## 10194+8

### c174

name 名前 Eric Jeancolas September 8, 2020 00:53:12 UTC 2020 年 9 月 8 日 (火) 9 時 53 分 12 秒 (日本時間) `164832127461638912899227698495082026227003786385048279390412986208650556275943645139077784003161747088260175818765753697596442806129794736865374476019011422439041737505938241<174>` ```347479145961149558011720337178214050174088981034071499401672505021808366442469184691<84> 474365524888415097017490948352542910633389487183308297930504592979975669209586027788309051<90>``` ```164832127461638912899227698495082026227003786385048279390412986208650556275943645139077784003161747088260175818765753697596442806129794736865374476019011422439041737505938241=347479145961149558011720337178214050174088981034071499401672505021808366442469184691*474365524888415097017490948352542910633389487183308297930504592979975669209586027788309051 cado polynomial n: 164832127461638912899227698495082026227003786385048279390412986208650556275943645139077784003161747088260175818765753697596442806129794736865374476019011422439041737505938241 skew: 0.24 type: snfs c0: 1 c5: 1250 Y0: 100000000000000000000000000000000000000 Y1: -1 # f(x) = 1250*x^5+1 # g(x) = -x+100000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 11600000 tasks.lim1 = 11600000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.sqrt.threads = 2 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 347479145961149558011720337178214050174088981034071499401672505021808366442469184691 474365524888415097017490948352542910633389487183308297930504592979975669209586027788309051 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 12.16/2.85731 Info:Generate Free Relations: Total cpu/real time for freerel: 259.46/42.2147 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 26969735 Info:Lattice Sieving: Average J: 1893.95 for 2194290 special-q, max bucket fill -bkmult 1.0,1s:1.127490 Info:Lattice Sieving: Total time: 674763s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 132.41/428.85 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 425.5s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1059.51/1376.5 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1194.2s Info:Filtering - Singleton removal: Total cpu/real time for purge: 896.22/1361.86 Info:Filtering - Merging: Total cpu/real time for merge: 2040.26/2068.06 Info:Filtering - Merging: Total cpu/real time for replay: 202.85/237.773 Info:Linear Algebra: Total cpu/real time for bwc: 210016/96623.1 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 77122.32, iteration CPU time 0.98, COMM 0.02, cpu-wait 0.14, comm-wait 0.0 (67072 iterations) Info:Linear Algebra: Lingen CPU time 1365.37, WCT time 320.77 Info:Linear Algebra: Mksol: WCT time 18097.36, iteration CPU time 0.45, COMM 0.01, cpu-wait 0.07, comm-wait 0.0 (33792 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 165.83/59.3384 Info:Square Root: Total cpu/real time for sqrt: 1391.61/670.083 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.29858e+06/303720 Info:root: Cleaning up computation data in /tmp/cado.n7o_3esp 347479145961149558011720337178214050174088981034071499401672505021808366442469184691 474365524888415097017490948352542910633389487183308297930504592979975669209586027788309051``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:50:14 UTC 2020 年 8 月 25 日 (火) 23 時 50 分 14 秒 (日本時間)

## 10196+8

### c164

name 名前 Eric Jeancolas September 6, 2020 04:08:45 UTC 2020 年 9 月 6 日 (日) 13 時 8 分 45 秒 (日本時間) `19546589176806039903928483172541501007183823169629710544326686694611898375281511104470473609828144611193476909437068403585716081578387652292436300008162488453681931<164>` ```120934195135912314695146134459261820081991992826434689172579114969<66> 161629960449470373992699437487433547702575611745722236109599082211180732378448794447968963947700099<99>``` ```19546589176806039903928483172541501007183823169629710544326686694611898375281511104470473609828144611193476909437068403585716081578387652292436300008162488453681931=120934195135912314695146134459261820081991992826434689172579114969*161629960449470373992699437487433547702575611745722236109599082211180732378448794447968963947700099 cado polynomial n: 19546589176806039903928483172541501007183823169629710544326686694611898375281511104470473609828144611193476909437068403585716081578387652292436300008162488453681931 skew: 0.96 type: snfs c0: 4 c5: 5 Y0: 1000000000000000000000000000000000000000 Y1: -1 # f(x) = 5*x^5+4 # g(x) = -x+1000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 12800000 tasks.lim1 = 12800000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log lost``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:50:50 UTC 2020 年 8 月 25 日 (火) 23 時 50 分 50 秒 (日本時間)

## 10203+8

### c169

name 名前 Bob Backstrom August 13, 2021 22:39:54 UTC 2021 年 8 月 14 日 (土) 7 時 39 分 54 秒 (日本時間) `4005406688295701096433694009437529113262912671902575342824399267420244649748914896299991831379815005846994616464498508881150428314695485366158676543265637848559864166101<169>` ```53924808009170938604897177642291590225375947221701<50> 74277625385601846821685251467717212846289126060566756025739377433059818940941363085688108328844338387687129753859464401<119>``` ```# # N = 10^203+8 = 10(202)8 # n: 4005406688295701096433694009437529113262912671902575342824399267420244649748914896299991831379815005846994616464498508881150428314695485366158676543265637848559864166101 m: 10000000000000000000000000000000000000000 deg: 5 c5: 125 c0: 1 skew: 0.38 # Murphy_E = 1.528e-11 type: snfs lss: 1 rlim: 16300000 alim: 16300000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 4005406688295701096433694009437529113262912671902575342824399267420244649748914896299991831379815005846994616464498508881150428314695485366158676543265637848559864166101 (169 digits) Using B1=44900000, B2=240492732496, polynomial Dickson(12), sigma=1:1315441581 Step 1 took 104677ms Step 2 took 35502ms ********** Factor found in step 2: 53924808009170938604897177642291590225375947221701 Found prime factor of 50 digits: 53924808009170938604897177642291590225375947221701 Prime cofactor 74277625385601846821685251467717212846289126060566756025739377433059818940941363085688108328844338387687129753859464401 has 119 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:51:07 UTC 2020 年 8 月 25 日 (火) 23 時 51 分 7 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 29, 2020 06:53:41 UTC 2020 年 8 月 29 日 (土) 15 時 53 分 41 秒 (日本時間)

## 10206+8

### c180

name 名前 ebina February 11, 2022 13:09:14 UTC 2022 年 2 月 11 日 (金) 22 時 9 分 14 秒 (日本時間) `525153285516401847150905346062044400191264763174116885619889670179939154330411530827615468567078715464836379207694526256385155112617996794254971398269655439436122106195854475812107<180>` ```107818587784250251464367241002855293997441208412565458649497974099100699528912499<81> 4870711964501489563947911773197881709381703571652898951598943461117949602880813736960599915386800393<100>``` ```Tue Jun 27 17:22:16 2017 Msieve v. 1.53 (SVN unknown) Tue Jun 27 17:22:16 2017 random seeds: d26737a0 2a22acf6 Tue Jun 27 17:22:16 2017 factoring 525153285516401847150905346062044400191264763174116885619889670179939154330411530827615468567078715464836379207694526256385155112617996794254971398269655439436122106195854475812107 (180 digits) Tue Jun 27 17:22:17 2017 searching for 15-digit factors Tue Jun 27 17:22:18 2017 commencing number field sieve (180-digit input) Tue Jun 27 17:22:18 2017 R0: -100000000000000000000000000000000000000000 Tue Jun 27 17:22:18 2017 R1: 1 Tue Jun 27 17:22:18 2017 A0: 4 Tue Jun 27 17:22:18 2017 A1: 0 Tue Jun 27 17:22:18 2017 A2: 0 Tue Jun 27 17:22:18 2017 A3: 0 Tue Jun 27 17:22:18 2017 A4: 0 Tue Jun 27 17:22:18 2017 A5: 5 Tue Jun 27 17:22:18 2017 skew 0.96, size 4.691e-14, alpha 0.512, combined = 1.173e-11 rroots = 1 Tue Jun 27 17:22:18 2017 Tue Jun 27 17:22:18 2017 commencing square root phase Tue Jun 27 17:22:18 2017 reading relations for dependency 1 Tue Jun 27 17:22:18 2017 read 1888422 cycles Tue Jun 27 17:22:21 2017 cycles contain 6500164 unique relations Tue Jun 27 17:23:35 2017 read 6500164 relations Tue Jun 27 17:24:05 2017 multiplying 6500164 relations Tue Jun 27 17:27:04 2017 multiply complete, coefficients have about 169.83 million bits Tue Jun 27 17:27:05 2017 initial square root is modulo 1243691 Tue Jun 27 17:30:46 2017 GCD is N, no factor found Tue Jun 27 17:30:46 2017 reading relations for dependency 2 Tue Jun 27 17:30:46 2017 read 1889961 cycles Tue Jun 27 17:30:49 2017 cycles contain 6505730 unique relations Tue Jun 27 17:32:02 2017 read 6505730 relations Tue Jun 27 17:32:31 2017 multiplying 6505730 relations Tue Jun 27 17:35:28 2017 multiply complete, coefficients have about 169.98 million bits Tue Jun 27 17:35:29 2017 initial square root is modulo 1259051 Tue Jun 27 17:39:10 2017 sqrtTime: 1012 Tue Jun 27 17:39:10 2017 p81 factor: 107818587784250251464367241002855293997441208412565458649497974099100699528912499 Tue Jun 27 17:39:10 2017 p100 factor: 4870711964501489563947911773197881709381703571652898951598943461117949602880813736960599915386800393 Tue Jun 27 17:39:10 2017 elapsed time 00:16:54 Tue Jun 27 17:39:10 2017 -> Computing 1.49855e+09 scale for this machine... Tue Jun 27 17:39:10 2017 -> procrels -speedtest> PIPE Tue Jun 27 17:39:12 2017 -> Factorization summary written to s206-1218.txt```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:51:21 UTC 2020 年 8 月 25 日 (火) 23 時 51 分 21 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasAugust 29, 2020 06:54:16 UTC 2020 年 8 月 29 日 (土) 15 時 54 分 16 秒 (日本時間)

## 10209+8

### c193

name 名前 Bob Backstrom July 10, 2021 08:45:33 UTC 2021 年 7 月 10 日 (土) 17 時 45 分 33 秒 (日本時間) `1929333387491688277741138844578708026578515732233071528012089243231670802909934673558608752080273885678453530201083394269590157578073987426354445614015639629143884494560082920880271164898278003<193>` ```24973889951372606942687192641510627629722058027453791632243922929<65> 77254019748158971681715220917386670243253058306587750666814046345324311997404605359241029611853438760415480974098261442185657507<128>``` ```Number: n N=1929333387491688277741138844578708026578515732233071528012089243231670802909934673558608752080273885678453530201083394269590157578073987426354445614015639629143884494560082920880271164898278003 ( 193 digits) SNFS difficulty: 208 digits. Divisors found: Sat Jul 10 18:39:59 2021 p65 factor: 24973889951372606942687192641510627629722058027453791632243922929 Sat Jul 10 18:39:59 2021 p128 factor: 77254019748158971681715220917386670243253058306587750666814046345324311997404605359241029611853438760415480974098261442185657507 Sat Jul 10 18:39:59 2021 elapsed time 02:07:17 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 10^209+8 = 10(208)8 # n: 1929333387491688277741138844578708026578515732233071528012089243231670802909934673558608752080273885678453530201083394269590157578073987426354445614015639629143884494560082920880271164898278003 m: 500000000000000000000000000000000000000000 deg: 5 c5: 2 c0: 5 skew: 1.20 # Murphy_E = 8.16e-12 type: snfs lss: 1 rlim: 21000000 alim: 21000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 21000000/21000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 37700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8210660 hash collisions in 60671633 relations (54945810 unique) Msieve: matrix is 2340397 x 2340622 (813.7 MB) Sieving start time : 2021/07/10 04:49:43 Sieving end time : 2021/07/10 16:31:24 Total sieving time: 11hrs 41min 41secs. Total relation processing time: 1hrs 43min 39sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 7min 27sec. Prototype def-par.txt line would be: snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved) [ 0.153499] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064) [ 0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:51:38 UTC 2020 年 8 月 25 日 (火) 23 時 51 分 38 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasSeptember 2, 2020 17:41:28 UTC 2020 年 9 月 3 日 (木) 2 時 41 分 28 秒 (日本時間)

## 10212+8

### c201

name 名前 ebina February 11, 2022 13:21:13 UTC 2022 年 2 月 11 日 (金) 22 時 21 分 13 秒 (日本時間) `103441010365534402839377986615472456435201210669930954200457232696445801978478706654026892501340641401457726084966318822486982982076373632579600481795399898665808276288002087086201583952266807539546097<201>` ```13455310261989754475339785004435673631141690835161489<53> 7687746202162838527392533206401776439252744830610919211685187267616505760420957379187625422550303894197427538203932151212606865373904450599204376673<148>``` ```Input number is 103441010365534402839377986615472456435201210669930954200457232696445801978478706654026892501340641401457726084966318822486982982076373632579600481795399898665808276288002087086201583952266807539546097 (201 digits) Using B1=100000000, B2=776268975310, polynomial Dickson(30), sigma=2:998755372268130751 Step 1 took 440017ms Step 2 took 214486ms ********** Factor found in step 2: 13455310261989754475339785004435673631141690835161489 Found probable prime factor of 53 digits: 13455310261989754475339785004435673631141690835161489 Probable prime cofactor 7687746202162838527392533206401776439252744830610919211685187267616505760420957379187625422550303894197427538203932151212606865373904450599204376673 has 148 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:52:31 UTC 2020 年 8 月 25 日 (火) 23 時 52 分 31 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasSeptember 5, 2020 06:31:31 UTC 2020 年 9 月 5 日 (土) 15 時 31 分 31 秒 (日本時間)

## 10215+8

### c188

name 名前 ebina February 11, 2022 13:24:36 UTC 2022 年 2 月 11 日 (金) 22 時 24 分 36 秒 (日本時間) `83414774051617275751515480047918248446103258411955339782814763445688722275257272119098784067763637406721935392904705146621999080503291364214629241544355702897634136872009845589193073969809<188>` ```87446729264215705708721952949299179984011686514891499893114481677954921<71> 953892441186495508976785384882897837985728667812397200091935346705567178504800098826168114011213258813210134709585129<117>``` ```Sat Mar 11 09:26:25 2017 Msieve v. 1.53 (SVN unknown) Sat Mar 11 09:26:25 2017 random seeds: eab47b68 5e493410 Sat Mar 11 09:26:25 2017 factoring 83414774051617275751515480047918248446103258411955339782814763445688722275257272119098784067763637406721935392904705146621999080503291364214629241544355702897634136872009845589193073969809 (188 digits) Sat Mar 11 09:26:27 2017 searching for 15-digit factors Sat Mar 11 09:26:28 2017 commencing number field sieve (188-digit input) Sat Mar 11 09:26:28 2017 R0: -500000000000000000000000000000000000 Sat Mar 11 09:26:28 2017 R1: 1 Sat Mar 11 09:26:28 2017 A0: 5 Sat Mar 11 09:26:28 2017 A1: 0 Sat Mar 11 09:26:28 2017 A2: 0 Sat Mar 11 09:26:28 2017 A3: 0 Sat Mar 11 09:26:28 2017 A4: 0 Sat Mar 11 09:26:28 2017 A5: 0 Sat Mar 11 09:26:28 2017 A6: 4 Sat Mar 11 09:26:28 2017 skew 1.00, size 1.249e-10, alpha 0.958, combined = 3.927e-12 rroots = 0 Sat Mar 11 09:26:28 2017 Sat Mar 11 09:26:28 2017 commencing square root phase Sat Mar 11 09:26:28 2017 reading relations for dependency 1 Sat Mar 11 09:26:30 2017 read 2204541 cycles Sat Mar 11 09:26:34 2017 cycles contain 6732302 unique relations Sat Mar 11 09:28:40 2017 read 6732302 relations Sat Mar 11 09:29:31 2017 multiplying 6732302 relations Sat Mar 11 09:37:26 2017 multiply complete, coefficients have about 174.87 million bits Sat Mar 11 09:37:27 2017 initial square root is modulo 1886119 Sat Mar 11 09:46:55 2017 GCD is N, no factor found Sat Mar 11 09:46:55 2017 reading relations for dependency 2 Sat Mar 11 09:46:56 2017 read 2203696 cycles Sat Mar 11 09:47:01 2017 cycles contain 6728268 unique relations Sat Mar 11 09:49:01 2017 read 6728268 relations Sat Mar 11 09:49:51 2017 multiplying 6728268 relations Sat Mar 11 09:58:10 2017 multiply complete, coefficients have about 174.77 million bits Sat Mar 11 09:58:12 2017 initial square root is modulo 1870879 Sat Mar 11 10:07:11 2017 GCD is 1, no factor found Sat Mar 11 10:07:11 2017 reading relations for dependency 3 Sat Mar 11 10:07:12 2017 read 2204426 cycles Sat Mar 11 10:07:17 2017 cycles contain 6732292 unique relations Sat Mar 11 10:09:12 2017 read 6732292 relations Sat Mar 11 10:10:02 2017 multiplying 6732292 relations Sat Mar 11 10:18:22 2017 multiply complete, coefficients have about 174.87 million bits Sat Mar 11 10:18:24 2017 initial square root is modulo 1886119 Sat Mar 11 10:27:23 2017 sqrtTime: 3655 Sat Mar 11 10:27:23 2017 p71 factor: 87446729264215705708721952949299179984011686514891499893114481677954921 Sat Mar 11 10:27:23 2017 p117 factor: 953892441186495508976785384882897837985728667812397200091935346705567178504800098826168114011213258813210134709585129 Sat Mar 11 10:27:23 2017 elapsed time 01:00:58 Sat Mar 11 10:27:23 2017 -> Computing 1.4892e+09 scale for this machine... Sat Mar 11 10:27:23 2017 -> procrels -speedtest> PIPE Sat Mar 11 10:27:28 2017 -> Factorization summary written to s215-1056.txt```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:51:53 UTC 2020 年 8 月 25 日 (火) 23 時 51 分 53 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasSeptember 9, 2020 17:47:36 UTC 2020 年 9 月 10 日 (木) 2 時 47 分 36 秒 (日本時間)

## 10217+8

### c145

name 名前 Eric Jeancolas September 9, 2020 03:47:42 UTC 2020 年 9 月 9 日 (水) 12 時 47 分 42 秒 (日本時間) `3653430836305706969911440457242047932580081700519107496013220018326661229689920409741988367003467351856263696546548700116354203657744368726706109<145>` ```5299636787629779587561900588238788987177104079641<49> 689373816113853881798727136391150100346101489152147785847949212676424843208714731056690558855749<96>``` ```3653430836305706969911440457242047932580081700519107496013220018326661229689920409741988367003467351856263696546548700116354203657744368726706109=5299636787629779587561900588238788987177104079641*689373816113853881798727136391150100346101489152147785847949212676424843208714731056690558855749 cado polynomial n: 3653430836305706969911440457242047932580081700519107496013220018326661229689920409741988367003467351856263696546548700116354203657744368726706109 skew: 158029.434 c0: -174914203618736077836957267162096 c1: 10179671094828921431497869246 c2: 84144623802838311291115 c3: -726226751030283287 c4: -208570091400 c5: 5758560 Y0: -6479456286834555598960115499 Y1: 13626007221764434159 # MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.718e-07 # f(x) = 5758560*x^5-208570091400*x^4-726226751030283287*x^3+84144623802838311291115*x^2+10179671094828921431497869246*x-174914203618736077836957267162096 # g(x) = 13626007221764434159*x-6479456286834555598960115499 cado log (extracts) Info:Square Root: Factors: 689373816113853881798727136391150100346101489152147785847949212676424843208714731056690558855749 5299636787629779587561900588238788987177104079641 Info:Square Root: Total cpu/real time for sqrt: 3340.81/1157.95 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 77228.6 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78952/43.630/52.098/56.680/0.910 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64915/42.740/46.652/52.870/1.153 Info:Polynomial Selection (size optimized): Total time: 41806.3 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 5341.52 Info:Polynomial Selection (root optimized): Rootsieve time: 5336.67 Info:Generate Factor Base: Total cpu/real time for makefb: 19.11/5.09535 Info:Generate Free Relations: Total cpu/real time for freerel: 446.36/112.89 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 49189821 Info:Lattice Sieving: Average J: 3793.38 for 1200187 special-q, max bucket fill -bkmult 1.0,1s:1.085360 Info:Lattice Sieving: Total time: 1.68919e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.42/247.994 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 247.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 964.51/882.55 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 777.5999999999999s Info:Filtering - Singleton removal: Total cpu/real time for purge: 819.57/833.521 Info:Filtering - Merging: Total cpu/real time for merge: 505.66/147.504 Info:Filtering - Merging: Total cpu/real time for replay: 151.02/128.901 Info:Linear Algebra: Total cpu/real time for bwc: 230343/59248.7 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 37953.25, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (110592 iterations) Info:Linear Algebra: Lingen CPU time 791.96, WCT time 227.8 Info:Linear Algebra: Mksol: WCT time 20603.24, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (55296 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 142.11/59.7038 Info:Square Root: Total cpu/real time for sqrt: 3340.81/1157.95 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.10992e+06/648.204 689373816113853881798727136391150100346101489152147785847949212676424843208714731056690558855749 5299636787629779587561900588238788987177104079641``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:53:01 UTC 2020 年 8 月 25 日 (火) 23 時 53 分 1 秒 (日本時間)
403e61200Dmitry DomanovSeptember 4, 2020 22:02:11 UTC 2020 年 9 月 5 日 (土) 7 時 2 分 11 秒 (日本時間)
4511e6600 / 4160Dmitry DomanovSeptember 5, 2020 17:28:03 UTC 2020 年 9 月 6 日 (日) 2 時 28 分 3 秒 (日本時間)

## 10218+8

### c164

name 名前 Eric Jeancolas September 10, 2020 01:30:40 UTC 2020 年 9 月 10 日 (木) 10 時 30 分 40 秒 (日本時間) `16708135791982761288477905833346087545305481528460917016070278126317427440706421693569469663512908341843339774197102924913267617381484321080912221152466726114639969<164>` ```5687085420239495859278458658927948162432422657<46> 2937908358562890093123046575128172009493454100081377988312276605127667846845796708428452071552479835870206534000856417<118>``` ```GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 16708135791982761288477905833346087545305481528460917016070278126317427440706421693569469663512908341843339774197102924913267617381484321080912221152466726114639969 (164 digits) Run 497 out of 2100: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4162910188 Step 1 took 91248ms Step 2 took 30968ms ********** Factor found in step 2: 5687085420239495859278458658927948162432422657 Found prime factor of 46 digits: 5687085420239495859278458658927948162432422657 Prime cofactor 2937908358562890093123046575128172009493454100081377988312276605127667846845796708428452071552479835870206534000856417 has 118 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:55:03 UTC 2020 年 8 月 25 日 (火) 23 時 55 分 3 秒 (日本時間)
403e60 / 308--
4511e6497 / 4425Eric JeancolasSeptember 9, 2020 17:46:13 UTC 2020 年 9 月 10 日 (木) 2 時 46 分 13 秒 (日本時間)

## 10220+8

### c179

name 名前 Erik Branger October 9, 2020 20:56:24 UTC 2020 年 10 月 10 日 (土) 5 時 56 分 24 秒 (日本時間) `33639519322361680618397938873583142436096681184133313664953290300790407783226108321120330000017787580827493761157688611492917454195853655748058571766729794207154149545360589894979<179>` ```115037066706222506204411578658954114247401069619834904385823410963406157385901752826329243<90> 292423305683454764102291717699049695999062688890070529353250621586211622579074933520325753<90>``` ```Number: 10008_220 N = 33639519322361680618397938873583142436096681184133313664953290300790407783226108321120330000017787580827493761157688611492917454195853655748058571766729794207154149545360589894979 (179 digits) SNFS difficulty: 221 digits. Divisors found: r1=115037066706222506204411578658954114247401069619834904385823410963406157385901752826329243 (pp90) r2=292423305683454764102291717699049695999062688890070529353250621586211622579074933520325753 (pp90) Version: Msieve v. 1.52 (SVN unknown) Total time: 55.97 hours. Factorization parameters were as follows: n: 33639519322361680618397938873583142436096681184133313664953290300790407783226108321120330000017787580827493761157688611492917454195853655748058571766729794207154149545360589894979 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 1 c0: 8 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Relations: 6712760 relations Pruned matrix : 5918799 x 5919024 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 28.82 hours. Total relation processing time: 0.34 hours. Matrix solve time: 25.17 hours. time per square root: 1.64 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 55.97 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.18362-SP0 processors: 8, speed: 3.50GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:55:26 UTC 2020 年 8 月 25 日 (火) 23 時 55 分 26 秒 (日本時間)
403e62352iveliveSeptember 7, 2020 16:31:26 UTC 2020 年 9 月 8 日 (火) 1 時 31 分 26 秒 (日本時間)
4511e62100 / 3905Eric JeancolasSeptember 11, 2020 03:56:26 UTC 2020 年 9 月 11 日 (金) 12 時 56 分 26 秒 (日本時間)

## 10221+8

### c212

name 名前 Eric Jeancolas September 13, 2020 05:20:14 UTC 2020 年 9 月 13 日 (日) 14 時 20 分 14 秒 (日本時間) `33219345004394773178963409154574871592149975382206436283174229811944304637509058948602043459040676500639861722058050890436703077380857895643947023818953357884342725853323851522400990931466952535872979365904837329<212>` `2829990700972005002473576887511816335158003<43>` `11738323024519149295607236063319852126933200302300375017605172541444654345410279388347944826301740883121938050983612193093028112341602646465820911818461349643455472614443<170>` ```GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 33219345004394773178963409154574871592149975382206436283174229811944304637509058948602043459040676500639861722058050890436703077380857895643947023818953357884342725853323851522400990931466952535872979365904837329 (212 digits) Run 1196 out of 2100: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1132791932 Step 1 took 112169ms Step 2 took 36005ms ********** Factor found in step 2: 2829990700972005002473576887511816335158003 Found prime factor of 43 digits: 2829990700972005002473576887511816335158003 Composite cofactor 11738323024519149295607236063319852126933200302300375017605172541444654345410279388347944826301740883121938050983612193093028112341602646465820911818461349643455472614443 has 170 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 18.04 LTS [4.15.0-109-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)```

### c170

name 名前 Erik Branger May 5, 2021 17:47:24 UTC 2021 年 5 月 6 日 (木) 2 時 47 分 24 秒 (日本時間) `11738323024519149295607236063319852126933200302300375017605172541444654345410279388347944826301740883121938050983612193093028112341602646465820911818461349643455472614443<170>` ```109424432851959787138587935745040342286232201039108480339592974799141<69> 107273327524575023721596951637050260979540222716058670246429576124248524814433186435983820765535166223<102>``` ```Number: 10008_221 N = 11738323024519149295607236063319852126933200302300375017605172541444654345410279388347944826301740883121938050983612193093028112341602646465820911818461349643455472614443 (170 digits) SNFS difficulty: 221 digits. Divisors found: r1=109424432851959787138587935745040342286232201039108480339592974799141 (pp69) r2=107273327524575023721596951637050260979540222716058670246429576124248524814433186435983820765535166223 (pp102) Version: Msieve v. 1.52 (SVN unknown) Total time: 69.66 hours. Factorization parameters were as follows: n: 11738323024519149295607236063319852126933200302300375017605172541444654345410279388347944826301740883121938050983612193093028112341602646465820911818461349643455472614443 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 5 c0: 4 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Relations: 7095444 relations Pruned matrix : 6229191 x 6229415 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 32.09 hours. Total relation processing time: 0.40 hours. Matrix solve time: 37.00 hours. time per square root: 0.17 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 69.66 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.19041-SP0 processors: 8, speed: 3.50GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:56:41 UTC 2020 年 8 月 25 日 (火) 23 時 56 分 41 秒 (日本時間)
403e60--
4511e62100 / 44251196Eric JeancolasSeptember 13, 2020 05:17:01 UTC 2020 年 9 月 13 日 (日) 14 時 17 分 1 秒 (日本時間)
904Eric JeancolasSeptember 15, 2020 02:32:36 UTC 2020 年 9 月 15 日 (火) 11 時 32 分 36 秒 (日本時間)

## 10223+8

### c198

name 名前 ebina September 14, 2021 22:46:57 UTC 2021 年 9 月 15 日 (水) 7 時 46 分 57 秒 (日本時間) `269744559966279540520511236452056647910332216723932216910567849454502297558981566370810570360766612912645550727695152684658870003186731108234153707224117518632226458584178596113900952040347309735021<198>` ```41931216532368394705794598225228939430776043<44> 124534503619652320096116725926714405110729668455121<51> 51656566744658241103266644350439408050005899303893030380779981654433385365368054571752315214331882277207<104>``` ```Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:94564148 2e7 GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM] Input number is 269744559966279540520511236452056647910332216723932216910567849454502297558981566370810570360766612912645550727695152684658870003186731108234153707224117518632226458584178596113900952040347309735021 (198 digits) Using B1=20000000, B2=70272304840, polynomial Dickson(12), sigma=1:94564148 Step 1 took 60907ms Step 2 took 29984ms ********** Factor found in step 2: 41931216532368394705794598225228939430776043 Found probable prime factor of 44 digits: 41931216532368394705794598225228939430776043 Composite cofactor 6433024898241453392176870005529611163431396032721312233471580459906233236143902689518319209035125010011869944368071020440387150791733685867155671160727047 has 154 digits Number: 1966 N=6433024898241453392176870005529611163431396032721312233471580459906233236143902689518319209035125010011869944368071020440387150791733685867155671160727047 ( 154 digits) SNFS difficulty: 222 digits. Divisors found: Version: Msieve v. 1.53 (SVN unknown) Total time: 1285.05 hours. Scaled time: 7549.66 units (timescale=5.875). Factorization parameters were as follows: n: 6433024898241453392176870005529611163431396032721312233471580459906233236143902689518319209035125010011869944368071020440387150791733685867155671160727047 m: 100000000000000000000000000000000000000000000 c5: 125 c0: 1 type: snfs Factor base limits: 35200000/35200000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved rational special-q in [17600000, 50500001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 5988446 x 5988673 Total sieving time: 1219.82 hours. Total relation processing time: 0.48 hours. Matrix solve time: 64.38 hours. Time per square root: 0.36 hours. Prototype def-par.txt line would be: snfs,222.000,5,0,0,0,0,0,0,0,0,35200000,35200000,29,29,58,58,2.6,2.6,100000 total time: 1285.05 hours. --------- CPU info (if available) ---------- Sat Aug 22 15:26:55 2020 Msieve v. 1.53 (SVN unknown) Sat Aug 22 15:26:55 2020 random seeds: 6fc04a50 6f424320 Sat Aug 22 15:26:55 2020 factoring 6433024898241453392176870005529611163431396032721312233471580459906233236143902689518319209035125010011869944368071020440387150791733685867155671160727047 (154 digits) Sat Aug 22 15:26:55 2020 searching for 15-digit factors Sat Aug 22 15:26:55 2020 commencing number field sieve (154-digit input) Sat Aug 22 15:26:55 2020 R0: -100000000000000000000000000000000000000000000 Sat Aug 22 15:26:55 2020 R1: 1 Sat Aug 22 15:26:55 2020 A0: 1 Sat Aug 22 15:26:55 2020 A1: 0 Sat Aug 22 15:26:55 2020 A2: 0 Sat Aug 22 15:26:55 2020 A3: 0 Sat Aug 22 15:26:55 2020 A4: 0 Sat Aug 22 15:26:55 2020 A5: 125 Sat Aug 22 15:26:55 2020 skew 0.38, size 3.218e-15, alpha 0.267, combined = 2.137e-12 rroots = 1 Sat Aug 22 15:26:55 2020 Sat Aug 22 15:26:55 2020 commencing square root phase Sat Aug 22 15:26:55 2020 reading relations for dependency 1 Sat Aug 22 15:26:56 2020 read 2994845 cycles Sat Aug 22 15:27:00 2020 cycles contain 9166302 unique relations Sat Aug 22 15:28:10 2020 read 9166302 relations Sat Aug 22 15:28:50 2020 multiplying 9166302 relations Sat Aug 22 15:32:49 2020 multiply complete, coefficients have about 282.44 million bits Sat Aug 22 15:32:50 2020 initial square root is modulo 116981 Sat Aug 22 15:37:43 2020 GCD is N, no factor found Sat Aug 22 15:37:43 2020 reading relations for dependency 2 Sat Aug 22 15:37:44 2020 read 2994908 cycles Sat Aug 22 15:37:48 2020 cycles contain 9167914 unique relations Sat Aug 22 15:38:59 2020 read 9167914 relations Sat Aug 22 15:39:39 2020 multiplying 9167914 relations Sat Aug 22 15:43:39 2020 multiply complete, coefficients have about 282.48 million bits Sat Aug 22 15:43:40 2020 initial square root is modulo 117241 Sat Aug 22 15:48:35 2020 sqrtTime: 1300 Sat Aug 22 15:48:35 2020 p51 factor: 124534503619652320096116725926714405110729668455121 Sat Aug 22 15:48:35 2020 p104 factor: 51656566744658241103266644350439408050005899303893030380779981654433385365368054571752315214331882277207 Sat Aug 22 15:48:35 2020 elapsed time 00:21:40```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:56:22 UTC 2020 年 8 月 25 日 (火) 23 時 56 分 22 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasSeptember 16, 2020 16:28:04 UTC 2020 年 9 月 17 日 (木) 1 時 28 分 4 秒 (日本時間)

## 10224+8

### c193

name 名前 Eric Jeancolas September 19, 2020 01:56:38 UTC 2020 年 9 月 19 日 (土) 10 時 56 分 38 秒 (日本時間) `3938978849201035997322632891398748768537491047414799908660125830590313756955684006058519370825258883081547696127703779239693204457605244736885621152395122164047712870696451379962620494321163091<193>` ```239317689444539617013863864393347336789056945449<48> 16459204743048757354893923875172902512691742639571653170473860480677376558989700735720751674821873089680637758928043173784466980072603918330898459<146>``` ```GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 3938978849201035997322632891398748768537491047414799908660125830590313756955684006058519370825258883081547696127703779239693204457605244736885621152395122164047712870696451379962620494321163091 (193 digits) Run 1033 out of 2100: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2126305693 Step 1 took 104183ms Step 2 took 38188ms ********** Factor found in step 2: 239317689444539617013863864393347336789056945449 Found prime factor of 48 digits: 239317689444539617013863864393347336789056945449 Prime cofactor 16459204743048757354893923875172902512691742639571653170473860480677376558989700735720751674821873089680637758928043173784466980072603918330898459 has 146 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:56:08 UTC 2020 年 8 月 25 日 (火) 23 時 56 分 8 秒 (日本時間)
403e60--
4511e61033 / 4425Eric JeancolasSeptember 19, 2020 01:53:01 UTC 2020 年 9 月 19 日 (土) 10 時 53 分 1 秒 (日本時間)

## 10226+8

### c206

name 名前 ebina September 14, 2021 23:47:19 UTC 2021 年 9 月 15 日 (水) 8 時 47 分 19 秒 (日本時間) `26846115478901286783973754995978066131088328719125889062895246975605987814236602047658782266941238273413639729568596665628982318043787600875051163391575159954155433742743815625822460595177813797376806111289<206>` ```13727993759142041798031420636538776003330092857367235251<56> 1955574569009644423455561728666461815924602081183240271783448662794395251976612726871212936492515715106461348238575112369803177902900942250715516061539<151>``` ```Number: 2154 N = 26846115478901286783973754995978066131088328719125889062895246975605987814236602047658782266941238273413639729568596665628982318043787600875051163391575159954155433742743815625822460595177813797376806111289 (206 digits) SNFS difficulty: 226 digits. Divisors found: Version: Msieve v. 1.53 (SVN unknown) Total time: 469.68 hours. Factorization parameters were as follows: n: 26846115478901286783973754995978066131088328719125889062895246975605987814236602047658782266941238273413639729568596665628982318043787600875051163391575159954155433742743815625822460595177813797376806111289 m: 1000000000000000000000000000000000000000000000 c5: 5 c0: 4 type: snfs  Factor base limits: 40900000/40900000 Large primes per side: 3 Large prime bits: 30/30 Sieved rational special-q in [0, 0) Total raw relations: 83270992 Relations: 13345660 relations Pruned matrix : 8045868 x 8046092 Polynomial selection time: 0.00 hours. Total sieving time: 423.53 hours. Total relation processing time: 0.82 hours. Matrix solve time: 45.01 hours. time per square root: 0.32 hours. Prototype def-par.txt line would be: snfs,226,5,0,0,0,0,0,0,0,0,40900000,40900000,30,30,60,60,2.6,2.6,100000 total time: 469.68 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-post2008Server-6.2.9200 processors: 8, speed: 2.19GHz Fri May 21 08:41:50 2021 Msieve v. 1.53 (SVN unknown) Fri May 21 08:41:50 2021 random seeds: 105ee200 12d0e143 Fri May 21 08:41:50 2021 factoring 26846115478901286783973754995978066131088328719125889062895246975605987814236602047658782266941238273413639729568596665628982318043787600875051163391575159954155433742743815625822460595177813797376806111289 (206 digits) Fri May 21 08:41:51 2021 searching for 15-digit factors Fri May 21 08:41:52 2021 commencing number field sieve (206-digit input) Fri May 21 08:41:52 2021 R0: -1000000000000000000000000000000000000000000000 Fri May 21 08:41:52 2021 R1: 1 Fri May 21 08:41:52 2021 A0: 4 Fri May 21 08:41:52 2021 A1: 0 Fri May 21 08:41:52 2021 A2: 0 Fri May 21 08:41:52 2021 A3: 0 Fri May 21 08:41:52 2021 A4: 0 Fri May 21 08:41:52 2021 A5: 5 Fri May 21 08:41:52 2021 skew 0.96, size 2.177e-15, alpha 0.512, combined = 1.620e-12 rroots = 1 Fri May 21 08:41:52 2021 Fri May 21 08:41:52 2021 commencing square root phase Fri May 21 08:41:52 2021 reading relations for dependency 1 Fri May 21 08:41:54 2021 read 4022371 cycles Fri May 21 08:42:00 2021 cycles contain 13345660 unique relations Fri May 21 08:44:48 2021 read 13345660 relations Fri May 21 08:45:53 2021 multiplying 13345660 relations Fri May 21 08:52:44 2021 multiply complete, coefficients have about 359.13 million bits Fri May 21 08:52:46 2021 initial square root is modulo 2779001 Fri May 21 09:01:08 2021 sqrtTime: 1156 Fri May 21 09:01:08 2021 p56 factor: 13727993759142041798031420636538776003330092857367235251 Fri May 21 09:01:08 2021 p151 factor: 1955574569009644423455561728666461815924602081183240271783448662794395251976612726871212936492515715106461348238575112369803177902900942250715516061539 Fri May 21 09:01:08 2021 elapsed time 00:19:18 Fri May 21 09:01:08 2021 -> Computing 1.62156e+09 scale for this machine... Fri May 21 09:01:08 2021 -> procrels -speedtest> PIPE Fri May 21 09:01:11 2021 -> Factorization summary written to s226-2154.txt```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:57:03 UTC 2020 年 8 月 25 日 (火) 23 時 57 分 3 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasSeptember 22, 2020 13:30:46 UTC 2020 年 9 月 22 日 (火) 22 時 30 分 46 秒 (日本時間)

## 10227+8

### c209

name 名前 ebina September 14, 2021 22:36:06 UTC 2021 年 9 月 15 日 (水) 7 時 36 分 6 秒 (日本時間) `26451994144151589443120664386410955268456616768890583742915537528872578022065288768024726129996581271514338725754313010167583083064445709589292047403731779643700438454458246975096038787096539766340700781397369<209>` ```31995289685258580365677958092801714215344139396844883747<56> 826746511888561106108126925928730607250131555965524802708552440851410520575559006091361273715142217131588798246092204282423576719328969555840086956904627<153>``` ```Number: 2131 N=26451994144151589443120664386410955268456616768890583742915537528872578022065288768024726129996581271514338725754313010167583083064445709589292047403731779643700438454458246975096038787096539766340700781397369 ( 209 digits) SNFS difficulty: 226 digits. Divisors found: Version: Msieve v. 1.53 (SVN unknown) Total time: 1644.10 hours. Scaled time: 11569.50 units (timescale=7.037). Factorization parameters were as follows: n: 26451994144151589443120664386410955268456616768890583742915537528872578022065288768024726129996581271514338725754313010167583083064445709589292047403731779643700438454458246975096038787096539766340700781397369 m: 1000000000000000000000000000000000000000000000 c5: 25 c0: 2 type: snfs Factor base limits: 41500000/41500000 Large primes per side: 3 Large prime bits: 30/30 Max factor residue bits: 60/60 Sieved rational special-q in [20750000, 59250001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 8039916 x 8040143 Total sieving time: 1529.57 hours. Total relation processing time: 0.83 hours. Matrix solve time: 113.03 hours. Time per square root: 0.66 hours. Prototype def-par.txt line would be: snfs,226.000,5,0,0,0,0,0,0,0,0,41500000,41500000,30,30,60,60,2.6,2.6,100000 total time: 1644.10 hours. --------- CPU info (if available) ---------- Tue May 4 11:05:47 2021 Msieve v. 1.53 (SVN unknown) Tue May 4 11:05:47 2021 random seeds: 970270e8 a5b61597 Tue May 4 11:05:47 2021 factoring 26451994144151589443120664386410955268456616768890583742915537528872578022065288768024726129996581271514338725754313010167583083064445709589292047403731779643700438454458246975096038787096539766340700781397369 (209 digits) Tue May 4 11:05:48 2021 searching for 15-digit factors Tue May 4 11:05:48 2021 commencing number field sieve (209-digit input) Tue May 4 11:05:48 2021 R0: -1000000000000000000000000000000000000000000000 Tue May 4 11:05:48 2021 R1: 1 Tue May 4 11:05:48 2021 A0: 2 Tue May 4 11:05:48 2021 A1: 0 Tue May 4 11:05:48 2021 A2: 0 Tue May 4 11:05:48 2021 A3: 0 Tue May 4 11:05:48 2021 A4: 0 Tue May 4 11:05:48 2021 A5: 25 Tue May 4 11:05:48 2021 skew 0.60, size 1.591e-15, alpha 0.764, combined = 1.352e-12 rroots = 1 Tue May 4 11:05:48 2021 Tue May 4 11:05:48 2021 commencing square root phase Tue May 4 11:05:48 2021 reading relations for dependency 1 Tue May 4 11:05:49 2021 read 4019610 cycles Tue May 4 11:05:55 2021 cycles contain 12950066 unique relations Tue May 4 11:07:30 2021 read 12950066 relations Tue May 4 11:08:27 2021 multiplying 12950066 relations Tue May 4 11:13:23 2021 multiply complete, coefficients have about 375.05 million bits Tue May 4 11:13:25 2021 initial square root is modulo 5365231 Tue May 4 11:19:39 2021 GCD is 1, no factor found Tue May 4 11:19:39 2021 reading relations for dependency 2 Tue May 4 11:19:40 2021 read 4020994 cycles Tue May 4 11:19:45 2021 cycles contain 12950712 unique relations Tue May 4 11:21:31 2021 read 12950712 relations Tue May 4 11:22:27 2021 multiplying 12950712 relations Tue May 4 11:26:43 2021 multiply complete, coefficients have about 375.07 million bits Tue May 4 11:26:45 2021 initial square root is modulo 5370041 Tue May 4 11:32:12 2021 GCD is 1, no factor found Tue May 4 11:32:12 2021 reading relations for dependency 3 Tue May 4 11:32:13 2021 read 4018282 cycles Tue May 4 11:32:18 2021 cycles contain 12948408 unique relations Tue May 4 11:33:53 2021 read 12948408 relations Tue May 4 11:34:48 2021 multiplying 12948408 relations Tue May 4 11:39:26 2021 multiply complete, coefficients have about 375.00 million bits Tue May 4 11:39:28 2021 initial square root is modulo 5355421 Tue May 4 11:45:18 2021 sqrtTime: 2370 Tue May 4 11:45:18 2021 p56 factor: 31995289685258580365677958092801714215344139396844883747 Tue May 4 11:45:18 2021 p153 factor: 826746511888561106108126925928730607250131555965524802708552440851410520575559006091361273715142217131588798246092204282423576719328969555840086956904627 Tue May 4 11:45:18 2021 elapsed time 00:39:31```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:57:16 UTC 2020 年 8 月 25 日 (火) 23 時 57 分 16 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasSeptember 24, 2020 03:20:36 UTC 2020 年 9 月 24 日 (木) 12 時 20 分 36 秒 (日本時間)

## 10230+8

### c219

composite cofactor 合成数の残り `481437585812612410137347820223661292085835553238478877154143144809116010765896047559634132865471147396433388895671516400341000054378683437589491796955924196867486084322060673040261801041846857802331250254848745331113473<219>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:57:42 UTC 2020 年 8 月 25 日 (火) 23 時 57 分 42 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasSeptember 27, 2020 09:15:12 UTC 2020 年 9 月 27 日 (日) 18 時 15 分 12 秒 (日本時間)

## 10232+8

### c181

composite cofactor 合成数の残り `8514721904090428184110567355695600046521575340826324766691981934438435424997894299482444577643828624968306532645378668715581594731706247977617295129922494210377617339048142267628137<181>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e6121212Eric JeancolasAugust 25, 2020 14:57:54 UTC 2020 年 8 月 25 日 (火) 23 時 57 分 54 秒 (日本時間)
1200Eric JeancolasAugust 25, 2020 14:59:28 UTC 2020 年 8 月 25 日 (火) 23 時 59 分 28 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasOctober 2, 2020 07:21:43 UTC 2020 年 10 月 2 日 (金) 16 時 21 分 43 秒 (日本時間)

## 10235+8

### c190

composite cofactor 合成数の残り `2088441221193829038302134797836184849080409145865637091336371668355338515657781969419308167540830386521888419109261789229368436479195008960252512404594121177201868640306239401620104550890643<190>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:58:12 UTC 2020 年 8 月 25 日 (火) 23 時 58 分 12 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasOctober 3, 2020 11:28:35 UTC 2020 年 10 月 3 日 (土) 20 時 28 分 35 秒 (日本時間)

## 10236+8

### c228

name 名前 Eric Jeancolas October 5, 2020 00:37:19 UTC 2020 年 10 月 5 日 (月) 9 時 37 分 19 秒 (日本時間) `331014352702889752650981405917525046465808746315446138628863874266660872591436955284436263888137486308253329150371161097456107033411503034752826154201367894303568708106327000393218569862816794969153831717546353197663525923044777<228>` ```5649862433090504093209822355868040481099<40> 58588037606753405961103906078065067867399151079151915820668094052517130493522167996619693612860451360407694850574912843109749053226942189814774149788342304358733589558112344523105975570523<188>``` ```GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 331014352702889752650981405917525046465808746315446138628863874266660872591436955284436263888137486308253329150371161097456107033411503034752826154201367894303568708106327000393218569862816794969153831717546353197663525923044777 (228 digits) Run 65 out of 2100: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3350673060 Step 1 took 156296ms Step 2 took 50508ms ********** Factor found in step 2: 5649862433090504093209822355868040481099 Found prime factor of 40 digits: 5649862433090504093209822355868040481099 Prime cofactor 58588037606753405961103906078065067867399151079151915820668094052517130493522167996619693612860451360407694850574912843109749053226942189814774149788342304358733589558112344523105975570523 has 188 digits``` ` GMP-ECM 7.0.4` ```Linux Ubuntu 18.04 LTS [4.15.0-109-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:58:31 UTC 2020 年 8 月 25 日 (火) 23 時 58 分 31 秒 (日本時間)
403e60 / 1574--
4511e6130 / 442565Eric JeancolasOctober 3, 2020 11:26:48 UTC 2020 年 10 月 3 日 (土) 20 時 26 分 48 秒 (日本時間)
65Eric JeancolasOctober 4, 2020 03:52:53 UTC 2020 年 10 月 4 日 (日) 12 時 52 分 53 秒 (日本時間)

## 10238+8

### c224

composite cofactor 合成数の残り `44746531021836180726233588699896952051305908909035735129235432185773977770533106802916893688803356792005016294764370050614390610880714516528636234643121842625858420573907236202261996542226381393170711398663104259177846450673<224>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:58:50 UTC 2020 年 8 月 25 日 (火) 23 時 58 分 50 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasOctober 20, 2020 03:23:28 UTC 2020 年 10 月 20 日 (火) 12 時 23 分 28 秒 (日本時間)

## 10239+8

### c220

composite cofactor 合成数の残り `2670182498073259849492768942548612838790080196611651739765740583730628876606744268422461903493526555651873576403038612571296922821255586952600658262233367357951580498255154417898464028352566316572934909341164174080586783<220>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 14:59:51 UTC 2020 年 8 月 25 日 (火) 23 時 59 分 51 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasOctober 20, 2020 03:14:10 UTC 2020 年 10 月 20 日 (火) 12 時 14 分 10 秒 (日本時間)

## 10241+8

### c204

name 名前 Eric Jeancolas October 20, 2020 03:08:08 UTC 2020 年 10 月 20 日 (火) 12 時 8 分 8 秒 (日本時間) `400061864490373412692765696251797706723584093882479962241190160955198455016554716529029559990651881870794050739470673548043610659295892298349166073864857670800044993011636827247765458166144698633141837209<204>` ```1201490190729334141557843737285764603087<40> 332971394670751332890412769696586715890507801986211889993807289387694675491272224410501672653826568749253550541649006198800990655406251706811096654784782077646358807<165>``` ```GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 400061864490373412692765696251797706723584093882479962241190160955198455016554716529029559990651881870794050739470673548043610659295892298349166073864857670800044993011636827247765458166144698633141837209 (204 digits) Run 80 out of 2100: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1832409254 Step 1 took 57917ms Step 2 took 20950ms ********** Factor found in step 2: 1201490190729334141557843737285764603087 Found prime factor of 40 digits: 1201490190729334141557843737285764603087 Prime cofactor 332971394670751332890412769696586715890507801986211889993807289387694675491272224410501672653826568749253550541649006198800990655406251706811096654784782077646358807 has 165 digits``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:00:06 UTC 2020 年 8 月 26 日 (水) 0 時 0 分 6 秒 (日本時間)
403e60 / 1747--
4511e680 / 4425Eric JeancolasOctober 9, 2020 14:51:05 UTC 2020 年 10 月 9 日 (金) 23 時 51 分 5 秒 (日本時間)

## 10242+8

### c205

composite cofactor 合成数の残り `8158739153235278055267798111888475778554309126462647553757335876917714697115674658127237123601771750474654573660641195848889562085797636052429977493091800327658450091758764261985321172225351971183252872081<205>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:00:48 UTC 2020 年 8 月 26 日 (水) 0 時 0 分 48 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasOctober 20, 2020 03:16:58 UTC 2020 年 10 月 20 日 (火) 12 時 16 分 58 秒 (日本時間)

## 10247+8

### c243

composite cofactor 合成数の残り `346356331393737877528401219174286505957328899972291493488500969797727902466057079523413688002216680520919922416181767802715433638126904959822665558326406206705458575782765308949847603214186755333887503463563313937378775284012191742865059573289<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:01:05 UTC 2020 年 8 月 26 日 (水) 0 時 1 分 5 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasOctober 20, 2020 03:17:38 UTC 2020 年 10 月 20 日 (火) 12 時 17 分 38 秒 (日本時間)

## 10250+8

### c222

name 名前 ebina September 16, 2021 13:07:55 UTC 2021 年 9 月 16 日 (木) 22 時 7 分 55 秒 (日本時間) `124464837925478604418352707149820884678791160693901661210332256809924277293613990471080633402941209422854668125697810020280165018782706683669508967006213854002907515076607517153950605108232631071066408791336184768527770979<222>` ```18835612264378925184217695295102698016684351784459<50> 4584119508880790988042876493634985040916187651279210930123089898784116762625568113<82> 1441487912092768533816708953376791165115328908666798350928857208892329027832140426575891737<91>``` ```Number: 2179 N = 124464837925478604418352707149820884678791160693901661210332256809924277293613990471080633402941209422854668125697810020280165018782706683669508967006213854002907515076607517153950605108232631071066408791336184768527770979 (222 digits) SNFS difficulty: 250 digits. Divisors found: Version: Msieve v. 1.53 (SVN unknown) Total time: 636.60 hours. Factorization parameters were as follows: n: 124464837925478604418352707149820884678791160693901661210332256809924277293613990471080633402941209422854668125697810020280165018782706683669508967006213854002907515076607517153950605108232631071066408791336184768527770979 m: 100000000000000000000000000000000000000000 c6: 1250 c0: 1 type: snfs Factor base limits: 102700000/102700000 Large primes per side: 3 Large prime bits: 31/31 Sieved rational special-q in [0, 0) Total raw relations: 161855338 Relations: 27850570 relations Pruned matrix : 17369497 x 17369722 Polynomial selection time: 0.00 hours. Total sieving time: 545.51 hours. Total relation processing time: 1.07 hours. Matrix solve time: 87.60 hours. time per square root: 2.42 hours. Prototype def-par.txt line would be: snfs,250,6,0,0,0,0,0,0,0,0,102700000,102700000,31,31,62,62,2.6,2.6,100000 total time: 636.60 hours. Intel64 Family 6 Model 158 Stepping 12, GenuineIntel Windows-post2008Server-6.2.9200 processors: 16, speed: 3.60GHz Mon Sep 13 04:02:12 2021 Msieve v. 1.53 (SVN unknown) Mon Sep 13 04:02:12 2021 random seeds: bb4cb930 9e03fa9f Mon Sep 13 04:02:12 2021 factoring 124464837925478604418352707149820884678791160693901661210332256809924277293613990471080633402941209422854668125697810020280165018782706683669508967006213854002907515076607517153950605108232631071066408791336184768527770979 (222 digits) Mon Sep 13 04:02:13 2021 searching for 15-digit factors Mon Sep 13 04:02:13 2021 commencing number field sieve (222-digit input) Mon Sep 13 04:02:13 2021 R0: -100000000000000000000000000000000000000000 Mon Sep 13 04:02:13 2021 R1: 1 Mon Sep 13 04:02:13 2021 A0: 1 Mon Sep 13 04:02:13 2021 A1: 0 Mon Sep 13 04:02:13 2021 A2: 0 Mon Sep 13 04:02:13 2021 A3: 0 Mon Sep 13 04:02:13 2021 A4: 0 Mon Sep 13 04:02:13 2021 A5: 0 Mon Sep 13 04:02:13 2021 A6: 1250 Mon Sep 13 04:02:13 2021 skew 0.30, size 2.325e-12, alpha 0.015, combined = 2.210e-13 rroots = 0 Mon Sep 13 04:02:13 2021 Mon Sep 13 04:02:13 2021 commencing linear algebra Mon Sep 13 04:02:15 2021 read 17374712 cycles Mon Sep 13 04:02:34 2021 cycles contain 55701826 unique relations Mon Sep 13 04:08:18 2021 read 55701826 relations Mon Sep 13 04:09:25 2021 using 20 quadratic characters above 4294917295 Mon Sep 13 04:12:08 2021 building initial matrix Mon Sep 13 04:18:03 2021 memory use: 6987.7 MB Mon Sep 13 04:18:39 2021 read 17374712 cycles Mon Sep 13 04:18:42 2021 matrix is 17374535 x 17374712 (5254.7 MB) with weight 1520738728 (87.53/col) Mon Sep 13 04:18:42 2021 sparse part has weight 1186359797 (68.28/col) Mon Sep 13 04:20:16 2021 filtering completed in 2 passes Mon Sep 13 04:20:20 2021 matrix is 17369545 x 17369722 (5254.3 MB) with weight 1520592254 (87.54/col) Mon Sep 13 04:20:20 2021 sparse part has weight 1186324377 (68.30/col) Mon Sep 13 04:21:13 2021 matrix starts at (0, 0) Mon Sep 13 04:21:17 2021 matrix is 17369545 x 17369722 (5254.3 MB) with weight 1520592254 (87.54/col) Mon Sep 13 04:21:17 2021 sparse part has weight 1186324377 (68.30/col) Mon Sep 13 04:21:17 2021 saving the first 48 matrix rows for later Mon Sep 13 04:21:20 2021 matrix includes 64 packed rows Mon Sep 13 04:21:22 2021 matrix is 17369497 x 17369722 (5022.5 MB) with weight 1223645890 (70.45/col) Mon Sep 13 04:21:22 2021 sparse part has weight 1142922918 (65.80/col) Mon Sep 13 04:21:22 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB Mon Sep 13 04:22:13 2021 commencing Lanczos iteration (8 threads) Mon Sep 13 04:22:13 2021 memory use: 4238.2 MB Mon Sep 13 04:22:44 2021 linear algebra at 0.0%, ETA 91h48m Mon Sep 13 04:22:53 2021 checkpointing every 200000 dimensions Thu Sep 16 19:37:54 2021 lanczos halted after 274680 iterations (dim = 17369493) Thu Sep 16 19:38:05 2021 recovered 36 nontrivial dependencies Thu Sep 16 19:38:11 2021 BLanczosTime: 315358 Thu Sep 16 19:38:11 2021 elapsed time 87:35:59 Thu Sep 16 19:38:11 2021 -> Running square root step ... Thu Sep 16 19:38:11 2021 Thu Sep 16 19:38:11 2021 Thu Sep 16 19:38:11 2021 Msieve v. 1.53 (SVN unknown) Thu Sep 16 19:38:11 2021 random seeds: a7a8dc60 a526095e Thu Sep 16 19:38:11 2021 factoring 124464837925478604418352707149820884678791160693901661210332256809924277293613990471080633402941209422854668125697810020280165018782706683669508967006213854002907515076607517153950605108232631071066408791336184768527770979 (222 digits) Thu Sep 16 19:38:12 2021 searching for 15-digit factors Thu Sep 16 19:38:12 2021 commencing number field sieve (222-digit input) Thu Sep 16 19:38:12 2021 R0: -100000000000000000000000000000000000000000 Thu Sep 16 19:38:12 2021 R1: 1 Thu Sep 16 19:38:12 2021 A0: 1 Thu Sep 16 19:38:12 2021 A1: 0 Thu Sep 16 19:38:12 2021 A2: 0 Thu Sep 16 19:38:12 2021 A3: 0 Thu Sep 16 19:38:12 2021 A4: 0 Thu Sep 16 19:38:12 2021 A5: 0 Thu Sep 16 19:38:12 2021 A6: 1250 Thu Sep 16 19:38:12 2021 skew 0.30, size 2.325e-12, alpha 0.015, combined = 2.210e-13 rroots = 0 Thu Sep 16 19:38:12 2021 Thu Sep 16 19:38:12 2021 commencing square root phase Thu Sep 16 19:38:12 2021 reading relations for dependency 1 Thu Sep 16 19:38:14 2021 read 8681968 cycles Thu Sep 16 19:38:23 2021 cycles contain 27847242 unique relations Thu Sep 16 19:41:32 2021 read 27847242 relations Thu Sep 16 19:43:16 2021 multiplying 27847242 relations Thu Sep 16 19:57:47 2021 multiply complete, coefficients have about 985.42 million bits Thu Sep 16 19:57:51 2021 initial square root is modulo 692910151 Thu Sep 16 20:14:38 2021 found factor: 4584119508880790988042876493634985040916187651279210930123089898784116762625568113 Thu Sep 16 20:14:38 2021 reading relations for dependency 2 Thu Sep 16 20:14:43 2021 read 8683739 cycles Thu Sep 16 20:14:52 2021 cycles contain 27842842 unique relations Thu Sep 16 20:17:55 2021 read 27842842 relations Thu Sep 16 20:19:42 2021 multiplying 27842842 relations Thu Sep 16 20:34:14 2021 multiply complete, coefficients have about 985.27 million bits Thu Sep 16 20:34:18 2021 initial square root is modulo 690705343 Thu Sep 16 20:51:10 2021 GCD is N, no factor found Thu Sep 16 20:51:10 2021 reading relations for dependency 3 Thu Sep 16 20:51:16 2021 read 8683056 cycles Thu Sep 16 20:51:25 2021 cycles contain 27845476 unique relations Thu Sep 16 20:54:25 2021 read 27845476 relations Thu Sep 16 20:56:09 2021 multiplying 27845476 relations Thu Sep 16 21:10:45 2021 multiply complete, coefficients have about 985.35 million bits Thu Sep 16 21:10:49 2021 initial square root is modulo 691938391 Thu Sep 16 21:27:26 2021 found factor: 4584119508880790988042876493634985040916187651279210930123089898784116762625568113 Thu Sep 16 21:27:26 2021 reading relations for dependency 4 Thu Sep 16 21:27:31 2021 read 8685750 cycles Thu Sep 16 21:27:40 2021 cycles contain 27850570 unique relations Thu Sep 16 21:30:41 2021 read 27850570 relations Thu Sep 16 21:32:24 2021 multiplying 27850570 relations Thu Sep 16 21:46:52 2021 multiply complete, coefficients have about 985.53 million bits Thu Sep 16 21:46:56 2021 initial square root is modulo 694550959 Thu Sep 16 22:03:36 2021 sqrtTime: 8724 Thu Sep 16 22:03:36 2021 p50 factor: 18835612264378925184217695295102698016684351784459 Thu Sep 16 22:03:36 2021 p82 factor: 4584119508880790988042876493634985040916187651279210930123089898784116762625568113 Thu Sep 16 22:03:36 2021 p91 factor: 1441487912092768533816708953376791165115328908666798350928857208892329027832140426575891737 Thu Sep 16 22:03:36 2021 elapsed time 02:25:25 Thu Sep 16 22:03:36 2021 -> Computing 1.6318e+09 scale for this machine... Thu Sep 16 22:03:36 2021 -> procrels -speedtest> PIPE Thu Sep 16 22:03:38 2021 -> Factorization summary written to s250-2179.txt```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:01:19 UTC 2020 年 8 月 26 日 (水) 0 時 1 分 19 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasOctober 20, 2020 03:18:29 UTC 2020 年 10 月 20 日 (火) 12 時 18 分 29 秒 (日本時間)

## 10251+8

### c209

composite cofactor 合成数の残り `45654486621259268238420902576579247586296806607017279681096184912905220799379313548453883340104808984778757509555254677856168809060759739525927294298794762701766091444689392913301121988478393855007232382686063<209>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:01:32 UTC 2020 年 8 月 26 日 (水) 0 時 1 分 32 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasOctober 20, 2020 03:19:10 UTC 2020 年 10 月 20 日 (火) 12 時 19 分 10 秒 (日本時間)

## 10253+8

### c214

name 名前 ebina May 16, 2022 15:30:41 UTC 2022 年 5 月 17 日 (火) 0 時 30 分 41 秒 (日本時間) `5368756236734370129154100370763588251927871442069670952455555294823013267864507593760633305628565892317548163524352907547493558850959107442354357049152022248033608462394994292747477208827840015179384141817883111307<214>` ```11654613758594944110908743418287822293653409243846599136375995894606319983642849116372658233279781257481<104> 460655011649362129192639845594590504112176335686167711510014378545225132912301658764733453816541106557734933747<111>``` ```Mon May 16 23:15:42 2022 Msieve v. 1.53 (SVN unknown) Mon May 16 23:15:42 2022 random seeds: bda75aa8 3b75943a Mon May 16 23:15:42 2022 factoring 5368756236734370129154100370763588251927871442069670952455555294823013267864507593760633305628565892317548163524352907547493558850959107442354357049152022248033608462394994292747477208827840015179384141817883111307 (214 digits) Mon May 16 23:15:43 2022 searching for 15-digit factors Mon May 16 23:15:44 2022 commencing number field sieve (214-digit input) Mon May 16 23:15:44 2022 R0: -1000000000000000000000000000000000000000000 Mon May 16 23:15:44 2022 R1: 1 Mon May 16 23:15:44 2022 A0: 4 Mon May 16 23:15:44 2022 A1: 0 Mon May 16 23:15:44 2022 A2: 0 Mon May 16 23:15:45 2022 A3: 0 Mon May 16 23:15:45 2022 A4: 0 Mon May 16 23:15:45 2022 A5: 0 Mon May 16 23:15:45 2022 A6: 5 Mon May 16 23:15:45 2022 skew 0.96, size 1.958e-12, alpha 0.958, combined = 1.916e-13 rroots = 0 Mon May 16 23:15:45 2022 Mon May 16 23:15:45 2022 commencing square root phase Mon May 16 23:15:45 2022 reading relations for dependency 1 Mon May 16 23:15:51 2022 read 9185044 cycles Mon May 16 23:16:05 2022 cycles contain 28826210 unique relations Mon May 16 23:21:27 2022 read 28826210 relations Mon May 16 23:24:16 2022 multiplying 28826210 relations Mon May 16 23:43:39 2022 multiply complete, coefficients have about 816.63 million bits Mon May 16 23:43:44 2022 initial square root is modulo 21201133 Tue May 17 00:06:29 2022 sqrtTime: 3044 Tue May 17 00:06:29 2022 p104 factor: 11654613758594944110908743418287822293653409243846599136375995894606319983642849116372658233279781257481 Tue May 17 00:06:29 2022 p111 factor: 460655011649362129192639845594590504112176335686167711510014378545225132912301658764733453816541106557734933747 Tue May 17 00:06:29 2022 elapsed time 00:50:47```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:01:45 UTC 2020 年 8 月 26 日 (水) 0 時 1 分 45 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasOctober 20, 2020 03:19:42 UTC 2020 年 10 月 20 日 (火) 12 時 19 分 42 秒 (日本時間)

## 10254+8

### c143

name 名前 Eric Jeancolas August 29, 2020 06:31:10 UTC 2020 年 8 月 29 日 (土) 15 時 31 分 10 秒 (日本時間) `73817423137914168468831300251843889145678899342406381775894038523158775702118443832524935330164697927430535087600486215073831688469973868322633<143>` ```870829331279877483383287131924786418299689602554994312067<57> 84766808473737372815671255614660406397908451106140988831983904732763528612104573484099<86>``` ```73817423137914168468831300251843889145678899342406381775894038523158775702118443832524935330164697927430535087600486215073831688469973868322633=870829331279877483383287131924786418299689602554994312067*84766808473737372815671255614660406397908451106140988831983904732763528612104573484099=870829331279877483383287131924786418299689602554994312067*84766808473737372815671255614660406397908451106140988831983904732763528612104573484099 n: 73817423137914168468831300251843889145678899342406381775894038523158775702118443832524935330164697927430535087600486215073831688469973868322633 skew: 116537.433 c0: -8785385705098893488220494327262 c1: 398296305937457674400155428 c2: 9893374647462966015898 c3: -59345499141996347 c4: -136793865780 c5: 1072500 Y0: -3765719638085021618319628175 Y1: 5818267203650419931 # MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 2.041e-07 # f(x) = 1072500*x^5-136793865780*x^4-59345499141996347*x^3+9893374647462966015898*x^2+398296305937457674400155428*x-8785385705098893488220494327262 # g(x) = 5818267203650419931*x-3765719638085021618319628175 Info:Square Root: Factors: 84766808473737372815671255614660406397908451106140988831983904732763528612104573484099 870829331279877483383287131924786418299689602554994312067 Info:Square Root: Total cpu/real time for sqrt: 3138.97/1349.11 Info:Polynomial Selection (size optimized): Aggregate statistics: Info:Polynomial Selection (size optimized): potential collisions: 77228.6 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78388/42.240/51.474/57.720/0.915 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64566/42.040/45.969/52.170/1.058 Info:Polynomial Selection (size optimized): Total time: 42258.3 Info:Polynomial Selection (root optimized): Aggregate statistics: Info:Polynomial Selection (root optimized): Total time: 5242 Info:Polynomial Selection (root optimized): Rootsieve time: 5237.16 Info:Generate Factor Base: Total cpu/real time for makefb: 18.12/4.82709 Info:Generate Free Relations: Total cpu/real time for freerel: 469.01/118.192 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 47157661 Info:Lattice Sieving: Average J: 3781.87 for 931207 special-q, max bucket fill -bkmult 1.0,1s:1.079420 Info:Lattice Sieving: Total time: 1.45889e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 97.09/225.217 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 224.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 873.78/790.174 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 701.6999999999999s Info:Filtering - Singleton removal: Total cpu/real time for purge: 709.61/729.818 Info:Filtering - Merging: Total cpu/real time for merge: 471.56/137.549 Info:Filtering - Merging: Total cpu/real time for replay: 143.28/123.658 Info:Linear Algebra: Total cpu/real time for bwc: 203619/52180.6 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 33288.67, iteration CPU time 0.3, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (104448 iterations) Info:Linear Algebra: Lingen CPU time 704.78, WCT time 202.85 Info:Linear Algebra: Mksol: WCT time 18253.89, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (52224 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 137.3/55.9143 Info:Square Root: Total cpu/real time for sqrt: 3138.97/1349.11 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.70929e+06/620.212 84766808473737372815671255614660406397908451106140988831983904732763528612104573484099 870829331279877483383287131924786418299689602554994312067``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:02:01 UTC 2020 年 8 月 26 日 (水) 0 時 2 分 1 秒 (日本時間)

## 10256+8

### c228

composite cofactor 合成数の残り `734143690767903834719393769942748022297635002574608848538107629482632482798772357759440034354422935247101070301259159939214831012853868860896857959067412210671836286702884758818628084482291050278242421676971986082694741779819241<228>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:02:13 UTC 2020 年 8 月 26 日 (水) 0 時 2 分 13 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasOctober 22, 2020 02:54:27 UTC 2020 年 10 月 22 日 (木) 11 時 54 分 27 秒 (日本時間)

## 10257+8

### c244

composite cofactor 合成数の残り `9046237449691060533316893891732373380068592426344664767665015516403360367720947722567223576620807909135524787490729783111658346273441318205693986419267817126128719860452464995424755722380421141227802340254536129656601372679297879424177510732861<244>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:02:35 UTC 2020 年 8 月 26 日 (水) 0 時 2 分 35 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasOctober 25, 2020 07:45:53 UTC 2020 年 10 月 25 日 (日) 16 時 45 分 53 秒 (日本時間)

## 10259+8

### c254

composite cofactor 合成数の残り `86427435525133098250708704971306091405655811380764709949526377653322270621586116296757242619097006153633409389476595450459793956993708082693770310447348406278088916545668256931480329115674479706838138698748530733596072737329737952015487796446103851206527<254>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 27, 2020 02:52:01 UTC 2020 年 8 月 27 日 (木) 11 時 52 分 1 秒 (日本時間)
403e60--
4511e661002100Eric JeancolasOctober 25, 2020 07:46:21 UTC 2020 年 10 月 25 日 (日) 16 時 46 分 21 秒 (日本時間)
4000ebinaSeptember 8, 2021 22:18:40 UTC 2021 年 9 月 9 日 (木) 7 時 18 分 40 秒 (日本時間)

## 10260+8

### c247

composite cofactor 合成数の残り `2190521540613278030408701062547764206237814775089189186984263252551117293972094650875962247209901838801667567449520012681350353538916524341964100936174973171635110230730311179043612233585298738076514371550023702079713854145969695791360008823343491<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:02:48 UTC 2020 年 8 月 26 日 (水) 0 時 2 分 48 秒 (日本時間)
403e63600ebinaOctober 14, 2021 23:22:25 UTC 2021 年 10 月 15 日 (金) 8 時 22 分 25 秒 (日本時間)

## 10262+8

### c249

name 名前 Marlon Trifunovic February 28, 2022 23:23:30 UTC 2022 年 3 月 1 日 (火) 8 時 23 分 30 秒 (日本時間) `969138333321645947577787611443178358654727191553721696864250967091810299483627753150851357492034439733171264517167011545927628658906480156153016465875476037470054214028996816455780948369488589816490790037171614395469499870547847589596469850264348971<249>` `619991454313266506937431938932521<33>` `1563147889506173851882754671868841003311049627495050562346509045214512917854011941982285108534036750398731509827065105070826738268909288470792373006305093456495663890099189559228277519904767538233942308090476851942451<217>` ```Run 351 out of 587: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:302448204 Step 1 took 24857ms Step 2 took 9760ms ********** Factor found in step 2: 619991454313266506937431938932521 Found prime factor of 33 digits: 619991454313266506937431938932521 Composite cofactor 1563147889506173851882754671868841003311049627495050562346509045214512917854011941982285108534036750398731509827065105070826738268909288470792373006305093456495663890099189559228277519904767538233942308090476851942451 has 217 digits``` `GMP-ECM 7.0.5-dev` `Intel Xeon CPU E5-2695 v4 @ 2.10GHz`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:03:00 UTC 2020 年 8 月 26 日 (水) 0 時 3 分 0 秒 (日本時間)
403e62379587Marlon TrifunovicFebruary 24, 2022 04:59:51 UTC 2022 年 2 月 24 日 (木) 13 時 59 分 51 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:50:50 UTC 2023 年 8 月 18 日 (金) 8 時 50 分 50 秒 (日本時間)

## 10265+8

### c255

composite cofactor 合成数の残り `788009085381639863763769547040532370061949498153167377270880405804657236703153132682806869222964735445457536032123617781710460047792171053709616850332892893621666412432871468158960700289225244073789178320023976506582072517063102721711703601777775478052063<255>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:03:30 UTC 2020 年 8 月 26 日 (水) 0 時 3 分 30 秒 (日本時間)
403e62379587Marlon TrifunovicMarch 6, 2022 12:28:57 UTC 2022 年 3 月 6 日 (日) 21 時 28 分 57 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:51:02 UTC 2023 年 8 月 18 日 (金) 8 時 51 分 2 秒 (日本時間)

## 10266+8

### c212

composite cofactor 合成数の残り `41426578810242079372168881295296468750618864042058287048822965979825891719325938702888401497694729615765358567870116692280834904311537828534677446084607018992324297126386423783572889011008477669481977236434581369<212>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:03:45 UTC 2020 年 8 月 26 日 (水) 0 時 3 分 45 秒 (日本時間)
403e62400ebinaOctober 15, 2021 10:32:37 UTC 2021 年 10 月 15 日 (金) 19 時 32 分 37 秒 (日本時間)

## 10268+8

### c200

composite cofactor 合成数の残り `33202738246137989689239205979701104341770720188763811797749849555999906583175964210492760852461200508577051741154117567878139768169023974067348039132919740659219585366196642413593683857046472037205339<200>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:03:59 UTC 2020 年 8 月 26 日 (水) 0 時 3 分 59 秒 (日本時間)
403e62379587Marlon TrifunovicFebruary 19, 2022 22:05:45 UTC 2022 年 2 月 20 日 (日) 7 時 5 分 45 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:51:29 UTC 2023 年 8 月 18 日 (金) 8 時 51 分 29 秒 (日本時間)

## 10269+8

### c190

composite cofactor 合成数の残り `6347356954064804307384597716910617306904282213591085304938686967749118530088355829119043561781977634057971743482118679728022452071855791345627236316667156359025345690005270187997863025709143<190>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e6121212Eric JeancolasAugust 25, 2020 15:04:09 UTC 2020 年 8 月 26 日 (水) 0 時 4 分 9 秒 (日本時間)
1200Eric JeancolasAugust 27, 2020 02:52:31 UTC 2020 年 8 月 27 日 (木) 11 時 52 分 31 秒 (日本時間)
403e62020586Marlon TrifunovicFebruary 20, 2022 02:12:08 UTC 2022 年 2 月 20 日 (日) 11 時 12 分 8 秒 (日本時間)
1434ebinaJuly 13, 2022 02:22:41 UTC 2022 年 7 月 13 日 (水) 11 時 22 分 41 秒 (日本時間)

## 10271+8

### c201

composite cofactor 合成数の残り `692147704236485451436263996669822685087639861044668274301076472222674497437242902011935558064460703264654608848762640599339009197380930114599093520671499886304748971423242162219267653073603984313592361<201>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:04:24 UTC 2020 年 8 月 26 日 (水) 0 時 4 分 24 秒 (日本時間)
403e62400ebinaOctober 15, 2021 01:08:40 UTC 2021 年 10 月 15 日 (金) 10 時 8 分 40 秒 (日本時間)

## 10272+8

### c227

name 名前 Eric Jeancolas August 25, 2020 14:48:15 UTC 2020 年 8 月 25 日 (火) 23 時 48 分 15 秒 (日本時間) `20423393695336301848634639886811260832418827833937202483198751104926240246557980257371662660033659202360168457529177623846040960614580225697272227434259199325112631845688883069341859201483771907346384649634100785052167925392739<227>` ```9169224443749773513204206707504963<34> 2227385077181523575238502409091420933715304739062809794970047831785149560286845228057876850819172339868157311775457458408879850536429952033111233703580109572865703113698443816938436992941401953<193>``` ```GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM] Input number is 20423393695336301848634639886811260832418827833937202483198751104926240246557980257371662660033659202360168457529177623846040960614580225697272227434259199325112631845688883069341859201483771907346384649634100785052167925392739 (227 digits) Run 246 out of 1200: Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3999716353 Step 1 took 3282ms Step 2 took 1741ms ********** Factor found in step 2: 9169224443749773513204206707504963 Found prime factor of 34 digits: 9169224443749773513204206707504963 Prime cofactor 2227385077181523575238502409091420933715304739062809794970047831785149560286845228057876850819172339868157311775457458408879850536429952033111233703580109572865703113698443816938436992941401953 has 193 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 18.04 LTS [4.15.0-109-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e6246 / 902Eric JeancolasAugust 25, 2020 14:45:41 UTC 2020 年 8 月 25 日 (火) 23 時 45 分 41 秒 (日本時間)

## 10274+8

### c254

name 名前 Dmitry Domanov August 18, 2023 19:56:12 UTC 2023 年 8 月 19 日 (土) 4 時 56 分 12 秒 (日本時間) `29831960385933967235471208104764330646763455520933246689775313557715865611632055804120765627263511020774878671298895754811760288544099297806877532104513397401116729946200918479116186387598803821515259388218844245197885301348890308526129516025906036748033<254>` `121799599244421579225923639683799487139<39>` `244926589011747268189291697258618647674289784700056845481639554232933511752563301923602366113849050510969568235722854633849726006197020821751163414879196139285522199913031194656964363319626607198057650441262583297547<216>` ```Resuming ECM residue saved by @447ca5b96bb7 with GMP-ECM 7.0.5-dev on Fri Aug 18 00:09:39 2023 Input number is 29831960385933967235471208104764330646763455520933246689775313557715865611632055804120765627263511020774878671298895754811760288544099297806877532104513397401116729946200918479116186387598803821515259388218844245197885301348890308526129516025906036748033 (254 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3268557657 Step 1 took 0ms Step 2 took 6722ms ********** Factor found in step 2: 121799599244421579225923639683799487139 Found prime factor of 39 digits: 121799599244421579225923639683799487139 Composite cofactor 244926589011747268189291697258618647674289784700056845481639554232933511752563301923602366113849050510969568235722854633849726006197020821751163414879196139285522199913031194656964363319626607198057650441262583297547 has 216 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:04:40 UTC 2020 年 8 月 26 日 (水) 0 時 4 分 40 秒 (日本時間)
403e62379587Marlon TrifunovicMarch 4, 2022 16:00:14 UTC 2022 年 3 月 5 日 (土) 1 時 0 分 14 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:52:09 UTC 2023 年 8 月 18 日 (金) 8 時 52 分 9 秒 (日本時間)

## 10275+8

### c266

composite cofactor 合成数の残り `61054604586129811281731378466489347488096098267395850112665038716458718835159420386268256749343539670397840546502598584100737206021040989506994471671623250419861525909989208818435978065923274593089010487193129971777191546117646860001005300697273379020640476185277827<266>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:04:56 UTC 2020 年 8 月 26 日 (水) 0 時 4 分 56 秒 (日本時間)
403e62379587Marlon TrifunovicMarch 6, 2022 04:45:22 UTC 2022 年 3 月 6 日 (日) 13 時 45 分 22 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:52:17 UTC 2023 年 8 月 18 日 (金) 8 時 52 分 17 秒 (日本時間)

## 10277+8

### c222

composite cofactor 合成数の残り `160184772855333897846512781468175368579876005458792246382756006909248533826679377490652655896567200008640321483358413502111019886647369039045284447851443733692839595016814907360607097006845761987375129262644262429288725423<222>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:05:14 UTC 2020 年 8 月 26 日 (水) 0 時 5 分 14 秒 (日本時間)
403e62379587Marlon TrifunovicFebruary 22, 2022 08:19:17 UTC 2022 年 2 月 22 日 (火) 17 時 19 分 17 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:52:26 UTC 2023 年 8 月 18 日 (金) 8 時 52 分 26 秒 (日本時間)

## 10280+8

### c250

composite cofactor 合成数の残り `1335772476772441895791754028277381956327070545769991296896772422859204957627425596866148891297384601788140185845174142411745156763527873939145545762707016885997064226717400217629339746788012393883482804873507120119965814802850027632942733847450099153<250>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:05:35 UTC 2020 年 8 月 26 日 (水) 0 時 5 分 35 秒 (日本時間)
403e62379587Marlon TrifunovicMarch 1, 2022 19:00:54 UTC 2022 年 3 月 2 日 (水) 4 時 0 分 54 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:52:34 UTC 2023 年 8 月 18 日 (金) 8 時 52 分 34 秒 (日本時間)

## 10281+8

### c251

composite cofactor 合成数の残り `56245131029453796965454729559168705336008811905771741782974079127542548711011075461036214876483471886993205348693861210116331902711837838267957674270496626359589254847877529014704151894902120740849304865188844007616798894078776464018953682666023638767<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:05:48 UTC 2020 年 8 月 26 日 (水) 0 時 5 分 48 秒 (日本時間)
403e62379587Marlon TrifunovicMarch 5, 2022 21:03:51 UTC 2022 年 3 月 6 日 (日) 6 時 3 分 51 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:52:43 UTC 2023 年 8 月 18 日 (金) 8 時 52 分 43 秒 (日本時間)

## 10284+8

### c279

composite cofactor 合成数の残り `942898091574262653692388926604812551859395036584445953081390963264690352266727012144527419476502979557969374669985667949008071207663875688315606849211737195443916421513162857358376706645545749415403183223957154710718865505016217847175077317643509089537602775891981594629252470393<279>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:06:00 UTC 2020 年 8 月 26 日 (水) 0 時 6 分 0 秒 (日本時間)
403e62379587Marlon TrifunovicMarch 9, 2022 09:43:17 UTC 2022 年 3 月 9 日 (水) 18 時 43 分 17 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:52:51 UTC 2023 年 8 月 18 日 (金) 8 時 52 分 51 秒 (日本時間)

## 10287+8

### c243

name 名前 Dmitry Domanov August 18, 2023 14:17:51 UTC 2023 年 8 月 18 日 (金) 23 時 17 分 51 秒 (日本時間) `507894218602483766342105799688816339744920812269519647530312478272702170613639208601487795160916583527803691417739493032732074219151633038788818801439093515121727845903283259504957131489268879915094127450961573611023406007315953825462713812083<243>` `1832427976812456890022617251340674461366633827<46>` `277170085279954829094057716143318572133960058192077160810898735459283153477823775504434886999716199659148789430214386022631919223758856662515354931384160871833153561303503579306745963705232958929329<198>` ```Resuming ECM residue saved by @447ca5b96bb7 with GMP-ECM 7.0.5-dev on Fri Aug 18 00:34:53 2023 Input number is 507894218602483766342105799688816339744920812269519647530312478272702170613639208601487795160916583527803691417739493032732074219151633038788818801439093515121727845903283259504957131489268879915094127450961573611023406007315953825462713812083 (243 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:525410087 Step 1 took 0ms Step 2 took 6166ms ********** Factor found in step 2: 1832427976812456890022617251340674461366633827 Found prime factor of 46 digits: 1832427976812456890022617251340674461366633827 Composite cofactor 277170085279954829094057716143318572133960058192077160810898735459283153477823775504434886999716199659148789430214386022631919223758856662515354931384160871833153561303503579306745963705232958929329 has 198 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:06:17 UTC 2020 年 8 月 26 日 (水) 0 時 6 分 17 秒 (日本時間)
403e62379587Marlon TrifunovicFebruary 22, 2022 18:07:18 UTC 2022 年 2 月 23 日 (水) 3 時 7 分 18 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:53:00 UTC 2023 年 8 月 18 日 (金) 8 時 53 分 0 秒 (日本時間)

## 10288+8

### c183

name 名前 Eric Jeancolas September 2, 2020 00:47:41 UTC 2020 年 9 月 2 日 (水) 9 時 47 分 41 秒 (日本時間) `722803187813015522207131922762095584424526899075820663728251976037663412175924432534228438923298320139760993098504581209003922303063518333739505356692979275882409046010265326044851979<183>` ```8808578216897044040232890658133277707418997071041<49> 82056737195850656126436731117513069529371544723290463701660223147699705835817879122926065473789385540322795111776095865214652374934219<134>``` ```722803187813015522207131922762095584424526899075820663728251976037663412175924432534228438923298320139760993098504581209003922303063518333739505356692979275882409046010265326044851979 cado polynomial n: 722803187813015522207131922762095584424526899075820663728251976037663412175924432534228438923298320139760993098504581209003922303063518333739505356692979275882409046010265326044851979 skew: 1.26 type: snfs c0: 4 ##### c3: 1 c3: -2 c6: 1 Y0: 100000000000000000000000000000000 Y1: -1 ##### # f(x) = x^6+x^3+4 # f(x) = x^6-2*x^3+4 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 11100000 tasks.lim1 = 11100000 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.sqrt.threads = 2 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 82056737195850656126436731117513069529371544723290463701660223147699705835817879122926065473789385540322795111776095865214652374934219 8808578216897044040232890658133277707418997071041 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 21.15/7.91931 Info:Generate Free Relations: Total cpu/real time for freerel: 456.17/156.636 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 24841320 Info:Lattice Sieving: Average J: 1893.01 for 2181928 special-q, max bucket fill -bkmult 1.0,1s:1.195510 Info:Lattice Sieving: Total time: 714259s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.26/364.555 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 361.79999999999995s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 918.29/1131.14 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 984.5000000000001s Info:Filtering - Singleton removal: Total cpu/real time for purge: 721.84/1047.89 Info:Filtering - Merging: Total cpu/real time for merge: 1731.37/1725.04 Info:Filtering - Merging: Total cpu/real time for replay: 179.34/204.349 Info:Linear Algebra: Total cpu/real time for bwc: 177436/60582.3 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 46839.48, iteration CPU time 0.64, COMM 0.02, cpu-wait 0.11, comm-wait 0.0 (61184 iterations) Info:Linear Algebra: Lingen CPU time 1218.67, WCT time 284.2 Info:Linear Algebra: Mksol: WCT time 12957.28, iteration CPU time 0.35, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (30720 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 88.38/23.6637 Info:Square Root: Total cpu/real time for sqrt: 449.38/203.348 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.29648e+06/297586 Info:root: Cleaning up computation data in /tmp/cado.a5im6otv 82056737195850656126436731117513069529371544723290463701660223147699705835817879122926065473789385540322795111776095865214652374934219 8808578216897044040232890658133277707418997071041``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:06:31 UTC 2020 年 8 月 26 日 (水) 0 時 6 分 31 秒 (日本時間)

## 10290+8

### c276

name 名前 Dmitry Domanov August 18, 2023 16:02:32 UTC 2023 年 8 月 19 日 (土) 1 時 2 分 32 秒 (日本時間) `564882464226366301172469962141777779468012941314700241280685642025217146959725488798822335799220221985847290548109463548295839769191030487814834537309751176025184076414490405005618254916249316587538417222464577979982259011565494078445757372856907594872270985206003326727599499<276>` `73816392541485661341219709241952457634977163<44>` `7652534142858523752968830054589376012907990204582473177545321846299222669527134278209069337010882865394752849304110509461783497394981995720657839768181496610946398062088897747933780603997261567418197263896142527032537141896507318273<232>` ```Resuming ECM residue saved by @447ca5b96bb7 with GMP-ECM 7.0.5-dev on Fri Aug 18 00:39:19 2023 Input number is 564882464226366301172469962141777779468012941314700241280685642025217146959725488798822335799220221985847290548109463548295839769191030487814834537309751176025184076414490405005618254916249316587538417222464577979982259011565494078445757372856907594872270985206003326727599499 (276 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1384095488 Step 1 took 0ms Step 2 took 7066ms ********** Factor found in step 2: 73816392541485661341219709241952457634977163 Found prime factor of 44 digits: 73816392541485661341219709241952457634977163 Composite cofactor 7652534142858523752968830054589376012907990204582473177545321846299222669527134278209069337010882865394752849304110509461783497394981995720657839768181496610946398062088897747933780603997261567418197263896142527032537141896507318273 has 232 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:06:48 UTC 2020 年 8 月 26 日 (水) 0 時 6 分 48 秒 (日本時間)
403e62379587Marlon TrifunovicMarch 8, 2022 17:56:35 UTC 2022 年 3 月 9 日 (水) 2 時 56 分 35 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:53:08 UTC 2023 年 8 月 18 日 (金) 8 時 53 分 8 秒 (日本時間)

## 10291+8

### c185

name 名前 Eric Jeancolas September 4, 2020 04:02:02 UTC 2020 年 9 月 4 日 (金) 13 時 2 分 2 秒 (日本時間) `18021498290802536093945159423000037681511206204838769551812740739238789025411277821480031276295862884869090852441803699995111632545623230479445187616192393778814722294525074081531690449<185>` ```8017590425557079736625070380869318601<37> 160794061419700540280678557442674097161740283735355559795738479341<66> 13979029559641444396437286363632313812116914058402644180941186753374710943718019789<83>``` ```18021498290802536093945159423000037681511206204838769551812740739238789025411277821480031276295862884869090852441803699995111632545623230479445187616192393778814722294525074081531690449=8017590425557079736625070380869318601*160794061419700540280678557442674097161740283735355559795738479341*13979029559641444396437286363632313812116914058402644180941186753374710943718019789 cado polynomial n: 18021498290802536093945159423000037681511206204838769551812740739238789025411277821480031276295862884869090852441803699995111632545623230479445187616192393778814722294525074081531690449 skew: 0.58 type: snfs c0: 1 c3: -5 c6: 25 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 25*x^6+5*x^3+1 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 11700000 tasks.lim1 = 11700000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.sqrt.threads = 2 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log lost``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:07:00 UTC 2020 年 8 月 26 日 (水) 0 時 7 分 0 秒 (日本時間)

## 10293+8

### c287

name 名前 Dmitry Domanov August 18, 2023 20:35:02 UTC 2023 年 8 月 19 日 (土) 5 時 35 分 2 秒 (日本時間) `22979250655827813717325803492478431675334440014044918000841959744029531094602817439964409736584253882114605795550849405021242019306247231000295972748447062240679156348983122199978307587380898543850844441503100360498484288626741597407205190001636122646694940336673597208664464335283812129<287>` `110227957323577224519081803554976731791029<42>` `208470257580584446236468074875092804892851333358812538363211864044583983649047460423993717438450335305167792188417770802582278640158143276222191151707981367902488713703276119945932415146670781938921989267865430860014262852903522258057967411555901<246>` ```Resuming ECM residue saved by @447ca5b96bb7 with GMP-ECM 7.0.5-dev on Fri Aug 18 00:43:45 2023 Input number is 22979250655827813717325803492478431675334440014044918000841959744029531094602817439964409736584253882114605795550849405021242019306247231000295972748447062240679156348983122199978307587380898543850844441503100360498484288626741597407205190001636122646694940336673597208664464335283812129 (287 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2707323940 Step 1 took 0ms Step 2 took 7379ms ********** Factor found in step 2: 110227957323577224519081803554976731791029 Found prime factor of 42 digits: 110227957323577224519081803554976731791029 Composite cofactor 208470257580584446236468074875092804892851333358812538363211864044583983649047460423993717438450335305167792188417770802582278640158143276222191151707981367902488713703276119945932415146670781938921989267865430860014262852903522258057967411555901 has 246 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:07:18 UTC 2020 年 8 月 26 日 (水) 0 時 7 分 18 秒 (日本時間)
403e627921000Dmitry DomanovSeptember 24, 2021 20:48:40 UTC 2021 年 9 月 25 日 (土) 5 時 48 分 40 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:53:16 UTC 2023 年 8 月 18 日 (金) 8 時 53 分 16 秒 (日本時間)

## 10295+8

### c270

name 名前 Dmitry Domanov August 18, 2023 01:06:21 UTC 2023 年 8 月 18 日 (金) 10 時 6 分 21 秒 (日本時間) `156705191900744942088095820505250917765069125617933097270002054731013711079410557420279113425708434783733016195819579314814950262110289814993295731497362582220864219036261255719620387023570964007485876261955037160882850807855674219430332725772045840491112699597906661287<270>` `16457370962555454251802366381176908201<38>` `9521884890198294519106220609984927879089253525662861383086776568667614351533812254510409318797303698049827266258016543385734672733638004876632590430111798700534207923311373316176827940383523163472733449080144844976869243607055687887<232>` ```GPU: factor 16457370962555454251802366381176908201 found in Step 1 with curve 1567 (-sigma 3:-1199869772) Computing 1792 Step 1 took 302ms of CPU time / 265798ms of GPU time Throughput: 6.742 curves per second (on average 148.32ms per Step 1) ********** Factor found in step 1: 16457370962555454251802366381176908201 Found prime factor of 38 digits: 16457370962555454251802366381176908201 Composite cofactor 9521884890198294519106220609984927879089253525662861383086776568667614351533812254510409318797303698049827266258016543385734672733638004876632590430111798700534207923311373316176827940383523163472733449080144844976869243607055687887 has 232 digits Peak memory usage: 9426MB```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 27, 2020 02:51:04 UTC 2020 年 8 月 27 日 (木) 11 時 51 分 4 秒 (日本時間)
403e62379587Marlon TrifunovicMarch 6, 2022 10:16:29 UTC 2022 年 3 月 6 日 (日) 19 時 16 分 29 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:53:25 UTC 2023 年 8 月 18 日 (金) 8 時 53 分 25 秒 (日本時間)

## 10296+8

### c276

composite cofactor 合成数の残り `115301704566603836296358116009348171995002760587342139313911189356550004962681597087067861091693818324833275546207885406290338917808681075856643485310140885013058284956895063499543815693510696947578026664542861014423644567586802459630557673980782485672357831480669247724656817<276>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:07:30 UTC 2020 年 8 月 26 日 (水) 0 時 7 分 30 秒 (日本時間)
403e62379587Marlon TrifunovicMarch 8, 2022 13:23:32 UTC 2022 年 3 月 8 日 (火) 22 時 23 分 32 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:53:32 UTC 2023 年 8 月 18 日 (金) 8 時 53 分 32 秒 (日本時間)

## 10298+8

### c274

composite cofactor 合成数の残り `6940271175467877529830246969355609166145069223196339999154718231227208608992979642260663598670729766162006868690513638899080023287878058072732906571484407620222254673313485767728061206471062750117482210765799264972738476062366324750001352150804902351785070701056132503204251<274>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:07:45 UTC 2020 年 8 月 26 日 (水) 0 時 7 分 45 秒 (日本時間)
403e62379587Marlon TrifunovicMarch 8, 2022 17:04:31 UTC 2022 年 3 月 9 日 (水) 2 時 4 分 31 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:53:40 UTC 2023 年 8 月 18 日 (金) 8 時 53 分 40 秒 (日本時間)

## 10299+8

### c271

composite cofactor 合成数の残り `2409181615333904862186132290606138565217121780616206324683658355431612226489388119636026348167141732481633752390639461435148814781318719189688565412535339594889338628530605252593661794567562421371145074129067906727510473953364090628082137399032829162471073133524294617661<271>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaAugust 25, 2020 12:00:00 UTC 2020 年 8 月 25 日 (火) 21 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasAugust 25, 2020 15:07:57 UTC 2020 年 8 月 26 日 (水) 0 時 7 分 57 秒 (日本時間)
403e62379587Marlon TrifunovicMarch 8, 2022 16:10:18 UTC 2022 年 3 月 9 日 (水) 1 時 10 分 18 秒 (日本時間)
1792Dmitry DomanovAugust 17, 2023 23:53:48 UTC 2023 年 8 月 18 日 (金) 8 時 53 分 48 秒 (日本時間)