (Msieve 1.54 - dependency 7) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.329). Factorization parameters were as follows: # # N = 53x10^156-26 = 58(155)6 # n: 1050869408284413902772276780811076046207282210469797772061278395107014066438151098291635773572065665401230164513301639724552653766091696431 m: 10000000000000000000000000000000 deg: 5 c5: 265 c0: -13 skew: 0.55 # Murphy_E = 6.797e-10 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2900000/2900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 7050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1445092 hash collisions in 13824980 relations (13227546 unique) Msieve: matrix is 389234 x 389463 (130.7 MB) Sieving start time : 2022/09/15 14:10:11 Sieving end time : 2022/09/15 14:27:45 Total sieving time: 0hrs 17min 34secs. Total relation processing time: 0hrs 2min 3sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 13sec. Prototype def-par.txt line would be: snfs,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 11, 2022 23:01:43 UTC 2022 年 9 月 12 日 (月) 8 時 1 分 43 秒 (日本時間) |
composite number 合成数 | 5600997611650075032232156067042884619449200008454336017585018916576839346479825840678037748610318517109462515587682032422378627438547545072178893750132099<154> |
prime factors 素因数 | 225404180590670279600884823226188609397387085828318925254237613215961<69> 24848685578824203586968037597797651004418658570650795109645404530204593782689421846459<86> |
factorization results 素因数分解の結果 | Number: n N=5600997611650075032232156067042884619449200008454336017585018916576839346479825840678037748610318517109462515587682032422378627438547545072178893750132099 ( 154 digits) SNFS difficulty: 158 digits. Divisors found: Mon Sep 12 08:53:42 2022 p69 factor: 225404180590670279600884823226188609397387085828318925254237613215961 Mon Sep 12 08:53:42 2022 p86 factor: 24848685578824203586968037597797651004418658570650795109645404530204593782689421846459 Mon Sep 12 08:53:42 2022 elapsed time 00:06:09 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.329). Factorization parameters were as follows: # # N = 53x10^157-26 = 58(156)6 # n: 5600997611650075032232156067042884619449200008454336017585018916576839346479825840678037748610318517109462515587682032422378627438547545072178893750132099 m: 10000000000000000000000000000000 deg: 5 c5: 2650 c0: -13 skew: 0.35 # Murphy_E = 5.335e-10 type: snfs lss: 1 rlim: 3100000 alim: 3100000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 3100000/3100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [100000, 7150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1530900 hash collisions in 13640804 relations (12914654 unique) Msieve: matrix is 427499 x 427728 (143.7 MB) Sieving start time : 2022/09/12 08:18:34 Sieving end time : 2022/09/12 08:47:16 Total sieving time: 0hrs 28min 42secs. Total relation processing time: 0hrs 2min 42sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 0min 24sec. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 17, 2022 08:05:05 UTC 2022 年 9 月 17 日 (土) 17 時 5 分 5 秒 (日本時間) |
composite number 合成数 | 14814137556069238272334830913963637934209546052512463519783928251527595691184192659728650217806408347440504838177093049729336341<128> |
prime factors 素因数 | 6682958563722546793275648305318853542190886427<46> 2216703487656738636535147519742148411106762841900720216423348421384064881154832783<82> |
factorization results 素因数分解の結果 | Number: 1 N=14814137556069238272334830913963637934209546052512463519783928251527595691184192659728650217806408347440504838177093049729336341 ( 128 digits) SNFS difficulty: 159 digits. Divisors found: r1=6682958563722546793275648305318853542190886427 (pp46) r2=2216703487656738636535147519742148411106762841900720216423348421384064881154832783 (pp82) Version: Msieve v. 1.52 (SVN 927) Total time: 18.71 hours. Scaled time: 138.70 units (timescale=7.413). Factorization parameters were as follows: n: 14814137556069238272334830913963637934209546052512463519783928251527595691184192659728650217806408347440504838177093049729336341 m: 10000000000000000000000000000000 deg: 5 c5: 26500 c0: -13 skew: 0.22 # Murphy_E = 4.447e-10 type: snfs lss: 1 rlim: 3200000 alim: 3200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4Factor base limits: 3200000/3200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1600000, 3200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 595332 x 595558 Total sieving time: 18.58 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.08 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000 total time: 18.71 hours. --------- CPU info (if available) ---------- |
software ソフトウェア | GNFS, Msieve |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 12, 2022 08:51:50 UTC 2022 年 9 月 12 日 (月) 17 時 51 分 50 秒 (日本時間) |
composite number 合成数 | 4310837655421990961005897945618304076010895355768658610227907244988525839755317999884357903296022019033927950298186890481488125044025919121793329<145> |
prime factors 素因数 | 32186369851730518171748222574817759753464699061<47> 133933639465409186681008465747837846330404274607397817842308821642837056712617872157042753138302989<99> |
factorization results 素因数分解の結果 | Number: n N=4310837655421990961005897945618304076010895355768658610227907244988525839755317999884357903296022019033927950298186890481488125044025919121793329 ( 145 digits) SNFS difficulty: 161 digits. Divisors found: Mon Sep 12 18:47:54 2022 p47 factor: 32186369851730518171748222574817759753464699061 Mon Sep 12 18:47:54 2022 p99 factor: 133933639465409186681008465747837846330404274607397817842308821642837056712617872157042753138302989 Mon Sep 12 18:47:54 2022 elapsed time 00:09:56 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.320). Factorization parameters were as follows: # # N = 53x10^160-26 = 58(159)6 # n: 4310837655421990961005897945618304076010895355768658610227907244988525839755317999884357903296022019033927950298186890481488125044025919121793329 m: 100000000000000000000000000000000 deg: 5 c5: 53 c0: -26 skew: 0.87 # Murphy_E = 4.496e-10 type: snfs lss: 1 rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 14550000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1135832 hash collisions in 12735012 relations (12414245 unique) Msieve: matrix is 544629 x 544855 (187.4 MB) Sieving start time : 2022/09/12 17:12:52 Sieving end time : 2022/09/12 18:37:27 Total sieving time: 1hrs 24min 35secs. Total relation processing time: 0hrs 4min 19sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 36sec. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 17, 2022 12:38:41 UTC 2022 年 9 月 17 日 (土) 21 時 38 分 41 秒 (日本時間) |
composite number 合成数 | 1549852749162108873565968699674669436044213791845505366142232014596279585009901021453170005936454128845026915559665998550854911<127> |
prime factors 素因数 | 1008153310582228371418283367528464468977<40> 1537318513854840608412116562742998703290951419211438536568252301193239049423109579765743<88> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 1549852749162108873565968699674669436044213791845505366142232014596279585009901021453170005936454128845026915559665998550854911 (127 digits) Using B1=20300000, B2=70272629710, polynomial Dickson(12), sigma=1:2811037489 Step 1 took 27328ms Step 2 took 12189ms ********** Factor found in step 2: 1008153310582228371418283367528464468977 Found prime factor of 40 digits: 1008153310582228371418283367528464468977 Prime cofactor 1537318513854840608412116562742998703290951419211438536568252301193239049423109579765743 has 88 digits |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 14, 2022 08:37:50 UTC 2022 年 9 月 14 日 (水) 17 時 37 分 50 秒 (日本時間) |
composite number 合成数 | 546544173348117794826715842580372109795148422161553847744532091182281586768864675074317983222008130872176668614788157557086225427706425402122560193<147> |
prime factors 素因数 | 8625485512421329006502186484014343914406648221052829<52> 63363873553674662636685201871894680247817567263304471148651642829317253537966103480284160204917<95> |
factorization results 素因数分解の結果 | Number: n N=546544173348117794826715842580372109795148422161553847744532091182281586768864675074317983222008130872176668614788157557086225427706425402122560193 ( 147 digits) SNFS difficulty: 171 digits. Divisors found: Wed Sep 14 18:33:34 2022 p52 factor: 8625485512421329006502186484014343914406648221052829 Wed Sep 14 18:33:34 2022 p95 factor: 63363873553674662636685201871894680247817567263304471148651642829317253537966103480284160204917 Wed Sep 14 18:33:34 2022 elapsed time 00:14:25 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.335). Factorization parameters were as follows: # # N = 53x10^169-26 = 58(168)6 # n: 546544173348117794826715842580372109795148422161553847744532091182281586768864675074317983222008130872176668614788157557086225427706425402122560193 m: 5000000000000000000000000000000000 deg: 5 c5: 424 c0: -65 skew: 0.69 # Murphy_E = 1.734e-10 type: snfs lss: 1 rlim: 5000000 alim: 5000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1627954 hash collisions in 13139302 relations (12240436 unique) Msieve: matrix is 757089 x 757314 (262.6 MB) Sieving start time : 2022/09/14 17:27:34 Sieving end time : 2022/09/14 18:18:49 Total sieving time: 0hrs 51min 15secs. Total relation processing time: 0hrs 8min 32sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 39sec. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 14, 2022 19:07:50 UTC 2022 年 9 月 15 日 (木) 4 時 7 分 50 秒 (日本時間) |
composite number 合成数 | 6330908202344025011404479509409893694109909899149518730673880384403994532575252953239083386862936886721782010806103267968454269414734094237<139> |
prime factors 素因数 | 3532028227058330102860181392662517710942850796743753742713841<61> 1792428541154881452828601756723684953528878941175711857613881173431860188533357<79> |
factorization results 素因数分解の結果 | Number: n N=6330908202344025011404479509409893694109909899149518730673880384403994532575252953239083386862936886721782010806103267968454269414734094237 ( 139 digits) SNFS difficulty: 171 digits. Divisors found: Thu Sep 15 04:53:23 2022 p61 factor: 3532028227058330102860181392662517710942850796743753742713841 Thu Sep 15 04:53:23 2022 p79 factor: 1792428541154881452828601756723684953528878941175711857613881173431860188533357 Thu Sep 15 04:53:23 2022 elapsed time 00:13:16 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.353). Factorization parameters were as follows: # # N = 53x10^170-26 = 58(169)6 # n: 6330908202344025011404479509409893694109909899149518730673880384403994532575252953239083386862936886721782010806103267968454269414734094237 m: 10000000000000000000000000000000000 deg: 5 c5: 53 c0: -26 skew: 0.87 # Murphy_E = 1.819e-10 type: snfs lss: 1 rlim: 5100000 alim: 5100000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5100000/5100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 8150000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1757469 hash collisions in 13762650 relations (12761542 unique) Msieve: matrix is 746538 x 746765 (258.1 MB) Sieving start time : 2022/09/15 03:43:58 Sieving end time : 2022/09/15 04:39:50 Total sieving time: 0hrs 55min 52secs. Total relation processing time: 0hrs 8min 30sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 26sec. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 13, 2022 09:12:19 UTC 2022 年 9 月 13 日 (火) 18 時 12 分 19 秒 (日本時間) |
composite number 合成数 | 851516485912261295704483831616253456475388286773113304611134094473058710048847561969752897720717358382118270786778597454043159461688965567631282709809194100559<159> |
prime factors 素因数 | 69765620336124201347265993137138314639<38> 141700263860415856982480789910954323813<39> 86135254539838765791160611733417483164282759807959409553114165133980053846623979437<83> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 851516485912261295704483831616253456475388286773113304611134094473058710048847561969752897720717358382118270786778597454043159461688965567631282709809194100559 (159 digits) Using B1=19670000, B2=70271979970, polynomial Dickson(12), sigma=1:61520864 Step 1 took 45871ms ********** Factor found in step 1: 69765620336124201347265993137138314639 Found prime factor of 38 digits: 69765620336124201347265993137138314639 Composite cofactor 12205388295979235941502352447533023334354135256217474792942280319180667958010482298415416729923185876864212593903551433281 has 122 digits GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 12205388295979235941502352447533023334354135256217474792942280319180667958010482298415416729923185876864212593903551433281 (122 digits) Using B1=21990000, B2=96186870796, polynomial Dickson(12), sigma=1:3350898087 Step 1 took 33921ms ********** Factor found in step 1: 141700263860415856982480789910954323813 Found prime factor of 39 digits: 141700263860415856982480789910954323813 Prime cofactor 86135254539838765791160611733417483164282759807959409553114165133980053846623979437 has 83 digits |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 12, 2022 18:54:29 UTC 2022 年 9 月 13 日 (火) 3 時 54 分 29 秒 (日本時間) |
composite number 合成数 | 294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<174> |
prime factors 素因数 | 1072139316048830795117314566592929363251271549559015310940959121101<67> 274632634058756888790554212281305294488143942668140210077428871292325779931766201691015913346145704580427143<108> |
factorization results 素因数分解の結果 | Number: n N=294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 ( 174 digits) SNFS difficulty: 174 digits. Divisors found: Tue Sep 13 04:49:46 2022 p67 factor: 1072139316048830795117314566592929363251271549559015310940959121101 Tue Sep 13 04:49:46 2022 p108 factor: 274632634058756888790554212281305294488143942668140210077428871292325779931766201691015913346145704580427143 Tue Sep 13 04:49:46 2022 elapsed time 00:19:42 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.328). Factorization parameters were as follows: # # N = 53x10^173-26 = 58(172)6 # n: 294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 m: 10000000000000000000000000000000000 deg: 5 c5: 26500 c0: -13 skew: 0.22 # Murphy_E = 1.147e-10 type: snfs lss: 1 rlim: 5700000 alim: 5700000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5700000/5700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 15650000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1609167 hash collisions in 12836905 relations (11932559 unique) Msieve: matrix is 959337 x 959562 (333.3 MB) Sieving start time : 2022/09/13 02:40:07 Sieving end time : 2022/09/13 04:29:49 Total sieving time: 1hrs 49min 42secs. Total relation processing time: 0hrs 15min 0sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 21sec. Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 16, 2022 11:32:19 UTC 2022 年 9 月 16 日 (金) 20 時 32 分 19 秒 (日本時間) |
composite number 合成数 | 1114543870809696042540797229714641402603923075512445020602040641568197093463491126873129987796733395980307998384760375891654059095574567150272274373673212959<157> |
prime factors 素因数 | 159641827436644742380945297727450610930902357696270267866900067<63> 6981527890940815875125009209799560211594972120907998119870884181117346561989310635477977043477<94> |
factorization results 素因数分解の結果 | Number: n N=1114543870809696042540797229714641402603923075512445020602040641568197093463491126873129987796733395980307998384760375891654059095574567150272274373673212959 ( 157 digits) SNFS difficulty: 176 digits. Divisors found: Fri Sep 16 21:26:37 2022 p63 factor: 159641827436644742380945297727450610930902357696270267866900067 Fri Sep 16 21:26:37 2022 p94 factor: 6981527890940815875125009209799560211594972120907998119870884181117346561989310635477977043477 Fri Sep 16 21:26:37 2022 elapsed time 00:19:54 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.323). Factorization parameters were as follows: # # N = 53x10^174-26 = 58(173)6 # n: 1114543870809696042540797229714641402603923075512445020602040641568197093463491126873129987796733395980307998384760375891654059095574567150272274373673212959 m: 50000000000000000000000000000000000 deg: 5 c5: 424 c0: -65 skew: 0.69 # Murphy_E = 1.096e-10 type: snfs lss: 1 rlim: 4000000 alim: 4000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 29200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1659727 hash collisions in 12785465 relations (11810892 unique) Msieve: matrix is 990797 x 991022 (343.2 MB) Sieving start time : 2022/09/16 18:37:59 Sieving end time : 2022/09/16 21:06:28 Total sieving time: 2hrs 28min 29secs. Total relation processing time: 0hrs 15min 28sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 8sec. Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,52,52,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 15, 2022 13:36:47 UTC 2022 年 9 月 15 日 (木) 22 時 36 分 47 秒 (日本時間) |
composite number 合成数 | 4289776043361371832357509147396166231828505482919394720598363691823599871266813419676176065909711102988860771814720292842757565739464276916104857982970934216507<160> |
prime factors 素因数 | 39875904784260012967879127688032615646192943925164868291<56> 107578149425581197326354301608580897991054332392219032005603455850864948110858581574277650970210805019177<105> |
factorization results 素因数分解の結果 | Number: n N=4289776043361371832357509147396166231828505482919394720598363691823599871266813419676176065909711102988860771814720292842757565739464276916104857982970934216507 ( 160 digits) SNFS difficulty: 176 digits. Divisors found: Thu Sep 15 23:30:46 2022 p56 factor: 39875904784260012967879127688032615646192943925164868291 Thu Sep 15 23:30:46 2022 p105 factor: 107578149425581197326354301608580897991054332392219032005603455850864948110858581574277650970210805019177 Thu Sep 15 23:30:46 2022 elapsed time 00:17:41 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.347). Factorization parameters were as follows: # # N = 53x10^175-26 = 58(174)6 # n: 4289776043361371832357509147396166231828505482919394720598363691823599871266813419676176065909711102988860771814720292842757565739464276916104857982970934216507 m: 100000000000000000000000000000000000 deg: 5 c5: 53 c0: -26 skew: 0.87 # Murphy_E = 1.148e-10 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 22100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1990269 hash collisions in 13345282 relations (11995192 unique) Msieve: matrix is 868911 x 869136 (302.3 MB) Sieving start time : 2022/09/15 21:52:52 Sieving end time : 2022/09/15 23:12:47 Total sieving time: 1hrs 19min 55secs. Total relation processing time: 0hrs 11min 36sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 51sec. Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,52,52,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | September 12, 2022 03:32:57 UTC 2022 年 9 月 12 日 (月) 12 時 32 分 57 秒 (日本時間) |
composite number 合成数 | 5670013327888613447969926239264948870796376043753764242221614255337242770239829422214026358226945588412336513600564849787<121> |
prime factors 素因数 | 7862270524008194032651360436809380839041619344429<49> 721167417296910118200544644641647721077014510511529292475796604974738503<72> |
factorization results 素因数分解の結果 | 5670013327888613447969926239264948870796376043753764242221614255337242770239829422214026358226945588412336513600564849787=7862270524008194032651360436809380839041619344429*721167417296910118200544644641647721077014510511529292475796604974738503 cado polynomial n: 5670013327888613447969926239264948870796376043753764242221614255337242770239829422214026358226945588412336513600564849787 skew: 37355.993 c0: -6766243864991964452087774555 c1: -255989721560136436246447 c2: 16114757082664466796 c3: -435111558246269 c4: -6534231745 c5: 127500 Y0: -186545755457761467869988 Y1: 56122264655835623 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.354e-06 # f(x) = 127500*x^5-6534231745*x^4-435111558246269*x^3+16114757082664466796*x^2-255989721560136436246447*x-6766243864991964452087774555 # g(x) = 56122264655835623*x-186545755457761467869988 cado parameters (extracts) tasks.lim0 = 3000000 tasks.lim1 = 5500000 tasks.lpb0 = 27 tasks.lpb1 = 27 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 7862270524008194032651360436809380839041619344429 721167417296910118200544644641647721077014510511529292475796604974738503 Info:Square Root: Total cpu/real time for sqrt: 239/71.7008 Info:Filtering - Merging: Merged matrix has 780782 rows and total weight 79598128 (101.9 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 59.94/19.7555 Info:Filtering - Merging: Total cpu/real time for replay: 19.69/15.593 Info:Generate Factor Base: Total cpu/real time for makefb: 4.94/1.36276 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 13431419 Info:Lattice Sieving: Average J: 1904.65 for 275769 special-q, max bucket fill -bkmult 1.0,1s:1.273180 Info:Lattice Sieving: Total time: 33285.1s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2122.81 Info:Polynomial Selection (root optimized): Rootsieve time: 2120.29 Info:Linear Algebra: Total cpu/real time for bwc: 5993.18/1558.22 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 3666.4, WCT time 950.47, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24576 iterations) Info:Linear Algebra: Lingen CPU time 143.54, WCT time 36.46 Info:Linear Algebra: Mksol: CPU time 2102.76, WCT time 542.74, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations) Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 19893.3 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19921/35.710/43.198/48.030/1.029 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15963/34.100/38.244/43.690/0.863 Info:Polynomial Selection (size optimized): Total time: 2314.5 Info:Generate Free Relations: Total cpu/real time for freerel: 129.23/33.6399 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 132.25/111.345 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 101.1s Info:Quadratic Characters: Total cpu/real time for characters: 25.68/9.96471 Info:Square Root: Total cpu/real time for sqrt: 239/71.7008 Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.8/51.7163 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.86/55.6484 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.5s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 72854.8/20006.5 Info:root: Cleaning up computation data in /tmp/cado.owzrz4m3 7862270524008194032651360436809380839041619344429 721167417296910118200544644641647721077014510511529292475796604974738503 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 10, 2022 15:41:33 UTC 2022 年 9 月 11 日 (日) 0 時 41 分 33 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 12, 2022 22:49:38 UTC 2022 年 9 月 13 日 (火) 7 時 49 分 38 秒 (日本時間) |
composite number 合成数 | 29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<179> |
prime factors 素因数 | 159317786442337448663297320761424856753<39> 2174980549255398612523075033073610494510413<43> 84973542350284207361395967633395897719553209362178272218473700230810763875001762624080818027141687<98> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 (179 digits) Using B1=16590000, B2=58559116990, polynomial Dickson(12), sigma=1:140796395 Step 1 took 44788ms Step 2 took 17997ms ********** Factor found in step 2: 2174980549255398612523075033073610494510413 Found prime factor of 43 digits: 2174980549255398612523075033073610494510413 Composite cofactor 13537796673411496314689868768173983419606955524740215010372234081549814031249975104345514711775226937425928926468790501990259090009762311 has 137 digits GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 13537796673411496314689868768173983419606955524740215010372234081549814031249975104345514711775226937425928926468790501990259090009762311 (137 digits) Using B1=17360000, B2=58559766730, polynomial Dickson(12), sigma=1:387636486 Step 1 took 32847ms Step 2 took 14250ms ********** Factor found in step 2: 159317786442337448663297320761424856753 Found prime factor of 39 digits: 159317786442337448663297320761424856753 Prime cofactor 84973542350284207361395967633395897719553209362178272218473700230810763875001762624080818027141687 has 98 digits |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | September 17, 2022 00:50:34 UTC 2022 年 9 月 17 日 (土) 9 時 50 分 34 秒 (日本時間) |
composite number 合成数 | 2769752063185670080171436411347852926535467173080570972571645565829712648685264814234013225039457433161339180649282679369310577<127> |
prime factors 素因数 | 136361909234700142514776921467631389895243<42> 20311772391060425864688087267125086619258982670171521729917525935534336265786867682739<86> |
factorization results 素因数分解の結果 | 2769752063185670080171436411347852926535467173080570972571645565829712648685264814234013225039457433161339180649282679369310577=136361909234700142514776921467631389895243*20311772391060425864688087267125086619258982670171521729917525935534336265786867682739 cado polynomial n: 2769752063185670080171436411347852926535467173080570972571645565829712648685264814234013225039457433161339180649282679369310577 skew: 19392.636 c0: -2648841946758916289635814168 c1: 1234535183795176251229472 c2: -61406103295104379903 c3: -14114733144282683 c4: 116550606690 c5: 1571400 Y0: -2210972715583058148046223 Y1: 24649467619300849 # MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.143e-07 # f(x) = 1571400*x^5+116550606690*x^4-14114733144282683*x^3-61406103295104379903*x^2+1234535183795176251229472*x-2648841946758916289635814168 # g(x) = 24649467619300849*x-2210972715583058148046223 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.ncurves0 = 14 tasks.sieve.ncurves1 = 16 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 136361909234700142514776921467631389895243 20311772391060425864688087267125086619258982670171521729917525935534336265786867682739 Info:Square Root: Total cpu/real time for sqrt: 880.66/253.867 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 12238025 Info:Lattice Sieving: Average J: 3786.43 for 255725 special-q, max bucket fill -bkmult 1.0,1s:1.193420 Info:Lattice Sieving: Total time: 74940.2s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 2950.82 Info:Polynomial Selection (root optimized): Rootsieve time: 2948.42 Info:Linear Algebra: Total cpu/real time for bwc: 10008.8/2572.62 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 6294.17, WCT time 1609.99, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations) Info:Linear Algebra: Lingen CPU time 148.65, WCT time 37.77 Info:Linear Algebra: Mksol: CPU time 3437.78, WCT time 878.42, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations) 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): 20246/38.100/45.058/48.440/0.874 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16034/37.130/40.459/45.860/1.049 Info:Polynomial Selection (size optimized): Total time: 1963 Info:Generate Free Relations: Total cpu/real time for freerel: 126.39/33.0279 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 202.37/199.07 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.9s Info:Generate Factor Base: Total cpu/real time for makefb: 8.59/2.36735 Info:Quadratic Characters: Total cpu/real time for characters: 30.16/12.0709 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.96/55.9885 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.400000000000006s Info:Square Root: Total cpu/real time for sqrt: 880.66/253.867 Info:Filtering - Singleton removal: Total cpu/real time for purge: 141.21/161.985 Info:Filtering - Merging: Merged matrix has 815138 rows and total weight 138627711 (170.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 173.48/49.5176 Info:Filtering - Merging: Total cpu/real time for replay: 30.16/24.9325 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 155681/42149.6 Info:root: Cleaning up computation data in /tmp/cado.uniwptot 136361909234700142514776921467631389895243 20311772391060425864688087267125086619258982670171521729917525935534336265786867682739 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | October 3, 2022 12:16:30 UTC 2022 年 10 月 3 日 (月) 21 時 16 分 30 秒 (日本時間) |
composite number 合成数 | 5111326500978841464041331382561258973624767875081453541206729619383107394155045761282778876522256304082237331709667639780320215546322252201152771911256566183<157> |
prime factors 素因数 | 5452039172165230461843376604282728992732312895851652938187122083899958867<73> 937507295815873991407950843719201639489050596753695771660238916284072620422777085149<84> |
factorization results 素因数分解の結果 | Number: n N=5111326500978841464041331382561258973624767875081453541206729619383107394155045761282778876522256304082237331709667639780320215546322252201152771911256566183 ( 157 digits) SNFS difficulty: 182 digits. Divisors found: Mon Oct 3 23:11:08 2022 p73 factor: 5452039172165230461843376604282728992732312895851652938187122083899958867 Mon Oct 3 23:11:08 2022 p84 factor: 937507295815873991407950843719201639489050596753695771660238916284072620422777085149 Mon Oct 3 23:11:08 2022 elapsed time 00:15:31 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.322). Factorization parameters were as follows: # # N = 53x10^181-26 = 58(180)6 # n: 5111326500978841464041331382561258973624767875081453541206729619383107394155045761282778876522256304082237331709667639780320215546322252201152771911256566183 m: 1000000000000000000000000000000000000 deg: 5 c5: 265 c0: -13 skew: 0.55 # Murphy_E = 6.976e-11 type: snfs lss: 1 rlim: 5700000 alim: 5700000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.5 alambda: 2.5 Factor base limits: 5700000/5700000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved special-q in [100000, 8450000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1592818 hash collisions in 12442074 relations (11522863 unique) Msieve: matrix is 851661 x 851888 (296.3 MB) Sieving start time : 2022/10/03 20:19:29 Sieving end time : 2022/10/03 22:55:20 Total sieving time: 2hrs 35min 51secs. Total relation processing time: 0hrs 11min 17sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 1min 0sec. Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,51,51,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 18, 2022 15:04:27 UTC 2022 年 9 月 19 日 (月) 0 時 4 分 27 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 15, 2022 13:29:50 UTC 2022 年 9 月 15 日 (木) 22 時 29 分 50 秒 (日本時間) |
composite number 合成数 | 9769444177133227767481911264264585391744382542008820265040495447841420842214956089043508270171064307573515037728388655262672702621104798921966620327965747843211768536701<169> |
prime factors 素因数 | 132351982387472043398204096390470543861<39> 73814112950211222307481043442588881585323998054201561021885973949145799709041948545070300326330186322900488525150186263185438254441<131> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1465916392 Step 1 took 7187ms Step 2 took 3891ms ********** Factor found in step 2: 132351982387472043398204096390470543861 Found prime factor of 39 digits: 132351982387472043398204096390470543861 Prime cofactor 73814112950211222307481043442588881585323998054201561021885973949145799709041948545070300326330186322900488525150186263185438254441 has 131 digits |
software ソフトウェア | GMP-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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 15, 2022 13:34:27 UTC 2022 年 9 月 15 日 (木) 22 時 34 分 27 秒 (日本時間) |
composite number 合成数 | 76198240560191096254555389259222503850561349645354270015389711290667194257481412044389614350961650496369786381334531233430442675018133402227344511936042541998676237<164> |
prime factors 素因数 | 723943826222145238841238661997875156063<39> |
composite cofactor 合成数の残り | 105254355103526143478709668034634004003981121723619727259452019989332759888998455048345828453053169076887939961765605854702099<126> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4162962949 Step 1 took 4422ms ********** Factor found in step 2: 723943826222145238841238661997875156063 Found prime factor of 39 digits: 723943826222145238841238661997875156063 Composite cofactor 105254355103526143478709668034634004003981121723619727259452019989332759888998455048345828453053169076887939961765605854702099 has 126 digits |
software ソフトウェア | GMP-ECM |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 16, 2022 13:36:15 UTC 2022 年 9 月 16 日 (金) 22 時 36 分 15 秒 (日本時間) |
composite number 合成数 | 105254355103526143478709668034634004003981121723619727259452019989332759888998455048345828453053169076887939961765605854702099<126> |
prime factors 素因数 | 124393709981137490610973970660162625112067108351<48> 846138885314108294923972075424036045057243401785633517414364489484001353427949<78> |
factorization results 素因数分解の結果 | Number: n N=105254355103526143478709668034634004003981121723619727259452019989332759888998455048345828453053169076887939961765605854702099 ( 126 digits) Divisors found: Fri Sep 16 23:32:54 2022 p48 factor: 124393709981137490610973970660162625112067108351 Fri Sep 16 23:32:54 2022 p78 factor: 846138885314108294923972075424036045057243401785633517414364489484001353427949 Fri Sep 16 23:32:54 2022 elapsed time 00:11:47 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.309). Factorization parameters were as follows: # # Polynomial selection complete n = 58(184)6 c126 = 1052...099 # n: 105254355103526143478709668034634004003981121723619727259452019989332759888998455048345828453053169076887939961765605854702099 type: gnfs Y0: -3113055574961751883115897 Y1: 13883806599289 c0: -391256122936740005219863529721240 c1: 3792244240232804173805370486 c2: -2342113335352788397767 c3: -2719537315289810 c4: 595621406 c5: 360 # skew 1686802.32, size 4.814e-12, alpha -7.196, combined = 1.467e-10 rroots = 5 skew: 1686802.32 rlim: 2400000 alim: 2400000 lpbr: 26 lpba: 26 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 50/50 Sieved special-q in [100000, 21200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 997750 hash collisions in 6640928 relations (5807282 unique) Msieve: matrix is 686961 x 687186 (243.4 MB) Sieving start time : 2022/09/16 21:28:32 Sieving end time : 2022/09/16 23:20:55 Total sieving time: 1hrs 52min 23secs. Total relation processing time: 0hrs 6min 52sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 0sec. Prototype def-par.txt line would be: gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,26,26,50,50,2.6,2.6,60000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 22, 2022 09:31:29 UTC 2022 年 9 月 22 日 (木) 18 時 31 分 29 秒 (日本時間) |
composite number 合成数 | 210750610484422356315563884267857265748401478159283859543588410129545519948476647149747733441809792032686956300964924359350951393218013927<138> |
prime factors 素因数 | 1169687346103760395773230866182632458293287506951<49> 180176874774643524680622658642257635267215638555717844281477671760246513127873357847263777<90> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 210750610484422356315563884267857265748401478159283859543588410129545519948476647149747733441809792032686956300964924359350951393218013927 (138 digits) Using B1=24470000, B2=96189633556, polynomial Dickson(12), sigma=1:2461848325 Step 1 took 49646ms Step 2 took 17098ms ********** Factor found in step 2: 1169687346103760395773230866182632458293287506951 Found prime factor of 49 digits: 1169687346103760395773230866182632458293287506951 Prime cofactor 180176874774643524680622658642257635267215638555717844281477671760246513127873357847263777 has 90 digits |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 15, 2022 12:08:17 UTC 2022 年 9 月 15 日 (木) 21 時 8 分 17 秒 (日本時間) |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | November 8, 2022 10:35:02 UTC 2022 年 11 月 8 日 (火) 19 時 35 分 2 秒 (日本時間) |
composite number 合成数 | 6833997917124826272271918895528118191402790372217651420201579945845931189815232211421462756344194131810270880745618326264439234615665958367953819667915943<154> |
prime factors 素因数 | 7249918182163786357747511531432582054519348038050760784410499<61> 942631040159569647334322801589085165662430076868753943764747342987851467377037807432734732557<93> |
factorization results 素因数分解の結果 | 6833997917124826272271918895528118191402790372217651420201579945845931189815232211421462756344194131810270880745618326264439234615665958367953819667915943=7249918182163786357747511531432582054519348038050760784410499*942631040159569647334322801589085165662430076868753943764747342987851467377037807432734732557 cado polynomial n: 6833997917124826272271918895528118191402790372217651420201579945845931189815232211421462756344194131810270880745618326264439234615665958367953819667915943 skew: 0.35 type: snfs c0: -13 c5: 2650 Y0: 10000000000000000000000000000000000000 Y1: -1 # f(x) = 2650*x^5-13 # 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: 942631040159569647334322801589085165662430076868753943764747342987851467377037807432734732557 7249918182163786357747511531432582054519348038050760784410499 Info:Square Root: Total cpu/real time for sqrt: 603.39/189.729 Info:Generate Free Relations: Total cpu/real time for freerel: 119.38/31.4552 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 439.65/442.149 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 359.20000000000005s Info:Square Root: Total cpu/real time for sqrt: 603.39/189.729 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 108.57/119.256 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.3s Info:Filtering - Singleton removal: Total cpu/real time for purge: 333.67/383.848 Info:Filtering - Merging: Merged matrix has 1991665 rows and total weight 339745348 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 551.28/151.755 Info:Filtering - Merging: Total cpu/real time for replay: 75.5/64.828 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 25592160 Info:Lattice Sieving: Average J: 1894.3 for 2222606 special-q, max bucket fill -bkmult 1.0,1s:1.149460 Info:Lattice Sieving: Total time: 562681s Info:Linear Algebra: Total cpu/real time for bwc: 66546.9/17079.3 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 42671.98, WCT time 10888.8, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (62464 iterations) Info:Linear Algebra: Lingen CPU time 408.45, WCT time 103.72 Info:Linear Algebra: Mksol: CPU time 23083.97, WCT time 5930.12, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31232 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 69.77/29.9931 Info:Generate Factor Base: Total cpu/real time for makefb: 4.12/2.10874 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.16174e+06/64931.1 Info:root: Cleaning up computation data in /tmp/cado.5lb4in95 942631040159569647334322801589085165662430076868753943764747342987851467377037807432734732557 7249918182163786357747511531432582054519348038050760784410499 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 15, 2022 13:20:09 UTC 2022 年 9 月 15 日 (木) 22 時 20 分 9 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 16, 2022 01:56:52 UTC 2022 年 9 月 16 日 (金) 10 時 56 分 52 秒 (日本時間) |
composite number 合成数 | 243947344195894320169382306913375678910061677253060848752646598545521494982969713707079075761760103102273773359108901776673110558777501610973027708736076590260517352480898462671453557949<186> |
prime factors 素因数 | 131509745927389925339951480895559612759319848282199<51> 1854975404869113067935530314609225853298672132024692000334844274414833958811597820338373391067366305036450916013302137230124508948074251<136> |
factorization results 素因数分解の結果 | Number: n N=243947344195894320169382306913375678910061677253060848752646598545521494982969713707079075761760103102273773359108901776673110558777501610973027708736076590260517352480898462671453557949 ( 186 digits) SNFS difficulty: 189 digits. Divisors found: Fri Sep 16 11:44:02 2022 p51 factor: 131509745927389925339951480895559612759319848282199 Fri Sep 16 11:44:02 2022 p136 factor: 1854975404869113067935530314609225853298672132024692000334844274414833958811597820338373391067366305036450916013302137230124508948074251 Fri Sep 16 11:44:02 2022 elapsed time 00:48:08 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.338). Factorization parameters were as follows: # # N = 53x10^188-26 = 58(187)6 # n: 243947344195894320169382306913375678910061677253060848752646598545521494982969713707079075761760103102273773359108901776673110558777501610973027708736076590260517352480898462671453557949 m: 10000000000000000000000000000000000000 deg: 5 c5: 26500 c0: -13 skew: 0.22 # Murphy_E = 2.84e-11 type: snfs lss: 1 rlim: 10000000 alim: 10000000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 10000000/10000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved special-q in [100000, 17800000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3556609 hash collisions in 28454963 relations (26469576 unique) Msieve: matrix is 1291936 x 1292162 (449.2 MB) Sieving start time : 2022/09/16 05:23:21 Sieving end time : 2022/09/16 10:55:21 Total sieving time: 5hrs 32min 0secs. Total relation processing time: 0hrs 30min 3sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 10min 16sec. Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 16, 2022 11:09:37 UTC 2022 年 9 月 16 日 (金) 20 時 9 分 37 秒 (日本時間) |
composite number 合成数 | 46008721668401886259969328341995493280175147631419911685600445284603307864358808773702095017080443139429138666437140225877532667288620025150749<143> |
prime factors 素因数 | 632238912487677950279638848272938584118231<42> 72771100860228332407449656989008260704264331692891802051778800748195153831858710783363919476801345579<101> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4258672257 Step 1 took 5907ms Step 2 took 3359ms ********** Factor found in step 2: 632238912487677950279638848272938584118231 Found prime factor of 42 digits: 632238912487677950279638848272938584118231 Prime cofactor 72771100860228332407449656989008260704264331692891802051778800748195153831858710783363919476801345579 has 101 digits |
software ソフトウェア | GMP-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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 20, 2022 05:37:28 UTC 2022 年 9 月 20 日 (火) 14 時 37 分 28 秒 (日本時間) |
composite number 合成数 | 117359372978599480253979011254589053505982616185508335522456623125412537739903266623155920040612429614918314767841672477111950516822921251467469560388721989260113939664369<171> |
prime factors 素因数 | 42551445293889871861137787936558735880779<41> 2747636751668197702812815417084722563194641892748159103807<58> 1003792965677848310529158395454644560815410963275285926108196037068168973<73> |
factorization results 素因数分解の結果 | Number: n N=117359372978599480253979011254589053505982616185508335522456623125412537739903266623155920040612429614918314767841672477111950516822921251467469560388721989260113939664369 ( 171 digits) SNFS difficulty: 192 digits. Divisors found: Tue Sep 20 15:26:55 2022 found factor: 42551445293889871861137787936558735880779 Tue Sep 20 15:28:55 2022 found factor: 42551445293889871861137787936558735880779 Tue Sep 20 15:32:54 2022 p41 factor: 42551445293889871861137787936558735880779 Tue Sep 20 15:32:54 2022 p58 factor: 2747636751668197702812815417084722563194641892748159103807 Tue Sep 20 15:32:54 2022 p73 factor: 1003792965677848310529158395454644560815410963275285926108196037068168973 Tue Sep 20 15:32:54 2022 elapsed time 00:55:20 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.336). Factorization parameters were as follows: # # N = 53x10^191-26 = 58(190)6 # n: 117359372978599480253979011254589053505982616185508335522456623125412537739903266623155920040612429614918314767841672477111950516822921251467469560388721989260113939664369 m: 100000000000000000000000000000000000000 deg: 5 c5: 265 c0: -13 skew: 0.55 # Murphy_E = 2.719e-11 type: snfs lss: 1 rlim: 11300000 alim: 11300000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 11300000/11300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 18450000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3269281 hash collisions in 28115320 relations (26463239 unique) Msieve: matrix is 1467180 x 1467405 (511.6 MB) Sieving start time : 2022/09/20 10:02:30 Sieving end time : 2022/09/20 14:37:04 Total sieving time: 4hrs 34min 34secs. Total relation processing time: 0hrs 39min 23sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 8min 0sec. Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 24, 2022 04:54:15 UTC 2022 年 9 月 24 日 (土) 13 時 54 分 15 秒 (日本時間) |
composite number 合成数 | 124986798985052418608444998244885207531995584420695379565038252340272283740410031938475788565974003367137479838345985165714825100245989187198269229840030108839125123<165> |
prime factors 素因数 | 31503250848691671726472330771112280405231862678805643652787<59> 3967425443975827449880831557128842573637974564313778733500688655004170646406224193601472053150711580978929<106> |
factorization results 素因数分解の結果 | Number: n N=124986798985052418608444998244885207531995584420695379565038252340272283740410031938475788565974003367137479838345985165714825100245989187198269229840030108839125123 ( 165 digits) SNFS difficulty: 194 digits. Divisors found: Sat Sep 24 14:44:41 2022 p59 factor: 31503250848691671726472330771112280405231862678805643652787 Sat Sep 24 14:44:41 2022 p106 factor: 3967425443975827449880831557128842573637974564313778733500688655004170646406224193601472053150711580978929 Sat Sep 24 14:44:41 2022 elapsed time 00:56:11 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.313). Factorization parameters were as follows: # # N = 53x10^193-26 = 58(192)6 # n: 124986798985052418608444998244885207531995584420695379565038252340272283740410031938475788565974003367137479838345985165714825100245989187198269229840030108839125123 m: 100000000000000000000000000000000 deg: 6 c6: 265 c0: -13 skew: 0.61 # Murphy_E = 1.792e-11 type: snfs lss: 1 rlim: 12200000 alim: 12200000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 12200000/12200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 26100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3950221 hash collisions in 29590904 relations (27702933 unique) Msieve: matrix is 1541109 x 1541334 (537.1 MB) Sieving start time : 2022/09/24 05:53:29 Sieving end time : 2022/09/24 13:47:57 Total sieving time: 7hrs 54min 28secs. Total relation processing time: 0hrs 45min 2sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 2min 32sec. Prototype def-par.txt line would be: snfs,194,6,0,0,0,0,0,0,0,0,12200000,12200000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 21, 2022 08:18:15 UTC 2022 年 9 月 21 日 (水) 17 時 18 分 15 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | June 20, 2023 12:00:06 UTC 2023 年 6 月 20 日 (火) 21 時 0 分 6 秒 (日本時間) |
composite number 合成数 | 271282335471185076466549199636192460120743745681508941286107727122808084636785249397908174987213967145824585273757765973226887243344443189071837337<147> |
prime factors 素因数 | 10611683955898438348115052025477765475397353813447<50> 25564494438264388954188233470766303809231075011121677707117193917447750581844438772422666679475871<98> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM] Input number is 271282335471185076466549199636192460120743745681508941286107727122808084636785249397908174987213967145824585273757765973226887243344443189071837337 (147 digits) Using B1=66890000, B2=388135833550, polynomial Dickson(30), sigma=1:3876082737 Step 1 took 121318ms Step 2 took 45002ms ********** Factor found in step 2: 10611683955898438348115052025477765475397353813447 Found prime factor of 50 digits: 10611683955898438348115052025477765475397353813447 Prime cofactor 25564494438264388954188233470766303809231075011121677707117193917447750581844438772422666679475871 has 98 digits |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 21, 2022 08:35:13 UTC 2022 年 9 月 21 日 (水) 17 時 35 分 13 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | September 24, 2022 14:52:08 UTC 2022 年 9 月 24 日 (土) 23 時 52 分 8 秒 (日本時間) |
composite number 合成数 | 2282036176028158753274396717789821870633219166732457967033126071738115392582950395998410655024171260010742458642336640968122782195934768388340684310469832975725823<163> |
prime factors 素因数 | 1728196333501580188319378654334855475836767<43> 28338324602237214816613966543044731175222194081254527817<56> 46596712222522955439949362511675396204965653025555021305819693657<65> |
factorization results 素因数分解の結果 | umber: n N=1320472756358889797198346309549803770979612557780983452742647026696214861716634072857304726684973648545177420239124956769 ( 121 digits) Divisors found: Sun Sep 25 00:37:34 2022 p56 factor: 28338324602237214816613966543044731175222194081254527817 Sun Sep 25 00:37:34 2022 p65 factor: 46596712222522955439949362511675396204965653025555021305819693657 Sun Sep 25 00:37:34 2022 elapsed time 00:09:24 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.330). Factorization parameters were as follows: # # 53x10^195-26 = 58(194)6 # # GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] # Input number is 2282036176028158753274396717789821870633219166732457967033126071738115392582950395998410655024171260010742458642336640968122782195934768388340684310469832975725823 (163 digits) # Using B1=22930000, B2=96188942866, polynomial Dickson(12), sigma=1:118017248 # Step 1 took 54168ms # Step 2 took 19270ms # ********** Factor found in step 2: 1728196333501580188319378654334855475836767 # Found prime factor of 43 digits: 1728196333501580188319378654334855475836767 # Composite cofactor 1320472756358889797198346309549803770979612557780983452742647026696214861716634072857304726684973648545177420239124956769 has 121 digits # n: 1320472756358889797198346309549803770979612557780983452742647026696214861716634072857304726684973648545177420239124956769 Y0: -374212746905951169803100 Y1: 90581457162733 c0: -22038974813355398044317871359667 c1: 104878570130912668738116754 c2: 105142525423880369773 c3: -406707214623814 c4: -232635786 c5: 180 # skew 813508.93, size 1.666e-11, alpha -6.790, combined = 2.943e-10 rroots = 5 skew: 813508.93 type: gnfs rlim: 2300000 alim: 2300000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved special-q in [100000, 6750000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 621483 hash collisions in 5647570 relations (5200269 unique) Msieve: matrix is 515824 x 516049 (183.7 MB) Sieving start time : 2022/09/25 00:04:41 Sieving end time : 2022/09/25 00:27:58 Total sieving time: 0hrs 23min 17secs. Total relation processing time: 0hrs 4min 23sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 22sec. Prototype def-par.txt line would be: gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,60000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Bob Backstrom |
---|---|
date 日付 | October 1, 2022 01:16:22 UTC 2022 年 10 月 1 日 (土) 10 時 16 分 22 秒 (日本時間) |
composite number 合成数 | 24185588739939118862364795576304401517443749573028103970006281749081058348837441583674768993957548944947604871288474612403664837387970382460891892245517841970626001003388143032637633677<185> |
prime factors 素因数 | 871700521616902695884632486335639077983284319458647<51> 55430588474780910171495885612331163023942897956550291429<56> 500541243925558511766509355760956438640699836688530858714190938459375603240479<78> |
factorization results 素因数分解の結果 | Number: n N=24185588739939118862364795576304401517443749573028103970006281749081058348837441583674768993957548944947604871288474612403664837387970382460891892245517841970626001003388143032637633677 ( 185 digits) SNFS difficulty: 199 digits. Divisors found: Sat Oct 1 11:08:23 2022 found factor: 871700521616902695884632486335639077983284319458647 Sat Oct 1 11:11:20 2022 p51 factor: 871700521616902695884632486335639077983284319458647 Sat Oct 1 11:11:20 2022 p56 factor: 55430588474780910171495885612331163023942897956550291429 Sat Oct 1 11:11:20 2022 p78 factor: 500541243925558511766509355760956438640699836688530858714190938459375603240479 Sat Oct 1 11:11:20 2022 elapsed time 01:26:32 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.342). Factorization parameters were as follows: # # N = 53x10^198-26 = 58(197)6 # n: 24185588739939118862364795576304401517443749573028103970006281749081058348837441583674768993957548944947604871288474612403664837387970382460891892245517841970626001003388143032637633677 m: 1000000000000000000000000000000000 deg: 6 c6: 53 c0: -26 skew: 0.89 # Murphy_E = 1.245e-11 type: snfs lss: 1 rlim: 14900000 alim: 14900000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14900000/14900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 27450000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3730208 hash collisions in 27976653 relations (26200520 unique) Msieve: matrix is 1913269 x 1913494 (665.2 MB) Sieving start time : 2022/10/01 00:38:50 Sieving end time : 2022/10/01 09:44:17 Total sieving time: 9hrs 5min 27secs. Total relation processing time: 1hrs 12min 24sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 5min 54sec. Prototype def-par.txt line would be: snfs,199,6,0,0,0,0,0,0,0,0,14900000,14900000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | ebina |
---|---|
date 日付 | September 25, 2022 22:55:54 UTC 2022 年 9 月 26 日 (月) 7 時 55 分 54 秒 (日本時間) |
composite number 合成数 | 294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<201> |
prime factors 素因数 | 26589064501854721550002197098463746352846915799<47> 794720144710808452727715946670385943809590341427019634287366863574454493<72> 13934329797473333193480888162342418970520709780072887423939091516351919906958162049<83> |
factorization results 素因数分解の結果 | Number: 58886_200 N = 294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 (201 digits) SNFS difficulty: 202 digits. Divisors found: r1=26589064501854721550002197098463746352846915799 (pp47) r2=794720144710808452727715946670385943809590341427019634287366863574454493 (pp72) r3=13934329797473333193480888162342418970520709780072887423939091516351919906958162049 (pp83) Version: Msieve v. 1.53 (SVN unknown) Total time: 69.25 hours. Factorization parameters were as follows: n: 294444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443 m: 10000000000000000000000000000000000000000 deg: 5 c5: 53 c0: -26 skew: 0.87 # Murphy_E = 1.08e-11 type: snfs lss: 1 rlim: 16100000 alim: 16100000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16100000/16100000 Large primes per side: 3 Large prime bits: 29/29 Sieved rational special-q in [0, 0) Total raw relations: 38872853 Relations: 6226348 relations Pruned matrix : 3655489 x 3655715 Total sieving time: 61.69 hours. Total relation processing time: 0.27 hours. Matrix solve time: 6.14 hours. time per square root: 1.14 hours. Prototype def-par.txt line would be: snfs,202,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000 total time: 69.25 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel processors: 8, speed: 3.19GHz Windows-post2008Server-6.2.9200 Running Python 3.2 |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | July 15, 2023 06:50:48 UTC 2023 年 7 月 15 日 (土) 15 時 50 分 48 秒 (日本時間) |
composite number 合成数 | 2266995276277565181878498165151753846782421552970175739907318846902190831733379469267884832001754446969257817988037512689535145627757023820594622403462716562427219761119555187571<178> |
prime factors 素因数 | 849941891606930120134772460326912359<36> |
composite cofactor 合成数の残り | 2667235605944194548630672858038187609918623139754058557813597696787379419237161611862938168600864314297636101335622690065784313816859440757269<142> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3639496913 Step 1 took 5391ms ********** Factor found in step 2: 849941891606930120134772460326912359 Found prime factor of 36 digits: 849941891606930120134772460326912359 Composite cofactor 2667235605944194548630672858038187609918623139754058557813597696787379419237161611862938168600864314297636101335622690065784313816859440757269 has 142 digits |
software ソフトウェア | GMP-ECM |
name 名前 | Eric Jeancolas |
---|---|
date 日付 | December 14, 2023 06:28:16 UTC 2023 年 12 月 14 日 (木) 15 時 28 分 16 秒 (日本時間) |
composite number 合成数 | 2667235605944194548630672858038187609918623139754058557813597696787379419237161611862938168600864314297636101335622690065784313816859440757269<142> |
prime factors 素因数 | 33479798950152439623490858785704762181762660658519074714307<59> 79667013828709092025117534458925469291824274005815317239707025966410227219904324167<83> |
factorization results 素因数分解の結果 | 2667235605944194548630672858038187609918623139754058557813597696787379419237161611862938168600864314297636101335622690065784313816859440757269=33479798950152439623490858785704762181762660658519074714307*79667013828709092025117534458925469291824274005815317239707025966410227219904324167 cado polynomial n: 2667235605944194548630672858038187609918623139754058557813597696787379419237161611862938168600864314297636101335622690065784313816859440757269 skew: 310090.015 c0: 190211148225382298540011302463668 c1: -3792669611535622849655723175 c2: -38318493780019427360804 c3: 73723151573694661 c4: 126751158942 c5: 114240 Y0: -2137643689257478142012061374 Y1: 86915042688505172273 # MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.005e-07 # f(x) = 114240*x^5+126751158942*x^4+73723151573694661*x^3-38318493780019427360804*x^2-3792669611535622849655723175*x+190211148225382298540011302463668 # g(x) = 86915042688505172273*x-2137643689257478142012061374 cado parameters (extracts) tasks.lim0 = 9457107 tasks.lim1 = 12662444 tasks.lpb0 = 28 tasks.lpb1 = 29 tasks.sieve.mfb0 = 58 tasks.sieve.mfb1 = 58 tasks.I = 13 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 79667013828709092025117534458925469291824274005815317239707025966410227219904324167 33479798950152439623490858785704762181762660658519074714307 Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 2640.88/1099.81 Info:HTTP server: Got notification to stop serving Workunits Info:Filtering - Singleton removal: Total cpu/real time for purge: 393.48/475.726 Info:Filtering - Merging: Merged matrix has 2153150 rows and total weight 366751924 (170.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 544.01/265.571 Info:Filtering - Merging: Total cpu/real time for replay: 71.39/70.9443 Info:Generate Factor Base: Total cpu/real time for makefb: 4.81/4.52054 Info:Generate Free Relations: Total cpu/real time for freerel: 223/100.871 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 594.92/652.1 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 502.40000000000003s Info:Linear Algebra: Total cpu/real time for bwc: 52911.8/35328.1 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 33693.41, WCT time 22223.92, iteration CPU time 0.2, COMM 0.04, cpu-wait 0.08, comm-wait 0.01 (67584 iterations) Info:Linear Algebra: Lingen CPU time 198.66, WCT time 201.41 Info:Linear Algebra: Mksol: CPU time 18641.03, WCT time 12653.93, iteration CPU time 0.26, COMM 0.04, cpu-wait 0.07, comm-wait 0.0 (33792 iterations) Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 35018431 Info:Lattice Sieving: Average J: 3788.26 for 1292504 special-q, max bucket fill -bkmult 1.0,1s:1.186020 Info:Lattice Sieving: Total time: 733140s Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 5786.63 Info:Polynomial Selection (root optimized): Rootsieve time: 5784.42 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 69931.3 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48361/42.590/50.927/55.750/0.914 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39746/41.750/45.513/51.620/1.080 Info:Polynomial Selection (size optimized): Total time: 16875.7 Info:Square Root: Total cpu/real time for sqrt: 2640.88/1099.81 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 151.24/297.22 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 296.09999999999997s Info:Quadratic Characters: Total cpu/real time for characters: 72.66/48.008 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 774897/100669 Info:root: Cleaning up computation data in /tmp/cado.v8ot8703 79667013828709092025117534458925469291824274005815317239707025966410227219904324167 33479798950152439623490858785704762181762660658519074714307 |
software ソフトウェア | cado-nfs-3.0.0 |
execution environment 実行環境 | Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)] 13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | July 19, 2023 07:20:00 UTC 2023 年 7 月 19 日 (水) 16 時 20 分 0 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | October 19, 2023 08:39:59 UTC 2023 年 10 月 19 日 (木) 17 時 39 分 59 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 2, 2024 13:58:15 UTC 2024 年 9 月 2 日 (月) 22 時 58 分 15 秒 (日本時間) |
composite cofactor 合成数の残り | 99331967258920517520307281253906484877309025715330234581906200056869100450218965833885388911915352643818215234008537600721174454377534125806666389790495811295546273<164> |
---|
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 2, 2024 13:58:27 UTC 2024 年 9 月 2 日 (月) 22 時 58 分 27 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 14, 2022 09:36:12 UTC 2022 年 9 月 14 日 (水) 18 時 36 分 12 秒 (日本時間) |
composite number 合成数 | 3536268517860592937689834229822619660184434024573919679595298306330003200807436916295088539407983555311237762356593963871522532545616071271284900629<148> |
prime factors 素因数 | 7648807653724596934325138261986531678999<40> |
composite cofactor 合成数の残り | 462329382297723533122878088240055545374140694691295295486541068696893818043819146172134305235904585400008371<108> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1159709867 Step 1 took 22125ms Step 2 took 11000ms ********** Factor found in step 2: 7648807653724596934325138261986531678999 Found prime factor of 40 digits: 7648807653724596934325138261986531678999 Composite cofactor 462329382297723533122878088240055545374140694691295295486541068696893818043819146172134305235904585400008371 has 108 digits |
software ソフトウェア | GMP-ECM |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 14, 2022 19:46:33 UTC 2022 年 9 月 15 日 (木) 4 時 46 分 33 秒 (日本時間) |
composite number 合成数 | 462329382297723533122878088240055545374140694691295295486541068696893818043819146172134305235904585400008371<108> |
prime factors 素因数 | 3665898815244381908787153060501014650708949021<46> 126116242045514015411451765454156556260900381095236579967662351<63> |
factorization results 素因数分解の結果 | N=462329382297723533122878088240055545374140694691295295486541068696893818043819146172134305235904585400008371 ( 108 digits) Divisors found: r1=3665898815244381908787153060501014650708949021 (pp46) r2=126116242045514015411451765454156556260900381095236579967662351 (pp63) Version: Msieve v. 1.54 (SVN 1043M) Total time: 6.70 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 462329382297723533122878088240055545374140694691295295486541068696893818043819146172134305235904585400008371 skew: 1429025.55 c0: 18195824114910589294910508930 c1: -70112968901300318645907 c2: -96361389933919518 c3: 93369694502 c4: 20580 Y0: -68845562324451132798026249 Y1: 81001147077313 rlim: 2920000 alim: 2920000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 type: gnfs Factor base limits: 2920000/2920000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [1460000, 2360001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 367350 x 367576 Total sieving time: 6.55 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.11 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2920000,2920000,26,26,52,52,2.5,2.5,150000 total time: 6.70 hours. --------- CPU info (if available) ---------- |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 12, 2022 13:20:35 UTC 2022 年 9 月 12 日 (月) 22 時 20 分 35 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 2, 2024 14:12:10 UTC 2024 年 9 月 2 日 (月) 23 時 12 分 10 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 2, 2024 14:26:34 UTC 2024 年 9 月 2 日 (月) 23 時 26 分 34 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 2, 2024 14:26:45 UTC 2024 年 9 月 2 日 (月) 23 時 26 分 45 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | September 17, 2024 22:32:57 UTC 2024 年 9 月 18 日 (水) 7 時 32 分 57 秒 (日本時間) |
composite number 合成数 | 236554550499358998382559678172866554333806575005769404074002054431970426207686374309229299055155013356689298920782699658669637520177887420659754552979<150> |
prime factors 素因数 | 36450273001292304819737611844824076375124533265864421<53> 6489788169514456417158247693524118534346572382056284329494712299124287860432472648310443837669399<97> |
factorization results 素因数分解の結果 | FACTORS 6489788169514456417158247693524118534346572382056284329494712299124287860432472648310443837669399 36450273001292304819737611844824076375124533265864421 POLYNOMIAL n: 236554550499358998382559678172866554333806575005769404074002054431970426207686374309229299055155013356689298920782699658669637520177887420659754552979 skew: 105990.654 c0: -17124319564275690329642327605080 c1: 2203510607419444446353254282 c2: -36107644310149399918407 c3: -664566382031407699 c4: 1837381697190 c5: 17640 Y0: 76481936170680890014755997533 Y1: 21214555443219285918851 # MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=4.027e+14) = 6.524e-07 # f(x) = 17640*x^5+1837381697190*x^4-664566382031407699*x^3-36107644310149399918407*x^2+2203510607419444446353254282*x-17124319564275690329642327605080 # g(x) = 21214555443219285918851*x+76481936170680890014755997533 |
software ソフトウェア | cado-nfs |
execution environment 実行環境 | 4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04 |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 12, 2022 13:21:39 UTC 2022 年 9 月 12 日 (月) 22 時 21 分 39 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | September 14, 2022 10:26:34 UTC 2022 年 9 月 14 日 (水) 19 時 26 分 34 秒 (日本時間) | |
50 | 43e6 | 6454 | Ignacio Santos | December 6, 2023 10:32:08 UTC 2023 年 12 月 6 日 (水) 19 時 32 分 8 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 2, 2024 15:01:43 UTC 2024 年 9 月 3 日 (火) 0 時 1 分 43 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 2, 2024 15:01:55 UTC 2024 年 9 月 3 日 (火) 0 時 1 分 55 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 2, 2024 15:09:24 UTC 2024 年 9 月 3 日 (火) 0 時 9 分 24 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 2, 2024 15:19:53 UTC 2024 年 9 月 3 日 (火) 0 時 19 分 53 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 2, 2024 15:38:25 UTC 2024 年 9 月 3 日 (火) 0 時 38 分 25 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 2, 2024 15:57:12 UTC 2024 年 9 月 3 日 (火) 0 時 57 分 12 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 2, 2024 15:57:23 UTC 2024 年 9 月 3 日 (火) 0 時 57 分 23 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 2, 2024 16:03:19 UTC 2024 年 9 月 3 日 (火) 1 時 3 分 19 秒 (日本時間) |
name 名前 | Seth Troisi |
---|---|
date 日付 | December 6, 2023 07:53:32 UTC 2023 年 12 月 6 日 (水) 16 時 53 分 32 秒 (日本時間) |
composite number 合成数 | 528450433835164857418331477382150867473444457617317650604978627273829113800023043737748487404815259965002367934549959246684406513508290073023107583686932206362290453830813679658608205453799637949321<198> |
prime factors 素因数 | 167993795408284424124110411380136972477<39> |
composite cofactor 合成数の残り | 3145654472243115483670802326694716383810200480769359208030052741767759573336825740421642646421220983801663183492592947574063094364812198339597505309979193360573<160> |
factorization results 素因数分解の結果 | Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Tue Nov 21 10:28:18 2023 Input number is 528450433835164857418331477382150867473444457617317650604978627273829113800023043737748487404815259965002367934549959246684406513508290073023107583686932206362290453830813679658608205453799637949321 (198 digits) Using mpz_mod Using lmax = 33554432 with NTT which takes about 9600MB of memory Using B1=4000000000-4000000000, B2=8344907294582686, polynomial x^1 P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 3 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.81 0.53 0.28 0.12 0.045 0.015 0.0045 0.0012 0.00031 7.3e-05 Step 1 took 0ms Computing F from factored S_1 took 176033ms Computing h took 20544ms Computing DCT-I of h took 53798ms Multi-point evaluation 1 of 5: Computing g_i took 68134ms Computing g*h took 110170ms Computing gcd of coefficients and N took 23449ms Step 2 took 453608ms ********** Factor found in step 2: 167993795408284424124110411380136972477 Found prime factor of 39 digits: 167993795408284424124110411380136972477 Composite cofactor 3145654472243115483670802326694716383810200480769359208030052741767759573336825740421642646421220983801663183492592947574063094364812198339597505309979193360573 has 160 digits |
execution environment 実行環境 | 1080 TI for stage 1 |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | December 9, 2023 10:32:27 UTC 2023 年 12 月 9 日 (土) 19 時 32 分 27 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | December 9, 2023 14:17:38 UTC 2023 年 12 月 9 日 (土) 23 時 17 分 38 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 3, 2024 06:51:02 UTC 2024 年 9 月 3 日 (火) 15 時 51 分 2 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 3, 2024 07:06:58 UTC 2024 年 9 月 3 日 (火) 16 時 6 分 58 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 3, 2024 07:16:52 UTC 2024 年 9 月 3 日 (火) 16 時 16 分 52 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 3, 2024 07:32:00 UTC 2024 年 9 月 3 日 (火) 16 時 32 分 0 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 3, 2024 07:45:08 UTC 2024 年 9 月 3 日 (火) 16 時 45 分 8 秒 (日本時間) |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 3, 2024 07:45:54 UTC 2024 年 9 月 3 日 (火) 16 時 45 分 54 秒 (日本時間) |
composite number 合成数 | 30510121104781462431747351603815727811096785775647624250128536164127914601038068324555227393397841653411679816755633615412188022384922236449888354704108725532834002431844974136838762154772912243<194> |
prime factors 素因数 | 53076132151715863324982609433608669<35> |
composite cofactor 合成数の残り | 574836934567303823737236794267939523358839373904405213705510240000083793547474071607857983534020288828554216146785673205547616331423535860314210106749982959247<159> |
factorization results 素因数分解の結果 | Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2596820031 Step 1 took 6563ms Step 2 took 3218ms ********** Factor found in step 2: 53076132151715863324982609433608669 Found prime factor of 35 digits: 53076132151715863324982609433608669 Composite cofactor 574836934567303823737236794267939523358839373904405213705510240000083793547474071607857983534020288828554216146785673205547616331423535860314210106749982959247 has 159 digits |
software ソフトウェア | GMP-ECM |
name 名前 | Ignacio Santos |
---|---|
date 日付 | September 6, 2024 07:39:54 UTC 2024 年 9 月 6 日 (金) 16 時 39 分 54 秒 (日本時間) |
composite number 合成数 | 574836934567303823737236794267939523358839373904405213705510240000083793547474071607857983534020288828554216146785673205547616331423535860314210106749982959247<159> |
prime factors 素因数 | 690566592043096486495544539946067350794571880032387567473<57> 832413472054306571175888897952204851057334360139883578205903993191969544723366862231916814549159728639<102> |
factorization results 素因数分解の結果 | Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2979093962 Step 1 took 23938ms Step 2 took 10234ms ********** Factor found in step 2: 690566592043096486495544539946067350794571880032387567473 Found prime factor of 57 digits: 690566592043096486495544539946067350794571880032387567473 Prime cofactor 832413472054306571175888897952204851057334360139883578205903993191969544723366862231916814549159728639 has 102 digits |
software ソフトウェア | GMP-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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 6, 2024 06:07:04 UTC 2024 年 9 月 6 日 (金) 15 時 7 分 4 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 3, 2024 07:58:52 UTC 2024 年 9 月 3 日 (火) 16 時 58 分 52 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 3, 2024 08:05:04 UTC 2024 年 9 月 3 日 (火) 17 時 5 分 4 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 3, 2024 08:17:50 UTC 2024 年 9 月 3 日 (火) 17 時 17 分 50 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | October 2, 2024 16:05:00 UTC 2024 年 10 月 3 日 (木) 1 時 5 分 0 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | October 2, 2024 16:19:11 UTC 2024 年 10 月 3 日 (木) 1 時 19 分 11 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | October 2, 2024 16:36:36 UTC 2024 年 10 月 3 日 (木) 1 時 36 分 36 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2201 | Thomas Kozlowski | October 2, 2024 16:54:11 UTC 2024 年 10 月 3 日 (木) 1 時 54 分 11 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | May 14, 2024 18:28:14 UTC 2024 年 5 月 15 日 (水) 3 時 28 分 14 秒 (日本時間) |
composite number 合成数 | 18293073530966253425618850756513039361667981950508073370683340396000830145412507057254360556230038905020503497373836882006734165819418371017118998044977788643581714105461556077<176> |
prime factors 素因数 | 1069191670449407305140609269676468531126210437<46> |
composite cofactor 合成数の残り | 17109255558713087422403518109117489557384925207927458448938076084783361363449420677114086763377053762397913660808073693552249963721<131> |
factorization results 素因数分解の結果 | GPU: factor 1069191670449407305140609269676468531126210437 found in Step 1 with curve 1302 (-sigma 3:-750212539) Computing 1792 Step 1 took 3545ms of CPU time / 2558054ms of GPU time Throughput: 0.701 curves per second (on average 1427.49ms per Step 1) ********** Factor found in step 1: 1069191670449407305140609269676468531126210437 Found prime factor of 46 digits: 1069191670449407305140609269676468531126210437 Composite cofactor 17109255558713087422403518109117489557384925207927458448938076084783361363449420677114086763377053762397913660808073693552249963721 has 131 digits Peak memory usage: 9500MB |
name 名前 | Bob Backstrom |
---|---|
date 日付 | May 17, 2024 14:40:41 UTC 2024 年 5 月 17 日 (金) 23 時 40 分 41 秒 (日本時間) |
composite number 合成数 | 17109255558713087422403518109117489557384925207927458448938076084783361363449420677114086763377053762397913660808073693552249963721<131> |
prime factors 素因数 | 1008509820085240041030857722182806894558468834178804916512589<61> 16964887419010951943653996946854674466318130306088230600647435743079789<71> |
factorization results 素因数分解の結果 | CADO: STA:Fri May 17 09:21:38 AM AEST 2024 (17109255558713087422403518109117489557384925207927458448938076084783361363449420677114086763377053762397913660808073693552249963721 - C131) /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 17109255558713087422403518109117489557384925207927458448938076084783361363449420677114086763377053762397913660808073693552249963721 2>&1 | tee -a log-20 /home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead. loc = locale.getdefaultlocale()[1] Debug:root: Looking for parameter file for c131 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c130 Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c130 Info:root: No database exists yet Info:root: Created temporary directory /tmp/cado.9mmuipsw Info:Database: Opened connection to database /tmp/cado.9mmuipsw/c130.db Info:root: Set tasks.threads=18 based on --server-threads 18 Info:root: tasks.threads = 18 [via tasks.threads] Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads] Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads] Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads] Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads] Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9 Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 17109255558713087422403518109117489557384925207927458448938076084783361363449420677114086763377053762397913660808073693552249963721 Debug:root: Root parameter dictionary: N = 17109255558713087422403518109117489557384925207927458448938076084783361363449420677114086763377053762397913660808073693552249963721 name = c130 === Info:Polynomial Selection (root optimized): Best polynomial is: n: 17109255558713087422403518109117489557384925207927458448938076084783361363449420677114086763377053762397913660808073693552249963721 skew: 170165.628 c0: -7045413713465425809868367746560 c1: 88372624030192393741056026 c2: 143814031221913005645 c3: -7709559686270507 c4: -36352306524 c5: 52920 Y0: -18112083441307798647631687 Y1: 125764304226136693 # MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.517e+13) = 1.508e-06 # f(x) = 52920*x^5-36352306524*x^4-7709559686270507*x^3+143814031221913005645*x^2+88372624030192393741056026*x-7045413713465425809868367746560 # g(x) = 125764304226136693*x-18112083441307798647631687 === Debug:Command: Process with PID 58902 finished successfully Info:Square Root: finished Info:Square Root: Factors: 16964887419010951943653996946854674466318130306088230600647435743079789 1008509820085240041030857722182806894558468834178804916512589 Debug:Square Root: Exit SqrtTask.run(sqrt) Info:Complete Factorization / Discrete logarithm: Square Root Info:Square Root: Total cpu/real time for sqrt: 1151.51/140.634 Info:HTTP server: Got notification to stop serving Workunits Info:Square Root: Total cpu/real time for sqrt: 1151.51/140.634 Info:Generate Free Relations: Total cpu/real time for freerel: 225.56/27.0449 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 34430557 Info:Lattice Sieving: Average J: 3854.1 for 291344 special-q, max bucket fill -bkmult 1.0,1s:1.223690 Info:Lattice Sieving: Total time: 150375s Info:Generate Factor Base: Total cpu/real time for makefb: 2.1/0.388822 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 136.66/127.69 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 126.4s Info:Quadratic Characters: Total cpu/real time for characters: 33.19/8.79465 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 55661.1 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38558/39.030/48.108/59.660/2.215 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 32140/38.090/42.062/57.660/1.526 Info:Polynomial Selection (size optimized): Total time: 5323.53 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 547.69 Info:Polynomial Selection (root optimized): Rootsieve time: 547.29 Info:Linear Algebra: Total cpu/real time for bwc: 11636/1671.29 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 6810.53, WCT time 950.41, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (39000 iterations) Info:Linear Algebra: Lingen CPU time 47.53, WCT time 48.07 Info:Linear Algebra: Mksol: CPU time 3835.39, WCT time 544.81, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (21000 iterations) Info:Filtering - Singleton removal: Total cpu/real time for purge: 295.01/350.386 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 545.83/586.715 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 416.4s Info:Filtering - Merging: Total cpu/real time for merge: 69.97/13.0073 Info:Filtering - Merging: Total cpu/real time for replay: 18.93/16.3486 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 162091/19715.1 [05:28:35] Info:root: Cleaning up computation data in /tmp/cado.9mmuipsw 16964887419010951943653996946854674466318130306088230600647435743079789 1008509820085240041030857722182806894558468834178804916512589 END:Fri May 17 02:50:14 PM AEST 2024 (17109255558713087422403518109117489557384925207927458448938076084783361363449420677114086763377053762397913660808073693552249963721 - C131) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2350 | Ignacio Santos | September 12, 2022 15:08:17 UTC 2022 年 9 月 13 日 (火) 0 時 8 分 17 秒 (日本時間) | |
45 | 11e6 | 4480 | Ignacio Santos | September 17, 2022 10:38:34 UTC 2022 年 9 月 17 日 (土) 19 時 38 分 34 秒 (日本時間) | |
50 | 43e6 | 1792 / 6453 | Dmitry Domanov | May 12, 2024 08:19:43 UTC 2024 年 5 月 12 日 (日) 17 時 19 分 43 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2202 | Thomas Kozlowski | October 2, 2024 17:08:01 UTC 2024 年 10 月 3 日 (木) 2 時 8 分 1 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | October 2, 2024 17:25:30 UTC 2024 年 10 月 3 日 (木) 2 時 25 分 30 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2203 | Thomas Kozlowski | October 2, 2024 17:41:18 UTC 2024 年 10 月 3 日 (木) 2 時 41 分 18 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | October 2, 2024 17:55:54 UTC 2024 年 10 月 3 日 (木) 2 時 55 分 54 秒 (日本時間) |
composite number 合成数 | 64984428259643443929473503518968096324088378822433115083744083964785796611000760195198509036513891954192108683390961033865469972289658893057701267809411707006057039162313936094558473724220799921528237573260746953088599524264940287893278403099634615856200495353<260> |
prime factors 素因数 | 396434413543093495819790101365975701<36> 163922268197787174069643805179211993243275760485476975004230028218198056509686026112933910295258147517438641223762091416189184950437866978819026190454452613552118052486184069405474891075836611430896499135590419619968703543253<225> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 64984428259643443929473503518968096324088378822433115083744083964785796611000760195198509036513891954192108683390961033865469972289658893057701267809411707006057039162313936094558473724220799921528237573260746953088599524264940287893278403099634615856200495353 (260 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3560146019 Step 1 took 16639ms Step 2 took 5459ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:950378273 Step 1 took 13209ms Step 2 took 5351ms Run 3 out of 0: ... Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1036025534 Step 1 took 13157ms Step 2 took 5360ms Run 8 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3243279998 Step 1 took 13129ms Step 2 took 5376ms ** Factor found in step 2: 396434413543093495819790101365975701 Found prime factor of 36 digits: 396434413543093495819790101365975701 Prime cofactor 163922268197787174069643805179211993243275760485476975004230028218198056509686026112933910295258147517438641223762091416189184950437866978819026190454452613552118052486184069405474891075836611430896499135590419619968703543253 has 225 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04 |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2203 | Thomas Kozlowski | October 2, 2024 17:59:40 UTC 2024 年 10 月 3 日 (木) 2 時 59 分 40 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | October 2, 2024 18:02:59 UTC 2024 年 10 月 3 日 (木) 3 時 2 分 59 秒 (日本時間) |
composite number 合成数 | 1097696310043868395912761124956201324938928126586198435593750247897385430354030435029069377727152648548702331234858160505769297294079324436665899280501196766942884368372515491424879966510576725914896920666070290546110101<220> |
prime factors 素因数 | 700478267403358596098638064496377154763<39> 1567066904320928045856464535514230856149383336577151469222654753693871771820861103133393272627508668950670475668753359356529203714710271259899689541483271697046194170805770999850527<181> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 1097696310043868395912761124956201324938928126586198435593750247897385430354030435029069377727152648548702331234858160505769297294079324436665899280501196766942884368372515491424879966510576725914896920666070290546110101 (220 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:251830277 Step 1 took 13944ms Step 2 took 4406ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3943193844 Step 1 took 10112ms Step 2 took 4380ms Run 3 out of 0: ... Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3020489945 Step 1 took 10156ms Step 2 took 4408ms Run 8 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2638667558 Step 1 took 10174ms Step 2 took 4407ms ** Factor found in step 2: 700478267403358596098638064496377154763 Found prime factor of 39 digits: 700478267403358596098638064496377154763 Prime cofactor 1567066904320928045856464535514230856149383336577151469222654753693871771820861103133393272627508668950670475668753359356529203714710271259899689541483271697046194170805770999850527 has 181 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 256GB DDR$, Ubuntu Server 24.04 |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
name 名前 | Seth Troisi |
---|---|
date 日付 | January 2, 2024 18:54:34 UTC 2024 年 1 月 3 日 (水) 3 時 54 分 34 秒 (日本時間) |
composite number 合成数 | 147193075636016494159733560696185414556138058545704220525455182767212163035077456799256722700662733450531818604490345931182721545687645410425679445746546954915402113160962682812727101905480821037303369492402142437226739696684217<228> |
prime factors 素因数 | 3987687418910990447477881092515476609747<40> |
composite cofactor 合成数の残り | 36911889065821988112109965147203166339528676495620065195959058333446003776865777919087417902845879633375851668397683113787636936067732717066349970662942380545492279752126461122982261091011<188> |
factorization results 素因数分解の結果 | Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Nov 24 22:06:11 2023 Input number is 147193075636016494159733560696185414556138058545704220525455182767212163035077456799256722700662733450531818604490345931182721545687645410425679445746546954915402113160962682812727101905480821037303369492402142437226739696684217 (228 digits) Using mpz_mod Using lmax = 67108864 with NTT which takes about 21504MB of memory Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1 P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20 Probability of finding a factor of n digits (assuming one exists): 20 25 30 35 40 45 50 55 60 65 0.82 0.56 0.31 0.14 0.057 0.02 0.0066 0.002 0.00053 0.00014 Step 1 took 0ms Computing F from factored S_1 took 225350ms Computing h took 27748ms Computing DCT-I of h took 73824ms Multi-point evaluation 1 of 2: Computing g_i took 93092ms Computing g*h took 145968ms Computing gcd of coefficients and N took 27646ms Multi-point evaluation 2 of 2: Computing g_i took 94250ms Computing g*h took 144650ms Computing gcd of coefficients and N took 27339ms Step 2 took 861285ms ********** Factor found in step 2: 3987687418910990447477881092515476609747 Found prime factor of 40 digits: 3987687418910990447477881092515476609747 Composite cofactor 36911889065821988112109965147203166339528676495620065195959058333446003776865777919087417902845879633375851668397683113787636936067732717066349970662942380545492279752126461122982261091011 has 188 digits |
software ソフトウェア | GMP-ECM 7.0.6, ecm-db 0.1 |
execution environment 実行環境 | 1080 Ti for PM1 stage1 |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2500 | ddd | September 29, 2024 06:16:31 UTC 2024 年 9 月 29 日 (日) 15 時 16 分 31 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | October 2, 2024 18:17:28 UTC 2024 年 10 月 3 日 (木) 3 時 17 分 28 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2202 | Thomas Kozlowski | October 2, 2024 18:33:16 UTC 2024 年 10 月 3 日 (木) 3 時 33 分 16 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2500 | ddd | September 29, 2024 06:15:57 UTC 2024 年 9 月 29 日 (日) 15 時 15 分 57 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2201 | Thomas Kozlowski | October 2, 2024 18:52:49 UTC 2024 年 10 月 3 日 (木) 3 時 52 分 49 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | October 2, 2024 19:02:30 UTC 2024 年 10 月 3 日 (木) 4 時 2 分 30 秒 (日本時間) |
composite number 合成数 | 15313019820395364049662594288867240045924569422724823154113498589213655456133359993379942044495161567767256440834806074266733414813488863578528588905471947361378655455022084762227750373613958407399116195001514001<212> |
prime factors 素因数 | 231834244433047896836794760931013768550761<42> |
composite cofactor 合成数の残り | 66051587235714250714853237166982297642693263045649510686010792074186867097005453498219435979369723163896801948615069251677079692987307688094270478313952648170005962484841<170> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 15313019820395364049662594288867240045924569422724823154113498589213655456133359993379942044495161567767256440834806074266733414813488863578528588905471947361378655455022084762227750373613958407399116195001514001 (212 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1307949882 Step 1 took 9832ms Step 2 took 4326ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2467628421 Step 1 took 8908ms Step 2 took 4291ms Run 3 out of 0: ... Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1120917690 Step 1 took 8838ms Step 2 took 4410ms Run 24 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3219213813 Step 1 took 8915ms Step 2 took 4277ms ** Factor found in step 2: 231834244433047896836794760931013768550761 Found prime factor of 42 digits: 231834244433047896836794760931013768550761 Composite cofactor 66051587235714250714853237166982297642693263045649510686010792074186867097005453498219435979369723163896801948615069251677079692987307688094270478313952648170005962484841 has 170 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04 |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2203 | Thomas Kozlowski | October 2, 2024 19:15:47 UTC 2024 年 10 月 3 日 (木) 4 時 15 分 47 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2202 | Thomas Kozlowski | October 2, 2024 19:29:41 UTC 2024 年 10 月 3 日 (木) 4 時 29 分 41 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2204 | Thomas Kozlowski | October 2, 2024 19:49:19 UTC 2024 年 10 月 3 日 (木) 4 時 49 分 19 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2204 | Thomas Kozlowski | October 2, 2024 20:03:13 UTC 2024 年 10 月 3 日 (木) 5 時 3 分 13 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2201 | Thomas Kozlowski | October 2, 2024 20:22:52 UTC 2024 年 10 月 3 日 (木) 5 時 22 分 52 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2202 | Thomas Kozlowski | October 2, 2024 20:40:39 UTC 2024 年 10 月 3 日 (木) 5 時 40 分 39 秒 (日本時間) |
name 名前 | Thomas Kozlowski |
---|---|
date 日付 | October 2, 2024 20:48:51 UTC 2024 年 10 月 3 日 (木) 5 時 48 分 51 秒 (日本時間) |
composite number 合成数 | 14965372159060266335677231901587019392996494560352169991325863790121476058590469123027676082477948638635517462284106618309059963076738451138224552928462046859701859060219036960226871624650312259970110497464650325773298996531198884735780986660652475743264269757<260> |
prime factors 素因数 | 38460116409814825833725925629432499083<38> |
composite cofactor 合成数の残り | 389114062983989813874715983435450685095863545608558062586779979972306367147029599294077659387897832696930681614655897931263899640603545224010119772415782790819551402446530251733201568772366639719803846615349292089370123479<222> |
factorization results 素因数分解の結果 | GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM] Input number is 14965372159060266335677231901587019392996494560352169991325863790121476058590469123027676082477948638635517462284106618309059963076738451138224552928462046859701859060219036960226871624650312259970110497464650325773298996531198884735780986660652475743264269757 (260 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:832636338 Step 1 took 13816ms Step 2 took 5370ms Run 2 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1041987469 Step 1 took 13187ms Step 2 took 5353ms Run 3 out of 0: ... Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2279336228 Step 1 took 13247ms Step 2 took 5352ms Run 22 out of 0: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1009599427 Step 1 took 13142ms Step 2 took 5358ms ** Factor found in step 2: 38460116409814825833725925629432499083 Found prime factor of 38 digits: 38460116409814825833725925629432499083 Composite cofactor 389114062983989813874715983435450685095863545608558062586779979972306367147029599294077659387897832696930681614655897931263899640603545224010119772415782790819551402446530251733201568772366639719803846615349292089370123479 has 222 digits |
execution environment 実行環境 | 2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04 |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | October 2, 2024 21:06:59 UTC 2024 年 10 月 3 日 (木) 6 時 6 分 59 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | October 2, 2024 21:20:52 UTC 2024 年 10 月 3 日 (木) 6 時 20 分 52 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | October 2, 2024 21:40:31 UTC 2024 年 10 月 3 日 (木) 6 時 40 分 31 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | October 2, 2024 21:58:02 UTC 2024 年 10 月 3 日 (木) 6 時 58 分 2 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | October 2, 2024 22:15:38 UTC 2024 年 10 月 3 日 (木) 7 時 15 分 38 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2208 | Thomas Kozlowski | October 2, 2024 22:35:21 UTC 2024 年 10 月 3 日 (木) 7 時 35 分 21 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2200 | Thomas Kozlowski | October 2, 2024 22:55:27 UTC 2024 年 10 月 3 日 (木) 7 時 55 分 27 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 2206 | Thomas Kozlowski | October 2, 2024 23:32:57 UTC 2024 年 10 月 3 日 (木) 8 時 32 分 57 秒 (日本時間) |
name 名前 | Dmitry Domanov |
---|---|
date 日付 | September 11, 2022 07:44:15 UTC 2022 年 9 月 11 日 (日) 16 時 44 分 15 秒 (日本時間) |
composite number 合成数 | 1709275684431072103504963317331287878597307742444791846664683906872726623026600909218562372727493789685430708124535633334694303783955809611973134314302773870631567045242205331998421274277277927516777830862075448976734048894185708481548497988505024270747204382866659145853655169949411244828070409<295> |
prime factors 素因数 | 32844044815739404216381660337486826837842617<44> |
composite cofactor 合成数の残り | 52042179762583906837201058108176628576736474640280907021325514885983115922441443879571598329023113925398522455460830717490089719557861903837911254496970424058487008045624306568935433882853208130667956133054927245767722053774238853875237408809518221777<251> |
factorization results 素因数分解の結果 | Resuming ECM residue saved by @43d9db862d80 with GMP-ECM 7.0.5-dev on Sat Sep 10 20:59:05 2022 Input number is 1709275684431072103504963317331287878597307742444791846664683906872726623026600909218562372727493789685430708124535633334694303783955809611973134314302773870631567045242205331998421274277277927516777830862075448976734048894185708481548497988505024270747204382866659145853655169949411244828070409 (295 digits) Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2750426516 Step 1 took 0ms Step 2 took 15500ms ********** Factor found in step 2: 32844044815739404216381660337486826837842617 Found prime factor of 44 digits: 32844044815739404216381660337486826837842617 Composite cofactor 52042179762583906837201058108176628576736474640280907021325514885983115922441443879571598329023113925398522455460830717490089719557861903837911254496970424058487008045624306568935433882853208130667956133054927245767722053774238853875237408809518221777 has 251 digits |
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 9, 2022 16:00:00 UTC 2022 年 9 月 10 日 (土) 1 時 0 分 0 秒 (日本時間) | |
40 | 3e6 | 1792 | Dmitry Domanov | September 13, 2022 15:19:38 UTC 2022 年 9 月 14 日 (水) 0 時 19 分 38 秒 (日本時間) | |
45 | 11e6 | 3584 | Dmitry Domanov | September 13, 2022 15:19:38 UTC 2022 年 9 月 14 日 (水) 0 時 19 分 38 秒 (日本時間) | |
50 | 43e6 | 130 / 6675 | Dmitry Domanov | September 13, 2022 15:19:38 UTC 2022 年 9 月 14 日 (水) 0 時 19 分 38 秒 (日本時間) |