## 67×10110-319

### c91

name 名前 Jo Yeong Uk November 3, 2009 13:51:23 UTC 2009 年 11 月 3 日 (火) 22 時 51 分 23 秒 (日本時間) `4386800257339265571199285250527432245987346642377889940905440634181278349895045122702690759<91>` ```275211394124960265212782044900640703<36> 15939747957337225794603273784899858020247830193184194553<56>``` ```GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM] Input number is 4386800257339265571199285250527432245987346642377889940905440634181278349895045122702690759 (91 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3447484428 Step 1 took 2948ms Step 2 took 3432ms ********** Factor found in step 2: 275211394124960265212782044900640703 Found probable prime factor of 36 digits: 275211394124960265212782044900640703 Probable prime cofactor 15939747957337225794603273784899858020247830193184194553 has 56 digits``` `Core 2 Quad Q6600`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10114-319

### c112

name 名前 Jo Yeong Uk November 3, 2009 15:20:13 UTC 2009 年 11 月 4 日 (水) 0 時 20 分 13 秒 (日本時間) `3416449951557799194329712916220488501351282443526592218652796899699148437101626638111264086482076385701901993779<112>` ```13079519603592591828724136575259833<35> 261206072937066617575379951763202353709110249235984400041972053868280867577163<78>``` ```GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM] Input number is 3416449951557799194329712916220488501351282443526592218652796899699148437101626638111264086482076385701901993779 (112 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2024510530 Step 1 took 3463ms Step 2 took 3791ms ********** Factor found in step 2: 13079519603592591828724136575259833 Found probable prime factor of 35 digits: 13079519603592591828724136575259833 Probable prime cofactor 261206072937066617575379951763202353709110249235984400041972053868280867577163 has 78 digits``` `Core 2 Quad Q6600`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10115-319

### c92

name 名前 Robert Backstrom November 3, 2009 21:31:12 UTC 2009 年 11 月 4 日 (水) 6 時 31 分 12 秒 (日本時間) `96074614955509853374734392658394094992047014932306016222428043900796653215149734058090779771<92>` ```13606100517264678251735534718702197189<38> 7061142524531661338165749232263043327688308648736184639<55>``` ```Wed Nov 04 03:16:06 2009 Wed Nov 04 03:16:06 2009 Wed Nov 04 03:16:06 2009 Msieve v. 1.43 Wed Nov 04 03:16:06 2009 random seeds: 60f2ff78 55277435 Wed Nov 04 03:16:06 2009 factoring 96074614955509853374734392658394094992047014932306016222428043900796653215149734058090779771 (92 digits) Wed Nov 04 03:16:07 2009 searching for 15-digit factors Wed Nov 04 03:16:07 2009 commencing quadratic sieve (92-digit input) Wed Nov 04 03:16:08 2009 using multiplier of 29 Wed Nov 04 03:16:08 2009 using 64kb Opteron sieve core Wed Nov 04 03:16:08 2009 sieve interval: 18 blocks of size 65536 Wed Nov 04 03:16:08 2009 processing polynomials in batches of 6 Wed Nov 04 03:16:08 2009 using a sieve bound of 1847539 (69412 primes) Wed Nov 04 03:16:08 2009 using large prime bound of 208771907 (27 bits) Wed Nov 04 03:16:08 2009 using double large prime bound of 944951756339680 (42-50 bits) Wed Nov 04 03:16:08 2009 using trial factoring cutoff of 50 bits Wed Nov 04 03:16:08 2009 polynomial 'A' values have 12 factors Wed Nov 04 03:16:08 2009 restarting with 2240 full and 114056 partial relations Wed Nov 04 04:40:28 2009 69576 relations (17880 full + 51696 combined from 889191 partial), need 69508 Wed Nov 04 04:40:29 2009 begin with 907071 relations Wed Nov 04 04:40:29 2009 reduce to 175853 relations in 12 passes Wed Nov 04 04:40:29 2009 attempting to read 175853 relations Wed Nov 04 04:40:31 2009 recovered 175853 relations Wed Nov 04 04:40:31 2009 recovered 157201 polynomials Wed Nov 04 04:40:31 2009 attempting to build 69576 cycles Wed Nov 04 04:40:31 2009 found 69576 cycles in 5 passes Wed Nov 04 04:40:31 2009 distribution of cycle lengths: Wed Nov 04 04:40:31 2009 length 1 : 17880 Wed Nov 04 04:40:31 2009 length 2 : 12677 Wed Nov 04 04:40:31 2009 length 3 : 12033 Wed Nov 04 04:40:31 2009 length 4 : 9369 Wed Nov 04 04:40:31 2009 length 5 : 6758 Wed Nov 04 04:40:31 2009 length 6 : 4430 Wed Nov 04 04:40:31 2009 length 7 : 2778 Wed Nov 04 04:40:31 2009 length 9+: 3651 Wed Nov 04 04:40:31 2009 largest cycle: 19 relations Wed Nov 04 04:40:32 2009 matrix is 69412 x 69576 (17.7 MB) with weight 4370660 (62.82/col) Wed Nov 04 04:40:32 2009 sparse part has weight 4370660 (62.82/col) Wed Nov 04 04:40:33 2009 filtering completed in 3 passes Wed Nov 04 04:40:33 2009 matrix is 65447 x 65511 (16.8 MB) with weight 4148934 (63.33/col) Wed Nov 04 04:40:33 2009 sparse part has weight 4148934 (63.33/col) Wed Nov 04 04:40:33 2009 saving the first 48 matrix rows for later Wed Nov 04 04:40:33 2009 matrix is 65399 x 65511 (10.2 MB) with weight 3230916 (49.32/col) Wed Nov 04 04:40:33 2009 sparse part has weight 2284762 (34.88/col) Wed Nov 04 04:40:33 2009 matrix includes 64 packed rows Wed Nov 04 04:40:33 2009 using block size 26204 for processor cache size 1024 kB Wed Nov 04 04:40:33 2009 commencing Lanczos iteration Wed Nov 04 04:40:33 2009 memory use: 10.5 MB Wed Nov 04 04:40:42 2009 linear algebra at 36.8%, ETA 0h 0m Wed Nov 04 04:40:58 2009 lanczos halted after 1036 iterations (dim = 65397) Wed Nov 04 04:40:58 2009 recovered 17 nontrivial dependencies Wed Nov 04 04:40:59 2009 prp38 factor: 13606100517264678251735534718702197189 Wed Nov 04 04:40:59 2009 prp55 factor: 7061142524531661338165749232263043327688308648736184639 Wed Nov 04 04:40:59 2009 elapsed time 01:24:53```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10118-319

### c99

name 名前 Erik Branger November 3, 2009 19:57:45 UTC 2009 年 11 月 4 日 (水) 4 時 57 分 45 秒 (日本時間) `305726550475843054138201474310211542232754706418797583515046928519829271317105437137867816611297989<99>` ```479267594069721891682480549097268372227422319287<48> 637903656034309727455345127696823887454307086504547<51>``` ```Number: 74441_118 N=305726550475843054138201474310211542232754706418797583515046928519829271317105437137867816611297989 ( 99 digits) SNFS difficulty: 121 digits. Divisors found: r1=479267594069721891682480549097268372227422319287 (pp48) r2=637903656034309727455345127696823887454307086504547 (pp51) Version: Msieve-1.40 Total time: 1.99 hours. Scaled time: 2.01 units (timescale=1.010). Factorization parameters were as follows: n: 305726550475843054138201474310211542232754706418797583515046928519829271317105437137867816611297989 m: 500000000000000000000000 deg: 5 c5: 536 c0: -775 skew: 1.08 type: snfs lss: 1 rlim: 730000 alim: 730000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.2 alambda: 2.2 Factor base limits: 730000/730000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [365000, 715001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 95723 x 95968 Total sieving time: 1.93 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.03 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,121.000,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000 total time: 1.99 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10120-319

### c100

name 名前 Serge Batalov November 5, 2009 07:20:29 UTC 2009 年 11 月 5 日 (木) 16 時 20 分 29 秒 (日本時間) `9823634061308601992262375977557460526603204910482843794627402711296077541420800355402220532262483291<100>` ```248173394390078679300038958119545859112216157363<48> 39583751858057050006460477944893403895270269829507257<53>``` ```SNFS difficulty: 121 digits. Divisors found: r1=248173394390078679300038958119545859112216157363 (pp48) r2=39583751858057050006460477944893403895270269829507257 (pp53) Version: Msieve v. 1.44 SVN130 Total time: 0.86 hours. Scaled time: 2.06 units (timescale=2.400). Factorization parameters were as follows: n: 9823634061308601992262375977557460526603204910482843794627402711296077541420800355402220532262483291 m: 1000000000000000000000000 deg: 5 c5: 67 c0: -31 skew: 0.86 type: snfs lss: 1 rlim: 750000 alim: 750000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.2 alambda: 2.2 Factor base limits: 750000/750000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [375000, 675001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 80715 x 80940 Total sieving time: 0.79 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.04 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,121.000,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000 total time: 0.86 hours.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10131-319

### c109

name 名前 Sinkiti Sibata November 6, 2009 03:33:56 UTC 2009 年 11 月 6 日 (金) 12 時 33 分 56 秒 (日本時間) `1725234575026937588591813062917426515403728981243743236270453675510075150479189227318557947230693458787418479<109>` ```323849544307374500128746883591241254838333<42> 5327271893239009943943442287524260619878365564348217121263894689563<67>``` ```Number: 74441_131 N=1725234575026937588591813062917426515403728981243743236270453675510075150479189227318557947230693458787418479 ( 109 digits) SNFS difficulty: 134 digits. Divisors found: r1=323849544307374500128746883591241254838333 (pp42) r2=5327271893239009943943442287524260619878365564348217121263894689563 (pp67) Version: Msieve-1.40 Total time: 4.53 hours. Scaled time: 9.44 units (timescale=2.085). Factorization parameters were as follows: name: 74441_131 n: 1725234575026937588591813062917426515403728981243743236270453675510075150479189227318557947230693458787418479 m: 200000000000000000000000000 deg: 5 c5: 335 c0: -496 skew: 1.08 type: snfs lss: 1 rlim: 1200000 alim: 1200000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 Factor base limits: 1200000/1200000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [600000, 1200001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 166901 x 167149 Total sieving time: 4.35 hours. Total relation processing time: 0.05 hours. Matrix solve time: 0.09 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,134.000,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000 total time: 4.53 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10133-319

### c119

name 名前 Jo Yeong Uk November 3, 2009 14:13:56 UTC 2009 年 11 月 3 日 (火) 23 時 13 分 56 秒 (日本時間) `46765551638031908225910312923474405199786280869339065071698203645956926057134044970216126092746638328533578261081259419<119>` ```8625640909763231199919977502862827<34> 119417958244208526547468954975940805596503<42> 45400961013383699554747369470928758093181399<44>``` ```GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM] Input number is 46765551638031908225910312923474405199786280869339065071698203645956926057134044970216126092746638328533578261081259419 (119 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2597803104 Step 1 took 4212ms Step 2 took 4119ms ********** Factor found in step 2: 8625640909763231199919977502862827 Found probable prime factor of 34 digits: 8625640909763231199919977502862827 Composite cofactor 5421690066543193864230956289682168517981529320315248970797035445413782539943179047697 has 85 digits 11/03/09 22:52:19 v1.10 @ 조영욱-PC, starting SIQS on c85: 5421690066543193864230956289682168517981529320315248970797035445413782539943179047697 11/03/09 22:52:19 v1.10 @ 조영욱-PC, random seeds: 2623786136, 2605774612 11/03/09 22:52:19 v1.10 @ 조영욱-PC, ==== sieve params ==== 11/03/09 22:52:19 v1.10 @ 조영욱-PC, n = 85 digits, 282 bits 11/03/09 22:52:19 v1.10 @ 조영욱-PC, factor base: 55732 primes (max prime = 1463621) 11/03/09 22:52:19 v1.10 @ 조영욱-PC, single large prime cutoff: 160998310 (110 * pmax) 11/03/09 22:52:19 v1.10 @ 조영욱-PC, double large prime range from 42 to 50 bits 11/03/09 22:52:19 v1.10 @ 조영욱-PC, double large prime cutoff: 591940930810882 11/03/09 22:52:19 v1.10 @ 조영욱-PC, using 15 large prime slices of factor base 11/03/09 22:52:19 v1.10 @ 조영욱-PC, buckets hold 1024 elements 11/03/09 22:52:19 v1.10 @ 조영욱-PC, sieve interval: 9 blocks of size 65536 11/03/09 22:52:19 v1.10 @ 조영욱-PC, polynomial A has ~ 11 factors 11/03/09 22:52:19 v1.10 @ 조영욱-PC, using multiplier of 1 11/03/09 22:52:19 v1.10 @ 조영욱-PC, using small prime variation correction of 18 bits 11/03/09 22:52:19 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning 11/03/09 22:52:19 v1.10 @ 조영욱-PC, trial factoring cutoff at 94 bits 11/03/09 22:52:19 v1.10 @ 조영욱-PC, ==== sieving started ==== 11/03/09 23:12:08 v1.10 @ 조영욱-PC, sieve time = 528.9270, relation time = 286.5150, poly_time = 373.1850 11/03/09 23:12:08 v1.10 @ 조영욱-PC, 55814 relations found: 18396 full + 37418 from 517693 partial, using 211761 polys (207 A polys) 11/03/09 23:12:08 v1.10 @ 조영욱-PC, on average, sieving found 2.53 rels/poly and 450.81 rels/sec 11/03/09 23:12:08 v1.10 @ 조영욱-PC, trial division touched 10174530 sieve locations out of 249803440128 11/03/09 23:12:08 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ==== 11/03/09 23:12:08 v1.10 @ 조영욱-PC, begin with 536089 relations 11/03/09 23:12:08 v1.10 @ 조영욱-PC, reduce to 114934 relations in 9 passes 11/03/09 23:12:09 v1.10 @ 조영욱-PC, recovered 114934 relations 11/03/09 23:12:09 v1.10 @ 조영욱-PC, recovered 88632 polynomials 11/03/09 23:12:09 v1.10 @ 조영욱-PC, attempting to build 55814 cycles 11/03/09 23:12:09 v1.10 @ 조영욱-PC, found 55814 cycles in 4 passes 11/03/09 23:12:09 v1.10 @ 조영욱-PC, distribution of cycle lengths: 11/03/09 23:12:09 v1.10 @ 조영욱-PC, length 1 : 18396 11/03/09 23:12:09 v1.10 @ 조영욱-PC, length 2 : 15365 11/03/09 23:12:09 v1.10 @ 조영욱-PC, length 3 : 10307 11/03/09 23:12:09 v1.10 @ 조영욱-PC, length 4 : 5958 11/03/09 23:12:09 v1.10 @ 조영욱-PC, length 5 : 3118 11/03/09 23:12:09 v1.10 @ 조영욱-PC, length 6 : 1481 11/03/09 23:12:09 v1.10 @ 조영욱-PC, length 7 : 700 11/03/09 23:12:09 v1.10 @ 조영욱-PC, length 9+: 489 11/03/09 23:12:09 v1.10 @ 조영욱-PC, largest cycle: 15 relations 11/03/09 23:12:09 v1.10 @ 조영욱-PC, matrix is 55732 x 55814 (11.6 MB) with weight 2587778 (46.36/col) 11/03/09 23:12:09 v1.10 @ 조영욱-PC, sparse part has weight 2587778 (46.36/col) 11/03/09 23:12:10 v1.10 @ 조영욱-PC, filtering completed in 3 passes 11/03/09 23:12:10 v1.10 @ 조영욱-PC, matrix is 49309 x 49373 (10.4 MB) with weight 2337344 (47.34/col) 11/03/09 23:12:10 v1.10 @ 조영욱-PC, sparse part has weight 2337344 (47.34/col) 11/03/09 23:12:10 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later 11/03/09 23:12:10 v1.10 @ 조영욱-PC, matrix is 49261 x 49373 (7.0 MB) with weight 1814592 (36.75/col) 11/03/09 23:12:10 v1.10 @ 조영욱-PC, sparse part has weight 1344877 (27.24/col) 11/03/09 23:12:10 v1.10 @ 조영욱-PC, matrix includes 64 packed rows 11/03/09 23:12:10 v1.10 @ 조영욱-PC, using block size 19749 for processor cache size 4096 kB 11/03/09 23:12:10 v1.10 @ 조영욱-PC, commencing Lanczos iteration 11/03/09 23:12:10 v1.10 @ 조영욱-PC, memory use: 6.5 MB 11/03/09 23:12:19 v1.10 @ 조영욱-PC, lanczos halted after 781 iterations (dim = 49258) 11/03/09 23:12:19 v1.10 @ 조영욱-PC, recovered 15 nontrivial dependencies 11/03/09 23:12:19 v1.10 @ 조영욱-PC, prp44 = 45400961013383699554747369470928758093181399 11/03/09 23:12:20 v1.10 @ 조영욱-PC, prp42 = 119417958244208526547468954975940805596503 11/03/09 23:12:20 v1.10 @ 조영욱-PC, Lanczos elapsed time = 11.0290 seconds. 11/03/09 23:12:20 v1.10 @ 조영욱-PC, Sqrt elapsed time = 0.5610 seconds. 11/03/09 23:12:20 v1.10 @ 조영욱-PC, SIQS elapsed time = 1200.7470 seconds. 11/03/09 23:12:20 v1.10 @ 조영욱-PC, 11/03/09 23:12:20 v1.10 @ 조영욱-PC, ``` `GMP-ECM v6.2.3 / YAFU v1.10` `Core 2 Quad Q6600`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10136-319

### c99

name 名前 Sinkiti Sibata November 4, 2009 08:25:22 UTC 2009 年 11 月 4 日 (水) 17 時 25 分 22 秒 (日本時間) `889899836998668686633900800566801256698255608757109609947713814087374076702236000012655652911530303<99>` ```4810783287458379447319665714720974617182731<43> 184980237899848999666716380766074086221876478826386870813<57>``` ```Number: 74441_136 N=889899836998668686633900800566801256698255608757109609947713814087374076702236000012655652911530303 ( 99 digits) SNFS difficulty: 139 digits. Divisors found: r1=4810783287458379447319665714720974617182731 (pp43) r2=184980237899848999666716380766074086221876478826386870813 (pp57) Version: GGNFS-0.77.1-20060513-k8 Total time: 9.69 hours. Scaled time: 18.94 units (timescale=1.956). Factorization parameters were as follows: name: 74441_136 n: 889899836998668686633900800566801256698255608757109609947713814087374076702236000012655652911530303 m: 2000000000000000000000000000 deg: 5 c5: 335 c0: -496 skew: 1.08 type: snfs lss: 1 rlim: 1450000 alim: 1450000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1450000/1450000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [725000, 1550001) Primes: RFBsize:110630, AFBsize:110790, largePrimes:3539552 encountered Relations: rels:3573888, finalFF:316292 Max relations in full relation-set: 28 Initial matrix: 221487 x 316292 with sparse part having weight 29442668. Pruned matrix : 194165 x 195336 with weight 14866622. Total sieving time: 9.16 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.34 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,139,5,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,75000 total time: 9.69 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10138-319

### c123

name 名前 Dmitry Domanov November 4, 2009 16:46:30 UTC 2009 年 11 月 5 日 (木) 1 時 46 分 30 秒 (日本時間) `903750090252691191717440333954198932390180191786769441344692739715470950187355528108887414276522629304579395374002342803243<123>` ```2155169564333464472349918628266493657340772283669081<52> 419340596308113045083191970050775890985316605601219929324602580966516003<72>``` ```Number: 123-1 N=903750090252691191717440333954198932390180191786769441344692739715470950187355528108887414276522629304579395374002342803243 ( 123 digits) SNFS difficulty: 141 digits. Divisors found: r1=2155169564333464472349918628266493657340772283669081 (pp52) r2=419340596308113045083191970050775890985316605601219929324602580966516003 (pp72) Version: Msieve-1.40 Total time: 6.21 hours. Scaled time: 12.23 units (timescale=1.969). Factorization parameters were as follows: n: 903750090252691191717440333954198932390180191786769441344692739715470950187355528108887414276522629304579395374002342803243 m: 5000000000000000000000000000 deg: 5 c5: 536 c0: -775 skew: 1.08 type: snfs lss: 1 rlim: 1580000 alim: 1580000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3Factor base limits: 1580000/1580000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [790000, 1990001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 264792 x 265017 Total sieving time: 5.97 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.18 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,141.000,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000 total time: 6.21 hours. --------- CPU info (if available) ----------``` `GGNFS/msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10144-319

### c118

name 名前 Jo Yeong Uk November 4, 2009 23:02:43 UTC 2009 年 11 月 5 日 (木) 8 時 2 分 43 秒 (日本時間) `6850933569260401192979346688968304304118740526220941882187274314238921954387217432618656883866956371791087169104665217<118>` ```34655482245468834228541408388489501901665410519<47> 197686862953873716181311104410965221646157892429803380406605260036919143<72>``` ```Number: 74441_144 N=6850933569260401192979346688968304304118740526220941882187274314238921954387217432618656883866956371791087169104665217 ( 118 digits) SNFS difficulty: 146 digits. Divisors found: r1=34655482245468834228541408388489501901665410519 r2=197686862953873716181311104410965221646157892429803380406605260036919143 Version: Total time: 7.05 hours. Scaled time: 16.85 units (timescale=2.389). Factorization parameters were as follows: n: 6850933569260401192979346688968304304118740526220941882187274314238921954387217432618656883866956371791087169104665217 m: 100000000000000000000000000000 deg: 5 c5: 67 c0: -310 skew: 1.36 type: snfs lss: 1 rlim: 2550000 alim: 2550000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 2550000/2550000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [1275000, 2775001) Primes: rational ideals reading, algebraic ideals reading, Relations: 4934852 Max relations in full relation-set: Initial matrix: Pruned matrix : 407050 x 407298 Total sieving time: 6.06 hours. Total relation processing time: 0.44 hours. Matrix solve time: 0.33 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,2550000,2550000,26,26,49,49,2.3,2.3,75000 total time: 7.05 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341) Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)``` `GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10145-319

### c117

name 名前 Jo Yeong Uk November 5, 2009 06:05:33 UTC 2009 年 11 月 5 日 (木) 15 時 5 分 33 秒 (日本時間) `326017281616386218615956963496149396800689269848098363793483088850308834552548967331260168013696545100284199033290793<117>` ```9260894445086141962651210313544909342955325247050444087<55> 35203649447637528618873300517503888994181400098044701486542239<62>``` ```Number: 74441_145 N=326017281616386218615956963496149396800689269848098363793483088850308834552548967331260168013696545100284199033290793 ( 117 digits) SNFS difficulty: 146 digits. Divisors found: r1=9260894445086141962651210313544909342955325247050444087 r2=35203649447637528618873300517503888994181400098044701486542239 Version: Total time: 6.29 hours. Scaled time: 15.05 units (timescale=2.391). Factorization parameters were as follows: n: 326017281616386218615956963496149396800689269848098363793483088850308834552548967331260168013696545100284199033290793 m: 100000000000000000000000000000 deg: 5 c5: 67 c0: -31 skew: 0.86 type: snfs lss: 1 rlim: 2400000 alim: 2400000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [1200000, 1800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 4800623 Max relations in full relation-set: Initial matrix: Pruned matrix : 307282 x 307530 Total sieving time: 5.82 hours. Total relation processing time: 0.19 hours. Matrix solve time: 0.20 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,2400000,2400000,26,26,49,49,2.3,2.3,75000 total time: 6.29 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341) Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)``` `GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10147-319

### c138

name 名前 Jo Yeong Uk November 6, 2009 00:54:03 UTC 2009 年 11 月 6 日 (金) 9 時 54 分 3 秒 (日本時間) `871347106946750342151715673907223653960159603609685187432378536350270402789209264962140023280103965088548237737624848609941132704889347069<138>` ```3543243945117669927050599146096106098149924350703<49> 245917899090014024113532245535836223215750238360235398952104060053448988922276779413690323<90>``` ```Number: 74441_147 N=871347106946750342151715673907223653960159603609685187432378536350270402789209264962140023280103965088548237737624848609941132704889347069 ( 138 digits) SNFS difficulty: 148 digits. Divisors found: r1=3543243945117669927050599146096106098149924350703 r2=245917899090014024113532245535836223215750238360235398952104060053448988922276779413690323 Version: Total time: 8.99 hours. Scaled time: 21.45 units (timescale=2.385). Factorization parameters were as follows: n: 871347106946750342151715673907223653960159603609685187432378536350270402789209264962140023280103965088548237737624848609941132704889347069 m: 100000000000000000000000000000 deg: 5 c5: 6700 c0: -31 skew: 0.34 type: snfs lss: 1 rlim: 3300000 alim: 3300000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 3300000/3300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved rational special-q in [1650000, 3375001) Primes: rational ideals reading, algebraic ideals reading, Relations: 7066652 Max relations in full relation-set: Initial matrix: Pruned matrix : 456862 x 457110 Total sieving time: 7.75 hours. Total relation processing time: 0.74 hours. Matrix solve time: 0.44 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,148,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,49,49,2.3,2.3,75000 total time: 8.99 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341) Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)``` `GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10149-319

### c136

name 名前 Jo Yeong Uk November 6, 2009 13:47:10 UTC 2009 年 11 月 6 日 (金) 22 時 47 分 10 秒 (日本時間) `1114304961721960173022091383380176976662874322011077839586378960447874153953371814034523514291547521078222901018637342512063392400614513<136>` ```20881086487350036134625000283626100896654287<44> 53364319064384742665900100125286466593148958555660756921564191235935418790516441550676542399<92>``` ```Number: 74441_149 N=1114304961721960173022091383380176976662874322011077839586378960447874153953371814034523514291547521078222901018637342512063392400614513 ( 136 digits) SNFS difficulty: 151 digits. Divisors found: r1=20881086487350036134625000283626100896654287 r2=53364319064384742665900100125286466593148958555660756921564191235935418790516441550676542399 Version: Total time: 10.05 hours. Scaled time: 23.97 units (timescale=2.386). Factorization parameters were as follows: n: 1114304961721960173022091383380176976662874322011077839586378960447874153953371814034523514291547521078222901018637342512063392400614513 m: 1000000000000000000000000000000 deg: 5 c5: 67 c0: -310 skew: 1.36 type: snfs lss: 1 rlim: 2000000 alim: 2000000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved rational special-q in [1000000, 2000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 7412479 Max relations in full relation-set: Initial matrix: Pruned matrix : 371929 x 372177 Total sieving time: 9.35 hours. Total relation processing time: 0.37 hours. Matrix solve time: 0.30 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,49,49,2.4,2.4,100000 total time: 10.05 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341) Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)``` `GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
754Jo Yeong UkNovember 5, 2009 15:53:07 UTC 2009 年 11 月 6 日 (金) 0 時 53 分 7 秒 (日本時間)

## 67×10150-319

### c93

name 名前 Sinkiti Sibata November 4, 2009 05:46:03 UTC 2009 年 11 月 4 日 (水) 14 時 46 分 3 秒 (日本時間) `537103120139339161837271430024183269497567761442391196882272189956546662230998950851183593673<93>` ```52149321682005352760460016522007528725573<41> 10299330898577574176970919887050802682776591407979701<53>``` ```Wed Nov 04 11:38:20 2009 Msieve v. 1.42 Wed Nov 04 11:38:20 2009 random seeds: 089ec948 20f939fa Wed Nov 04 11:38:20 2009 factoring 537103120139339161837271430024183269497567761442391196882272189956546662230998950851183593673 (93 digits) Wed Nov 04 11:38:21 2009 searching for 15-digit factors Wed Nov 04 11:38:21 2009 commencing quadratic sieve (93-digit input) Wed Nov 04 11:38:21 2009 using multiplier of 5 Wed Nov 04 11:38:21 2009 using 32kb Intel Core sieve core Wed Nov 04 11:38:21 2009 sieve interval: 36 blocks of size 32768 Wed Nov 04 11:38:21 2009 processing polynomials in batches of 6 Wed Nov 04 11:38:21 2009 using a sieve bound of 1954487 (72941 primes) Wed Nov 04 11:38:21 2009 using large prime bound of 244310875 (27 bits) Wed Nov 04 11:38:21 2009 using double large prime bound of 1253998370578250 (42-51 bits) Wed Nov 04 11:38:21 2009 using trial factoring cutoff of 51 bits Wed Nov 04 11:38:21 2009 polynomial 'A' values have 12 factors Wed Nov 04 14:26:40 2009 73249 relations (18003 full + 55246 combined from 1003555 partial), need 73037 Wed Nov 04 14:26:42 2009 begin with 1021558 relations Wed Nov 04 14:26:43 2009 reduce to 190009 relations in 11 passes Wed Nov 04 14:26:43 2009 attempting to read 190009 relations Wed Nov 04 14:26:45 2009 recovered 190009 relations Wed Nov 04 14:26:45 2009 recovered 173099 polynomials Wed Nov 04 14:26:46 2009 attempting to build 73249 cycles Wed Nov 04 14:26:46 2009 found 73249 cycles in 6 passes Wed Nov 04 14:26:46 2009 distribution of cycle lengths: Wed Nov 04 14:26:46 2009 length 1 : 18003 Wed Nov 04 14:26:46 2009 length 2 : 12924 Wed Nov 04 14:26:46 2009 length 3 : 12314 Wed Nov 04 14:26:46 2009 length 4 : 9925 Wed Nov 04 14:26:46 2009 length 5 : 7590 Wed Nov 04 14:26:46 2009 length 6 : 5002 Wed Nov 04 14:26:46 2009 length 7 : 3092 Wed Nov 04 14:26:46 2009 length 9+: 4399 Wed Nov 04 14:26:46 2009 largest cycle: 22 relations Wed Nov 04 14:26:46 2009 matrix is 72941 x 73249 (18.7 MB) with weight 4614755 (63.00/col) Wed Nov 04 14:26:46 2009 sparse part has weight 4614755 (63.00/col) Wed Nov 04 14:26:47 2009 filtering completed in 3 passes Wed Nov 04 14:26:47 2009 matrix is 69394 x 69458 (17.8 MB) with weight 4391238 (63.22/col) Wed Nov 04 14:26:47 2009 sparse part has weight 4391238 (63.22/col) Wed Nov 04 14:26:47 2009 saving the first 48 matrix rows for later Wed Nov 04 14:26:47 2009 matrix is 69346 x 69458 (10.7 MB) with weight 3426212 (49.33/col) Wed Nov 04 14:26:47 2009 sparse part has weight 2392857 (34.45/col) Wed Nov 04 14:26:47 2009 matrix includes 64 packed rows Wed Nov 04 14:26:47 2009 using block size 27783 for processor cache size 1024 kB Wed Nov 04 14:26:48 2009 commencing Lanczos iteration Wed Nov 04 14:26:48 2009 memory use: 11.2 MB Wed Nov 04 14:27:19 2009 lanczos halted after 1098 iterations (dim = 69346) Wed Nov 04 14:27:19 2009 recovered 18 nontrivial dependencies Wed Nov 04 14:27:19 2009 prp41 factor: 52149321682005352760460016522007528725573 Wed Nov 04 14:27:19 2009 prp53 factor: 10299330898577574176970919887050802682776591407979701 Wed Nov 04 14:27:19 2009 elapsed time 02:48:59```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10151-319

### c115

name 名前 Jo Yeong Uk November 8, 2009 02:30:24 UTC 2009 年 11 月 8 日 (日) 11 時 30 分 24 秒 (日本時間) `9977600076084199905958097161900099571496695646133438177125099495316432470281666399300303712370663052339771363026249<115>` ```8228829892112628636884835633777315487804386047416617137<55> 1212517479021868655624024510948004899355487100786836051889177<61>``` ```Number: 74441_151 N=9977600076084199905958097161900099571496695646133438177125099495316432470281666399300303712370663052339771363026249 ( 115 digits) SNFS difficulty: 152 digits. Divisors found: r1=8228829892112628636884835633777315487804386047416617137 r2=1212517479021868655624024510948004899355487100786836051889177 Version: Total time: 9.71 hours. Scaled time: 23.17 units (timescale=2.387). Factorization parameters were as follows: n: 9977600076084199905958097161900099571496695646133438177125099495316432470281666399300303712370663052339771363026249 m: 1000000000000000000000000000000 deg: 5 c5: 670 c0: -31 skew: 0.54 type: snfs lss: 1 rlim: 2200000 alim: 2200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2200000/2200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1100000, 2000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 7894010 Max relations in full relation-set: Initial matrix: Pruned matrix : 428637 x 428885 Total sieving time: 8.86 hours. Total relation processing time: 0.35 hours. Matrix solve time: 0.38 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,152,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,50,50,2.4,2.4,100000 total time: 9.71 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341) Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)``` `GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10153-319

### c121

name 名前 Erik Branger November 8, 2009 11:25:57 UTC 2009 年 11 月 8 日 (日) 20 時 25 分 57 秒 (日本時間) `5118578014796569030767959609696286789242595413285599606741445460908841782819618432069526246322988087219996094931712807123<121>` ```6384161033655476762880992360445318917<37> 801762046385247037048308402141985803146797607769907046767693665075239890836475568119<84>``` ```Number: 74441_153 N=5118578014796569030767959609696286789242595413285599606741445460908841782819618432069526246322988087219996094931712807123 ( 121 digits) SNFS difficulty: 156 digits. Divisors found: r1=6384161033655476762880992360445318917 (pp37) r2=801762046385247037048308402141985803146797607769907046767693665075239890836475568119 (pp84) Version: Msieve-1.40 Total time: 26.48 hours. Scaled time: 26.27 units (timescale=0.992). Factorization parameters were as follows: n: 5118578014796569030767959609696286789242595413285599606741445460908841782819618432069526246322988087219996094931712807123 m: 5000000000000000000000000000000 deg: 5 c5: 536 c0: -775 skew: 1.08 type: snfs lss: 1 rlim: 2800000 alim: 2800000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1400000, 2700001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 517516 x 517745 Total sieving time: 25.51 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.63 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000 total time: 26.48 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6950150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
800Erik BrangerNovember 7, 2009 21:51:02 UTC 2009 年 11 月 8 日 (日) 6 時 51 分 2 秒 (日本時間)

## 67×10154-319

### c148

name 名前 Robert Backstrom November 14, 2009 09:42:02 UTC 2009 年 11 月 14 日 (土) 18 時 42 分 2 秒 (日本時間) `1456186407891301048633085534526984980452186261655411095560996346126198256401951299349589559407742385341006983633110278828856387112542511922292572761<148>` ```19770670872949815347485142394152319553<38> 70311137559137507052774831616250832259377569867<47> 1047541994464449155489159844448139419478733450739365527434608811<64>``` ```Number: n N=1456186407891301048633085534526984980452186261655411095560996346126198256401951299349589559407742385341006983633110278828856387112542511922292572761 ( 148 digits) SNFS difficulty: 156 digits. Divisors found: Sat Nov 14 18:58:09 2009 prp38 factor: 19770670872949815347485142394152319553 Sat Nov 14 18:58:09 2009 prp47 factor: 70311137559137507052774831616250832259377569867 Sat Nov 14 18:58:09 2009 prp64 factor: 1047541994464449155489159844448139419478733450739365527434608811 Sat Nov 14 18:58:09 2009 elapsed time 00:55:11 (Msieve 1.43 - dependency 4) Version: GGNFS-0.77.1-20051202-athlon Total time: 21.59 hours. Scaled time: 39.25 units (timescale=1.818). Factorization parameters were as follows: name: KA_7_4_153_1 n: 1456186407891301048633085534526984980452186261655411095560996346126198256401951299349589559407742385341006983633110278828856387112542511922292572761 m: 10000000000000000000000000000000 deg: 5 c5: 67 c0: -310 skew: 1.36 type: snfs lss: 1 rlim: 2900000 alim: 2900000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 50000 Factor base limits: 2900000/2900000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved special-q in [1450000, 2750249) Primes: RFBsize:210109, AFBsize:210215, largePrimes:7718909 encountered Relations: rels:7439444, finalFF:438767 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 935880 hash collisions in 8065056 relations Msieve: matrix is 535005 x 535232 (143.1 MB) Total sieving time: 21.47 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000 total time: 21.59 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10156-319

### c126

name 名前 Jo Yeong Uk November 14, 2009 02:17:58 UTC 2009 年 11 月 14 日 (土) 11 時 17 分 58 秒 (日本時間) `375573596903421635313913662354161350696820930953190410603725173618920376118848018490033787713031094858628432879290956933623467<126>` ```80153664603958430270698294749615024437<38> 53243536433576582261971256661042578792061799<44> 88004479143123417579377741641004702435368009<44>``` ```Number: 74441_156 N=375573596903421635313913662354161350696820930953190410603725173618920376118848018490033787713031094858628432879290956933623467 ( 126 digits) SNFS difficulty: 157 digits. Divisors found: r1=80153664603958430270698294749615024437 r2=53243536433576582261971256661042578792061799 r3=88004479143123417579377741641004702435368009 Version: Total time: 14.44 hours. Scaled time: 34.20 units (timescale=2.368). Factorization parameters were as follows: n: 375573596903421635313913662354161350696820930953190410603725173618920376118848018490033787713031094858628432879290956933623467 m: 10000000000000000000000000000000 deg: 5 c5: 670 c0: -31 skew: 0.54 type: snfs lss: 1 rlim: 3000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1500000, 2800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 8551031 Max relations in full relation-set: Initial matrix: Pruned matrix : 530012 x 530260 Total sieving time: 13.13 hours. Total relation processing time: 0.55 hours. Matrix solve time: 0.61 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000 total time: 14.44 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341) Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)``` `GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10158-319

### c101

name 名前 Sinkiti Sibata November 4, 2009 09:31:16 UTC 2009 年 11 月 4 日 (水) 18 時 31 分 16 秒 (日本時間) `29613214786486185544278227521549428503432789847535163482886575624753396192189049354232057714028860899<101>` ```93224551460111137035240108268625574954487489831903<50> 317654677042421270612800208132930793843765449092733<51>``` ```Number: 74441_158 N=29613214786486185544278227521549428503432789847535163482886575624753396192189049354232057714028860899 ( 101 digits) Divisors found: r1=93224551460111137035240108268625574954487489831903 (pp50) r2=317654677042421270612800208132930793843765449092733 (pp51) Version: Msieve-1.40 Total time: 5.22 hours. Scaled time: 17.25 units (timescale=3.305). Factorization parameters were as follows: name: 74441_158 n: 29613214786486185544278227521549428503432789847535163482886575624753396192189049354232057714028860899 skew: 2475.53 # norm 7.83e+13 c5: 286800 c4: -2941514404 c3: 3174525952836 c2: 18842763152668317 c1: 16056592382406591394 c0: 4443972655071256500177 # alpha -4.91 Y1: 60202425107 Y0: -10064370379691956090 # Murphy_E 3.01e-09 # M 5135300505416392765969601109169315018788510709089396459401407529503863629792793102008601301469075470 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [900000, 1500001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 214611 x 214859 Polynomial selection time: 0.55 hours. Total sieving time: 4.53 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.08 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 5.22 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10160-319

### c121

name 名前 Jo Yeong Uk November 18, 2009 09:31:30 UTC 2009 年 11 月 18 日 (水) 18 時 31 分 30 秒 (日本時間) `8358154164466588821090554087275649937241803372935761744857267124951914706311950912111526869642631543490919504968482278503<121>` ```5184273162643458694917399313243984064834873060204015700713<58> 1612213304015942235676505728696547693838364040958693307596122831<64>``` ```Number: 74441_160 N=8358154164466588821090554087275649937241803372935761744857267124951914706311950912111526869642631543490919504968482278503 ( 121 digits) SNFS difficulty: 161 digits. Divisors found: r1=5184273162643458694917399313243984064834873060204015700713 r2=1612213304015942235676505728696547693838364040958693307596122831 Version: Total time: 17.49 hours. Scaled time: 41.84 units (timescale=2.392). Factorization parameters were as follows: n: 8358154164466588821090554087275649937241803372935761744857267124951914706311950912111526869642631543490919504968482278503 m: 100000000000000000000000000000000 deg: 5 c5: 67 c0: -31 skew: 0.86 type: snfs lss: 1 rlim: 3400000 alim: 3400000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3400000/3400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1700000, 3200001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9409654 Max relations in full relation-set: Initial matrix: Pruned matrix : 652517 x 652764 Total sieving time: 15.59 hours. Total relation processing time: 0.68 hours. Matrix solve time: 0.91 hours. Time per square root: 0.30 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000 total time: 17.49 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792) Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346) Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338) Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)``` `GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10163-319

### c134

name 名前 Jo Yeong Uk November 12, 2009 13:52:13 UTC 2009 年 11 月 12 日 (木) 22 時 52 分 13 秒 (日本時間) `10468301293755797423881824808300936684163049041001719203135482913387586546663127409790577743604090731829830211783508368815067239088721<134>` ```2379704242579980728400961963262974523<37> 80520601705670054813859962771453621977<38> 54631889004741725520371953058841143590754460348049791924251<59>``` ```GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM] Input number is 10468301293755797423881824808300936684163049041001719203135482913387586546663127409790577743604090731829830211783508368815067239088721 (134 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4672242577 Step 1 took 3327ms Step 2 took 2201ms ********** Factor found in step 2: 80520601705670054813859962771453621977 Found probable prime factor of 38 digits: 80520601705670054813859962771453621977 Composite cofactor 130007738044742485114119405003336802697164449362326732828807416813930485046568036276242158857273 has 96 digits Number: 74441_163 N=130007738044742485114119405003336802697164449362326732828807416813930485046568036276242158857273 ( 96 digits) Divisors found: r1=2379704242579980728400961963262974523 r2=54631889004741725520371953058841143590754460348049791924251 Version: Total time: 1.50 hours. Scaled time: 3.46 units (timescale=2.313). Factorization parameters were as follows: name: 74441_163 n: 130007738044742485114119405003336802697164449362326732828807416813930485046568036276242158857273 skew: 1979.38 # norm 1.96e+13 c5: 273300 c4: 304405751 c3: 365710080704 c2: -4895444318937764 c1: -4512394773361583236 c0: 13984228209751842845 # alpha -6.07 Y1: 14191866557 Y0: -861914766383702208 # Murphy_E 6.01e-09 # M 46998393681213226899223521402912408001520722578974367414646002933959646617795624266321907021062 type: gnfs rlim: 800000 alim: 800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 40000 Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [400000, 680001) Primes: rational ideals reading, algebraic ideals reading, Relations: 3482298 Max relations in full relation-set: Initial matrix: Pruned matrix : 128893 x 129141 Polynomial selection time: 0.10 hours. Total sieving time: 1.21 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.04 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,95,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,800000,800000,26,26,48,48,2.5,2.5,40000 total time: 1.50 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341) Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)``` `GMP-ECM v6.2.3 / GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10166-319

### c164

name 名前 Dmitry Domanov November 26, 2009 18:20:42 UTC 2009 年 11 月 27 日 (金) 3 時 20 分 42 秒 (日本時間) `54698342721854845293493346395624132582251612376520532288350069393419871009878357416931994448526410319209731406645440444117887174463221487468364764470569026042942281<164>` ```36877280473198598114033606344601705893521134287453029239<56> 1483253158041523948079442997084179518478110622805970858351989516224667268559875468140693529675012634339151679<109>``` ```N=54698342721854845293493346395624132582251612376520532288350069393419871009878357416931994448526410319209731406645440444117887174463221487468364764470569026042942281 ( 164 digits) SNFS difficulty: 169 digits. Divisors found: r1=36877280473198598114033606344601705893521134287453029239 (pp56) r2=1483253158041523948079442997084179518478110622805970858351989516224667268559875468140693529675012634339151679 (pp109) Version: Msieve-1.40 Total time: 71.53 hours. Scaled time: 66.81 units (timescale=0.934). Factorization parameters were as follows: n: 54698342721854845293493346395624132582251612376520532288350069393419871009878357416931994448526410319209731406645440444117887174463221487468364764470569026042942281 m: 2000000000000000000000000000000000 deg: 5 c5: 335 c0: -496 skew: 1.08 type: snfs lss: 1 rlim: 4600000 alim: 4600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4Factor base limits: 4600000/4600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2300000, 5100001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 881679 x 881908 Total sieving time: 69.81 hours. Total relation processing time: 0.14 hours. Matrix solve time: 1.42 hours. Time per square root: 0.17 hours. Prototype def-par.txt line would be: snfs,169.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000 total time: 71.53 hours. --------- CPU info (if available) ----------``` `GGNFS/msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6905150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
755juno1369November 14, 2009 20:50:29 UTC 2009 年 11 月 15 日 (日) 5 時 50 分 29 秒 (日本時間)
403e621055DieDisneyChannelNovember 18, 2009 01:45:46 UTC 2009 年 11 月 18 日 (水) 10 時 45 分 46 秒 (日本時間)
42DannyBarry1993November 18, 2009 03:00:58 UTC 2009 年 11 月 18 日 (水) 12 時 0 分 58 秒 (日本時間)
36AntiDisneyMovementNovember 19, 2009 03:08:13 UTC 2009 年 11 月 19 日 (木) 12 時 8 分 13 秒 (日本時間)
22TheDisneyRebelionNovember 20, 2009 03:08:07 UTC 2009 年 11 月 20 日 (金) 12 時 8 分 7 秒 (日本時間)
28camper12444November 21, 2009 01:35:30 UTC 2009 年 11 月 21 日 (土) 10 時 35 分 30 秒 (日本時間)
19NoMoreDisneyChannelNovember 21, 2009 07:45:14 UTC 2009 年 11 月 21 日 (土) 16 時 45 分 14 秒 (日本時間)
18tnpanNovember 21, 2009 17:14:20 UTC 2009 年 11 月 22 日 (日) 2 時 14 分 20 秒 (日本時間)
1935DieDisneyChannelNovember 22, 2009 04:02:22 UTC 2009 年 11 月 22 日 (日) 13 時 2 分 22 秒 (日本時間)
4511e63974DannyBarry1993November 22, 2009 04:12:45 UTC 2009 年 11 月 22 日 (日) 13 時 12 分 45 秒 (日本時間)
5043e6309 / 6577NoMoreDisneyChannelNovember 22, 2009 04:17:07 UTC 2009 年 11 月 22 日 (日) 13 時 17 分 7 秒 (日本時間)

## 67×10167-319

### c94

name 名前 Sinkiti Sibata November 4, 2009 09:36:50 UTC 2009 年 11 月 4 日 (水) 18 時 36 分 50 秒 (日本時間) `3502425090514369839464801792831352863378564620939980353829959014019250494360162188995524651143<94>` ```84574198791351340668356637482340533647<38> 41412453686437193224539957363738958943723854038718898569<56>``` ```Wed Nov 04 14:47:54 2009 Msieve v. 1.42 Wed Nov 04 14:47:54 2009 random seeds: b7fa92a0 b09111fb Wed Nov 04 14:47:54 2009 factoring 3502425090514369839464801792831352863378564620939980353829959014019250494360162188995524651143 (94 digits) Wed Nov 04 14:47:55 2009 searching for 15-digit factors Wed Nov 04 14:47:55 2009 commencing quadratic sieve (94-digit input) Wed Nov 04 14:47:55 2009 using multiplier of 7 Wed Nov 04 14:47:55 2009 using 32kb Intel Core sieve core Wed Nov 04 14:47:55 2009 sieve interval: 36 blocks of size 32768 Wed Nov 04 14:47:55 2009 processing polynomials in batches of 6 Wed Nov 04 14:47:55 2009 using a sieve bound of 2025253 (75248 primes) Wed Nov 04 14:47:55 2009 using large prime bound of 271383902 (28 bits) Wed Nov 04 14:47:55 2009 using double large prime bound of 1515134967946490 (42-51 bits) Wed Nov 04 14:47:55 2009 using trial factoring cutoff of 51 bits Wed Nov 04 14:47:55 2009 polynomial 'A' values have 12 factors Wed Nov 04 17:50:50 2009 75673 relations (18625 full + 57048 combined from 1070859 partial), need 75344 Wed Nov 04 17:50:51 2009 begin with 1089484 relations Wed Nov 04 17:50:52 2009 reduce to 195943 relations in 11 passes Wed Nov 04 17:50:52 2009 attempting to read 195943 relations Wed Nov 04 17:50:55 2009 recovered 195943 relations Wed Nov 04 17:50:55 2009 recovered 179427 polynomials Wed Nov 04 17:50:56 2009 attempting to build 75673 cycles Wed Nov 04 17:50:56 2009 found 75673 cycles in 6 passes Wed Nov 04 17:50:56 2009 distribution of cycle lengths: Wed Nov 04 17:50:56 2009 length 1 : 18625 Wed Nov 04 17:50:56 2009 length 2 : 13525 Wed Nov 04 17:50:56 2009 length 3 : 12818 Wed Nov 04 17:50:56 2009 length 4 : 10120 Wed Nov 04 17:50:56 2009 length 5 : 7691 Wed Nov 04 17:50:56 2009 length 6 : 5105 Wed Nov 04 17:50:56 2009 length 7 : 3291 Wed Nov 04 17:50:56 2009 length 9+: 4498 Wed Nov 04 17:50:56 2009 largest cycle: 20 relations Wed Nov 04 17:50:56 2009 matrix is 75248 x 75673 (19.9 MB) with weight 4909489 (64.88/col) Wed Nov 04 17:50:56 2009 sparse part has weight 4909489 (64.88/col) Wed Nov 04 17:50:57 2009 filtering completed in 3 passes Wed Nov 04 17:50:57 2009 matrix is 71566 x 71630 (18.9 MB) with weight 4655436 (64.99/col) Wed Nov 04 17:50:57 2009 sparse part has weight 4655436 (64.99/col) Wed Nov 04 17:50:57 2009 saving the first 48 matrix rows for later Wed Nov 04 17:50:57 2009 matrix is 71518 x 71630 (12.2 MB) with weight 3691149 (51.53/col) Wed Nov 04 17:50:57 2009 sparse part has weight 2758033 (38.50/col) Wed Nov 04 17:50:57 2009 matrix includes 64 packed rows Wed Nov 04 17:50:57 2009 using block size 28652 for processor cache size 1024 kB Wed Nov 04 17:50:58 2009 commencing Lanczos iteration Wed Nov 04 17:50:58 2009 memory use: 12.2 MB Wed Nov 04 17:51:32 2009 lanczos halted after 1132 iterations (dim = 71517) Wed Nov 04 17:51:32 2009 recovered 17 nontrivial dependencies Wed Nov 04 17:51:33 2009 prp38 factor: 84574198791351340668356637482340533647 Wed Nov 04 17:51:33 2009 prp56 factor: 41412453686437193224539957363738958943723854038718898569 Wed Nov 04 17:51:33 2009 elapsed time 03:03:39```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10168-319

### c104

name 名前 Jo Yeong Uk November 4, 2009 16:53:49 UTC 2009 年 11 月 5 日 (木) 1 時 53 分 49 秒 (日本時間) `66703606449858545643662707449559166574748186359301268429300565428305734048800989227920948282512461698867<104>` ```97126863769841467874236485364535089605312141371<47> 686767840130450661304870889966446488159378580482101462377<57>``` ```Number: 74441_168 N=66703606449858545643662707449559166574748186359301268429300565428305734048800989227920948282512461698867 ( 104 digits) Divisors found: r1=97126863769841467874236485364535089605312141371 r2=686767840130450661304870889966446488159378580482101462377 Version: Total time: 4.22 hours. Scaled time: 10.06 units (timescale=2.384). Factorization parameters were as follows: name: 74441_168 n: 66703606449858545643662707449559166574748186359301268429300565428305734048800989227920948282512461698867 skew: 22384.96 # norm 2.87e+14 c5: 15660 c4: -501824996 c3: -18525148742447 c2: 266426610854246285 c1: 4333073707957086227643 c0: 14764715322523703194493871 # alpha -6.14 Y1: 7300412317 Y0: -84308575724840796752 # Murphy_E 2.08e-09 # M 5388142146302891828223044752647144935689243276179164408869092559758099099626333652594346077847048977290 type: gnfs rlim: 1500000 alim: 1500000 lpbr: 26 lpba: 26 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 50000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 50/50 Sieved algebraic special-q in [750000, 1500001) Primes: rational ideals reading, algebraic ideals reading, Relations: 4950394 Max relations in full relation-set: Initial matrix: Pruned matrix : 255278 x 255526 Polynomial selection time: 0.29 hours. Total sieving time: 3.36 hours. Total relation processing time: 0.35 hours. Matrix solve time: 0.14 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000 total time: 4.22 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341) Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)``` `GGNFS / Msieve v1.39` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10171-319

### c147

name 名前 Sinkiti Sibata April 30, 2010 08:26:25 UTC 2010 年 4 月 30 日 (金) 17 時 26 分 25 秒 (日本時間) `819730279192884954876717941791607918778352079956310778917518740447987066871955538150419796053496334761244126574017352386456236991389000350051679821<147>` ```39268314952713850595448103837343547881474177284595825197111581901<65> 20875107072457486060732694351310805475334418232554128505489461163587376424731649921<83>``` ```Number: 74441_171 N=819730279192884954876717941791607918778352079956310778917518740447987066871955538150419796053496334761244126574017352386456236991389000350051679821 ( 147 digits) SNFS difficulty: 172 digits. Divisors found: r1=39268314952713850595448103837343547881474177284595825197111581901 (pp65) r2=20875107072457486060732694351310805475334418232554128505489461163587376424731649921 (pp83) Version: Msieve-1.40 Total time: 78.42 hours. Scaled time: 231.64 units (timescale=2.954). Factorization parameters were as follows: name: 74441_171 n: 819730279192884954876717941791607918778352079956310778917518740447987066871955538150419796053496334761244126574017352386456236991389000350051679821 m: 10000000000000000000000000000000000 deg: 5 c5: 670 c0: -31 skew: 0.54 type: snfs lss: 1 rlim: 5300000 alim: 5300000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5300000/5300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2650000, 6350001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1016588 x 1016836 Total sieving time: 76.13 hours. Total relation processing time: 0.11 hours. Matrix solve time: 2.07 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000 total time: 78.42 hours. --------- CPU info (if available) ----------``` ```Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin) ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 28, 2009 09:09:58 UTC 2009 年 11 月 28 日 (土) 18 時 9 分 58 秒 (日本時間)

## 67×10173-319

### c174

name 名前 Dmitry Domanov November 6, 2009 04:47:28 UTC 2009 年 11 月 6 日 (金) 13 時 47 分 28 秒 (日本時間) `248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<174>` ```430710479242399035363062350740645865987466720557004828022753286974516590870289028663<84> 576136778897578548828836762015811405604962956451806450404338507568484460587741229848480869<90>``` ```N=248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147 ( 174 digits) SNFS difficulty: 176 digits. Divisors found: r1=430710479242399035363062350740645865987466720557004828022753286974516590870289028663 (pp84) r2=576136778897578548828836762015811405604962956451806450404338507568484460587741229848480869 (pp90) Version: Msieve-1.40 Total time: 104.00 hours. Scaled time: 197.49 units (timescale=1.899). Factorization parameters were as follows: n: 248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147 m: 50000000000000000000000000000000000 deg: 5 c5: 536 c0: -775 skew: 1.08 type: snfs lss: 1 rlim: 6100000 alim: 6100000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5Factor base limits: 6100000/6100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3050000, 8350001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1467553 x 1467786 Total sieving time: 100.25 hours. Total relation processing time: 0.17 hours. Matrix solve time: 2.82 hours. Time per square root: 0.75 hours. Prototype def-par.txt line would be: snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000 total time: 104.00 hours. --------- CPU info (if available) ----------``` `GGNFS/msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10174-319

### c152

name 名前 Ignacio Santos June 9, 2010 21:31:05 UTC 2010 年 6 月 10 日 (木) 6 時 31 分 5 秒 (日本時間) `39486958878461977530728017677393333887113465707845189339260872315000605869237979314708532093662195595794929864937545522035432987798745286621845173767753<152>` `10089025204178640369944170255353061<35>` `3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373<118>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3446776837 Step 1 took 77407ms ********** Factor found in step 1: 10089025204178640369944170255353061 Found probable prime factor of 35 digits: 10089025204178640369944170255353061 Composite cofactor 3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373 has 118 digits``` `GMP-ECM 6.2.3`

### c118

name 名前 Dmitry Domanov June 14, 2010 11:32:36 UTC 2010 年 6 月 14 日 (月) 20 時 32 分 36 秒 (日本時間) `3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373<118>` ```1107956568466102167290113690803424518152297503113039877<55> 3532496530426287269069411683893327481180797375709308177297031249<64>``` ```Number: 118-1 N=3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373 ( 118 digits) Divisors found: r1=1107956568466102167290113690803424518152297503113039877 (pp55) r2=3532496530426287269069411683893327481180797375709308177297031249 (pp64) Version: Msieve-1.40 Total time: 37.11 hours. Scaled time: 66.17 units (timescale=1.783). Factorization parameters were as follows: name: 118-1 n: 3913852733969521108396737459135578648889112258477748271939982445131191159878127926613902323430685114652421851852116373 skew: 42954.57 # norm 8.57e+015 c5: 54660 c4: -932461988 c3: -374496512642915 c2: 10002635600250758200 c1: 270855343945990365403500 c0: -18562453694038349731592352 # alpha -5.98 Y1: 3386095329991 Y0: -37238064974161682273765 # Murphy_E 4.25e-010 # M 2222552567939126652836296674134316880245006806139735071148813715276862431777248114069572064147648960180184003064531821 type: gnfs rlim: 3800000 alim: 3800000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 3800000/3800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved algebraic special-q in [1900000, 3400001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 637643 x 637872 Polynomial selection time: 4.04 hours. Total sieving time: 32.09 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.73 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000 total time: 37.11 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10175-319

### c170

name 名前 Dmitry Domanov November 11, 2009 20:27:22 UTC 2009 年 11 月 12 日 (木) 5 時 27 分 22 秒 (日本時間) `82783471921514349402840807507052348684477963101553203269378776764236255132729705909862637508598052018415492222492812973726873603106134712431841093295366609076552841863923<170>` ```393007290755296676600975185335423075552050629797117701609<57> 210641059005337681090850353556043252785508344730403422889278293035429519751561094996454076042806528622893752218747<114>``` ```N=82783471921514349402840807507052348684477963101553203269378776764236255132729705909862637508598052018415492222492812973726873603106134712431841093295366609076552841863923 ( 170 digits) SNFS difficulty: 176 digits. Divisors found: r1=393007290755296676600975185335423075552050629797117701609 (pp57) r2=210641059005337681090850353556043252785508344730403422889278293035429519751561094996454076042806528622893752218747 (pp114) Version: Msieve-1.40 Total time: 82.62 hours. Scaled time: 155.56 units (timescale=1.883). Factorization parameters were as follows: n: 82783471921514349402840807507052348684477963101553203269378776764236255132729705909862637508598052018415492222492812973726873603106134712431841093295366609076552841863923 m: 100000000000000000000000000000000000 deg: 5 c5: 67 c0: -31 skew: 0.86 type: snfs lss: 1 rlim: 6200000 alim: 6200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3100000, 7200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1326117 x 1326348 Total sieving time: 79.81 hours. Total relation processing time: 0.16 hours. Matrix solve time: 2.19 hours. Time per square root: 0.45 hours. Prototype def-par.txt line would be: snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000 total time: 82.62 hours. --------- CPU info (if available) ----------``` `GGNFS/msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10176-319

### c174

name 名前 Dmitry Domanov November 10, 2009 11:52:11 UTC 2009 年 11 月 10 日 (火) 20 時 52 分 11 秒 (日本時間) `268849564624212511536455198427029412944905902652381525620962240680550539705469282934071666466032663215761807311103085750973074916736888567874483367441113919987159423779142089<174>` `14585106125382471096943606647246369289<38>` `18433157929261372543020550729674096547707466849046376880307345015073860397953606708332537812839756446385684607720942028809690211884235201<137>` `Factor=14585106125382471096943606647246369289 Method=ECM B1=11000000 Sigma=2392920153` `ECMNET`

### c137

name 名前 Warut Roonguthai January 30, 2013 08:33:22 UTC 2013 年 1 月 30 日 (水) 17 時 33 分 22 秒 (日本時間) `18433157929261372543020550729674096547707466849046376880307345015073860397953606708332537812839756446385684607720942028809690211884235201<137>` ```19898020154030755883891055184890564603400541908862993560684534496063<68> 926381508641067228306012978749534751045234695934945784575230010870527<69>``` ```N = 18433157929261372543020550729674096547707466849046376880307345015073860397953606708332537812839756446385684607720942028809690211884235201 (137 digits) SNFS difficulty: 178 digits. Divisors found: r1=19898020154030755883891055184890564603400541908862993560684534496063 (pp68) r2=926381508641067228306012978749534751045234695934945784575230010870527 (pp69) Version: Msieve v. 1.48 Total time: 40.25 hours. Factorization parameters were as follows: name: (67*10^176-31)/9 n: 18433157929261372543020550729674096547707466849046376880307345015073860397953606708332537812839756446385684607720942028809690211884235201 Y0: 100000000000000000000000000000000000 Y1: -1 c0: -31 c1: 0 c2: 0 c3: 0 c4: 0 c5: 670 skew: 0.54 type: snfs Factor base limits: 6500000/6500000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 20891025 Relations: 2718970 relations Pruned matrix : 1545766 x 1545991 Polynomial selection time: 0.00 hours. Total sieving time: 36.86 hours. Total relation processing time: 0.12 hours. Matrix solve time: 3.11 hours. time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000 total time: 40.25 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 4, speed: 2.29GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 12:47:00 UTC 2010 年 11 月 6 日 (土) 21 時 47 分 0 秒 (日本時間)
403e62117110Ignacio SantosNovember 6, 2010 12:47:00 UTC 2010 年 11 月 6 日 (土) 21 時 47 分 0 秒 (日本時間)
2007Wataru SakaiOctober 24, 2011 00:58:16 UTC 2011 年 10 月 24 日 (月) 9 時 58 分 16 秒 (日本時間)
4511e632 / 3992Ignacio SantosNovember 6, 2010 12:47:00 UTC 2010 年 11 月 6 日 (土) 21 時 47 分 0 秒 (日本時間)

## 67×10177-319

### c134

name 名前 Ignacio Santos November 6, 2010 12:45:22 UTC 2010 年 11 月 6 日 (土) 21 時 45 分 22 秒 (日本時間) `68162642146051008875308794945570688276123190301450753342859160824346795452437649947865398298519512661137273260502669239635297940735861<134>` ```505759631354981794964047398848248973<36> 134772800991325300273077336980786311442257355451892165176382096720526209317925748259944647776542857<99>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2246438050 Step 1 took 5289ms Step 2 took 4274ms ********** Factor found in step 2: 505759631354981794964047398848248973 Found probable prime factor of 36 digits: 505759631354981794964047398848248973 Probable prime cofactor 134772800991325300273077336980786311442257355451892165176382096720526209317925748259944647776542857 has 99 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10180-319

### c158

name 名前 Jo Yeong Uk March 9, 2014 00:47:06 UTC 2014 年 3 月 9 日 (日) 9 時 47 分 6 秒 (日本時間) `18427535511810012338050410760465638074422717727231677986827459831777358975194321812745652499127977414435436362202623736989607106225824757051548621901859097137<158>` ```817372861126359048794746447096443033068029937530770407393222921141558437<72> 22544834050908461165732547254318851639929285113145702182725787416536172686973717235101<86>``` ```Number: 74441_180 N=18427535511810012338050410760465638074422717727231677986827459831777358975194321812745652499127977414435436362202623736989607106225824757051548621901859097137 ( 158 digits) SNFS difficulty: 181 digits. Divisors found: r1=817372861126359048794746447096443033068029937530770407393222921141558437 r2=22544834050908461165732547254318851639929285113145702182725787416536172686973717235101 Version: Total time: 55.71 hours. Scaled time: 292.85 units (timescale=5.257). Factorization parameters were as follows: n: 18427535511810012338050410760465638074422717727231677986827459831777358975194321812745652499127977414435436362202623736989607106225824757051548621901859097137 m: 1000000000000000000000000000000000000 deg: 5 c5: 67 c0: -31 skew: 0.86 # Murphy_E = 8.883e-11 type: snfs lss: 1 rlim: 5400000 alim: 5400000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 5400000/5400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [2700000, 5400001) Primes: rational ideals reading, algebraic ideals reading, Relations: 17986251 Max relations in full relation-set: Initial matrix: Pruned matrix : 1376369 x 1376617 Total sieving time: 52.29 hours. Total relation processing time: 1.22 hours. Matrix solve time: 2.11 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,181,5,0,0,0,0,0,0,0,0,5400000,5400000,28,28,53,53,2.5,2.5,100000 total time: 55.71 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928) Total of 12 processors activated (81598.27 BogoMIPS).``` `GGNFS / Msieve v1.39` `Core i7 4930k`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 12:47:32 UTC 2010 年 11 月 6 日 (土) 21 時 47 分 32 秒 (日本時間)
403e6110Ignacio SantosNovember 6, 2010 12:47:32 UTC 2010 年 11 月 6 日 (土) 21 時 47 分 32 秒 (日本時間)
4511e61482 / 443532Ignacio SantosNovember 6, 2010 12:47:32 UTC 2010 年 11 月 6 日 (土) 21 時 47 分 32 秒 (日本時間)
600Rich DickersonJuly 4, 2012 15:22:25 UTC 2012 年 7 月 5 日 (木) 0 時 22 分 25 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:48 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 48 秒 (日本時間)

## 67×10184-319

### c114

name 名前 Erik Branger November 6, 2009 14:29:11 UTC 2009 年 11 月 6 日 (金) 23 時 29 分 11 秒 (日本時間) `351326333777306830594696036569012983844843250127802988338902578492097989153379793913822350569995529157766770559319<114>` ```339804285505812771909306394351621065329986786223<48> 1033907895700441246559141545237427637530368994032326666507566286553<67>``` ```Number: 74441_184 N=351326333777306830594696036569012983844843250127802988338902578492097989153379793913822350569995529157766770559319 ( 114 digits) Divisors found: r1=339804285505812771909306394351621065329986786223 (pp48) r2=1033907895700441246559141545237427637530368994032326666507566286553 (pp67) Version: Msieve-1.40 Total time: 23.21 hours. Scaled time: 22.44 units (timescale=0.967). Factorization parameters were as follows: n: 351326333777306830594696036569012983844843250127802988338902578492097989153379793913822350569995529157766770559319 c5: 10800 c4: 1941725750 c3: 81144728246589 c2: -2951244695963751041 c1: 4701141700422248571895 c0: 240834821565109408055254255 Y1: 1235140464791 Y0:-7988311196055664378158 skew: 35675.38 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1750000, 2750001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 525895 x 526143 Total sieving time: 22.16 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.61 hours. Time per square root: 0.34 hours. Prototype def-par.txt line would be: gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 23.21 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10185-319

### c177

name 名前 matsui January 14, 2011 08:23:28 UTC 2011 年 1 月 14 日 (金) 17 時 23 分 28 秒 (日本時間) `416125918721196299202426550126014564187415913447249322753405882995442152378600877341763816384777972708486335341827871579071917621679951134778060327835564584765050657169766916463<177>` ```81087778987890950319381185660568997637551954440426196784469871<62> 5131795739322660061520153353210447923892452263927995547459620715762426302360140169993475435650712589802639928612353<115>``` ```N=416125918721196299202426550126014564187415913447249322753405882995442152378600877341763816384777972708486335341827871579071917621679951134778060327835564584765050657169766916463 ( 177 digits) SNFS difficulty: 186 digits. Divisors found: r1=81087778987890950319381185660568997637551954440426196784469871 (pp62) r2=5131795739322660061520153353210447923892452263927995547459620715762426302360140169993475435650712589802639928612353 (pp115) Version: Msieve v. 1.48 Total time: Scaled time: 93.86 units (timescale=0.698). Factorization parameters were as follows: n: 416125918721196299202426550126014564187415913447249322753405882995442152378600877341763816384777972708486335341827871579071917621679951134778060327835564584765050657169766916463 m: 10000000000000000000000000000000000000 deg: 5 c5: 67 c0: -31 skew: 0.86 type: snfs lss: 1 rlim: 9100000 alim: 9100000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 320000 Factor base limits: 9100000/9100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4550000, 13510001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1944158 x 1944268 Total sieving time: Total relation processing time: Matrix solve time: Time per square root: Prototype def-par.txt line would be: snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000 total time:```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 12:48:05 UTC 2010 年 11 月 6 日 (土) 21 時 48 分 5 秒 (日本時間)
403e6110 / 2117Ignacio SantosNovember 6, 2010 12:48:05 UTC 2010 年 11 月 6 日 (土) 21 時 48 分 5 秒 (日本時間)
4511e632 / 4435Ignacio SantosNovember 6, 2010 12:48:05 UTC 2010 年 11 月 6 日 (土) 21 時 48 分 5 秒 (日本時間)

## 67×10186-319

### c170

name 名前 LegionMammal978 March 6, 2017 11:23:43 UTC 2017 年 3 月 6 日 (月) 20 時 23 分 43 秒 (日本時間) `16392856905755968789165352920464962591059910057120573674304472507449360467540158873057190752528294688444193530062314391182321862002580084077281958599112855550454203671453<170>` ```6499408419146109364123407892520365650564389529650367998093003410933447<70> 2522207537760745644508459697314188321588450345415635912684254650276761118193513717840743019909336699<100>``` ```Sun Mar 5 21:17:20 2017 Msieve v. 1.53 (SVN Unversioned directory) Sun Mar 5 21:17:20 2017 random seeds: ab4f95b2 fa11f463 Sun Mar 5 21:17:20 2017 factoring 16392856905755968789165352920464962591059910057120573674304472507449360467540158873057190752528294688444193530062314391182321862002580084077281958599112855550454203671453 (170 digits) Sun Mar 5 21:17:21 2017 no P-1/P+1/ECM available, skipping Sun Mar 5 21:17:21 2017 commencing number field sieve (170-digit input) Sun Mar 5 21:17:21 2017 R0: -10000000000000000000000000000000000000 Sun Mar 5 21:17:21 2017 R1: 1 Sun Mar 5 21:17:21 2017 A0: -31 Sun Mar 5 21:17:21 2017 A1: 0 Sun Mar 5 21:17:21 2017 A2: 0 Sun Mar 5 21:17:21 2017 A3: 0 Sun Mar 5 21:17:21 2017 A4: 0 Sun Mar 5 21:17:21 2017 A5: 670 Sun Mar 5 21:17:21 2017 skew 0.54, size 2.709e-13, alpha 0.705, combined = 3.808e-11 rroots = 1 Sun Mar 5 21:17:21 2017 Sun Mar 5 21:17:21 2017 commencing relation filtering Sun Mar 5 21:17:21 2017 estimated available RAM is 15929.4 MB Sun Mar 5 21:17:21 2017 commencing duplicate removal, pass 1 Sun Mar 5 21:20:15 2017 found 3385189 hash collisions in 22317759 relations Sun Mar 5 21:20:35 2017 added 360 free relations Sun Mar 5 21:20:35 2017 commencing duplicate removal, pass 2 Sun Mar 5 21:20:42 2017 found 3086178 duplicates and 19231941 unique relations Sun Mar 5 21:20:42 2017 memory use: 98.6 MB Sun Mar 5 21:20:42 2017 reading ideals above 720000 Sun Mar 5 21:20:42 2017 commencing singleton removal, initial pass Sun Mar 5 21:22:54 2017 memory use: 689.0 MB Sun Mar 5 21:22:54 2017 reading all ideals from disk Sun Mar 5 21:22:54 2017 memory use: 613.4 MB Sun Mar 5 21:22:55 2017 keeping 21402156 ideals with weight <= 200, target excess is 116369 Sun Mar 5 21:22:56 2017 commencing in-memory singleton removal Sun Mar 5 21:22:57 2017 begin with 19231941 relations and 21402156 unique ideals Sun Mar 5 21:23:07 2017 reduce to 7778639 relations and 7601973 ideals in 20 passes Sun Mar 5 21:23:07 2017 max relations containing the same ideal: 106 Sun Mar 5 21:23:10 2017 removing 326438 relations and 305599 ideals in 20839 cliques Sun Mar 5 21:23:10 2017 commencing in-memory singleton removal Sun Mar 5 21:23:10 2017 begin with 7452201 relations and 7601973 unique ideals Sun Mar 5 21:23:14 2017 reduce to 7439304 relations and 7283424 ideals in 8 passes Sun Mar 5 21:23:14 2017 max relations containing the same ideal: 102 Sun Mar 5 21:23:16 2017 removing 234320 relations and 213481 ideals in 20839 cliques Sun Mar 5 21:23:16 2017 commencing in-memory singleton removal Sun Mar 5 21:23:16 2017 begin with 7204984 relations and 7283424 unique ideals Sun Mar 5 21:23:20 2017 reduce to 7198639 relations and 7063575 ideals in 9 passes Sun Mar 5 21:23:20 2017 max relations containing the same ideal: 98 Sun Mar 5 21:23:22 2017 relations with 0 large ideals: 2936 Sun Mar 5 21:23:22 2017 relations with 1 large ideals: 825 Sun Mar 5 21:23:22 2017 relations with 2 large ideals: 16031 Sun Mar 5 21:23:22 2017 relations with 3 large ideals: 128225 Sun Mar 5 21:23:22 2017 relations with 4 large ideals: 551164 Sun Mar 5 21:23:22 2017 relations with 5 large ideals: 1371708 Sun Mar 5 21:23:22 2017 relations with 6 large ideals: 2117232 Sun Mar 5 21:23:22 2017 relations with 7+ large ideals: 3010518 Sun Mar 5 21:23:22 2017 commencing 2-way merge Sun Mar 5 21:23:25 2017 reduce to 4191572 relation sets and 4056508 unique ideals Sun Mar 5 21:23:25 2017 commencing full merge Sun Mar 5 21:24:17 2017 memory use: 489.7 MB Sun Mar 5 21:24:17 2017 found 2151027 cycles, need 2138708 Sun Mar 5 21:24:17 2017 weight of 2138708 cycles is about 149854901 (70.07/cycle) Sun Mar 5 21:24:17 2017 distribution of cycle lengths: Sun Mar 5 21:24:17 2017 1 relations: 325986 Sun Mar 5 21:24:17 2017 2 relations: 283754 Sun Mar 5 21:24:18 2017 3 relations: 260271 Sun Mar 5 21:24:18 2017 4 relations: 221372 Sun Mar 5 21:24:18 2017 5 relations: 188663 Sun Mar 5 21:24:18 2017 6 relations: 155444 Sun Mar 5 21:24:18 2017 7 relations: 130891 Sun Mar 5 21:24:18 2017 8 relations: 106799 Sun Mar 5 21:24:18 2017 9 relations: 86757 Sun Mar 5 21:24:18 2017 10+ relations: 378771 Sun Mar 5 21:24:18 2017 heaviest cycle: 27 relations Sun Mar 5 21:24:18 2017 commencing cycle optimization Sun Mar 5 21:24:21 2017 start with 12226457 relations Sun Mar 5 21:24:33 2017 pruned 258181 relations Sun Mar 5 21:24:33 2017 memory use: 413.0 MB Sun Mar 5 21:24:33 2017 distribution of cycle lengths: Sun Mar 5 21:24:33 2017 1 relations: 325986 Sun Mar 5 21:24:33 2017 2 relations: 289579 Sun Mar 5 21:24:33 2017 3 relations: 268500 Sun Mar 5 21:24:33 2017 4 relations: 225240 Sun Mar 5 21:24:33 2017 5 relations: 191733 Sun Mar 5 21:24:33 2017 6 relations: 156277 Sun Mar 5 21:24:33 2017 7 relations: 130278 Sun Mar 5 21:24:33 2017 8 relations: 105721 Sun Mar 5 21:24:33 2017 9 relations: 85408 Sun Mar 5 21:24:33 2017 10+ relations: 359986 Sun Mar 5 21:24:33 2017 heaviest cycle: 27 relations Sun Mar 5 21:24:36 2017 RelProcTime: 435 Sun Mar 5 21:24:36 2017 elapsed time 00:07:16 Sun Mar 05 21:24:36 2017 LatSieveTime: 1310.05 Sun Mar 05 21:24:36 2017 -> Running matrix solving step ... Sun Mar 05 21:24:36 2017 -> ./msieve -s 74441_186/74441_186.dat -l 74441_186/74441_186.log -i 74441_186/74441_186.ini -nf 74441_186/74441_186.fb -t 6 -nc2 Sun Mar 5 21:24:36 2017 Sun Mar 5 21:24:36 2017 Sun Mar 5 21:24:36 2017 Msieve v. 1.53 (SVN Unversioned directory) Sun Mar 5 21:24:36 2017 random seeds: 52303e22 7f06b03c Sun Mar 5 21:24:36 2017 factoring 16392856905755968789165352920464962591059910057120573674304472507449360467540158873057190752528294688444193530062314391182321862002580084077281958599112855550454203671453 (170 digits) Sun Mar 5 21:24:37 2017 no P-1/P+1/ECM available, skipping Sun Mar 5 21:24:37 2017 commencing number field sieve (170-digit input) Sun Mar 5 21:24:37 2017 R0: -10000000000000000000000000000000000000 Sun Mar 5 21:24:37 2017 R1: 1 Sun Mar 5 21:24:37 2017 A0: -31 Sun Mar 5 21:24:37 2017 A1: 0 Sun Mar 5 21:24:37 2017 A2: 0 Sun Mar 5 21:24:37 2017 A3: 0 Sun Mar 5 21:24:37 2017 A4: 0 Sun Mar 5 21:24:37 2017 A5: 670 Sun Mar 5 21:24:37 2017 skew 0.54, size 2.709e-13, alpha 0.705, combined = 3.808e-11 rroots = 1 Sun Mar 5 21:24:37 2017 Sun Mar 5 21:24:37 2017 commencing linear algebra Sun Mar 5 21:24:37 2017 read 2138708 cycles Sun Mar 5 21:24:40 2017 cycles contain 7026088 unique relations Sun Mar 5 21:25:16 2017 read 7026088 relations Sun Mar 5 21:25:21 2017 using 20 quadratic characters above 4294917295 Sun Mar 5 21:25:50 2017 building initial matrix Sun Mar 5 21:26:36 2017 memory use: 864.8 MB Sun Mar 5 21:26:36 2017 read 2138708 cycles Sun Mar 5 21:26:37 2017 matrix is 2138530 x 2138708 (642.3 MB) with weight 190064059 (88.87/col) Sun Mar 5 21:26:37 2017 sparse part has weight 144847595 (67.73/col) Sun Mar 5 21:26:49 2017 filtering completed in 2 passes Sun Mar 5 21:26:50 2017 matrix is 2135690 x 2135868 (642.0 MB) with weight 189965386 (88.94/col) Sun Mar 5 21:26:50 2017 sparse part has weight 144813466 (67.80/col) Sun Mar 5 21:26:54 2017 matrix starts at (0, 0) Sun Mar 5 21:26:54 2017 matrix is 2135690 x 2135868 (642.0 MB) with weight 189965386 (88.94/col) Sun Mar 5 21:26:54 2017 sparse part has weight 144813466 (67.80/col) Sun Mar 5 21:26:54 2017 saving the first 48 matrix rows for later Sun Mar 5 21:26:55 2017 matrix includes 64 packed rows Sun Mar 5 21:26:55 2017 matrix is 2135642 x 2135868 (611.2 MB) with weight 151028840 (70.71/col) Sun Mar 5 21:26:55 2017 sparse part has weight 138867061 (65.02/col) Sun Mar 5 21:26:55 2017 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Sun Mar 5 21:27:00 2017 commencing Lanczos iteration (6 threads) Sun Mar 5 21:27:00 2017 memory use: 490.1 MB Sun Mar 5 21:27:06 2017 linear algebra at 0.1%, ETA 2h20m Sun Mar 5 21:27:08 2017 checkpointing every 920000 dimensions Sun Mar 5 23:29:46 2017 lanczos halted after 33774 iterations (dim = 2135640) Sun Mar 5 23:29:47 2017 recovered 37 nontrivial dependencies Sun Mar 5 23:29:47 2017 BLanczosTime: 7510 Sun Mar 5 23:29:47 2017 elapsed time 02:05:11 Sun Mar 05 23:29:47 2017 -> Running square root step ... Sun Mar 05 23:29:47 2017 -> ./msieve -s 74441_186/74441_186.dat -l 74441_186/74441_186.log -i 74441_186/74441_186.ini -nf 74441_186/74441_186.fb -t 6 -nc3 Sun Mar 5 23:29:47 2017 Sun Mar 5 23:29:47 2017 Sun Mar 5 23:29:47 2017 Msieve v. 1.53 (SVN Unversioned directory) Sun Mar 5 23:29:47 2017 random seeds: fb117467 7ca99de9 Sun Mar 5 23:29:47 2017 factoring 16392856905755968789165352920464962591059910057120573674304472507449360467540158873057190752528294688444193530062314391182321862002580084077281958599112855550454203671453 (170 digits) Sun Mar 5 23:29:48 2017 no P-1/P+1/ECM available, skipping Sun Mar 5 23:29:48 2017 commencing number field sieve (170-digit input) Sun Mar 5 23:29:48 2017 R0: -10000000000000000000000000000000000000 Sun Mar 5 23:29:48 2017 R1: 1 Sun Mar 5 23:29:48 2017 A0: -31 Sun Mar 5 23:29:48 2017 A1: 0 Sun Mar 5 23:29:48 2017 A2: 0 Sun Mar 5 23:29:48 2017 A3: 0 Sun Mar 5 23:29:48 2017 A4: 0 Sun Mar 5 23:29:48 2017 A5: 670 Sun Mar 5 23:29:48 2017 skew 0.54, size 2.709e-13, alpha 0.705, combined = 3.808e-11 rroots = 1 Sun Mar 5 23:29:48 2017 Sun Mar 5 23:29:48 2017 commencing square root phase Sun Mar 5 23:29:48 2017 reading relations for dependency 1 Sun Mar 5 23:29:48 2017 read 1068271 cycles Sun Mar 5 23:29:50 2017 cycles contain 3512278 unique relations Sun Mar 5 23:30:07 2017 read 3512278 relations Sun Mar 5 23:30:17 2017 multiplying 3512278 relations Sun Mar 5 23:32:00 2017 multiply complete, coefficients have about 110.73 million bits Sun Mar 5 23:32:00 2017 initial square root is modulo 88631891 Sun Mar 5 23:34:07 2017 Newton iteration failed to converge Sun Mar 5 23:34:07 2017 algebraic square root failed Sun Mar 5 23:34:07 2017 reading relations for dependency 2 Sun Mar 5 23:34:08 2017 read 1065670 cycles Sun Mar 5 23:34:09 2017 cycles contain 3506588 unique relations Sun Mar 5 23:34:26 2017 read 3506588 relations Sun Mar 5 23:34:36 2017 multiplying 3506588 relations Sun Mar 5 23:36:19 2017 multiply complete, coefficients have about 110.54 million bits Sun Mar 5 23:36:19 2017 initial square root is modulo 85995181 Sun Mar 5 23:38:29 2017 Newton iteration failed to converge Sun Mar 5 23:38:29 2017 algebraic square root failed Sun Mar 5 23:38:29 2017 reading relations for dependency 3 Sun Mar 5 23:38:29 2017 read 1067945 cycles Sun Mar 5 23:38:30 2017 cycles contain 3514334 unique relations Sun Mar 5 23:38:48 2017 read 3514334 relations Sun Mar 5 23:38:57 2017 multiplying 3514334 relations Sun Mar 5 23:40:38 2017 multiply complete, coefficients have about 110.79 million bits Sun Mar 5 23:40:39 2017 initial square root is modulo 89523341 Sun Mar 5 23:42:46 2017 GCD is N, no factor found Sun Mar 5 23:42:46 2017 reading relations for dependency 4 Sun Mar 5 23:42:46 2017 read 1067626 cycles Sun Mar 5 23:42:47 2017 cycles contain 3512808 unique relations Sun Mar 5 23:43:04 2017 read 3512808 relations Sun Mar 5 23:43:15 2017 multiplying 3512808 relations Sun Mar 5 23:44:57 2017 multiply complete, coefficients have about 110.74 million bits Sun Mar 5 23:44:57 2017 initial square root is modulo 88862801 Sun Mar 5 23:47:06 2017 Newton iteration failed to converge Sun Mar 5 23:47:06 2017 algebraic square root failed Sun Mar 5 23:47:06 2017 reading relations for dependency 5 Sun Mar 5 23:47:06 2017 read 1067213 cycles Sun Mar 5 23:47:07 2017 cycles contain 3510652 unique relations Sun Mar 5 23:47:25 2017 read 3510652 relations Sun Mar 5 23:47:36 2017 multiplying 3510652 relations Sun Mar 5 23:49:18 2017 multiply complete, coefficients have about 110.67 million bits Sun Mar 5 23:49:19 2017 initial square root is modulo 87827261 Sun Mar 5 23:51:26 2017 sqrtTime: 1298 Sun Mar 5 23:51:26 2017 p70 factor: 6499408419146109364123407892520365650564389529650367998093003410933447 Sun Mar 5 23:51:26 2017 p100 factor: 2522207537760745644508459697314188321588450345415635912684254650276761118193513717840743019909336699 Sun Mar 5 23:51:26 2017 elapsed time 00:21:39``` `Msieve 1.53 snfs` `64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 12:48:35 UTC 2010 年 11 月 6 日 (土) 21 時 48 分 35 秒 (日本時間)
403e6110Ignacio SantosNovember 6, 2010 12:48:35 UTC 2010 年 11 月 6 日 (土) 21 時 48 分 35 秒 (日本時間)
4511e6632 / 443532Ignacio SantosNovember 6, 2010 12:48:35 UTC 2010 年 11 月 6 日 (土) 21 時 48 分 35 秒 (日本時間)
600Dmitry DomanovJanuary 14, 2013 23:12:09 UTC 2013 年 1 月 15 日 (火) 8 時 12 分 9 秒 (日本時間)

## 67×10189-319

### c148

name 名前 funecm August 6, 2018 14:48:08 UTC 2018 年 8 月 6 日 (月) 23 時 48 分 8 秒 (日本時間) `1916940075870182643646386852848640462802810142868372597938227659704572207575724130655906360250859364328587680732829969841368309026343288417954898283<148>` ```52742678219087518232011918361982912132281<41> 36345140986345363524305750726613489083836981288993625712041716340762312088413234088332583082262615713234243<107>``` ```B1=43000000 B2=4300000000 hW_ Stage1: d = 1847807582410591237555869311325518748626910739518821133774971051939704908905682494622171627507135691885961238153718935836932014011132822827091244631 Stage1 time: 595.628005 seconds Stage2 time: 240.720465 seconds Stage2 gcd: -7179443499639540551 total time: 836.349 seconds Y=143697973780790613896110975955430521633627857728493303509498146050399401660075346738267422930300166340982177821490692561256924197868996562136357951 -------------------------------------------------- @ probable prime factor found: 52742678219087518232011918361982912132281 digits: 41 cofactor: 36345140986345363524305750726613489083836981288993625712041716340762312088413234088332583082262615713234243 total time: 27613.099 seconds``` `g\W_ECM×í°éà’(D_` ```Intel Xeon E5-2640 Red Hat Enterprise Linux Server release 6.3```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 12:49:30 UTC 2010 年 11 月 6 日 (土) 21 時 49 分 30 秒 (日本時間)
403e6110Ignacio SantosNovember 6, 2010 12:49:30 UTC 2010 年 11 月 6 日 (土) 21 時 49 分 30 秒 (日本時間)
4511e6632 / 443532Ignacio SantosNovember 6, 2010 12:49:30 UTC 2010 年 11 月 6 日 (土) 21 時 49 分 30 秒 (日本時間)
600Dmitry DomanovJanuary 9, 2013 22:38:33 UTC 2013 年 1 月 10 日 (木) 7 時 38 分 33 秒 (日本時間)

## 67×10190-319

### c126

name 名前 Markus Tervooren March 3, 2010 20:47:05 UTC 2010 年 3 月 4 日 (木) 5 時 47 分 5 秒 (日本時間) `315609893954065963346800970552184628131645048686820539656658888904350651715749745223640971251298127738955658351756837187621293<126>` ```453623042157188494833456689042930926393009<42> 695753664657761128510720422386966763463167956391897474816209571386200215574720684477<84>``` ```N=315609893954065963346800970552184628131645048686820539656658888904350651715749745223640971251298127738955658351756837187621293 ( 126 digits) Divisors found: r1=453623042157188494833456689042930926393009 (pp42) r2=695753664657761128510720422386966763463167956391897474816209571386200215574720684477 (pp84) Version: Msieve-1.39 Total time: 48.71 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: # Murphy_E = 1.400096e-10, selected by Jeff Gilchrist n: 315609893954065963346800970552184628131645048686820539656658888904350651715749745223640971251298127738955658351756837187621293 Y0: -2045200591272225710195065 Y1: 37530693047023 c0: -9606844287138699891655946024184 c1: -86627021361775285765926408 c2: 655721995325626052628 c3: -915713005939213 c4: 2740378862 c5: 8820 skew: 337556.66 type: gnfs # selected mechanically rlim: 7400000 alim: 7400000 lpbr: 30 lpba: 30 mfbr: 60 mfba: 60 rlambda: 2.6 alambda: 2.6 Factor base limits: 7400000/7400000 Large primes per side: 3 Large prime bits: 30/30 Max factor residue bits: 60/60 Sieved algebraic special-q in [3700000, 7200001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1523005 x 1523253 Total sieving time: 44.81 hours. Total relation processing time: 0.29 hours. Matrix solve time: 3.07 hours. Time per square root: 0.55 hours. Prototype def-par.txt line would be: gnfs,125,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7400000,7400000,30,30,60,60,2.6,2.6,500000 total time: 48.71 hours. --------- CPU info (if available) ---------- [ 0.144009] CPU0: Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b [ 0.235321] CPU1: Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b [ 0.331196] CPU2: Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b [ 0.428180] CPU3: Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b [ 0.004000] Memory: 8197988k/10485760k available (2226k kernel code, 189848k reserved, 1082k data, 392k init) [ 0.083917] Calibrating delay using timer specific routine.. 6004.11 BogoMIPS (lpj=12008231) [ 0.156009] Calibrating delay using timer specific routine.. 8400.06 BogoMIPS (lpj=16800120) [ 0.248015] Calibrating delay using timer specific routine.. 6000.08 BogoMIPS (lpj=12000173) [ 0.347721] Calibrating delay using timer specific routine.. 6000.07 BogoMIPS (lpj=12000153) [ 0.435722] Total of 4 processors activated (26404.33 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 21, 2009 03:03:53 UTC 2009 年 11 月 21 日 (土) 12 時 3 分 53 秒 (日本時間)
4511e6160 / 3963Dmitry DomanovNovember 20, 2009 22:20:05 UTC 2009 年 11 月 21 日 (土) 7 時 20 分 5 秒 (日本時間)

## 67×10196-319

### c162

name 名前 Eric Jeancolas January 19, 2021 18:06:54 UTC 2021 年 1 月 20 日 (水) 3 時 6 分 54 秒 (日本時間) `109034333833216881193057134289240910669799789121347952739155936021629707643111705427974638041150173378431209988418255696568926224537804141384953217316710570472761<162>` ```3852533893942619106589519427714732588664812882569575838932490482171405091<73> 28301979122014409470205971833643042606523788605292570675215566651006997473044711827024371<89>``` ```109034333833216881193057134289240910669799789121347952739155936021629707643111705427974638041150173378431209988418255696568926224537804141384953217316710570472761=3852533893942619106589519427714732588664812882569575838932490482171405091*28301979122014409470205971833643042606523788605292570675215566651006997473044711827024371 cado polynomial n: 109034333833216881193057134289240910669799789121347952739155936021629707643111705427974638041150173378431209988418255696568926224537804141384953217316710570472761 skew: 0.54 type: snfs c0: -31 c5: 670 Y0: 1000000000000000000000000000000000000000 Y1: -1 # f(x) = 670*x^5-31 # g(x) = -x+1000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 13900000 tasks.lim1 = 13900000 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.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 28301979122014409470205971833643042606523788605292570675215566651006997473044711827024371 3852533893942619106589519427714732588664812882569575838932490482171405091 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: 5.89/2.40245 Info:Generate Free Relations: Total cpu/real time for freerel: 102.56/26.4841 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 31869676 Info:Lattice Sieving: Average J: 1893.72 for 5284717 special-q, max bucket fill -bkmult 1.0,1s:1.111790 Info:Lattice Sieving: Total time: 1.38498e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 62.2/165.022 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 164.0s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 544.14/550.224 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 481.7000000000001s Info:Filtering - Singleton removal: Total cpu/real time for purge: 457.66/549.382 Info:Filtering - Merging: Merged matrix has 3083447 rows and total weight 528271698 (171.3 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 433.93/125.606 Info:Filtering - Merging: Total cpu/real time for replay: 120.18/107.729 Info:Linear Algebra: Total cpu/real time for bwc: 172866/44279.6 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 28405.6, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (96768 iterations) Info:Linear Algebra: Lingen CPU time 647.13, WCT time 186.75 Info:Linear Algebra: Mksol: WCT time 15315.48, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (48640 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 106.1/45.422 Info:Square Root: Total cpu/real time for sqrt: 889.09/279.299 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.70525e+06/154626 28301979122014409470205971833643042606523788605292570675215566651006997473044711827024371 3852533893942619106589519427714732588664812882569575838932490482171405091``` `cado-nfs-3.0.0` ```6 x 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
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 12:50:54 UTC 2010 年 11 月 6 日 (土) 21 時 50 分 54 秒 (日本時間)
403e6110Ignacio SantosNovember 6, 2010 12:50:54 UTC 2010 年 11 月 6 日 (土) 21 時 50 分 54 秒 (日本時間)
4511e6672 / 443532Ignacio SantosNovember 6, 2010 12:50:54 UTC 2010 年 11 月 6 日 (土) 21 時 50 分 54 秒 (日本時間)
500Dmitry DomanovJanuary 9, 2013 22:39:24 UTC 2013 年 1 月 10 日 (木) 7 時 39 分 24 秒 (日本時間)
140Dmitry DomanovJanuary 25, 2013 09:09:21 UTC 2013 年 1 月 25 日 (金) 18 時 9 分 21 秒 (日本時間)

## 67×10197-319

### c115

name 名前 Jo Yeong Uk November 10, 2009 15:56:46 UTC 2009 年 11 月 11 日 (水) 0 時 56 分 46 秒 (日本時間) `2274671786621949951263749654269552518055133473554962856563812879331411196076321546565020576595542670694967075946973<115>` ```876417883079711189730801115665794456501<39> 2595419183630539862325486973334714191597155410525075313845472607910755022473<76>``` ```GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM] Input number is 2274671786621949951263749654269552518055133473554962856563812879331411196076321546565020576595542670694967075946973 (115 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6695390019 Step 1 took 3447ms Step 2 took 3775ms ********** Factor found in step 2: 876417883079711189730801115665794456501 Found probable prime factor of 39 digits: 876417883079711189730801115665794456501 Probable prime cofactor 2595419183630539862325486973334714191597155410525075313845472607910755022473 has 76 digits``` `Core 2 Quad Q6600`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)

## 67×10198-319

### c176

name 名前 Dmitry Domanov January 14, 2013 06:22:07 UTC 2013 年 1 月 14 日 (月) 15 時 22 分 7 秒 (日本時間) `66996523060310261385141400668393153447150775764860344019868205768226131661848769555836212249773052474830518036668000629015049882364769565498080591201924499146437961030522838481<176>` `386270755538741551898456545924829063119117<42>` `173444461170425711379559827397538607304136055786974931614169377022796157746851390505487714775242376740427463192042769755387911372551893<135>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=264891915 Step 1 took 91106ms Step 2 took 29935ms ********** Factor found in step 2: 386270755538741551898456545924829063119117 Found probable prime factor of 42 digits: 386270755538741551898456545924829063119117```

### c135

name 名前 Warut Roonguthai March 23, 2013 07:35:38 UTC 2013 年 3 月 23 日 (土) 16 時 35 分 38 秒 (日本時間) `173444461170425711379559827397538607304136055786974931614169377022796157746851390505487714775242376740427463192042769755387911372551893<135>` ```63822557331448783908699877432204027400212379<44> 2717604377237330766915009030902954501665259417350176145712435872632345721301327797120127567<91>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1980678408 Step 1 took 46067ms Step 2 took 27254ms ********** Factor found in step 2: 63822557331448783908699877432204027400212379 Found probable prime factor of 44 digits: 63822557331448783908699877432204027400212379 Probable prime cofactor 2717604377237330766915009030902954501665259417350176145712435872632345721301327797120127567 has 91 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxNovember 3, 2009 12:00:00 UTC 2009 年 11 月 3 日 (火) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosNovember 6, 2010 13:46:32 UTC 2010 年 11 月 6 日 (土) 22 時 46 分 32 秒 (日本時間)
403e6110Ignacio SantosNovember 6, 2010 13:46:32 UTC 2010 年 11 月 6 日 (土) 22 時 46 分 32 秒 (日本時間)
4511e61032 / 443532Ignacio SantosNovember 6, 2010 13:46:32 UTC 2010 年 11 月 6 日 (土) 22 時 46 分 32 秒 (日本時間)
1000Dmitry DomanovJanuary 11, 2013 21:28:07 UTC 2013 年 1 月 12 日 (土) 6 時 28 分 7 秒 (日本時間)

## 67×10203-319

### c181

name 名前 Bob Backstrom September 27, 2021 04:55:22 UTC 2021 年 9 月 27 日 (月) 13 時 55 分 22 秒 (日本時間) `4555283524574867867812960188593034234727168047035556969806831398629727913169126847247138128477432993649533462668601767169453780231492441036681615472822184495992645620823947214688419<181>` ```294533607595416557876650056113685294784686599547589415134258011773<66> 15466090819870689011179284431334647867418234009144993581760542107937030654456270698898212626039994165476178952844703<116>``` ```Number: n N=4555283524574867867812960188593034234727168047035556969806831398629727913169126847247138128477432993649533462668601767169453780231492441036681615472822184495992645620823947214688419 ( 181 digits) SNFS difficulty: 205 digits. Divisors found: Mon Sep 27 14:48:48 2021 p66 factor: 294533607595416557876650056113685294784686599547589415134258011773 Mon Sep 27 14:48:48 2021 p116 factor: 15466090819870689011179284431334647867418234009144993581760542107937030654456270698898212626039994165476178952844703 Mon Sep 27 14:48:48 2021 elapsed time 02:28:39 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.286). Factorization parameters were as follows: # # N = 67x10^203-31 = 74(202)1 # n: 4555283524574867867812960188593034234727168047035556969806831398629727913169126847247138128477432993649533462668601767169453780231492441036681615472822184495992645620823947214688419 m: 10000000000000000000000000000000000 deg: 6 c6: 67 c0: -310 skew: 1.29 # Murphy_E = 6.946e-12 type: snfs lss: 1 rlim: 18900000 alim: 18900000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 18900000/18900000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 51050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 11051261 hash collisions in 67756699 relations (58322036 unique) Msieve: matrix is 2397607 x 2397836 (828.7 MB) Sieving start time : 2021/09/26 16:44:30 Sieving end time : 2021/09/27 11:37:07 Total sieving time: 18hrs 52min 37secs. Total relation processing time: 2hrs 4min 23sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 6min 59sec. Prototype def-par.txt line would be: snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119850] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved) [ 0.154026] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.44 BogoMIPS (lpj=12798892) [ 0.150212] smpboot: Total of 16 processors activated (102391.13 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:08:17 UTC 2013 年 1 月 3 日 (木) 0 時 8 分 17 秒 (日本時間)
403e63000Warut RoonguthaiJanuary 3, 2013 10:57:54 UTC 2013 年 1 月 3 日 (木) 19 時 57 分 54 秒 (日本時間)

## 67×10204-319

### c175

name 名前 Warut Roonguthai January 3, 2013 02:38:34 UTC 2013 年 1 月 3 日 (木) 11 時 38 分 34 秒 (日本時間) `8104277310764010017537019160654764954960678179307531912918721004059744905755994910701475209277414468415063569544875025035331669456264329023284141931705222256362148494011520673<175>` ```5550444302556379391880786223859165728094569<43> 1460113257425429271750862612675578324983619726818061455269335309132223273111852886974469151265077175633463610251341854395718960977017<133>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2936816475 Step 1 took 26146ms Step 2 took 12105ms ********** Factor found in step 2: 5550444302556379391880786223859165728094569 Found probable prime factor of 43 digits: 5550444302556379391880786223859165728094569 Probable prime cofactor 1460113257425429271750862612675578324983619726818061455269335309132223273111852886974469151265077175633463610251341854395718960977017 has 133 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:08:35 UTC 2013 年 1 月 3 日 (木) 0 時 8 分 35 秒 (日本時間)

## 67×10206-319

### c171

composite cofactor 合成数の残り `275024239037223635535034150717056800576867417367649004561409753382834805553426653216950686513963099742456295305475150439246056975701695186580392749642018954825838014775071<171>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:09:01 UTC 2013 年 1 月 3 日 (木) 0 時 9 分 1 秒 (日本時間)
403e62100Warut RoonguthaiJanuary 3, 2013 00:50:03 UTC 2013 年 1 月 3 日 (木) 9 時 50 分 3 秒 (日本時間)

## 67×10208-319

### c193

name 名前 Warut Roonguthai December 31, 2012 20:26:33 UTC 2013 年 1 月 1 日 (火) 5 時 26 分 33 秒 (日本時間) `4611264540635844627547995641723792105553538700616861371581741781243719482624646700558850097152834410520792221381020419789742399783264802655381212671511946199996389408739301595156636158705483003<193>` ```3273074389195125445044386384553085563461<40> 1408848071360147299305369216406471144402157815023087394212586410745208839668589305590680177252250681868418398502694501832857341084359304784800258859599423<154>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2465511360 Step 1 took 12387ms Step 2 took 7145ms ********** Factor found in step 2: 3273074389195125445044386384553085563461 Found probable prime factor of 40 digits: 3273074389195125445044386384553085563461 Probable prime cofactor 1408848071360147299305369216406471144402157815023087394212586410745208839668589305590680177252250681868418398502694501832857341084359304784800258859599423 has 154 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)

## 67×10210-319

### c190

composite cofactor 合成数の残り `2738975074193236637929330129677628364684469833750196592703450255315791529698795107705318248707626325658104491078113941428311429740148950010430326362195245567590438680561079596758976896369319<190>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:09:18 UTC 2013 年 1 月 3 日 (木) 0 時 9 分 18 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:12:09 UTC 2013 年 1 月 4 日 (金) 3 時 12 分 9 秒 (日本時間)
4511e6720 / 4194Dmitry DomanovJanuary 9, 2013 19:51:23 UTC 2013 年 1 月 10 日 (木) 4 時 51 分 23 秒 (日本時間)

## 67×10213-319

### c198

composite cofactor 合成数の残り `486699195079559547562274099802162444371958813764462382860088154845391522668356701027482553794419556133703337396531056222994092035908021958489009583392984572562210191801693888832166030173373659704583<198>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:09:27 UTC 2013 年 1 月 3 日 (木) 0 時 9 分 27 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:12:23 UTC 2013 年 1 月 4 日 (金) 3 時 12 分 23 秒 (日本時間)
4511e6750 / 4194Dmitry DomanovJanuary 9, 2013 19:51:39 UTC 2013 年 1 月 10 日 (木) 4 時 51 分 39 秒 (日本時間)

## 67×10215-319

### c207

name 名前 Dmitry Domanov January 5, 2013 15:33:43 UTC 2013 年 1 月 6 日 (日) 0 時 33 分 43 秒 (日本時間) `488604803583898673685403785989806405275279781890835366233235722790009554550981599899996919390469057571151846993493852418955611475179337855329514335326231926177322140205012600019982142484765311886960975901739<207>` `2909001139311357344364047776191758029<37>` `167963084297576183866635389592603991839977622046594059571931125499266425139362748984617422647607086599965396083375427072325369527165662713633624416963230909524819794955991<171>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=405002397 Step 1 took 26775ms Step 2 took 10318ms ********** Factor found in step 2: 2909001139311357344364047776191758029 Found probable prime factor of 37 digits: 2909001139311357344364047776191758029```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:09:41 UTC 2013 年 1 月 3 日 (木) 0 時 9 分 41 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:12:39 UTC 2013 年 1 月 4 日 (金) 3 時 12 分 39 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 11, 2013 21:22:53 UTC 2013 年 1 月 12 日 (土) 6 時 22 分 53 秒 (日本時間)

## 67×10216-319

### c217

name 名前 Ben Meekins December 5, 2015 03:41:25 UTC 2015 年 12 月 5 日 (土) 12 時 41 分 25 秒 (日本時間) `7444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<217>` ```1655810674018581740331638902180622724210289919633748558063431<61> 644695213247227056936731100840643890828462672918497615471771647<63> 6973762770356945230150643711174115254257083502158869533014422660972607024991784624525626306913<94>``` ```Number: 74441_216 N = 7444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441 (217 digits) SNFS difficulty: 218 digits. Divisors found: r1=1655810674018581740331638902180622724210289919633748558063431 (pp61) r2=644695213247227056936731100840643890828462672918497615471771647 (pp63) r3=6973762770356945230150643711174115254257083502158869533014422660972607024991784624525626306913 (pp94) Version: Msieve v. 1.53 (SVN unknown) Total time: 417.30 hours. Factorization parameters were as follows: n: 7444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441 m: 1000000000000000000000000000000000000 deg: 6 c6: 67 c0: -31 skew: 0.88 # Murphy_E = 2.528e-12 type: snfs lss: 1 rlim: 30000000 alim: 30000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 Factor base limits: 30000000/30000000 Large primes per side: 3 Large prime bits: 29/29 Sieved rational special-q in [0, 0) Total raw relations: 51852233 Relations: 7657546 relations Pruned matrix : 5297677 x 5297902 Polynomial selection time: 0.00 hours. Total sieving time: 391.62 hours. Total relation processing time: 0.43 hours. Matrix solve time: 24.71 hours. time per square root: 0.53 hours. Prototype def-par.txt line would be: snfs,218,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,200000 total time: 417.30 hours. x86_64 Linux-3.13.0-68-generic-x86_64-with-Ubuntu-14.04-trusty processors: 4, speed: 2.10GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:10:11 UTC 2013 年 1 月 3 日 (木) 0 時 10 分 11 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:13:35 UTC 2013 年 1 月 4 日 (金) 3 時 13 分 35 秒 (日本時間)
4511e650502000Dmitry DomanovJanuary 11, 2013 21:23:11 UTC 2013 年 1 月 12 日 (土) 6 時 23 分 11 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:42 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 42 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:55 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 55 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:22 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 22 秒 (日本時間)
5043e63000 / 6374Serge BatalovDecember 14, 2014 09:59:05 UTC 2014 年 12 月 14 日 (日) 18 時 59 分 5 秒 (日本時間)

## 67×10217-319

### c193

name 名前 Dmitry Domanov January 5, 2013 15:34:40 UTC 2013 年 1 月 6 日 (日) 0 時 34 分 40 秒 (日本時間) `1534348582056720184740397791311612152302730853959229462423092148230983235673725452114348886067346046194932012726000216000378895456174156155633653573957750648982659700108774620235431184476758691<193>` `162649909670237943922598091075734902009<39>` `9433442571025779250968852358037354286657704183138734140979319168810506505544590616440940063624315581837063984531898464262136044171756458326291509868562299<154>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1927432481 Step 1 took 22807ms Step 2 took 9629ms ********** Factor found in step 2: 162649909670237943922598091075734902009 Found probable prime factor of 39 digits: 162649909670237943922598091075734902009```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:10:19 UTC 2013 年 1 月 3 日 (木) 0 時 10 分 19 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:13:57 UTC 2013 年 1 月 4 日 (金) 3 時 13 分 57 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 11, 2013 21:23:26 UTC 2013 年 1 月 12 日 (土) 6 時 23 分 26 秒 (日本時間)

## 67×10220-319

### c163

name 名前 Erik Branger April 29, 2019 15:11:56 UTC 2019 年 4 月 30 日 (火) 0 時 11 分 56 秒 (日本時間) `8387545870633194037717433315644191885232819885200842817130221285358217674367253211022315867030272382304112164163301181879545895876500132477165793583867780870631977<163>` ```584511622347513231083567700255998196792293052514049333<54> 14349664831209285428472894264890802256888044776733315442786201404104782347999281404756075238519677318564316069<110>``` ```Number: 74441_220 N = 8387545870633194037717433315644191885232819885200842817130221285358217674367253211022315867030272382304112164163301181879545895876500132477165793583867780870631977 (163 digits) SNFS difficulty: 222 digits. Divisors found: r1=584511622347513231083567700255998196792293052514049333 (pp54) r2=14349664831209285428472894264890802256888044776733315442786201404104782347999281404756075238519677318564316069 (pp110) Version: Msieve v. 1.52 (SVN unknown) Total time: 54.13 hours. Factorization parameters were as follows: n: 8387545870633194037717433315644191885232819885200842817130221285358217674367253211022315867030272382304112164163301181879545895876500132477165793583867780870631977 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 67 c0: -31 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 536870912 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/536870912 Large primes per side: 3 Large prime bits: 29/28 Relations: 7524566 relations Pruned matrix : 6785377 x 6785602 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 26.85 hours. Total relation processing time: 0.30 hours. Matrix solve time: 26.54 hours. time per square root: 0.43 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000 total time: 54.13 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.17763-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
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 1, 2013 17:35:34 UTC 2013 年 1 月 2 日 (水) 2 時 35 分 34 秒 (日本時間)
403e63500Warut RoonguthaiJanuary 1, 2013 17:35:34 UTC 2013 年 1 月 2 日 (水) 2 時 35 分 34 秒 (日本時間)

## 67×10221-319

### c222

name 名前 matsui April 24, 2013 22:01:42 UTC 2013 年 4 月 25 日 (木) 7 時 1 分 42 秒 (日本時間) `248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<222>` ```166732722403673600891804633372672417982781322302779413771749867<63> 2542793918413255119681348971513246180356170669153144113113826648318227<70> 585300685980801135201084726039664842071280831564722265269633096182903121657392597428234083<90>``` ```N=248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147 ( 222 digits) SNFS difficulty: 223 digits. Divisors found: r1=166732722403673600891804633372672417982781322302779413771749867 (pp63) r2=2542793918413255119681348971513246180356170669153144113113826648318227 (pp70) r3=585300685980801135201084726039664842071280831564722265269633096182903121657392597428234083 (pp90) Version: Msieve v. 1.52 (SVN Unversioned directory) Total time: Scaled time: 315.98 units (timescale=1.877). Factorization parameters were as follows: n: 248148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147 m: 10000000000000000000000000000000000000 deg: 6 c6: 67 c0: -310 skew: 1.29 # Murphy_E = 1.941e-12 type: snfs lss: 1 rlim: 38000000 alim: 38000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 qintsize: 640000 Factor base limits: 38000000/38000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved rational special-q in [19000000, 64440001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : submatrix x not Total sieving time: Total relation processing time: Matrix solve time: Time per square root: Prototype def-par.txt line would be: snfs,223.000,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,58,58,2.6,2.6,100000 total time:```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:10:45 UTC 2013 年 1 月 3 日 (木) 0 時 10 分 45 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:14:23 UTC 2013 年 1 月 4 日 (金) 3 時 14 分 23 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 11, 2013 21:26:08 UTC 2013 年 1 月 12 日 (土) 6 時 26 分 8 秒 (日本時間)

## 67×10223-319

### c221

name 名前 Bob Backstrom May 3, 2019 14:55:52 UTC 2019 年 5 月 3 日 (金) 23 時 55 分 52 秒 (日本時間) `64565866820853811313481738460055892839934470463525103594487809578876361183386335164305676014262310879830394140888503421027271851209405415823455719379396742796569336031608364652597089717644791365519899778355979570203334297<221>` ```16779830091683224604923970317482612717709117277317877<53> 3471279494573166816135457175962553858994851934215033129177537663099<67> 1108474850554729424432794394733929136795592438619229006370865679348544709615476393499407722593810491439<103>``` ```Number: n N=64565866820853811313481738460055892839934470463525103594487809578876361183386335164305676014262310879830394140888503421027271851209405415823455719379396742796569336031608364652597089717644791365519899778355979570203334297 ( 221 digits) SNFS difficulty: 224 digits. Divisors found: Sat May 4 00:37:20 2019 found factor: 16779830091683224604923970317482612717709117277317877 Sat May 4 00:50:49 2019 p53 factor: 16779830091683224604923970317482612717709117277317877 Sat May 4 00:50:49 2019 p67 factor: 3471279494573166816135457175962553858994851934215033129177537663099 Sat May 4 00:50:49 2019 p103 factor: 1108474850554729424432794394733929136795592438619229006370865679348544709615476393499407722593810491439 Sat May 4 00:50:49 2019 elapsed time 15:36:42 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.123). Factorization parameters were as follows: # # N = 67x10^223-31 = 74(222)1 # n: 64565866820853811313481738460055892839934470463525103594487809578876361183386335164305676014262310879830394140888503421027271851209405415823455719379396742796569336031608364652597089717644791365519899778355979570203334297 m: 10000000000000000000000000000000000000 deg: 6 c6: 670 c0: -31 skew: 0.60 # Murphy_E = 1.358e-12 type: snfs lss: 1 rlim: 39000000 alim: 39000000 lpbr: 29 lpba: 29 mfbr: 59 mfba: 59 rlambda: 2.6 alambda: 2.6 Factor base limits: 39000000/39000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 59/59 Sieved special-q in [100000, 117100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 13735896 hash collisions in 65328301 relations (52869448 unique) Msieve: matrix is 5657752 x 5657977 (1978.1 MB) Sieving start time: 2019/04/30 20:45:35 Sieving end time : 2019/05/03 09:11:40 Total sieving time: 60hrs 26min 5secs. Total relation processing time: 14hrs 48min 24sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 26min 47sec. Prototype def-par.txt line would be: snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16285084K/16703460K available (12300K kernel code, 2473K rwdata, 4276K rodata, 2408K init, 2416K bss, 418376K reserved, 0K cma-reserved) [ 0.076569] x86/mm: Memory block size: 128MB [ 0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.92 BogoMIPS (lpj=11977856) [ 0.074217] smpboot: Total of 16 processors activated (95822.84 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:10:56 UTC 2013 年 1 月 3 日 (木) 0 時 10 分 56 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:14:40 UTC 2013 年 1 月 4 日 (金) 3 時 14 分 40 秒 (日本時間)
4511e651501000Dmitry DomanovJanuary 11, 2013 21:26:30 UTC 2013 年 1 月 12 日 (土) 6 時 26 分 30 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:28 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 28 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:28 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 28 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:45 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 45 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:41 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 41 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:34 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 34 秒 (日本時間)

## 67×10225-319

### c214

name 名前 Warut Roonguthai December 31, 2012 20:38:55 UTC 2013 年 1 月 1 日 (火) 5 時 38 分 55 秒 (日本時間) `3224506033776686553427014586119114928139779022795388226257694052950284596598696275511975409243519746422380140816777010860906901746950730940069123881585080704321005282111801287276117632336166713666741926488830848287<214>` `255379704123063586210211859342289029915887<42>` `12626320657897098403035646464286652368466470699567084125972202152056667594501794449414121013997857124214200411238871959744078397339839577376885746855781104446484354137365201<173>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3624834425 Step 1 took 14165ms Step 2 took 7784ms ********** Factor found in step 2: 255379704123063586210211859342289029915887 Found probable prime factor of 42 digits: 255379704123063586210211859342289029915887 Composite cofactor 12626320657897098403035646464286652368466470699567084125972202152056667594501794449414121013997857124214200411238871959744078397339839577376885746855781104446484354137365201 has 173 digits``` `GMP-ECM 6.3`

### c173

name 名前 Warut Roonguthai January 1, 2013 14:32:43 UTC 2013 年 1 月 1 日 (火) 23 時 32 分 43 秒 (日本時間) `12626320657897098403035646464286652368466470699567084125972202152056667594501794449414121013997857124214200411238871959744078397339839577376885746855781104446484354137365201<173>` `2145634363810367375970107932170671<34>` `5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431<139>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1308385864 Step 1 took 7800ms Step 2 took 5928ms ********** Factor found in step 2: 2145634363810367375970107932170671 Found probable prime factor of 34 digits: 2145634363810367375970107932170671 Composite cofactor 5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431 has 139 digits``` `GMP-ECM 6.3`

### c139

name 名前 Robert Backstrom November 2, 2013 16:18:00 UTC 2013 年 11 月 3 日 (日) 1 時 18 分 0 秒 (日本時間) `5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431<139>` ```229291042424684699151473078301871112361955199<45> 25664571029458062564161509806523607376798025345367301205413688738076490365444296979698170682369<95>``` ```Number: n N=5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431 ( 139 digits) Divisors found: Sun Nov 3 03:06:26 2013 prp45 factor: 229291042424684699151473078301871112361955199 Sun Nov 3 03:06:26 2013 prp95 factor: 25664571029458062564161509806523607376798025345367301205413688738076490365444296979698170682369 Sun Nov 3 03:06:26 2013 elapsed time 03:38:07 (Msieve 1.44 - dependency 1) Version: GGNFS-0.77.1-20060513-nocona Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.744). Factorization parameters were as follows: # Murphy_E = 2.418e-11, selected by Erik Branger # # 74(224)1 - c139 # n: 5884656244726802487134793450144149326058963687538776843195662535311597994619518003754575335718636738839980046924494206736279153600837186431 Y0: -1029034478456876510773603727 Y1: 182436546453271 c0: 1438244916518611108697053702027200 c1: 2822712086933657002750747280 c2: -21156245036927798221812 c3: -21174931511401554 c4: 85491764851 c5: 5100 skew: 613864.24 type: gnfs # selected mechanically rlim: 16900000 alim: 16900000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 16900000/16900000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 12450000) Primes: RFBsize:1085243, AFBsize:1084643, Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3484971 hash collisions in 28776086 relations (26309193 unique) Msieve: matrix is 1553519 x 1553745 (445.6 MB) Total sieving time: 0.00 hours. Total relation processing time: 2hrs 56min 8sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 27min 46sec. Prototype def-par.txt line would be: gnfs,138,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,16900000,16900000,28,28,55,55,2.6,2.6,60000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:02:54 UTC 2013 年 1 月 3 日 (木) 0 時 2 分 54 秒 (日本時間)
403e64600Warut RoonguthaiJanuary 2, 2013 15:02:54 UTC 2013 年 1 月 3 日 (木) 0 時 2 分 54 秒 (日本時間)
4511e6160 / 3398Ignacio SantosFebruary 25, 2013 10:12:36 UTC 2013 年 2 月 25 日 (月) 19 時 12 分 36 秒 (日本時間)

## 67×10226-319

### c201

composite cofactor 合成数の残り `754471255786699758342626861486477537664447348159539886810884422834156596025441170031296811038176304070919310867190064402611743364693165856345432441808350823996389007148164473926416384294015585816153631<201>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:11:04 UTC 2013 年 1 月 3 日 (木) 0 時 11 分 4 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:15:12 UTC 2013 年 1 月 4 日 (金) 3 時 15 分 12 秒 (日本時間)
4511e6720 / 4194Dmitry DomanovJanuary 9, 2013 19:52:46 UTC 2013 年 1 月 10 日 (木) 4 時 52 分 46 秒 (日本時間)

## 67×10228-319

### c211

composite cofactor 合成数の残り `8518312950575763665176870143209967005688449009786003528351202924101848019860742944932778375587172369100647197293599468746435655396060323732029967232182153382092293055768038944627534241770760762447300228551429187<211>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:11:12 UTC 2013 年 1 月 3 日 (木) 0 時 11 分 12 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:15:27 UTC 2013 年 1 月 4 日 (金) 3 時 15 分 27 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 11, 2013 21:27:01 UTC 2013 年 1 月 12 日 (土) 6 時 27 分 1 秒 (日本時間)

## 67×10229-319

### c159

name 名前 NFS@Home June 2, 2022 13:22:11 UTC 2022 年 6 月 2 日 (木) 22 時 22 分 11 秒 (日本時間) `168478057961570960095898336896189374203798114909138066117144033100210029830939353176585883396636122737610694470202330839716155149833116944914723859995246350529<159>` ```313995275700669197331291543408719159410763843627648676084858793<63> 536562397589002623237112558491221519973084034450045312759369291829190038696077180645567988766553<96>``` ```Wed Jun 01 06:40:21 2022 Wed Jun 01 06:40:21 2022 Wed Jun 01 06:40:21 2022 Msieve v. 1.53 (SVN 988) Wed Jun 01 06:40:21 2022 random seeds: 79f32ac4 503ead86 Wed Jun 01 06:40:21 2022 factoring 168478057961570960095898336896189374203798114909138066117144033100210029830939353176585883396636122737610694470202330839716155149833116944914723859995246350529 (159 digits) Wed Jun 01 06:40:21 2022 searching for 15-digit factors Wed Jun 01 06:40:21 2022 commencing number field sieve (159-digit input) Wed Jun 01 06:40:21 2022 R0: -4851266826518136623665645567097 Wed Jun 01 06:40:21 2022 R1: 2596355756973773 Wed Jun 01 06:40:21 2022 A0: 50520435350264847218171939930231744880 Wed Jun 01 06:40:21 2022 A1: 49162713281051789945666535814076 Wed Jun 01 06:40:21 2022 A2: 19511259867816594066750370 Wed Jun 01 06:40:21 2022 A3: 1322706128831064626 Wed Jun 01 06:40:21 2022 A4: -947464968255 Wed Jun 01 06:40:21 2022 A5: 62700 Wed Jun 01 06:40:21 2022 skew 5300630.74, size 1.946e-015, alpha -6.050, combined = 1.685e-012 rroots = 1 Wed Jun 01 06:40:21 2022 Wed Jun 01 06:40:21 2022 commencing relation filtering Wed Jun 01 06:40:21 2022 setting target matrix density to 130.0 Wed Jun 01 06:40:21 2022 estimated available RAM is 16151.1 MB Wed Jun 01 06:40:21 2022 commencing duplicate removal, pass 1 Wed Jun 01 06:40:45 2022 error -15 reading relation 2841708 Wed Jun 01 06:42:54 2022 error -9 reading relation 18492003 Wed Jun 01 06:49:17 2022 error -9 reading relation 64181894 Wed Jun 01 06:52:34 2022 error -9 reading relation 87412915 Wed Jun 01 06:53:25 2022 error -15 reading relation 93661774 Wed Jun 01 06:53:32 2022 error -9 reading relation 94476052 Wed Jun 01 06:53:41 2022 error -15 reading relation 95505347 Wed Jun 01 06:54:07 2022 error -15 reading relation 98681857 Wed Jun 01 06:54:17 2022 error -15 reading relation 99993394 Wed Jun 01 06:54:17 2022 error -5 reading relation 99995377 Wed Jun 01 06:54:17 2022 error -5 reading relation 100004377 Wed Jun 01 06:54:18 2022 error -15 reading relation 100050029 Wed Jun 01 06:55:12 2022 error -1 reading relation 107157687 Wed Jun 01 06:57:13 2022 error -15 reading relation 122570003 Wed Jun 01 06:57:43 2022 error -5 reading relation 126343688 Wed Jun 01 06:57:43 2022 error -15 reading relation 126380464 Wed Jun 01 06:59:11 2022 skipped 6 relations with composite factors Wed Jun 01 06:59:11 2022 found 25480304 hash collisions in 137698190 relations Wed Jun 01 06:59:34 2022 added 122151 free relations Wed Jun 01 06:59:34 2022 commencing duplicate removal, pass 2 Wed Jun 01 07:00:59 2022 found 23449835 duplicates and 114370506 unique relations Wed Jun 01 07:00:59 2022 memory use: 660.8 MB Wed Jun 01 07:00:59 2022 reading ideals above 79888384 Wed Jun 01 07:00:59 2022 commencing singleton removal, initial pass Wed Jun 01 07:13:11 2022 memory use: 2756.0 MB Wed Jun 01 07:13:11 2022 reading all ideals from disk Wed Jun 01 07:13:14 2022 memory use: 1893.3 MB Wed Jun 01 07:13:20 2022 commencing in-memory singleton removal Wed Jun 01 07:13:26 2022 begin with 114370506 relations and 84235830 unique ideals Wed Jun 01 07:14:16 2022 reduce to 83969160 relations and 51399325 ideals in 11 passes Wed Jun 01 07:14:16 2022 max relations containing the same ideal: 51 Wed Jun 01 07:14:23 2022 reading ideals above 720000 Wed Jun 01 07:14:23 2022 commencing singleton removal, initial pass Wed Jun 01 07:26:31 2022 memory use: 1506.0 MB Wed Jun 01 07:26:31 2022 reading all ideals from disk Wed Jun 01 07:26:37 2022 memory use: 3112.3 MB Wed Jun 01 07:26:50 2022 keeping 60285186 ideals with weight <= 200, target excess is 443804 Wed Jun 01 07:27:02 2022 commencing in-memory singleton removal Wed Jun 01 07:27:13 2022 begin with 83969161 relations and 60285186 unique ideals Wed Jun 01 07:28:08 2022 reduce to 83965726 relations and 60281749 ideals in 6 passes Wed Jun 01 07:28:08 2022 max relations containing the same ideal: 200 Wed Jun 01 07:28:57 2022 removing 7718070 relations and 5718070 ideals in 2000000 cliques Wed Jun 01 07:29:00 2022 commencing in-memory singleton removal Wed Jun 01 07:29:12 2022 begin with 76247656 relations and 60281749 unique ideals Wed Jun 01 07:30:22 2022 reduce to 75685008 relations and 53984649 ideals in 7 passes Wed Jun 01 07:30:22 2022 max relations containing the same ideal: 196 Wed Jun 01 07:31:11 2022 removing 6152970 relations and 4152970 ideals in 2000000 cliques Wed Jun 01 07:31:13 2022 commencing in-memory singleton removal Wed Jun 01 07:31:22 2022 begin with 69532038 relations and 53984649 unique ideals Wed Jun 01 07:32:15 2022 reduce to 69150612 relations and 49440380 ideals in 7 passes Wed Jun 01 07:32:15 2022 max relations containing the same ideal: 186 Wed Jun 01 07:32:55 2022 removing 5745761 relations and 3745761 ideals in 2000000 cliques Wed Jun 01 07:32:58 2022 commencing in-memory singleton removal Wed Jun 01 07:33:06 2022 begin with 63404851 relations and 49440380 unique ideals Wed Jun 01 07:33:47 2022 reduce to 63073221 relations and 45354013 ideals in 6 passes Wed Jun 01 07:33:47 2022 max relations containing the same ideal: 178 Wed Jun 01 07:34:24 2022 removing 5531601 relations and 3531601 ideals in 2000000 cliques Wed Jun 01 07:34:26 2022 commencing in-memory singleton removal Wed Jun 01 07:34:33 2022 begin with 57541620 relations and 45354013 unique ideals Wed Jun 01 07:35:17 2022 reduce to 57229230 relations and 41501104 ideals in 7 passes Wed Jun 01 07:35:17 2022 max relations containing the same ideal: 167 Wed Jun 01 07:35:50 2022 removing 5397377 relations and 3397377 ideals in 2000000 cliques Wed Jun 01 07:35:52 2022 commencing in-memory singleton removal Wed Jun 01 07:35:59 2022 begin with 51831853 relations and 41501104 unique ideals Wed Jun 01 07:36:31 2022 reduce to 51524026 relations and 37786671 ideals in 6 passes Wed Jun 01 07:36:31 2022 max relations containing the same ideal: 155 Wed Jun 01 07:36:58 2022 removing 5299663 relations and 3299663 ideals in 2000000 cliques Wed Jun 01 07:36:59 2022 commencing in-memory singleton removal Wed Jun 01 07:37:04 2022 begin with 46224363 relations and 37786671 unique ideals Wed Jun 01 07:37:33 2022 reduce to 45909217 relations and 34161413 ideals in 6 passes Wed Jun 01 07:37:33 2022 max relations containing the same ideal: 145 Wed Jun 01 07:38:01 2022 removing 5237604 relations and 3237604 ideals in 2000000 cliques Wed Jun 01 07:38:02 2022 commencing in-memory singleton removal Wed Jun 01 07:38:07 2022 begin with 40671613 relations and 34161413 unique ideals Wed Jun 01 07:38:33 2022 reduce to 40342356 relations and 30582688 ideals in 6 passes Wed Jun 01 07:38:33 2022 max relations containing the same ideal: 130 Wed Jun 01 07:38:56 2022 removing 5195262 relations and 3195262 ideals in 2000000 cliques Wed Jun 01 07:38:58 2022 commencing in-memory singleton removal Wed Jun 01 07:39:01 2022 begin with 35147094 relations and 30582688 unique ideals Wed Jun 01 07:39:25 2022 reduce to 34789309 relations and 27015431 ideals in 7 passes Wed Jun 01 07:39:25 2022 max relations containing the same ideal: 119 Wed Jun 01 07:39:44 2022 removing 5164659 relations and 3164659 ideals in 2000000 cliques Wed Jun 01 07:39:45 2022 commencing in-memory singleton removal Wed Jun 01 07:39:48 2022 begin with 29624650 relations and 27015431 unique ideals Wed Jun 01 07:40:11 2022 reduce to 29226165 relations and 23433793 ideals in 7 passes Wed Jun 01 07:40:11 2022 max relations containing the same ideal: 106 Wed Jun 01 07:40:29 2022 removing 5148609 relations and 3148609 ideals in 2000000 cliques Wed Jun 01 07:40:30 2022 commencing in-memory singleton removal Wed Jun 01 07:40:33 2022 begin with 24077556 relations and 23433793 unique ideals Wed Jun 01 07:40:50 2022 reduce to 23616229 relations and 19798878 ideals in 7 passes Wed Jun 01 07:40:50 2022 max relations containing the same ideal: 94 Wed Jun 01 07:41:04 2022 removing 5138015 relations and 3138015 ideals in 2000000 cliques Wed Jun 01 07:41:06 2022 commencing in-memory singleton removal Wed Jun 01 07:41:08 2022 begin with 18478214 relations and 19798878 unique ideals Wed Jun 01 07:41:21 2022 reduce to 17913032 relations and 16057848 ideals in 7 passes Wed Jun 01 07:41:21 2022 max relations containing the same ideal: 77 Wed Jun 01 07:41:32 2022 removing 3638472 relations and 2298101 ideals in 1340371 cliques Wed Jun 01 07:41:33 2022 commencing in-memory singleton removal Wed Jun 01 07:41:35 2022 begin with 14274560 relations and 16057848 unique ideals Wed Jun 01 07:41:46 2022 reduce to 13814276 relations and 13269948 ideals in 8 passes Wed Jun 01 07:41:46 2022 max relations containing the same ideal: 67 Wed Jun 01 07:41:55 2022 removing 157820 relations and 128305 ideals in 29515 cliques Wed Jun 01 07:41:55 2022 commencing in-memory singleton removal Wed Jun 01 07:41:57 2022 begin with 13656456 relations and 13269948 unique ideals Wed Jun 01 07:42:03 2022 reduce to 13654762 relations and 13139944 ideals in 5 passes Wed Jun 01 07:42:03 2022 max relations containing the same ideal: 67 Wed Jun 01 07:42:05 2022 relations with 0 large ideals: 1457 Wed Jun 01 07:42:05 2022 relations with 1 large ideals: 8535 Wed Jun 01 07:42:05 2022 relations with 2 large ideals: 115869 Wed Jun 01 07:42:05 2022 relations with 3 large ideals: 663181 Wed Jun 01 07:42:05 2022 relations with 4 large ideals: 1971493 Wed Jun 01 07:42:05 2022 relations with 5 large ideals: 3412830 Wed Jun 01 07:42:05 2022 relations with 6 large ideals: 3672600 Wed Jun 01 07:42:05 2022 relations with 7+ large ideals: 3808797 Wed Jun 01 07:42:05 2022 commencing 2-way merge Wed Jun 01 07:42:17 2022 reduce to 9441911 relation sets and 8927093 unique ideals Wed Jun 01 07:42:17 2022 commencing full merge Wed Jun 01 07:46:44 2022 memory use: 1138.2 MB Wed Jun 01 07:46:47 2022 found 4141635 cycles, need 4119293 Wed Jun 01 07:46:47 2022 weight of 4119293 cycles is about 536230514 (130.18/cycle) Wed Jun 01 07:46:47 2022 distribution of cycle lengths: Wed Jun 01 07:46:47 2022 1 relations: 69655 Wed Jun 01 07:46:47 2022 2 relations: 186160 Wed Jun 01 07:46:47 2022 3 relations: 251536 Wed Jun 01 07:46:47 2022 4 relations: 285887 Wed Jun 01 07:46:47 2022 5 relations: 311397 Wed Jun 01 07:46:47 2022 6 relations: 319027 Wed Jun 01 07:46:47 2022 7 relations: 320191 Wed Jun 01 07:46:47 2022 8 relations: 307519 Wed Jun 01 07:46:47 2022 9 relations: 289641 Wed Jun 01 07:46:47 2022 10+ relations: 1778280 Wed Jun 01 07:46:47 2022 heaviest cycle: 28 relations Wed Jun 01 07:46:50 2022 commencing cycle optimization Wed Jun 01 07:47:02 2022 start with 38935612 relations Wed Jun 01 07:49:19 2022 pruned 2299867 relations Wed Jun 01 07:49:19 2022 memory use: 966.9 MB Wed Jun 01 07:49:20 2022 distribution of cycle lengths: Wed Jun 01 07:49:20 2022 1 relations: 69655 Wed Jun 01 07:49:20 2022 2 relations: 192421 Wed Jun 01 07:49:20 2022 3 relations: 264983 Wed Jun 01 07:49:20 2022 4 relations: 302081 Wed Jun 01 07:49:20 2022 5 relations: 333065 Wed Jun 01 07:49:20 2022 6 relations: 341729 Wed Jun 01 07:49:20 2022 7 relations: 343761 Wed Jun 01 07:49:20 2022 8 relations: 329200 Wed Jun 01 07:49:20 2022 9 relations: 307713 Wed Jun 01 07:49:20 2022 10+ relations: 1634685 Wed Jun 01 07:49:20 2022 heaviest cycle: 28 relations Wed Jun 01 07:49:27 2022 RelProcTime: 4146 Wed Jun 01 07:49:27 2022 Wed Jun 01 07:49:27 2022 commencing linear algebra Wed Jun 01 07:49:28 2022 read 4119293 cycles Wed Jun 01 07:49:38 2022 cycles contain 13422805 unique relations Wed Jun 01 07:51:00 2022 read 13422805 relations Wed Jun 01 07:51:32 2022 using 20 quadratic characters above 4294917295 Wed Jun 01 07:52:24 2022 building initial matrix Wed Jun 01 07:55:50 2022 memory use: 1847.1 MB Wed Jun 01 07:55:55 2022 read 4119293 cycles Wed Jun 01 07:55:56 2022 matrix is 4119115 x 4119293 (2037.1 MB) with weight 619326651 (150.35/col) Wed Jun 01 07:55:56 2022 sparse part has weight 488691473 (118.63/col) Wed Jun 01 07:56:56 2022 filtering completed in 2 passes Wed Jun 01 07:56:57 2022 matrix is 4119053 x 4119231 (2037.1 MB) with weight 619323367 (150.35/col) Wed Jun 01 07:56:57 2022 sparse part has weight 488690262 (118.64/col) Wed Jun 01 07:57:14 2022 matrix starts at (0, 0) Wed Jun 01 07:57:15 2022 matrix is 4119053 x 4119231 (2037.1 MB) with weight 619323367 (150.35/col) Wed Jun 01 07:57:15 2022 sparse part has weight 488690262 (118.64/col) Wed Jun 01 07:57:15 2022 saving the first 48 matrix rows for later Wed Jun 01 07:57:17 2022 matrix includes 64 packed rows Wed Jun 01 07:57:18 2022 matrix is 4119005 x 4119231 (1984.9 MB) with weight 531962627 (129.14/col) Wed Jun 01 07:57:18 2022 sparse part has weight 479140829 (116.32/col) Wed Jun 01 07:57:18 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Wed Jun 01 07:57:40 2022 commencing Lanczos iteration (6 threads) Wed Jun 01 07:57:40 2022 memory use: 1646.4 MB Wed Jun 01 07:58:04 2022 linear algebra at 0.0%, ETA 17h16m Wed Jun 01 07:58:11 2022 checkpointing every 250000 dimensions Thu Jun 02 00:57:30 2022 lanczos halted after 65137 iterations (dim = 4119003) Thu Jun 02 00:57:36 2022 recovered 31 nontrivial dependencies Thu Jun 02 00:57:37 2022 BLanczosTime: 61690 Thu Jun 02 00:57:37 2022 Thu Jun 02 00:57:38 2022 commencing square root phase Thu Jun 02 00:57:38 2022 handling dependencies 1 to 64 Thu Jun 02 00:57:38 2022 reading relations for dependency 1 Thu Jun 02 00:57:39 2022 read 2058717 cycles Thu Jun 02 00:57:44 2022 cycles contain 6708774 unique relations Thu Jun 02 00:59:05 2022 read 6708774 relations Thu Jun 02 00:59:48 2022 multiplying 6708774 relations Thu Jun 02 01:07:23 2022 multiply complete, coefficients have about 348.08 million bits Thu Jun 02 01:07:26 2022 initial square root is modulo 1760699 Thu Jun 02 01:16:04 2022 GCD is 1, no factor found Thu Jun 02 01:16:04 2022 reading relations for dependency 2 Thu Jun 02 01:16:06 2022 read 2058404 cycles Thu Jun 02 01:16:11 2022 cycles contain 6708736 unique relations Thu Jun 02 01:17:23 2022 read 6708736 relations Thu Jun 02 01:18:06 2022 multiplying 6708736 relations Thu Jun 02 01:25:41 2022 multiply complete, coefficients have about 348.08 million bits Thu Jun 02 01:25:44 2022 initial square root is modulo 1760881 Thu Jun 02 01:34:18 2022 sqrtTime: 2200 Thu Jun 02 01:34:18 2022 p63 factor: 313995275700669197331291543408719159410763843627648676084858793 Thu Jun 02 01:34:18 2022 p96 factor: 536562397589002623237112558491221519973084034450045312759369291829190038696077180645567988766553 Thu Jun 02 01:34:18 2022 elapsed time 18:53:57``` `Msieve v. 1.53 (SVN 988)` `Core i7-10750H with 16 GB memory, 6 threads, Windows 10`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 1, 2013 00:15:58 UTC 2013 年 1 月 1 日 (火) 9 時 15 分 58 秒 (日本時間)
403e64110110Ignacio SantosJanuary 1, 2013 00:15:58 UTC 2013 年 1 月 1 日 (火) 9 時 15 分 58 秒 (日本時間)
4000Warut RoonguthaiJanuary 1, 2013 09:38:48 UTC 2013 年 1 月 1 日 (火) 18 時 38 分 48 秒 (日本時間)
4511e6218232Ignacio SantosJanuary 1, 2013 00:15:58 UTC 2013 年 1 月 1 日 (火) 9 時 15 分 58 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:12:35 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 35 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:23 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 23 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:12 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 12 秒 (日本時間)
5043e61200Erik BrangerOctober 24, 2015 08:46:45 UTC 2015 年 10 月 24 日 (土) 17 時 46 分 45 秒 (日本時間)
5511e78000 / 17172yoyo@HomeMay 5, 2021 12:52:38 UTC 2021 年 5 月 5 日 (水) 21 時 52 分 38 秒 (日本時間)

## 67×10231-319

### c184

composite cofactor 合成数の残り `2091574998238577369221834386425021801994410855710383796802433381006985820361691001192661584953820185515179115979754345590784080104599509533491518113072606434252739305642328451570029911<184>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:11:36 UTC 2013 年 1 月 3 日 (木) 0 時 11 分 36 秒 (日本時間)
403e640001000Dmitry DomanovJanuary 3, 2013 18:15:54 UTC 2013 年 1 月 4 日 (金) 3 時 15 分 54 秒 (日本時間)
3000Warut RoonguthaiJanuary 3, 2013 19:04:15 UTC 2013 年 1 月 4 日 (金) 4 時 4 分 15 秒 (日本時間)

## 67×10233-319

### c224

composite cofactor 合成数の残り `20327873172208164450127968631416959798824945624394906932890867862767514862638220514536311204361874886141559056428978926823146338854343064532846515135280245958716026384524913098547515499190884289376251480128373867295586785673<224>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:11:44 UTC 2013 年 1 月 3 日 (木) 0 時 11 分 44 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:16:12 UTC 2013 年 1 月 4 日 (金) 3 時 16 分 12 秒 (日本時間)
4511e61200 / 4194Dmitry DomanovJanuary 8, 2013 13:58:38 UTC 2013 年 1 月 8 日 (火) 22 時 58 分 38 秒 (日本時間)

## 67×10234-319

### c216

name 名前 Warut Roonguthai January 1, 2013 02:48:22 UTC 2013 年 1 月 1 日 (火) 11 時 48 分 22 秒 (日本時間) `436007041724324022744765947544075776657902959988815484040274421621503445819238354775025788041400868627952604631181208844342208439281822089131129050536765711389192289699036905233145541373376200000503404487724835993967<216>` ```397979163634511033773008567263887<33> 1095552434812231400113579370551885549048303682701993573107407592999437460812424153271634144404421380035239635822368851523250725692465176555799102945574669906302224056873266638689495841<184>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3596209754 Step 1 took 14165ms Step 2 took 7816ms ********** Factor found in step 2: 397979163634511033773008567263887 Found probable prime factor of 33 digits: 397979163634511033773008567263887 Probable prime cofactor 1095552434812231400113579370551885549048303682701993573107407592999437460812424153271634144404421380035239635822368851523250725692465176555799102945574669906302224056873266638689495841 has 184 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)

## 67×10235-319

### c226

name 名前 Dmitry Domanov January 5, 2013 15:35:43 UTC 2013 年 1 月 6 日 (日) 0 時 35 分 43 秒 (日本時間) `3459492767351996875880705744434695837023224640052769114136090998253584525459343720909801888981344974212642027473382197126771090458379316846008772810406106005440732409670635673430689246866773440004285869962896192871346305883093<226>` `108347960549100002354502237645335764229<39>` `31929468259665671410151894958721348395510228069572294504573759987082524568502081663413407232508206768949576659074697761942676702236640433331214371584017914115845543361033145554886295452817<188>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2194483772 Step 1 took 30423ms Step 2 took 11381ms ********** Factor found in step 2: 108347960549100002354502237645335764229 Found probable prime factor of 39 digits: 108347960549100002354502237645335764229```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:11:51 UTC 2013 年 1 月 3 日 (木) 0 時 11 分 51 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:16:30 UTC 2013 年 1 月 4 日 (金) 3 時 16 分 30 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 11, 2013 21:27:23 UTC 2013 年 1 月 12 日 (土) 6 時 27 分 23 秒 (日本時間)

## 67×10236-319

### c148

name 名前 Warut Roonguthai January 1, 2013 14:42:03 UTC 2013 年 1 月 1 日 (火) 23 時 42 分 3 秒 (日本時間) `3253357607000863077026071413949245999398244410917715735710820835516330300550179394206119776110631611948310960455277657787780473986146659437328388233<148>` ```95328934222175935067062346771015789<35> 194958220372518007238416412422777288909669727<45> 175051369909631651538931044787411983953292469631547283822192814184211<69>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1325782534 Step 1 took 5460ms Step 2 took 4337ms ********** Factor found in step 2: 95328934222175935067062346771015789 Found probable prime factor of 35 digits: 95328934222175935067062346771015789 Composite cofactor 34127703551353135122781129733442080704700938575854006815214200740085945052244330816457654126946312820080948080397 has 113 digits N = 34127703551353135122781129733442080704700938575854006815214200740085945052244330816457654126946312820080948080397 (113 digits) Divisors found: r1=194958220372518007238416412422777288909669727 (pp45) r2=175051369909631651538931044787411983953292469631547283822192814184211 (pp69) Version: Msieve v. 1.49 (SVN unknown) Total time: 4.25 hours. Factorization parameters were as follows: n: 34127703551353135122781129733442080704700938575854006815214200740085945052244330816457654126946312820080948080397 Y0: -4738878506722478266844 Y1: 897512556007 c0: 1600460367009431318652660831 c1: 1162440493703521506787263 c2: -1366215423726787993 c3: -293955312715591 c4: 171105914 c5: 14280 skew: 89246.36 type: gnfs Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 8475136 Relations: 589582 relations Pruned matrix : 365855 x 366080 Polynomial selection time: 0.00 hours. Total sieving time: 4.11 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.09 hours. time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,112,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 4.25 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 2.19GHz``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
300Ignacio SantosDecember 31, 2012 23:10:22 UTC 2013 年 1 月 1 日 (火) 8 時 10 分 22 秒 (日本時間)
403e6110 / 2126Ignacio SantosDecember 31, 2012 23:10:22 UTC 2013 年 1 月 1 日 (火) 8 時 10 分 22 秒 (日本時間)
4511e632 / 4437Ignacio SantosDecember 31, 2012 23:10:22 UTC 2013 年 1 月 1 日 (火) 8 時 10 分 22 秒 (日本時間)

## 67×10237-319

### c236

name 名前 Warut Roonguthai January 1, 2013 00:24:57 UTC 2013 年 1 月 1 日 (火) 9 時 24 分 57 秒 (日本時間) `36672140120415982484948002189381499726327312534209085933223864258347016967706622879036672140120415982484948002189381499726327312534209085933223864258347016967706622879036672140120415982484948002189381499726327312534209085933223864258347<236>` ```436744611702623762110117678028131129529<39> 83967012157177514687012243657597090994820405871752335840501631065397401461922554893218037679093121840692212630763018785222777734168595048388890918124833604999526518212440262470910360806064210013443<197>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=527026380 Step 1 took 13120ms Step 2 took 6973ms ********** Factor found in step 2: 436744611702623762110117678028131129529 Found probable prime factor of 39 digits: 436744611702623762110117678028131129529 Probable prime cofactor 83967012157177514687012243657597090994820405871752335840501631065397401461922554893218037679093121840692212630763018785222777734168595048388890918124833604999526518212440262470910360806064210013443 has 197 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)

## 67×10238-319

### c235

name 名前 Warut Roonguthai January 1, 2013 02:40:58 UTC 2013 年 1 月 1 日 (火) 11 時 40 分 58 秒 (日本時間) `7225511447582688968693045175623065558035955007710806992569585988978398956075361005963743030616756715951125346447097393423706148155337711777583659559783018969663636265596859598606662568615397888425162034790298402838439720901139905313447<235>` `173374072237232106505800898480969991<36>` `41675847803216156819117229111252187034290384622054123601236847398146985541458757303343771141186833978251735988152003369564299902756337318134909041563420544610423261193233241197505685094648194587019617<200>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3774538856 Step 1 took 13026ms Step 2 took 6974ms ********** Factor found in step 2: 173374072237232106505800898480969991 Found probable prime factor of 36 digits: 173374072237232106505800898480969991 Composite cofactor 41675847803216156819117229111252187034290384622054123601236847398146985541458757303343771141186833978251735988152003369564299902756337318134909041563420544610423261193233241197505685094648194587019617 has 200 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:12:21 UTC 2013 年 1 月 3 日 (木) 0 時 12 分 21 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:16:56 UTC 2013 年 1 月 4 日 (金) 3 時 16 分 56 秒 (日本時間)
4511e61000 / 4194Dmitry DomanovJanuary 11, 2013 21:27:36 UTC 2013 年 1 月 12 日 (土) 6 時 27 分 36 秒 (日本時間)

## 67×10239-319

### c187

name 名前 Warut Roonguthai December 31, 2012 21:58:02 UTC 2013 年 1 月 1 日 (火) 6 時 58 分 2 秒 (日本時間) `7777395917763402670772160095328114136342810175361724956461963805081705933659477109055036116508385022732759434985471703958829159345540236632323937060393917146734671968467894050927712403777<187>` `656063070999473129071874213<27>` `11854646697176541033324073189491059488815300175486613833787850269546821224419182352080370994356094227135154886258862321820465261811603877531892372921573937893229<161>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=972321115 Step 1 took 8611ms Step 2 took 5367ms ********** Factor found in step 2: 656063070999473129071874213 Found probable prime factor of 27 digits: 656063070999473129071874213 Composite cofactor 11854646697176541033324073189491059488815300175486613833787850269546821224419182352080370994356094227135154886258862321820465261811603877531892372921573937893229 has 161 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 1, 2013 19:57:21 UTC 2013 年 1 月 2 日 (水) 4 時 57 分 21 秒 (日本時間)
403e62800Warut RoonguthaiJanuary 1, 2013 19:57:21 UTC 2013 年 1 月 2 日 (水) 4 時 57 分 21 秒 (日本時間)
4511e61250850Serge BatalovNovember 8, 2013 17:12:47 UTC 2013 年 11 月 9 日 (土) 2 時 12 分 47 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:31 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 31 秒 (日本時間)
5043e6800Erik BrangerFebruary 2, 2014 11:59:41 UTC 2014 年 2 月 2 日 (日) 20 時 59 分 41 秒 (日本時間)
5511e78000 / 17382yoyo@HomeJune 5, 2021 21:52:48 UTC 2021 年 6 月 6 日 (日) 6 時 52 分 48 秒 (日本時間)

## 67×10241-319

### c199

name 名前 Warut Roonguthai December 31, 2012 22:36:02 UTC 2013 年 1 月 1 日 (火) 7 時 36 分 2 秒 (日本時間) `3428670170947618565723976581913840692637053630670720633178992342007345546061007016308708586135760560648308636796070989621757700754418444322448206877863486037647276401210024347478861793828865803319141<199>` `27351224934888197661745567769520721<35>` `125357097501477360518128860000819766869244681295750229471281156236424079015301263649641874882834798196634550055875596952613139315016719990967064900744884760200504021<165>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3288137165 Step 1 took 9874ms Step 2 took 5835ms ********** Factor found in step 2: 27351224934888197661745567769520721 Found probable prime factor of 35 digits: 27351224934888197661745567769520721 Composite cofactor 125357097501477360518128860000819766869244681295750229471281156236424079015301263649641874882834798196634550055875596952613139315016719990967064900744884760200504021 has 165 digits``` `GMP-ECM 6.3`

### c165

name 名前 Dmitry Domanov February 1, 2013 10:44:15 UTC 2013 年 2 月 1 日 (金) 19 時 44 分 15 秒 (日本時間) `125357097501477360518128860000819766869244681295750229471281156236424079015301263649641874882834798196634550055875596952613139315016719990967064900744884760200504021<165>` ```5798144372874728411725086442118487895849<40> 21620209749852284082186931632255665900448167850710751582140730824478906613239455706663661952604505351655184602914174385735629<125>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=711002507 Step 1 took 378804ms Step 2 took 106414ms ********** Factor found in step 2: 5798144372874728411725086442118487895849 Found probable prime factor of 40 digits: 5798144372874728411725086442118487895849```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:12:40 UTC 2013 年 1 月 3 日 (木) 0 時 12 分 40 秒 (日本時間)
403e62200Warut RoonguthaiJanuary 2, 2013 19:49:25 UTC 2013 年 1 月 3 日 (木) 4 時 49 分 25 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 22, 2013 12:34:41 UTC 2013 年 1 月 22 日 (火) 21 時 34 分 41 秒 (日本時間)
5043e61120 / 7013560Dmitry DomanovJanuary 31, 2013 15:58:36 UTC 2013 年 2 月 1 日 (金) 0 時 58 分 36 秒 (日本時間)
560Dmitry DomanovJanuary 31, 2013 15:58:53 UTC 2013 年 2 月 1 日 (金) 0 時 58 分 53 秒 (日本時間)

## 67×10243-319

### c219

composite cofactor 合成数の残り `145735491819109411916442104292764114626912061954473326251163747567171036956567405992829711076337594597882061655240969255976144911447578553233043238012592365945485198163688453428618424823431787348092772548335474411044817<219>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:12:49 UTC 2013 年 1 月 3 日 (木) 0 時 12 分 49 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:17:25 UTC 2013 年 1 月 4 日 (金) 3 時 17 分 25 秒 (日本時間)
4511e61200 / 4194Dmitry DomanovJanuary 8, 2013 13:58:04 UTC 2013 年 1 月 8 日 (火) 22 時 58 分 4 秒 (日本時間)

## 67×10244-319

### c217

composite cofactor 合成数の残り `2252082045815316127921426037845607559248655610254433936381896116792516490878905034981659653446043672579130969009282596188557206026594641148319657120102631367795659027300866957421566121750987463014000890304545932507521<217>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:12:58 UTC 2013 年 1 月 3 日 (木) 0 時 12 分 58 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:17:40 UTC 2013 年 1 月 4 日 (金) 3 時 17 分 40 秒 (日本時間)
4511e61200 / 4194Dmitry DomanovJanuary 8, 2013 13:57:27 UTC 2013 年 1 月 8 日 (火) 22 時 57 分 27 秒 (日本時間)

## 67×10245-319

### c223

name 名前 Dmitry Domanov January 9, 2013 19:48:13 UTC 2013 年 1 月 10 日 (木) 4 時 48 分 13 秒 (日本時間) `1635092301234063945467198391509985272478917302086306594556323694927295582755748040409874820343724686091152112671691479418046203137728800636498169684951580432153395748869530448975936377914743700521670141813792756904466447493<223>` `81459293049735716912494434255133419781<38>` `20072507875016093941198123709798386445818990627548331026706625794252966950685585905021796632732661432018283896280786549035034114594903534813636457687928928211724949498725413040206241153<185>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3132979687 Step 1 took 108255ms Step 2 took 35767ms ********** Factor found in step 2: 81459293049735716912494434255133419781 Found probable prime factor of 38 digits: 81459293049735716912494434255133419781```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:13:05 UTC 2013 年 1 月 3 日 (木) 0 時 13 分 5 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:17:58 UTC 2013 年 1 月 4 日 (金) 3 時 17 分 58 秒 (日本時間)
4511e61200 / 4194Dmitry DomanovJanuary 8, 2013 13:57:08 UTC 2013 年 1 月 8 日 (火) 22 時 57 分 8 秒 (日本時間)

## 67×10246-319

### c198

composite cofactor 合成数の残り `454865240534812097423855177779396128807538381840800101483607818540709399387719839984071374006988722597515412432197995543857126050181969528965986836381214505288975290934490957695399582434014844908017<198>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:13:13 UTC 2013 年 1 月 3 日 (木) 0 時 13 分 13 秒 (日本時間)
403e61000Dmitry DomanovJanuary 3, 2013 18:18:14 UTC 2013 年 1 月 4 日 (金) 3 時 18 分 14 秒 (日本時間)
4511e61200 / 4194Dmitry DomanovJanuary 8, 2013 13:56:37 UTC 2013 年 1 月 8 日 (火) 22 時 56 分 37 秒 (日本時間)

## 67×10247-319

### c243

name 名前 Warut Roonguthai December 31, 2012 13:36:40 UTC 2012 年 12 月 31 日 (月) 22 時 36 分 40 秒 (日本時間) `339527428495270180218118501153633120849973978009771295337680297932784717819767692292879400364155835995076345529462619297016060660882538205703959447249346409700146604903080121885279256242363800092331190256474965426479389418196947192336207154299<243>` ```1700583322005022722630269443<28> 199653509535163708972069713365832179522855062948289456816660861808402053464343146734810405760567549627431659015262249897701510784566302089196863732878708747897605789218164409614146737620698555711299261304216632202793<216>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1294880906 Step 1 took 13166ms Step 2 took 7192ms ********** Factor found in step 2: 1700583322005022722630269443 Found probable prime factor of 28 digits: 1700583322005022722630269443 Probable prime cofactor 199653509535163708972069713365832179522855062948289456816660861808402053464343146734810405760567549627431659015262249897701510784566302089196863732878708747897605789218164409614146737620698555711299261304216632202793 has 216 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)

## 67×10248-319

### c246

composite cofactor 合成数の残り `112948633658692830290463426558101114314132065611355552183954550818456143899930882179402889462061059694195788870345083362834842124782953185320049225374669161651410172120231291828924965019639575852593604072894013722416089279994605438392420640941351<246>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:13:21 UTC 2013 年 1 月 3 日 (木) 0 時 13 分 21 秒 (日本時間)
403e62000Dmitry DomanovJanuary 3, 2013 18:18:45 UTC 2013 年 1 月 4 日 (金) 3 時 18 分 45 秒 (日本時間)
4511e60--
5043e61140 / 7469500Dmitry DomanovJanuary 5, 2013 15:22:45 UTC 2013 年 1 月 6 日 (日) 0 時 22 分 45 秒 (日本時間)
640Dmitry DomanovJanuary 17, 2013 15:21:40 UTC 2013 年 1 月 18 日 (金) 0 時 21 分 40 秒 (日本時間)

## 67×10249-319

### c241

name 名前 Dmitry Domanov January 5, 2013 15:36:38 UTC 2013 年 1 月 6 日 (日) 0 時 36 分 38 秒 (日本時間) `3865133209355932008719311548209299466739172273645664905160070074941234516127166293827465918832709224418630261594466039754209318894052453603830368193709258105689100456681393420117089672795673065612930560352308456546414661294408179973444623053<241>` ```1321498937990485788523923244685410034393<40> 2924809924730911337948066951665330853523982750395008993666929689899074203430215119148283814575097107458052477708245855408299127186470685149668075640180444707958089619385073889514302088661712165914105621<202>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=473051302 Step 1 took 35187ms Step 2 took 12593ms ********** Factor found in step 2: 1321498937990485788523923244685410034393 Found probable prime factor of 40 digits: 1321498937990485788523923244685410034393```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiJanuary 2, 2013 15:13:34 UTC 2013 年 1 月 3 日 (木) 0 時 13 分 34 秒 (日本時間)
403e62000Dmitry DomanovJanuary 3, 2013 18:19:09 UTC 2013 年 1 月 4 日 (金) 3 時 19 分 9 秒 (日本時間)

## 67×10250-319

### c165

name 名前 Warut Roonguthai December 31, 2012 14:46:40 UTC 2012 年 12 月 31 日 (月) 23 時 46 分 40 秒 (日本時間) `536073875402027639095235877304576386570923481773361904929790997825340936414459709873707610563531336653930222121542497475096138677397964262777852550931782106663367591<165>` ```50782224696612251351973682473181<32> 10556329081773958372291171061980548831529300305753911990746732906844964450895186775087235674634635199021567242542109294273115786134611<134>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=723170135 Step 1 took 6396ms Step 2 took 4680ms ********** Factor found in step 2: 50782224696612251351973682473181 Found probable prime factor of 32 digits: 50782224696612251351973682473181 Probable prime cofactor 10556329081773958372291171061980548831529300305753911990746732906844964450895186775087235674634635199021567242542109294273115786134611 has 134 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 31, 2012 11:00:00 UTC 2012 年 12 月 31 日 (月) 20 時 0 分 0 秒 (日本時間)

## 67×10252-319

### c229

composite cofactor 合成数の残り `2235495445656023759923744249911711217512378904528165319884153020817915537019563156520450736417025444630627855961134928089341510084645184400160123096637746268172989969661200392562082927415964719844813804627264120733668734137352919<229>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:44:58 UTC 2021 年 5 月 19 日 (水) 17 時 44 分 58 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 11:48:47 UTC 2022 年 2 月 18 日 (金) 20 時 48 分 47 秒 (日本時間)

## 67×10253-319

### c228

composite cofactor 合成数の残り `686132226675813892340012263749405487643970403922708696289058954587109710919495568179786283819449586518660609103327343804375262166340383004063930977769649209045103735183259856990168279005520191828236081495180372803737865469226273<228>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:44:48 UTC 2021 年 5 月 19 日 (水) 17 時 44 分 48 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 18, 2022 08:56:17 UTC 2022 年 2 月 18 日 (金) 17 時 56 分 17 秒 (日本時間)

## 67×10255-319

### c248

composite cofactor 合成数の残り `19038887643248352641705064671780885277170983564368515701014157527984258563584461629177444492160727640961162761496276602963466457239584580939918892184687995811440171885328210263060887416641828661720410827926099564180624044650463054149525888632855917<248>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:44:39 UTC 2021 年 5 月 19 日 (水) 17 時 44 分 39 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 13:51:19 UTC 2022 年 2 月 22 日 (火) 22 時 51 分 19 秒 (日本時間)

## 67×10256-319

### c221

composite cofactor 合成数の残り `33158128031714278647003140883231072446640574199979141446746806503604850724683619936176101672922840500981251462996424539786030959320814277623838494610486408362190868293173186503727329167909816081358179748391137243374225827<221>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:44:28 UTC 2021 年 5 月 19 日 (水) 17 時 44 分 28 秒 (日本時間)
403e62023Marlon TrifunovicFebruary 15, 2022 20:56:02 UTC 2022 年 2 月 16 日 (水) 5 時 56 分 2 秒 (日本時間)

## 67×10257-319

### c186

composite cofactor 合成数の残り `979289866415450241974692307614576193640269944265824624004180724541890861172801281233863227415521254668608128005849044628489940220448421795751473323238078137971652163231128197071995026499<186>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:44:13 UTC 2021 年 5 月 19 日 (水) 17 時 44 分 13 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 18:07:27 UTC 2022 年 2 月 18 日 (金) 3 時 7 分 27 秒 (日本時間)

## 67×10259-319

### c229

composite cofactor 合成数の残り `5025663927596510527033334386537320162309129519154704378374000134328167961485007579969584564323200480341208211260795266450215957270672990837871977108785449766174054849416401249726639794117451815055407319715517148111177873439586689<229>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:44:02 UTC 2021 年 5 月 19 日 (水) 17 時 44 分 2 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 17, 2022 22:47:35 UTC 2022 年 2 月 18 日 (金) 7 時 47 分 35 秒 (日本時間)

## 67×10262-319

### c259

composite cofactor 合成数の残り `9212281208321302369068734617552833120213394931870368078758129494424507417948823715436758376988546522020102022576963797109818641807257077644405945358797728553946843762460641559762955629803792159936201515214013667175404584141126648242104250024061928529197431561<259>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:43:53 UTC 2021 年 5 月 19 日 (水) 17 時 43 分 53 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 10:18:34 UTC 2022 年 3 月 6 日 (日) 19 時 18 分 34 秒 (日本時間)

## 67×10263-319

### c234

name 名前 Marlon Trifunovic February 20, 2022 00:47:47 UTC 2022 年 2 月 20 日 (日) 9 時 47 分 47 秒 (日本時間) `264080574885566533717243651632921358133329466807653630202684017914799729224692265282092415301327507735642951651031484666198631928441914344810378332554452563502179723893335527037150186091941383019024964812523789265374029836728452215473<234>` `5223149245628641699754379941165747323493<40>` `50559645621189335200579759627886058476763720221369351450065018339921618109852041055170411108707032023299997319986012417680465991868311514601140000840203074921234089097326252529348709373395616861<194>` ```Run 297 out of 587: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3599508265 Step 1 took 24717ms Step 2 took 9101ms ********** Factor found in step 2: 5223149245628641699754379941165747323493 Found prime factor of 40 digits: 5223149245628641699754379941165747323493 Composite cofactor 50559645621189335200579759627886058476763720221369351450065018339921618109852041055170411108707032023299997319986012417680465991868311514601140000840203074921234089097326252529348709373395616861 has 194 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 KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:43:44 UTC 2021 年 5 月 19 日 (水) 17 時 43 分 44 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 19, 2022 18:07:25 UTC 2022 年 2 月 20 日 (日) 3 時 7 分 25 秒 (日本時間)

## 67×10264-319

### c241

composite cofactor 合成数の残り `2093262069986567232538453857132433723647015931543154373993314801332077492982451255997963006326410716448789808989379141011144846921103343229840273900890958016697184966280546357935376391354198158859649082440307466597545242383507545990144740019<241>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:43:31 UTC 2021 年 5 月 19 日 (水) 17 時 43 分 31 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 14:11:13 UTC 2022 年 2 月 20 日 (日) 23 時 11 分 13 秒 (日本時間)

## 67×10265-319

### c216

composite cofactor 合成数の残り `515038929660899448782088414131090177941233757996578552654733796922642670559052233890110227673513631083142395780953759032818417651184127163061596461906488123093095127947163684225271252894972631150113905209924295396013<216>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 20, 2021 15:38:28 UTC 2021 年 5 月 21 日 (金) 0 時 38 分 28 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 16, 2022 21:25:23 UTC 2022 年 2 月 17 日 (木) 6 時 25 分 23 秒 (日本時間)

## 67×10266-319

### c251

composite cofactor 合成数の残り `44261157077515891977737678581326932141391256193992818743676807620492572511928223495430983417290162873822285649706798390117512544270976535493811274021522797590707043188413596106071136036394326598944053151962528216421043161530940561116388502405223283413<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:43:20 UTC 2021 年 5 月 19 日 (水) 17 時 43 分 20 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 22:00:43 UTC 2022 年 3 月 5 日 (土) 7 時 0 分 43 秒 (日本時間)

## 67×10267-319

### c255

composite cofactor 合成数の残り `105176448557956907396830356416586982362202656095387446227059014456679755977378549021499448682032708608624041077117677027937647471534594891690332075256282360590786705220267068714785698084178417276940767624581761602876418079498730398724826435264915179594579<255>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:43:09 UTC 2021 年 5 月 19 日 (水) 17 時 43 分 9 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 17:17:22 UTC 2022 年 3 月 5 日 (土) 2 時 17 分 22 秒 (日本時間)

## 67×10270-319

### c178

composite cofactor 合成数の残り `4830934645454019077286333140630879059584982911136657567097065141131965504933612282954352596556660884118837834833489934919815255311195928048102043677020514051111469102990057479641<178>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosFebruary 27, 2021 17:36:59 UTC 2021 年 2 月 28 日 (日) 2 時 36 分 59 秒 (日本時間)
403e62350Ignacio SantosMarch 2, 2021 18:23:19 UTC 2021 年 3 月 3 日 (水) 3 時 23 分 19 秒 (日本時間)
4511e64480Ignacio SantosMarch 24, 2021 18:54:13 UTC 2021 年 3 月 25 日 (木) 3 時 54 分 13 秒 (日本時間)

## 67×10271-319

### c238

name 名前 Marlon Trifunovic February 28, 2022 23:29:15 UTC 2022 年 3 月 1 日 (火) 8 時 29 分 15 秒 (日本時間) `4900703530238337524782666044817614441675110649183117964360208869665617096255594140350207879543914364643176527392769744129672259591305181005875385634699034455763083422658848426929695328669206254952892026430718596417905485595607927112581397<238>` `6902986455734743190475750414781762916627<40>` `709939612610280607709561292938189272724558770219411097018539642077899034097504519471054523119907781497220136914610945823463958216799574503025775353350572968464741398869766343083649539861871155155511<198>` ```Run 103 out of 587: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1985197015 Step 1 took 24738ms Step 2 took 9110ms ********** Factor found in step 2: 6902986455734743190475750414781762916627 Found prime factor of 40 digits: 6902986455734743190475750414781762916627 Composite cofactor 709939612610280607709561292938189272724558770219411097018539642077899034097504519471054523119907781497220136914610945823463958216799574503025775353350572968464741398869766343083649539861871155155511 has 198 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 KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:42:49 UTC 2021 年 5 月 19 日 (水) 17 時 42 分 49 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 19:26:14 UTC 2022 年 2 月 24 日 (木) 4 時 26 分 14 秒 (日本時間)

## 67×10273-319

### c245

composite cofactor 合成数の残り `43581572195741789726212159316585472608955895341027341756636813210756525369827854651820969003709770546663705913842899716849264558531824139486911269500138916740409297002777253468010409491803003148349045722334667547252504298029399938388795454851391<245>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:42:36 UTC 2021 年 5 月 19 日 (水) 17 時 42 分 36 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 18:56:11 UTC 2022 年 2 月 23 日 (水) 3 時 56 分 11 秒 (日本時間)

## 67×10274-319

### c250

composite cofactor 合成数の残り `2210021704832490853791821821102186258637783342660400524730740951696544847265404223184902645618602831793508517091073628009146505379192657741535020278375684328715043771654516185413139778509297718791954582830155241342259229428132318971238857358867710341<250>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:42:28 UTC 2021 年 5 月 19 日 (水) 17 時 42 分 28 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 3, 2022 15:57:05 UTC 2022 年 3 月 4 日 (金) 0 時 57 分 5 秒 (日本時間)

## 67×10275-319

### c262

composite cofactor 合成数の残り `1184087746890228405894222694577423172206272140619523130490853841261520082411217338906321022115971442818822900634007265995698877491088298259505527910641213993523631512492872144122937678652296333432350012633248930701302014866629142895405138128742962750879584796699<262>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:42:17 UTC 2021 年 5 月 19 日 (水) 17 時 42 分 17 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 04:49:08 UTC 2022 年 3 月 6 日 (日) 13 時 49 分 8 秒 (日本時間)

## 67×10276-319

### c267

composite cofactor 合成数の残り `932759947489241861154487654161568460609101217190554950516569470629207112209793627915079874290621534286517958805043750001826277848680195655202569157947496307810114314142962486603757147298174261023447617193060772526665614098854984828270827312344379269211625616328985453<267>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:42:09 UTC 2021 年 5 月 19 日 (水) 17 時 42 分 9 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 12:04:06 UTC 2022 年 3 月 6 日 (日) 21 時 4 分 6 秒 (日本時間)

## 67×10277-319

### c242

composite cofactor 合成数の残り `27984573159903540644914647476717827285310545989056572110758017522464120673465765134917458571198240645491971124250754878630304135626639319590185776717086211065697544942781927147873315856207043118214302026320714341872985975885073607955451281449<242>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:41:58 UTC 2021 年 5 月 19 日 (水) 17 時 41 分 58 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 23:11:25 UTC 2022 年 2 月 22 日 (火) 8 時 11 分 25 秒 (日本時間)

## 67×10278-319

### c277

composite cofactor 合成数の残り `6362773029439696106362773029439696106362773029439696106362773029439696106362773029439696106362773029439696106362773029439696106362773029439696106362773029439696106362773029439696106362773029439696106362773029439696106362773029439696106362773029439696106362773029439696106362773<277>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:41:50 UTC 2021 年 5 月 19 日 (水) 17 時 41 分 50 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 08:40:47 UTC 2022 年 3 月 9 日 (水) 17 時 40 分 47 秒 (日本時間)

## 67×10280-319

### c237

composite cofactor 合成数の残り `373765652372383740067774886484013511667094173759039111838584399158753675502054171364285381861518938323414717860892173011194446033322007571820210056463379611548433515429808296361955372870900671231630213624581848778052114322844095145728603<237>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:41:40 UTC 2021 年 5 月 19 日 (水) 17 時 41 分 40 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 23, 2022 00:12:29 UTC 2022 年 2 月 23 日 (水) 9 時 12 分 29 秒 (日本時間)

## 67×10282-319

### c245

composite cofactor 合成数の残り `91714168478462586221845732999064015460664782593715669131217373421642188901206218610732046424835833133467442219656662561421948006397387973171029054527100825325001101832119974229587462061587805709596902617758123988858424395429850853933905735796531<245>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:41:32 UTC 2021 年 5 月 19 日 (水) 17 時 41 分 32 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 22:31:53 UTC 2022 年 2 月 21 日 (月) 7 時 31 分 53 秒 (日本時間)

## 67×10283-319

### c280

composite cofactor 合成数の残り `1081522590101324138777104651031401282007822475330792562353005744983430105391955086142467195159944277373417466105566290070815516459321029803211314986190409315945032825017715985710988108094147348574730789656769927860829027420633191121183799114442846373751608159522967827124263717177<280>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:41:23 UTC 2021 年 5 月 19 日 (水) 17 時 41 分 23 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 2, 2022 07:19:46 UTC 2022 年 3 月 2 日 (水) 16 時 19 分 46 秒 (日本時間)

## 67×10284-319

### c267

composite cofactor 合成数の残り `354486924099751649646651481244923505028638691406818427799683893200475952287013884048335615485104356695209212355003898106435869801241239482310590387585133009384804351255263383777839788951980995888045758363361320628295434887059203715738469021040755397764083211458620097<267>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:41:15 UTC 2021 年 5 月 19 日 (水) 17 時 41 分 15 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 6, 2022 17:45:29 UTC 2022 年 3 月 7 日 (月) 2 時 45 分 29 秒 (日本時間)

## 67×10285-319

### c228

composite cofactor 合成数の残り `721965369396459522710015071140921014130871378955233731757788151653863325151039990090950672910832820317449907826479895064144370764590226476778079895250631503557951060217654470229243858152949980189186283758638626545574007019210229<228>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:41:07 UTC 2021 年 5 月 19 日 (水) 17 時 41 分 7 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 00:07:22 UTC 2022 年 2 月 21 日 (月) 9 時 7 分 22 秒 (日本時間)

## 67×10286-319

### c287

composite cofactor 合成数の残り `74444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<287>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovFebruary 4, 2021 20:34:12 UTC 2021 年 2 月 5 日 (金) 5 時 34 分 12 秒 (日本時間)
4511e650001000Dmitry DomanovMarch 14, 2021 11:30:49 UTC 2021 年 3 月 14 日 (日) 20 時 30 分 49 秒 (日本時間)
1000Dmitry DomanovMay 26, 2021 13:41:21 UTC 2021 年 5 月 26 日 (水) 22 時 41 分 21 秒 (日本時間)
1000Ignacio SantosJuly 6, 2021 14:32:54 UTC 2021 年 7 月 6 日 (火) 23 時 32 分 54 秒 (日本時間)
1000Ignacio SantosJuly 7, 2021 12:24:44 UTC 2021 年 7 月 7 日 (水) 21 時 24 分 44 秒 (日本時間)
1000Ignacio SantosJuly 12, 2021 20:03:45 UTC 2021 年 7 月 13 日 (火) 5 時 3 分 45 秒 (日本時間)
5043e672001800NFSathomeNovember 24, 2021 21:38:36 UTC 2021 年 11 月 25 日 (木) 6 時 38 分 36 秒 (日本時間)
1800Dmitry DomanovJanuary 13, 2022 22:55:05 UTC 2022 年 1 月 14 日 (金) 7 時 55 分 5 秒 (日本時間)
1800Dmitry DomanovMarch 25, 2022 22:42:58 UTC 2022 年 3 月 26 日 (土) 7 時 42 分 58 秒 (日本時間)
1800Dmitry DomanovApril 1, 2022 07:34:10 UTC 2022 年 4 月 1 日 (金) 16 時 34 分 10 秒 (日本時間)

## 67×10287-319

### c248

name 名前 Eric Jeancolas May 18, 2021 05:43:28 UTC 2021 年 5 月 18 日 (火) 14 時 43 分 28 秒 (日本時間) `23339976561153647223950145402240999669359204864670382299934466980990176951256605281431453020778322368698668402051836525298178826728388345091905462079411671527630177113128399595731340602953431048574171584683061816762420385858881453210207484878459651<248>` ```44463317098084408094992247415721271<35> 524926570585512890429113633154886010457251918332989921615654413601959672089187332490773262323641067591983470486405448761543393658191473193855621053662287832586075576600450036614697544144234055603043882000938757781<213>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 23339976561153647223950145402240999669359204864670382299934466980990176951256605281431453020778322368698668402051836525298178826728388345091905462079411671527630177113128399595731340602953431048574171584683061816762420385858881453210207484878459651 (248 digits) Run 381 out of 1200: Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1891163021 Step 1 took 8291ms Step 2 took 4306ms ********** Factor found in step 2: 44463317098084408094992247415721271 Found prime factor of 35 digits: 44463317098084408094992247415721271 Prime cofactor 524926570585512890429113633154886010457251918332989921615654413601959672089187332490773262323641067591983470486405448761543393658191473193855621053662287832586075576600450036614697544144234055603043882000938757781 has 213 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6381 / 902Eric JeancolasMay 18, 2021 05:41:36 UTC 2021 年 5 月 18 日 (火) 14 時 41 分 36 秒 (日本時間)

## 67×10288-319

### c247

composite cofactor 合成数の残り `7651467357211862099780102654592168578262446029252666718965188301491214931697123508693074457362351719858026342027342026960976746633120380451260915461791950208855077571321506213973221384186718273560692954341882730269980575221866754504881742025090013<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:40:51 UTC 2021 年 5 月 19 日 (水) 17 時 40 分 51 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 15:43:31 UTC 2022 年 2 月 23 日 (水) 0 時 43 分 31 秒 (日本時間)

## 67×10289-319

### c243

composite cofactor 合成数の残り `106076681170944572891740599199850441083477590057998112469443798111166176633192516705230383725547192807522629538801620883178546795389328978528196328454832793185674320217962235037688105088132342379716417159209513138322160829168825841406705910703<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:40:43 UTC 2021 年 5 月 19 日 (水) 17 時 40 分 43 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 15:30:55 UTC 2022 年 2 月 23 日 (水) 0 時 30 分 55 秒 (日本時間)

## 67×10291-319

### c274

composite cofactor 合成数の残り `2576815388922021770299354903870368981645361447930497822057746925692358266341877380713031042989535018277386352012788118170241977117022457762824517960640403814923007349456000017201621356105023296566063610985264302227489301948577389771153113327046408364142760744603576759255791<274>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:40:33 UTC 2021 年 5 月 19 日 (水) 17 時 40 分 33 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 9, 2022 08:27:11 UTC 2022 年 3 月 9 日 (水) 17 時 27 分 11 秒 (日本時間)

## 67×10293-319

### c233

composite cofactor 合成数の残り `15963884787804978228936989963731680581231379692037619453154004693471021376182069191954469088335125181586852551695481049675982807105878891016906121150866355487125623249081950444736583582202654236593206809719129218176263374000355076377<233>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:40:24 UTC 2021 年 5 月 19 日 (水) 17 時 40 分 24 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 22, 2022 03:58:27 UTC 2022 年 2 月 22 日 (火) 12 時 58 分 27 秒 (日本時間)

## 67×10294-319

### c248

composite cofactor 合成数の残り `92937583175373907340385215550403591098558071004356677129493118726123506772731372808308199950764504924000551703475438429957965936708125521200723488848138552169268154488482172218175656709364530326764654716543102837320842398713629634750836407675826977<248>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 08:40:15 UTC 2021 年 5 月 19 日 (水) 17 時 40 分 15 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicMarch 4, 2022 06:22:16 UTC 2022 年 3 月 4 日 (金) 15 時 22 分 16 秒 (日本時間)

## 67×10295-319

### c252

name 名前 Eric Jeancolas May 19, 2021 02:38:06 UTC 2021 年 5 月 19 日 (水) 11 時 38 分 6 秒 (日本時間) `941787435807594697167985972901412816596196899450775085939932172063394195930076402747147035817884424664298376655320576832259109275512324439001824970394594925316438461975451467533419554138909401020179289898135867472114311120650108235142104962947462401819<252>` ```24102142304613436204558757247691841<35> 39074843385491313774456350532074700002253273140368864782471334597532846618059579148867150957607002917157965267578438694898264398199612768744506883064696274663270392536237035234709608446383110550182095160811731108615259<218>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 941787435807594697167985972901412816596196899450775085939932172063394195930076402747147035817884424664298376655320576832259109275512324439001824970394594925316438461975451467533419554138909401020179289898135867472114311120650108235142104962947462401819 (252 digits) Run 1057 out of 1200: Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:604223464 Step 1 took 8491ms Step 2 took 4415ms ********** Factor found in step 2: 24102142304613436204558757247691841 Found prime factor of 35 digits: 24102142304613436204558757247691841 Prime cofactor 39074843385491313774456350532074700002253273140368864782471334597532846618059579148867150957607002917157965267578438694898264398199612768744506883064696274663270392536237035234709608446383110550182095160811731108615259 has 218 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61057Eric JeancolasMay 19, 2021 02:36:42 UTC 2021 年 5 月 19 日 (水) 11 時 36 分 42 秒 (日本時間)

## 67×10296-319

### c252

name 名前 Eric Jeancolas May 19, 2021 02:33:21 UTC 2021 年 5 月 19 日 (水) 11 時 33 分 21 秒 (日本時間) `327669806039676630664400139437411030163719643364134020237355076966404459872180191131155537885368796641820463484282653238995487630738144403101799014835152700927027216996875042907728499424146062263534876465198037893348823366904667427180122492995016033601<252>` `39047806661444868811547191887831479<35>` `8391503494182482437636270246324482433841373779719171341446864602191666513167062017061464042724125127196757108388364964394327167551682663856416781800415161778951759881983659916759764547712356854844964052428151844024519<217>` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 327669806039676630664400139437411030163719643364134020237355076966404459872180191131155537885368796641820463484282653238995487630738144403101799014835152700927027216996875042907728499424146062263534876465198037893348823366904667427180122492995016033601 (252 digits) Run 415 out of 1200: Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3036105461 Step 1 took 8864ms Step 2 took 4404ms ********** Factor found in step 2: 39047806661444868811547191887831479 Found prime factor of 35 digits: 39047806661444868811547191887831479 Composite cofactor 8391503494182482437636270246324482433841373779719171341446864602191666513167062017061464042724125127196757108388364964394327167551682663856416781800415161778951759881983659916759764547712356854844964052428151844024519 has 217 digits``` `GMP-ECM 7.0.4` ```Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200415Eric JeancolasMay 19, 2021 02:30:11 UTC 2021 年 5 月 19 日 (水) 11 時 30 分 11 秒 (日本時間)
785Eric JeancolasMay 19, 2021 02:31:11 UTC 2021 年 5 月 19 日 (水) 11 時 31 分 11 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 21, 2022 13:35:31 UTC 2022 年 2 月 21 日 (月) 22 時 35 分 31 秒 (日本時間)

## 67×10297-319

### c222

composite cofactor 合成数の残り `399093965392669984076019675501309026786471777884592920388999009436645139388739592357612002009501625991302095907684171751671416988797651157381566885800605981241846944186270427286690873869348709055762038890773218841245620801<222>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 19:54:49 UTC 2021 年 5 月 20 日 (木) 4 時 54 分 49 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 15:19:10 UTC 2022 年 2 月 21 日 (月) 0 時 19 分 10 秒 (日本時間)

## 67×10299-319

### c225

composite cofactor 合成数の残り `783426237204784891096476904367549315726367149098102402936153392533848091203985437588037199075250905994566582069802578245343756285552840536811798760101873490649000276398305147513879585705919650119383313815128491703170499964909<225>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Eric JeancolasMay 19, 2021 19:54:32 UTC 2021 年 5 月 20 日 (木) 4 時 54 分 32 秒 (日本時間)
403e6587 / 2023Marlon TrifunovicFebruary 20, 2022 13:01:43 UTC 2022 年 2 月 20 日 (日) 22 時 1 分 43 秒 (日本時間)

## 67×10300-319

### c290

composite cofactor 合成数の残り `37149172985430453511655203469035598381429502168772877101710536244551833122274592201437344531639889260425647422108644789920550903557168971544422088567334743640624683048358901480975707848467461806572643096533665987230297826252220869963399099499238177678740546864059240165071978469422869236371<290>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 21, 2021 21:15:21 UTC 2021 年 1 月 22 日 (金) 6 時 15 分 21 秒 (日本時間)
4511e62000Dmitry DomanovMarch 19, 2021 13:53:23 UTC 2021 年 3 月 19 日 (金) 22 時 53 分 23 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovMay 15, 2021 11:26:52 UTC 2021 年 5 月 15 日 (土) 20 時 26 分 52 秒 (日本時間)