## 7×10105-3679

### c96

name 名前 KTakahashi January 8, 2015 13:31:13 UTC 2015 年 1 月 8 日 (木) 22 時 31 分 13 秒 (日本時間) `344612480064471410328671384638667603997055650071706622700852861336003972534739206648300514018811<96>` ```3479954705385157955748323573154502019881<40> 99027863647532745919479991236899611855672982444185702531<56>``` ```Input number is 344612480064471410328671384638667603997055650071706622700852861336003972534739206648300514018811 (96 digits) Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3243850479 Step 1 took 624ms Step 2 took 437ms ********** Factor found in step 2: 3479954705385157955748323573154502019881 Found probable prime factor of 40 digits: 3479954705385157955748323573154502019881 Probable prime cofactor 99027863647532745919479991236899611855672982444185702531 has 56 digits``` `GMP-ECM 6.4.4`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10115-3679

### c113

name 名前 KTakahashi January 8, 2015 13:45:06 UTC 2015 年 1 月 8 日 (木) 22 時 45 分 6 秒 (日本時間) `78563411896745230078563411896745230078563411896745230078563411896745230078563411896745230078563411896745230078563<113>` ```3191820641275542665475263486850589<34> 24613980773477624806262570789635168297942027067387748416422266796288770485731967<80>``` ```Number: 77737_115 N=78563411896745230078563411896745230078563411896745230078563411896745230078563411896745230078563411896745230078563 ( 113 digits) SNFS difficulty: 115 digits. Divisors found: r1=3191820641275542665475263486850589 (pp34) r2=24613980773477624806262570789635168297942027067387748416422266796288770485731967 (pp80) Version: Msieve v. 1.51 (SVN Official Release) Total time: 1.48 hours. Scaled time: 2.58 units (timescale=1.742). Factorization parameters were as follows: n: 78563411896745230078563411896745230078563411896745230078563411896745230078563411896745230078563411896745230078563 m: 100000000000000000000000 c5: 7 c0: -367 skew: 2.21 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 500001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 83507 x 83732 Total sieving time: 1.44 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.02 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,115.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.48 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--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10116-3679

### c105

name 名前 KTakahashi January 8, 2015 13:47:23 UTC 2015 年 1 月 8 日 (木) 22 時 47 分 23 秒 (日本時間) `268202293121303946850562305589532655682924164283131748567613869374280010251339757769025809920397801308571<105>` ```3515698978142120037973498664359907753901451<43> 76287046982343216085363498099668403406406648670571042498883121<62>``` ```Number: 77737_116 N=268202293121303946850562305589532655682924164283131748567613869374280010251339757769025809920397801308571 ( 105 digits) SNFS difficulty: 116 digits. Divisors found: r1=3515698978142120037973498664359907753901451 (pp43) r2=76287046982343216085363498099668403406406648670571042498883121 (pp62) Version: Msieve v. 1.51 (SVN Official Release) Total time: 1.86 hours. Scaled time: 3.70 units (timescale=1.988). Factorization parameters were as follows: n: 268202293121303946850562305589532655682924164283131748567613869374280010251339757769025809920397801308571 m: 100000000000000000000000 c5: 70 c0: -367 skew: 1.39 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 104231 x 104457 Total sieving time: 1.81 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.04 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.86 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--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10117-3679

### c116

name 名前 KTakahashi January 8, 2015 13:51:50 UTC 2015 年 1 月 8 日 (木) 22 時 51 分 50 秒 (日本時間) `70707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707067<116>` ```22164926681899701517606581044834833183<38> 3190043067672831003193674463964522780828992331527252893008398020708396967091749<79>``` ```Number: 77737_117 N=70707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707067 ( 116 digits) SNFS difficulty: 117 digits. Divisors found: r1=22164926681899701517606581044834833183 (pp38) r2=3190043067672831003193674463964522780828992331527252893008398020708396967091749 (pp79) Version: Msieve v. 1.51 (SVN Official Release) Total time: 1.95 hours. Scaled time: 3.37 units (timescale=1.732). Factorization parameters were as follows: n: 70707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707067 m: 100000000000000000000000 c5: 700 c0: -367 skew: 0.88 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 600001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 121240 x 121487 Total sieving time: 1.86 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.06 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,117.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.95 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--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10119-3679

### c101

name 名前 KTakahashi January 8, 2015 13:58:43 UTC 2015 年 1 月 8 日 (木) 22 時 58 分 43 秒 (日本時間) `20658981985042953463256214876589023341189444591628173514720633336839895377202899666191302708846008231<101>` ```1163498636935258841301559273289171500109811062371<49> 17755914213582780435344572765135831615074072028711661<53>``` ```Number: 77737_119 N=20658981985042953463256214876589023341189444591628173514720633336839895377202899666191302708846008231 ( 101 digits) SNFS difficulty: 120 digits. Divisors found: r1=1163498636935258841301559273289171500109811062371 (pp49) r2=17755914213582780435344572765135831615074072028711661 (pp53) Version: Msieve v. 1.51 (SVN Official Release) Total time: 1.98 hours. Scaled time: 3.34 units (timescale=1.687). Factorization parameters were as follows: n: 20658981985042953463256214876589023341189444591628173514720633336839895377202899666191302708846008231 m: 500000000000000000000000 c5: 112 c0: -1835 skew: 1.75 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 450001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 110027 x 110252 Total sieving time: 1.91 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,120.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.98 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--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10121-3679

### c103

name 名前 KTakahashi January 8, 2015 14:02:53 UTC 2015 年 1 月 8 日 (木) 23 時 2 分 53 秒 (日本時間) `1924334513469296719469224090743409711272894987717837587492245827835327805586605771876850217527230738789<103>` ```790446503089065127746610660061<30> 42849625866345192331598490127322807<35> 56814743760769056120287750285308312607<38>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM] Input number is 1924334513469296719469224090743409711272894987717837587492245827835327805586605771876850217527230738789 (103 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2449200371 Step 1 took 2589ms Step 2 took 1623ms ********** Factor found in step 2: 790446503089065127746610660061 Found probable prime factor of 30 digits: 790446503089065127746610660061 Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=504320292 Step 1 took 1747ms Step 2 took 1295ms ********** Factor found in step 2: 42849625866345192331598490127322807 Found probable prime factor of 35 digits: 42849625866345192331598490127322807 Probable prime cofactor 56814743760769056120287750285308312607 has 38 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10122-3679

### c119

name 名前 KTakahashi January 8, 2015 14:09:05 UTC 2015 年 1 月 8 日 (木) 23 時 9 分 5 秒 (日本時間) `91395743569656613134874004439221830526178352265308787047917482700091395743569656613134874004439221830526178352265308787<119>` ```7425538085752627622802556542563972495142113281<46> 12308299077344648385780813310292034506334869416883643061111544601758874227<74>``` ```Number: 77737_122 N=91395743569656613134874004439221830526178352265308787047917482700091395743569656613134874004439221830526178352265308787 ( 119 digits) SNFS difficulty: 122 digits. Divisors found: r1=7425538085752627622802556542563972495142113281 (pp46) r2=12308299077344648385780813310292034506334869416883643061111544601758874227 (pp74) Version: Msieve v. 1.51 (SVN Official Release) Total time: 2.80 hours. Scaled time: 4.81 units (timescale=1.718). Factorization parameters were as follows: n: 91395743569656613134874004439221830526178352265308787047917482700091395743569656613134874004439221830526178352265308787 m: 1000000000000000000000000 c5: 700 c0: -367 skew: 0.88 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [300000, 550001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 97460 x 97685 Total sieving time: 2.74 hours. Total relation processing time: 0.02 hours. Matrix solve time: 0.04 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.80 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:08:26 UTC 2015 年 1 月 8 日 (木) 23 時 8 分 26 秒 (日本時間)

## 7×10129-3679

### c106

name 名前 KTakahashi January 8, 2015 14:53:51 UTC 2015 年 1 月 8 日 (木) 23 時 53 分 51 秒 (日本時間) `5186529771534997174869010593027390862411921320008985177948901097521937333476897932175983303651859260562069<106>` ```72741102403950817877049745956399331018381<41> 71301225856226493167646430725346998443329141343312120154545489449<65>``` ```Number: 77737_129 N=5186529771534997174869010593027390862411921320008985177948901097521937333476897932175983303651859260562069 ( 106 digits) SNFS difficulty: 130 digits. Divisors found: r1=72741102403950817877049745956399331018381 (pp41) r2=71301225856226493167646430725346998443329141343312120154545489449 (pp65) Version: Msieve v. 1.51 (SVN Official Release) Total time: 3.10 hours. Scaled time: 5.38 units (timescale=1.737). Factorization parameters were as follows: n: 5186529771534997174869010593027390862411921320008985177948901097521937333476897932175983303651859260562069 m: 50000000000000000000000000 c5: 112 c0: -1835 skew: 1.75 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved rational special-q in [400000, 950001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 117832 x 118080 Total sieving time: 3.03 hours. Total relation processing time: 0.01 hours. Matrix solve time: 0.05 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,130.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 3.10 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:53:20 UTC 2015 年 1 月 8 日 (木) 23 時 53 分 20 秒 (日本時間)

## 7×10134-3679

### c121

name 名前 KTakahashi January 8, 2015 15:15:22 UTC 2015 年 1 月 9 日 (金) 0 時 15 分 22 秒 (日本時間) `1048713236509613041331284999779122882664078400746192584580113356560750313822186876044791464322662928380237127317565362217<121>` ```13844632906177832746347027578296333<35> 75748721083218473183891385797235700689469290059995309572509526326984195484066466174349<86>``` ```Input number is 1048713236509613041331284999779122882664078400746192584580113356560750313822186876044791464322662928380237127317565362217 (121 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=423481762 Step 1 took 3104ms ********** Factor found in step 1: 13844632906177832746347027578296333 Found probable prime factor of 35 digits: 13844632906177832746347027578296333 Probable prime cofactor 75748721083218473183891385797235700689469290059995309572509526326984195484066466174349 has 86 digits``` `GMP-ECM 6.4.4`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10136-3679

### c124

name 名前 Serge Batalov January 8, 2015 23:00:50 UTC 2015 年 1 月 9 日 (金) 8 時 0 分 50 秒 (日本時間) `4795002990858476425106143878846836510392818888112127960083250932404881302628550031984525646008519212781844196700438185493573<124>` ```1372452637615126406850589185256425346271849<43> 3493747514078607923814125422308578486413220444218123504902456499722144595058218877<82>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2376942398 Step 1 took 7984ms Step 2 took 7502ms ********** Factor found in step 2: 1372452637615126406850589185256425346271849 Found probable prime factor of 43 digits: 1372452637615126406850589185256425346271849 Probable prime cofactor ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:15:51 UTC 2015 年 1 月 9 日 (金) 0 時 15 分 51 秒 (日本時間)

## 7×10137-3679

### c132

name 名前 Jo Yeong Uk January 10, 2015 08:11:24 UTC 2015 年 1 月 10 日 (土) 17 時 11 分 24 秒 (日本時間) `157543438664625803949794056966357048797279629925961335689282927535194641542539316653084171633223570568995136183924312531072630000907<132>` ```52477762939554175767603068984298676598783749<44> 3002098981355019864414522758516419982026404158486161833713405459694635685504807034075343<88>``` ```Number: 77737_137 N=157543438664625803949794056966357048797279629925961335689282927535194641542539316653084171633223570568995136183924312531072630000907 ( 132 digits) SNFS difficulty: 137 digits. Divisors found: r1=52477762939554175767603068984298676598783749 r2=3002098981355019864414522758516419982026404158486161833713405459694635685504807034075343 Version: Total time: 1.84 hours. Scaled time: 9.66 units (timescale=5.252). Factorization parameters were as follows: n: 157543438664625803949794056966357048797279629925961335689282927535194641542539316653084171633223570568995136183924312531072630000907 m: 1000000000000000000000000000 deg: 5 c5: 700 c0: -367 skew: 0.88 # Murphy_E = 3.272e-09 type: snfs lss: 1 rlim: 1500000 alim: 1500000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [750000, 1475001) Primes: rational ideals reading, algebraic ideals reading, Relations: 3631206 Max relations in full relation-set: Initial matrix: Pruned matrix : 239523 x 239771 Total sieving time: 1.54 hours. Total relation processing time: 0.23 hours. Matrix solve time: 0.05 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,137,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,25000 total time: 1.84 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:16:02 UTC 2015 年 1 月 9 日 (金) 0 時 16 分 2 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:05:31 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 31 秒 (日本時間)

## 7×10138-3679

### c121

name 名前 KTakahashi January 8, 2015 15:18:20 UTC 2015 年 1 月 9 日 (金) 0 時 18 分 20 秒 (日本時間) `5392418550689870087304598350411187394868136464521280318975333236628899977334233594255498823939525735842158905740785276547<121>` ```432208120577677223692240466711<30> 12476439691791341274631545544076017676828144182200583463559855501079872449777103083400661877<92>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P+1] Input number is 5392418550689870087304598350411187394868136464521280318975333236628899977334233594255498823939525735842158905740785276547 (121 digits) Using B1=500000, B2=342112432, polynomial x^1, x0=2270268000 Step 1 took 312ms Step 2 took 218ms ********** Factor found in step 2: 432208120577677223692240466711 Found probable prime factor of 30 digits: 432208120577677223692240466711 Probable prime cofactor 12476439691791341274631545544076017676828144182200583463559855501079872449777103083400661877 has 92 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10141-3679

### c112

name 名前 Jo Yeong Uk January 13, 2015 13:23:36 UTC 2015 年 1 月 13 日 (火) 22 時 23 分 36 秒 (日本時間) `3731744073806904867144012799828319701620795021712268335635260914561159190029076198040227553087437261401823991113<112>` ```291929215602689847885187724703979050789662839<45> 12783044225644541562175189408320041868052099748536639463492095023167<68>``` ```Number: 77737_141 N=3731744073806904867144012799828319701620795021712268335635260914561159190029076198040227553087437261401823991113 ( 112 digits) SNFS difficulty: 141 digits. Divisors found: r1=291929215602689847885187724703979050789662839 r2=12783044225644541562175189408320041868052099748536639463492095023167 Version: Total time: 2.59 hours. Scaled time: 13.51 units (timescale=5.220). Factorization parameters were as follows: n: 3731744073806904867144012799828319701620795021712268335635260914561159190029076198040227553087437261401823991113 m: 10000000000000000000000000000 deg: 5 c5: 70 c0: -367 skew: 1.39 # Murphy_E = 2.412e-09 type: snfs lss: 1 rlim: 2000000 alim: 2000000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [1000000, 2000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 4340943 Max relations in full relation-set: Initial matrix: Pruned matrix : 295313 x 295561 Total sieving time: 2.30 hours. Total relation processing time: 0.19 hours. Matrix solve time: 0.08 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: snfs,141,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,48,48,2.3,2.3,50000 total time: 2.59 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:18:56 UTC 2015 年 1 月 9 日 (金) 0 時 18 分 56 秒 (日本時間)

## 7×10142-3679

### c134

name 名前 Jo Yeong Uk January 15, 2015 22:15:35 UTC 2015 年 1 月 16 日 (金) 7 時 15 分 35 秒 (日本時間) `21290551869685031003418730670625414848874405583417542712578219803334494541322857824609290794322839914084605792288258509530420062019627<134>` ```1530159463338030427134723364934013179798700238267<49> 13913943206441938553836123799008140802269682010794152121809534196270079735893660160081<86>``` ```Number: 77737_142 N=21290551869685031003418730670625414848874405583417542712578219803334494541322857824609290794322839914084605792288258509530420062019627 ( 134 digits) SNFS difficulty: 142 digits. Divisors found: r1=1530159463338030427134723364934013179798700238267 r2=13913943206441938553836123799008140802269682010794152121809534196270079735893660160081 Version: Total time: 2.84 hours. Scaled time: 14.91 units (timescale=5.256). Factorization parameters were as follows: n: 21290551869685031003418730670625414848874405583417542712578219803334494541322857824609290794322839914084605792288258509530420062019627 m: 10000000000000000000000000000 deg: 5 c5: 700 c0: -367 skew: 0.88 # Murphy_E = 2.141e-09 type: snfs lss: 1 rlim: 2200000 alim: 2200000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 Factor base limits: 2200000/2200000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved rational special-q in [1100000, 2150001) Primes: rational ideals reading, algebraic ideals reading, Relations: 4305296 Max relations in full relation-set: Initial matrix: Pruned matrix : 334574 x 334822 Total sieving time: 2.48 hours. Total relation processing time: 0.20 hours. Matrix solve time: 0.10 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,142,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,48,48,2.3,2.3,50000 total time: 2.84 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:19:08 UTC 2015 年 1 月 9 日 (金) 0 時 19 分 8 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:05:31 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 31 秒 (日本時間)

## 7×10144-3679

### c129

name 名前 Cyp January 17, 2015 03:25:41 UTC 2015 年 1 月 17 日 (土) 12 時 25 分 41 秒 (日本時間) `108825429553603523905299627594879412167043438710401194996456195311305373555445300065252966681149693100954324283226605738147200481<129>` ```3060548431706767683542021570790318056773<40> 35557493038237968310752936456083675306305481842806633378463159869979108773380559014959597<89>``` ```01/17/15 03:32:19 v1.34.3, 01/17/15 03:32:19 v1.34.3, **************************** 01/17/15 03:32:19 v1.34.3, Starting factorization of 108825429553603523905299627594879412167043438710401194996456195311305373555445300065252966681149693100954324283226605738147200481 01/17/15 03:32:19 v1.34.3, using pretesting plan: none 01/17/15 03:32:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/17/15 03:32:19 v1.34.3, **************************** 01/17/15 03:32:19 v1.34.3, nfs: commencing nfs on c129: 108825429553603523905299627594879412167043438710401194996456195311305373555445300065252966681149693100954324283226605738147200481 01/17/15 03:32:19 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/17/15 03:32:19 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/17/15 03:33:03 v1.34.3, nfs: commencing lattice sieving with 8 threads [58 lines snipped] 01/17/15 04:20:07 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/17/15 04:20:56 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/17/15 04:21:46 v1.34.3, nfs: commencing msieve filtering 01/17/15 04:22:33 v1.34.3, nfs: commencing msieve linear algebra 01/17/15 04:24:41 v1.34.3, nfs: commencing msieve sqrt 01/17/15 04:25:40 v1.34.3, prp40 = 3060548431706767683542021570790318056773 01/17/15 04:25:40 v1.34.3, prp89 = 35557493038237968310752936456083675306305481842806633378463159869979108773380559014959597 01/17/15 04:25:40 v1.34.3, NFS elapsed time = 3200.9344 seconds. 01/17/15 04:25:40 v1.34.3, 01/17/15 04:25:40 v1.34.3, 01/17/15 04:25:40 v1.34.3, Total factoring time = 3200.9350 seconds -- Sat Jan 17 04:21:46 2015 Sat Jan 17 04:21:46 2015 commencing relation filtering Sat Jan 17 04:21:46 2015 estimated available RAM is 15987.3 MB Sat Jan 17 04:21:46 2015 commencing duplicate removal, pass 1 Sat Jan 17 04:21:58 2015 found 642857 hash collisions in 4481619 relations Sat Jan 17 04:22:02 2015 added 183065 free relations Sat Jan 17 04:22:02 2015 commencing duplicate removal, pass 2 Sat Jan 17 04:22:05 2015 found 487921 duplicates and 4176763 unique relations Sat Jan 17 04:22:05 2015 memory use: 20.6 MB Sat Jan 17 04:22:05 2015 reading ideals above 100000 Sat Jan 17 04:22:05 2015 commencing singleton removal, initial pass Sat Jan 17 04:22:22 2015 memory use: 94.1 MB Sat Jan 17 04:22:22 2015 reading all ideals from disk Sat Jan 17 04:22:22 2015 memory use: 134.6 MB Sat Jan 17 04:22:22 2015 keeping 4677949 ideals with weight <= 200, target excess is 21661 Sat Jan 17 04:22:22 2015 commencing in-memory singleton removal Sat Jan 17 04:22:22 2015 begin with 4176763 relations and 4677949 unique ideals Sat Jan 17 04:22:23 2015 reduce to 1640973 relations and 1481094 ideals in 13 passes Sat Jan 17 04:22:23 2015 max relations containing the same ideal: 106 Sat Jan 17 04:22:24 2015 removing 335735 relations and 268359 ideals in 67376 cliques Sat Jan 17 04:22:24 2015 commencing in-memory singleton removal Sat Jan 17 04:22:24 2015 begin with 1305238 relations and 1481094 unique ideals Sat Jan 17 04:22:24 2015 reduce to 1252157 relations and 1156970 ideals in 8 passes Sat Jan 17 04:22:24 2015 max relations containing the same ideal: 87 Sat Jan 17 04:22:24 2015 removing 267041 relations and 199665 ideals in 67376 cliques Sat Jan 17 04:22:24 2015 commencing in-memory singleton removal Sat Jan 17 04:22:24 2015 begin with 985116 relations and 1156970 unique ideals Sat Jan 17 04:22:24 2015 reduce to 942898 relations and 912916 ideals in 8 passes Sat Jan 17 04:22:24 2015 max relations containing the same ideal: 72 Sat Jan 17 04:22:25 2015 relations with 0 large ideals: 505 Sat Jan 17 04:22:25 2015 relations with 1 large ideals: 150 Sat Jan 17 04:22:25 2015 relations with 2 large ideals: 2386 Sat Jan 17 04:22:25 2015 relations with 3 large ideals: 19004 Sat Jan 17 04:22:25 2015 relations with 4 large ideals: 81315 Sat Jan 17 04:22:25 2015 relations with 5 large ideals: 195690 Sat Jan 17 04:22:25 2015 relations with 6 large ideals: 283479 Sat Jan 17 04:22:25 2015 relations with 7+ large ideals: 360369 Sat Jan 17 04:22:25 2015 commencing 2-way merge Sat Jan 17 04:22:25 2015 reduce to 576248 relation sets and 546266 unique ideals Sat Jan 17 04:22:25 2015 commencing full merge Sat Jan 17 04:22:31 2015 memory use: 72.9 MB Sat Jan 17 04:22:31 2015 found 287899 cycles, need 280466 Sat Jan 17 04:22:31 2015 weight of 280466 cycles is about 19805671 (70.62/cycle) Sat Jan 17 04:22:31 2015 distribution of cycle lengths: Sat Jan 17 04:22:31 2015 1 relations: 23898 Sat Jan 17 04:22:31 2015 2 relations: 27562 Sat Jan 17 04:22:31 2015 3 relations: 28589 Sat Jan 17 04:22:31 2015 4 relations: 27439 Sat Jan 17 04:22:31 2015 5 relations: 26342 Sat Jan 17 04:22:31 2015 6 relations: 24286 Sat Jan 17 04:22:31 2015 7 relations: 21904 Sat Jan 17 04:22:31 2015 8 relations: 19448 Sat Jan 17 04:22:31 2015 9 relations: 16649 Sat Jan 17 04:22:31 2015 10+ relations: 64349 Sat Jan 17 04:22:31 2015 heaviest cycle: 22 relations Sat Jan 17 04:22:31 2015 commencing cycle optimization Sat Jan 17 04:22:31 2015 start with 1824786 relations Sat Jan 17 04:22:33 2015 pruned 54143 relations Sat Jan 17 04:22:33 2015 memory use: 56.4 MB Sat Jan 17 04:22:33 2015 distribution of cycle lengths: Sat Jan 17 04:22:33 2015 1 relations: 23898 Sat Jan 17 04:22:33 2015 2 relations: 28114 Sat Jan 17 04:22:33 2015 3 relations: 29620 Sat Jan 17 04:22:33 2015 4 relations: 28322 Sat Jan 17 04:22:33 2015 5 relations: 27223 Sat Jan 17 04:22:33 2015 6 relations: 24905 Sat Jan 17 04:22:33 2015 7 relations: 22500 Sat Jan 17 04:22:33 2015 8 relations: 19853 Sat Jan 17 04:22:33 2015 9 relations: 16767 Sat Jan 17 04:22:33 2015 10+ relations: 59264 Sat Jan 17 04:22:33 2015 heaviest cycle: 21 relations Sat Jan 17 04:22:33 2015 RelProcTime: 47 Sat Jan 17 04:22:33 2015 Sat Jan 17 04:22:33 2015 commencing linear algebra Sat Jan 17 04:22:33 2015 read 280466 cycles Sat Jan 17 04:22:33 2015 cycles contain 899002 unique relations Sat Jan 17 04:22:38 2015 read 899002 relations Sat Jan 17 04:22:38 2015 using 20 quadratic characters above 67104648 Sat Jan 17 04:22:41 2015 building initial matrix Sat Jan 17 04:22:46 2015 memory use: 108.2 MB Sat Jan 17 04:22:46 2015 read 280466 cycles Sat Jan 17 04:22:46 2015 matrix is 280294 x 280466 (83.7 MB) with weight 25533751 (91.04/col) Sat Jan 17 04:22:46 2015 sparse part has weight 18854826 (67.23/col) Sat Jan 17 04:22:47 2015 filtering completed in 2 passes Sat Jan 17 04:22:47 2015 matrix is 280121 x 280298 (83.7 MB) with weight 25525907 (91.07/col) Sat Jan 17 04:22:47 2015 sparse part has weight 18851273 (67.25/col) Sat Jan 17 04:22:48 2015 matrix starts at (0, 0) Sat Jan 17 04:22:48 2015 matrix is 280121 x 280298 (83.7 MB) with weight 25525907 (91.07/col) Sat Jan 17 04:22:48 2015 sparse part has weight 18851273 (67.25/col) Sat Jan 17 04:22:48 2015 saving the first 48 matrix rows for later Sat Jan 17 04:22:48 2015 matrix includes 64 packed rows Sat Jan 17 04:22:48 2015 matrix is 280073 x 280298 (79.2 MB) with weight 20111644 (71.75/col) Sat Jan 17 04:22:48 2015 sparse part has weight 17971586 (64.12/col) Sat Jan 17 04:22:48 2015 using block size 65536 for processor cache size 8192 kB Sat Jan 17 04:22:49 2015 commencing Lanczos iteration (8 threads) Sat Jan 17 04:22:49 2015 memory use: 75.7 MB Sat Jan 17 04:22:53 2015 linear algebra at 4.3%, ETA 0h 1m Sat Jan 17 04:24:40 2015 lanczos halted after 4429 iterations (dim = 280073) Sat Jan 17 04:24:41 2015 recovered 39 nontrivial dependencies Sat Jan 17 04:24:41 2015 BLanczosTime: 128 Sat Jan 17 04:24:41 2015 Sat Jan 17 04:24:41 2015 commencing square root phase Sat Jan 17 04:24:41 2015 reading relations for dependency 1 Sat Jan 17 04:24:41 2015 read 140621 cycles Sat Jan 17 04:24:41 2015 cycles contain 450176 unique relations Sat Jan 17 04:24:46 2015 read 450176 relations Sat Jan 17 04:24:46 2015 multiplying 450176 relations Sat Jan 17 04:24:53 2015 multiply complete, coefficients have about 12.27 million bits Sat Jan 17 04:24:53 2015 initial square root is modulo 11192021 Sat Jan 17 04:25:01 2015 Newton iteration failed to converge Sat Jan 17 04:25:01 2015 algebraic square root failed Sat Jan 17 04:25:01 2015 reading relations for dependency 2 Sat Jan 17 04:25:01 2015 read 139477 cycles Sat Jan 17 04:25:02 2015 cycles contain 448310 unique relations Sat Jan 17 04:25:05 2015 read 448310 relations Sat Jan 17 04:25:06 2015 multiplying 448310 relations Sat Jan 17 04:25:12 2015 multiply complete, coefficients have about 12.21 million bits Sat Jan 17 04:25:12 2015 initial square root is modulo 10442891 Sat Jan 17 04:25:21 2015 GCD is 1, no factor found Sat Jan 17 04:25:21 2015 reading relations for dependency 3 Sat Jan 17 04:25:21 2015 read 139868 cycles Sat Jan 17 04:25:21 2015 cycles contain 448944 unique relations Sat Jan 17 04:25:24 2015 read 448944 relations Sat Jan 17 04:25:25 2015 multiplying 448944 relations Sat Jan 17 04:25:31 2015 multiply complete, coefficients have about 12.23 million bits Sat Jan 17 04:25:31 2015 initial square root is modulo 10685261 Sat Jan 17 04:25:40 2015 sqrtTime: 59 -- n: 108825429553603523905299627594879412167043438710401194996456195311305373555445300065252966681149693100954324283226605738147200481 m: 50000000000000000000000000000 deg: 5 c5: 112 c0: -1835 skew: 1.75 # Murphy_E = 1.888e-09 type: snfs lss: 1 rlim: 1870000 alim: 1870000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:19:28 UTC 2015 年 1 月 9 日 (金) 0 時 19 分 28 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:05:32 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 32 秒 (日本時間)

## 7×10145-3679

### c114

name 名前 Jo Yeong Uk January 18, 2015 00:29:26 UTC 2015 年 1 月 18 日 (日) 9 時 29 分 26 秒 (日本時間) `624777958683321938883901509034653707960378321092808263595153683648271054276591908471782092595742781459560112866261<114>` ```46069210778478341778267949667681755244586359<44> 13561724807649466942709558378211570910077883790915248339418764328412179<71>``` ```Number: 77737_145 N=624777958683321938883901509034653707960378321092808263595153683648271054276591908471782092595742781459560112866261 ( 114 digits) SNFS difficulty: 145 digits. Divisors found: r1=46069210778478341778267949667681755244586359 r2=13561724807649466942709558378211570910077883790915248339418764328412179 Version: Total time: 2.68 hours. Scaled time: 13.76 units (timescale=5.130). Factorization parameters were as follows: n: 624777958683321938883901509034653707960378321092808263595153683648271054276591908471782092595742781459560112866261 m: 100000000000000000000000000000 deg: 5 c5: 7 c0: -367 skew: 2.21 # Murphy_E = 2.254e-09 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, 2150001) Primes: rational ideals reading, algebraic ideals reading, Relations: 4640599 Max relations in full relation-set: Initial matrix: Pruned matrix : 318043 x 318291 Total sieving time: 2.38 hours. Total relation processing time: 0.19 hours. Matrix solve time: 0.09 hours. Time per square root: 0.01 hours. Prototype def-par.txt line would be: snfs,145,5,0,0,0,0,0,0,0,0,2400000,2400000,26,26,49,49,2.3,2.3,50000 total time: 2.68 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:19:47 UTC 2015 年 1 月 9 日 (金) 0 時 19 分 47 秒 (日本時間)

## 7×10146-3679

### c136

name 名前 Cyp January 15, 2015 23:33:57 UTC 2015 年 1 月 16 日 (金) 8 時 33 分 57 秒 (日本時間) `2851386439594323224623639445354607749543654310529733805934917224673684136902746115299947305359836656131751471602518096444235007324244349<136>` ```2421532408544151120761083289678584465152674017322700383<55> 1177513226555825670652055763871233867355115348242081382228996808388053110431530403<82>``` ```01/15/15 22:24:58 v1.34.3, 01/15/15 22:24:58 v1.34.3, **************************** 01/15/15 22:24:58 v1.34.3, Starting factorization of 2851386439594323224623639445354607749543654310529733805934917224673684136902746115299947305359836656131751471602518096444235007324244349 01/15/15 22:24:58 v1.34.3, using pretesting plan: none 01/15/15 22:24:58 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/15/15 22:24:58 v1.34.3, **************************** 01/15/15 22:24:58 v1.34.3, nfs: commencing nfs on c136: 2851386439594323224623639445354607749543654310529733805934917224673684136902746115299947305359836656131751471602518096444235007324244349 01/15/15 22:24:58 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/15/15 22:24:58 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 22:25:53 v1.34.3, nfs: commencing lattice sieving with 8 threads [3 lines snipped] 01/15/15 22:29:34 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 22:30:30 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 23:33:41 v1.34.3, 01/15/15 23:33:41 v1.34.3, **************************** 01/15/15 23:33:41 v1.34.3, Starting factorization of 2851386439594323224623639445354607749543654310529733805934917224673684136902746115299947305359836656131751471602518096444235007324244349 01/15/15 23:33:41 v1.34.3, using pretesting plan: none 01/15/15 23:33:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/15/15 23:33:41 v1.34.3, **************************** 01/15/15 23:33:41 v1.34.3, nfs: previous data file found - commencing search for last special-q 01/15/15 23:33:42 v1.34.3, nfs: parsing special-q from .dat file 01/15/15 23:33:42 v1.34.3, nfs: commencing nfs on c136: 2851386439594323224623639445354607749543654310529733805934917224673684136902746115299947305359836656131751471602518096444235007324244349 01/15/15 23:33:42 v1.34.3, nfs: resuming with filtering 01/15/15 23:33:42 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 23:34:36 v1.34.3, nfs: commencing lattice sieving with 8 threads [54 lines snipped] 01/16/15 00:26:56 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 00:27:54 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 00:28:51 v1.34.3, nfs: commencing msieve filtering 01/16/15 00:29:40 v1.34.3, nfs: commencing msieve linear algebra 01/16/15 00:32:42 v1.34.3, nfs: commencing msieve sqrt 01/16/15 00:33:56 v1.34.3, prp55 = 2421532408544151120761083289678584465152674017322700383 01/16/15 00:33:56 v1.34.3, prp82 = 1177513226555825670652055763871233867355115348242081382228996808388053110431530403 01/16/15 00:33:56 v1.34.3, NFS elapsed time = 3614.5262 seconds. 01/16/15 00:33:56 v1.34.3, 01/16/15 00:33:56 v1.34.3, 01/16/15 00:33:56 v1.34.3, Total factoring time = 3614.5340 seconds -- Fri Jan 16 00:28:51 2015 Fri Jan 16 00:28:51 2015 commencing relation filtering Fri Jan 16 00:28:51 2015 estimated available RAM is 15987.3 MB Fri Jan 16 00:28:51 2015 commencing duplicate removal, pass 1 Fri Jan 16 00:29:03 2015 found 691227 hash collisions in 4524852 relations Fri Jan 16 00:29:07 2015 added 184209 free relations Fri Jan 16 00:29:07 2015 commencing duplicate removal, pass 2 Fri Jan 16 00:29:10 2015 found 548124 duplicates and 4160937 unique relations Fri Jan 16 00:29:10 2015 memory use: 20.6 MB Fri Jan 16 00:29:10 2015 reading ideals above 100000 Fri Jan 16 00:29:10 2015 commencing singleton removal, initial pass Fri Jan 16 00:29:27 2015 memory use: 94.1 MB Fri Jan 16 00:29:27 2015 reading all ideals from disk Fri Jan 16 00:29:27 2015 memory use: 135.9 MB Fri Jan 16 00:29:27 2015 keeping 4747473 ideals with weight <= 200, target excess is 21739 Fri Jan 16 00:29:28 2015 commencing in-memory singleton removal Fri Jan 16 00:29:28 2015 begin with 4160937 relations and 4747473 unique ideals Fri Jan 16 00:29:29 2015 reduce to 1556053 relations and 1467399 ideals in 15 passes Fri Jan 16 00:29:29 2015 max relations containing the same ideal: 105 Fri Jan 16 00:29:29 2015 removing 218864 relations and 187146 ideals in 31718 cliques Fri Jan 16 00:29:29 2015 commencing in-memory singleton removal Fri Jan 16 00:29:29 2015 begin with 1337189 relations and 1467399 unique ideals Fri Jan 16 00:29:29 2015 reduce to 1313009 relations and 1255405 ideals in 8 passes Fri Jan 16 00:29:29 2015 max relations containing the same ideal: 93 Fri Jan 16 00:29:30 2015 removing 167942 relations and 136224 ideals in 31718 cliques Fri Jan 16 00:29:30 2015 commencing in-memory singleton removal Fri Jan 16 00:29:30 2015 begin with 1145067 relations and 1255405 unique ideals Fri Jan 16 00:29:30 2015 reduce to 1128677 relations and 1102420 ideals in 7 passes Fri Jan 16 00:29:30 2015 max relations containing the same ideal: 83 Fri Jan 16 00:29:30 2015 relations with 0 large ideals: 479 Fri Jan 16 00:29:30 2015 relations with 1 large ideals: 113 Fri Jan 16 00:29:30 2015 relations with 2 large ideals: 1846 Fri Jan 16 00:29:30 2015 relations with 3 large ideals: 17132 Fri Jan 16 00:29:30 2015 relations with 4 large ideals: 78484 Fri Jan 16 00:29:30 2015 relations with 5 large ideals: 208105 Fri Jan 16 00:29:30 2015 relations with 6 large ideals: 332589 Fri Jan 16 00:29:30 2015 relations with 7+ large ideals: 489929 Fri Jan 16 00:29:30 2015 commencing 2-way merge Fri Jan 16 00:29:30 2015 reduce to 682756 relation sets and 656498 unique ideals Fri Jan 16 00:29:30 2015 commencing full merge Fri Jan 16 00:29:37 2015 memory use: 86.2 MB Fri Jan 16 00:29:38 2015 found 340266 cycles, need 336698 Fri Jan 16 00:29:38 2015 weight of 336698 cycles is about 23952880 (71.14/cycle) Fri Jan 16 00:29:38 2015 distribution of cycle lengths: Fri Jan 16 00:29:38 2015 1 relations: 32805 Fri Jan 16 00:29:38 2015 2 relations: 35420 Fri Jan 16 00:29:38 2015 3 relations: 35524 Fri Jan 16 00:29:38 2015 4 relations: 32942 Fri Jan 16 00:29:38 2015 5 relations: 30066 Fri Jan 16 00:29:38 2015 6 relations: 27154 Fri Jan 16 00:29:38 2015 7 relations: 24017 Fri Jan 16 00:29:38 2015 8 relations: 20953 Fri Jan 16 00:29:38 2015 9 relations: 18434 Fri Jan 16 00:29:38 2015 10+ relations: 79383 Fri Jan 16 00:29:38 2015 heaviest cycle: 24 relations Fri Jan 16 00:29:38 2015 commencing cycle optimization Fri Jan 16 00:29:38 2015 start with 2205406 relations Fri Jan 16 00:29:40 2015 pruned 61082 relations Fri Jan 16 00:29:40 2015 memory use: 68.6 MB Fri Jan 16 00:29:40 2015 distribution of cycle lengths: Fri Jan 16 00:29:40 2015 1 relations: 32805 Fri Jan 16 00:29:40 2015 2 relations: 36136 Fri Jan 16 00:29:40 2015 3 relations: 36751 Fri Jan 16 00:29:40 2015 4 relations: 33684 Fri Jan 16 00:29:40 2015 5 relations: 30942 Fri Jan 16 00:29:40 2015 6 relations: 27870 Fri Jan 16 00:29:40 2015 7 relations: 24436 Fri Jan 16 00:29:40 2015 8 relations: 21184 Fri Jan 16 00:29:40 2015 9 relations: 18476 Fri Jan 16 00:29:40 2015 10+ relations: 74414 Fri Jan 16 00:29:40 2015 heaviest cycle: 24 relations Fri Jan 16 00:29:40 2015 RelProcTime: 49 Fri Jan 16 00:29:40 2015 Fri Jan 16 00:29:40 2015 commencing linear algebra Fri Jan 16 00:29:40 2015 read 336698 cycles Fri Jan 16 00:29:41 2015 cycles contain 1102122 unique relations Fri Jan 16 00:29:46 2015 read 1102122 relations Fri Jan 16 00:29:46 2015 using 20 quadratic characters above 67108208 Fri Jan 16 00:29:49 2015 building initial matrix Fri Jan 16 00:29:55 2015 memory use: 136.2 MB Fri Jan 16 00:29:55 2015 read 336698 cycles Fri Jan 16 00:29:55 2015 matrix is 336539 x 336698 (101.6 MB) with weight 30749547 (91.33/col) Fri Jan 16 00:29:55 2015 sparse part has weight 22931774 (68.11/col) Fri Jan 16 00:29:56 2015 filtering completed in 2 passes Fri Jan 16 00:29:56 2015 matrix is 336398 x 336570 (101.6 MB) with weight 30744511 (91.35/col) Fri Jan 16 00:29:56 2015 sparse part has weight 22929869 (68.13/col) Fri Jan 16 00:29:57 2015 matrix starts at (0, 0) Fri Jan 16 00:29:57 2015 matrix is 336398 x 336570 (101.6 MB) with weight 30744511 (91.35/col) Fri Jan 16 00:29:57 2015 sparse part has weight 22929869 (68.13/col) Fri Jan 16 00:29:57 2015 saving the first 48 matrix rows for later Fri Jan 16 00:29:57 2015 matrix includes 64 packed rows Fri Jan 16 00:29:57 2015 matrix is 336350 x 336570 (95.8 MB) with weight 24160725 (71.79/col) Fri Jan 16 00:29:57 2015 sparse part has weight 21741109 (64.60/col) Fri Jan 16 00:29:57 2015 using block size 65536 for processor cache size 8192 kB Fri Jan 16 00:29:58 2015 commencing Lanczos iteration (8 threads) Fri Jan 16 00:29:58 2015 memory use: 91.9 MB Fri Jan 16 00:30:03 2015 linear algebra at 3.6%, ETA 0h 2m Fri Jan 16 00:32:41 2015 lanczos halted after 5321 iterations (dim = 336344) Fri Jan 16 00:32:42 2015 recovered 33 nontrivial dependencies Fri Jan 16 00:32:42 2015 BLanczosTime: 182 Fri Jan 16 00:32:42 2015 Fri Jan 16 00:32:42 2015 commencing square root phase Fri Jan 16 00:32:42 2015 reading relations for dependency 1 Fri Jan 16 00:32:42 2015 read 168256 cycles Fri Jan 16 00:32:42 2015 cycles contain 550178 unique relations Fri Jan 16 00:32:46 2015 read 550178 relations Fri Jan 16 00:32:47 2015 multiplying 550178 relations Fri Jan 16 00:32:55 2015 multiply complete, coefficients have about 14.58 million bits Fri Jan 16 00:32:55 2015 initial square root is modulo 239748731 Fri Jan 16 00:33:06 2015 GCD is 1, no factor found Fri Jan 16 00:33:06 2015 reading relations for dependency 2 Fri Jan 16 00:33:06 2015 read 168018 cycles Fri Jan 16 00:33:07 2015 cycles contain 550916 unique relations Fri Jan 16 00:33:10 2015 read 550916 relations Fri Jan 16 00:33:11 2015 multiplying 550916 relations Fri Jan 16 00:33:20 2015 multiply complete, coefficients have about 14.60 million bits Fri Jan 16 00:33:20 2015 initial square root is modulo 246057241 Fri Jan 16 00:33:31 2015 GCD is 1, no factor found Fri Jan 16 00:33:31 2015 reading relations for dependency 3 Fri Jan 16 00:33:31 2015 read 168232 cycles Fri Jan 16 00:33:31 2015 cycles contain 550818 unique relations Fri Jan 16 00:33:35 2015 read 550818 relations Fri Jan 16 00:33:36 2015 multiplying 550818 relations Fri Jan 16 00:33:45 2015 multiply complete, coefficients have about 14.60 million bits Fri Jan 16 00:33:45 2015 initial square root is modulo 245133661 Fri Jan 16 00:33:56 2015 sqrtTime: 74 -- n: 2851386439594323224623639445354607749543654310529733805934917224673684136902746115299947305359836656131751471602518096444235007324244349 m: 100000000000000000000000000000 deg: 5 c5: 70 c0: -367 skew: 1.39 # Murphy_E = 1.57e-09 type: snfs lss: 1 rlim: 1960000 alim: 1960000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:20:08 UTC 2015 年 1 月 9 日 (金) 0 時 20 分 8 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:05:32 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 32 秒 (日本時間)

## 7×10147-3679

### c116

name 名前 Jo Yeong Uk January 18, 2015 11:56:06 UTC 2015 年 1 月 18 日 (日) 20 時 56 分 6 秒 (日本時間) `23321505495477190088861461864681476695377791732144028846636134752324145684040884047313227346666609705622209160986413<116>` ```128708622837572716855344008155937<33> 181196138854724493784198128574057546119567016579688127885959405973641542029495121549<84>``` ```Number: 77737_147 N=23321505495477190088861461864681476695377791732144028846636134752324145684040884047313227346666609705622209160986413 ( 116 digits) SNFS difficulty: 147 digits. Divisors found: r1=128708622837572716855344008155937 r2=181196138854724493784198128574057546119567016579688127885959405973641542029495121549 Version: Total time: 4.43 hours. Scaled time: 23.26 units (timescale=5.256). Factorization parameters were as follows: n: 23321505495477190088861461864681476695377791732144028846636134752324145684040884047313227346666609705622209160986413 m: 100000000000000000000000000000 deg: 5 c5: 700 c0: -367 skew: 0.88 # Murphy_E = 1.393e-09 type: snfs lss: 1 rlim: 2800000 alim: 2800000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [1400000, 2900001) Primes: rational ideals reading, algebraic ideals reading, Relations: 5049074 Max relations in full relation-set: Initial matrix: Pruned matrix : 414652 x 414900 Total sieving time: 3.88 hours. Total relation processing time: 0.34 hours. Matrix solve time: 0.16 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,2800000,2800000,26,26,49,49,2.3,2.3,50000 total time: 4.43 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:20:27 UTC 2015 年 1 月 9 日 (金) 0 時 20 分 27 秒 (日本時間)

## 7×10148-3679

### c134

name 名前 KTakahashi January 8, 2015 15:22:13 UTC 2015 年 1 月 9 日 (金) 0 時 22 分 13 秒 (日本時間) `26512062909349007529487467957801518818020340997130000218086333944193355977658857067100161743100668003202343706278304667410061740310363<134>` ```47373777592979395234023183101855089<35> 209390170461411931289955139623277293648246077<45> 2672693849968146176717585552616264994616559861169901671<55>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM] Input number is 26512062909349007529487467957801518818020340997130000218086333944193355977658857067100161743100668003202343706278304667410061740310363 (134 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=297889136 Step 1 took 3089ms Step 2 took 1996ms ********** Factor found in step 2: 47373777592979395234023183101855089 Found probable prime factor of 35 digits: 47373777592979395234023183101855089 Composite cofactor 559635820835997453588333215179180423279107158489228212818647470354216115026180444816109991701494667 has 99 digits Number: 77737_148 N=559635820835997453588333215179180423279107158489228212818647470354216115026180444816109991701494667 ( 99 digits) Divisors found: r1=209390170461411931289955139623277293648246077 (pp45) r2=2672693849968146176717585552616264994616559861169901671 (pp55) Version: Msieve v. 1.51 (SVN Official Release) Total time: 4.95 hours. Scaled time: 8.63 units (timescale=1.742). Factorization parameters were as follows: name: 77737_148 n: 559635820835997453588333215179180423279107158489228212818647470354216115026180444816109991701494667 skew: 1693.42 # norm 1.85e+013 c5: 406080 c4: 992535906 c3: -4762699395032 c2: -4879330670290331 c1: 4778450409100687552 c0: -611990452703381720495 # alpha -5.53 Y1: 26646458543 Y0: -4244802107159386634 # Murphy_E 4.39e-009 # M 372642400554741615283480340537062233233807747484474552478650043550670364524664450492602183717390675 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, 1300001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 221046 x 221294 Polynomial selection time: 0.33 hours. Total sieving time: 4.37 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.16 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 4.95 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:20:58 UTC 2015 年 1 月 9 日 (金) 0 時 20 分 58 秒 (日本時間)

## 7×10149-3679

### c127

name 名前 Cyp January 17, 2015 12:12:45 UTC 2015 年 1 月 17 日 (土) 21 時 12 分 45 秒 (日本時間) `1604051534147537555876644670110044441466911902461023828333570593191260630250713242716200605784598923579215727251369280991250491<127>` ```54697073472766066068427214226342215745356043191<47> 29326094291794285306515421546242982013133269624165334549864470820928453819750301<80>``` ```01/17/15 10:33:57 v1.34.3, 01/17/15 10:33:57 v1.34.3, **************************** 01/17/15 10:33:57 v1.34.3, Starting factorization of 1604051534147537555876644670110044441466911902461023828333570593191260630250713242716200605784598923579215727251369280991250491 01/17/15 10:33:57 v1.34.3, using pretesting plan: none 01/17/15 10:33:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/17/15 10:33:57 v1.34.3, **************************** 01/17/15 10:33:57 v1.34.3, nfs: commencing nfs on c127: 1604051534147537555876644670110044441466911902461023828333570593191260630250713242716200605784598923579215727251369280991250491 01/17/15 10:33:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/17/15 10:33:57 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/17/15 10:34:55 v1.34.3, nfs: commencing lattice sieving with 8 threads [112 lines snipped] 01/17/15 13:05:44 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/17/15 13:06:38 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/17/15 13:07:30 v1.34.3, nfs: commencing msieve filtering 01/17/15 13:09:11 v1.34.3, nfs: commencing msieve linear algebra 01/17/15 13:11:57 v1.34.3, nfs: commencing msieve sqrt 01/17/15 13:12:44 v1.34.3, prp47 = 54697073472766066068427214226342215745356043191 01/17/15 13:12:44 v1.34.3, prp80 = 29326094291794285306515421546242982013133269624165334549864470820928453819750301 01/17/15 13:12:44 v1.34.3, NFS elapsed time = 9527.6547 seconds. 01/17/15 13:12:44 v1.34.3, 01/17/15 13:12:44 v1.34.3, 01/17/15 13:12:44 v1.34.3, Total factoring time = 9527.6738 seconds -- Sat Jan 17 13:07:30 2015 Sat Jan 17 13:07:30 2015 commencing relation filtering Sat Jan 17 13:07:30 2015 estimated available RAM is 15987.3 MB Sat Jan 17 13:07:30 2015 commencing duplicate removal, pass 1 Sat Jan 17 13:07:59 2015 found 1678342 hash collisions in 10081518 relations Sat Jan 17 13:08:06 2015 added 346286 free relations Sat Jan 17 13:08:06 2015 commencing duplicate removal, pass 2 Sat Jan 17 13:08:14 2015 found 1352067 duplicates and 9075737 unique relations Sat Jan 17 13:08:14 2015 memory use: 41.3 MB Sat Jan 17 13:08:14 2015 reading ideals above 100000 Sat Jan 17 13:08:14 2015 commencing singleton removal, initial pass Sat Jan 17 13:08:53 2015 memory use: 188.2 MB Sat Jan 17 13:08:53 2015 reading all ideals from disk Sat Jan 17 13:08:53 2015 memory use: 299.8 MB Sat Jan 17 13:08:53 2015 keeping 8973728 ideals with weight <= 200, target excess is 46849 Sat Jan 17 13:08:53 2015 commencing in-memory singleton removal Sat Jan 17 13:08:54 2015 begin with 9075737 relations and 8973728 unique ideals Sat Jan 17 13:08:57 2015 reduce to 4545514 relations and 3333585 ideals in 10 passes Sat Jan 17 13:08:57 2015 max relations containing the same ideal: 127 Sat Jan 17 13:08:59 2015 removing 1171889 relations and 771889 ideals in 400000 cliques Sat Jan 17 13:08:59 2015 commencing in-memory singleton removal Sat Jan 17 13:08:59 2015 begin with 3373625 relations and 3333585 unique ideals Sat Jan 17 13:09:00 2015 reduce to 3207721 relations and 2379420 ideals in 7 passes Sat Jan 17 13:09:00 2015 max relations containing the same ideal: 100 Sat Jan 17 13:09:00 2015 removing 1009314 relations and 609314 ideals in 400000 cliques Sat Jan 17 13:09:01 2015 commencing in-memory singleton removal Sat Jan 17 13:09:01 2015 begin with 2198407 relations and 2379420 unique ideals Sat Jan 17 13:09:01 2015 reduce to 2069694 relations and 1627354 ideals in 7 passes Sat Jan 17 13:09:01 2015 max relations containing the same ideal: 73 Sat Jan 17 13:09:02 2015 removing 924447 relations and 536452 ideals in 387995 cliques Sat Jan 17 13:09:02 2015 commencing in-memory singleton removal Sat Jan 17 13:09:02 2015 begin with 1145247 relations and 1627354 unique ideals Sat Jan 17 13:09:02 2015 reduce to 1011794 relations and 939581 ideals in 9 passes Sat Jan 17 13:09:02 2015 max relations containing the same ideal: 43 Sat Jan 17 13:09:02 2015 removing 81724 relations and 63856 ideals in 17868 cliques Sat Jan 17 13:09:02 2015 commencing in-memory singleton removal Sat Jan 17 13:09:02 2015 begin with 930070 relations and 939581 unique ideals Sat Jan 17 13:09:02 2015 reduce to 923748 relations and 869262 ideals in 6 passes Sat Jan 17 13:09:02 2015 max relations containing the same ideal: 41 Sat Jan 17 13:09:03 2015 relations with 0 large ideals: 1073 Sat Jan 17 13:09:03 2015 relations with 1 large ideals: 1138 Sat Jan 17 13:09:03 2015 relations with 2 large ideals: 14376 Sat Jan 17 13:09:03 2015 relations with 3 large ideals: 70402 Sat Jan 17 13:09:03 2015 relations with 4 large ideals: 177153 Sat Jan 17 13:09:03 2015 relations with 5 large ideals: 258771 Sat Jan 17 13:09:03 2015 relations with 6 large ideals: 237545 Sat Jan 17 13:09:03 2015 relations with 7+ large ideals: 163290 Sat Jan 17 13:09:03 2015 commencing 2-way merge Sat Jan 17 13:09:03 2015 reduce to 666131 relation sets and 611645 unique ideals Sat Jan 17 13:09:03 2015 commencing full merge Sat Jan 17 13:09:08 2015 memory use: 72.7 MB Sat Jan 17 13:09:08 2015 found 326844 cycles, need 319845 Sat Jan 17 13:09:09 2015 weight of 319845 cycles is about 22405219 (70.05/cycle) Sat Jan 17 13:09:09 2015 distribution of cycle lengths: Sat Jan 17 13:09:09 2015 1 relations: 18867 Sat Jan 17 13:09:09 2015 2 relations: 31947 Sat Jan 17 13:09:09 2015 3 relations: 38683 Sat Jan 17 13:09:09 2015 4 relations: 37421 Sat Jan 17 13:09:09 2015 5 relations: 34851 Sat Jan 17 13:09:09 2015 6 relations: 29602 Sat Jan 17 13:09:09 2015 7 relations: 25106 Sat Jan 17 13:09:09 2015 8 relations: 21233 Sat Jan 17 13:09:09 2015 9 relations: 17489 Sat Jan 17 13:09:09 2015 10+ relations: 64646 Sat Jan 17 13:09:09 2015 heaviest cycle: 21 relations Sat Jan 17 13:09:09 2015 commencing cycle optimization Sat Jan 17 13:09:09 2015 start with 2019747 relations Sat Jan 17 13:09:11 2015 pruned 81499 relations Sat Jan 17 13:09:11 2015 memory use: 58.9 MB Sat Jan 17 13:09:11 2015 distribution of cycle lengths: Sat Jan 17 13:09:11 2015 1 relations: 18867 Sat Jan 17 13:09:11 2015 2 relations: 32835 Sat Jan 17 13:09:11 2015 3 relations: 40480 Sat Jan 17 13:09:11 2015 4 relations: 39054 Sat Jan 17 13:09:11 2015 5 relations: 36555 Sat Jan 17 13:09:11 2015 6 relations: 30678 Sat Jan 17 13:09:11 2015 7 relations: 25839 Sat Jan 17 13:09:11 2015 8 relations: 21158 Sat Jan 17 13:09:11 2015 9 relations: 17311 Sat Jan 17 13:09:11 2015 10+ relations: 57068 Sat Jan 17 13:09:11 2015 heaviest cycle: 20 relations Sat Jan 17 13:09:11 2015 RelProcTime: 101 Sat Jan 17 13:09:11 2015 Sat Jan 17 13:09:11 2015 commencing linear algebra Sat Jan 17 13:09:11 2015 read 319845 cycles Sat Jan 17 13:09:11 2015 cycles contain 894405 unique relations Sat Jan 17 13:09:19 2015 read 894405 relations Sat Jan 17 13:09:20 2015 using 20 quadratic characters above 134190342 Sat Jan 17 13:09:23 2015 building initial matrix Sat Jan 17 13:09:28 2015 memory use: 110.7 MB Sat Jan 17 13:09:28 2015 read 319845 cycles Sat Jan 17 13:09:28 2015 matrix is 319668 x 319845 (94.1 MB) with weight 28782867 (89.99/col) Sat Jan 17 13:09:28 2015 sparse part has weight 21145409 (66.11/col) Sat Jan 17 13:09:29 2015 filtering completed in 2 passes Sat Jan 17 13:09:29 2015 matrix is 319513 x 319690 (94.1 MB) with weight 28775719 (90.01/col) Sat Jan 17 13:09:29 2015 sparse part has weight 21142118 (66.13/col) Sat Jan 17 13:09:29 2015 matrix starts at (0, 0) Sat Jan 17 13:09:29 2015 matrix is 319513 x 319690 (94.1 MB) with weight 28775719 (90.01/col) Sat Jan 17 13:09:29 2015 sparse part has weight 21142118 (66.13/col) Sat Jan 17 13:09:29 2015 saving the first 48 matrix rows for later Sat Jan 17 13:09:30 2015 matrix includes 64 packed rows Sat Jan 17 13:09:30 2015 matrix is 319465 x 319690 (89.1 MB) with weight 22593301 (70.67/col) Sat Jan 17 13:09:30 2015 sparse part has weight 20166163 (63.08/col) Sat Jan 17 13:09:30 2015 using block size 65536 for processor cache size 8192 kB Sat Jan 17 13:09:30 2015 commencing Lanczos iteration (8 threads) Sat Jan 17 13:09:30 2015 memory use: 85.4 MB Sat Jan 17 13:09:36 2015 linear algebra at 3.8%, ETA 0h 2m Sat Jan 17 13:11:57 2015 lanczos halted after 5055 iterations (dim = 319463) Sat Jan 17 13:11:57 2015 recovered 38 nontrivial dependencies Sat Jan 17 13:11:57 2015 BLanczosTime: 166 Sat Jan 17 13:11:57 2015 Sat Jan 17 13:11:57 2015 commencing square root phase Sat Jan 17 13:11:57 2015 reading relations for dependency 1 Sat Jan 17 13:11:57 2015 read 160164 cycles Sat Jan 17 13:11:57 2015 cycles contain 447574 unique relations Sat Jan 17 13:12:04 2015 read 447574 relations Sat Jan 17 13:12:05 2015 multiplying 447574 relations Sat Jan 17 13:12:12 2015 multiply complete, coefficients have about 12.32 million bits Sat Jan 17 13:12:12 2015 initial square root is modulo 11958521 Sat Jan 17 13:12:21 2015 GCD is N, no factor found Sat Jan 17 13:12:21 2015 reading relations for dependency 2 Sat Jan 17 13:12:21 2015 read 159703 cycles Sat Jan 17 13:12:21 2015 cycles contain 446916 unique relations Sat Jan 17 13:12:28 2015 read 446916 relations Sat Jan 17 13:12:29 2015 multiplying 446916 relations Sat Jan 17 13:12:35 2015 multiply complete, coefficients have about 12.30 million bits Sat Jan 17 13:12:35 2015 initial square root is modulo 11693441 Sat Jan 17 13:12:44 2015 sqrtTime: 47 -- n: 1604051534147537555876644670110044441466911902461023828333570593191260630250713242716200605784598923579215727251369280991250491 m: 500000000000000000000000000000 deg: 5 c5: 112 c0: -1835 skew: 1.75 # Murphy_E = 1.224e-09 type: snfs lss: 1 rlim: 2300000 alim: 2300000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:22:35 UTC 2015 年 1 月 9 日 (金) 0 時 22 分 35 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:05:33 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 33 秒 (日本時間)

## 7×10150-3679

### c135

name 名前 Cyp January 16, 2015 02:46:29 UTC 2015 年 1 月 16 日 (金) 11 時 46 分 29 秒 (日本時間) `350855913319179356323129708010929140160872177465337160414530581464882295238364829683277667362547349196326531622973686307294022882255729<135>` ```49114528673122746327104449868823131581418570422910779996314301<62> 7143627818445918495482867110500170885277756254262397869484044216062841029<73>``` ```01/16/15 02:07:26 v1.34.3, 01/16/15 02:07:26 v1.34.3, **************************** 01/16/15 02:07:26 v1.34.3, Starting factorization of 350855913319179356323129708010929140160872177465337160414530581464882295238364829683277667362547349196326531622973686307294022882255729 01/16/15 02:07:26 v1.34.3, using pretesting plan: none 01/16/15 02:07:26 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/16/15 02:07:26 v1.34.3, **************************** 01/16/15 02:07:26 v1.34.3, nfs: commencing nfs on c135: 350855913319179356323129708010929140160872177465337160414530581464882295238364829683277667362547349196326531622973686307294022882255729 01/16/15 02:07:26 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/16/15 02:07:26 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 02:08:21 v1.34.3, nfs: commencing lattice sieving with 8 threads [100 lines snipped] 01/16/15 03:40:15 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 03:41:11 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/16/15 03:42:06 v1.34.3, nfs: commencing msieve filtering 01/16/15 03:43:42 v1.34.3, nfs: commencing msieve linear algebra 01/16/15 03:46:08 v1.34.3, nfs: commencing msieve sqrt 01/16/15 03:46:28 v1.34.3, prp62 = 49114528673122746327104449868823131581418570422910779996314301 01/16/15 03:46:28 v1.34.3, prp73 = 7143627818445918495482867110500170885277756254262397869484044216062841029 01/16/15 03:46:28 v1.34.3, NFS elapsed time = 5941.8736 seconds. 01/16/15 03:46:28 v1.34.3, 01/16/15 03:46:28 v1.34.3, 01/16/15 03:46:28 v1.34.3, Total factoring time = 5941.8742 seconds -- Fri Jan 16 03:42:06 2015 Fri Jan 16 03:42:06 2015 commencing relation filtering Fri Jan 16 03:42:06 2015 estimated available RAM is 15987.3 MB Fri Jan 16 03:42:06 2015 commencing duplicate removal, pass 1 Fri Jan 16 03:42:32 2015 found 1630750 hash collisions in 10116156 relations Fri Jan 16 03:42:40 2015 added 347381 free relations Fri Jan 16 03:42:40 2015 commencing duplicate removal, pass 2 Fri Jan 16 03:42:47 2015 found 1279690 duplicates and 9183847 unique relations Fri Jan 16 03:42:47 2015 memory use: 41.3 MB Fri Jan 16 03:42:47 2015 reading ideals above 100000 Fri Jan 16 03:42:47 2015 commencing singleton removal, initial pass Fri Jan 16 03:43:26 2015 memory use: 188.2 MB Fri Jan 16 03:43:26 2015 reading all ideals from disk Fri Jan 16 03:43:26 2015 memory use: 303.1 MB Fri Jan 16 03:43:26 2015 keeping 9016603 ideals with weight <= 200, target excess is 47553 Fri Jan 16 03:43:27 2015 commencing in-memory singleton removal Fri Jan 16 03:43:27 2015 begin with 9183847 relations and 9016603 unique ideals Fri Jan 16 03:43:29 2015 reduce to 4645815 relations and 3374290 ideals in 10 passes Fri Jan 16 03:43:29 2015 max relations containing the same ideal: 131 Fri Jan 16 03:43:30 2015 removing 1166178 relations and 766178 ideals in 400000 cliques Fri Jan 16 03:43:30 2015 commencing in-memory singleton removal Fri Jan 16 03:43:30 2015 begin with 3479637 relations and 3374290 unique ideals Fri Jan 16 03:43:31 2015 reduce to 3320063 relations and 2432981 ideals in 7 passes Fri Jan 16 03:43:31 2015 max relations containing the same ideal: 103 Fri Jan 16 03:43:32 2015 removing 1003904 relations and 603904 ideals in 400000 cliques Fri Jan 16 03:43:32 2015 commencing in-memory singleton removal Fri Jan 16 03:43:32 2015 begin with 2316159 relations and 2432981 unique ideals Fri Jan 16 03:43:33 2015 reduce to 2193349 relations and 1693322 ideals in 8 passes Fri Jan 16 03:43:33 2015 max relations containing the same ideal: 73 Fri Jan 16 03:43:33 2015 removing 950181 relations and 550181 ideals in 400000 cliques Fri Jan 16 03:43:33 2015 commencing in-memory singleton removal Fri Jan 16 03:43:33 2015 begin with 1243168 relations and 1693322 unique ideals Fri Jan 16 03:43:34 2015 reduce to 1111981 relations and 995000 ideals in 9 passes Fri Jan 16 03:43:34 2015 max relations containing the same ideal: 49 Fri Jan 16 03:43:34 2015 removing 196889 relations and 135070 ideals in 61819 cliques Fri Jan 16 03:43:34 2015 commencing in-memory singleton removal Fri Jan 16 03:43:34 2015 begin with 915092 relations and 995000 unique ideals Fri Jan 16 03:43:34 2015 reduce to 880538 relations and 823159 ideals in 7 passes Fri Jan 16 03:43:34 2015 max relations containing the same ideal: 40 Fri Jan 16 03:43:34 2015 relations with 0 large ideals: 1105 Fri Jan 16 03:43:34 2015 relations with 1 large ideals: 1205 Fri Jan 16 03:43:34 2015 relations with 2 large ideals: 14650 Fri Jan 16 03:43:34 2015 relations with 3 large ideals: 73151 Fri Jan 16 03:43:34 2015 relations with 4 large ideals: 180331 Fri Jan 16 03:43:34 2015 relations with 5 large ideals: 252658 Fri Jan 16 03:43:34 2015 relations with 6 large ideals: 219187 Fri Jan 16 03:43:34 2015 relations with 7+ large ideals: 138251 Fri Jan 16 03:43:34 2015 commencing 2-way merge Fri Jan 16 03:43:34 2015 reduce to 619002 relation sets and 561623 unique ideals Fri Jan 16 03:43:34 2015 commencing full merge Fri Jan 16 03:43:40 2015 memory use: 68.3 MB Fri Jan 16 03:43:40 2015 found 306930 cycles, need 297823 Fri Jan 16 03:43:40 2015 weight of 297823 cycles is about 21205017 (71.20/cycle) Fri Jan 16 03:43:40 2015 distribution of cycle lengths: Fri Jan 16 03:43:40 2015 1 relations: 16207 Fri Jan 16 03:43:40 2015 2 relations: 27410 Fri Jan 16 03:43:40 2015 3 relations: 34224 Fri Jan 16 03:43:40 2015 4 relations: 34166 Fri Jan 16 03:43:40 2015 5 relations: 32737 Fri Jan 16 03:43:40 2015 6 relations: 29114 Fri Jan 16 03:43:40 2015 7 relations: 25309 Fri Jan 16 03:43:40 2015 8 relations: 21600 Fri Jan 16 03:43:40 2015 9 relations: 17846 Fri Jan 16 03:43:40 2015 10+ relations: 59210 Fri Jan 16 03:43:40 2015 heaviest cycle: 19 relations Fri Jan 16 03:43:40 2015 commencing cycle optimization Fri Jan 16 03:43:40 2015 start with 1888163 relations Fri Jan 16 03:43:42 2015 pruned 76466 relations Fri Jan 16 03:43:42 2015 memory use: 55.3 MB Fri Jan 16 03:43:42 2015 distribution of cycle lengths: Fri Jan 16 03:43:42 2015 1 relations: 16207 Fri Jan 16 03:43:42 2015 2 relations: 28139 Fri Jan 16 03:43:42 2015 3 relations: 35901 Fri Jan 16 03:43:42 2015 4 relations: 35760 Fri Jan 16 03:43:42 2015 5 relations: 34318 Fri Jan 16 03:43:42 2015 6 relations: 30353 Fri Jan 16 03:43:42 2015 7 relations: 26168 Fri Jan 16 03:43:42 2015 8 relations: 21960 Fri Jan 16 03:43:42 2015 9 relations: 17717 Fri Jan 16 03:43:42 2015 10+ relations: 51300 Fri Jan 16 03:43:42 2015 heaviest cycle: 19 relations Fri Jan 16 03:43:42 2015 RelProcTime: 96 Fri Jan 16 03:43:42 2015 Fri Jan 16 03:43:42 2015 commencing linear algebra Fri Jan 16 03:43:42 2015 read 297823 cycles Fri Jan 16 03:43:42 2015 cycles contain 842616 unique relations Fri Jan 16 03:43:50 2015 read 842616 relations Fri Jan 16 03:43:51 2015 using 20 quadratic characters above 134205134 Fri Jan 16 03:43:53 2015 building initial matrix Fri Jan 16 03:43:58 2015 memory use: 104.2 MB Fri Jan 16 03:43:58 2015 read 297823 cycles Fri Jan 16 03:43:58 2015 matrix is 297646 x 297823 (88.8 MB) with weight 26897789 (90.31/col) Fri Jan 16 03:43:58 2015 sparse part has weight 19997057 (67.14/col) Fri Jan 16 03:44:00 2015 filtering completed in 2 passes Fri Jan 16 03:44:00 2015 matrix is 297504 x 297681 (88.8 MB) with weight 26891062 (90.34/col) Fri Jan 16 03:44:00 2015 sparse part has weight 19993684 (67.16/col) Fri Jan 16 03:44:00 2015 matrix starts at (0, 0) Fri Jan 16 03:44:00 2015 matrix is 297504 x 297681 (88.8 MB) with weight 26891062 (90.34/col) Fri Jan 16 03:44:00 2015 sparse part has weight 19993684 (67.16/col) Fri Jan 16 03:44:00 2015 saving the first 48 matrix rows for later Fri Jan 16 03:44:00 2015 matrix includes 64 packed rows Fri Jan 16 03:44:00 2015 matrix is 297456 x 297681 (83.9 MB) with weight 21059155 (70.74/col) Fri Jan 16 03:44:00 2015 sparse part has weight 19004224 (63.84/col) Fri Jan 16 03:44:00 2015 using block size 65536 for processor cache size 8192 kB Fri Jan 16 03:44:01 2015 commencing Lanczos iteration (8 threads) Fri Jan 16 03:44:01 2015 memory use: 80.1 MB Fri Jan 16 03:44:06 2015 linear algebra at 4.1%, ETA 0h 1m Fri Jan 16 03:46:08 2015 lanczos halted after 4705 iterations (dim = 297455) Fri Jan 16 03:46:08 2015 recovered 36 nontrivial dependencies Fri Jan 16 03:46:08 2015 BLanczosTime: 146 Fri Jan 16 03:46:08 2015 Fri Jan 16 03:46:08 2015 commencing square root phase Fri Jan 16 03:46:08 2015 reading relations for dependency 1 Fri Jan 16 03:46:08 2015 read 148458 cycles Fri Jan 16 03:46:08 2015 cycles contain 420176 unique relations Fri Jan 16 03:46:15 2015 read 420176 relations Fri Jan 16 03:46:16 2015 multiplying 420176 relations Fri Jan 16 03:46:21 2015 multiply complete, coefficients have about 9.94 million bits Fri Jan 16 03:46:21 2015 initial square root is modulo 513131 Fri Jan 16 03:46:28 2015 sqrtTime: 20 -- n: 350855913319179356323129708010929140160872177465337160414530581464882295238364829683277667362547349196326531622973686307294022882255729 m: 1000000000000000000000000000000 deg: 5 c5: 7 c0: -367 skew: 2.21 # Murphy_E = 1.46e-09 type: snfs lss: 1 rlim: 2300000 alim: 2300000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 15:22:48 UTC 2015 年 1 月 9 日 (金) 0 時 22 分 48 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:05:33 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 33 秒 (日本時間)

## 7×10151-3679

### c117

name 名前 Cyp January 18, 2015 00:36:38 UTC 2015 年 1 月 18 日 (日) 9 時 36 分 38 秒 (日本時間) `303856821758997948317942884402953463527951692031626775722987351734264224581755914497560763092847936603386160041803901<117>` ```205704255686020498768658182848445756174694295965299679<54> 1477153794148011987882836276615192787380483068873331941870090019<64>``` ```01/17/15 23:10:28 v1.34.3, 01/17/15 23:10:28 v1.34.3, **************************** 01/17/15 23:10:28 v1.34.3, Starting factorization of 303856821758997948317942884402953463527951692031626775722987351734264224581755914497560763092847936603386160041803901 01/17/15 23:10:28 v1.34.3, using pretesting plan: none 01/17/15 23:10:28 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/17/15 23:10:28 v1.34.3, **************************** 01/17/15 23:10:28 v1.34.3, nfs: commencing nfs on c117: 303856821758997948317942884402953463527951692031626775722987351734264224581755914497560763092847936603386160041803901 01/17/15 23:10:28 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/17/15 23:10:28 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/17/15 23:11:21 v1.34.3, nfs: commencing lattice sieving with 8 threads [147 lines snipped] 01/18/15 01:26:58 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/18/15 01:27:50 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/18/15 01:28:42 v1.34.3, nfs: commencing msieve filtering 01/18/15 01:30:17 v1.34.3, nfs: commencing msieve linear algebra 01/18/15 01:33:39 v1.34.3, nfs: commencing msieve sqrt 01/18/15 01:36:37 v1.34.3, prp64 = 1477153794148011987882836276615192787380483068873331941870090019 01/18/15 01:36:37 v1.34.3, prp54 = 205704255686020498768658182848445756174694295965299679 01/18/15 01:36:37 v1.34.3, NFS elapsed time = 8768.2690 seconds. 01/18/15 01:36:37 v1.34.3, 01/18/15 01:36:37 v1.34.3, 01/18/15 01:36:37 v1.34.3, Total factoring time = 8768.2696 seconds -- Sun Jan 18 01:28:42 2015 Sun Jan 18 01:28:42 2015 commencing relation filtering Sun Jan 18 01:28:42 2015 estimated available RAM is 15987.3 MB Sun Jan 18 01:28:42 2015 commencing duplicate removal, pass 1 Sun Jan 18 01:29:08 2015 found 1821656 hash collisions in 10043492 relations Sun Jan 18 01:29:16 2015 added 346507 free relations Sun Jan 18 01:29:16 2015 commencing duplicate removal, pass 2 Sun Jan 18 01:29:23 2015 found 1555900 duplicates and 8834099 unique relations Sun Jan 18 01:29:23 2015 memory use: 45.3 MB Sun Jan 18 01:29:23 2015 reading ideals above 100000 Sun Jan 18 01:29:23 2015 commencing singleton removal, initial pass Sun Jan 18 01:30:01 2015 memory use: 188.2 MB Sun Jan 18 01:30:01 2015 reading all ideals from disk Sun Jan 18 01:30:01 2015 memory use: 295.7 MB Sun Jan 18 01:30:01 2015 keeping 8913817 ideals with weight <= 200, target excess is 46502 Sun Jan 18 01:30:01 2015 commencing in-memory singleton removal Sun Jan 18 01:30:02 2015 begin with 8834099 relations and 8913817 unique ideals Sun Jan 18 01:30:04 2015 reduce to 4312509 relations and 3262684 ideals in 10 passes Sun Jan 18 01:30:04 2015 max relations containing the same ideal: 128 Sun Jan 18 01:30:05 2015 removing 1185694 relations and 785694 ideals in 400000 cliques Sun Jan 18 01:30:05 2015 commencing in-memory singleton removal Sun Jan 18 01:30:05 2015 begin with 3126815 relations and 3262684 unique ideals Sun Jan 18 01:30:06 2015 reduce to 2947520 relations and 2278529 ideals in 7 passes Sun Jan 18 01:30:06 2015 max relations containing the same ideal: 97 Sun Jan 18 01:30:07 2015 removing 1019073 relations and 619073 ideals in 400000 cliques Sun Jan 18 01:30:07 2015 commencing in-memory singleton removal Sun Jan 18 01:30:07 2015 begin with 1928447 relations and 2278529 unique ideals Sun Jan 18 01:30:07 2015 reduce to 1780934 relations and 1494177 ideals in 8 passes Sun Jan 18 01:30:07 2015 max relations containing the same ideal: 67 Sun Jan 18 01:30:08 2015 removing 598204 relations and 365390 ideals in 232814 cliques Sun Jan 18 01:30:08 2015 commencing in-memory singleton removal Sun Jan 18 01:30:08 2015 begin with 1182730 relations and 1494177 unique ideals Sun Jan 18 01:30:08 2015 reduce to 1085894 relations and 1020753 ideals in 8 passes Sun Jan 18 01:30:08 2015 max relations containing the same ideal: 46 Sun Jan 18 01:30:08 2015 removing 52595 relations and 41397 ideals in 11198 cliques Sun Jan 18 01:30:08 2015 commencing in-memory singleton removal Sun Jan 18 01:30:08 2015 begin with 1033299 relations and 1020753 unique ideals Sun Jan 18 01:30:08 2015 reduce to 1031058 relations and 977084 ideals in 5 passes Sun Jan 18 01:30:08 2015 max relations containing the same ideal: 44 Sun Jan 18 01:30:08 2015 relations with 0 large ideals: 1057 Sun Jan 18 01:30:08 2015 relations with 1 large ideals: 893 Sun Jan 18 01:30:08 2015 relations with 2 large ideals: 12680 Sun Jan 18 01:30:08 2015 relations with 3 large ideals: 69169 Sun Jan 18 01:30:08 2015 relations with 4 large ideals: 188500 Sun Jan 18 01:30:08 2015 relations with 5 large ideals: 289973 Sun Jan 18 01:30:08 2015 relations with 6 large ideals: 273242 Sun Jan 18 01:30:08 2015 relations with 7+ large ideals: 195544 Sun Jan 18 01:30:08 2015 commencing 2-way merge Sun Jan 18 01:30:09 2015 reduce to 708190 relation sets and 654216 unique ideals Sun Jan 18 01:30:09 2015 commencing full merge Sun Jan 18 01:30:15 2015 memory use: 80.2 MB Sun Jan 18 01:30:15 2015 found 359532 cycles, need 352416 Sun Jan 18 01:30:15 2015 weight of 352416 cycles is about 24716049 (70.13/cycle) Sun Jan 18 01:30:15 2015 distribution of cycle lengths: Sun Jan 18 01:30:15 2015 1 relations: 17091 Sun Jan 18 01:30:15 2015 2 relations: 31280 Sun Jan 18 01:30:15 2015 3 relations: 39680 Sun Jan 18 01:30:15 2015 4 relations: 41896 Sun Jan 18 01:30:15 2015 5 relations: 40732 Sun Jan 18 01:30:15 2015 6 relations: 37020 Sun Jan 18 01:30:15 2015 7 relations: 32432 Sun Jan 18 01:30:15 2015 8 relations: 26372 Sun Jan 18 01:30:15 2015 9 relations: 21380 Sun Jan 18 01:30:15 2015 10+ relations: 64533 Sun Jan 18 01:30:15 2015 heaviest cycle: 20 relations Sun Jan 18 01:30:15 2015 commencing cycle optimization Sun Jan 18 01:30:15 2015 start with 2208376 relations Sun Jan 18 01:30:17 2015 pruned 80403 relations Sun Jan 18 01:30:17 2015 memory use: 65.7 MB Sun Jan 18 01:30:17 2015 distribution of cycle lengths: Sun Jan 18 01:30:17 2015 1 relations: 17091 Sun Jan 18 01:30:17 2015 2 relations: 32041 Sun Jan 18 01:30:17 2015 3 relations: 41504 Sun Jan 18 01:30:17 2015 4 relations: 43678 Sun Jan 18 01:30:17 2015 5 relations: 42715 Sun Jan 18 01:30:17 2015 6 relations: 38306 Sun Jan 18 01:30:17 2015 7 relations: 33274 Sun Jan 18 01:30:17 2015 8 relations: 26626 Sun Jan 18 01:30:17 2015 9 relations: 21018 Sun Jan 18 01:30:17 2015 10+ relations: 56163 Sun Jan 18 01:30:17 2015 heaviest cycle: 20 relations Sun Jan 18 01:30:17 2015 RelProcTime: 95 Sun Jan 18 01:30:17 2015 Sun Jan 18 01:30:17 2015 commencing linear algebra Sun Jan 18 01:30:17 2015 read 352416 cycles Sun Jan 18 01:30:18 2015 cycles contain 1005275 unique relations Sun Jan 18 01:30:26 2015 read 1005275 relations Sun Jan 18 01:30:27 2015 using 20 quadratic characters above 134210562 Sun Jan 18 01:30:30 2015 building initial matrix Sun Jan 18 01:30:35 2015 memory use: 128.6 MB Sun Jan 18 01:30:35 2015 read 352416 cycles Sun Jan 18 01:30:35 2015 matrix is 352239 x 352416 (104.3 MB) with weight 31676104 (89.88/col) Sun Jan 18 01:30:35 2015 sparse part has weight 23467354 (66.59/col) Sun Jan 18 01:30:36 2015 filtering completed in 2 passes Sun Jan 18 01:30:37 2015 matrix is 352172 x 352349 (104.3 MB) with weight 31673429 (89.89/col) Sun Jan 18 01:30:37 2015 sparse part has weight 23466352 (66.60/col) Sun Jan 18 01:30:37 2015 matrix starts at (0, 0) Sun Jan 18 01:30:37 2015 matrix is 352172 x 352349 (104.3 MB) with weight 31673429 (89.89/col) Sun Jan 18 01:30:37 2015 sparse part has weight 23466352 (66.60/col) Sun Jan 18 01:30:37 2015 saving the first 48 matrix rows for later Sun Jan 18 01:30:37 2015 matrix includes 64 packed rows Sun Jan 18 01:30:37 2015 matrix is 352124 x 352349 (98.5 MB) with weight 24717253 (70.15/col) Sun Jan 18 01:30:37 2015 sparse part has weight 22307810 (63.31/col) Sun Jan 18 01:30:37 2015 using block size 65536 for processor cache size 8192 kB Sun Jan 18 01:30:38 2015 commencing Lanczos iteration (8 threads) Sun Jan 18 01:30:38 2015 memory use: 94.7 MB Sun Jan 18 01:30:44 2015 linear algebra at 3.4%, ETA 0h 2m Sun Jan 18 01:33:39 2015 lanczos halted after 5570 iterations (dim = 352122) Sun Jan 18 01:33:39 2015 recovered 37 nontrivial dependencies Sun Jan 18 01:33:39 2015 BLanczosTime: 202 Sun Jan 18 01:33:39 2015 Sun Jan 18 01:33:39 2015 commencing square root phase Sun Jan 18 01:33:39 2015 reading relations for dependency 1 Sun Jan 18 01:33:39 2015 read 176680 cycles Sun Jan 18 01:33:39 2015 cycles contain 503294 unique relations Sun Jan 18 01:33:47 2015 read 503294 relations Sun Jan 18 01:33:47 2015 multiplying 503294 relations Sun Jan 18 01:33:55 2015 multiply complete, coefficients have about 13.47 million bits Sun Jan 18 01:33:55 2015 initial square root is modulo 55111141 Sun Jan 18 01:34:05 2015 GCD is 1, no factor found Sun Jan 18 01:34:05 2015 reading relations for dependency 2 Sun Jan 18 01:34:05 2015 read 176318 cycles Sun Jan 18 01:34:05 2015 cycles contain 502356 unique relations Sun Jan 18 01:34:12 2015 read 502356 relations Sun Jan 18 01:34:13 2015 multiplying 502356 relations Sun Jan 18 01:34:20 2015 multiply complete, coefficients have about 13.45 million bits Sun Jan 18 01:34:20 2015 initial square root is modulo 53383501 Sun Jan 18 01:34:30 2015 Newton iteration failed to converge Sun Jan 18 01:34:30 2015 algebraic square root failed Sun Jan 18 01:34:30 2015 reading relations for dependency 3 Sun Jan 18 01:34:30 2015 read 176531 cycles Sun Jan 18 01:34:30 2015 cycles contain 503726 unique relations Sun Jan 18 01:34:37 2015 read 503726 relations Sun Jan 18 01:34:38 2015 multiplying 503726 relations Sun Jan 18 01:34:46 2015 multiply complete, coefficients have about 13.49 million bits Sun Jan 18 01:34:46 2015 initial square root is modulo 56107771 Sun Jan 18 01:34:55 2015 Newton iteration failed to converge Sun Jan 18 01:34:55 2015 algebraic square root failed Sun Jan 18 01:34:55 2015 reading relations for dependency 4 Sun Jan 18 01:34:55 2015 read 175734 cycles Sun Jan 18 01:34:55 2015 cycles contain 501508 unique relations Sun Jan 18 01:35:03 2015 read 501508 relations Sun Jan 18 01:35:03 2015 multiplying 501508 relations Sun Jan 18 01:35:11 2015 multiply complete, coefficients have about 13.43 million bits Sun Jan 18 01:35:11 2015 initial square root is modulo 51900391 Sun Jan 18 01:35:21 2015 GCD is 1, no factor found Sun Jan 18 01:35:21 2015 reading relations for dependency 5 Sun Jan 18 01:35:21 2015 read 176093 cycles Sun Jan 18 01:35:21 2015 cycles contain 502980 unique relations Sun Jan 18 01:35:28 2015 read 502980 relations Sun Jan 18 01:35:29 2015 multiplying 502980 relations Sun Jan 18 01:35:36 2015 multiply complete, coefficients have about 13.47 million bits Sun Jan 18 01:35:36 2015 initial square root is modulo 54681091 Sun Jan 18 01:35:46 2015 Newton iteration failed to converge Sun Jan 18 01:35:46 2015 algebraic square root failed Sun Jan 18 01:35:46 2015 reading relations for dependency 6 Sun Jan 18 01:35:46 2015 read 176566 cycles Sun Jan 18 01:35:46 2015 cycles contain 503124 unique relations Sun Jan 18 01:35:53 2015 read 503124 relations Sun Jan 18 01:35:54 2015 multiplying 503124 relations Sun Jan 18 01:36:02 2015 multiply complete, coefficients have about 13.47 million bits Sun Jan 18 01:36:02 2015 initial square root is modulo 54815231 Sun Jan 18 01:36:11 2015 GCD is 1, no factor found Sun Jan 18 01:36:11 2015 reading relations for dependency 7 Sun Jan 18 01:36:11 2015 read 176050 cycles Sun Jan 18 01:36:11 2015 cycles contain 502774 unique relations Sun Jan 18 01:36:18 2015 read 502774 relations Sun Jan 18 01:36:19 2015 multiplying 502774 relations Sun Jan 18 01:36:27 2015 multiply complete, coefficients have about 13.46 million bits Sun Jan 18 01:36:27 2015 initial square root is modulo 54224881 Sun Jan 18 01:36:36 2015 sqrtTime: 177 -- n: 303856821758997948317942884402953463527951692031626775722987351734264224581755914497560763092847936603386160041803901 m: 1000000000000000000000000000000 deg: 5 c5: 70 c0: -367 skew: 1.39 # Murphy_E = 1.016e-09 type: snfs lss: 1 rlim: 2400000 alim: 2400000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 9, 2015 21:52:01 UTC 2015 年 1 月 10 日 (土) 6 時 52 分 1 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 9, 2015 21:52:01 UTC 2015 年 1 月 10 日 (土) 6 時 52 分 1 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 9, 2015 21:52:01 UTC 2015 年 1 月 10 日 (土) 6 時 52 分 1 秒 (日本時間)

## 7×10153-3679

### c148

name 名前 Cyp January 13, 2015 00:13:52 UTC 2015 年 1 月 13 日 (火) 9 時 13 分 52 秒 (日本時間) `9436416749909342996224085240500561466796619605908275333071809783407274398866551542382317772682112732826732559816771747907474585707603190587309097919<148>` ```8791254424340477266505026678571016432964157992011680483<55> 1073386833599377487566805433958774100423183685531515340415886541750425982395023356867912511093<94>``` ```01/12/15 23:12:45 v1.34.3, 01/12/15 23:12:45 v1.34.3, **************************** 01/12/15 23:12:45 v1.34.3, Starting factorization of 9436416749909342996224085240500561466796619605908275333071809783407274398866551542382317772682112732826732559816771747907474585707603190587309097919 01/12/15 23:12:45 v1.34.3, using pretesting plan: none 01/12/15 23:12:45 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/12/15 23:12:45 v1.34.3, **************************** 01/12/15 23:12:45 v1.34.3, nfs: commencing nfs on c148: 9436416749909342996224085240500561466796619605908275333071809783407274398866551542382317772682112732826732559816771747907474585707603190587309097919 01/12/15 23:12:45 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/12/15 23:12:45 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/12/15 23:17:11 v1.34.3, nfs: commencing lattice sieving with 8 threads [22 lines snipped] 01/13/15 01:00:02 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/13/15 01:04:36 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/13/15 01:09:01 v1.34.3, nfs: commencing msieve filtering 01/13/15 01:10:42 v1.34.3, nfs: commencing msieve linear algebra 01/13/15 01:13:22 v1.34.3, nfs: commencing msieve sqrt 01/13/15 01:13:51 v1.34.3, prp55 = 8791254424340477266505026678571016432964157992011680483 01/13/15 01:13:51 v1.34.3, prp94 = 1073386833599377487566805433958774100423183685531515340415886541750425982395023356867912511093 01/13/15 01:13:51 v1.34.3, NFS elapsed time = 7266.3665 seconds. 01/13/15 01:13:51 v1.34.3, 01/13/15 01:13:51 v1.34.3, 01/13/15 01:13:51 v1.34.3, Total factoring time = 7266.3673 seconds -- Tue Jan 13 01:09:01 2015 Tue Jan 13 01:09:01 2015 commencing relation filtering Tue Jan 13 01:09:01 2015 estimated available RAM is 15987.3 MB Tue Jan 13 01:09:01 2015 commencing duplicate removal, pass 1 Tue Jan 13 01:09:30 2015 found 1264427 hash collisions in 10406456 relations Tue Jan 13 01:09:39 2015 added 361097 free relations Tue Jan 13 01:09:39 2015 commencing duplicate removal, pass 2 Tue Jan 13 01:09:47 2015 found 731059 duplicates and 10036494 unique relations Tue Jan 13 01:09:47 2015 memory use: 41.3 MB Tue Jan 13 01:09:47 2015 reading ideals above 720000 Tue Jan 13 01:09:47 2015 commencing singleton removal, initial pass Tue Jan 13 01:10:27 2015 memory use: 188.2 MB Tue Jan 13 01:10:27 2015 reading all ideals from disk Tue Jan 13 01:10:27 2015 memory use: 268.1 MB Tue Jan 13 01:10:27 2015 keeping 9741426 ideals with weight <= 200, target excess is 117032 Tue Jan 13 01:10:28 2015 commencing in-memory singleton removal Tue Jan 13 01:10:28 2015 begin with 10036494 relations and 9741426 unique ideals Tue Jan 13 01:10:30 2015 reduce to 5172647 relations and 3815627 ideals in 10 passes Tue Jan 13 01:10:30 2015 max relations containing the same ideal: 127 Tue Jan 13 01:10:31 2015 removing 1250205 relations and 850205 ideals in 400000 cliques Tue Jan 13 01:10:31 2015 commencing in-memory singleton removal Tue Jan 13 01:10:32 2015 begin with 3922442 relations and 3815627 unique ideals Tue Jan 13 01:10:32 2015 reduce to 3729366 relations and 2754766 ideals in 7 passes Tue Jan 13 01:10:32 2015 max relations containing the same ideal: 100 Tue Jan 13 01:10:33 2015 removing 1063916 relations and 663916 ideals in 400000 cliques Tue Jan 13 01:10:33 2015 commencing in-memory singleton removal Tue Jan 13 01:10:34 2015 begin with 2665450 relations and 2754766 unique ideals Tue Jan 13 01:10:34 2015 reduce to 2513009 relations and 1923318 ideals in 7 passes Tue Jan 13 01:10:34 2015 max relations containing the same ideal: 74 Tue Jan 13 01:10:35 2015 removing 1011360 relations and 611360 ideals in 400000 cliques Tue Jan 13 01:10:35 2015 commencing in-memory singleton removal Tue Jan 13 01:10:35 2015 begin with 1501649 relations and 1923318 unique ideals Tue Jan 13 01:10:35 2015 reduce to 1325068 relations and 1111883 ideals in 9 passes Tue Jan 13 01:10:35 2015 max relations containing the same ideal: 50 Tue Jan 13 01:10:35 2015 removing 254547 relations and 177120 ideals in 77427 cliques Tue Jan 13 01:10:35 2015 commencing in-memory singleton removal Tue Jan 13 01:10:35 2015 begin with 1070521 relations and 1111883 unique ideals Tue Jan 13 01:10:36 2015 reduce to 1020114 relations and 881086 ideals in 9 passes Tue Jan 13 01:10:36 2015 max relations containing the same ideal: 41 Tue Jan 13 01:10:36 2015 relations with 0 large ideals: 3059 Tue Jan 13 01:10:36 2015 relations with 1 large ideals: 9190 Tue Jan 13 01:10:36 2015 relations with 2 large ideals: 72977 Tue Jan 13 01:10:36 2015 relations with 3 large ideals: 221780 Tue Jan 13 01:10:36 2015 relations with 4 large ideals: 321633 Tue Jan 13 01:10:36 2015 relations with 5 large ideals: 246799 Tue Jan 13 01:10:36 2015 relations with 6 large ideals: 114419 Tue Jan 13 01:10:36 2015 relations with 7+ large ideals: 30257 Tue Jan 13 01:10:36 2015 commencing 2-way merge Tue Jan 13 01:10:36 2015 reduce to 644744 relation sets and 505716 unique ideals Tue Jan 13 01:10:36 2015 commencing full merge Tue Jan 13 01:10:40 2015 memory use: 58.1 MB Tue Jan 13 01:10:40 2015 found 325068 cycles, need 303916 Tue Jan 13 01:10:40 2015 weight of 303916 cycles is about 21350866 (70.25/cycle) Tue Jan 13 01:10:40 2015 distribution of cycle lengths: Tue Jan 13 01:10:40 2015 1 relations: 28446 Tue Jan 13 01:10:40 2015 2 relations: 27246 Tue Jan 13 01:10:40 2015 3 relations: 30929 Tue Jan 13 01:10:40 2015 4 relations: 31839 Tue Jan 13 01:10:40 2015 5 relations: 31808 Tue Jan 13 01:10:40 2015 6 relations: 29364 Tue Jan 13 01:10:40 2015 7 relations: 26811 Tue Jan 13 01:10:40 2015 8 relations: 23141 Tue Jan 13 01:10:40 2015 9 relations: 19455 Tue Jan 13 01:10:40 2015 10+ relations: 54877 Tue Jan 13 01:10:40 2015 heaviest cycle: 17 relations Tue Jan 13 01:10:40 2015 commencing cycle optimization Tue Jan 13 01:10:40 2015 start with 1822991 relations Tue Jan 13 01:10:42 2015 pruned 66162 relations Tue Jan 13 01:10:42 2015 memory use: 57.6 MB Tue Jan 13 01:10:42 2015 distribution of cycle lengths: Tue Jan 13 01:10:42 2015 1 relations: 28446 Tue Jan 13 01:10:42 2015 2 relations: 27996 Tue Jan 13 01:10:42 2015 3 relations: 32326 Tue Jan 13 01:10:42 2015 4 relations: 33358 Tue Jan 13 01:10:42 2015 5 relations: 33436 Tue Jan 13 01:10:42 2015 6 relations: 30860 Tue Jan 13 01:10:42 2015 7 relations: 27898 Tue Jan 13 01:10:42 2015 8 relations: 23597 Tue Jan 13 01:10:42 2015 9 relations: 19357 Tue Jan 13 01:10:42 2015 10+ relations: 46642 Tue Jan 13 01:10:42 2015 heaviest cycle: 17 relations Tue Jan 13 01:10:42 2015 RelProcTime: 101 Tue Jan 13 01:10:42 2015 Tue Jan 13 01:10:42 2015 commencing linear algebra Tue Jan 13 01:10:42 2015 read 303916 cycles Tue Jan 13 01:10:42 2015 cycles contain 929391 unique relations Tue Jan 13 01:10:51 2015 read 929391 relations Tue Jan 13 01:10:52 2015 using 20 quadratic characters above 134216802 Tue Jan 13 01:10:54 2015 building initial matrix Tue Jan 13 01:10:59 2015 memory use: 116.6 MB Tue Jan 13 01:10:59 2015 read 303916 cycles Tue Jan 13 01:10:59 2015 matrix is 303903 x 303916 (89.7 MB) with weight 27714872 (91.19/col) Tue Jan 13 01:10:59 2015 sparse part has weight 20169222 (66.36/col) Tue Jan 13 01:11:00 2015 filtering completed in 2 passes Tue Jan 13 01:11:00 2015 matrix is 303401 x 303523 (89.6 MB) with weight 27691536 (91.23/col) Tue Jan 13 01:11:00 2015 sparse part has weight 20155779 (66.41/col) Tue Jan 13 01:11:01 2015 matrix starts at (0, 0) Tue Jan 13 01:11:01 2015 matrix is 303401 x 303523 (89.6 MB) with weight 27691536 (91.23/col) Tue Jan 13 01:11:01 2015 sparse part has weight 20155779 (66.41/col) Tue Jan 13 01:11:01 2015 saving the first 48 matrix rows for later Tue Jan 13 01:11:01 2015 matrix includes 64 packed rows Tue Jan 13 01:11:01 2015 matrix is 303353 x 303523 (85.2 MB) with weight 21749446 (71.66/col) Tue Jan 13 01:11:01 2015 sparse part has weight 19309638 (63.62/col) Tue Jan 13 01:11:01 2015 using block size 65536 for processor cache size 8192 kB Tue Jan 13 01:11:02 2015 commencing Lanczos iteration (8 threads) Tue Jan 13 01:11:02 2015 memory use: 81.3 MB Tue Jan 13 01:11:07 2015 linear algebra at 4.0%, ETA 0h 2m Tue Jan 13 01:13:21 2015 lanczos halted after 4799 iterations (dim = 303316) Tue Jan 13 01:13:22 2015 recovered 30 nontrivial dependencies Tue Jan 13 01:13:22 2015 BLanczosTime: 160 Tue Jan 13 01:13:22 2015 Tue Jan 13 01:13:22 2015 commencing square root phase Tue Jan 13 01:13:22 2015 reading relations for dependency 1 Tue Jan 13 01:13:22 2015 read 151504 cycles Tue Jan 13 01:13:22 2015 cycles contain 463660 unique relations Tue Jan 13 01:13:29 2015 read 463660 relations Tue Jan 13 01:13:30 2015 multiplying 463660 relations Tue Jan 13 01:13:39 2015 multiply complete, coefficients have about 15.51 million bits Tue Jan 13 01:13:39 2015 initial square root is modulo 819468421 Tue Jan 13 01:13:51 2015 sqrtTime: 29 -- n: 9436416749909342996224085240500561466796619605908275333071809783407274398866551542382317772682112732826732559816771747907474585707603190587309097919 m: 1000000000000000000000000000000 deg: 5 c5: 7000 c0: -367 skew: 0.55 # Murphy_E = 9.419e-10 type: snfs lss: 1 rlim: 2600000 alim: 2600000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:05:34 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 34 秒 (日本時間)

## 7×10154-3679

### c137

name 名前 Cyp January 15, 2015 21:24:56 UTC 2015 年 1 月 16 日 (金) 6 時 24 分 56 秒 (日本時間) `75273840779540843473401647915202642561677612598277872901614171812367923048046108066879292836348383787563821328362477014764141769828370253<137>` ```5028858043936075976791474185155476423338396508841<49> 14968376542326133380687501676139774425030291221872947559900856516751299781435347985238533<89>``` ```01/15/15 19:57:29 v1.34.3, 01/15/15 19:57:29 v1.34.3, **************************** 01/15/15 19:57:29 v1.34.3, Starting factorization of 75273840779540843473401647915202642561677612598277872901614171812367923048046108066879292836348383787563821328362477014764141769828370253 01/15/15 19:57:29 v1.34.3, using pretesting plan: none 01/15/15 19:57:29 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/15/15 19:57:29 v1.34.3, **************************** 01/15/15 19:57:29 v1.34.3, nfs: commencing nfs on c137: 75273840779540843473401647915202642561677612598277872901614171812367923048046108066879292836348383787563821328362477014764141769828370253 01/15/15 19:57:29 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 01/15/15 19:57:29 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 19:58:37 v1.34.3, nfs: commencing lattice sieving with 8 threads [112 lines snipped] 01/15/15 22:15:11 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 22:16:21 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/15/15 22:17:28 v1.34.3, nfs: commencing msieve filtering 01/15/15 22:19:14 v1.34.3, nfs: commencing msieve linear algebra 01/15/15 22:24:20 v1.34.3, nfs: commencing msieve sqrt 01/15/15 22:24:55 v1.34.3, prp49 = 5028858043936075976791474185155476423338396508841 01/15/15 22:24:55 v1.34.3, prp89 = 14968376542326133380687501676139774425030291221872947559900856516751299781435347985238533 01/15/15 22:24:55 v1.34.3, NFS elapsed time = 8846.4717 seconds. 01/15/15 22:24:55 v1.34.3, 01/15/15 22:24:55 v1.34.3, 01/15/15 22:24:55 v1.34.3, Total factoring time = 8846.4728 seconds -- Thu Jan 15 22:17:28 2015 Thu Jan 15 22:17:28 2015 commencing relation filtering Thu Jan 15 22:17:28 2015 estimated available RAM is 15987.3 MB Thu Jan 15 22:17:28 2015 commencing duplicate removal, pass 1 Thu Jan 15 22:17:56 2015 found 1655014 hash collisions in 10074069 relations Thu Jan 15 22:18:04 2015 added 355704 free relations Thu Jan 15 22:18:04 2015 commencing duplicate removal, pass 2 Thu Jan 15 22:18:13 2015 found 1325648 duplicates and 9104125 unique relations Thu Jan 15 22:18:13 2015 memory use: 41.3 MB Thu Jan 15 22:18:13 2015 reading ideals above 100000 Thu Jan 15 22:18:13 2015 commencing singleton removal, initial pass Thu Jan 15 22:18:53 2015 memory use: 188.2 MB Thu Jan 15 22:18:53 2015 reading all ideals from disk Thu Jan 15 22:18:54 2015 memory use: 307.3 MB Thu Jan 15 22:18:54 2015 keeping 9524603 ideals with weight <= 200, target excess is 46211 Thu Jan 15 22:18:54 2015 commencing in-memory singleton removal Thu Jan 15 22:18:55 2015 begin with 9104125 relations and 9524603 unique ideals Thu Jan 15 22:18:57 2015 reduce to 4166527 relations and 3421336 ideals in 12 passes Thu Jan 15 22:18:57 2015 max relations containing the same ideal: 122 Thu Jan 15 22:18:59 2015 removing 1195948 relations and 850155 ideals in 345793 cliques Thu Jan 15 22:18:59 2015 commencing in-memory singleton removal Thu Jan 15 22:18:59 2015 begin with 2970579 relations and 3421336 unique ideals Thu Jan 15 22:19:00 2015 reduce to 2738499 relations and 2314846 ideals in 8 passes Thu Jan 15 22:19:00 2015 max relations containing the same ideal: 92 Thu Jan 15 22:19:00 2015 removing 997852 relations and 652059 ideals in 345793 cliques Thu Jan 15 22:19:01 2015 commencing in-memory singleton removal Thu Jan 15 22:19:01 2015 begin with 1740647 relations and 2314846 unique ideals Thu Jan 15 22:19:01 2015 reduce to 1536607 relations and 1432343 ideals in 8 passes Thu Jan 15 22:19:01 2015 max relations containing the same ideal: 65 Thu Jan 15 22:19:02 2015 removing 213124 relations and 162465 ideals in 50659 cliques Thu Jan 15 22:19:02 2015 commencing in-memory singleton removal Thu Jan 15 22:19:02 2015 begin with 1323483 relations and 1432343 unique ideals Thu Jan 15 22:19:02 2015 reduce to 1301416 relations and 1247095 ideals in 7 passes Thu Jan 15 22:19:02 2015 max relations containing the same ideal: 57 Thu Jan 15 22:19:02 2015 relations with 0 large ideals: 1060 Thu Jan 15 22:19:02 2015 relations with 1 large ideals: 685 Thu Jan 15 22:19:02 2015 relations with 2 large ideals: 10502 Thu Jan 15 22:19:02 2015 relations with 3 large ideals: 64038 Thu Jan 15 22:19:02 2015 relations with 4 large ideals: 201159 Thu Jan 15 22:19:02 2015 relations with 5 large ideals: 351980 Thu Jan 15 22:19:02 2015 relations with 6 large ideals: 370394 Thu Jan 15 22:19:02 2015 relations with 7+ large ideals: 301598 Thu Jan 15 22:19:02 2015 commencing 2-way merge Thu Jan 15 22:19:03 2015 reduce to 818753 relation sets and 764432 unique ideals Thu Jan 15 22:19:03 2015 commencing full merge Thu Jan 15 22:19:11 2015 memory use: 98.4 MB Thu Jan 15 22:19:11 2015 found 422322 cycles, need 414632 Thu Jan 15 22:19:11 2015 weight of 414632 cycles is about 29285585 (70.63/cycle) Thu Jan 15 22:19:11 2015 distribution of cycle lengths: Thu Jan 15 22:19:11 2015 1 relations: 28333 Thu Jan 15 22:19:11 2015 2 relations: 38199 Thu Jan 15 22:19:11 2015 3 relations: 43675 Thu Jan 15 22:19:11 2015 4 relations: 43841 Thu Jan 15 22:19:11 2015 5 relations: 43261 Thu Jan 15 22:19:11 2015 6 relations: 40225 Thu Jan 15 22:19:11 2015 7 relations: 36400 Thu Jan 15 22:19:11 2015 8 relations: 31542 Thu Jan 15 22:19:11 2015 9 relations: 26388 Thu Jan 15 22:19:11 2015 10+ relations: 82768 Thu Jan 15 22:19:11 2015 heaviest cycle: 20 relations Thu Jan 15 22:19:11 2015 commencing cycle optimization Thu Jan 15 22:19:11 2015 start with 2623610 relations Thu Jan 15 22:19:14 2015 pruned 80801 relations Thu Jan 15 22:19:14 2015 memory use: 80.6 MB Thu Jan 15 22:19:14 2015 distribution of cycle lengths: Thu Jan 15 22:19:14 2015 1 relations: 28333 Thu Jan 15 22:19:14 2015 2 relations: 38993 Thu Jan 15 22:19:14 2015 3 relations: 45290 Thu Jan 15 22:19:14 2015 4 relations: 45370 Thu Jan 15 22:19:14 2015 5 relations: 44870 Thu Jan 15 22:19:14 2015 6 relations: 41606 Thu Jan 15 22:19:14 2015 7 relations: 37506 Thu Jan 15 22:19:14 2015 8 relations: 31831 Thu Jan 15 22:19:14 2015 9 relations: 26698 Thu Jan 15 22:19:14 2015 10+ relations: 74135 Thu Jan 15 22:19:14 2015 heaviest cycle: 20 relations Thu Jan 15 22:19:14 2015 RelProcTime: 106 Thu Jan 15 22:19:14 2015 Thu Jan 15 22:19:14 2015 commencing linear algebra Thu Jan 15 22:19:14 2015 read 414632 cycles Thu Jan 15 22:19:15 2015 cycles contain 1266260 unique relations Thu Jan 15 22:19:24 2015 read 1266260 relations Thu Jan 15 22:19:25 2015 using 20 quadratic characters above 134213942 Thu Jan 15 22:19:29 2015 building initial matrix Thu Jan 15 22:19:36 2015 memory use: 157.4 MB Thu Jan 15 22:19:36 2015 read 414632 cycles Thu Jan 15 22:19:36 2015 matrix is 414455 x 414632 (124.0 MB) with weight 37807513 (91.18/col) Thu Jan 15 22:19:36 2015 sparse part has weight 27952204 (67.41/col) Thu Jan 15 22:19:38 2015 filtering completed in 2 passes Thu Jan 15 22:19:38 2015 matrix is 414363 x 414540 (124.0 MB) with weight 37803574 (91.19/col) Thu Jan 15 22:19:38 2015 sparse part has weight 27950542 (67.43/col) Thu Jan 15 22:19:39 2015 matrix starts at (0, 0) Thu Jan 15 22:19:39 2015 matrix is 414363 x 414540 (124.0 MB) with weight 37803574 (91.19/col) Thu Jan 15 22:19:39 2015 sparse part has weight 27950542 (67.43/col) Thu Jan 15 22:19:39 2015 saving the first 48 matrix rows for later Thu Jan 15 22:19:39 2015 matrix includes 64 packed rows Thu Jan 15 22:19:39 2015 matrix is 414315 x 414540 (117.6 MB) with weight 29787447 (71.86/col) Thu Jan 15 22:19:39 2015 sparse part has weight 26682453 (64.37/col) Thu Jan 15 22:19:39 2015 using block size 65536 for processor cache size 8192 kB Thu Jan 15 22:19:40 2015 commencing Lanczos iteration (8 threads) Thu Jan 15 22:19:40 2015 memory use: 113.0 MB Thu Jan 15 22:19:48 2015 linear algebra at 2.9%, ETA 0h 4m Thu Jan 15 22:24:20 2015 lanczos halted after 6554 iterations (dim = 414313) Thu Jan 15 22:24:20 2015 recovered 37 nontrivial dependencies Thu Jan 15 22:24:20 2015 BLanczosTime: 306 Thu Jan 15 22:24:20 2015 Thu Jan 15 22:24:20 2015 commencing square root phase Thu Jan 15 22:24:20 2015 reading relations for dependency 1 Thu Jan 15 22:24:20 2015 read 206378 cycles Thu Jan 15 22:24:21 2015 cycles contain 631648 unique relations Thu Jan 15 22:24:28 2015 read 631648 relations Thu Jan 15 22:24:30 2015 multiplying 631648 relations Thu Jan 15 22:24:40 2015 multiply complete, coefficients have about 17.48 million bits Thu Jan 15 22:24:40 2015 initial square root is modulo 105211 Thu Jan 15 22:24:55 2015 sqrtTime: 35 -- n: 75273840779540843473401647915202642561677612598277872901614171812367923048046108066879292836348383787563821328362477014764141769828370253 m: 5000000000000000000000000000000 deg: 5 c5: 112 c0: -1835 skew: 1.75 # Murphy_E = 7.901e-10 type: snfs lss: 1 rlim: 2700000 alim: 2700000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:05:34 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 34 秒 (日本時間)

## 7×10159-3679

### c111

name 名前 Cyp January 10, 2015 09:30:48 UTC 2015 年 1 月 10 日 (土) 18 時 30 分 48 秒 (日本時間) `227281627380588251826824237128717065288032518700650484925803790342222459614816319433811412493490890860207018319<111>` ```3464752563106238351274480784722999020670403627620113473<55> 65598227648563890902853124995188379487350808962465532303<56>``` ```01/10/15 08:40:24 v1.34.3, 01/10/15 08:40:24 v1.34.3, **************************** 01/10/15 08:40:24 v1.34.3, Starting factorization of 227281627380588251826824237128717065288032518700650484925803790342222459614816319433811412493490890860207018319 01/10/15 08:40:24 v1.34.3, using pretesting plan: none 01/10/15 08:40:24 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/10/15 08:40:24 v1.34.3, **************************** 01/10/15 08:40:24 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C111 01/10/15 08:40:24 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C111 01/10/15 08:40:24 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C111 01/10/15 08:40:24 v1.34.3, final ECM pretested depth: 0.00 01/10/15 08:40:24 v1.34.3, scheduler: switching to sieve method 01/10/15 08:40:24 v1.34.3, nfs: commencing nfs on c111: 227281627380588251826824237128717065288032518700650484925803790342222459614816319433811412493490890860207018319 01/10/15 08:40:24 v1.34.3, nfs: commencing poly selection with 8 threads 01/10/15 08:40:24 v1.34.3, nfs: setting deadline of 500 seconds 01/10/15 08:48:45 v1.34.3, nfs: completed 150 ranges of size 250 in 500.8735 seconds 01/10/15 08:48:45 v1.34.3, nfs: best poly = # norm 1.737712e-10 alpha -5.714187 e 9.547e-10 rroots 5 01/10/15 08:48:45 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 08:53:45 v1.34.3, nfs: commencing lattice sieving with 8 threads [11 lines snipped] 01/10/15 09:55:02 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 10:00:23 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 10:05:31 v1.34.3, nfs: commencing msieve filtering 01/10/15 10:06:17 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 10:11:22 v1.34.3, nfs: commencing msieve filtering 01/10/15 10:12:11 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 10:17:21 v1.34.3, nfs: commencing msieve filtering 01/10/15 10:18:13 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/10/15 10:23:24 v1.34.3, nfs: commencing msieve filtering 01/10/15 10:24:31 v1.34.3, nfs: commencing msieve linear algebra 01/10/15 10:29:00 v1.34.3, nfs: commencing msieve sqrt 01/10/15 10:30:46 v1.34.3, prp56 = 65598227648563890902853124995188379487350808962465532303 01/10/15 10:30:46 v1.34.3, prp55 = 3464752563106238351274480784722999020670403627620113473 01/10/15 10:30:46 v1.34.3, NFS elapsed time = 6622.3925 seconds. 01/10/15 10:30:46 v1.34.3, 01/10/15 10:30:46 v1.34.3, 01/10/15 10:30:46 v1.34.3, Total factoring time = 6622.4143 seconds -- Sat Jan 10 10:05:31 2015 Sat Jan 10 10:05:31 2015 commencing relation filtering Sat Jan 10 10:05:31 2015 estimated available RAM is 15987.3 MB Sat Jan 10 10:05:31 2015 commencing duplicate removal, pass 1 Sat Jan 10 10:05:46 2015 found 448692 hash collisions in 4770828 relations Sat Jan 10 10:05:51 2015 added 32761 free relations Sat Jan 10 10:05:51 2015 commencing duplicate removal, pass 2 Sat Jan 10 10:05:55 2015 found 188293 duplicates and 4615296 unique relations Sat Jan 10 10:05:55 2015 memory use: 20.6 MB Sat Jan 10 10:05:55 2015 reading ideals above 100000 Sat Jan 10 10:05:55 2015 commencing singleton removal, initial pass Sat Jan 10 10:06:14 2015 memory use: 172.2 MB Sat Jan 10 10:06:14 2015 reading all ideals from disk Sat Jan 10 10:06:14 2015 memory use: 155.9 MB Sat Jan 10 10:06:15 2015 keeping 5497382 ideals with weight <= 200, target excess is 25049 Sat Jan 10 10:06:15 2015 commencing in-memory singleton removal Sat Jan 10 10:06:15 2015 begin with 4615296 relations and 5497382 unique ideals Sat Jan 10 10:06:17 2015 reduce to 982968 relations and 1123668 ideals in 49 passes Sat Jan 10 10:06:17 2015 max relations containing the same ideal: 68 Sat Jan 10 10:11:22 2015 Sat Jan 10 10:11:22 2015 commencing relation filtering Sat Jan 10 10:11:22 2015 estimated available RAM is 15987.3 MB Sat Jan 10 10:11:22 2015 commencing duplicate removal, pass 1 Sat Jan 10 10:11:37 2015 found 506963 hash collisions in 5115788 relations Sat Jan 10 10:11:42 2015 added 59 free relations Sat Jan 10 10:11:42 2015 commencing duplicate removal, pass 2 Sat Jan 10 10:11:46 2015 found 211923 duplicates and 4903924 unique relations Sat Jan 10 10:11:46 2015 memory use: 20.6 MB Sat Jan 10 10:11:46 2015 reading ideals above 100000 Sat Jan 10 10:11:46 2015 commencing singleton removal, initial pass Sat Jan 10 10:12:08 2015 memory use: 172.2 MB Sat Jan 10 10:12:09 2015 reading all ideals from disk Sat Jan 10 10:12:09 2015 memory use: 165.7 MB Sat Jan 10 10:12:09 2015 keeping 5631485 ideals with weight <= 200, target excess is 26148 Sat Jan 10 10:12:09 2015 commencing in-memory singleton removal Sat Jan 10 10:12:10 2015 begin with 4903924 relations and 5631485 unique ideals Sat Jan 10 10:12:11 2015 reduce to 1457808 relations and 1524995 ideals in 22 passes Sat Jan 10 10:12:11 2015 max relations containing the same ideal: 87 Sat Jan 10 10:17:21 2015 Sat Jan 10 10:17:21 2015 commencing relation filtering Sat Jan 10 10:17:21 2015 estimated available RAM is 15987.3 MB Sat Jan 10 10:17:21 2015 commencing duplicate removal, pass 1 Sat Jan 10 10:17:38 2015 found 564381 hash collisions in 5430039 relations Sat Jan 10 10:17:43 2015 added 46 free relations Sat Jan 10 10:17:43 2015 commencing duplicate removal, pass 2 Sat Jan 10 10:17:47 2015 found 236532 duplicates and 5193553 unique relations Sat Jan 10 10:17:47 2015 memory use: 20.6 MB Sat Jan 10 10:17:47 2015 reading ideals above 100000 Sat Jan 10 10:17:47 2015 commencing singleton removal, initial pass Sat Jan 10 10:18:10 2015 memory use: 172.2 MB Sat Jan 10 10:18:11 2015 reading all ideals from disk Sat Jan 10 10:18:11 2015 memory use: 175.6 MB Sat Jan 10 10:18:11 2015 keeping 5756733 ideals with weight <= 200, target excess is 27427 Sat Jan 10 10:18:11 2015 commencing in-memory singleton removal Sat Jan 10 10:18:11 2015 begin with 5193553 relations and 5756733 unique ideals Sat Jan 10 10:18:13 2015 reduce to 1877385 relations and 1850018 ideals in 22 passes Sat Jan 10 10:18:13 2015 max relations containing the same ideal: 107 Sat Jan 10 10:23:24 2015 Sat Jan 10 10:23:24 2015 commencing relation filtering Sat Jan 10 10:23:24 2015 estimated available RAM is 15987.3 MB Sat Jan 10 10:23:24 2015 commencing duplicate removal, pass 1 Sat Jan 10 10:23:41 2015 found 625855 hash collisions in 5753152 relations Sat Jan 10 10:23:47 2015 added 21 free relations Sat Jan 10 10:23:47 2015 commencing duplicate removal, pass 2 Sat Jan 10 10:23:51 2015 found 263295 duplicates and 5489878 unique relations Sat Jan 10 10:23:51 2015 memory use: 20.6 MB Sat Jan 10 10:23:51 2015 reading ideals above 100000 Sat Jan 10 10:23:51 2015 commencing singleton removal, initial pass Sat Jan 10 10:24:14 2015 memory use: 172.2 MB Sat Jan 10 10:24:15 2015 reading all ideals from disk Sat Jan 10 10:24:15 2015 memory use: 185.7 MB Sat Jan 10 10:24:15 2015 keeping 5876627 ideals with weight <= 200, target excess is 28953 Sat Jan 10 10:24:16 2015 commencing in-memory singleton removal Sat Jan 10 10:24:16 2015 begin with 5489878 relations and 5876627 unique ideals Sat Jan 10 10:24:18 2015 reduce to 2292111 relations and 2149904 ideals in 19 passes Sat Jan 10 10:24:18 2015 max relations containing the same ideal: 116 Sat Jan 10 10:24:18 2015 removing 406467 relations and 352156 ideals in 54311 cliques Sat Jan 10 10:24:18 2015 commencing in-memory singleton removal Sat Jan 10 10:24:18 2015 begin with 1885644 relations and 2149904 unique ideals Sat Jan 10 10:24:19 2015 reduce to 1824282 relations and 1734434 ideals in 10 passes Sat Jan 10 10:24:19 2015 max relations containing the same ideal: 97 Sat Jan 10 10:24:19 2015 removing 307655 relations and 253344 ideals in 54311 cliques Sat Jan 10 10:24:19 2015 commencing in-memory singleton removal Sat Jan 10 10:24:20 2015 begin with 1516627 relations and 1734434 unique ideals Sat Jan 10 10:24:20 2015 reduce to 1471955 relations and 1435065 ideals in 8 passes Sat Jan 10 10:24:20 2015 max relations containing the same ideal: 82 Sat Jan 10 10:24:20 2015 relations with 0 large ideals: 94 Sat Jan 10 10:24:20 2015 relations with 1 large ideals: 172 Sat Jan 10 10:24:20 2015 relations with 2 large ideals: 2979 Sat Jan 10 10:24:20 2015 relations with 3 large ideals: 25807 Sat Jan 10 10:24:20 2015 relations with 4 large ideals: 114845 Sat Jan 10 10:24:20 2015 relations with 5 large ideals: 293917 Sat Jan 10 10:24:20 2015 relations with 6 large ideals: 433613 Sat Jan 10 10:24:20 2015 relations with 7+ large ideals: 600528 Sat Jan 10 10:24:20 2015 commencing 2-way merge Sat Jan 10 10:24:21 2015 reduce to 845323 relation sets and 808434 unique ideals Sat Jan 10 10:24:21 2015 ignored 1 oversize relation sets Sat Jan 10 10:24:21 2015 commencing full merge Sat Jan 10 10:24:28 2015 memory use: 92.0 MB Sat Jan 10 10:24:28 2015 found 413386 cycles, need 406634 Sat Jan 10 10:24:28 2015 weight of 406634 cycles is about 28662889 (70.49/cycle) Sat Jan 10 10:24:28 2015 distribution of cycle lengths: Sat Jan 10 10:24:28 2015 1 relations: 44364 Sat Jan 10 10:24:28 2015 2 relations: 43488 Sat Jan 10 10:24:28 2015 3 relations: 45068 Sat Jan 10 10:24:28 2015 4 relations: 41314 Sat Jan 10 10:24:28 2015 5 relations: 38031 Sat Jan 10 10:24:28 2015 6 relations: 32691 Sat Jan 10 10:24:28 2015 7 relations: 29059 Sat Jan 10 10:24:28 2015 8 relations: 25366 Sat Jan 10 10:24:28 2015 9 relations: 21772 Sat Jan 10 10:24:28 2015 10+ relations: 85481 Sat Jan 10 10:24:28 2015 heaviest cycle: 22 relations Sat Jan 10 10:24:28 2015 commencing cycle optimization Sat Jan 10 10:24:29 2015 start with 2518806 relations Sat Jan 10 10:24:30 2015 pruned 54998 relations Sat Jan 10 10:24:30 2015 memory use: 84.2 MB Sat Jan 10 10:24:30 2015 distribution of cycle lengths: Sat Jan 10 10:24:30 2015 1 relations: 44364 Sat Jan 10 10:24:30 2015 2 relations: 44484 Sat Jan 10 10:24:30 2015 3 relations: 46531 Sat Jan 10 10:24:30 2015 4 relations: 42244 Sat Jan 10 10:24:30 2015 5 relations: 38703 Sat Jan 10 10:24:30 2015 6 relations: 33005 Sat Jan 10 10:24:30 2015 7 relations: 29441 Sat Jan 10 10:24:30 2015 8 relations: 25359 Sat Jan 10 10:24:30 2015 9 relations: 21704 Sat Jan 10 10:24:30 2015 10+ relations: 80799 Sat Jan 10 10:24:30 2015 heaviest cycle: 21 relations Sat Jan 10 10:24:31 2015 RelProcTime: 67 Sat Jan 10 10:24:31 2015 Sat Jan 10 10:24:31 2015 commencing linear algebra Sat Jan 10 10:24:31 2015 read 406634 cycles Sat Jan 10 10:24:31 2015 cycles contain 1413044 unique relations Sat Jan 10 10:24:38 2015 read 1413044 relations Sat Jan 10 10:24:39 2015 using 20 quadratic characters above 67108662 Sat Jan 10 10:24:43 2015 building initial matrix Sat Jan 10 10:24:51 2015 memory use: 176.0 MB Sat Jan 10 10:24:51 2015 read 406634 cycles Sat Jan 10 10:24:51 2015 matrix is 406461 x 406634 (121.9 MB) with weight 38292304 (94.17/col) Sat Jan 10 10:24:51 2015 sparse part has weight 27478728 (67.58/col) Sat Jan 10 10:24:52 2015 filtering completed in 2 passes Sat Jan 10 10:24:53 2015 matrix is 405626 x 405803 (121.8 MB) with weight 38256613 (94.27/col) Sat Jan 10 10:24:53 2015 sparse part has weight 27466164 (67.68/col) Sat Jan 10 10:24:53 2015 matrix starts at (0, 0) Sat Jan 10 10:24:53 2015 matrix is 405626 x 405803 (121.8 MB) with weight 38256613 (94.27/col) Sat Jan 10 10:24:53 2015 sparse part has weight 27466164 (67.68/col) Sat Jan 10 10:24:53 2015 saving the first 48 matrix rows for later Sat Jan 10 10:24:53 2015 matrix includes 64 packed rows Sat Jan 10 10:24:53 2015 matrix is 405578 x 405803 (117.1 MB) with weight 30448395 (75.03/col) Sat Jan 10 10:24:53 2015 sparse part has weight 26632096 (65.63/col) Sat Jan 10 10:24:53 2015 using block size 65536 for processor cache size 8192 kB Sat Jan 10 10:24:54 2015 commencing Lanczos iteration (8 threads) Sat Jan 10 10:24:54 2015 memory use: 111.5 MB Sat Jan 10 10:25:02 2015 linear algebra at 3.0%, ETA 0h 4m Sat Jan 10 10:29:00 2015 lanczos halted after 6415 iterations (dim = 405576) Sat Jan 10 10:29:00 2015 recovered 30 nontrivial dependencies Sat Jan 10 10:29:00 2015 BLanczosTime: 269 Sat Jan 10 10:29:00 2015 Sat Jan 10 10:29:00 2015 commencing square root phase Sat Jan 10 10:29:00 2015 reading relations for dependency 1 Sat Jan 10 10:29:00 2015 read 202418 cycles Sat Jan 10 10:29:00 2015 cycles contain 705910 unique relations Sat Jan 10 10:29:07 2015 read 705910 relations Sat Jan 10 10:29:08 2015 multiplying 705910 relations Sat Jan 10 10:29:28 2015 multiply complete, coefficients have about 30.01 million bits Sat Jan 10 10:29:28 2015 initial square root is modulo 414930487 Sat Jan 10 10:29:54 2015 GCD is 1, no factor found Sat Jan 10 10:29:54 2015 reading relations for dependency 2 Sat Jan 10 10:29:54 2015 read 202192 cycles Sat Jan 10 10:29:54 2015 cycles contain 704422 unique relations Sat Jan 10 10:29:59 2015 read 704422 relations Sat Jan 10 10:30:01 2015 multiplying 704422 relations Sat Jan 10 10:30:21 2015 multiply complete, coefficients have about 29.94 million bits Sat Jan 10 10:30:21 2015 initial square root is modulo 397711117 Sat Jan 10 10:30:46 2015 sqrtTime: 106 -- n: 227281627380588251826824237128717065288032518700650484925803790342222459614816319433811412493490890860207018319 skew: 33543.83 c0: -85382971384226959397462319 c1: 15018724425238895096064 c2: 729490490717569491 c3: -34809627784252 c4: -686289572 c5: 9108 Y0: -1902954955817836158850 Y1: 71727283019 rlim: 3460000 alim: 3460000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6480 / 2318Pierre JammesJanuary 9, 2015 12:32:18 UTC 2015 年 1 月 9 日 (金) 21 時 32 分 18 秒 (日本時間)

## 7×10161-3679

### c155

name 名前 Jo Yeong Uk January 24, 2015 23:36:18 UTC 2015 年 1 月 25 日 (日) 8 時 36 分 18 秒 (日本時間) `18515666224221596763017168016683567502286618651311994980244180903031789573791317808370419551506655469449772327400464208913002634541245140993227418961359471<155>` ```8246222839059538147071186155103751374710449<43> 203420577934394845499307370430988206421583744720037<51> 11037974662607348656864191962093284376945652240854581510762867<62>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 18515666224221596763017168016683567502286618651311994980244180903031789573791317808370419551506655469449772327400464208913002634541245140993227418961359471 (155 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2189132411 Step 1 took 8431ms Step 2 took 2881ms ********** Factor found in step 2: 8246222839059538147071186155103751374710449 Found probable prime factor of 43 digits: 8246222839059538147071186155103751374710449 Composite cofactor 2245351185092793817711751887329702373149689715606274450141145216943251100295262366778528575155398073299210466079 has 112 digits Number: 77737_161 N=2245351185092793817711751887329702373149689715606274450141145216943251100295262366778528575155398073299210466079 ( 112 digits) Divisors found: r1=203420577934394845499307370430988206421583744720037 r2=11037974662607348656864191962093284376945652240854581510762867 Version: Total time: 7.32 hours. Scaled time: 38.39 units (timescale=5.246). Factorization parameters were as follows: name: 77737_161 n: 2245351185092793817711751887329702373149689715606274450141145216943251100295262366778528575155398073299210466079 skew: 48073.34 # norm 3.79e+15 c5: 5400 c4: 3410271100 c3: -44692578219090 c2: -6010676640199957229 c1: 103800486094581809558562 c0: 867111791039574230577511840 # alpha -6.37 Y1: 33354301673 Y0: -3340239101195787798471 # Murphy_E 7.93e-10 # M 468138464480308768410929070279378604836399807706319586456883370485240432354393265164965617081897514915372087547 type: gnfs rlim: 2400000 alim: 2400000 lpbr: 27 lpba: 27 mfbr: 53 mfba: 53 rlambda: 2.6 alambda: 2.6 qintsize: 60000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 53/53 Sieved algebraic special-q in [1200000, 1980001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9127329 Max relations in full relation-set: Initial matrix: Pruned matrix : 456869 x 457117 Polynomial selection time: 0.87 hours. Total sieving time: 5.93 hours. Total relation processing time: 0.28 hours. Matrix solve time: 0.20 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,53,53,2.6,2.6,60000 total time: 7.32 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 BogoMIPS).``` `GMP-ECM v6.4.4 / 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:05:35 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 35 秒 (日本時間)

## 7×10162-3679

### c152

name 名前 Jo Yeong Uk February 1, 2015 14:19:03 UTC 2015 年 2 月 1 日 (日) 23 時 19 分 3 秒 (日本時間) `18249100087549320667075758729874155032715125137503991623478775188149144329467564240177505087907195204850718800402121830899911815193527589809497867789689<152>` ```718057337019503144747429833102861133715377849<45> 25414544419666109655765588907786171975799366365374187194411035932639236744180550244305312552703358623444161<107>``` ```Number: 77737_162 N=18249100087549320667075758729874155032715125137503991623478775188149144329467564240177505087907195204850718800402121830899911815193527589809497867789689 ( 152 digits) SNFS difficulty: 162 digits. Divisors found: r1=718057337019503144747429833102861133715377849 r2=25414544419666109655765588907786171975799366365374187194411035932639236744180550244305312552703358623444161 Version: Total time: 13.11 hours. Scaled time: 67.42 units (timescale=5.143). Factorization parameters were as follows: n: 18249100087549320667075758729874155032715125137503991623478775188149144329467564240177505087907195204850718800402121830899911815193527589809497867789689 m: 100000000000000000000000000000000 deg: 5 c5: 700 c0: -367 skew: 0.88 # Murphy_E = 3.717e-10 type: snfs lss: 1 rlim: 3600000 alim: 3600000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 3600000/3600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [1800000, 3700001) Primes: rational ideals reading, algebraic ideals reading, Relations: 9679894 Max relations in full relation-set: Initial matrix: Pruned matrix : 713760 x 714008 Total sieving time: 12.14 hours. Total relation processing time: 0.45 hours. Matrix solve time: 0.48 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000 total time: 13.11 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941) Total of 12 processors activated (81598.58 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:05:35 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 35 秒 (日本時間)

## 7×10164-3679

### c157

name 名前 Serge Batalov January 9, 2015 03:52:04 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 4 秒 (日本時間) `1542694757295778712655208398326237014584510616044055007461452559378095313725061482501761024632822063794963736766899357708073583480979689892392434632844080253<157>` ```15716268822535468725388435056395003<35> 98159097093307379038758430803337647645383704561888592926695086704577604270206162251708421365417198712594618332403048811751<122>``` ```Input number is 1542694757295778712655208398326237014584510616044055007461452559378095313725061482501761024632822063794963736766899357708073583480979689892392434632844080253 (157 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3395621347 Step 1 took 11018ms Step 2 took 8471ms ********** Factor found in step 2: 15716268822535468725388435056395003 Found probable prime factor of 35 digits: 15716268822535468725388435056395003 Probable prime cofactor 98159097093307379038758430803337647645383704561888592926695086704577604270206162251708421365417198712594618332403048811751 has 122 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:05:36 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 36 秒 (日本時間)

## 7×10165-3679

### c143

name 名前 Cyp February 26, 2015 11:10:53 UTC 2015 年 2 月 26 日 (木) 20 時 10 分 53 秒 (日本時間) `42453739372471881949791989225984639082432001222127720630878546624154214415997450264116828065027445903807273923086341922191982340334884525295171<143>` ```4290913700903358481684760865136287540367769821<46> 119491272652349327816254733434518118137422690113<48> 82799932491115414483079103780347174583881308668127<50>``` ```02/26/15 07:45:41 v1.34.3, 02/26/15 07:45:41 v1.34.3, **************************** 02/26/15 07:45:41 v1.34.3, Starting factorization of 42453739372471881949791989225984639082432001222127720630878546624154214415997450264116828065027445903807273923086341922191982340334884525295171 02/26/15 07:45:41 v1.34.3, using pretesting plan: none 02/26/15 07:45:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 02/26/15 07:45:41 v1.34.3, **************************** 02/26/15 07:45:41 v1.34.3, nfs: commencing nfs on c143: 42453739372471881949791989225984639082432001222127720630878546624154214415997450264116828065027445903807273923086341922191982340334884525295171 02/26/15 07:45:41 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 02/26/15 07:45:41 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/26/15 07:50:23 v1.34.3, nfs: commencing lattice sieving with 8 threads [43 lines snipped] 02/26/15 11:18:40 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/26/15 11:23:22 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/26/15 11:28:15 v1.34.3, nfs: commencing msieve filtering 02/26/15 11:30:11 v1.34.3, nfs: commencing msieve linear algebra 02/26/15 11:44:32 v1.34.3, nfs: commencing msieve sqrt 02/26/15 11:45:18 v1.34.3, prp46 = 4290913700903358481684760865136287540367769821 02/26/15 11:45:18 v1.34.3, C97 = 9893869308891989879200755528627907100521861396113520232335209958799545965338461430858917481128351 02/26/15 11:45:18 v1.34.3, NFS elapsed time = 14376.5241 seconds. 02/26/15 11:45:18 v1.34.3, 02/26/15 11:45:18 v1.34.3, 02/26/15 11:45:18 v1.34.3, 02/26/15 11:45:18 v1.34.3, **************************** 02/26/15 11:45:18 v1.34.3, Starting factorization of 9893869308891989879200755528627907100521861396113520232335209958799545965338461430858917481128351 02/26/15 11:45:18 v1.34.3, using pretesting plan: normal 02/26/15 11:45:18 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 02/26/15 11:45:18 v1.34.3, **************************** 02/26/15 11:45:18 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C97 02/26/15 11:45:18 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C97 02/26/15 11:45:18 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C97 02/26/15 11:45:18 v1.34.3, pm1: starting B1 = 150K, B2 = gmp-ecm default on C97 02/26/15 11:45:18 v1.34.3, current ECM pretesting depth: 0.00 02/26/15 11:45:18 v1.34.3, scheduled 30 curves at B1=2000 toward target pretesting depth of 29.85 02/26/15 11:45:18 v1.34.3, Finished 30 curves using Lenstra ECM method on C97 input, B1=2K, B2=gmp-ecm default 02/26/15 11:45:18 v1.34.3, current ECM pretesting depth: 15.18 02/26/15 11:45:18 v1.34.3, scheduled 74 curves at B1=11000 toward target pretesting depth of 29.85 02/26/15 11:45:20 v1.34.3, Finished 74 curves using Lenstra ECM method on C97 input, B1=11K, B2=gmp-ecm default 02/26/15 11:45:20 v1.34.3, current ECM pretesting depth: 20.24 02/26/15 11:45:20 v1.34.3, scheduled 214 curves at B1=50000 toward target pretesting depth of 29.85 02/26/15 11:45:47 v1.34.3, Finished 214 curves using Lenstra ECM method on C97 input, B1=50K, B2=gmp-ecm default 02/26/15 11:45:47 v1.34.3, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C97 02/26/15 11:45:48 v1.34.3, current ECM pretesting depth: 25.33 02/26/15 11:45:48 v1.34.3, scheduled 390 curves at B1=250000 toward target pretesting depth of 29.85 02/26/15 11:49:22 v1.34.3, Finished 390 curves using Lenstra ECM method on C97 input, B1=250K, B2=gmp-ecm default 02/26/15 11:49:22 v1.34.3, final ECM pretested depth: 29.87 02/26/15 11:49:22 v1.34.3, scheduler: switching to sieve method 02/26/15 11:49:22 v1.34.3, nfs: commencing nfs on c97: 9893869308891989879200755528627907100521861396113520232335209958799545965338461430858917481128351 02/26/15 11:49:22 v1.34.3, nfs: commencing poly selection with 8 threads 02/26/15 11:49:22 v1.34.3, nfs: setting deadline of 124 seconds 02/26/15 11:51:35 v1.34.3, nfs: completed 189 ranges of size 250 in 133.0333 seconds 02/26/15 11:51:35 v1.34.3, nfs: best poly = # norm 3.508038e-13 alpha -5.008034 e 1.945e-08 rroots 4 02/26/15 11:51:35 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/26/15 11:52:56 v1.34.3, nfs: commencing lattice sieving with 8 threads [3 lines snipped] 02/26/15 11:58:10 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/26/15 11:59:31 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/26/15 12:00:47 v1.34.3, nfs: commencing msieve filtering 02/26/15 12:01:03 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/26/15 12:02:21 v1.34.3, nfs: commencing msieve filtering 02/26/15 12:02:39 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/26/15 12:04:00 v1.34.3, nfs: commencing msieve filtering 02/26/15 12:04:21 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/26/15 12:05:46 v1.34.3, nfs: commencing msieve filtering 02/26/15 12:06:16 v1.34.3, nfs: commencing msieve linear algebra 02/26/15 12:09:43 v1.34.3, nfs: commencing msieve sqrt 02/26/15 12:10:52 v1.34.3, prp48 = 119491272652349327816254733434518118137422690113 02/26/15 12:10:52 v1.34.3, prp50 = 82799932491115414483079103780347174583881308668127 02/26/15 12:10:52 v1.34.3, NFS elapsed time = 1290.1779 seconds. 02/26/15 12:10:52 v1.34.3, 02/26/15 12:10:52 v1.34.3, 02/26/15 12:10:52 v1.34.3, Total factoring time = 1534.1225 seconds 02/26/15 12:10:52 v1.34.3, Total factoring time = 15910.6753 seconds -- Thu Feb 26 11:28:15 2015 Thu Feb 26 11:28:15 2015 commencing relation filtering Thu Feb 26 11:28:15 2015 estimated available RAM is 15987.3 MB Thu Feb 26 11:28:15 2015 commencing duplicate removal, pass 1 Thu Feb 26 11:28:44 2015 found 1300948 hash collisions in 10208656 relations Thu Feb 26 11:28:53 2015 added 366874 free relations Thu Feb 26 11:28:53 2015 commencing duplicate removal, pass 2 Thu Feb 26 11:29:01 2015 found 816243 duplicates and 9759287 unique relations Thu Feb 26 11:29:01 2015 memory use: 41.3 MB Thu Feb 26 11:29:01 2015 reading ideals above 100000 Thu Feb 26 11:29:01 2015 commencing singleton removal, initial pass Thu Feb 26 11:29:44 2015 memory use: 344.5 MB Thu Feb 26 11:29:44 2015 reading all ideals from disk Thu Feb 26 11:29:44 2015 memory use: 347.0 MB Thu Feb 26 11:29:44 2015 keeping 10406095 ideals with weight <= 200, target excess is 50988 Thu Feb 26 11:29:45 2015 commencing in-memory singleton removal Thu Feb 26 11:29:45 2015 begin with 9759287 relations and 10406095 unique ideals Thu Feb 26 11:29:49 2015 reduce to 4386121 relations and 3885494 ideals in 14 passes Thu Feb 26 11:29:49 2015 max relations containing the same ideal: 119 Thu Feb 26 11:29:50 2015 removing 1022635 relations and 801895 ideals in 220740 cliques Thu Feb 26 11:29:50 2015 commencing in-memory singleton removal Thu Feb 26 11:29:50 2015 begin with 3363486 relations and 3885494 unique ideals Thu Feb 26 11:29:52 2015 reduce to 3167758 relations and 2875457 ideals in 10 passes Thu Feb 26 11:29:52 2015 max relations containing the same ideal: 95 Thu Feb 26 11:29:52 2015 removing 824561 relations and 603821 ideals in 220740 cliques Thu Feb 26 11:29:53 2015 commencing in-memory singleton removal Thu Feb 26 11:29:53 2015 begin with 2343197 relations and 2875457 unique ideals Thu Feb 26 11:29:53 2015 reduce to 2173428 relations and 2089726 ideals in 9 passes Thu Feb 26 11:29:53 2015 max relations containing the same ideal: 72 Thu Feb 26 11:29:54 2015 removing 153325 relations and 128770 ideals in 24555 cliques Thu Feb 26 11:29:54 2015 commencing in-memory singleton removal Thu Feb 26 11:29:54 2015 begin with 2020103 relations and 2089726 unique ideals Thu Feb 26 11:29:55 2015 reduce to 2012893 relations and 1953670 ideals in 7 passes Thu Feb 26 11:29:55 2015 max relations containing the same ideal: 68 Thu Feb 26 11:29:55 2015 relations with 0 large ideals: 1184 Thu Feb 26 11:29:55 2015 relations with 1 large ideals: 363 Thu Feb 26 11:29:55 2015 relations with 2 large ideals: 6256 Thu Feb 26 11:29:55 2015 relations with 3 large ideals: 48115 Thu Feb 26 11:29:55 2015 relations with 4 large ideals: 192124 Thu Feb 26 11:29:55 2015 relations with 5 large ideals: 435858 Thu Feb 26 11:29:55 2015 relations with 6 large ideals: 599035 Thu Feb 26 11:29:55 2015 relations with 7+ large ideals: 729958 Thu Feb 26 11:29:55 2015 commencing 2-way merge Thu Feb 26 11:29:56 2015 reduce to 1205216 relation sets and 1145993 unique ideals Thu Feb 26 11:29:56 2015 commencing full merge Thu Feb 26 11:30:06 2015 memory use: 144.9 MB Thu Feb 26 11:30:07 2015 found 616009 cycles, need 608193 Thu Feb 26 11:30:07 2015 weight of 608193 cycles is about 42701272 (70.21/cycle) Thu Feb 26 11:30:07 2015 distribution of cycle lengths: Thu Feb 26 11:30:07 2015 1 relations: 66535 Thu Feb 26 11:30:07 2015 2 relations: 63506 Thu Feb 26 11:30:07 2015 3 relations: 64937 Thu Feb 26 11:30:07 2015 4 relations: 62026 Thu Feb 26 11:30:07 2015 5 relations: 59215 Thu Feb 26 11:30:07 2015 6 relations: 53635 Thu Feb 26 11:30:07 2015 7 relations: 47044 Thu Feb 26 11:30:07 2015 8 relations: 41038 Thu Feb 26 11:30:07 2015 9 relations: 34741 Thu Feb 26 11:30:07 2015 10+ relations: 115516 Thu Feb 26 11:30:07 2015 heaviest cycle: 22 relations Thu Feb 26 11:30:07 2015 commencing cycle optimization Thu Feb 26 11:30:07 2015 start with 3649247 relations Thu Feb 26 11:30:10 2015 pruned 90499 relations Thu Feb 26 11:30:10 2015 memory use: 119.3 MB Thu Feb 26 11:30:10 2015 distribution of cycle lengths: Thu Feb 26 11:30:10 2015 1 relations: 66535 Thu Feb 26 11:30:10 2015 2 relations: 64782 Thu Feb 26 11:30:10 2015 3 relations: 67084 Thu Feb 26 11:30:10 2015 4 relations: 63578 Thu Feb 26 11:30:10 2015 5 relations: 60942 Thu Feb 26 11:30:10 2015 6 relations: 54568 Thu Feb 26 11:30:10 2015 7 relations: 47930 Thu Feb 26 11:30:10 2015 8 relations: 41570 Thu Feb 26 11:30:10 2015 9 relations: 34749 Thu Feb 26 11:30:10 2015 10+ relations: 106455 Thu Feb 26 11:30:10 2015 heaviest cycle: 21 relations Thu Feb 26 11:30:11 2015 RelProcTime: 116 Thu Feb 26 11:30:11 2015 Thu Feb 26 11:30:11 2015 commencing linear algebra Thu Feb 26 11:30:11 2015 read 608193 cycles Thu Feb 26 11:30:12 2015 cycles contain 1970345 unique relations Thu Feb 26 11:30:22 2015 read 1970345 relations Thu Feb 26 11:30:24 2015 using 20 quadratic characters above 134217690 Thu Feb 26 11:30:30 2015 building initial matrix Thu Feb 26 11:30:40 2015 memory use: 240.5 MB Thu Feb 26 11:30:40 2015 read 608193 cycles Thu Feb 26 11:30:40 2015 matrix is 608016 x 608193 (182.0 MB) with weight 54785134 (90.08/col) Thu Feb 26 11:30:40 2015 sparse part has weight 41014045 (67.44/col) Thu Feb 26 11:30:43 2015 filtering completed in 2 passes Thu Feb 26 11:30:43 2015 matrix is 607741 x 607918 (182.0 MB) with weight 54775751 (90.10/col) Thu Feb 26 11:30:43 2015 sparse part has weight 41010893 (67.46/col) Thu Feb 26 11:30:44 2015 matrix starts at (0, 0) Thu Feb 26 11:30:44 2015 matrix is 607741 x 607918 (182.0 MB) with weight 54775751 (90.10/col) Thu Feb 26 11:30:44 2015 sparse part has weight 41010893 (67.46/col) Thu Feb 26 11:30:44 2015 saving the first 48 matrix rows for later Thu Feb 26 11:30:44 2015 matrix includes 64 packed rows Thu Feb 26 11:30:45 2015 matrix is 607693 x 607918 (172.4 MB) with weight 43025348 (70.77/col) Thu Feb 26 11:30:45 2015 sparse part has weight 39123843 (64.36/col) Thu Feb 26 11:30:45 2015 using block size 65536 for processor cache size 8192 kB Thu Feb 26 11:30:46 2015 commencing Lanczos iteration (8 threads) Thu Feb 26 11:30:46 2015 memory use: 167.2 MB Thu Feb 26 11:30:50 2015 linear algebra at 0.5%, ETA 0h13m Thu Feb 26 11:44:32 2015 lanczos halted after 9610 iterations (dim = 607692) Thu Feb 26 11:44:32 2015 recovered 37 nontrivial dependencies Thu Feb 26 11:44:32 2015 BLanczosTime: 861 Thu Feb 26 11:44:32 2015 Thu Feb 26 11:44:32 2015 commencing square root phase Thu Feb 26 11:44:32 2015 reading relations for dependency 1 Thu Feb 26 11:44:32 2015 read 303708 cycles Thu Feb 26 11:44:33 2015 cycles contain 984026 unique relations Thu Feb 26 11:44:41 2015 read 984026 relations Thu Feb 26 11:44:43 2015 multiplying 984026 relations Thu Feb 26 11:44:58 2015 multiply complete, coefficients have about 24.54 million bits Thu Feb 26 11:44:58 2015 initial square root is modulo 11162441 Thu Feb 26 11:45:18 2015 sqrtTime: 46 Thu Feb 26 12:00:47 2015 Thu Feb 26 12:00:47 2015 commencing relation filtering Thu Feb 26 12:00:47 2015 estimated available RAM is 15987.3 MB Thu Feb 26 12:00:47 2015 commencing duplicate removal, pass 1 Thu Feb 26 12:00:52 2015 found 95742 hash collisions in 1980213 relations Thu Feb 26 12:00:54 2015 added 81382 free relations Thu Feb 26 12:00:54 2015 commencing duplicate removal, pass 2 Thu Feb 26 12:00:55 2015 found 44931 duplicates and 2016664 unique relations Thu Feb 26 12:00:55 2015 memory use: 6.1 MB Thu Feb 26 12:00:55 2015 reading ideals above 100000 Thu Feb 26 12:00:55 2015 commencing singleton removal, initial pass Thu Feb 26 12:01:03 2015 memory use: 86.1 MB Thu Feb 26 12:01:03 2015 reading all ideals from disk Thu Feb 26 12:01:03 2015 memory use: 60.9 MB Thu Feb 26 12:01:03 2015 keeping 2693330 ideals with weight <= 200, target excess is 24261 Thu Feb 26 12:01:03 2015 commencing in-memory singleton removal Thu Feb 26 12:01:03 2015 begin with 2016664 relations and 2693330 unique ideals Thu Feb 26 12:01:03 2015 reduce to 472 relations and 3 ideals in 11 passes Thu Feb 26 12:01:03 2015 max relations containing the same ideal: 2 Thu Feb 26 12:02:21 2015 Thu Feb 26 12:02:21 2015 commencing relation filtering Thu Feb 26 12:02:21 2015 estimated available RAM is 15987.3 MB Thu Feb 26 12:02:21 2015 commencing duplicate removal, pass 1 Thu Feb 26 12:02:27 2015 found 126904 hash collisions in 2335503 relations Thu Feb 26 12:02:29 2015 added 1344 free relations Thu Feb 26 12:02:29 2015 commencing duplicate removal, pass 2 Thu Feb 26 12:02:30 2015 found 57050 duplicates and 2279797 unique relations Thu Feb 26 12:02:30 2015 memory use: 8.2 MB Thu Feb 26 12:02:30 2015 reading ideals above 100000 Thu Feb 26 12:02:30 2015 commencing singleton removal, initial pass Thu Feb 26 12:02:39 2015 memory use: 86.1 MB Thu Feb 26 12:02:39 2015 reading all ideals from disk Thu Feb 26 12:02:39 2015 memory use: 68.9 MB Thu Feb 26 12:02:39 2015 keeping 2835060 ideals with weight <= 200, target excess is 25173 Thu Feb 26 12:02:39 2015 commencing in-memory singleton removal Thu Feb 26 12:02:39 2015 begin with 2279797 relations and 2835060 unique ideals Thu Feb 26 12:02:39 2015 reduce to 489 relations and 3 ideals in 23 passes Thu Feb 26 12:02:39 2015 max relations containing the same ideal: 2 Thu Feb 26 12:04:00 2015 Thu Feb 26 12:04:00 2015 commencing relation filtering Thu Feb 26 12:04:00 2015 estimated available RAM is 15987.3 MB Thu Feb 26 12:04:00 2015 commencing duplicate removal, pass 1 Thu Feb 26 12:04:07 2015 found 157344 hash collisions in 2622762 relations Thu Feb 26 12:04:09 2015 added 938 free relations Thu Feb 26 12:04:09 2015 commencing duplicate removal, pass 2 Thu Feb 26 12:04:11 2015 found 70750 duplicates and 2552950 unique relations Thu Feb 26 12:04:11 2015 memory use: 8.2 MB Thu Feb 26 12:04:11 2015 reading ideals above 100000 Thu Feb 26 12:04:11 2015 commencing singleton removal, initial pass Thu Feb 26 12:04:20 2015 memory use: 86.1 MB Thu Feb 26 12:04:20 2015 reading all ideals from disk Thu Feb 26 12:04:20 2015 memory use: 77.2 MB Thu Feb 26 12:04:20 2015 keeping 2962744 ideals with weight <= 200, target excess is 26172 Thu Feb 26 12:04:20 2015 commencing in-memory singleton removal Thu Feb 26 12:04:20 2015 begin with 2552950 relations and 2962744 unique ideals Thu Feb 26 12:04:21 2015 reduce to 718930 relations and 739792 ideals in 31 passes Thu Feb 26 12:04:21 2015 max relations containing the same ideal: 81 Thu Feb 26 12:05:46 2015 Thu Feb 26 12:05:46 2015 commencing relation filtering Thu Feb 26 12:05:46 2015 estimated available RAM is 15987.3 MB Thu Feb 26 12:05:46 2015 commencing duplicate removal, pass 1 Thu Feb 26 12:05:55 2015 found 190682 hash collisions in 2908649 relations Thu Feb 26 12:05:56 2015 added 712 free relations Thu Feb 26 12:05:56 2015 commencing duplicate removal, pass 2 Thu Feb 26 12:05:58 2015 found 85989 duplicates and 2823372 unique relations Thu Feb 26 12:05:58 2015 memory use: 8.2 MB Thu Feb 26 12:05:58 2015 reading ideals above 100000 Thu Feb 26 12:05:58 2015 commencing singleton removal, initial pass Thu Feb 26 12:06:09 2015 memory use: 86.1 MB Thu Feb 26 12:06:09 2015 reading all ideals from disk Thu Feb 26 12:06:09 2015 memory use: 85.4 MB Thu Feb 26 12:06:09 2015 keeping 3074023 ideals with weight <= 200, target excess is 27284 Thu Feb 26 12:06:09 2015 commencing in-memory singleton removal Thu Feb 26 12:06:09 2015 begin with 2823372 relations and 3074023 unique ideals Thu Feb 26 12:06:10 2015 reduce to 1105775 relations and 1033874 ideals in 17 passes Thu Feb 26 12:06:10 2015 max relations containing the same ideal: 106 Thu Feb 26 12:06:10 2015 removing 173870 relations and 153744 ideals in 20126 cliques Thu Feb 26 12:06:10 2015 commencing in-memory singleton removal Thu Feb 26 12:06:10 2015 begin with 931905 relations and 1033874 unique ideals Thu Feb 26 12:06:10 2015 reduce to 907714 relations and 855297 ideals in 9 passes Thu Feb 26 12:06:10 2015 max relations containing the same ideal: 89 Thu Feb 26 12:06:11 2015 removing 129959 relations and 109833 ideals in 20126 cliques Thu Feb 26 12:06:11 2015 commencing in-memory singleton removal Thu Feb 26 12:06:11 2015 begin with 777755 relations and 855297 unique ideals Thu Feb 26 12:06:11 2015 reduce to 760818 relations and 728113 ideals in 9 passes Thu Feb 26 12:06:11 2015 max relations containing the same ideal: 77 Thu Feb 26 12:06:11 2015 relations with 0 large ideals: 519 Thu Feb 26 12:06:11 2015 relations with 1 large ideals: 2303 Thu Feb 26 12:06:11 2015 relations with 2 large ideals: 17432 Thu Feb 26 12:06:11 2015 relations with 3 large ideals: 69090 Thu Feb 26 12:06:11 2015 relations with 4 large ideals: 158627 Thu Feb 26 12:06:11 2015 relations with 5 large ideals: 224250 Thu Feb 26 12:06:11 2015 relations with 6 large ideals: 177128 Thu Feb 26 12:06:11 2015 relations with 7+ large ideals: 111469 Thu Feb 26 12:06:11 2015 commencing 2-way merge Thu Feb 26 12:06:11 2015 reduce to 434765 relation sets and 402060 unique ideals Thu Feb 26 12:06:11 2015 commencing full merge Thu Feb 26 12:06:14 2015 memory use: 41.4 MB Thu Feb 26 12:06:14 2015 found 202213 cycles, need 198260 Thu Feb 26 12:06:14 2015 weight of 198260 cycles is about 14127939 (71.26/cycle) Thu Feb 26 12:06:14 2015 distribution of cycle lengths: Thu Feb 26 12:06:14 2015 1 relations: 19643 Thu Feb 26 12:06:14 2015 2 relations: 20024 Thu Feb 26 12:06:14 2015 3 relations: 20032 Thu Feb 26 12:06:14 2015 4 relations: 18713 Thu Feb 26 12:06:14 2015 5 relations: 16555 Thu Feb 26 12:06:14 2015 6 relations: 15193 Thu Feb 26 12:06:14 2015 7 relations: 13304 Thu Feb 26 12:06:14 2015 8 relations: 11819 Thu Feb 26 12:06:14 2015 9 relations: 10555 Thu Feb 26 12:06:14 2015 10+ relations: 52422 Thu Feb 26 12:06:14 2015 heaviest cycle: 25 relations Thu Feb 26 12:06:14 2015 commencing cycle optimization Thu Feb 26 12:06:14 2015 start with 1362713 relations Thu Feb 26 12:06:15 2015 pruned 33230 relations Thu Feb 26 12:06:15 2015 memory use: 43.8 MB Thu Feb 26 12:06:15 2015 distribution of cycle lengths: Thu Feb 26 12:06:15 2015 1 relations: 19643 Thu Feb 26 12:06:15 2015 2 relations: 20490 Thu Feb 26 12:06:15 2015 3 relations: 20746 Thu Feb 26 12:06:15 2015 4 relations: 19121 Thu Feb 26 12:06:15 2015 5 relations: 17011 Thu Feb 26 12:06:15 2015 6 relations: 15453 Thu Feb 26 12:06:15 2015 7 relations: 13515 Thu Feb 26 12:06:15 2015 8 relations: 11878 Thu Feb 26 12:06:15 2015 9 relations: 10521 Thu Feb 26 12:06:15 2015 10+ relations: 49882 Thu Feb 26 12:06:15 2015 heaviest cycle: 24 relations Thu Feb 26 12:06:16 2015 RelProcTime: 30 Thu Feb 26 12:06:16 2015 Thu Feb 26 12:06:16 2015 commencing linear algebra Thu Feb 26 12:06:16 2015 read 198260 cycles Thu Feb 26 12:06:16 2015 cycles contain 720777 unique relations Thu Feb 26 12:06:19 2015 read 720777 relations Thu Feb 26 12:06:19 2015 using 20 quadratic characters above 33554124 Thu Feb 26 12:06:21 2015 building initial matrix Thu Feb 26 12:06:25 2015 memory use: 87.3 MB Thu Feb 26 12:06:25 2015 read 198260 cycles Thu Feb 26 12:06:25 2015 matrix is 198084 x 198260 (59.8 MB) with weight 19004478 (95.86/col) Thu Feb 26 12:06:25 2015 sparse part has weight 13504001 (68.11/col) Thu Feb 26 12:06:26 2015 filtering completed in 2 passes Thu Feb 26 12:06:26 2015 matrix is 197521 x 197700 (59.8 MB) with weight 18978476 (96.00/col) Thu Feb 26 12:06:26 2015 sparse part has weight 13494195 (68.26/col) Thu Feb 26 12:06:26 2015 matrix starts at (0, 0) Thu Feb 26 12:06:26 2015 matrix is 197521 x 197700 (59.8 MB) with weight 18978476 (96.00/col) Thu Feb 26 12:06:26 2015 sparse part has weight 13494195 (68.26/col) Thu Feb 26 12:06:26 2015 saving the first 48 matrix rows for later Thu Feb 26 12:06:26 2015 matrix includes 64 packed rows Thu Feb 26 12:06:26 2015 matrix is 197473 x 197700 (57.6 MB) with weight 15056446 (76.16/col) Thu Feb 26 12:06:26 2015 sparse part has weight 13113999 (66.33/col) Thu Feb 26 12:06:26 2015 using block size 65536 for processor cache size 8192 kB Thu Feb 26 12:06:26 2015 commencing Lanczos iteration Thu Feb 26 12:06:26 2015 memory use: 43.0 MB Thu Feb 26 12:06:39 2015 linear algebra at 6.1%, ETA 0h 3m Thu Feb 26 12:09:43 2015 lanczos halted after 3124 iterations (dim = 197473) Thu Feb 26 12:09:43 2015 recovered 33 nontrivial dependencies Thu Feb 26 12:09:43 2015 BLanczosTime: 207 Thu Feb 26 12:09:43 2015 Thu Feb 26 12:09:43 2015 commencing square root phase Thu Feb 26 12:09:43 2015 reading relations for dependency 1 Thu Feb 26 12:09:43 2015 read 99393 cycles Thu Feb 26 12:09:44 2015 cycles contain 361686 unique relations Thu Feb 26 12:09:46 2015 read 361686 relations Thu Feb 26 12:09:47 2015 multiplying 361686 relations Thu Feb 26 12:09:52 2015 multiply complete, coefficients have about 15.43 million bits Thu Feb 26 12:09:52 2015 initial square root is modulo 731954243 Thu Feb 26 12:10:01 2015 GCD is N, no factor found Thu Feb 26 12:10:01 2015 reading relations for dependency 2 Thu Feb 26 12:10:01 2015 read 99108 cycles Thu Feb 26 12:10:01 2015 cycles contain 360104 unique relations Thu Feb 26 12:10:03 2015 read 360104 relations Thu Feb 26 12:10:04 2015 multiplying 360104 relations Thu Feb 26 12:10:10 2015 multiply complete, coefficients have about 15.36 million bits Thu Feb 26 12:10:10 2015 initial square root is modulo 668649677 Thu Feb 26 12:10:18 2015 GCD is N, no factor found Thu Feb 26 12:10:18 2015 reading relations for dependency 3 Thu Feb 26 12:10:18 2015 read 98421 cycles Thu Feb 26 12:10:18 2015 cycles contain 358632 unique relations Thu Feb 26 12:10:20 2015 read 358632 relations Thu Feb 26 12:10:21 2015 multiplying 358632 relations Thu Feb 26 12:10:27 2015 multiply complete, coefficients have about 15.30 million bits Thu Feb 26 12:10:27 2015 initial square root is modulo 616070453 Thu Feb 26 12:10:35 2015 GCD is 1, no factor found Thu Feb 26 12:10:35 2015 reading relations for dependency 4 Thu Feb 26 12:10:35 2015 read 98869 cycles Thu Feb 26 12:10:35 2015 cycles contain 360976 unique relations Thu Feb 26 12:10:37 2015 read 360976 relations Thu Feb 26 12:10:38 2015 multiplying 360976 relations Thu Feb 26 12:10:44 2015 multiply complete, coefficients have about 15.40 million bits Thu Feb 26 12:10:44 2015 initial square root is modulo 702626651 Thu Feb 26 12:10:52 2015 sqrtTime: 69 -- n: 9893869308891989879200755528627907100521861396113520232335209958799545965338461430858917481128351 skew: 307288.17 c0: 47981877131530387373332576 c1: 40516456042008302929 c2: -3135895721124238 c3: -1014519190 c4: 17028 Y0: -155256935769280835060055 Y1: 9082598172277 rlim: 1620000 alim: 1620000 lpbr: 25 lpba: 25 mfbr: 50 mfba: 50 rlambda: 2.5 alambda: 2.5``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:05:36 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 36 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2015 10:03:15 UTC 2015 年 2 月 22 日 (日) 19 時 3 分 15 秒 (日本時間)

## 7×10166-3679

### c163

name 名前 Cyp February 17, 2015 18:32:42 UTC 2015 年 2 月 18 日 (水) 3 時 32 分 42 秒 (日本時間) `1094382689992652001938620765129840689148413926801432077920047527476822538029798477244657067367071588261963947907383956349764707721651579819583196535497084251833091<163>` ```138243947265456089515279760783477003511561403094066577851<57> 7916315409391616039376909511194089089593933748644648136753844054815657584752796698966471337179279976721241<106>``` ```02/17/15 08:20:19 v1.34.3, 02/17/15 08:20:19 v1.34.3, **************************** 02/17/15 08:20:19 v1.34.3, Starting factorization of 1094382689992652001938620765129840689148413926801432077920047527476822538029798477244657067367071588261963947907383956349764707721651579819583196535497084251833091 02/17/15 08:20:19 v1.34.3, using pretesting plan: none 02/17/15 08:20:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 02/17/15 08:20:19 v1.34.3, **************************** 02/17/15 08:20:19 v1.34.3, nfs: commencing nfs on c163: 1094382689992652001938620765129840689148413926801432077920047527476822538029798477244657067367071588261963947907383956349764707721651579819583196535497084251833091 02/17/15 08:20:19 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 02/17/15 08:20:19 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/17/15 08:24:54 v1.34.3, nfs: commencing lattice sieving with 8 threads [56 lines snipped] 02/17/15 12:45:48 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/17/15 12:50:29 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/17/15 18:38:10 v1.34.3, 02/17/15 18:38:10 v1.34.3, **************************** 02/17/15 18:38:10 v1.34.3, Starting factorization of 1094382689992652001938620765129840689148413926801432077920047527476822538029798477244657067367071588261963947907383956349764707721651579819583196535497084251833091 02/17/15 18:38:10 v1.34.3, using pretesting plan: none 02/17/15 18:38:10 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 02/17/15 18:38:10 v1.34.3, **************************** 02/17/15 18:38:10 v1.34.3, nfs: previous data file found - commencing search for last special-q 02/17/15 18:38:16 v1.34.3, nfs: parsing special-q from .dat file 02/17/15 18:38:16 v1.34.3, nfs: commencing nfs on c163: 1094382689992652001938620765129840689148413926801432077920047527476822538029798477244657067367071588261963947907383956349764707721651579819583196535497084251833091 02/17/15 18:38:16 v1.34.3, nfs: resuming with filtering 02/17/15 18:38:16 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/17/15 18:43:33 v1.34.3, nfs: commencing lattice sieving with 8 threads [2 lines snipped] 02/17/15 18:59:25 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/17/15 19:04:42 v1.34.3, nfs: commencing lattice sieving with 8 threads 02/17/15 19:10:01 v1.34.3, nfs: commencing msieve filtering 02/17/15 19:12:13 v1.34.3, nfs: commencing msieve linear algebra 02/17/15 19:30:51 v1.34.3, nfs: commencing msieve sqrt 02/17/15 19:32:41 v1.34.3, prp106 = 7916315409391616039376909511194089089593933748644648136753844054815657584752796698966471337179279976721241 02/17/15 19:32:41 v1.34.3, prp57 = 138243947265456089515279760783477003511561403094066577851 02/17/15 19:32:41 v1.34.3, NFS elapsed time = 3271.2623 seconds. 02/17/15 19:32:41 v1.34.3, 02/17/15 19:32:41 v1.34.3, 02/17/15 19:32:41 v1.34.3, Total factoring time = 3271.2641 seconds -- Tue Feb 17 19:10:01 2015 Tue Feb 17 19:10:01 2015 commencing relation filtering Tue Feb 17 19:10:01 2015 estimated available RAM is 15987.3 MB Tue Feb 17 19:10:01 2015 commencing duplicate removal, pass 1 Tue Feb 17 19:10:31 2015 found 1423921 hash collisions in 10056518 relations Tue Feb 17 19:10:39 2015 added 367346 free relations Tue Feb 17 19:10:39 2015 commencing duplicate removal, pass 2 Tue Feb 17 19:10:48 2015 found 1008493 duplicates and 9415371 unique relations Tue Feb 17 19:10:48 2015 memory use: 41.3 MB Tue Feb 17 19:10:48 2015 reading ideals above 100000 Tue Feb 17 19:10:48 2015 commencing singleton removal, initial pass Tue Feb 17 19:11:40 2015 memory use: 344.5 MB Tue Feb 17 19:11:40 2015 reading all ideals from disk Tue Feb 17 19:11:40 2015 memory use: 339.6 MB Tue Feb 17 19:11:40 2015 keeping 10342352 ideals with weight <= 200, target excess is 49521 Tue Feb 17 19:11:41 2015 commencing in-memory singleton removal Tue Feb 17 19:11:41 2015 begin with 9415371 relations and 10342352 unique ideals Tue Feb 17 19:11:45 2015 reduce to 3950767 relations and 3678093 ideals in 20 passes Tue Feb 17 19:11:45 2015 max relations containing the same ideal: 122 Tue Feb 17 19:11:47 2015 removing 681899 relations and 574284 ideals in 107615 cliques Tue Feb 17 19:11:47 2015 commencing in-memory singleton removal Tue Feb 17 19:11:47 2015 begin with 3268868 relations and 3678093 unique ideals Tue Feb 17 19:11:48 2015 reduce to 3168449 relations and 2999864 ideals in 9 passes Tue Feb 17 19:11:48 2015 max relations containing the same ideal: 97 Tue Feb 17 19:11:49 2015 removing 532963 relations and 425348 ideals in 107615 cliques Tue Feb 17 19:11:49 2015 commencing in-memory singleton removal Tue Feb 17 19:11:49 2015 begin with 2635486 relations and 2999864 unique ideals Tue Feb 17 19:11:50 2015 reduce to 2560654 relations and 2497192 ideals in 9 passes Tue Feb 17 19:11:50 2015 max relations containing the same ideal: 84 Tue Feb 17 19:11:51 2015 relations with 0 large ideals: 1140 Tue Feb 17 19:11:51 2015 relations with 1 large ideals: 279 Tue Feb 17 19:11:51 2015 relations with 2 large ideals: 4739 Tue Feb 17 19:11:51 2015 relations with 3 large ideals: 40510 Tue Feb 17 19:11:51 2015 relations with 4 large ideals: 182572 Tue Feb 17 19:11:51 2015 relations with 5 large ideals: 471743 Tue Feb 17 19:11:51 2015 relations with 6 large ideals: 743688 Tue Feb 17 19:11:51 2015 relations with 7+ large ideals: 1115983 Tue Feb 17 19:11:51 2015 commencing 2-way merge Tue Feb 17 19:11:52 2015 reduce to 1523109 relation sets and 1459647 unique ideals Tue Feb 17 19:11:52 2015 commencing full merge Tue Feb 17 19:12:08 2015 memory use: 184.5 MB Tue Feb 17 19:12:08 2015 found 766295 cycles, need 753847 Tue Feb 17 19:12:08 2015 weight of 753847 cycles is about 52948865 (70.24/cycle) Tue Feb 17 19:12:08 2015 distribution of cycle lengths: Tue Feb 17 19:12:08 2015 1 relations: 89667 Tue Feb 17 19:12:08 2015 2 relations: 82393 Tue Feb 17 19:12:08 2015 3 relations: 82168 Tue Feb 17 19:12:08 2015 4 relations: 76192 Tue Feb 17 19:12:08 2015 5 relations: 70140 Tue Feb 17 19:12:08 2015 6 relations: 62304 Tue Feb 17 19:12:08 2015 7 relations: 54661 Tue Feb 17 19:12:08 2015 8 relations: 47065 Tue Feb 17 19:12:08 2015 9 relations: 40838 Tue Feb 17 19:12:08 2015 10+ relations: 148419 Tue Feb 17 19:12:08 2015 heaviest cycle: 22 relations Tue Feb 17 19:12:08 2015 commencing cycle optimization Tue Feb 17 19:12:09 2015 start with 4532860 relations Tue Feb 17 19:12:13 2015 pruned 110348 relations Tue Feb 17 19:12:13 2015 memory use: 148.6 MB Tue Feb 17 19:12:13 2015 distribution of cycle lengths: Tue Feb 17 19:12:13 2015 1 relations: 89667 Tue Feb 17 19:12:13 2015 2 relations: 84101 Tue Feb 17 19:12:13 2015 3 relations: 84942 Tue Feb 17 19:12:13 2015 4 relations: 78023 Tue Feb 17 19:12:13 2015 5 relations: 71721 Tue Feb 17 19:12:13 2015 6 relations: 63404 Tue Feb 17 19:12:13 2015 7 relations: 55473 Tue Feb 17 19:12:13 2015 8 relations: 47510 Tue Feb 17 19:12:13 2015 9 relations: 40762 Tue Feb 17 19:12:13 2015 10+ relations: 138244 Tue Feb 17 19:12:13 2015 heaviest cycle: 22 relations Tue Feb 17 19:12:13 2015 RelProcTime: 132 Tue Feb 17 19:12:13 2015 Tue Feb 17 19:12:13 2015 commencing linear algebra Tue Feb 17 19:12:14 2015 read 753847 cycles Tue Feb 17 19:12:14 2015 cycles contain 2469670 unique relations Tue Feb 17 19:12:26 2015 read 2469670 relations Tue Feb 17 19:12:28 2015 using 20 quadratic characters above 134217104 Tue Feb 17 19:12:35 2015 building initial matrix Tue Feb 17 19:12:50 2015 memory use: 308.7 MB Tue Feb 17 19:12:51 2015 read 753847 cycles Tue Feb 17 19:12:51 2015 matrix is 753669 x 753847 (225.7 MB) with weight 67930308 (90.11/col) Tue Feb 17 19:12:51 2015 sparse part has weight 50864461 (67.47/col) Tue Feb 17 19:12:55 2015 filtering completed in 2 passes Tue Feb 17 19:12:56 2015 matrix is 752823 x 753001 (225.6 MB) with weight 67897954 (90.17/col) Tue Feb 17 19:12:56 2015 sparse part has weight 50852150 (67.53/col) Tue Feb 17 19:12:58 2015 matrix starts at (0, 0) Tue Feb 17 19:12:58 2015 matrix is 752823 x 753001 (225.6 MB) with weight 67897954 (90.17/col) Tue Feb 17 19:12:58 2015 sparse part has weight 50852150 (67.53/col) Tue Feb 17 19:12:58 2015 saving the first 48 matrix rows for later Tue Feb 17 19:12:58 2015 matrix includes 64 packed rows Tue Feb 17 19:12:58 2015 matrix is 752775 x 753001 (213.5 MB) with weight 53324259 (70.82/col) Tue Feb 17 19:12:58 2015 sparse part has weight 48425874 (64.31/col) Tue Feb 17 19:12:58 2015 using block size 65536 for processor cache size 8192 kB Tue Feb 17 19:13:00 2015 commencing Lanczos iteration (8 threads) Tue Feb 17 19:13:00 2015 memory use: 208.2 MB Tue Feb 17 19:13:04 2015 linear algebra at 0.4%, ETA 0h16m Tue Feb 17 19:30:50 2015 lanczos halted after 11904 iterations (dim = 752773) Tue Feb 17 19:30:51 2015 recovered 35 nontrivial dependencies Tue Feb 17 19:30:51 2015 BLanczosTime: 1118 Tue Feb 17 19:30:51 2015 Tue Feb 17 19:30:51 2015 commencing square root phase Tue Feb 17 19:30:51 2015 reading relations for dependency 1 Tue Feb 17 19:30:51 2015 read 377579 cycles Tue Feb 17 19:30:51 2015 cycles contain 1237680 unique relations Tue Feb 17 19:31:02 2015 read 1237680 relations Tue Feb 17 19:31:06 2015 multiplying 1237680 relations Tue Feb 17 19:31:47 2015 multiply complete, coefficients have about 34.70 million bits Tue Feb 17 19:31:47 2015 initial square root is modulo 95971 Tue Feb 17 19:32:40 2015 sqrtTime: 109 -- n: 1094382689992652001938620765129840689148413926801432077920047527476822538029798477244657067367071588261963947907383956349764707721651579819583196535497084251833091 m: 1000000000000000000000000000000000 deg: 5 c5: 70 c0: -367 skew: 1.39 # Murphy_E = 2.676e-10 type: snfs lss: 1 rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:05:37 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 37 秒 (日本時間)
2350Ignacio SantosFebruary 8, 2015 10:19:18 UTC 2015 年 2 月 8 日 (日) 19 時 19 分 18 秒 (日本時間)

## 7×10169-3679

### c146

name 名前 Jo Yeong Uk April 5, 2015 12:48:54 UTC 2015 年 4 月 5 日 (日) 21 時 48 分 54 秒 (日本時間) `52076736006561887258255143682066223245971980934493086904811833053456823800932380717956753052391055722187076222671164006740058355939823551556247487<146>` ```2625669852459750933362478348074302860683548837773439<52> 19833695374068425453361268947015036473825115644031397960752005878361733954700469615203377316033<95>``` ```Number: 77737_169 N=52076736006561887258255143682066223245971980934493086904811833053456823800932380717956753052391055722187076222671164006740058355939823551556247487 ( 146 digits) SNFS difficulty: 170 digits. Divisors found: r1=2625669852459750933362478348074302860683548837773439 r2=19833695374068425453361268947015036473825115644031397960752005878361733954700469615203377316033 Version: Total time: 21.96 hours. Scaled time: 115.33 units (timescale=5.252). Factorization parameters were as follows: n: 52076736006561887258255143682066223245971980934493086904811833053456823800932380717956753052391055722187076222671164006740058355939823551556247487 m: 10000000000000000000000000000000000 deg: 5 c5: 7 c0: -3670 skew: 3.50 # Murphy_E = 2.061e-10 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2900000, 5700001) Primes: rational ideals reading, algebraic ideals reading, Relations: 11178735 Max relations in full relation-set: Initial matrix: Pruned matrix : 954623 x 954871 Total sieving time: 20.20 hours. Total relation processing time: 0.78 hours. Matrix solve time: 0.92 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000 total time: 21.96 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:05:38 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 38 秒 (日本時間)
1CypJanuary 9, 2015 00:47:20 UTC 2015 年 1 月 9 日 (金) 9 時 47 分 20 秒 (日本時間)
2350Ignacio SantosFebruary 13, 2015 23:50:02 UTC 2015 年 2 月 14 日 (土) 8 時 50 分 2 秒 (日本時間)

## 7×10170-3679

### c135

name 名前 Jo Yeong Uk April 10, 2015 10:47:18 UTC 2015 年 4 月 10 日 (金) 19 時 47 分 18 秒 (日本時間) `988054332484418719703061446272238448526163286407867668444232357295896013418064614116383343486142321363176119794806413469876776752300099<135>` ```4115973390976028362342300512416476875718204164823497833<55> 240053624897249292790074700146426909982741286912685880941346143287698220933280203<81>``` ```Number: 77737_170 N=988054332484418719703061446272238448526163286407867668444232357295896013418064614116383343486142321363176119794806413469876776752300099 ( 135 digits) SNFS difficulty: 170 digits. Divisors found: r1=4115973390976028362342300512416476875718204164823497833 r2=240053624897249292790074700146426909982741286912685880941346143287698220933280203 Version: Total time: 19.19 hours. Scaled time: 100.64 units (timescale=5.245). Factorization parameters were as follows: n: 988054332484418719703061446272238448526163286407867668444232357295896013418064614116383343486142321363176119794806413469876776752300099 m: 10000000000000000000000000000000000 deg: 5 c5: 7 c0: -367 skew: 2.21 # Murphy_E = 2.445e-10 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2900000, 5300001) Primes: rational ideals reading, algebraic ideals reading, Relations: 10841178 Max relations in full relation-set: Initial matrix: Pruned matrix : 963080 x 963328 Total sieving time: 17.46 hours. Total relation processing time: 0.65 hours. Matrix solve time: 0.93 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,170,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000 total time: 19.19 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120) Total of 12 processors activated (81602.88 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:05:38 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 38 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2015 20:35:08 UTC 2015 年 2 月 11 日 (水) 5 時 35 分 8 秒 (日本時間)
4511e60 / 3405--
5043e6138 / 7453Pierre JammesMarch 14, 2015 08:01:59 UTC 2015 年 3 月 14 日 (土) 17 時 1 分 59 秒 (日本時間)

## 7×10172-3679

### c142

name 名前 Cyp April 28, 2015 15:45:34 UTC 2015 年 4 月 29 日 (水) 0 時 45 分 34 秒 (日本時間) `3124700309269946755446244411030936998666043641705704643205716220991835661715383192676130307593130057462945303155703809610422020203244059879471<142>` ```23889936092943474831250561182925504338603157035946091514871<59> 130795674677125223694882222042862167647528222239609969888005758667343365968220702601<84>``` ```04/28/15 08:09:15 v1.34.3, 04/28/15 08:09:15 v1.34.3, **************************** 04/28/15 08:09:15 v1.34.3, Starting factorization of 3124700309269946755446244411030936998666043641705704643205716220991835661715383192676130307593130057462945303155703809610422020203244059879471 04/28/15 08:09:15 v1.34.3, using pretesting plan: none 04/28/15 08:09:15 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 04/28/15 08:09:15 v1.34.3, **************************** 04/28/15 08:09:15 v1.34.3, nfs: commencing nfs on c142: 3124700309269946755446244411030936998666043641705704643205716220991835661715383192676130307593130057462945303155703809610422020203244059879471 04/28/15 08:09:15 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq 04/28/15 08:09:15 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/28/15 08:18:42 v1.34.3, nfs: commencing lattice sieving with 8 threads [95 lines snipped] 04/28/15 16:05:04 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/28/15 16:09:30 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/28/15 16:14:01 v1.34.3, nfs: commencing msieve filtering 04/28/15 16:15:43 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/28/15 16:20:08 v1.34.3, nfs: commencing lattice sieving with 8 threads [2 lines snipped] 04/28/15 16:33:35 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/28/15 16:37:54 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/28/15 16:42:14 v1.34.3, nfs: commencing msieve filtering 04/28/15 16:44:00 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/28/15 16:48:23 v1.34.3, nfs: commencing lattice sieving with 8 threads [2 lines snipped] 04/28/15 17:01:34 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/28/15 17:06:02 v1.34.3, nfs: commencing lattice sieving with 8 threads 04/28/15 17:10:30 v1.34.3, nfs: commencing msieve filtering 04/28/15 17:12:50 v1.34.3, nfs: commencing msieve linear algebra 04/28/15 17:43:41 v1.34.3, nfs: commencing msieve sqrt 04/28/15 17:45:32 v1.34.3, prp59 = 23889936092943474831250561182925504338603157035946091514871 04/28/15 17:45:32 v1.34.3, prp84 = 130795674677125223694882222042862167647528222239609969888005758667343365968220702601 04/28/15 17:45:33 v1.34.3, NFS elapsed time = 34577.9133 seconds. 04/28/15 17:45:33 v1.34.3, 04/28/15 17:45:33 v1.34.3, 04/28/15 17:45:33 v1.34.3, Total factoring time = 34577.9158 seconds -- Tue Apr 28 16:14:01 2015 Tue Apr 28 16:14:01 2015 commencing relation filtering Tue Apr 28 16:14:01 2015 estimated available RAM is 15987.3 MB Tue Apr 28 16:14:01 2015 commencing duplicate removal, pass 1 Tue Apr 28 16:14:33 2015 found 1462501 hash collisions in 10116243 relations Tue Apr 28 16:14:42 2015 added 371858 free relations Tue Apr 28 16:14:42 2015 commencing duplicate removal, pass 2 Tue Apr 28 16:14:51 2015 found 1057477 duplicates and 9430624 unique relations Tue Apr 28 16:14:51 2015 memory use: 41.3 MB Tue Apr 28 16:14:51 2015 reading ideals above 100000 Tue Apr 28 16:14:51 2015 commencing singleton removal, initial pass Tue Apr 28 16:15:37 2015 memory use: 344.5 MB Tue Apr 28 16:15:37 2015 reading all ideals from disk Tue Apr 28 16:15:37 2015 memory use: 347.3 MB Tue Apr 28 16:15:37 2015 keeping 10937134 ideals with weight <= 200, target excess is 48961 Tue Apr 28 16:15:38 2015 commencing in-memory singleton removal Tue Apr 28 16:15:38 2015 begin with 9430624 relations and 10937134 unique ideals Tue Apr 28 16:15:43 2015 reduce to 3193223 relations and 3360264 ideals in 23 passes Tue Apr 28 16:15:43 2015 max relations containing the same ideal: 97 Tue Apr 28 16:42:14 2015 Tue Apr 28 16:42:14 2015 commencing relation filtering Tue Apr 28 16:42:14 2015 estimated available RAM is 15987.3 MB Tue Apr 28 16:42:14 2015 commencing duplicate removal, pass 1 Tue Apr 28 16:42:49 2015 found 1639516 hash collisions in 11044007 relations Tue Apr 28 16:42:58 2015 added 1238 free relations Tue Apr 28 16:42:58 2015 commencing duplicate removal, pass 2 Tue Apr 28 16:43:07 2015 found 1160070 duplicates and 9885175 unique relations Tue Apr 28 16:43:07 2015 memory use: 41.3 MB Tue Apr 28 16:43:07 2015 reading ideals above 100000 Tue Apr 28 16:43:07 2015 commencing singleton removal, initial pass Tue Apr 28 16:43:54 2015 memory use: 344.5 MB Tue Apr 28 16:43:54 2015 reading all ideals from disk Tue Apr 28 16:43:54 2015 memory use: 364.2 MB Tue Apr 28 16:43:55 2015 keeping 11115461 ideals with weight <= 200, target excess is 51579 Tue Apr 28 16:43:55 2015 commencing in-memory singleton removal Tue Apr 28 16:43:56 2015 begin with 9885175 relations and 11115461 unique ideals Tue Apr 28 16:44:00 2015 reduce to 3867206 relations and 3868158 ideals in 21 passes Tue Apr 28 16:44:00 2015 max relations containing the same ideal: 107 Tue Apr 28 17:10:30 2015 Tue Apr 28 17:10:30 2015 commencing relation filtering Tue Apr 28 17:10:30 2015 estimated available RAM is 15987.3 MB Tue Apr 28 17:10:30 2015 commencing duplicate removal, pass 1 Tue Apr 28 17:11:06 2015 found 1779554 hash collisions in 11596672 relations Tue Apr 28 17:11:15 2015 added 1048 free relations Tue Apr 28 17:11:15 2015 commencing duplicate removal, pass 2 Tue Apr 28 17:11:24 2015 found 1265062 duplicates and 10332658 unique relations Tue Apr 28 17:11:24 2015 memory use: 45.3 MB Tue Apr 28 17:11:24 2015 reading ideals above 720000 Tue Apr 28 17:11:25 2015 commencing singleton removal, initial pass Tue Apr 28 17:12:08 2015 memory use: 344.5 MB Tue Apr 28 17:12:08 2015 reading all ideals from disk Tue Apr 28 17:12:08 2015 memory use: 307.1 MB Tue Apr 28 17:12:09 2015 commencing in-memory singleton removal Tue Apr 28 17:12:09 2015 begin with 10332658 relations and 11219805 unique ideals Tue Apr 28 17:12:13 2015 reduce to 4500953 relations and 4255124 ideals in 17 passes Tue Apr 28 17:12:13 2015 max relations containing the same ideal: 72 Tue Apr 28 17:12:14 2015 removing 501859 relations and 446280 ideals in 55579 cliques Tue Apr 28 17:12:14 2015 commencing in-memory singleton removal Tue Apr 28 17:12:15 2015 begin with 3999094 relations and 4255124 unique ideals Tue Apr 28 17:12:17 2015 reduce to 3949203 relations and 3758093 ideals in 9 passes Tue Apr 28 17:12:17 2015 max relations containing the same ideal: 66 Tue Apr 28 17:12:19 2015 removing 374243 relations and 318664 ideals in 55579 cliques Tue Apr 28 17:12:19 2015 commencing in-memory singleton removal Tue Apr 28 17:12:19 2015 begin with 3574960 relations and 3758093 unique ideals Tue Apr 28 17:12:21 2015 reduce to 3543839 relations and 3407855 ideals in 9 passes Tue Apr 28 17:12:21 2015 max relations containing the same ideal: 62 Tue Apr 28 17:12:22 2015 relations with 0 large ideals: 2900 Tue Apr 28 17:12:22 2015 relations with 1 large ideals: 2018 Tue Apr 28 17:12:22 2015 relations with 2 large ideals: 28553 Tue Apr 28 17:12:22 2015 relations with 3 large ideals: 171166 Tue Apr 28 17:12:22 2015 relations with 4 large ideals: 533955 Tue Apr 28 17:12:22 2015 relations with 5 large ideals: 953552 Tue Apr 28 17:12:22 2015 relations with 6 large ideals: 1018660 Tue Apr 28 17:12:22 2015 relations with 7+ large ideals: 833035 Tue Apr 28 17:12:22 2015 commencing 2-way merge Tue Apr 28 17:12:23 2015 reduce to 2106404 relation sets and 1970421 unique ideals Tue Apr 28 17:12:23 2015 ignored 1 oversize relation sets Tue Apr 28 17:12:23 2015 commencing full merge Tue Apr 28 17:12:42 2015 memory use: 234.3 MB Tue Apr 28 17:12:42 2015 found 1052327 cycles, need 1034621 Tue Apr 28 17:12:43 2015 weight of 1034621 cycles is about 72479278 (70.05/cycle) Tue Apr 28 17:12:43 2015 distribution of cycle lengths: Tue Apr 28 17:12:43 2015 1 relations: 135937 Tue Apr 28 17:12:43 2015 2 relations: 119642 Tue Apr 28 17:12:43 2015 3 relations: 115984 Tue Apr 28 17:12:43 2015 4 relations: 103285 Tue Apr 28 17:12:43 2015 5 relations: 93753 Tue Apr 28 17:12:43 2015 6 relations: 80068 Tue Apr 28 17:12:43 2015 7 relations: 68935 Tue Apr 28 17:12:43 2015 8 relations: 59412 Tue Apr 28 17:12:43 2015 9 relations: 50666 Tue Apr 28 17:12:43 2015 10+ relations: 206939 Tue Apr 28 17:12:43 2015 heaviest cycle: 22 relations Tue Apr 28 17:12:43 2015 commencing cycle optimization Tue Apr 28 17:12:44 2015 start with 6173217 relations Tue Apr 28 17:12:49 2015 pruned 147860 relations Tue Apr 28 17:12:49 2015 memory use: 203.6 MB Tue Apr 28 17:12:49 2015 distribution of cycle lengths: Tue Apr 28 17:12:49 2015 1 relations: 135937 Tue Apr 28 17:12:49 2015 2 relations: 122320 Tue Apr 28 17:12:49 2015 3 relations: 119874 Tue Apr 28 17:12:49 2015 4 relations: 105648 Tue Apr 28 17:12:49 2015 5 relations: 95796 Tue Apr 28 17:12:49 2015 6 relations: 81167 Tue Apr 28 17:12:49 2015 7 relations: 69607 Tue Apr 28 17:12:49 2015 8 relations: 59461 Tue Apr 28 17:12:49 2015 9 relations: 50183 Tue Apr 28 17:12:49 2015 10+ relations: 194628 Tue Apr 28 17:12:49 2015 heaviest cycle: 22 relations Tue Apr 28 17:12:50 2015 RelProcTime: 140 Tue Apr 28 17:12:50 2015 Tue Apr 28 17:12:50 2015 commencing linear algebra Tue Apr 28 17:12:50 2015 read 1034621 cycles Tue Apr 28 17:12:51 2015 cycles contain 3408274 unique relations Tue Apr 28 17:13:06 2015 read 3408274 relations Tue Apr 28 17:13:09 2015 using 20 quadratic characters above 134217354 Tue Apr 28 17:13:19 2015 building initial matrix Tue Apr 28 17:13:38 2015 memory use: 414.6 MB Tue Apr 28 17:13:39 2015 read 1034621 cycles Tue Apr 28 17:13:39 2015 matrix is 1034439 x 1034621 (309.5 MB) with weight 92752023 (89.65/col) Tue Apr 28 17:13:39 2015 sparse part has weight 69765456 (67.43/col) Tue Apr 28 17:13:45 2015 filtering completed in 2 passes Tue Apr 28 17:13:45 2015 matrix is 1032446 x 1032627 (309.4 MB) with weight 92677124 (89.75/col) Tue Apr 28 17:13:45 2015 sparse part has weight 69736796 (67.53/col) Tue Apr 28 17:13:48 2015 matrix starts at (0, 0) Tue Apr 28 17:13:48 2015 matrix is 1032446 x 1032627 (309.4 MB) with weight 92677124 (89.75/col) Tue Apr 28 17:13:48 2015 sparse part has weight 69736796 (67.53/col) Tue Apr 28 17:13:48 2015 saving the first 48 matrix rows for later Tue Apr 28 17:13:48 2015 matrix includes 64 packed rows Tue Apr 28 17:13:48 2015 matrix is 1032398 x 1032627 (294.7 MB) with weight 73734272 (71.40/col) Tue Apr 28 17:13:48 2015 sparse part has weight 66927031 (64.81/col) Tue Apr 28 17:13:48 2015 using block size 65536 for processor cache size 8192 kB Tue Apr 28 17:13:50 2015 commencing Lanczos iteration (8 threads) Tue Apr 28 17:13:50 2015 memory use: 288.2 MB Tue Apr 28 17:13:53 2015 linear algebra at 0.1%, ETA 0h33m Tue Apr 28 17:13:54 2015 checkpointing every 1830000 dimensions Tue Apr 28 17:43:40 2015 lanczos halted after 16327 iterations (dim = 1032398) Tue Apr 28 17:43:41 2015 recovered 41 nontrivial dependencies Tue Apr 28 17:43:41 2015 BLanczosTime: 1851 Tue Apr 28 17:43:41 2015 Tue Apr 28 17:43:41 2015 commencing square root phase Tue Apr 28 17:43:41 2015 reading relations for dependency 1 Tue Apr 28 17:43:41 2015 read 516408 cycles Tue Apr 28 17:43:41 2015 cycles contain 1703508 unique relations Tue Apr 28 17:43:54 2015 read 1703508 relations Tue Apr 28 17:43:58 2015 multiplying 1703508 relations Tue Apr 28 17:44:40 2015 multiply complete, coefficients have about 53.30 million bits Tue Apr 28 17:44:40 2015 initial square root is modulo 44841911 Tue Apr 28 17:45:32 2015 sqrtTime: 111 -- n: 3124700309269946755446244411030936998666043641705704643205716220991835661715383192676130307593130057462945303155703809610422020203244059879471 m: 10000000000000000000000000000000000 deg: 5 c5: 700 c0: -367 skew: 0.88 # Murphy_E = 1.503e-10 type: snfs lss: 1 rlim: 5300000 alim: 5300000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:39 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 39 秒 (日本時間)
4511e6585 / 4409CypJanuary 31, 2015 13:50:41 UTC 2015 年 1 月 31 日 (土) 22 時 50 分 41 秒 (日本時間)

## 7×10173-3679

### c149

name 名前 Jo Yeong Uk May 5, 2015 08:22:51 UTC 2015 年 5 月 5 日 (火) 17 時 22 分 51 秒 (日本時間) `10863395084678757314897332007582752554084906946197472023652009678818555401922941693222177963293998219716896916723442732676278225376680786398171334929<149>` ```1127378050818331830449068913021572340964436847<46> 9635982425587695430464602558772876694198286969221234391605440262767691624819301099935629561086297691007<103>``` ```Number: 77737_173 N=10863395084678757314897332007582752554084906946197472023652009678818555401922941693222177963293998219716896916723442732676278225376680786398171334929 ( 149 digits) SNFS difficulty: 174 digits. Divisors found: r1=1127378050818331830449068913021572340964436847 r2=9635982425587695430464602558772876694198286969221234391605440262767691624819301099935629561086297691007 Version: Total time: 26.57 hours. Scaled time: 139.07 units (timescale=5.234). Factorization parameters were as follows: n: 10863395084678757314897332007582752554084906946197472023652009678818555401922941693222177963293998219716896916723442732676278225376680786398171334929 m: 20000000000000000000000000000000000 deg: 5 c5: 875 c0: -1468 skew: 1.11 # Murphy_E = 1.568e-10 type: snfs lss: 1 rlim: 7200000 alim: 7200000 lpbr: 28 lpba: 28 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 7200000/7200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 52/52 Sieved rational special-q in [3600000, 6700001) Primes: rational ideals reading, algebraic ideals reading, Relations: 15802826 Max relations in full relation-set: Initial matrix: Pruned matrix : 1143402 x 1143649 Total sieving time: 23.85 hours. Total relation processing time: 1.24 hours. Matrix solve time: 1.40 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,52,52,2.4,2.4,100000 total time: 26.57 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.18 BogoMIPS (lpj=3400094) Total of 12 processors activated (81602.25 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:05:39 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 39 秒 (日本時間)
2350Ignacio SantosMarch 4, 2015 20:18:26 UTC 2015 年 3 月 5 日 (木) 5 時 18 分 26 秒 (日本時間)

## 7×10176-3679

### c155

name 名前 Jo Yeong Uk January 16, 2016 12:01:37 UTC 2016 年 1 月 16 日 (土) 21 時 1 分 37 秒 (日本時間) `34933631150663074015742079048273135973750732425694424950060630671562198613116742180671318309567400773673043642027800662819966233180597404069225777614270783<155>` ```26799763459972281786792014177988712771015626673<47> 1303505204545533136243561132737157629696569908163628118606180950760342268051357955970695509043715002178649071<109>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 34933631150663074015742079048273135973750732425694424950060630671562198613116742180671318309567400773673043642027800662819966233180597404069225777614270783 (155 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4770309734 Step 1 took 32393ms Step 2 took 9947ms ********** Factor found in step 2: 26799763459972281786792014177988712771015626673 Found probable prime factor of 47 digits: 26799763459972281786792014177988712771015626673 Probable prime cofactor 1303505204545533136243561132737157629696569908163628118606180950760342268051357955970695509043715002178649071 has 109 digits``` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:40 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 40 秒 (日本時間)
4511e6585 / 4409CypJanuary 27, 2015 23:40:14 UTC 2015 年 1 月 28 日 (水) 8 時 40 分 14 秒 (日本時間)

## 7×10177-3679

### c171

name 名前 Serge Batalov January 9, 2015 03:52:08 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 8 秒 (日本時間) `334899851309250302282997933524388914221670498638608183009946860483736043228107321623607875141297835480065301643578431703227444219918015559542777499571687011593419524115923<171>` `218670251708578120212357192683766853<36>` `1531529088627800128205673121809909509195597423304979240793653941112513118771813868667241230907270703487942710472162414188125411005499191<136>` ```Input number is 334899851309250302282997933524388914221670498638608183009946860483736043228107321623607875141297835480065301643578431703227444219918015559542777499571687011593419524115923 (171 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2817998849 Step 1 took 11754ms Step 2 took 10157ms ********** Factor found in step 2: 218670251708578120212357192683766853 Found probable prime factor of 36 digits: 218670251708578120212357192683766853 Composite cofactor 1531529088627800128205673121809909509195597423304979240793653941112513118771813868667241230907270703487942710472162414188125411005499191 has 136 digits```

### c136

name 名前 Jo Yeong Uk July 23, 2015 12:58:05 UTC 2015 年 7 月 23 日 (木) 21 時 58 分 5 秒 (日本時間) `1531529088627800128205673121809909509195597423304979240793653941112513118771813868667241230907270703487942710472162414188125411005499191<136>` ```91215185125889973695428070803235763122777<41> 16790286469452113770614450507879495492878467760444739480895304618239208194800130112776804103183<95>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 1531529088627800128205673121809909509195597423304979240793653941112513118771813868667241230907270703487942710472162414188125411005499191 (136 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=207525113 Step 1 took 27046ms Step 2 took 8700ms ********** Factor found in step 2: 91215185125889973695428070803235763122777 Found probable prime factor of 41 digits: 91215185125889973695428070803235763122777 Probable prime cofactor 16790286469452113770614450507879495492878467760444739480895304618239208194800130112776804103183 has 95 digits``` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:05:40 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 40 秒 (日本時間)
1CypJanuary 9, 2015 01:02:59 UTC 2015 年 1 月 9 日 (金) 10 時 2 分 59 秒 (日本時間)
4511e6600 / 4409Pierre JammesMarch 15, 2015 08:52:13 UTC 2015 年 3 月 15 日 (日) 17 時 52 分 13 秒 (日本時間)

## 7×10180-3679

### c160

name 名前 Jo Yeong Uk January 4, 2016 09:09:00 UTC 2016 年 1 月 4 日 (月) 18 時 9 分 0 秒 (日本時間) `4096307337737613376564976623889354857584353244622323839100421902743751105604015582137021164369724954435440020036877037080609731925492300994246997810836092096737<160>` ```253101972676952451220975446151218928515347697386797623634613666805856715543<75> 16184414899705064481411293559285954403884948704281714382733498975632175819340307637959<86>``` ```Number: 77737_180 N=4096307337737613376564976623889354857584353244622323839100421902743751105604015582137021164369724954435440020036877037080609731925492300994246997810836092096737 ( 160 digits) SNFS difficulty: 180 digits. Divisors found: r1=253101972676952451220975446151218928515347697386797623634613666805856715543 r2=16184414899705064481411293559285954403884948704281714382733498975632175819340307637959 Version: Total time: 47.44 hours. Scaled time: 249.47 units (timescale=5.259). Factorization parameters were as follows: n: 4096307337737613376564976623889354857584353244622323839100421902743751105604015582137021164369724954435440020036877037080609731925492300994246997810836092096737 m: 1000000000000000000000000000000000000 deg: 5 c5: 7 c0: -367 skew: 2.21 # Murphy_E = 9.725e-11 type: snfs lss: 1 rlim: 5800000 alim: 5800000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 5800000/5800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [2900000, 5100001) Primes: rational ideals reading, algebraic ideals reading, Relations: 18028175 Max relations in full relation-set: Initial matrix: Pruned matrix : 1229626 x 1229874 Total sieving time: 44.50 hours. Total relation processing time: 1.03 hours. Matrix solve time: 1.60 hours. Time per square root: 0.31 hours. Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000 total time: 47.44 hours. --------- CPU info (if available) ----------``` `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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:41 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 41 秒 (日本時間)
4511e6585 / 4409CypMay 12, 2015 17:14:11 UTC 2015 年 5 月 13 日 (水) 2 時 14 分 11 秒 (日本時間)

## 7×10184-3679

### c171

name 名前 Serge Batalov January 9, 2015 03:52:12 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 12 秒 (日本時間) `126161753403763998864273804891082527959368237289243474962353750657862197683963782005781662280325079606462363319457184388397777310330736477846200513456787427318955465429481<171>` ```345118390403045614653734830343<30> 365560795692244401323223547634711676198270603383672186539330843906538518416528046210327518223064579626548984081096039555184479876626666375567<141>``` ```Input number is 126161753403763998864273804891082527959368237289243474962353750657862197683963782005781662280325079606462363319457184388397777310330736477846200513456787427318955465429481 (171 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=182462322 Step 1 took 11672ms Step 2 took 10121ms ********** Factor found in step 2: 345118390403045614653734830343 Found probable prime factor of 30 digits: 345118390403045614653734830343 Probable prime cofactor 365560795692244401323223547634711676198270603383672186539330843906538518416528046210327518223064579626548984081096039555184479876626666375567 has 141 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:05:42 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 42 秒 (日本時間)
1CypJanuary 9, 2015 00:41:33 UTC 2015 年 1 月 9 日 (金) 9 時 41 分 33 秒 (日本時間)

## 7×10186-3679

### c184

name 名前 Ben Meekins August 25, 2015 17:58:15 UTC 2015 年 8 月 26 日 (水) 2 時 58 分 15 秒 (日本時間) `3026372676178123648940769563337656722870730652831820146995244271508862948551664504971897968006917423259835711197578901859057501080847384349329874621703415477734543882403804582792909641<184>` ```138304275192548422317990508889878541137338062583528115692137<60> 21881989345338610273013919288819615382320892826464038595070192875688693774647069271739207912327902235767736660892059670285793<125>``` ```Number: 77737_186 N = 3026372676178123648940769563337656722870730652831820146995244271508862948551664504971897968006917423259835711197578901859057501080847384349329874621703415477734543882403804582792909641 (184 digits) SNFS difficulty: 187 digits. Divisors found: r1=138304275192548422317990508889878541137338062583528115692137 (pp60) r2=21881989345338610273013919288819615382320892826464038595070192875688693774647069271739207912327902235767736660892059670285793 (pp125) Version: Msieve v. 1.53 (SVN unknown) Total time: 32.57 hours. Factorization parameters were as follows: n: 3026372676178123648940769563337656722870730652831820146995244271508862948551664504971897968006917423259835711197578901859057501080847384349329874621703415477734543882403804582792909641 m: 10000000000000000000000000000000000000 deg: 5 c5: 70 c0: -367 skew: 1.39 # Murphy_E = 4.227e-11 type: snfs lss: 1 rlim: 9100000 alim: 9100000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 Factor base limits: 9100000/9100000 Large primes per side: 3 Large prime bits: 28/28 Sieved rational special-q in [0, 0) Total raw relations: 22347027 Relations: 3414000 relations Pruned matrix : 2066529 x 2066756 Polynomial selection time: 0.00 hours. Total sieving time: 28.96 hours. Total relation processing time: 0.16 hours. Matrix solve time: 3.31 hours. time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,200000 total time: 32.57 hours. x86_64 Linux-3.13.0-62-generic-x86_64-with-Ubuntu-14.04-trusty processors: 4, speed: 2.50GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:05:42 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 42 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:48 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 48 秒 (日本時間)
4511e613 / 3944KTakahashiJuly 25, 2015 08:44:53 UTC 2015 年 7 月 25 日 (土) 17 時 44 分 53 秒 (日本時間)

## 7×10187-3679

### c125

name 名前 Erik Branger February 2, 2015 06:58:37 UTC 2015 年 2 月 2 日 (月) 15 時 58 分 37 秒 (日本時間) `38734622203386288448248640634862462737523999406977522426327663204163564934823561629134760160666065882370330560093648571395453<125>` ```196849808751862296426540219312637298173269919387142063<54> 196772465510560674034115945973904920343929581138748867047537445227920531<72>``` ```Number: 77737_187 N = 38734622203386288448248640634862462737523999406977522426327663204163564934823561629134760160666065882370330560093648571395453 (125 digits) Divisors found: r1=196849808751862296426540219312637298173269919387142063 (pp54) r2=196772465510560674034115945973904920343929581138748867047537445227920531 (pp72) Version: Msieve v. 1.51 (SVN Official Release) Total time: 25.82 hours. Factorization parameters were as follows: # Murphy_E = 1.58e-10, selected by Erik Branger # expecting poly E from 1.77e-010 to > 2.04e-010 n: 38734622203386288448248640634862462737523999406977522426327663204163564934823561629134760160666065882370330560093648571395453 Y0: -986779329563493539455427 Y1: 3914013074587 c0: 1716987883250389276140336896460 c1: 92089526662147086623223604 c2: 1368048829441917350857 c3: -1817247569851862 c4: -29671249620 c5: 41400 skew: 210430.77 type: gnfs # selected mechanically rlim: 7000000 alim: 7000000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 Factor base limits: 7000000/7000000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 10368945 Relations: 1679146 relations Pruned matrix : 976759 x 976986 Polynomial selection time: 0.00 hours. Total sieving time: 25.14 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.58 hours. time per square root: 0.04 hours. Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,7000000,7000000,27,27,52,52,2.5,2.5,100000 total time: 25.82 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:43 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 43 秒 (日本時間)
4511e6600 / 4409Pierre JammesJanuary 21, 2015 19:23:17 UTC 2015 年 1 月 22 日 (木) 4 時 23 分 17 秒 (日本時間)

## 7×10189-3679

### c180

name 名前 Eric Jeancolas July 25, 2020 08:22:14 UTC 2020 年 7 月 25 日 (土) 17 時 22 分 14 秒 (日本時間) `457654358463081003256335438587905494664999478650288613938375026883344359655364099300176052904181677854661964375093820001586853723944429870539467978729127389997331635148518014964261<180>` ```359346180993952163910890303408804518512138500774626469876857361439768607397529186635567<87> 1273575128020585188514277923204299255137107974980734192316064459869329771470303443664741416683<94>``` ```457654358463081003256335438587905494664999478650288613938375026883344359655364099300176052904181677854661964375093820001586853723944429870539467978729127389997331635148518014964261=359346180993952163910890303408804518512138500774626469876857361439768607397529186635567*1273575128020585188514277923204299255137107974980734192316064459869329771470303443664741416683 n: 457654358463081003256335438587905494664999478650288613938375026883344359655364099300176052904181677854661964375093820001586853723944429870539467978729127389997331635148518014964261 skew: 1.75 type: snfs c0: -1835 c5: 112 Y0: 50000000000000000000000000000000000000 Y1: -1 # f(x) = 112*x^5-1835 # g(x) = -x+50000000000000000000000000000000000000 Info:Square Root: Factors: 359346180993952163910890303408804518512138500774626469876857361439768607397529186635567 1273575128020585188514277923204299255137107974980734192316064459869329771470303443664741416683 Info:Square Root: Total cpu/real time for sqrt: 1581/797.71 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: 8.39/5.73471 Info:Generate Free Relations: Total cpu/real time for freerel: 171.72/93.8148 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 25719329 Info:Lattice Sieving: Average J: 1893.79 for 2288712 special-q, max bucket fill -bkmult 1.0,1s:1.110390 Info:Lattice Sieving: Total time: 504123s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 84.73/191.743 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 190.70000000000002s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 671.9/631.728 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 537.7s Info:Filtering - Singleton removal: Total cpu/real time for purge: 543.39/636.892 Info:Filtering - Merging: Total cpu/real time for merge: 1442.07/1346.23 Info:Filtering - Merging: Total cpu/real time for replay: 116.24/96.7956 Info:Linear Algebra: Total cpu/real time for bwc: 142441/75999.6 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 20931.54, iteration CPU time 1.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64768 iterations) Info:Linear Algebra: Lingen CPU time 582.23, WCT time 585.44 Info:Linear Algebra: Mksol: WCT time 54448.94, iteration CPU time 1.66, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32512 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 144.67/144.299 Info:Square Root: Total cpu/real time for sqrt: 1581/797.71 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.08378e+06/76950.8 359346180993952163910890303408804518512138500774626469876857361439768607397529186635567 1273575128020585188514277923204299255137107974980734192316064459869329771470303443664741416683``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:05:43 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 43 秒 (日本時間)
1CypJanuary 9, 2015 00:42:52 UTC 2015 年 1 月 9 日 (金) 9 時 42 分 52 秒 (日本時間)
4511e64585585CypMay 19, 2015 06:28:11 UTC 2015 年 5 月 19 日 (火) 15 時 28 分 11 秒 (日本時間)
4000Robert BalfourMarch 27, 2020 01:21:28 UTC 2020 年 3 月 27 日 (金) 10 時 21 分 28 秒 (日本時間)

## 7×10191-3679

### c166

name 名前 funecm December 19, 2018 07:23:39 UTC 2018 年 12 月 19 日 (水) 16 時 23 分 39 秒 (日本時間) `7162202194578685158311913028525959628100480724628254997370354042106667476614136269100420638948590734982198835922095646359471161016498341191533462942115428105992000877<166>` ```888177825703826442942722390486288140717441187<45> 8063928176661108684611588693794274549317328112730423270382962736142622296693508412167817021940591597569126064100403421871<121>``` ```B1=43000000 B2=4300000000 elliptic curves: 4000 Stage1: d = 4587067887574169042798599496774946951939212870217863970165533555958541385349593169153585826230500630284443716554965383508700677057463451459822176832482574640182623372 Stage1 time: 658.843842 seconds Stage2 time: 270.267084 seconds Stage2 gcd: 7974042205277569187 total time: 929.111 seconds Y=80992886610709201682361137934232859010196951072253638061752031013421276920665206472437221419692829996188147129569977793135017866807158542845495778161896629297241468 -------------------------------------------------- @ probable prime factor found: 888177825703826442942722390486288140717441187 digits: 45 cofactor: 8063928176661108684611588693794274549317328112730423270382962736142622296693508412167817021940591597569126064100403421871 total time: 196959.343 seconds``` `g\W_ECM×í°éà’(D_` ```Intel Xeon E5-2640 RHEL Server release6.3```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:44 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 44 秒 (日本時間)
4511e6585 / 4409CypJanuary 30, 2015 19:03:20 UTC 2015 年 1 月 31 日 (土) 4 時 3 分 20 秒 (日本時間)

## 7×10192-3679

### c180

name 名前 Serge Batalov January 9, 2015 03:52:16 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 16 秒 (日本時間) `132586925506835212087682649514851478106573629333609046324039115657321070861204320489982483760470267492096746440764899525867392593326235042079871821623063011071139340803321386367133<180>` ```15685475619925994173218854863394951<35> 8452846998047278340574007985260493266365643903971796220523567677493319250522255746980745447943841528267210219567944655692619083286337235395396283<145>``` ```Input number is 132586925506835212087682649514851478106573629333609046324039115657321070861204320489982483760470267492096746440764899525867392593326235042079871821623063011071139340803321386367133 (180 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2708456972 Step 1 took 14988ms ********** Factor found in step 1: 15685475619925994173218854863394951 Found probable prime factor of 35 digits: 15685475619925994173218854863394951 Probable prime cofactor 8452846998047278340574007985260493266365643903971796220523567677493319250522255746980745447943841528267210219567944655692619083286337235395396283 has 145 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:05:45 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 45 秒 (日本時間)
1CypJanuary 9, 2015 00:43:47 UTC 2015 年 1 月 9 日 (金) 9 時 43 分 47 秒 (日本時間)

## 7×10195-3679

### c174

name 名前 Serge Batalov January 9, 2015 03:52:20 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 20 秒 (日本時間) `132853622527641889681865225815562200548284458440528890489537332148470430018554810167095300819603021004952937528465500463463812103565454541706211202789249947011741324853793619<174>` ```3098579535886947102989403491241011<34> 42875653501536939899752988964947640158494254264294865536737902360284980600514115105386587590050476859143353563358732789656989039028618591329<140>``` ```Input number is 132853622527641889681865225815562200548284458440528890489537332148470430018554810167095300819603021004952937528465500463463812103565454541706211202789249947011741324853793619 (174 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2984903419 Step 1 took 12069ms Step 2 took 9749ms ********** Factor found in step 2: 3098579535886947102989403491241011 Found probable prime factor of 34 digits: 3098579535886947102989403491241011 Probable prime cofactor 42875653501536939899752988964947640158494254264294865536737902360284980600514115105386587590050476859143353563358732789656989039028618591329 has 140 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:05:45 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 45 秒 (日本時間)

## 7×10196-3679

### c195

name 名前 Bob Backstrom February 24, 2021 12:58:27 UTC 2021 年 2 月 24 日 (水) 21 時 58 分 27 秒 (日本時間) `864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864193<195>` ```62557654814693940718962505634396774389228379587<47> 1422883824028773297645257300957806213748285703558811129886680717<64> 9708745561718798573608786503952816835889165968600556157432076011404993885904064831767<85>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864193 (195 digits) Using B1=83460000, B2=582203750320, polynomial Dickson(30), sigma=1:2710759906 Step 1 took 169500ms Step 2 took 68521ms ********** Factor found in step 2: 62557654814693940718962505634396774389228379587 Found prime factor of 47 digits: 62557654814693940718962505634396774389228379587 Composite cofactor 13814417011380824752911621399426349264475395558217966125202104711830854869324711465204834108919585884192737691563336857778574137663944733188647936939 has 149 digits Number: n N=13814417011380824752911621399426349264475395558217966125202104711830854869324711465204834108919585884192737691563336857778574137663944733188647936939 ( 149 digits) SNFS difficulty: 196 digits. Divisors found: Wed Feb 24 23:38:49 2021 prp64 factor: 1422883824028773297645257300957806213748285703558811129886680717 Wed Feb 24 23:38:49 2021 prp85 factor: 9708745561718798573608786503952816835889165968600556157432076011404993885904064831767 Wed Feb 24 23:38:49 2021 elapsed time 00:14:04 (Msieve 1.44 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=3.829). Factorization parameters were as follows: # # N = 7x10^196-367 = 7(194)37 # # n: 864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864193 # Found prime factor of 47 digits: 62557654814693940718962505634396774389228379587 # Composite cofactor 13814417011380824752911621399426349264475395558217966125202104711830854869324711465204834108919585884192737691563336857778574137663944733188647936939 has 149 digits # n: 13814417011380824752911621399426349264475395558217966125202104711830854869324711465204834108919585884192737691563336857778574137663944733188647936939 m: 1000000000000000000000000000000000000000 deg: 5 c5: 70 c0: -367 skew: 1.39 # Murphy_E = 1.636e-11 type: snfs lss: 1 rlim: 13400000 alim: 13400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 13400000/13400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 107500000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4333702 hash collisions in 39999986 relations (37255890 unique) Msieve: matrix is 2044300 x 2044525 (575.0 MB) Total sieving time: 0.00 hours. Total relation processing time: 11hrs 2min 5sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 14min 3sec. Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.038399] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03) [ 0.000000] efi: mem02: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x0000000000009000-0x0000000000058000) (0MB) [ 0.000000] efi: mem04: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x0000000000059000-0x000000000005f000) (0MB) [ 0.000000] efi: mem08: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x0000000000100000-0x0000000001000000) (15MB) [ 0.000000] efi: mem10: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000022d8000-0x000000003eefc000) (972MB) [ 0.000000] efi: mem12: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x0000000040000000-0x0000000090ff2000) (1295MB) [ 0.000000] efi: mem14: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000c3ddf000-0x00000000c6d42000) (47MB) [ 0.000000] efi: mem17: [ACPI Memory NVS | | | | | |WB|WT|WC|UC] range=[0x00000000c7052000-0x00000000c7059000) (0MB) [ 0.000000] efi: mem26: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000c7ccf000-0x00000000c7cd9000) (0MB) [ 0.000000] efi: mem28: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000c7cde000-0x00000000cae24000) (49MB) [ 0.000000] efi: mem30: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cae8c000-0x00000000caea6000) (0MB) [ 0.000000] efi: mem32: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000caf1e000-0x00000000caf33000) (0MB) [ 0.000000] efi: mem34: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cafb9000-0x00000000cafe0000) (0MB) [ 0.000000] efi: mem36: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cb04e000-0x00000000cb071000) (0MB) [ 0.000000] efi: mem38: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cb12a000-0x00000000cb173000) (0MB) [ 0.000000] efi: mem40: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cb211000-0x00000000cb354000) (1MB) [ 0.000000] efi: mem42: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cb355000-0x00000000cb3d4000) (0MB) [ 0.000000] efi: mem44: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cb425000-0x00000000cb435000) (0MB) [ 0.000000] efi: mem46: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cb436000-0x00000000cb4c2000) (0MB) [ 0.000000] efi: mem48: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cb4c3000-0x00000000cb514000) (0MB) [ 0.000000] efi: mem50: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cb515000-0x00000000cb5a7000) (0MB) [ 0.000000] efi: mem52: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cb5a8000-0x00000000cb87a000) (2MB) [ 0.000000] efi: mem54: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cb87c000-0x00000000cb8fb000) (0MB) [ 0.000000] efi: mem56: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cb94c000-0x00000000cbb3c000) (1MB) [ 0.000000] efi: mem58: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cbbc5000-0x00000000cbc1d000) (0MB) [ 0.000000] efi: mem60: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cbd2d000-0x00000000cbd61000) (0MB) [ 0.000000] efi: mem62: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cbe0b000-0x00000000cbe25000) (0MB) [ 0.000000] efi: mem64: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cbe9c000-0x00000000cbeb1000) (0MB) [ 0.000000] efi: mem66: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cbf37000-0x00000000cbf5e000) (0MB) [ 0.000000] efi: mem68: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cbfcc000-0x00000000cbfef000) (0MB) [ 0.000000] efi: mem70: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cc28c000-0x00000000cc2cd000) (0MB) [ 0.000000] efi: mem72: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cc337000-0x00000000cc351000) (0MB) [ 0.000000] efi: mem74: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cc3c9000-0x00000000cc3de000) (0MB) [ 0.000000] efi: mem76: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cc464000-0x00000000cc48b000) (0MB) [ 0.000000] efi: mem78: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cc4f8000-0x00000000cc51b000) (0MB) [ 0.000000] efi: mem80: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cc5d3000-0x00000000cc5d9000) (0MB) [ 0.000000] efi: mem82: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cc6bf000-0x00000000cc6db000) (0MB) [ 0.000000] efi: mem84: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cc7b5000-0x00000000cc7d4000) (0MB) [ 0.000000] efi: mem86: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cc863000-0x00000000cc86c000) (0MB) [ 0.000000] efi: mem88: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cc8f4000-0x00000000cc8f8000) (0MB) [ 0.000000] efi: mem90: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cca23000-0x00000000cca2c000) (0MB) [ 0.000000] efi: mem92: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cccd6000-0x00000000ccce3000) (0MB) [ 0.000000] efi: mem94: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000ccd8e000-0x00000000ccd93000) (0MB) [ 0.000000] efi: mem96: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cce1e000-0x00000000cce22000) (0MB) [ 0.000000] efi: mem98: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cd150000-0x00000000cd152000) (0MB) [ 0.000000] efi: mem100: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cd244000-0x00000000cd248000) (0MB) [ 0.000000] efi: mem102: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cd2f2000-0x00000000cd2f7000) (0MB) [ 0.000000] efi: mem104: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cd67d000-0x00000000cd688000) (0MB) [ 0.000000] efi: mem106: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cd730000-0x00000000cd736000) (0MB) [ 0.000000] efi: mem108: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cd898000-0x00000000cd8a0000) (0MB) [ 0.000000] efi: mem110: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000cde64000-0x00000000cde6d000) (0MB) [ 0.000000] efi: mem112: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000ce0ea000-0x00000000ce0ec000) (0MB) [ 0.000000] efi: mem114: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000ce0f1000-0x00000000ce0f4000) (0MB) [ 0.000000] efi: mem116: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000ce0f9000-0x00000000ce0fc000) (0MB) [ 0.000000] efi: mem118: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000ce101000-0x00000000ce104000) (0MB) [ 0.000000] efi: mem120: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000ce107000-0x00000000ce108000) (0MB) [ 0.000000] efi: mem122: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000ce13c000-0x00000000ce140000) (0MB) [ 0.000000] efi: mem124: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000d7e4c000-0x00000000d7e51000) (0MB) [ 0.000000] efi: mem126: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000d95d0000-0x00000000da0b6000) (10MB) [ 0.000000] efi: mem130: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x00000000da443000-0x00000000da4a8000) (0MB) [ 0.000000] efi: mem131: [ACPI Memory NVS | | | | | |WB|WT|WC|UC] range=[0x00000000da4a8000-0x00000000da5d0000) (1MB) [ 0.000000] efi: mem132: [ACPI Memory NVS | | | | | |WB|WT|WC|UC] range=[0x00000000da5d0000-0x00000000da5d4000) (0MB) [ 0.000000] efi: mem133: [ACPI Memory NVS | | | | | |WB|WT|WC|UC] range=[0x00000000da5d4000-0x00000000da5eb000) (0MB) [ 0.000000] efi: mem143: [Conventional Memory| | | | | |WB|WT|WC|UC] range=[0x0000000100000000-0x000000041ee00000) (12782MB) [ 0.000000] efi: mem145: [Memory Mapped I/O |RUN| | | | | | | |UC] range=[0x00000000f8000000-0x00000000fc000000) (64MB) [ 0.000000] efi: mem146: [Memory Mapped I/O |RUN| | | | | | | |UC] range=[0x00000000fec00000-0x00000000fec01000) (0MB) [ 0.000000] efi: mem147: [Memory Mapped I/O |RUN| | | | | | | |UC] range=[0x00000000fed00000-0x00000000fed04000) (0MB) [ 0.000000] efi: mem148: [Memory Mapped I/O |RUN| | | | | | | |UC] range=[0x00000000fed1c000-0x00000000fed20000) (0MB) [ 0.000000] efi: mem149: [Memory Mapped I/O |RUN| | | | | | | |UC] range=[0x00000000fee00000-0x00000000fee01000) (0MB) [ 0.000000] efi: mem150: [Memory Mapped I/O |RUN| | | | | | | |UC] range=[0x00000000ff000000-0x0000000100000000) (16MB) [ 0.000000] Memory: 16059420K/16661464K available (7585K kernel code, 1183K rwdata, 3284K rodata, 1504K init, 1524K bss, 602044K reserved, 0K cma-reserved) [ 1.097595] [drm] Memory usable by graphics device = 2048M [ 0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.27 BogoMIPS (lpj=3600137) [ 0.136488] smpboot: Total of 8 processors activated (57602.19 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:05:46 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 46 秒 (日本時間)
1CypJanuary 9, 2015 00:37:38 UTC 2015 年 1 月 9 日 (金) 9 時 37 分 38 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:54 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 54 秒 (日本時間)

## 7×10198-3679

### c194

name 名前 Bob Backstrom March 16, 2021 15:16:17 UTC 2021 年 3 月 17 日 (水) 0 時 16 分 17 秒 (日本時間) `47272702715479108842021380768113886694084834241644549795039067512172720949235870526820505547789325823726844817223471572222559884384475644428236660656280178555751399609662540435043929847309170229<194>` ```2748203686682488342637411672789545433559634643369145532844028983<64> 47852315362619699262587760525706918815491421973168306873785030347<65> 359466612287475081598604637873225498192126040193752880034915774329<66>``` ```Number: n N=47272702715479108842021380768113886694084834241644549795039067512172720949235870526820505547789325823726844817223471572222559884384475644428236660656280178555751399609662540435043929847309170229 ( 194 digits) SNFS difficulty: 198 digits. Divisors found: Wed Mar 17 02:08:09 2021 found factor: 359466612287475081598604637873225498192126040193752880034915774329 Wed Mar 17 02:10:45 2021 p64 factor: 2748203686682488342637411672789545433559634643369145532844028983 Wed Mar 17 02:10:45 2021 p65 factor: 47852315362619699262587760525706918815491421973168306873785030347 Wed Mar 17 02:10:45 2021 p66 factor: 359466612287475081598604637873225498192126040193752880034915774329 Wed Mar 17 02:10:45 2021 elapsed time 01:18:58 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.333). Factorization parameters were as follows: # # N = 7x10^198-367 = 7(196)37 # n: 47272702715479108842021380768113886694084834241644549795039067512172720949235870526820505547789325823726844817223471572222559884384475644428236660656280178555751399609662540435043929847309170229 m: 1000000000000000000000000000000000000000 deg: 5 c5: 7000 c0: -367 skew: 0.55 # Murphy_E = 1.504e-11 type: snfs lss: 1 rlim: 14400000 alim: 14400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14400000/14400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 27200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4026337 hash collisions in 29589612 relations (27110316 unique) Msieve: matrix is 1770699 x 1770924 (622.8 MB) Sieving start time : 2021/03/16 17:56:42 Sieving end time : 2021/03/17 00:51:14 Total sieving time: 6hrs 54min 32secs. Total relation processing time: 1hrs 2min 25sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 7min 49sec. Prototype def-par.txt line would be: snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved) [ 0.152613] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352) [ 0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62681281CypJanuary 8, 2015 21:19:00 UTC 2015 年 1 月 9 日 (金) 6 時 19 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2015 00:05:47 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 47 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:56 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 56 秒 (日本時間)

## 7×10202-3679

### c188

name 名前 Bob Backstrom May 29, 2021 04:04:55 UTC 2021 年 5 月 29 日 (土) 13 時 4 分 55 秒 (日本時間) `25356628488239872668097320586151252095005911722626864794387439170036049165800325639944826765517142332234601851648082428057057497410885085297076302133050259794471021700311575206449167233883<188>` ```1129530156304431673811160542151638278530129023727226991916660555128653<70> 22448828255458934650336756506556233755777039886678487967743011966210901636654785640207772794844960720804008340533827911<119>``` ```Number: n N=25356628488239872668097320586151252095005911722626864794387439170036049165800325639944826765517142332234601851648082428057057497410885085297076302133050259794471021700311575206449167233883 ( 188 digits) SNFS difficulty: 202 digits. Divisors found: Sat May 29 13:58:43 2021 p70 factor: 1129530156304431673811160542151638278530129023727226991916660555128653 Sat May 29 13:58:43 2021 p119 factor: 22448828255458934650336756506556233755777039886678487967743011966210901636654785640207772794844960720804008340533827911 Sat May 29 13:58:43 2021 elapsed time 01:51:44 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.352). Factorization parameters were as follows: # # N = 7x10^202-367 = 7(200)37 # n: 25356628488239872668097320586151252095005911722626864794387439170036049165800325639944826765517142332234601851648082428057057497410885085297076302133050259794471021700311575206449167233883 m: 10000000000000000000000000000000000000000 deg: 5 c5: 700 c0: -367 skew: 0.88 # Murphy_E = 8.93e-12 type: snfs lss: 1 rlim: 16800000 alim: 16800000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 16800000/16800000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 35600000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8681358 hash collisions in 58755836 relations (52203614 unique) Msieve: matrix is 2199163 x 2199389 (770.6 MB) Sieving start time : 2021/05/28 23:32:37 Sieving end time : 2021/05/29 12:05:53 Total sieving time: 12hrs 33min 16secs. Total relation processing time: 1hrs 33min 21sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 6sec. Prototype def-par.txt line would be: snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.117662] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved) [ 0.152608] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.07 BogoMIPS (lpj=12798140) [ 0.150211] smpboot: Total of 16 processors activated (102385.12 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:05:47 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 47 秒 (日本時間)
1CypJanuary 9, 2015 01:02:20 UTC 2015 年 1 月 9 日 (金) 10 時 2 分 20 秒 (日本時間)
4511e6585 / 4409CypFebruary 2, 2015 23:51:20 UTC 2015 年 2 月 3 日 (火) 8 時 51 分 20 秒 (日本時間)

## 7×10205-3679

### c173

name 名前 Bob Backstrom July 29, 2021 18:27:43 UTC 2021 年 7 月 30 日 (金) 3 時 27 分 43 秒 (日本時間) `87181823131300012848848647040444152437091416209117851128416267668445127347010925716685181596710929406654005554575935579963414951770799356031971575304296388132767456428253457<173>` ```130626562812281140043411312677620836079472111<45> 667412670549909197909922154572505060796751812031491874110743015539969490827485867961086328769144291139704614658391612634240581887<129>``` ```# # N = 7x10^205-367 = 7(203)37 # n: 87181823131300012848848647040444152437091416209117851128416267668445127347010925716685181596710929406654005554575935579963414951770799356031971575304296388132767456428253457 m: 100000000000000000000000000000000000000000 deg: 5 c5: 7 c0: -367 skew: 2.21 # Murphy_E = 8.994e-12 type: snfs lss: 1 rlim: 18900000 alim: 18900000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 87181823131300012848848647040444152437091416209117851128416267668445127347010925716685181596710929406654005554575935579963414951770799356031971575304296388132767456428253457 (173 digits) Using B1=47240000, B2=240494804566, polynomial Dickson(12), sigma=1:968688633 Step 1 took 109985ms Step 2 took 34803ms ********** Factor found in step 2: 130626562812281140043411312677620836079472111 Found prime factor of 45 digits: 130626562812281140043411312677620836079472111 Prime cofactor 667412670549909197909922154572505060796751812031491874110743015539969490827485867961086328769144291139704614658391612634240581887 has 129 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:05:47 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 47 秒 (日本時間)
1CypJanuary 9, 2015 01:21:37 UTC 2015 年 1 月 9 日 (金) 10 時 21 分 37 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 06:53:03 UTC 2017 年 1 月 16 日 (月) 15 時 53 分 3 秒 (日本時間)

## 7×10211-3679

### c107

name 名前 Cyp January 9, 2015 17:38:53 UTC 2015 年 1 月 10 日 (土) 2 時 38 分 53 秒 (日本時間) `37379457709318929244503940436803403770161745930935707608496046430690500585971188031217512749101884961069349<107>` ```923868407079322798935774735391<30> 40459720694951257224689054458392767544297550655720123653957114026225946350139<77>``` ```01/09/15 17:16:23 v1.34.3, 01/09/15 17:16:23 v1.34.3, **************************** 01/09/15 17:16:23 v1.34.3, Starting factorization of 37379457709318929244503940436803403770161745930935707608496046430690500585971188031217512749101884961069349 01/09/15 17:16:23 v1.34.3, using pretesting plan: none 01/09/15 17:16:23 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits 01/09/15 17:16:23 v1.34.3, **************************** 01/09/15 17:16:23 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107 01/09/15 17:16:23 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107 01/09/15 17:16:23 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107 01/09/15 17:16:23 v1.34.3, final ECM pretested depth: 0.00 01/09/15 17:16:23 v1.34.3, scheduler: switching to sieve method 01/09/15 17:16:23 v1.34.3, nfs: commencing nfs on c107: 37379457709318929244503940436803403770161745930935707608496046430690500585971188031217512749101884961069349 01/09/15 17:16:23 v1.34.3, nfs: commencing poly selection with 8 threads 01/09/15 17:16:23 v1.34.3, nfs: setting deadline of 317 seconds 01/09/15 17:21:58 v1.34.3, nfs: completed 61 ranges of size 250 in 334.3389 seconds 01/09/15 17:21:58 v1.34.3, nfs: best poly = # norm 1.394468e-14 alpha -5.042026 e 4.599e-09 rroots 4 01/09/15 17:21:58 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 17:23:26 v1.34.3, nfs: commencing lattice sieving with 8 threads [29 lines snipped] 01/09/15 18:11:26 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 18:13:12 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 18:15:03 v1.34.3, nfs: commencing msieve filtering 01/09/15 18:15:43 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 18:17:26 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 18:19:12 v1.34.3, nfs: commencing msieve filtering 01/09/15 18:19:58 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 18:21:41 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 18:23:22 v1.34.3, nfs: commencing msieve filtering 01/09/15 18:24:09 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 18:25:50 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 18:27:36 v1.34.3, nfs: commencing msieve filtering 01/09/15 18:28:25 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 18:30:08 v1.34.3, nfs: commencing lattice sieving with 8 threads 01/09/15 18:31:53 v1.34.3, nfs: commencing msieve filtering 01/09/15 18:33:00 v1.34.3, nfs: commencing msieve linear algebra 01/09/15 18:38:12 v1.34.3, nfs: commencing msieve sqrt 01/09/15 18:38:52 v1.34.3, prp77 = 40459720694951257224689054458392767544297550655720123653957114026225946350139 01/09/15 18:38:52 v1.34.3, prp30 = 923868407079322798935774735391 01/09/15 18:38:52 v1.34.3, NFS elapsed time = 4948.8559 seconds. 01/09/15 18:38:52 v1.34.3, 01/09/15 18:38:52 v1.34.3, 01/09/15 18:38:52 v1.34.3, Total factoring time = 4948.8779 seconds -- Fri Jan 9 18:15:03 2015 Fri Jan 9 18:15:03 2015 commencing relation filtering Fri Jan 9 18:15:03 2015 estimated available RAM is 15987.3 MB Fri Jan 9 18:15:03 2015 commencing duplicate removal, pass 1 Fri Jan 9 18:15:16 2015 found 545497 hash collisions in 4597966 relations Fri Jan 9 18:15:20 2015 added 158991 free relations Fri Jan 9 18:15:20 2015 commencing duplicate removal, pass 2 Fri Jan 9 18:15:23 2015 found 342171 duplicates and 4414786 unique relations Fri Jan 9 18:15:23 2015 memory use: 20.6 MB Fri Jan 9 18:15:23 2015 reading ideals above 100000 Fri Jan 9 18:15:23 2015 commencing singleton removal, initial pass Fri Jan 9 18:15:41 2015 memory use: 172.2 MB Fri Jan 9 18:15:41 2015 reading all ideals from disk Fri Jan 9 18:15:42 2015 memory use: 144.2 MB Fri Jan 9 18:15:42 2015 keeping 5531777 ideals with weight <= 200, target excess is 21247 Fri Jan 9 18:15:42 2015 commencing in-memory singleton removal Fri Jan 9 18:15:42 2015 begin with 4414786 relations and 5531777 unique ideals Fri Jan 9 18:15:43 2015 reduce to 422 relations and 0 ideals in 23 passes Fri Jan 9 18:15:43 2015 max relations containing the same ideal: 0 Fri Jan 9 18:19:12 2015 Fri Jan 9 18:19:12 2015 commencing relation filtering Fri Jan 9 18:19:12 2015 estimated available RAM is 15987.3 MB Fri Jan 9 18:19:12 2015 commencing duplicate removal, pass 1 Fri Jan 9 18:19:27 2015 found 623769 hash collisions in 5056884 relations Fri Jan 9 18:19:30 2015 added 908 free relations Fri Jan 9 18:19:30 2015 commencing duplicate removal, pass 2 Fri Jan 9 18:19:34 2015 found 380794 duplicates and 4676998 unique relations Fri Jan 9 18:19:34 2015 memory use: 20.6 MB Fri Jan 9 18:19:34 2015 reading ideals above 100000 Fri Jan 9 18:19:34 2015 commencing singleton removal, initial pass Fri Jan 9 18:19:54 2015 memory use: 172.2 MB Fri Jan 9 18:19:55 2015 reading all ideals from disk Fri Jan 9 18:19:55 2015 memory use: 152.9 MB Fri Jan 9 18:19:55 2015 keeping 5659241 ideals with weight <= 200, target excess is 22403 Fri Jan 9 18:19:55 2015 commencing in-memory singleton removal Fri Jan 9 18:19:56 2015 begin with 4676998 relations and 5659241 unique ideals Fri Jan 9 18:19:58 2015 reduce to 927038 relations and 1077184 ideals in 47 passes Fri Jan 9 18:19:58 2015 max relations containing the same ideal: 66 Fri Jan 9 18:23:22 2015 Fri Jan 9 18:23:22 2015 commencing relation filtering Fri Jan 9 18:23:22 2015 estimated available RAM is 15987.3 MB Fri Jan 9 18:23:22 2015 commencing duplicate removal, pass 1 Fri Jan 9 18:23:38 2015 found 688298 hash collisions in 5358312 relations Fri Jan 9 18:23:42 2015 added 774 free relations Fri Jan 9 18:23:42 2015 commencing duplicate removal, pass 2 Fri Jan 9 18:23:46 2015 found 420589 duplicates and 4938497 unique relations Fri Jan 9 18:23:46 2015 memory use: 20.6 MB Fri Jan 9 18:23:46 2015 reading ideals above 100000 Fri Jan 9 18:23:46 2015 commencing singleton removal, initial pass Fri Jan 9 18:24:07 2015 memory use: 172.2 MB Fri Jan 9 18:24:07 2015 reading all ideals from disk Fri Jan 9 18:24:07 2015 memory use: 161.5 MB Fri Jan 9 18:24:07 2015 keeping 5777506 ideals with weight <= 200, target excess is 23655 Fri Jan 9 18:24:07 2015 commencing in-memory singleton removal Fri Jan 9 18:24:08 2015 begin with 4938497 relations and 5777506 unique ideals Fri Jan 9 18:24:09 2015 reduce to 1367466 relations and 1455753 ideals in 27 passes Fri Jan 9 18:24:09 2015 max relations containing the same ideal: 86 Fri Jan 9 18:27:36 2015 Fri Jan 9 18:27:36 2015 commencing relation filtering Fri Jan 9 18:27:36 2015 estimated available RAM is 15987.3 MB Fri Jan 9 18:27:36 2015 commencing duplicate removal, pass 1 Fri Jan 9 18:27:54 2015 found 752124 hash collisions in 5649872 relations Fri Jan 9 18:27:57 2015 added 625 free relations Fri Jan 9 18:27:57 2015 commencing duplicate removal, pass 2 Fri Jan 9 18:28:01 2015 found 459966 duplicates and 5190531 unique relations Fri Jan 9 18:28:01 2015 memory use: 20.6 MB Fri Jan 9 18:28:01 2015 reading ideals above 100000 Fri Jan 9 18:28:01 2015 commencing singleton removal, initial pass Fri Jan 9 18:28:22 2015 memory use: 172.2 MB Fri Jan 9 18:28:23 2015 reading all ideals from disk Fri Jan 9 18:28:23 2015 memory use: 169.8 MB Fri Jan 9 18:28:23 2015 keeping 5884291 ideals with weight <= 200, target excess is 24880 Fri Jan 9 18:28:24 2015 commencing in-memory singleton removal Fri Jan 9 18:28:24 2015 begin with 5190531 relations and 5884291 unique ideals Fri Jan 9 18:28:25 2015 reduce to 1744741 relations and 1756166 ideals in 21 passes Fri Jan 9 18:28:25 2015 max relations containing the same ideal: 96 Fri Jan 9 18:31:53 2015 Fri Jan 9 18:31:53 2015 commencing relation filtering Fri Jan 9 18:31:53 2015 estimated available RAM is 15987.3 MB Fri Jan 9 18:31:53 2015 commencing duplicate removal, pass 1 Fri Jan 9 18:32:11 2015 found 820378 hash collisions in 5952230 relations Fri Jan 9 18:32:14 2015 added 537 free relations Fri Jan 9 18:32:14 2015 commencing duplicate removal, pass 2 Fri Jan 9 18:32:18 2015 found 502315 duplicates and 5450452 unique relations Fri Jan 9 18:32:18 2015 memory use: 20.6 MB Fri Jan 9 18:32:18 2015 reading ideals above 100000 Fri Jan 9 18:32:18 2015 commencing singleton removal, initial pass Fri Jan 9 18:32:41 2015 memory use: 172.2 MB Fri Jan 9 18:32:41 2015 reading all ideals from disk Fri Jan 9 18:32:41 2015 memory use: 178.4 MB Fri Jan 9 18:32:42 2015 keeping 5987570 ideals with weight <= 200, target excess is 26228 Fri Jan 9 18:32:42 2015 commencing in-memory singleton removal Fri Jan 9 18:32:42 2015 begin with 5450452 relations and 5987570 unique ideals Fri Jan 9 18:32:45 2015 reduce to 2117731 relations and 2035041 ideals in 23 passes Fri Jan 9 18:32:45 2015 max relations containing the same ideal: 104 Fri Jan 9 18:32:46 2015 removing 268870 relations and 242737 ideals in 26133 cliques Fri Jan 9 18:32:46 2015 commencing in-memory singleton removal Fri Jan 9 18:32:46 2015 begin with 1848861 relations and 2035041 unique ideals Fri Jan 9 18:32:46 2015 reduce to 1818996 relations and 1761913 ideals in 10 passes Fri Jan 9 18:32:46 2015 max relations containing the same ideal: 95 Fri Jan 9 18:32:47 2015 removing 197433 relations and 171300 ideals in 26133 cliques Fri Jan 9 18:32:47 2015 commencing in-memory singleton removal Fri Jan 9 18:32:47 2015 begin with 1621563 relations and 1761913 unique ideals Fri Jan 9 18:32:47 2015 reduce to 1602003 relations and 1570761 ideals in 10 passes Fri Jan 9 18:32:47 2015 max relations containing the same ideal: 89 Fri Jan 9 18:32:48 2015 relations with 0 large ideals: 517 Fri Jan 9 18:32:48 2015 relations with 1 large ideals: 184 Fri Jan 9 18:32:48 2015 relations with 2 large ideals: 3282 Fri Jan 9 18:32:48 2015 relations with 3 large ideals: 28271 Fri Jan 9 18:32:48 2015 relations with 4 large ideals: 127756 Fri Jan 9 18:32:48 2015 relations with 5 large ideals: 343536 Fri Jan 9 18:32:48 2015 relations with 6 large ideals: 475402 Fri Jan 9 18:32:48 2015 relations with 7+ large ideals: 623055 Fri Jan 9 18:32:48 2015 commencing 2-way merge Fri Jan 9 18:32:48 2015 reduce to 915788 relation sets and 884546 unique ideals Fri Jan 9 18:32:48 2015 commencing full merge Fri Jan 9 18:32:57 2015 memory use: 103.7 MB Fri Jan 9 18:32:57 2015 found 441656 cycles, need 438746 Fri Jan 9 18:32:57 2015 weight of 438746 cycles is about 30763172 (70.12/cycle) Fri Jan 9 18:32:57 2015 distribution of cycle lengths: Fri Jan 9 18:32:57 2015 1 relations: 53211 Fri Jan 9 18:32:57 2015 2 relations: 48396 Fri Jan 9 18:32:57 2015 3 relations: 46111 Fri Jan 9 18:32:57 2015 4 relations: 41562 Fri Jan 9 18:32:57 2015 5 relations: 37370 Fri Jan 9 18:32:57 2015 6 relations: 32500 Fri Jan 9 18:32:57 2015 7 relations: 27886 Fri Jan 9 18:32:57 2015 8 relations: 24879 Fri Jan 9 18:32:57 2015 9 relations: 21475 Fri Jan 9 18:32:57 2015 10+ relations: 105356 Fri Jan 9 18:32:57 2015 heaviest cycle: 27 relations Fri Jan 9 18:32:57 2015 commencing cycle optimization Fri Jan 9 18:32:57 2015 start with 2882647 relations Fri Jan 9 18:33:00 2015 pruned 63566 relations Fri Jan 9 18:33:00 2015 memory use: 93.7 MB Fri Jan 9 18:33:00 2015 distribution of cycle lengths: Fri Jan 9 18:33:00 2015 1 relations: 53211 Fri Jan 9 18:33:00 2015 2 relations: 49357 Fri Jan 9 18:33:00 2015 3 relations: 47603 Fri Jan 9 18:33:00 2015 4 relations: 42383 Fri Jan 9 18:33:00 2015 5 relations: 38086 Fri Jan 9 18:33:00 2015 6 relations: 32881 Fri Jan 9 18:33:00 2015 7 relations: 28277 Fri Jan 9 18:33:00 2015 8 relations: 24828 Fri Jan 9 18:33:00 2015 9 relations: 21416 Fri Jan 9 18:33:00 2015 10+ relations: 100704 Fri Jan 9 18:33:00 2015 heaviest cycle: 27 relations Fri Jan 9 18:33:00 2015 RelProcTime: 67 Fri Jan 9 18:33:00 2015 Fri Jan 9 18:33:00 2015 commencing linear algebra Fri Jan 9 18:33:00 2015 read 438746 cycles Fri Jan 9 18:33:01 2015 cycles contain 1559123 unique relations Fri Jan 9 18:33:08 2015 read 1559123 relations Fri Jan 9 18:33:09 2015 using 20 quadratic characters above 67108440 Fri Jan 9 18:33:14 2015 building initial matrix Fri Jan 9 18:33:21 2015 memory use: 190.5 MB Fri Jan 9 18:33:21 2015 read 438746 cycles Fri Jan 9 18:33:21 2015 matrix is 438578 x 438746 (131.3 MB) with weight 41303307 (94.14/col) Fri Jan 9 18:33:21 2015 sparse part has weight 29597951 (67.46/col) Fri Jan 9 18:33:23 2015 filtering completed in 2 passes Fri Jan 9 18:33:23 2015 matrix is 438046 x 438221 (131.3 MB) with weight 41281849 (94.20/col) Fri Jan 9 18:33:23 2015 sparse part has weight 29591612 (67.53/col) Fri Jan 9 18:33:24 2015 matrix starts at (0, 0) Fri Jan 9 18:33:24 2015 matrix is 438046 x 438221 (131.3 MB) with weight 41281849 (94.20/col) Fri Jan 9 18:33:24 2015 sparse part has weight 29591612 (67.53/col) Fri Jan 9 18:33:24 2015 saving the first 48 matrix rows for later Fri Jan 9 18:33:24 2015 matrix includes 64 packed rows Fri Jan 9 18:33:24 2015 matrix is 437998 x 438221 (125.9 MB) with weight 32612254 (74.42/col) Fri Jan 9 18:33:24 2015 sparse part has weight 28630753 (65.33/col) Fri Jan 9 18:33:24 2015 using block size 65536 for processor cache size 8192 kB Fri Jan 9 18:33:25 2015 commencing Lanczos iteration (8 threads) Fri Jan 9 18:33:25 2015 memory use: 120.0 MB Fri Jan 9 18:33:33 2015 linear algebra at 2.8%, ETA 0h 4m Fri Jan 9 18:38:11 2015 lanczos halted after 6928 iterations (dim = 437992) Fri Jan 9 18:38:12 2015 recovered 29 nontrivial dependencies Fri Jan 9 18:38:12 2015 BLanczosTime: 312 Fri Jan 9 18:38:12 2015 Fri Jan 9 18:38:12 2015 commencing square root phase Fri Jan 9 18:38:12 2015 reading relations for dependency 1 Fri Jan 9 18:38:12 2015 read 219143 cycles Fri Jan 9 18:38:12 2015 cycles contain 778116 unique relations Fri Jan 9 18:38:17 2015 read 778116 relations Fri Jan 9 18:38:19 2015 multiplying 778116 relations Fri Jan 9 18:38:32 2015 multiply complete, coefficients have about 30.78 million bits Fri Jan 9 18:38:32 2015 initial square root is modulo 688855913 Fri Jan 9 18:38:52 2015 sqrtTime: 40 -- n: 37379457709318929244503940436803403770161745930935707608496046430690500585971188031217512749101884961069349 skew: 26618694.13 c0: 9629492144218280700862550128320 c1: 764077746580639500139624 c2: -74810924331001390 c3: -2660496509 c4: 60 Y0: -157987353418633716851651111 Y1: 61935624882227 rlim: 2780000 alim: 2780000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5``` `yafu v1.34.3` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

## 7×10213-3679

### c151

composite cofactor 合成数の残り `8273248223038420830521033034939214933339335841087124474272803073311883346144515185239237760717808796013882607448154731379707761909672493132434756202881<151>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:48 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 48 秒 (日本時間)
4511e6585 / 4409CypJanuary 26, 2015 17:58:31 UTC 2015 年 1 月 27 日 (火) 2 時 58 分 31 秒 (日本時間)

## 7×10214-3679

### c179

name 名前 Cyp May 17, 2015 11:24:18 UTC 2015 年 5 月 17 日 (日) 20 時 24 分 18 秒 (日本時間) `47995536105792228305630368032982016049246724826617323300577909752455982911839650977679617637977246168639529782979219972109706642851470464427326726076252781809883967253315328841921<179>` ```77488809038859309935226320322417205050533<41> 619386679200648049305052393297801378219030047977627131190631419230494193371551324609096785362301101653123892463336681186152177237721523437<138>``` ```Run 228 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3486639167 Step 1 took 59507ms Step 2 took 19072ms ********** Factor found in step 2: 77488809038859309935226320322417205050533 Found probable prime factor of 41 digits: 77488809038859309935226320322417205050533 Probable prime cofactor 619386679200648049305052393297801378219030047977627131190631419230494193371551324609096785362301101653123892463336681186152177237721523437 has 138 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 1532Serge BatalovJanuary 9, 2015 00:05:49 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 49 秒 (日本時間)
4511e6228 / 4409CypMay 17, 2015 11:24:17 UTC 2015 年 5 月 17 日 (日) 20 時 24 分 17 秒 (日本時間)

## 7×10215-3679

### c205

name 名前 Serge Batalov January 9, 2015 03:52:24 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 24 秒 (日本時間) `3439932017582392998125287366794635853338729534835992903182538596731108418810281730513962954347111026119374093404666719436078885196374309882394587584698180652036215249457034008456971544485829594778397066729<205>` `8035237196823225140555992480671498993199<40>` `428105845953419879967093036309706216299866966399667018290481127289186822462252346572882061802947523918801980617854808949655738914963846792624056983156681007464730471<165>` ```Input number is 3439932017582392998125287366794635853338729534835992903182538596731108418810281730513962954347111026119374093404666719436078885196374309882394587584698180652036215249457034008456971544485829594778397066729 (205 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=529765281 Step 1 took 16486ms Step 2 took 11151ms ********** Factor found in step 2: 8035237196823225140555992480671498993199 Found probable prime factor of 40 digits: 8035237196823225140555992480671498993199 Composite cofactor 428105845953419879967093036309706216299866966399667018290481127289186822462252346572882061802947523918801980617854808949655738914963846792624056983156681007464730471 has 165 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:05:49 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 49 秒 (日本時間)
1CypJanuary 9, 2015 00:58:24 UTC 2015 年 1 月 9 日 (金) 9 時 58 分 24 秒 (日本時間)
4511e6585 / 4409CypJune 22, 2015 04:19:34 UTC 2015 年 6 月 22 日 (月) 13 時 19 分 34 秒 (日本時間)

## 7×10216-3679

### c213

name 名前 Bob Backstrom October 27, 2017 08:50:51 UTC 2017 年 10 月 27 日 (金) 17 時 50 分 51 秒 (日本時間) `404881716698478801550118572502747411649025391867661518884840071721904100873387703163861414772398634970212273700040488171669847880155011857250274741164902539186766151888484007172190410087338770316386141477239863497<213>` ```210872183583348279617791646440724104210113193851485706776965948311031867853947<78> 1920033784533972394709776044980923505428757144486076867569774158903400623675825809470224653143262484240713208171888454202194956161152651<136>``` ```Number: n N=404881716698478801550118572502747411649025391867661518884840071721904100873387703163861414772398634970212273700040488171669847880155011857250274741164902539186766151888484007172190410087338770316386141477239863497 ( 213 digits) SNFS difficulty: 216 digits. Divisors found: Fri Oct 27 19:44:59 2017 p78 factor: 210872183583348279617791646440724104210113193851485706776965948311031867853947 Fri Oct 27 19:44:59 2017 p136 factor: 1920033784533972394709776044980923505428757144486076867569774158903400623675825809470224653143262484240713208171888454202194956161152651 Fri Oct 27 19:44:59 2017 elapsed time 04:55:59 (Msieve 1.53 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.124). Factorization parameters were as follows: # # 7x10^216-367 7(214)37 # n: 404881716698478801550118572502747411649025391867661518884840071721904100873387703163861414772398634970212273700040488171669847880155011857250274741164902539186766151888484007172190410087338770316386141477239863497 m: 1000000000000000000000000000000000000 deg: 6 c6: 7 c0: -367 skew: 1.93 # Murphy_E = 3.476e-12 type: snfs lss: 1 rlim: 29000000 alim: 29000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 Factor base limits: 29000000/29000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 51300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 12182265 hash collisions in 68715251 relations (59019605 unique) Msieve: matrix is 3555503 x 3555731 (1003.0 MB) Sieving start time: 2017/10/26 09:34:10 Sieving end time : 2017/10/27 14:47:00 Total sieving time: 29hrs 12min 50secs. Total relation processing time: 4hrs 31min 47sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 5min 12sec. Prototype def-par.txt line would be: snfs,216,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16297368K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406092K reserved, 0K cma-reserved) [ 0.100635] x86/mm: Memory block size: 128MB [ 0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.86 BogoMIPS (lpj=11977728) [ 0.098232] smpboot: Total of 16 processors activated (95821.82 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:05:50 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 50 秒 (日本時間)
1CypJanuary 9, 2015 01:05:52 UTC 2015 年 1 月 9 日 (金) 10 時 5 分 52 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:06 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 6 秒 (日本時間)

## 7×10217-3679

### c179

composite cofactor 合成数の残り `60771281849827419977765712390991833440702431765834549399058558997810966234986077027600152309594436621743689580059648658933239200302817177530922464079677983520897962609307675278653<179>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:50 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 50 秒 (日本時間)
4511e6585 / 4409CypMay 11, 2015 18:27:24 UTC 2015 年 5 月 12 日 (火) 3 時 27 分 24 秒 (日本時間)

## 7×10218-3679

### c197

name 名前 Serge Batalov January 9, 2015 03:52:28 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 28 秒 (日本時間) `32267277832403691678704522748490206349906863011666876982574452865172370756386086112138846130264357552113017514650997864731856634767349820662037537803198131300553088189071287348223225958916792486297<197>` `115786311743225223979251099121<30>` `278679555006135543871256130133035989954213922224674501738999115393856447215133105681233578115600826589901828382399716333113077805891963976657263813726992518576008828457<168>` ```Input number is 32267277832403691678704522748490206349906863011666876982574452865172370756386086112138846130264357552113017514650997864731856634767349820662037537803198131300553088189071287348223225958916792486297 (197 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=537974690 Step 1 took 18941ms Step 2 took 12701ms ********** Factor found in step 2: 115786311743225223979251099121 Found probable prime factor of 30 digits: 115786311743225223979251099121 Composite cofactor 278679555006135543871256130133035989954213922224674501738999115393856447215133105681233578115600826589901828382399716333113077805891963976657263813726992518576008828457 has 168 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:51 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 51 秒 (日本時間)
4511e6585 / 4409CypJune 17, 2015 07:41:23 UTC 2015 年 6 月 17 日 (水) 16 時 41 分 23 秒 (日本時間)

## 7×10219-3679

### c209

name 名前 Erik Branger December 7, 2019 12:52:06 UTC 2019 年 12 月 7 日 (土) 21 時 52 分 6 秒 (日本時間) `25218432300785909656359355840040441395142038545824204469297811548926973745246842592739726233437774308137309111944710447378556595506965769922887313647104185234101989565783476051721384227736514149088393890502291<209>` ```136463315294049033079366910220697147112629711508522859031334736425514732336651339643864052279<93> 184800085256947065030403981174696942866740551618543251559818700200130906279104670918034640487569338086453732611997829<117>``` ```Number: 77737_219 N = 25218432300785909656359355840040441395142038545824204469297811548926973745246842592739726233437774308137309111944710447378556595506965769922887313647104185234101989565783476051721384227736514149088393890502291 (209 digits) SNFS difficulty: 221 digits. Divisors found: r1=136463315294049033079366910220697147112629711508522859031334736425514732336651339643864052279 (pp93) r2=184800085256947065030403981174696942866740551618543251559818700200130906279104670918034640487569338086453732611997829 (pp117) Version: Msieve v. 1.52 (SVN unknown) Total time: 71.23 hours. Factorization parameters were as follows: n: 25218432300785909656359355840040441395142038545824204469297811548926973745246842592739726233437774308137309111944710447378556595506965769922887313647104185234101989565783476051721384227736514149088393890502291 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 7 c0: -3670 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 44739242 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/44739242 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 33687583 Relations: 9653070 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 34.05 hours. Total relation processing time: 0.35 hours. Pruned matrix : 8139382 x 8139607 Matrix solve time: 36.16 hours. time per square root: 0.67 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000 total time: 71.23 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.18362-SP0 processors: 12, speed: 3.19GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:51 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 51 秒 (日本時間)
4511e6585 / 4409CypMay 21, 2015 20:59:00 UTC 2015 年 5 月 22 日 (金) 5 時 59 分 0 秒 (日本時間)

## 7×10220-3679

### c184

name 名前 Erik Branger February 10, 2018 07:43:11 UTC 2018 年 2 月 10 日 (土) 16 時 43 分 11 秒 (日本時間) `4031286514286123658156607531678056206985700106453785398746730080732537594904069405969777428647861770365860909785615407774408065626506349416283556757281081469102621993253848718616661147<184>` ```163256747256708720021149743464252585343402553<45> 24692924378477507256582798866272806133106898412862935344521111712315853796898443958340637104459954861020225391191955031872551225960227222899<140>``` ```Number: 77737_220 N = 4031286514286123658156607531678056206985700106453785398746730080732537594904069405969777428647861770365860909785615407774408065626506349416283556757281081469102621993253848718616661147 (184 digits) SNFS difficulty: 221 digits. Divisors found: r1=163256747256708720021149743464252585343402553 (pp45) r2=24692924378477507256582798866272806133106898412862935344521111712315853796898443958340637104459954861020225391191955031872551225960227222899 (pp140) Version: Msieve v. 1.52 (SVN unknown) Total time: 65.03 hours. Factorization parameters were as follows: n: 4031286514286123658156607531678056206985700106453785398746730080732537594904069405969777428647861770365860909785615407774408065626506349416283556757281081469102621993253848718616661147 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 7 c0: -367 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 67108864 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 4 Number of threads per core: 1 Factor base limits: 536870912/67108864 Large primes per side: 3 Large prime bits: 29/29 Total raw relations: 30695613 Relations: 8843708 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 25.34 hours. Total relation processing time: 0.28 hours. Pruned matrix : 7504405 x 7504630 Matrix solve time: 39.26 hours. time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,29,58,58,2.8,2.8,100000 total time: 65.03 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-10-10.0.16299-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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:52 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 52 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 06:53:47 UTC 2017 年 1 月 16 日 (月) 15 時 53 分 47 秒 (日本時間)

## 7×10222-3679

### c201

name 名前 Cyp June 4, 2015 18:00:09 UTC 2015 年 6 月 5 日 (金) 3 時 0 分 9 秒 (日本時間) `256430081548574513349282547384151878309851389823796831798564665260002053148845335134801285591438873597365539379683108511746186470641128306322600925259040571799392545624182444756577270912242000145219803<201>` `136763056677312188361581494955719199<36>` `1874995249291719379858980766385413258090541255701240656111333921518366266260532700498014397125148868887270415985958986007460918808100870589767434110643446908225542597<166>` ```Run 101 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2097021839 Step 1 took 69276ms Step 2 took 21150ms ********** Factor found in step 2: 136763056677312188361581494955719199 Found probable prime factor of 36 digits: 136763056677312188361581494955719199 Composite cofactor 1874995249291719379858980766385413258090541255701240656111333921518366266260532700498014397125148868887270415985958986007460918808100870589767434110643446908225542597 has 166 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c166

name 名前 Erik Branger October 21, 2019 15:22:22 UTC 2019 年 10 月 22 日 (火) 0 時 22 分 22 秒 (日本時間) `1874995249291719379858980766385413258090541255701240656111333921518366266260532700498014397125148868887270415985958986007460918808100870589767434110643446908225542597<166>` ```4389278329141130809199117304133962782666222347702979534455055018589630320381<76> 427176202712715158214230690141713463404857650458553628850136513954685856848999798189458537<90>``` ```Number: 77737_222 N = 1874995249291719379858980766385413258090541255701240656111333921518366266260532700498014397125148868887270415985958986007460918808100870589767434110643446908225542597 (166 digits) SNFS difficulty: 223 digits. Divisors found: r1=4389278329141130809199117304133962782666222347702979534455055018589630320381 (pp76) r2=427176202712715158214230690141713463404857650458553628850136513954685856848999798189458537 (pp90) Version: Msieve v. 1.52 (SVN unknown) Total time: 150.24 hours. Factorization parameters were as follows: n: 1874995249291719379858980766385413258090541255701240656111333921518366266260532700498014397125148868887270415985958986007460918808100870589767434110643446908225542597 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 700 c0: -367 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 22369622 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Factor base limits: 536870912/22369622 Large primes per side: 3 Large prime bits: 29/28 Relations: 12576092 relations Pruned matrix : 10568775 x 10569000 Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G relations. Total batch smoothness checking time: 60.65 hours. Total relation processing time: 0.46 hours. Matrix solve time: 88.30 hours. time per square root: 0.83 hours. Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000 total time: 150.24 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
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:05:53 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 53 秒 (日本時間)
1CypJanuary 9, 2015 00:19:31 UTC 2015 年 1 月 9 日 (金) 9 時 19 分 31 秒 (日本時間)
4511e6585 / 4409CypJune 4, 2015 18:00:08 UTC 2015 年 6 月 5 日 (金) 3 時 0 分 8 秒 (日本時間)

## 7×10223-3679

### c201

composite cofactor 合成数の残り `166153640082904426689342035205992977888471936069353740221859078758927243292018999951602217561065972118111453430944796088685836560154844106404020527009336492748727982674168033365362069735308819216234309<201>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:53 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 53 秒 (日本時間)
4511e6585 / 4409CypFebruary 9, 2015 18:17:06 UTC 2015 年 2 月 10 日 (火) 3 時 17 分 6 秒 (日本時間)

## 7×10224-3679

### c200

name 名前 Serge Batalov January 9, 2015 03:52:32 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 32 秒 (日本時間) `94105131147590851482778351631358295652168212150059804508631996411966229489868879121975112019349739301935255246444360558682294944568704941508508232655081590101395990322565388214072410972328114933894121<200>` ```172300356716145588549969860640488093<36> 546169102264967219762591350507410333015750166448838629561620062635554892093707038444702452835044763824939698727264725592482417355741058304973203483119470728153988797<165>``` ```Input number is 94105131147590851482778351631358295652168212150059804508631996411966229489868879121975112019349739301935255246444360558682294944568704941508508232655081590101395990322565388214072410972328114933894121 (200 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4025152681 Step 1 took 16126ms Step 2 took 10792ms ********** Factor found in step 2: 172300356716145588549969860640488093 Found probable prime factor of 36 digits: 172300356716145588549969860640488093 Probable prime cofactor 546169102264967219762591350507410333015750166448838629561620062635554892093707038444702452835044763824939698727264725592482417355741058304973203483119470728153988797 has 165 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:05:54 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 54 秒 (日本時間)
1CypJanuary 9, 2015 00:43:20 UTC 2015 年 1 月 9 日 (金) 9 時 43 分 20 秒 (日本時間)

## 7×10225-3679

### c206

name 名前 Cyp January 8, 2015 19:43:14 UTC 2015 年 1 月 9 日 (金) 4 時 43 分 14 秒 (日本時間) `40317164003827123374668500456292506276542024061092371311142642866372893366473017461396682163784553567298544416352662102561771844189582221022044843619771160748232075697255686661073143885361140729977570837751<206>` ```8817951537887474405825366680134832759<37> 4572168925016109495386833535032506331261220626945030879132247691130661509375977085115052720731966050282632194121065584473862366257400823753341953746257108061311880085889<169>``` ```Run 274 out of 281: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=252859711 Step 1 took 18798ms Step 2 took 6355ms ********** Factor found in step 2: 8817951537887474405825366680134832759 Found probable prime factor of 37 digits: 8817951537887474405825366680134832759 Probable prime cofactor 4572168925016109495386833535032506331261220626945030879132247691130661509375977085115052720731966050282632194121065584473862366257400823753341953746257108061311880085889 has 169 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 135Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6274 / 2318CypJanuary 8, 2015 19:43:14 UTC 2015 年 1 月 9 日 (金) 4 時 43 分 14 秒 (日本時間)

## 7×10226-3679

### c195

composite cofactor 合成数の残り `456784192270299773427008396666991647729485949610382495096307714800915200503956914465879032181639431580537578540304805937081727183819194025876552837656610338829438794455729109310943173812764984981<195>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:54 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 54 秒 (日本時間)
4511e6585 / 4409CypJune 29, 2015 21:57:58 UTC 2015 年 6 月 30 日 (火) 6 時 57 分 58 秒 (日本時間)

## 7×10228-3679

### c199

composite cofactor 合成数の残り `2961036427913972981841623332107288229803241138020324558637728596817608320258176255808684421173784241128057311365113936383721275500898069201244075814984278320993364045415645785737611733371028178469133<199>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:05:55 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 55 秒 (日本時間)
1CypJanuary 9, 2015 00:37:16 UTC 2015 年 1 月 9 日 (金) 9 時 37 分 16 秒 (日本時間)
4511e6585 / 4409CypJune 6, 2015 22:30:31 UTC 2015 年 6 月 7 日 (日) 7 時 30 分 31 秒 (日本時間)

## 7×10229-3679

### c216

composite cofactor 合成数の残り `442710138261439991936932307726878562386512305910964761611462281946713364162825662245371471400789095593483657333337388244533350734882649346070758197789519784320273142546718372377631864474836116120907439990743195827027<216>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:05:56 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 56 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 18:38:04 UTC 2022 年 2 月 11 日 (金) 3 時 38 分 4 秒 (日本時間)

## 7×10231-3679

### c230

name 名前 Bob Backstrom January 8, 2019 18:15:59 UTC 2019 年 1 月 9 日 (水) 3 時 15 分 59 秒 (日本時間) `70707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707067<230>` ```6035742802459853413290495476736142308832195130696070521889980329<64> 11714725597362134006815911171066205820200205428258148443573024463611501506247612847896979972114246270979994337010282922234924313555568230546380124001697220746540155523<167>``` ```Number: n N=70707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707067 ( 230 digits) SNFS difficulty: 231 digits. Divisors found: Wed Jan 9 05:11:56 2019 p64 factor: 6035742802459853413290495476736142308832195130696070521889980329 Wed Jan 9 05:11:56 2019 p167 factor: 11714725597362134006815911171066205820200205428258148443573024463611501506247612847896979972114246270979994337010282922234924313555568230546380124001697220746540155523 Wed Jan 9 05:11:56 2019 elapsed time 29:00:18 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.125). Factorization parameters were as follows: # # N = 7x10^231-367 = 7(229)37 # n: 70707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707067 m: 100000000000000000000000000000000000000 deg: 6 c6: 7000 c0: -367 skew: 0.61 # Murphy_E = 6.848e-13 type: snfs lss: 1 rlim: 51000000 alim: 51000000 lpbr: 30 lpba: 30 mfbr: 59 mfba: 59 rlambda: 2.7 alambda: 2.7 Factor base limits: 51000000/51000000 Large primes per side: 3 Large prime bits: 30/30 Max factor residue bits: 59/59 Sieved special-q in [100000, 123100000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 21350151 hash collisions in 112305528 relations (92852664 unique) Msieve: matrix is 7415454 x 7415679 (2609.3 MB) Sieving start time: 2019/01/05 02:13:09 Sieving end time : 2019/01/08 00:07:44 Total sieving time: 69hrs 54min 35secs. Total relation processing time: 27hrs 15min 27sec. Matrix solve time: 0.00 hours. Total square root time: 1hrs 3min 7sec. Prototype def-par.txt line would be: snfs,231,6,0,0,0,0,0,0,0,0,51000000,51000000,30,30,59,59,2.7,2.7,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4252K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved) [ 0.080545] x86/mm: Memory block size: 128MB [ 0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.82 BogoMIPS (lpj=11977644) [ 0.078213] smpboot: Total of 16 processors activated (95821.15 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:05:56 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 56 秒 (日本時間)
1CypJanuary 9, 2015 00:14:39 UTC 2015 年 1 月 9 日 (金) 9 時 14 分 39 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:57 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 57 秒 (日本時間)
4511e6436KTakahashiMarch 14, 2015 01:28:40 UTC 2015 年 3 月 14 日 (土) 10 時 28 分 40 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:47 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 47 秒 (日本時間)

## 7×10232-3679

### c229

name 名前 Serge Batalov January 9, 2015 03:52:36 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 36 秒 (日本時間) `2210223864102806984307410564870070411417384989422500078936566575100249439550377316788228979192321050803574247734520539294622841084904171008177828297180385841937419090019260522244324460863250292065296327870922926336396072116447223<229>` ```6812036649310930743390102666726845567<37> 324458598490714437006162660452421031552682007665461978147450946715311712513788124703073922759100203300525092496424953232094168093512187136038189880583506484216352153510400264124624014667999369<192>``` ```Input number is 2210223864102806984307410564870070411417384989422500078936566575100249439550377316788228979192321050803574247734520539294622841084904171008177828297180385841937419090019260522244324460863250292065296327870922926336396072116447223 (229 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3962516753 Step 1 took 20026ms Step 2 took 3395ms ********** Factor found in step 2: 6812036649310930743390102666726845567 Found probable prime factor of 37 digits: 6812036649310930743390102666726845567 Probable prime cofactor 324458598490714437006162660452421031552682007665461978147450946715311712513788124703073922759100203300525092496424953232094168093512187136038189880583506484216352153510400264124624014667999369 has 192 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:05:57 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 57 秒 (日本時間)

## 7×10233-3679

### c184

composite cofactor 合成数の残り `1045058379458293257334448436334281852075665521043576547388921540608001814780833731420029085166868348449970930409136635165011571114427906990567697458102892534251006889935057932658110977<184>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:57 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 57 秒 (日本時間)
4511e6585 / 4409CypJune 10, 2015 19:05:03 UTC 2015 年 6 月 11 日 (木) 4 時 5 分 3 秒 (日本時間)

## 7×10234-3679

### c216

name 名前 Ignacio Santos February 10, 2022 18:56:00 UTC 2022 年 2 月 11 日 (金) 3 時 56 分 0 秒 (日本時間) `463569285216242206263147738857082881096019376944367862661377354362067750841440010506920792184909556724480396088947404544285294061979596742134438315005853066329925413853263847109206230730679366578155287079263443367551<216>` ```26337571673128990528255867520183196662153<41> 17601064022512013297142459370859995729673178728545891025946248290020124976889819418433423433070410321506504958520596107452439653640732314392124823114853693571319967111559796167<176>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3641354980 Step 1 took 11391ms Step 2 took 5031ms ********** Factor found in step 2: 26337571673128990528255867520183196662153 Found prime factor of 41 digits: 26337571673128990528255867520183196662153 Prime cofactor 17601064022512013297142459370859995729673178728545891025946248290020124976889819418433423433070410321506504958520596107452439653640732314392124823114853693571319967111559796167 has 176 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:05:58 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 58 秒 (日本時間)

## 7×10236-3679

### c190

name 名前 Cyp June 17, 2015 09:40:08 UTC 2015 年 6 月 17 日 (水) 18 時 40 分 8 秒 (日本時間) `1610319546479409470679697654663892516470628326726218503698679711048131406716857142735551264256434641923955730260083587033383661338808734808360025173319003523225803793470483152267188716756147<190>` `3935907909741538996128698642680778372521<40>` `409135473544439467307392803782256066363277342201201530618811347629083852464732175353236927259952698406652854322764621579418483256743216138730495328507<150>` ```Run 423 out of 585: Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=630661390 Step 1 took 59280ms Step 2 took 19517ms ********** Factor found in step 2: 3935907909741538996128698642680778372521 Found probable prime factor of 40 digits: 3935907909741538996128698642680778372521 Composite cofactor 409135473544439467307392803782256066363277342201201530618811347629083852464732175353236927259952698406652854322764621579418483256743216138730495328507 has 150 digits``` `GMP-ECM 6.4.4` `Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU`

### c150

name 名前 Lionel Debroux December 29, 2017 14:58:19 UTC 2017 年 12 月 29 日 (金) 23 時 58 分 19 秒 (日本時間) `409135473544439467307392803782256066363277342201201530618811347629083852464732175353236927259952698406652854322764621579418483256743216138730495328507<150>` ```9074341566728810810003139692077733845511259263573<49> 45087070013381456098725829515180827346956784278370779114897994839326553730714908122290336502190994959<101>``` `9074341566728810810003139692077733845511259263573` `GMP-ECM 7.0.4` `Core i7-6700HQ @ 2.6 GHz (+ turbo), Debian sid amd64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:58 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 58 秒 (日本時間)
4511e61385 / 4409585CypJune 17, 2015 09:40:08 UTC 2015 年 6 月 17 日 (水) 18 時 40 分 8 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:16:51 UTC 2016 年 3 月 1 日 (火) 22 時 16 分 51 秒 (日本時間)

## 7×10237-3679

### c234

composite cofactor 合成数の残り `556748588244651236777221029189533126541000556748588244651236777221029189533126541000556748588244651236777221029189533126541000556748588244651236777221029189533126541000556748588244651236777221029189533126541000556748588244651236777221<234>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:05:59 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 59 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:59 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 59 秒 (日本時間)

## 7×10238-3679

### c224

composite cofactor 合成数の残り `10102680082991035281136325734893201368974957758695599519618713332279878652077258135159758667311047283164376762924848174156664177754070255349578291695004504353784212920757520941889669013966620154618202851614056102780900132871<224>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:05:59 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 59 秒 (日本時間)
4511e6585 / 4409CypMay 27, 2015 21:42:28 UTC 2015 年 5 月 28 日 (木) 6 時 42 分 28 秒 (日本時間)

## 7×10239-3679

### c221

composite cofactor 合成数の残り `22654491206208622427912520988014316452558404784524267565076345233264597577684271103507801526783620029575802383650052725903770290700471905208860908275184808005745871395662012680755162572889009693994080467824998028445873107<221>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:06:00 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 0 秒 (日本時間)
1CypJanuary 9, 2015 00:40:04 UTC 2015 年 1 月 9 日 (金) 9 時 40 分 4 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 19:14:45 UTC 2022 年 2 月 11 日 (金) 4 時 14 分 45 秒 (日本時間)

## 7×10240-3679

### c222

composite cofactor 合成数の残り `117412726143410957719964529667763760350608787873227747884887178548004754286622251605105734498866593043617779725576744033202167746651932440356056815466346927685730793189581581406927901512753301681689121924583184990757739881<222>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:06:01 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 1 秒 (日本時間)
1CypJanuary 9, 2015 00:32:29 UTC 2015 年 1 月 9 日 (金) 9 時 32 分 29 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 19:30:47 UTC 2022 年 2 月 11 日 (金) 4 時 30 分 47 秒 (日本時間)

## 7×10241-3679

### c231

composite cofactor 合成数の残り `233472644109003649633402832995415169301024499791041935160251168141634183264230874425298003189085368458602921318352576640003976941534299048325077490438347566612170819876993779360150176787109921577341622795825460831849307238239867173<231>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62651300Serge BatalovJanuary 9, 2015 00:06:02 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 2 秒 (日本時間)
1CypJanuary 9, 2015 00:29:50 UTC 2015 年 1 月 9 日 (金) 9 時 29 分 50 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 19:36:17 UTC 2022 年 2 月 11 日 (金) 4 時 36 分 17 秒 (日本時間)

## 7×10242-3679

### c213

name 名前 Serge Batalov January 9, 2015 03:52:39 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 39 秒 (日本時間) `781272879972312904960066401107021702880755154748550414677201151666070388705556611671933206770587606434839974808844244526547044523187657734648792194677713571156290328669443621957529403650017857496773897508507021093<213>` ```54190919947211301117690218187619<32> 14417044049692640428918482642398197077900227333106513334835163241309487125521013706386578785706110173152878878191743805144735048959050172866749349417894714054493065169336476483737047<182>``` ```Input number is 781272879972312904960066401107021702880755154748550414677201151666070388705556611671933206770587606434839974808844244526547044523187657734648792194677713571156290328669443621957529403650017857496773897508507021093 (213 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3896209700 Step 1 took 21858ms Step 2 took 13992ms ********** Factor found in step 2: 54190919947211301117690218187619 Found probable prime factor of 32 digits: 54190919947211301117690218187619 Probable prime cofactor 14417044049692640428918482642398197077900227333106513334835163241309487125521013706386578785706110173152878878191743805144735048959050172866749349417894714054493065169336476483737047 has 182 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:03 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 3 秒 (日本時間)

## 7×10243-3679

### c222

composite cofactor 合成数の残り `642682905357990798205517888511177830683220547775454277133572838353605330854508381865376893053763653974458784193620903329642621958118505535580048828138573015212124348242634776825236878191521558579043497810478123285675126621<222>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:06:03 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 3 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 19:46:45 UTC 2022 年 2 月 11 日 (金) 4 時 46 分 45 秒 (日本時間)

## 7×10244-3679

### c243

composite cofactor 合成数の残り `136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241<243>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:06:04 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 4 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 18:41:17 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 17 秒 (日本時間)
4511e639502100Serge BatalovJanuary 9, 2015 20:57:03 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 3 秒 (日本時間)
1850Serge BatalovMarch 18, 2015 22:54:43 UTC 2015 年 3 月 19 日 (木) 7 時 54 分 43 秒 (日本時間)

## 7×10245-3679

### c239

composite cofactor 合成数の残り `98050380246378194043663515187373576290969826116054951355105280195069830780451611647096511129348481836937455203232524935962596301231498768697332063160693227394099636275110877471062181169928732781477778912360749200154023140169882088814874859<239>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:06:05 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 5 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 20:09:28 UTC 2022 年 2 月 11 日 (金) 5 時 9 分 28 秒 (日本時間)

## 7×10247-3679

### c229

name 名前 Serge Batalov January 9, 2015 01:58:35 UTC 2015 年 1 月 9 日 (金) 10 時 58 分 35 秒 (日本時間) `2494342722477007874352551533882076025541143669334484391321982191375582981173450689352217046950934610177153398737610440282850672389610082026813481870949181397543962107724062453644510687873266980477797811649675261304149777838450479<229>` ```7971424269072586275270598405849<31> 2865270010169192652673508005530627847<37>``` `109208048507065619557883790022406286409990927204257433821092013486322270605976232924776616649592953240909218820678080688557865698183245138313569834967361099283393<162>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4196485187 Step 1 took 18273ms Step 2 took 12185ms ********** Factor found in step 2: 2865270010169192652673508005530627847 Found probable prime factor of 37 digits: 2865270010169192652673508005530627847 Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=602668143 Step 1 took 18336ms Step 2 took 12266ms ********** Factor found in step 2: 7971424269072586275270598405849 Found probable prime factor of 31 digits: 7971424269072586275270598405849```

### c162

name 名前 yoyo@Home August 15, 2021 16:37:28 UTC 2021 年 8 月 16 日 (月) 1 時 37 分 28 秒 (日本時間) `109208048507065619557883790022406286409990927204257433821092013486322270605976232924776616649592953240909218820678080688557865698183245138313569834967361099283393<162>` ```250297663269107481358213021545397846144609541774861<51> 436312696973325750112109051916575718535077886554978467500667494017590105279590114626445365311362563764041358213<111>``` ```GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert] [ECM] Tuned for x86_64/core2/params.h Running on GONDOR Input number is 109208048507065619557883790022406286409990927204257433821092013486322270605976232924776616649592953240909218820678080688557865698183245138313569834967361099283393 (162 digits) [Sun Aug 15 11:37:36 2021] Using MODMULN [mulredc:1, sqrredc:1] Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:9303132977831947301 dF=65536, k=5, d=690690, d2=17, i0=46 Expected number of curves to find a factor of n digits: 35 40 45 50 55 60 65 70 75 80 55 246 1286 7557 49831 361851 2844041 2.4e+07 2.2e+08 2.2e+09 Writing checkpoint to checkpnt at p = 43000000 Step 1 took 164460ms Using 20 small primes for NTT Estimated memory usage: 230.68MB Initializing tables of differences for F took 58ms Computing roots of F took 2685ms Building F from its roots took 2315ms Computing 1/F took 1111ms Initializing table of differences for G took 74ms Computing roots of G took 2201ms Building G from its roots took 2734ms Computing roots of G took 2195ms Building G from its roots took 2731ms Computing G * H took 571ms Reducing G * H mod F took 614ms Computing roots of G took 2201ms Building G from its roots took 2723ms Computing G * H took 573ms Reducing G * H mod F took 622ms Computing roots of G took 2199ms Building G from its roots took 2745ms Computing G * H took 568ms Reducing G * H mod F took 624ms Computing roots of G took 2201ms Building G from its roots took 2744ms Computing G * H took 573ms Reducing G * H mod F took 609ms Computing polyeval(F,G) took 5052ms Computing product of all F(g_i) took 27ms Step 2 took 40942ms ********** Factor found in step 2: 250297663269107481358213021545397846144609541774861 Found prime factor of 51 digits: 250297663269107481358213021545397846144609541774861 Prime cofactor 436312696973325750112109051916575718535077886554978467500667494017590105279590114626445365311362563764041358213 has 111 digits Peak memory usage: 321MB``` `GMP-ECM 7.0.5-dev`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:06:05 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 5 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:24 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 24 秒 (日本時間)
4511e639682600Serge BatalovJune 22, 2015 18:19:33 UTC 2015 年 6 月 23 日 (火) 3 時 19 分 33 秒 (日本時間)
1368Ignacio SantosJanuary 16, 2016 12:06:58 UTC 2016 年 1 月 16 日 (土) 21 時 6 分 58 秒 (日本時間)

## 7×10249-3679

### c211

composite cofactor 合成数の残り `2143886010005993793652387893348356264220301102593110171700522695091014088213090888826211304820410718576478901933072586758789081802814711961900811262018407836931884190315792917826796513983843016466451403037670793<211>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:06:06 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 6 秒 (日本時間)
1CypJanuary 9, 2015 00:47:21 UTC 2015 年 1 月 9 日 (金) 9 時 47 分 21 秒 (日本時間)
4511e6585 / 4409CypMay 19, 2015 18:02:29 UTC 2015 年 5 月 20 日 (水) 3 時 2 分 29 秒 (日本時間)

## 7×10250-3679

### c246

name 名前 Serge Batalov January 9, 2015 03:52:43 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 43 秒 (日本時間) `978706150469079876403394712190484179914153489087426422269759378102148959076101393957188596675195391692182934161039106301469457377347147071571382632160284104413964738615550242579310151979083651412832235784293164436614795240691805433217286746920571<246>` `40776765455537402341079211790579<32>` `24001564114648862103047835146960213518489526223100717883357981193686678897091031806111999729889977155507169711835842395383330735608836559604670774495245133367204514533645425749172106515372809362171240427568916661849<215>` ```Input number is 978706150469079876403394712190484179914153489087426422269759378102148959076101393957188596675195391692182934161039106301469457377347147071571382632160284104413964738615550242579310151979083651412832235784293164436614795240691805433217286746920571 (246 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=558934117 Step 1 took 24621ms Step 2 took 15841ms ********** Factor found in step 2: 40776765455537402341079211790579 Found probable prime factor of 32 digits: 40776765455537402341079211790579 Composite cofactor 24001564114648862103047835146960213518489526223100717883357981193686678897091031806111999729889977155507169711835842395383330735608836559604670774495245133367204514533645425749172106515372809362171240427568916661849 has 215 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:06:07 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 7 秒 (日本時間)
4511e6600 / 2655Dmitry DomanovApril 21, 2015 11:01:03 UTC 2015 年 4 月 21 日 (火) 20 時 1 分 3 秒 (日本時間)
5043e6500 / 7407Dmitry DomanovJune 20, 2015 09:44:17 UTC 2015 年 6 月 20 日 (土) 18 時 44 分 17 秒 (日本時間)

## 7×10251-3679

### c212

composite cofactor 合成数の残り `65423748719176964023887555087446305400585687155984342727454673860461242368956129931888714672873293896953789516284424062278949915154719144256010025567955930286451483796875876995860042023386557012959760242808333121<212>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10252-3679

### c191

composite cofactor 合成数の残り `40282287718793121829971047701269365594326190574200775146708214691351439886058242762045981390832929411417043582082270164854611754694235126601144951658453598515325396882404585099000833805580593<191>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10253-3679

### c201

composite cofactor 合成数の残り `253577488003706127037991233483599226350935090878117681655821386029616157588381291083346070842201744647728519626809700965962502496073565904844393279919477600746909488271291592062948013081112399061375021<201>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10254-3679

### c247

composite cofactor 合成数の残り `7259968509782874980925729163493671501007097645985287715300459345467582472282918151809903408089540220075159135139034775363247079410603812514383164398533233299264375393639381869272008005961388313821597537194659596204077756295530957330250709218545183<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10255-3679

### c213

composite cofactor 合成数の残り `951489816127039708280190597694159486170088712839346295125921813921662851348554560862194765994939563678628695044453906049777196726765636448010253570856471147886405728317562004374959447723646256116015270313143996409<213>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10256-3679

### c251

composite cofactor 合成数の残り `18707868877081551074753704224851479565261197928985464253137777307408503154013065041113214410083434422639086991857533698885091191506841334020713886931244038537140865709304839645501920095484962748624236685542906363641951701093154229541809548015215377013<251>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10258-3679

### c179

composite cofactor 合成数の残り `57721703553032446945280889726868810276829300490022644249529212745245852932821176213504105277811918838925575608857346632453869631259854490666759571017166180225741446220589474466321<179>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10259-3679

### c230

composite cofactor 合成数の残り `85986079970521745909089744617288033332848911978250697830380493255161273620393484703716392139214733987455561543705166814639373217677960958563034286773618568208379476128911937459916011041993621686453695938166953817816999481779012089<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10261-3679

### c256

composite cofactor 合成数の残り `5461270619222268252931727095626068361064885356226979769113081849623133318197811902917332746636832525455372446953508203218560830362792207234935280042254630962439721225540334214158266062182027270464746327880644710798414359084784666000391651121549939808995961<256>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10263-3679

### c191

composite cofactor 合成数の残り `31667767146353181662977035404312221354771894601234259251703139832611666832647854270143718234202013908463090204186490877720270556541397404105732618341859890612066507090034306401088137376341381<191>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10265-3679

### c222

composite cofactor 合成数の残り `341610588403871739986191566552743705343946396641259882089428130750262704739076496022279146109329142004628246994848161262867944707540712382040523968756916106973165033074074646757329407638859517174760864191814305853029645359<222>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10271-3679

### c270

composite cofactor 合成数の残り `235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235690235689<270>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10274-3679

### c211

composite cofactor 合成数の残り `2838766874845816070088482456045767431812362649123405038712495419104711053341873422337068897196487866723841244284274377020839571455873942492472649584401584493126712142515378077536754290232118706221093202056522421<211>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10277-3679

### c223

composite cofactor 合成数の残り `1807143980642368782738266904587742773548898264296995111666372706514779911225998962676202898748904692564342367743073063676916240094032545864118792981266705813962917774084788442444237096987701901465580905604594463592952920843<223>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10278-3679

### c263

composite cofactor 合成数の残り `40475415120381578642819994119839266648391082416745812085019653642090213747081454690605709591476441461553803476434692522235081066665653809396782381215125554789927581726073922571197680473442140223372999279807303982095126570729237310959524692509479643851254059031483<263>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10279-3679

### c216

composite cofactor 合成数の残り `410286685828636578643817422226707641827866259478258307552685838004777413495787591462286364785289932910768861511373108463834196853798257651365286398187191744024172741170259751680192936130999445007428255442898071072357<216>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10281-3679

### c238

composite cofactor 合成数の残り `6776056020864528596345577355868875747547260979088937882743366616377412553669710293217662375762344843182061508835199078731983671255508487718138966926151527736287561893781421101680783543938548447332575972689911269690678978464568353966040843<238>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10282-3679

### c245

composite cofactor 合成数の残り `42657770942094502316413639765759211924347746005692348597995836510910841375275911996788083933137524542863109268372729672670704117570460294607905964656268511453902061785373108740522517772023760921680763319565579129800852626457319187951405416381697<245>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10283-3679

### c281

composite cofactor 合成数の残り `21426385062748699112335475971839608203244566880930517294153657790021426385062748699112335475971839608203244566880930517294153657790021426385062748699112335475971839608203244566880930517294153657790021426385062748699112335475971839608203244566880930517294153657790021426385062748699<281>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10285-3679

### c284

composite cofactor 合成数の残り `70707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707067<284>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10287-3679

### c238

composite cofactor 合成数の残り `1762247569549006539718319963830150734887553640842130960703417698208992259536400927422986776360236861189380816437516654349466809202166969797848226582306431355948474772616648770729916391840362076185719834058193703274749551586091239850964049<238>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10289-3679

### c247

composite cofactor 合成数の残り `1639200509747714607753885440812371349696433934975012624004859816101949706357405916369694594028497347092104395440577482735186298102262934589986392047226720961684071915799778502775254022682916084781219172526956225306807575458407349468633157497045291<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10290-3679

### c269

composite cofactor 合成数の残り `28193103471246669166753929767316016810823091581705159048379832416007878646515687356661888661026207979720590603588543491016813323221909870345772449032173356359591944871361351459320688611385071150653343736552307074332879043643284593356832328052004926795175685511232607697<269>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10291-3679

### c253

composite cofactor 合成数の残り `7754967241880220938030904752180432874185607975596422174381119723357799616722705110260770935465421806811455085122489120265207622775738748224535657583099070098232090881350079562889560159793192948459519498318159297126098129111298730305534621477687300329331<253>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10292-3679

### c223

composite cofactor 合成数の残り `1661808904933921974065800917175165723006178048097815984247417054728965867219603317516737349461070198679928204430726790080991111054566641860753473865178084577641119236239292885620971199666438113680138840444980216643300089057<223>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10293-3679

### c175

composite cofactor 合成数の残り `2985867760905226099035321704168848047105727953590441802912506285307590360286623720415316823844107702257241149964805384070644557556052357957295020964401838564575221309868154677<175>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)
4511e632001600Dmitry DomanovJuly 25, 2018 21:38:38 UTC 2018 年 7 月 26 日 (木) 6 時 38 分 38 秒 (日本時間)
1600Dmitry DomanovJuly 26, 2018 22:05:30 UTC 2018 年 7 月 27 日 (金) 7 時 5 分 30 秒 (日本時間)
5043e6208 / 6741Dmitry DomanovJuly 28, 2018 06:50:52 UTC 2018 年 7 月 28 日 (土) 15 時 50 分 52 秒 (日本時間)

## 7×10294-3679

### c239

composite cofactor 合成数の残り `11529821819005573533166455806486243468994505169563124630142885784373634618665180313201541793265368301125417401884031780011471941764487289435993540025122250184679229505113811481502427011679503945168866198910948374557863198334406506431757639<239>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10295-3679

### c227

composite cofactor 合成数の残り `33345898041071616582943962594700189197233488130369883507221511244971515449684446487260999280313135019700817473797921738099815942878544594218459695120083096576219304027200830539879500971237012939642328286691467404774192381505689<227>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10296-3679

### c262

composite cofactor 合成数の残り `1801562813390451094951389924654482623505291173724717094713553366426079230791453714813698003414949470419514646026947183224199770242359359734249554829596061543414769908746518722243896812655206108930854245244364065508515407253662897964921553948101147280825242694149<262>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)

## 7×10298-3679

### c217

composite cofactor 合成数の残り `4234470605690743508761970704364594384064652832621609673799462573322853358962357464756233927937973457118749638481084010237644441746075773029220640602359979752772225485617490058082757327180672050933685017217557241484239<217>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJuly 18, 2018 00:00:00 UTC 2018 年 7 月 18 日 (水) 9 時 0 分 0 秒 (日本時間)