## 46×10110+179

### c89

name 名前 Serge Batalov March 6, 2009 17:35:38 UTC 2009 年 3 月 7 日 (土) 2 時 35 分 38 秒 (日本時間) `62177201274200327211413308247696347613374762465291108391619886307280847285625228124954901<89>` ```509413598709906626667570172159511<33> 122056422191446221014247383030211096456944262433194285491<57>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2686212401 Step 1 took 5805ms Step 2 took 6368ms ********** Factor found in step 2: 509413598709906626667570172159511 Found probable prime factor of 33 digits: 509413598709906626667570172159511 Probable prime cofactor 122056422191446221014247383030211096456944262433194285491 has 57 digits``` `GMP-ECM 6.2.2`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10112+179

### c102

name 名前 Ignacio Santos March 6, 2009 15:02:13 UTC 2009 年 3 月 7 日 (土) 0 時 2 分 13 秒 (日本時間) `341652411540855550987982852437214566361269865885464620167649342547784989794149585043200330164519731911<102>` ```517866767205520783356060520331<30> 659730326748824292543983066756293862349872523611320087213527547002192181<72>``` ```Number: 51113_112 N=341652411540855550987982852437214566361269865885464620167649342547784989794149585043200330164519731911 ( 102 digits) SNFS difficulty: 114 digits. Divisors found: r1=517866767205520783356060520331 (pp30) r2=659730326748824292543983066756293862349872523611320087213527547002192181 (pp72) Version: Msieve-1.39 Total time: 0.66 hours. Scaled time: 0.79 units (timescale=1.184). Factorization parameters were as follows: n: 341652411540855550987982852437214566361269865885464620167649342547784989794149585043200330164519731911 m: 20000000000000000000000 deg: 5 c5: 575 c0: 68 skew: 0.65 type: snfs lss: 1 rlim: 560000 alim: 560000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2 Factor base limits: 560000/560000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [280000, 430001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 65804 x 66045 Total sieving time: 0.66 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,114,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000 total time: 0.66 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10113+179

### c93

name 名前 Max Dettweiler March 6, 2009 20:09:51 UTC 2009 年 3 月 7 日 (土) 5 時 9 分 51 秒 (日本時間) `131350975040553830349733335037245342075215762201405132631282575232890983280795267893437484333<93>` ```4412416030289271351015581005697119<34> 29768492848110394115729558818954963316995218350789392555507<59>``` ```Number: 51113_113 N=131350975040553830349733335037245342075215762201405132631282575232890983280795267893437484333 ( 93 digits) SNFS difficulty: 116 digits. Divisors found: r1=4412416030289271351015581005697119 (pp34) r2=29768492848110394115729558818954963316995218350789392555507 (pp59) Version: GGNFS-0.77.1-20060722-prescott Total time: 1.28 hours. Scaled time: 2.07 units (timescale=1.621). Factorization parameters were as follows: n: 131350975040553830349733335037245342075215762201405132631282575232890983280795267893437484333 m: 50000000000000000000000 deg: 5 c5: 368 c0: 425 skew: 1.03 type: snfs lss: 1 rlim: 600000 alim: 600000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2 Factor base limits: 600000/600000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [300000, 500001) Primes: RFBsize:49098, AFBsize:49246, largePrimes:1245641 encountered Relations: rels:1220739, finalFF:145520 Max relations in full relation-set: 32 Initial matrix: 98411 x 145520 with sparse part having weight 6465754. Pruned matrix : 79822 x 80378 with weight 2618257. Total sieving time: 1.21 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.02 hours. Time per square root: 0.02 hours. Prototype def-par.txt line would be: snfs,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000 total time: 1.28 hours. --------- CPU info (if available) ---------- [ 0.371537] CPU0: Intel(R) Core(TM)2 Duo CPU E4500 @ 2.20GHz stepping 0d [ 0.456480] CPU1: Intel(R) Core(TM)2 Duo CPU E4500 @ 2.20GHz stepping 0d [ 0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem) [ 0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.13 BogoMIPS (lpj=8800276) [ 0.004000] Calibrating delay using timer specific routine.. 4400.40 BogoMIPS (lpj=8800811) [ 0.460049] Total of 2 processors activated (8800.54 BogoMIPS).``` `GGNFS via factLat.pl` `Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10115+179

### c112

name 名前 Ignacio Santos March 6, 2009 15:29:03 UTC 2009 年 3 月 7 日 (土) 0 時 29 分 3 秒 (日本時間) `2757843366487406847844985221556742627265478395894410570933529979555987217995527497496957379329364437010257978261<112>` ```3149446937547697015940394432710152051321<40> 875659574895009800158875966619714504676290535754462619860371208304102141<72>``` ```Number: 51113_115 N=2757843366487406847844985221556742627265478395894410570933529979555987217995527497496957379329364437010257978261 ( 112 digits) SNFS difficulty: 116 digits. Divisors found: r1=3149446937547697015940394432710152051321 (pp40) r2=875659574895009800158875966619714504676290535754462619860371208304102141 (pp72) Version: Msieve-1.39 Total time: 1.03 hours. Scaled time: 2.61 units (timescale=2.544). Factorization parameters were as follows: n: 2757843366487406847844985221556742627265478395894410570933529979555987217995527497496957379329364437010257978261 m: 100000000000000000000000 deg: 5 c5: 46 c0: 17 skew: 0.82 type: snfs lss: 1 rlim: 620000 alim: 620000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2Factor base limits: 620000/620000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [310000, 510001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 61649 x 61881 Total sieving time: 1.03 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,116,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000 total time: 1.03 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10116+179

### c109

name 名前 Ignacio Santos March 6, 2009 15:44:09 UTC 2009 年 3 月 7 日 (土) 0 時 44 分 9 秒 (日本時間) `5050778501250192301528964311329771609977887153703816742322552335724886835633236616744409621852067574993621553<109>` ```30361717830758145620260372150707551<35> 166353515614767575628006317055974058159089119918491151110217499030179553903<75>``` ```Number: 51113_116 N=5050778501250192301528964311329771609977887153703816742322552335724886835633236616744409621852067574993621553 ( 109 digits) SNFS difficulty: 118 digits. Divisors found: r1=30361717830758145620260372150707551 (pp35) r2=166353515614767575628006317055974058159089119918491151110217499030179553903 (pp75) Version: Msieve-1.39 Total time: 1.26 hours. Scaled time: 1.51 units (timescale=1.192). Factorization parameters were as follows: n: 5050778501250192301528964311329771609977887153703816742322552335724886835633236616744409621852067574993621553 m: 200000000000000000000000 deg: 5 c5: 115 c0: 136 skew: 1.03 type: snfs lss: 1 rlim: 660000 alim: 660000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.2 alambda: 2.2Factor base limits: 660000/660000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved rational special-q in [330000, 630001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 76182 x 76425 Total sieving time: 1.26 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,118,5,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000 total time: 1.26 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10118+179

### c104

name 名前 Ignacio Santos March 6, 2009 16:27:07 UTC 2009 年 3 月 7 日 (土) 1 時 27 分 7 秒 (日本時間) `29813632050069347490532431275832226137066203213154862026980704247830053064634704339885126599399115599653<104>` ```2016015307475000907731963844200174382199696883<46> 14788395673150931151082918084560210578584532965509326765191<59>``` ```Number: 51113_118 N=29813632050069347490532431275832226137066203213154862026980704247830053064634704339885126599399115599653 ( 104 digits) SNFS difficulty: 121 digits. Divisors found: r1=2016015307475000907731963844200174382199696883 (pp46) r2=14788395673150931151082918084560210578584532965509326765191 (pp59) Version: Msieve-1.39 Total time: 1.54 hours. Scaled time: 3.93 units (timescale=2.552). Factorization parameters were as follows: n: 29813632050069347490532431275832226137066203213154862026980704247830053064634704339885126599399115599653 m: 500000000000000000000000 deg: 5 c5: 368 c0: 425 skew: 1.03 type: snfs lss: 1 rlim: 730000 alim: 730000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.2 alambda: 2.2Factor base limits: 730000/730000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [365000, 665001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 79366 x 79598 Total sieving time: 1.54 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000 total time: 1.54 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10122+179

### c110

name 名前 Ignacio Santos March 6, 2009 16:42:11 UTC 2009 年 3 月 7 日 (土) 1 時 42 分 11 秒 (日本時間) `75091023772224931608850193272260239506670593186929340447367012240320458339626335158324329345270161515064431217<110>` ```34049764786873379485800962656346734204740599<44> 2205331644498568848091937648557874956117764055165157741281702138583<67>``` ```Number: 51113_122 N=75091023772224931608850193272260239506670593186929340447367012240320458339626335158324329345270161515064431217 ( 110 digits) SNFS difficulty: 124 digits. Divisors found: r1=34049764786873379485800962656346734204740599 (pp44) r2=2205331644498568848091937648557874956117764055165157741281702138583 (pp67) Version: Msieve-1.39 Total time: 1.60 hours. Scaled time: 1.87 units (timescale=1.168). Factorization parameters were as follows: n: 75091023772224931608850193272260239506670593186929340447367012240320458339626335158324329345270161515064431217 m: 2000000000000000000000000 deg: 5 c5: 575 c0: 68 skew: 0.65 type: snfs lss: 1 rlim: 820000 alim: 820000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.2 alambda: 2.2Factor base limits: 820000/820000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved rational special-q in [410000, 760001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 93359 x 93597 Total sieving time: 1.60 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,124,5,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,50000 total time: 1.60 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10124+179

### c103

name 名前 Ignacio Santos March 6, 2009 17:24:31 UTC 2009 年 3 月 7 日 (土) 2 時 24 分 31 秒 (日本時間) `2635706422515447056256903802271865338169561795700607621402887842394171988138136389923500327521824479559<103>` ```60690029957183105131052218040318610567451<41> 43428985360115019825925624610794271374784635308137098147997509<62>``` ```Number: 51113_124 N=2635706422515447056256903802271865338169561795700607621402887842394171988138136389923500327521824479559 ( 103 digits) SNFS difficulty: 126 digits. Divisors found: r1=60690029957183105131052218040318610567451 (pp41) r2=43428985360115019825925624610794271374784635308137098147997509 (pp62) Version: Msieve-1.39 Total time: 1.50 hours. Scaled time: 3.84 units (timescale=2.556). Factorization parameters were as follows: n: 2635706422515447056256903802271865338169561795700607621402887842394171988138136389923500327521824479559 m: 10000000000000000000000000 deg: 5 c5: 23 c0: 85 skew: 1.30 type: snfs lss: 1 rlim: 890000 alim: 890000 lpbr: 26 lpba: 26 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3Factor base limits: 890000/890000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 46/46 Sieved rational special-q in [445000, 695001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 131110 x 131358 Total sieving time: 1.50 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,126,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000 total time: 1.50 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10125+179

### c87

name 名前 Ignacio Santos March 6, 2009 18:26:55 UTC 2009 年 3 月 7 日 (土) 3 時 26 分 55 秒 (日本時間) `311574276510676870408699248115153667418766226787058099189185771886362891194019546059123<87>` ```25918694903313710763660728913817190897<38> 12021217799467288439523031407236435366656415114659<50>``` ```Fri Mar 06 18:53:23 2009 Fri Mar 06 18:53:23 2009 Fri Mar 06 18:53:23 2009 Msieve v. 1.40 Fri Mar 06 18:53:23 2009 random seeds: 0010f447 0021e88e Fri Mar 06 18:53:23 2009 factoring 311574276510676870408699248115153667418766226787058099189185771886362891194019546059123 (87 digits) Fri Mar 06 18:53:24 2009 searching for 15-digit factors Fri Mar 06 18:53:25 2009 commencing quadratic sieve (87-digit input) Fri Mar 06 18:53:25 2009 using multiplier of 11 Fri Mar 06 18:53:25 2009 using 32kb Intel Core sieve core Fri Mar 06 18:53:25 2009 sieve interval: 20 blocks of size 32768 Fri Mar 06 18:53:25 2009 processing polynomials in batches of 11 Fri Mar 06 18:53:25 2009 using a sieve bound of 1489637 (56445 primes) Fri Mar 06 18:53:25 2009 using large prime bound of 119170960 (26 bits) Fri Mar 06 18:53:25 2009 using double large prime bound of 344434582165760 (42-49 bits) Fri Mar 06 18:53:25 2009 using trial factoring cutoff of 49 bits Fri Mar 06 18:53:25 2009 polynomial 'A' values have 11 factors Fri Mar 06 19:26:01 2009 56840 relations (16048 full + 40792 combined from 593695 partial), need 56541 Fri Mar 06 19:26:02 2009 begin with 609743 relations Fri Mar 06 19:26:02 2009 reduce to 135618 relations in 10 passes Fri Mar 06 19:26:02 2009 attempting to read 135618 relations Fri Mar 06 19:26:03 2009 recovered 135618 relations Fri Mar 06 19:26:03 2009 recovered 113425 polynomials Fri Mar 06 19:26:03 2009 attempting to build 56840 cycles Fri Mar 06 19:26:03 2009 found 56840 cycles in 4 passes Fri Mar 06 19:26:03 2009 distribution of cycle lengths: Fri Mar 06 19:26:03 2009 length 1 : 16048 Fri Mar 06 19:26:03 2009 length 2 : 11289 Fri Mar 06 19:26:03 2009 length 3 : 10080 Fri Mar 06 19:26:03 2009 length 4 : 7357 Fri Mar 06 19:26:03 2009 length 5 : 5026 Fri Mar 06 19:26:03 2009 length 6 : 3101 Fri Mar 06 19:26:03 2009 length 7 : 1809 Fri Mar 06 19:26:03 2009 length 9+: 2130 Fri Mar 06 19:26:03 2009 largest cycle: 18 relations Fri Mar 06 19:26:04 2009 matrix is 56445 x 56840 (13.2 MB) with weight 3235525 (56.92/col) Fri Mar 06 19:26:04 2009 sparse part has weight 3235525 (56.92/col) Fri Mar 06 19:26:04 2009 filtering completed in 3 passes Fri Mar 06 19:26:04 2009 matrix is 51747 x 51811 (12.1 MB) with weight 2966797 (57.26/col) Fri Mar 06 19:26:04 2009 sparse part has weight 2966797 (57.26/col) Fri Mar 06 19:26:04 2009 saving the first 48 matrix rows for later Fri Mar 06 19:26:04 2009 matrix is 51699 x 51811 (8.0 MB) with weight 2357180 (45.50/col) Fri Mar 06 19:26:04 2009 sparse part has weight 1788183 (34.51/col) Fri Mar 06 19:26:04 2009 matrix includes 64 packed rows Fri Mar 06 19:26:04 2009 using block size 20724 for processor cache size 4096 kB Fri Mar 06 19:26:04 2009 commencing Lanczos iteration Fri Mar 06 19:26:04 2009 memory use: 7.7 MB Fri Mar 06 19:26:16 2009 lanczos halted after 819 iterations (dim = 51697) Fri Mar 06 19:26:16 2009 recovered 16 nontrivial dependencies Fri Mar 06 19:26:16 2009 prp38 factor: 25918694903313710763660728913817190897 Fri Mar 06 19:26:16 2009 prp50 factor: 12021217799467288439523031407236435366656415114659 Fri Mar 06 19:26:16 2009 elapsed time 00:32:30``` `Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10126+179

### c97

name 名前 Max Dettweiler March 6, 2009 20:47:19 UTC 2009 年 3 月 7 日 (土) 5 時 47 分 19 秒 (日本時間) `5577565017959340603130194616039714070499780268304544574590233529387927501354604569332715575645489<97>` ```2718013478775412943759161342874328001<37> 2052074083338351936368477625152429496333705580464085045253489<61>``` ```Fri Mar 6 15:36:55 2009 Msieve v. 1.40 Fri Mar 6 15:36:55 2009 random seeds: 0ccba1c4 88d7ca1a Fri Mar 6 15:36:55 2009 factoring 5577565017959340603130194616039714070499780268304544574590233529387927501354604569332715575645489 (97 digits) Fri Mar 6 15:36:56 2009 no P-1/P+1/ECM available, skipping Fri Mar 6 15:36:56 2009 commencing number field sieve (97-digit input) Fri Mar 6 15:36:56 2009 R0: -20000000000000000000000000 Fri Mar 6 15:36:56 2009 R1: 1 Fri Mar 6 15:36:56 2009 A0: 136 Fri Mar 6 15:36:56 2009 A1: 0 Fri Mar 6 15:36:56 2009 A2: 0 Fri Mar 6 15:36:56 2009 A3: 0 Fri Mar 6 15:36:56 2009 A4: 0 Fri Mar 6 15:36:56 2009 A5: 115 Fri Mar 6 15:36:56 2009 skew 1.03, size 2.597754e-09, alpha 1.172882, combined = 7.517651e-09 Fri Mar 6 15:36:56 2009 Fri Mar 6 15:36:56 2009 commencing relation filtering Fri Mar 6 15:36:56 2009 commencing duplicate removal, pass 1 Fri Mar 6 15:37:31 2009 found 374913 hash collisions in 3892578 relations Fri Mar 6 15:37:40 2009 added 31511 free relations Fri Mar 6 15:37:40 2009 commencing duplicate removal, pass 2 Fri Mar 6 15:37:43 2009 found 377312 duplicates and 3546777 unique relations Fri Mar 6 15:37:43 2009 memory use: 40.3 MB Fri Mar 6 15:37:43 2009 reading rational ideals above 1114112 Fri Mar 6 15:37:43 2009 reading algebraic ideals above 1114112 Fri Mar 6 15:37:43 2009 commencing singleton removal, pass 1 Fri Mar 6 15:38:14 2009 relations with 0 large ideals: 60150 Fri Mar 6 15:38:14 2009 relations with 1 large ideals: 530121 Fri Mar 6 15:38:14 2009 relations with 2 large ideals: 1484931 Fri Mar 6 15:38:14 2009 relations with 3 large ideals: 1111827 Fri Mar 6 15:38:14 2009 relations with 4 large ideals: 202778 Fri Mar 6 15:38:14 2009 relations with 5 large ideals: 0 Fri Mar 6 15:38:14 2009 relations with 6 large ideals: 156970 Fri Mar 6 15:38:14 2009 relations with 7+ large ideals: 0 Fri Mar 6 15:38:14 2009 3546777 relations and about 3528629 large ideals Fri Mar 6 15:38:14 2009 commencing singleton removal, pass 2 Fri Mar 6 15:38:47 2009 found 1578884 singletons Fri Mar 6 15:38:47 2009 current dataset: 1967893 relations and about 1377042 large ideals Fri Mar 6 15:38:47 2009 commencing singleton removal, pass 3 Fri Mar 6 15:39:04 2009 found 317709 singletons Fri Mar 6 15:39:04 2009 current dataset: 1650184 relations and about 1044914 large ideals Fri Mar 6 15:39:04 2009 commencing singleton removal, final pass Fri Mar 6 15:39:20 2009 memory use: 26.4 MB Fri Mar 6 15:39:20 2009 commencing in-memory singleton removal Fri Mar 6 15:39:21 2009 begin with 1650184 relations and 1068111 unique ideals Fri Mar 6 15:39:21 2009 reduce to 1549980 relations and 966655 ideals in 7 passes Fri Mar 6 15:39:21 2009 max relations containing the same ideal: 23 Fri Mar 6 15:39:22 2009 reading rational ideals above 557056 Fri Mar 6 15:39:22 2009 reading algebraic ideals above 557056 Fri Mar 6 15:39:22 2009 commencing singleton removal, final pass Fri Mar 6 15:39:43 2009 keeping 1178944 ideals with weight <= 20, new excess is 140370 Fri Mar 6 15:39:44 2009 memory use: 34.0 MB Fri Mar 6 15:39:44 2009 commencing in-memory singleton removal Fri Mar 6 15:39:44 2009 begin with 1580117 relations and 1178944 unique ideals Fri Mar 6 15:39:44 2009 reduce to 1549968 relations and 999952 ideals in 2 passes Fri Mar 6 15:39:44 2009 max relations containing the same ideal: 20 Fri Mar 6 15:39:45 2009 removing 534828 relations and 341235 ideals in 193593 cliques Fri Mar 6 15:39:45 2009 commencing in-memory singleton removal Fri Mar 6 15:39:45 2009 begin with 1015140 relations and 999952 unique ideals Fri Mar 6 15:39:46 2009 reduce to 948043 relations and 582060 ideals in 6 passes Fri Mar 6 15:39:46 2009 max relations containing the same ideal: 19 Fri Mar 6 15:39:46 2009 removing 426135 relations and 234333 ideals in 191802 cliques Fri Mar 6 15:39:46 2009 commencing in-memory singleton removal Fri Mar 6 15:39:47 2009 begin with 521908 relations and 582060 unique ideals Fri Mar 6 15:39:47 2009 reduce to 470591 relations and 289788 ideals in 7 passes Fri Mar 6 15:39:47 2009 max relations containing the same ideal: 14 Fri Mar 6 15:39:47 2009 removing 63694 relations and 45721 ideals in 17973 cliques Fri Mar 6 15:39:47 2009 commencing in-memory singleton removal Fri Mar 6 15:39:47 2009 begin with 406897 relations and 289788 unique ideals Fri Mar 6 15:39:47 2009 reduce to 400558 relations and 237472 ideals in 6 passes Fri Mar 6 15:39:47 2009 max relations containing the same ideal: 14 Fri Mar 6 15:39:48 2009 relations with 0 large ideals: 36310 Fri Mar 6 15:39:48 2009 relations with 1 large ideals: 112733 Fri Mar 6 15:39:48 2009 relations with 2 large ideals: 146048 Fri Mar 6 15:39:48 2009 relations with 3 large ideals: 81988 Fri Mar 6 15:39:48 2009 relations with 4 large ideals: 20059 Fri Mar 6 15:39:48 2009 relations with 5 large ideals: 2184 Fri Mar 6 15:39:48 2009 relations with 6 large ideals: 1234 Fri Mar 6 15:39:48 2009 relations with 7+ large ideals: 2 Fri Mar 6 15:39:48 2009 commencing 2-way merge Fri Mar 6 15:39:48 2009 reduce to 310081 relation sets and 146995 unique ideals Fri Mar 6 15:39:48 2009 commencing full merge Fri Mar 6 15:39:49 2009 memory use: 10.3 MB Fri Mar 6 15:39:49 2009 found 163405 cycles, need 142070 Fri Mar 6 15:39:49 2009 weight of 142070 cycles is about 7188564 (50.60/cycle) Fri Mar 6 15:39:49 2009 distribution of cycle lengths: Fri Mar 6 15:39:49 2009 1 relations: 36324 Fri Mar 6 15:39:49 2009 2 relations: 17964 Fri Mar 6 15:39:49 2009 3 relations: 14416 Fri Mar 6 15:39:49 2009 4 relations: 12395 Fri Mar 6 15:39:49 2009 5 relations: 11292 Fri Mar 6 15:39:49 2009 6 relations: 9710 Fri Mar 6 15:39:49 2009 7 relations: 8514 Fri Mar 6 15:39:49 2009 8 relations: 7597 Fri Mar 6 15:39:49 2009 9 relations: 6625 Fri Mar 6 15:39:49 2009 10+ relations: 17233 Fri Mar 6 15:39:49 2009 heaviest cycle: 16 relations Fri Mar 6 15:39:49 2009 matrix can improve, retrying Fri Mar 6 15:39:50 2009 reading rational ideals above 557056 Fri Mar 6 15:39:50 2009 reading algebraic ideals above 557056 Fri Mar 6 15:39:50 2009 commencing singleton removal, final pass Fri Mar 6 15:40:11 2009 keeping 1188055 ideals with weight <= 25, new excess is 131259 Fri Mar 6 15:40:12 2009 memory use: 34.0 MB Fri Mar 6 15:40:12 2009 commencing in-memory singleton removal Fri Mar 6 15:40:12 2009 begin with 1580117 relations and 1188055 unique ideals Fri Mar 6 15:40:12 2009 reduce to 1549968 relations and 1009063 ideals in 2 passes Fri Mar 6 15:40:12 2009 max relations containing the same ideal: 25 Fri Mar 6 15:40:13 2009 removing 536286 relations and 341964 ideals in 194322 cliques Fri Mar 6 15:40:13 2009 commencing in-memory singleton removal Fri Mar 6 15:40:13 2009 begin with 1013682 relations and 1009063 unique ideals Fri Mar 6 15:40:14 2009 reduce to 946319 relations and 590094 ideals in 6 passes Fri Mar 6 15:40:14 2009 max relations containing the same ideal: 23 Fri Mar 6 15:40:15 2009 removing 425142 relations and 233773 ideals in 191369 cliques Fri Mar 6 15:40:15 2009 commencing in-memory singleton removal Fri Mar 6 15:40:15 2009 begin with 521177 relations and 590094 unique ideals Fri Mar 6 15:40:15 2009 reduce to 469861 relations and 298399 ideals in 7 passes Fri Mar 6 15:40:15 2009 max relations containing the same ideal: 17 Fri Mar 6 15:40:15 2009 removing 66868 relations and 47667 ideals in 19201 cliques Fri Mar 6 15:40:15 2009 commencing in-memory singleton removal Fri Mar 6 15:40:15 2009 begin with 402993 relations and 298399 unique ideals Fri Mar 6 15:40:15 2009 reduce to 396019 relations and 243465 ideals in 6 passes Fri Mar 6 15:40:15 2009 max relations containing the same ideal: 16 Fri Mar 6 15:40:16 2009 relations with 0 large ideals: 29445 Fri Mar 6 15:40:16 2009 relations with 1 large ideals: 99567 Fri Mar 6 15:40:16 2009 relations with 2 large ideals: 143008 Fri Mar 6 15:40:16 2009 relations with 3 large ideals: 90693 Fri Mar 6 15:40:16 2009 relations with 4 large ideals: 27334 Fri Mar 6 15:40:16 2009 relations with 5 large ideals: 4613 Fri Mar 6 15:40:16 2009 relations with 6 large ideals: 1354 Fri Mar 6 15:40:16 2009 relations with 7+ large ideals: 5 Fri Mar 6 15:40:16 2009 commencing 2-way merge Fri Mar 6 15:40:16 2009 reduce to 306024 relation sets and 153470 unique ideals Fri Mar 6 15:40:16 2009 commencing full merge Fri Mar 6 15:40:18 2009 memory use: 10.4 MB Fri Mar 6 15:40:18 2009 found 155708 cycles, need 135959 Fri Mar 6 15:40:18 2009 weight of 135959 cycles is about 7629747 (56.12/cycle) Fri Mar 6 15:40:18 2009 distribution of cycle lengths: Fri Mar 6 15:40:18 2009 1 relations: 29610 Fri Mar 6 15:40:18 2009 2 relations: 15266 Fri Mar 6 15:40:18 2009 3 relations: 13262 Fri Mar 6 15:40:18 2009 4 relations: 11881 Fri Mar 6 15:40:18 2009 5 relations: 10947 Fri Mar 6 15:40:18 2009 6 relations: 9907 Fri Mar 6 15:40:18 2009 7 relations: 8930 Fri Mar 6 15:40:18 2009 8 relations: 7882 Fri Mar 6 15:40:18 2009 9 relations: 6920 Fri Mar 6 15:40:18 2009 10+ relations: 21354 Fri Mar 6 15:40:18 2009 heaviest cycle: 16 relations Fri Mar 6 15:40:18 2009 matrix can improve, retrying Fri Mar 6 15:40:18 2009 reading rational ideals above 557056 Fri Mar 6 15:40:18 2009 reading algebraic ideals above 557056 Fri Mar 6 15:40:18 2009 commencing singleton removal, final pass Fri Mar 6 15:40:38 2009 keeping 1192907 ideals with weight <= 30, new excess is 126407 Fri Mar 6 15:40:39 2009 memory use: 34.0 MB Fri Mar 6 15:40:39 2009 commencing in-memory singleton removal Fri Mar 6 15:40:39 2009 begin with 1580117 relations and 1192907 unique ideals Fri Mar 6 15:40:40 2009 reduce to 1549968 relations and 1013915 ideals in 2 passes Fri Mar 6 15:40:40 2009 max relations containing the same ideal: 30 Fri Mar 6 15:40:40 2009 removing 537062 relations and 342352 ideals in 194710 cliques Fri Mar 6 15:40:41 2009 commencing in-memory singleton removal Fri Mar 6 15:40:41 2009 begin with 1012906 relations and 1013915 unique ideals Fri Mar 6 15:40:41 2009 reduce to 945360 relations and 594342 ideals in 6 passes Fri Mar 6 15:40:41 2009 max relations containing the same ideal: 27 Fri Mar 6 15:40:42 2009 removing 424587 relations and 233454 ideals in 191133 cliques Fri Mar 6 15:40:42 2009 commencing in-memory singleton removal Fri Mar 6 15:40:42 2009 begin with 520773 relations and 594342 unique ideals Fri Mar 6 15:40:42 2009 reduce to 469516 relations and 303031 ideals in 7 passes Fri Mar 6 15:40:42 2009 max relations containing the same ideal: 18 Fri Mar 6 15:40:42 2009 removing 68492 relations and 48640 ideals in 19852 cliques Fri Mar 6 15:40:42 2009 commencing in-memory singleton removal Fri Mar 6 15:40:43 2009 begin with 401024 relations and 303031 unique ideals Fri Mar 6 15:40:43 2009 reduce to 393653 relations and 246703 ideals in 6 passes Fri Mar 6 15:40:43 2009 max relations containing the same ideal: 16 Fri Mar 6 15:40:43 2009 relations with 0 large ideals: 26105 Fri Mar 6 15:40:43 2009 relations with 1 large ideals: 91713 Fri Mar 6 15:40:43 2009 relations with 2 large ideals: 139422 Fri Mar 6 15:40:43 2009 relations with 3 large ideals: 95927 Fri Mar 6 15:40:43 2009 relations with 4 large ideals: 32101 Fri Mar 6 15:40:43 2009 relations with 5 large ideals: 6784 Fri Mar 6 15:40:43 2009 relations with 6 large ideals: 1585 Fri Mar 6 15:40:43 2009 relations with 7+ large ideals: 16 Fri Mar 6 15:40:43 2009 commencing 2-way merge Fri Mar 6 15:40:43 2009 reduce to 303906 relation sets and 156956 unique ideals Fri Mar 6 15:40:43 2009 commencing full merge Fri Mar 6 15:40:45 2009 memory use: 10.6 MB Fri Mar 6 15:40:45 2009 found 151966 cycles, need 133107 Fri Mar 6 15:40:45 2009 weight of 133107 cycles is about 7916211 (59.47/cycle) Fri Mar 6 15:40:45 2009 distribution of cycle lengths: Fri Mar 6 15:40:45 2009 1 relations: 26429 Fri Mar 6 15:40:45 2009 2 relations: 14052 Fri Mar 6 15:40:45 2009 3 relations: 12599 Fri Mar 6 15:40:45 2009 4 relations: 11271 Fri Mar 6 15:40:45 2009 5 relations: 10883 Fri Mar 6 15:40:45 2009 6 relations: 9895 Fri Mar 6 15:40:45 2009 7 relations: 8963 Fri Mar 6 15:40:45 2009 8 relations: 7951 Fri Mar 6 15:40:45 2009 9 relations: 7092 Fri Mar 6 15:40:45 2009 10+ relations: 23972 Fri Mar 6 15:40:45 2009 heaviest cycle: 16 relations Fri Mar 6 15:40:45 2009 matrix can improve, retrying Fri Mar 6 15:40:45 2009 reading rational ideals above 557056 Fri Mar 6 15:40:45 2009 reading algebraic ideals above 557056 Fri Mar 6 15:40:45 2009 commencing singleton removal, final pass Fri Mar 6 15:41:06 2009 keeping 1197503 ideals with weight <= 35, new excess is 121811 Fri Mar 6 15:41:07 2009 memory use: 34.0 MB Fri Mar 6 15:41:07 2009 commencing in-memory singleton removal Fri Mar 6 15:41:07 2009 begin with 1580117 relations and 1197503 unique ideals Fri Mar 6 15:41:08 2009 reduce to 1549968 relations and 1018511 ideals in 2 passes Fri Mar 6 15:41:08 2009 max relations containing the same ideal: 35 Fri Mar 6 15:41:08 2009 removing 537798 relations and 342720 ideals in 195078 cliques Fri Mar 6 15:41:09 2009 commencing in-memory singleton removal Fri Mar 6 15:41:09 2009 begin with 1012170 relations and 1018511 unique ideals Fri Mar 6 15:41:09 2009 reduce to 944493 relations and 598396 ideals in 6 passes Fri Mar 6 15:41:09 2009 max relations containing the same ideal: 30 Fri Mar 6 15:41:10 2009 removing 424150 relations and 233182 ideals in 190968 cliques Fri Mar 6 15:41:10 2009 commencing in-memory singleton removal Fri Mar 6 15:41:10 2009 begin with 520343 relations and 598396 unique ideals Fri Mar 6 15:41:10 2009 reduce to 469090 relations and 307347 ideals in 7 passes Fri Mar 6 15:41:10 2009 max relations containing the same ideal: 20 Fri Mar 6 15:41:11 2009 removing 69957 relations and 49515 ideals in 20442 cliques Fri Mar 6 15:41:11 2009 commencing in-memory singleton removal Fri Mar 6 15:41:11 2009 begin with 399133 relations and 307347 unique ideals Fri Mar 6 15:41:11 2009 reduce to 391449 relations and 249810 ideals in 6 passes Fri Mar 6 15:41:11 2009 max relations containing the same ideal: 19 Fri Mar 6 15:41:11 2009 relations with 0 large ideals: 23355 Fri Mar 6 15:41:11 2009 relations with 1 large ideals: 84028 Fri Mar 6 15:41:11 2009 relations with 2 large ideals: 134661 Fri Mar 6 15:41:11 2009 relations with 3 large ideals: 100205 Fri Mar 6 15:41:11 2009 relations with 4 large ideals: 37834 Fri Mar 6 15:41:11 2009 relations with 5 large ideals: 9201 Fri Mar 6 15:41:11 2009 relations with 6 large ideals: 2124 Fri Mar 6 15:41:11 2009 relations with 7+ large ideals: 41 Fri Mar 6 15:41:11 2009 commencing 2-way merge Fri Mar 6 15:41:11 2009 reduce to 301917 relation sets and 160278 unique ideals Fri Mar 6 15:41:11 2009 commencing full merge Fri Mar 6 15:41:13 2009 memory use: 10.7 MB Fri Mar 6 15:41:13 2009 found 147593 cycles, need 130011 Fri Mar 6 15:41:13 2009 weight of 130011 cycles is about 8359711 (64.30/cycle) Fri Mar 6 15:41:13 2009 distribution of cycle lengths: Fri Mar 6 15:41:13 2009 1 relations: 23765 Fri Mar 6 15:41:13 2009 2 relations: 12632 Fri Mar 6 15:41:13 2009 3 relations: 11596 Fri Mar 6 15:41:13 2009 4 relations: 10671 Fri Mar 6 15:41:13 2009 5 relations: 10244 Fri Mar 6 15:41:13 2009 6 relations: 9368 Fri Mar 6 15:41:13 2009 7 relations: 8683 Fri Mar 6 15:41:13 2009 8 relations: 7701 Fri Mar 6 15:41:13 2009 9 relations: 7179 Fri Mar 6 15:41:13 2009 10+ relations: 28172 Fri Mar 6 15:41:13 2009 heaviest cycle: 18 relations Fri Mar 6 15:41:13 2009 commencing cycle optimization Fri Mar 6 15:41:14 2009 start with 765303 relations Fri Mar 6 15:41:15 2009 pruned 66696 relations Fri Mar 6 15:41:15 2009 memory use: 17.0 MB Fri Mar 6 15:41:15 2009 distribution of cycle lengths: Fri Mar 6 15:41:15 2009 1 relations: 23765 Fri Mar 6 15:41:15 2009 2 relations: 13466 Fri Mar 6 15:41:15 2009 3 relations: 12785 Fri Mar 6 15:41:15 2009 4 relations: 11950 Fri Mar 6 15:41:15 2009 5 relations: 11544 Fri Mar 6 15:41:15 2009 6 relations: 10687 Fri Mar 6 15:41:15 2009 7 relations: 9475 Fri Mar 6 15:41:15 2009 8 relations: 8477 Fri Mar 6 15:41:15 2009 9 relations: 7342 Fri Mar 6 15:41:15 2009 10+ relations: 20520 Fri Mar 6 15:41:15 2009 heaviest cycle: 17 relations Fri Mar 6 15:41:16 2009 RelProcTime: 221 Fri Mar 6 15:41:16 2009 Fri Mar 6 15:41:16 2009 commencing linear algebra Fri Mar 6 15:41:16 2009 read 130011 cycles Fri Mar 6 15:41:16 2009 cycles contain 333059 unique relations Fri Mar 6 15:41:19 2009 read 333059 relations Fri Mar 6 15:41:20 2009 using 20 quadratic characters above 66514674 Fri Mar 6 15:41:22 2009 building initial matrix Fri Mar 6 15:41:30 2009 memory use: 36.3 MB Fri Mar 6 15:41:30 2009 read 130011 cycles Fri Mar 6 15:41:31 2009 matrix is 129812 x 130011 (31.6 MB) with weight 10123002 (77.86/col) Fri Mar 6 15:41:31 2009 sparse part has weight 7368844 (56.68/col) Fri Mar 6 15:41:33 2009 filtering completed in 2 passes Fri Mar 6 15:41:33 2009 matrix is 129413 x 129612 (31.5 MB) with weight 10104954 (77.96/col) Fri Mar 6 15:41:33 2009 sparse part has weight 7358402 (56.77/col) Fri Mar 6 15:41:34 2009 read 129612 cycles Fri Mar 6 15:41:34 2009 matrix is 129413 x 129612 (31.5 MB) with weight 10104954 (77.96/col) Fri Mar 6 15:41:34 2009 sparse part has weight 7358402 (56.77/col) Fri Mar 6 15:41:34 2009 saving the first 48 matrix rows for later Fri Mar 6 15:41:34 2009 matrix is 129365 x 129612 (29.4 MB) with weight 7655401 (59.06/col) Fri Mar 6 15:41:34 2009 sparse part has weight 6916344 (53.36/col) Fri Mar 6 15:41:34 2009 matrix includes 64 packed rows Fri Mar 6 15:41:34 2009 using block size 51844 for processor cache size 2048 kB Fri Mar 6 15:41:35 2009 commencing Lanczos iteration Fri Mar 6 15:41:35 2009 memory use: 29.3 MB Fri Mar 6 15:43:37 2009 lanczos halted after 2047 iterations (dim = 129362) Fri Mar 6 15:43:38 2009 recovered 36 nontrivial dependencies Fri Mar 6 15:43:38 2009 BLanczosTime: 132 Fri Mar 6 15:43:38 2009 Fri Mar 6 15:43:38 2009 commencing square root phase Fri Mar 6 15:43:38 2009 reading relations for dependency 1 Fri Mar 6 15:43:38 2009 read 64856 cycles Fri Mar 6 15:43:38 2009 cycles contain 211230 unique relations Fri Mar 6 15:43:44 2009 read 211230 relations Fri Mar 6 15:43:45 2009 multiplying 166240 relations Fri Mar 6 15:43:54 2009 multiply complete, coefficients have about 4.36 million bits Fri Mar 6 15:43:54 2009 initial square root is modulo 104231 Fri Mar 6 15:44:13 2009 sqrtTime: 27 Fri Mar 6 15:44:13 2009 prp37 factor: 2718013478775412943759161342874328001 Fri Mar 6 15:44:13 2009 prp61 factor: 2052074083338351936368477625152429496333705580464085045253489 Fri Mar 6 15:44:13 2009 elapsed time 00:07:18``` `GGNFS (sieving), msieve v1.40-beta2 (postprocessing)` `Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10127+179

### c128

name 名前 Erik Branger March 6, 2009 16:55:12 UTC 2009 年 3 月 7 日 (土) 1 時 55 分 12 秒 (日本時間) `51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<128>` ```6599238864992473661867771888020943737578620316459510081053<58> 7745000924613357302214301740844777467164561254663784453622295281253021<70>``` ```Number: 51113_127 N=51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 ( 128 digits) SNFS difficulty: 129 digits. Divisors found: r1=6599238864992473661867771888020943737578620316459510081053 r2=7745000924613357302214301740844777467164561254663784453622295281253021 Version: Total time: 2.86 hours. Scaled time: 2.84 units (timescale=0.995). Factorization parameters were as follows: n: 51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 m: 20000000000000000000000000 deg: 5 c5: 575 c0: 68 skew: 0.65 type: snfs lss: 1 rlim: 1000000 alim: 1000000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [500000, 900001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 132565 x 132813 Total sieving time: 2.86 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,129,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000 total time: 2.86 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10128+179

### c105

name 名前 Ignacio Santos March 6, 2009 18:04:49 UTC 2009 年 3 月 7 日 (土) 3 時 4 分 49 秒 (日本時間) `131297919127251267690339352393994188785077492024334806689386353399493233465038256753629303186449568944557<105>` ```86754520556469833455200256325953<32> 5542838338358103983727907338142633<34> 273044552898454950594350745066450950693<39>``` ```Number: 51113_128 N=131297919127251267690339352393994188785077492024334806689386353399493233465038256753629303186449568944557 ( 105 digits) SNFS difficulty: 131 digits. Divisors found: r1=86754520556469833455200256325953 (pp32) r2=5542838338358103983727907338142633 (pp34) r3=273044552898454950594350745066450950693 (pp39) Version: Msieve-1.39 Total time: 2.08 hours. Scaled time: 2.43 units (timescale=1.170). Factorization parameters were as follows: n: 131297919127251267690339352393994188785077492024334806689386353399493233465038256753629303186449568944557 m: 50000000000000000000000000 deg: 5 c5: 368 c0: 425 skew: 1.03 type: snfs lss: 1 rlim: 1070000 alim: 1070000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3Factor base limits: 1070000/1070000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved rational special-q in [535000, 935001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 161969 x 162217 Total sieving time: 2.08 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,131,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000 total time: 2.08 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10130+179

### c87

name 名前 Ignacio Santos March 6, 2009 17:52:08 UTC 2009 年 3 月 7 日 (土) 2 時 52 分 8 秒 (日本時間) `187474108665317042616501734125735600581889023212579579612019036645896104785475882858181<87>` ```13747478299743188012769630624319808854561<41> 13636981603296597526680098271187326870062608421<47>``` ```Fri Mar 06 18:22:58 2009 Fri Mar 06 18:22:58 2009 Fri Mar 06 18:22:58 2009 Msieve v. 1.40 Fri Mar 06 18:22:58 2009 random seeds: 0010f447 0021e88e Fri Mar 06 18:22:58 2009 factoring 187474108665317042616501734125735600581889023212579579612019036645896104785475882858181 (87 digits) Fri Mar 06 18:22:59 2009 searching for 15-digit factors Fri Mar 06 18:23:00 2009 commencing quadratic sieve (87-digit input) Fri Mar 06 18:23:00 2009 using multiplier of 5 Fri Mar 06 18:23:00 2009 using 32kb Intel Core sieve core Fri Mar 06 18:23:00 2009 sieve interval: 19 blocks of size 32768 Fri Mar 06 18:23:00 2009 processing polynomials in batches of 11 Fri Mar 06 18:23:00 2009 using a sieve bound of 1478933 (56333 primes) Fri Mar 06 18:23:00 2009 using large prime bound of 118314640 (26 bits) Fri Mar 06 18:23:00 2009 using double large prime bound of 339992380628560 (41-49 bits) Fri Mar 06 18:23:00 2009 using trial factoring cutoff of 49 bits Fri Mar 06 18:23:00 2009 polynomial 'A' values have 11 factors Fri Mar 06 18:48:15 2009 56602 relations (16793 full + 39809 combined from 580979 partial), need 56429 Fri Mar 06 18:48:15 2009 begin with 597772 relations Fri Mar 06 18:48:15 2009 reduce to 131917 relations in 11 passes Fri Mar 06 18:48:15 2009 attempting to read 131917 relations Fri Mar 06 18:48:17 2009 recovered 131917 relations Fri Mar 06 18:48:17 2009 recovered 104390 polynomials Fri Mar 06 18:48:17 2009 attempting to build 56602 cycles Fri Mar 06 18:48:17 2009 found 56602 cycles in 5 passes Fri Mar 06 18:48:17 2009 distribution of cycle lengths: Fri Mar 06 18:48:17 2009 length 1 : 16793 Fri Mar 06 18:48:17 2009 length 2 : 11564 Fri Mar 06 18:48:17 2009 length 3 : 10042 Fri Mar 06 18:48:17 2009 length 4 : 7084 Fri Mar 06 18:48:17 2009 length 5 : 4903 Fri Mar 06 18:48:17 2009 length 6 : 2853 Fri Mar 06 18:48:17 2009 length 7 : 1626 Fri Mar 06 18:48:17 2009 length 9+: 1737 Fri Mar 06 18:48:17 2009 largest cycle: 17 relations Fri Mar 06 18:48:17 2009 matrix is 56333 x 56602 (12.7 MB) with weight 3113120 (55.00/col) Fri Mar 06 18:48:17 2009 sparse part has weight 3113120 (55.00/col) Fri Mar 06 18:48:18 2009 filtering completed in 3 passes Fri Mar 06 18:48:18 2009 matrix is 50734 x 50797 (11.6 MB) with weight 2826636 (55.65/col) Fri Mar 06 18:48:18 2009 sparse part has weight 2826636 (55.65/col) Fri Mar 06 18:48:18 2009 saving the first 48 matrix rows for later Fri Mar 06 18:48:18 2009 matrix is 50686 x 50797 (7.4 MB) with weight 2216417 (43.63/col) Fri Mar 06 18:48:18 2009 sparse part has weight 1642296 (32.33/col) Fri Mar 06 18:48:18 2009 matrix includes 64 packed rows Fri Mar 06 18:48:18 2009 using block size 20318 for processor cache size 4096 kB Fri Mar 06 18:48:18 2009 commencing Lanczos iteration Fri Mar 06 18:48:18 2009 memory use: 7.3 MB Fri Mar 06 18:48:28 2009 lanczos halted after 803 iterations (dim = 50680) Fri Mar 06 18:48:29 2009 recovered 14 nontrivial dependencies Fri Mar 06 18:48:29 2009 prp41 factor: 13747478299743188012769630624319808854561 Fri Mar 06 18:48:29 2009 prp47 factor: 13636981603296597526680098271187326870062608421 Fri Mar 06 18:48:29 2009 elapsed time 00:25:02``` `Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10138+179

### c126

name 名前 Serge Batalov March 6, 2009 17:48:54 UTC 2009 年 3 月 7 日 (土) 2 時 48 分 54 秒 (日本時間) `458641541394042685813084629403334632456415679454516215582051842802618842043920225312037181506797546042216855028784511554005407<126>` ```2995443894178877333175966911<28> 153113046879406592655362075559329006950987502421523034157252675103445336866089598291005284520872737<99>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1492474375 Step 1 took 8777ms Step 2 took 8525ms ********** Factor found in step 2: 2995443894178877333175966911 Found probable prime factor of 28 digits: 2995443894178877333175966911 Probable prime cofactor has 99 digits``` `GMP-ECM 6.2.2`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10142+179

### c109

name 名前 Sinkiti Sibata March 9, 2009 02:34:14 UTC 2009 年 3 月 9 日 (月) 11 時 34 分 14 秒 (日本時間) `2518251121551633601419087702525546323870542114736815313608600828242439007408590192176793239962892307214821747<109>` ```3253898913398857863840646050922281096920564879<46> 773918056022581270276301143282161876126995043437065725389072093<63>``` ```Number: 51113_142 N=2518251121551633601419087702525546323870542114736815313608600828242439007408590192176793239962892307214821747 ( 109 digits) SNFS difficulty: 144 digits. Divisors found: r1=3253898913398857863840646050922281096920564879 (pp46) r2=773918056022581270276301143282161876126995043437065725389072093 (pp63) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 15.98 hours. Scaled time: 7.53 units (timescale=0.471). Factorization parameters were as follows: name: 51113_142 n: 2518251121551633601419087702525546323870542114736815313608600828242439007408590192176793239962892307214821747 m: 20000000000000000000000000000 deg: 5 c5: 575 c0: 68 skew: 0.65 type: snfs lss: 1 rlim: 1780000 alim: 1780000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1780000/1780000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [890000, 2090001) Primes: RFBsize:133671, AFBsize:133292, largePrimes:3844978 encountered Relations: rels:3887227, finalFF:322419 Max relations in full relation-set: 28 Initial matrix: 267030 x 322419 with sparse part having weight 29853912. Pruned matrix : 247373 x 248772 with weight 20147298. Total sieving time: 14.09 hours. Total relation processing time: 0.19 hours. Matrix solve time: 1.62 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,144,5,0,0,0,0,0,0,0,0,1780000,1780000,26,26,49,49,2.3,2.3,100000 total time: 15.98 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10143+179

### c130

name 名前 Sinkiti Sibata March 10, 2009 04:33:22 UTC 2009 年 3 月 10 日 (火) 13 時 33 分 22 秒 (日本時間) `5848849575482404980903607610112559837740405564754665231895575593151694941823586596327909534403255257458667454847960312051623509291<130>` ```139623054636055338710939135384408668661<39> 41890285173377352541316306659022432235174853079005378363036811052955504759851453668960732831<92>``` ```Number: 51113_143 N=5848849575482404980903607610112559837740405564754665231895575593151694941823586596327909534403255257458667454847960312051623509291 ( 130 digits) SNFS difficulty: 146 digits. Divisors found: r1=139623054636055338710939135384408668661 (pp39) r2=41890285173377352541316306659022432235174853079005378363036811052955504759851453668960732831 (pp92) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 19.94 hours. Scaled time: 9.39 units (timescale=0.471). Factorization parameters were as follows: name: 51113_143 n: 5848849575482404980903607610112559837740405564754665231895575593151694941823586596327909534403255257458667454847960312051623509291 m: 50000000000000000000000000000 deg: 5 c5: 368 c0: 425 skew: 1.03 type: snfs lss: 1 rlim: 1900000 alim: 1900000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1900000/1900000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [950000, 2450001) Primes: RFBsize:142029, AFBsize:142512, largePrimes:4151889 encountered Relations: rels:4321208, finalFF:386100 Max relations in full relation-set: 28 Initial matrix: 284608 x 386100 with sparse part having weight 39663465. Pruned matrix : 250533 x 252020 with weight 23269867. Total sieving time: 17.80 hours. Total relation processing time: 0.23 hours. Matrix solve time: 1.83 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000 total time: 19.94 hours. --------- CPU info (if available) ----------``` `Pentium 4 3.06GHz, Windows XP and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10144+179

### c118

name 名前 Sinkiti Sibata March 10, 2009 23:52:12 UTC 2009 年 3 月 11 日 (水) 8 時 52 分 12 秒 (日本時間) `5701419781155083271333386525485811005817385766910918648397290166476505121632518945836340115783145510877303515223800157<118>` ```137650711667873379471304368018035611255346407634131777<54> 41419471879750193306941692642248802022013014694168758886515974941<65>``` ```Number: 51113_144 N=5701419781155083271333386525485811005817385766910918648397290166476505121632518945836340115783145510877303515223800157 ( 118 digits) SNFS difficulty: 146 digits. Divisors found: r1=137650711667873379471304368018035611255346407634131777 (pp54) r2=41419471879750193306941692642248802022013014694168758886515974941 (pp65) Version: GGNFS-0.77.1-20050930-pentium4 Total time: 16.67 hours. Scaled time: 7.84 units (timescale=0.470). Factorization parameters were as follows: name: 51113_144 n: 5701419781155083271333386525485811005817385766910918648397290166476505121632518945836340115783145510877303515223800157 m: 100000000000000000000000000000 deg: 5 c5: 23 c0: 85 skew: 1.30 type: snfs lss: 1 rlim: 1930000 alim: 1930000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1930000/1930000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [965000, 2165001) Primes: RFBsize:144125, AFBsize:143987, largePrimes:4038730 encountered Relations: rels:4137598, finalFF:378490 Max relations in full relation-set: 28 Initial matrix: 288177 x 378490 with sparse part having weight 34073323. Pruned matrix : 255568 x 257072 with weight 19711452. Total sieving time: 14.69 hours. Total relation processing time: 0.19 hours. Matrix solve time: 1.70 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000 total time: 16.67 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10145+179

### c113

name 名前 Max Dettweiler March 7, 2009 11:59:13 UTC 2009 年 3 月 7 日 (土) 20 時 59 分 13 秒 (日本時間) `51734907808882951637333473963353371587253719697383137652805531581141899550195669462548918187805945701871983590803<113>` ```151187449087050159689435421843968531441609<42> 342190493465467590083868747754619291085634754952297946010802975078867067<72>``` ```Number: 51113_145 N=51734907808882951637333473963353371587253719697383137652805531581141899550195669462548918187805945701871983590803 ( 113 digits) SNFS difficulty: 146 digits. Divisors found: r1=151187449087050159689435421843968531441609 (pp42) r2=342190493465467590083868747754619291085634754952297946010802975078867067 (pp72) Version: Msieve-1.40beta2 Total time: 8.92 hours. Scaled time: 14.67 units (timescale=1.644). Factorization parameters were as follows: n: 51734907808882951637333473963353371587253719697383137652805531581141899550195669462548918187805945701871983590803 m: 100000000000000000000000000000 deg: 5 c5: 46 c0: 17 skew: 0.82 type: snfs lss: 1 rlim: 1950000 alim: 1950000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.3 alambda: 2.3 Factor base limits: 1950000/1950000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved rational special-q in [975000, 2175001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 332083 x 332331 Total sieving time: 8.92 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000 total time: 8.92 hours. --------- CPU info (if available) ---------- [ 0.371537] CPU0: Intel(R) Core(TM)2 Duo CPU E4500 @ 2.20GHz stepping 0d [ 0.456480] CPU1: Intel(R) Core(TM)2 Duo CPU E4500 @ 2.20GHz stepping 0d [ 0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem) [ 0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.13 BogoMIPS (lpj=8800276) [ 0.004000] Calibrating delay using timer specific routine.. 4400.40 BogoMIPS (lpj=8800811) [ 0.460049] Total of 2 processors activated (8800.54 BogoMIPS).``` `GGNFS (sieving), msieve v1.40beta2 (postprocessing), via factMsieve.pl` `Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10149+179

### c132

name 名前 Ignacio Santos March 8, 2009 15:50:14 UTC 2009 年 3 月 9 日 (月) 0 時 50 分 14 秒 (日本時間) `931954845842757379712167151150040856218413162686610932846537310731272241905042886757291832003286399733437061941542968128409598328469<132>` ```196402249692752872132715270377448801991427612454686894648603854373<66> 4745133252295663327826221303086537424769467238293624817207646507953<67>``` ```Number: 51113_149 N=931954845842757379712167151150040856218413162686610932846537310731272241905042886757291832003286399733437061941542968128409598328469 ( 132 digits) SNFS difficulty: 151 digits. Divisors found: r1=196402249692752872132715270377448801991427612454686894648603854373 (pp66) r2=4745133252295663327826221303086537424769467238293624817207646507953 (pp67) Version: Msieve-1.39 Total time: 13.09 hours. Scaled time: 33.66 units (timescale=2.571). Factorization parameters were as follows: n: 931954845842757379712167151150040856218413162686610932846537310731272241905042886757291832003286399733437061941542968128409598328469 m: 1000000000000000000000000000000 deg: 5 c5: 23 c0: 85 skew: 1.30 type: snfs lss: 1 rlim: 2300000 alim: 2300000 lpbr: 27 lpba: 27 mfbr: 49 mfba: 49 rlambda: 2.4 alambda: 2.4 Factor base limits: 2300000/2300000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 49/49 Sieved rational special-q in [1150000, 1850001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 357966 x 358214 Total sieving time: 13.09 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000 total time: 13.09 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10150+179

### c135

name 名前 Serge Batalov March 7, 2009 07:04:06 UTC 2009 年 3 月 7 日 (土) 16 時 4 分 6 秒 (日本時間) `572707485647797938116353541234240131287691440561653408719273477869397873381688181445930446824002231787050923633876171146638813654874437<135>` `12927026782792133527436421144607<32>` `44303109699607022872926009371300736105651392884345897886736800768893549967713945190056822343455756593691<104>` ```Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=643304458 Step 1 took 136340ms Step 2 took 89838ms ********** Factor found in step 2: 12927026782792133527436421144607 Found probable prime factor of 32 digits: 12927026782792133527436421144607 Composite cofactor has 104 digits``` `GMP-ECM 6.2.2`

### c104

name 名前 Max Dettweiler March 7, 2009 23:35:42 UTC 2009 年 3 月 8 日 (日) 8 時 35 分 42 秒 (日本時間) `44303109699607022872926009371300736105651392884345897886736800768893549967713945190056822343455756593691<104>` ```215277725831553129790685239591654012757177<42> 205795139875606871141235190127379148672452160595173895881524083<63>``` ```Sat Mar 7 17:47:25 2009 Msieve v. 1.40 Sat Mar 7 17:47:25 2009 random seeds: 5be9bc6a a4db309b Sat Mar 7 17:47:25 2009 factoring 44303109699607022872926009371300736105651392884345897886736800768893549967713945190056822343455756593691 (104 digits) Sat Mar 7 17:47:26 2009 no P-1/P+1/ECM available, skipping Sat Mar 7 17:47:26 2009 commencing number field sieve (104-digit input) Sat Mar 7 17:47:26 2009 R0: -205803718671706643940 Sat Mar 7 17:47:26 2009 R1: 45109791671 Sat Mar 7 17:47:26 2009 A0: -16910212684373235259751719 Sat Mar 7 17:47:26 2009 A1: -671274074771843691581 Sat Mar 7 17:47:26 2009 A2: 68600220111545809 Sat Mar 7 17:47:26 2009 A3: 630091046276 Sat Mar 7 17:47:26 2009 A4: -16543905 Sat Mar 7 17:47:26 2009 A5: 120 Sat Mar 7 17:47:26 2009 skew 49338.29, size 6.783315e-10, alpha -4.664099, combined = 2.157279e-09 Sat Mar 7 17:47:26 2009 Sat Mar 7 17:47:26 2009 commencing relation filtering Sat Mar 7 17:47:26 2009 commencing duplicate removal, pass 1 Sat Mar 7 17:48:04 2009 found 350324 hash collisions in 4485313 relations Sat Mar 7 17:48:21 2009 added 608 free relations Sat Mar 7 17:48:21 2009 commencing duplicate removal, pass 2 Sat Mar 7 17:48:25 2009 found 333640 duplicates and 4152281 unique relations Sat Mar 7 17:48:25 2009 memory use: 40.3 MB Sat Mar 7 17:48:25 2009 reading rational ideals above 1638400 Sat Mar 7 17:48:25 2009 reading algebraic ideals above 1638400 Sat Mar 7 17:48:25 2009 commencing singleton removal, pass 1 Sat Mar 7 17:49:00 2009 relations with 0 large ideals: 46830 Sat Mar 7 17:49:00 2009 relations with 1 large ideals: 383631 Sat Mar 7 17:49:00 2009 relations with 2 large ideals: 1185742 Sat Mar 7 17:49:00 2009 relations with 3 large ideals: 1588216 Sat Mar 7 17:49:00 2009 relations with 4 large ideals: 815270 Sat Mar 7 17:49:00 2009 relations with 5 large ideals: 98913 Sat Mar 7 17:49:00 2009 relations with 6 large ideals: 33676 Sat Mar 7 17:49:00 2009 relations with 7+ large ideals: 3 Sat Mar 7 17:49:00 2009 4152281 relations and about 4324405 large ideals Sat Mar 7 17:49:00 2009 commencing singleton removal, pass 2 Sat Mar 7 17:49:38 2009 found 1958944 singletons Sat Mar 7 17:49:38 2009 current dataset: 2193337 relations and about 1929600 large ideals Sat Mar 7 17:49:38 2009 commencing singleton removal, pass 3 Sat Mar 7 17:49:58 2009 found 473190 singletons Sat Mar 7 17:49:58 2009 current dataset: 1720147 relations and about 1414479 large ideals Sat Mar 7 17:49:58 2009 commencing singleton removal, final pass Sat Mar 7 17:50:17 2009 memory use: 33.3 MB Sat Mar 7 17:50:17 2009 commencing in-memory singleton removal Sat Mar 7 17:50:17 2009 begin with 1720147 relations and 1452587 unique ideals Sat Mar 7 17:50:19 2009 reduce to 1355162 relations and 1074705 ideals in 15 passes Sat Mar 7 17:50:19 2009 max relations containing the same ideal: 53 Sat Mar 7 17:50:20 2009 reading rational ideals above 720000 Sat Mar 7 17:50:20 2009 reading algebraic ideals above 720000 Sat Mar 7 17:50:20 2009 commencing singleton removal, final pass Sat Mar 7 17:50:36 2009 keeping 1159198 ideals with weight <= 20, new excess is 167390 Sat Mar 7 17:50:37 2009 memory use: 33.9 MB Sat Mar 7 17:50:37 2009 commencing in-memory singleton removal Sat Mar 7 17:50:37 2009 begin with 1355770 relations and 1159198 unique ideals Sat Mar 7 17:50:38 2009 reduce to 1352754 relations and 1153168 ideals in 10 passes Sat Mar 7 17:50:38 2009 max relations containing the same ideal: 20 Sat Mar 7 17:50:39 2009 relations with 0 large ideals: 20819 Sat Mar 7 17:50:39 2009 relations with 1 large ideals: 135377 Sat Mar 7 17:50:39 2009 relations with 2 large ideals: 361336 Sat Mar 7 17:50:39 2009 relations with 3 large ideals: 468155 Sat Mar 7 17:50:39 2009 relations with 4 large ideals: 285605 Sat Mar 7 17:50:39 2009 relations with 5 large ideals: 71003 Sat Mar 7 17:50:39 2009 relations with 6 large ideals: 10069 Sat Mar 7 17:50:39 2009 relations with 7+ large ideals: 390 Sat Mar 7 17:50:39 2009 commencing 2-way merge Sat Mar 7 17:50:40 2009 reduce to 747235 relation sets and 547805 unique ideals Sat Mar 7 17:50:40 2009 ignored 156 oversize relation sets Sat Mar 7 17:50:40 2009 commencing full merge Sat Mar 7 17:50:48 2009 memory use: 34.0 MB Sat Mar 7 17:50:48 2009 found 311219 cycles, need 292005 Sat Mar 7 17:50:48 2009 weight of 292005 cycles is about 20642731 (70.69/cycle) Sat Mar 7 17:50:48 2009 distribution of cycle lengths: Sat Mar 7 17:50:48 2009 1 relations: 35474 Sat Mar 7 17:50:48 2009 2 relations: 29215 Sat Mar 7 17:50:48 2009 3 relations: 29093 Sat Mar 7 17:50:48 2009 4 relations: 26887 Sat Mar 7 17:50:48 2009 5 relations: 24684 Sat Mar 7 17:50:48 2009 6 relations: 21474 Sat Mar 7 17:50:48 2009 7 relations: 19536 Sat Mar 7 17:50:48 2009 8 relations: 16873 Sat Mar 7 17:50:48 2009 9 relations: 14629 Sat Mar 7 17:50:48 2009 10+ relations: 74140 Sat Mar 7 17:50:48 2009 heaviest cycle: 21 relations Sat Mar 7 17:50:48 2009 commencing cycle optimization Sat Mar 7 17:50:49 2009 start with 1939747 relations Sat Mar 7 17:50:53 2009 pruned 57961 relations Sat Mar 7 17:50:53 2009 memory use: 50.5 MB Sat Mar 7 17:50:53 2009 distribution of cycle lengths: Sat Mar 7 17:50:53 2009 1 relations: 35474 Sat Mar 7 17:50:53 2009 2 relations: 30041 Sat Mar 7 17:50:53 2009 3 relations: 30255 Sat Mar 7 17:50:53 2009 4 relations: 27709 Sat Mar 7 17:50:53 2009 5 relations: 25469 Sat Mar 7 17:50:53 2009 6 relations: 22072 Sat Mar 7 17:50:53 2009 7 relations: 19928 Sat Mar 7 17:50:53 2009 8 relations: 16959 Sat Mar 7 17:50:53 2009 9 relations: 14701 Sat Mar 7 17:50:53 2009 10+ relations: 69397 Sat Mar 7 17:50:53 2009 heaviest cycle: 21 relations Sat Mar 7 17:50:53 2009 RelProcTime: 191 Sat Mar 7 17:50:53 2009 Sat Mar 7 17:50:53 2009 commencing linear algebra Sat Mar 7 17:50:54 2009 read 292005 cycles Sat Mar 7 17:50:54 2009 cycles contain 1060412 unique relations Sat Mar 7 17:51:04 2009 read 1060412 relations Sat Mar 7 17:51:05 2009 using 20 quadratic characters above 67107098 Sat Mar 7 17:51:12 2009 building initial matrix Sat Mar 7 17:51:34 2009 memory use: 114.4 MB Sat Mar 7 17:51:34 2009 read 292005 cycles Sat Mar 7 17:51:36 2009 matrix is 291468 x 292005 (82.3 MB) with weight 27886129 (95.50/col) Sat Mar 7 17:51:36 2009 sparse part has weight 19524201 (66.86/col) Sat Mar 7 17:51:43 2009 filtering completed in 3 passes Sat Mar 7 17:51:43 2009 matrix is 287466 x 287666 (81.2 MB) with weight 27492798 (95.57/col) Sat Mar 7 17:51:43 2009 sparse part has weight 19277016 (67.01/col) Sat Mar 7 17:51:47 2009 read 287666 cycles Sat Mar 7 17:51:47 2009 matrix is 287466 x 287666 (81.2 MB) with weight 27492798 (95.57/col) Sat Mar 7 17:51:47 2009 sparse part has weight 19277016 (67.01/col) Sat Mar 7 17:51:47 2009 saving the first 48 matrix rows for later Sat Mar 7 17:51:47 2009 matrix is 287418 x 287666 (78.4 MB) with weight 21745986 (75.59/col) Sat Mar 7 17:51:47 2009 sparse part has weight 18816033 (65.41/col) Sat Mar 7 17:51:47 2009 matrix includes 64 packed rows Sat Mar 7 17:51:47 2009 using block size 65536 for processor cache size 2048 kB Sat Mar 7 17:51:49 2009 commencing Lanczos iteration Sat Mar 7 17:51:49 2009 memory use: 76.1 MB Sat Mar 7 18:04:53 2009 lanczos halted after 4547 iterations (dim = 287417) Sat Mar 7 18:04:54 2009 recovered 33 nontrivial dependencies Sat Mar 7 18:04:54 2009 BLanczosTime: 819 Sat Mar 7 18:04:54 2009 Sat Mar 7 18:04:54 2009 commencing square root phase Sat Mar 7 18:04:54 2009 reading relations for dependency 1 Sat Mar 7 18:04:54 2009 read 144047 cycles Sat Mar 7 18:04:55 2009 cycles contain 647455 unique relations Sat Mar 7 18:05:01 2009 read 647455 relations Sat Mar 7 18:05:04 2009 multiplying 527798 relations Sat Mar 7 18:05:53 2009 multiply complete, coefficients have about 18.48 million bits Sat Mar 7 18:05:54 2009 initial square root is modulo 204107 Sat Mar 7 18:07:25 2009 sqrtTime: 137 Sat Mar 7 18:07:25 2009 prp42 factor: 215277725831553129790685239591654012757177 Sat Mar 7 18:07:25 2009 prp63 factor: 205795139875606871141235190127379148672452160595173895881524083 Sat Mar 7 18:07:25 2009 elapsed time 00:20:00``` `GGNFS (sieving), msieve v1.40beta2 (postprocessing)` `Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit + Core 2 Quad Q6600 (2.8Ghz), Windows Vista 32-bit`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10151+179

### c141

name 名前 Ignacio Santos March 8, 2009 21:42:05 UTC 2009 年 3 月 9 日 (月) 6 時 42 分 5 秒 (日本時間) `281728483297528288628543635323252275165617448625794641793103989907614506221161628367059228669427524783995179771689025780827272937745212100439<141>` ```8172175016707545457583974190335930691504416901869276777808732983<64> 34474112793907433702099859827871212701283307072048202180063531357502611064033<77>``` ```Number: 51113_151 N=281728483297528288628543635323252275165617448625794641793103989907614506221161628367059228669427524783995179771689025780827272937745212100439 ( 141 digits) SNFS difficulty: 153 digits. Divisors found: r1=8172175016707545457583974190335930691504416901869276777808732983 (pp64) r2=34474112793907433702099859827871212701283307072048202180063531357502611064033 (pp77) Version: Msieve-1.39 Total time: 18.05 hours. Scaled time: 46.41 units (timescale=2.571). Factorization parameters were as follows: n: 281728483297528288628543635323252275165617448625794641793103989907614506221161628367059228669427524783995179771689025780827272937745212100439 m: 2000000000000000000000000000000 deg: 5 c5: 115 c0: 136 skew: 1.03 type: snfs lss: 1 rlim: 2500000 alim: 2500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved rational special-q in [1250000, 2250001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 484060 x 484308 Total sieving time: 18.05 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000 total time: 18.05 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10153+179

### c147

name 名前 Serge Batalov March 7, 2009 17:58:56 UTC 2009 年 3 月 8 日 (日) 2 時 58 分 56 秒 (日本時間) `865697676202081916341498386800609669470416786194109405329118213708875996392148475883723477869652766591928727938376929397819002677508814919539140949<147>` `1168853512068217384515790254569897<34>` `740638298352956917629241927420886535153044207773338129179800117727688945646884036097074009882338060886955895879117<114>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3675542085 Step 1 took 10717ms Step 2 took 10124ms ********** Factor found in step 2: 1168853512068217384515790254569897 Found probable prime factor of 34 digits: 1168853512068217384515790254569897 Composite cofactor has 114 digits``` `6.2.2`

### c114

name 名前 Robert Backstrom March 9, 2009 07:57:09 UTC 2009 年 3 月 9 日 (月) 16 時 57 分 9 秒 (日本時間) `740638298352956917629241927420886535153044207773338129179800117727688945646884036097074009882338060886955895879117<114>` ```196490224292758436049630492490170845480502019<45> 3769339166967671013328223086443654127269835499673885309638515657941743<70>``` ```GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM] Input number is 740638298352956917629241927420886535153044207773338129179800117727688945646884036097074009882338060886955895879117 (114 digits) Using B1=3000000, B2=4016636513, polynomial Dickson(6), sigma=1271141060 Step 1 took 31279ms Step 2 took 14671ms ********** Factor found in step 2: 196490224292758436049630492490170845480502019 Found probable prime factor of 45 digits: 196490224292758436049630492490170845480502019 Probable prime cofactor 3769339166967671013328223086443654127269835499673885309638515657941743 has 70 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10160+179

### c112

name 名前 Max Dettweiler March 9, 2009 22:27:58 UTC 2009 年 3 月 10 日 (火) 7 時 27 分 58 秒 (日本時間) `2333036685380856739826065847758746702938037939625502537307957298158902603241338377544987477719833473532798856159<112>` ```69421810469250964905352073912281382114825982371<47> 33606681669793526544589443702103712368855493759521473358763489429<65>``` ```Number: 51113_160 N=2333036685380856739826065847758746702938037939625502537307957298158902603241338377544987477719833473532798856159 ( 112 digits) Divisors found: r1=69421810469250964905352073912281382114825982371 (pp47) r2=33606681669793526544589443702103712368855493759521473358763489429 (pp65) Version: Msieve-1.40beta2 Total time: 22.62 hours. Scaled time: 36.91 units (timescale=1.632). Factorization parameters were as follows: n: 2333036685380856739826065847758746702938037939625502537307957298158902603241338377544987477719833473532798856159 Y0: -3076877135434206027874 Y1: 294082766161 c0: -51400975692427172720771409 c1: 63166927505729826659688 c2: -278627879419892472 c3: -51454969560080 c4: 88080333 c5: 8460 skew: 49144.96 type: gnfs Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1750000, 2550001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 385651 x 385899 Total sieving time: 22.62 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 22.62 hours. --------- CPU info (if available) ---------- [ 0.367147] CPU0: Intel(R) Core(TM)2 Duo CPU E4500 @ 2.20GHz stepping 0d [ 0.452481] CPU1: Intel(R) Core(TM)2 Duo CPU E4500 @ 2.20GHz stepping 0d [ 0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem) [ 0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.13 BogoMIPS (lpj=8800276) [ 0.004000] Calibrating delay using timer specific routine.. 4400.40 BogoMIPS (lpj=8800811) [ 0.456049] Total of 2 processors activated (8800.54 BogoMIPS).``` `GGNFS (sieving) + msieve 1.40beta2 (postprocessing) w/factMsieve.pl` `Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10163+179

### c125

name 名前 Ignacio Santos March 10, 2009 23:29:24 UTC 2009 年 3 月 11 日 (水) 8 時 29 分 24 秒 (日本時間) `45832614003609986015505277560643422175904489813533037778187090635645628988225589864451526185487048322758261220754908397166921<125>` ```2901428838271710072989478722772703305541<40> 15796566642975477222426106514151356215220954988925611533724771019602789181077878704181<86>``` ```Number: 51113_163 N=45832614003609986015505277560643422175904489813533037778187090635645628988225589864451526185487048322758261220754908397166921 ( 125 digits) SNFS difficulty: 166 digits. Divisors found: r1=2901428838271710072989478722772703305541 (pp40) r2=15796566642975477222426106514151356215220954988925611533724771019602789181077878704181 (pp86) Version: Msieve-1.39 Total time: 42.88 hours. Scaled time: 110.25 units (timescale=2.571). Factorization parameters were as follows: n: 45832614003609986015505277560643422175904489813533037778187090635645628988225589864451526185487048322758261220754908397166921 m: 500000000000000000000000000000000 deg: 5 c5: 368 c0: 425 skew: 1.03 type: snfs lss: 1 rlim: 4100000 alim: 4100000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4Factor base limits: 4100000/4100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [2050000, 4250001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 762163 x 762411 Total sieving time: 42.88 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000 total time: 42.88 hours. --------- CPU info (if available) ----------``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10164+179

### c89

name 名前 Ignacio Santos March 6, 2009 19:12:33 UTC 2009 年 3 月 7 日 (土) 4 時 12 分 33 秒 (日本時間) `59623330778132327923866078409993846933798124893348604036533381388770126581603759352316741<89>` ```63196433917841945793059806729903<32> 943460367647408648898474271030755521492481831856147907147<57>``` ```03/06/09 19:22:06 v1.06 @ IGNACIO1, starting SIQS on c89: 59623330778132327923866078409993846933798124893348604036533381388770126581603759352316741 03/06/09 19:22:06 v1.06 @ IGNACIO1, ==== sieve params ==== 03/06/09 19:22:06 v1.06 @ IGNACIO1, n = 89 digits, 298 bits 03/06/09 19:22:06 v1.06 @ IGNACIO1, factor base: 63461 primes (max prime = 1684867) 03/06/09 19:22:06 v1.06 @ IGNACIO1, single large prime cutoff: 185335370 (110 * pmax) 03/06/09 19:22:06 v1.06 @ IGNACIO1, double large prime range from 43 to 50 bits 03/06/09 19:22:06 v1.06 @ IGNACIO1, double large prime cutoff: 762649442103813 03/06/09 19:22:06 v1.06 @ IGNACIO1, using 10 large prime slices of factor base 03/06/09 19:22:06 v1.06 @ IGNACIO1, buckets hold 1024 elements 03/06/09 19:22:06 v1.06 @ IGNACIO1, sieve interval: 18 blocks of size 32768 03/06/09 19:22:06 v1.06 @ IGNACIO1, polynomial A has ~ 12 factors 03/06/09 19:22:06 v1.06 @ IGNACIO1, using multiplier of 5 03/06/09 19:22:06 v1.06 @ IGNACIO1, using small prime variation correction of 22 bits 03/06/09 19:22:06 v1.06 @ IGNACIO1, trial factoring cutoff at 99 bits 03/06/09 19:22:06 v1.06 @ IGNACIO1, ==== sieving started ==== 03/06/09 20:10:54 v1.06 @ IGNACIO1, sieve time = 964.0200, relation time = 483.0980, poly_time = 1477.0580 03/06/09 20:10:54 v1.06 @ IGNACIO1, 63569 relations found: 22378 full + 41191 from 525403 partial, using 390919 polys (217 A polys) 03/06/09 20:10:54 v1.06 @ IGNACIO1, trial division touched 13057043 sieve locations out of 461146816512 03/06/09 20:10:54 v1.06 @ IGNACIO1, ==== post processing stage (msieve-1.38) ==== 03/06/09 20:10:55 v1.06 @ IGNACIO1, begin with 547781 relations 03/06/09 20:10:55 v1.06 @ IGNACIO1, reduce to 123657 relations in 8 passes 03/06/09 20:10:57 v1.06 @ IGNACIO1, recovered 123657 relations 03/06/09 20:10:57 v1.06 @ IGNACIO1, recovered 105947 polynomials 03/06/09 20:10:57 v1.06 @ IGNACIO1, attempting to build 63569 cycles 03/06/09 20:10:57 v1.06 @ IGNACIO1, found 63569 cycles in 4 passes 03/06/09 20:10:57 v1.06 @ IGNACIO1, distribution of cycle lengths: 03/06/09 20:10:57 v1.06 @ IGNACIO1, length 1 : 22378 03/06/09 20:10:57 v1.06 @ IGNACIO1, length 2 : 19249 03/06/09 20:10:57 v1.06 @ IGNACIO1, length 3 : 11557 03/06/09 20:10:57 v1.06 @ IGNACIO1, length 4 : 5805 03/06/09 20:10:57 v1.06 @ IGNACIO1, length 5 : 2681 03/06/09 20:10:57 v1.06 @ IGNACIO1, length 6 : 1160 03/06/09 20:10:57 v1.06 @ IGNACIO1, length 7 : 465 03/06/09 20:10:57 v1.06 @ IGNACIO1, length 9+: 274 03/06/09 20:10:57 v1.06 @ IGNACIO1, largest cycle: 13 relations 03/06/09 20:10:57 v1.06 @ IGNACIO1, matrix is 63461 x 63569 (12.2 MB) with weight 2951178 (46.42/col) 03/06/09 20:10:57 v1.06 @ IGNACIO1, sparse part has weight 2951178 (46.42/col) 03/06/09 20:10:58 v1.06 @ IGNACIO1, filtering completed in 3 passes 03/06/09 20:10:58 v1.06 @ IGNACIO1, matrix is 55505 x 55569 (10.9 MB) with weight 2647033 (47.64/col) 03/06/09 20:10:58 v1.06 @ IGNACIO1, sparse part has weight 2647033 (47.64/col) 03/06/09 20:10:58 v1.06 @ IGNACIO1, saving the first 48 matrix rows for later 03/06/09 20:10:58 v1.06 @ IGNACIO1, matrix is 55457 x 55569 (6.8 MB) with weight 1941756 (34.94/col) 03/06/09 20:10:58 v1.06 @ IGNACIO1, sparse part has weight 1446471 (26.03/col) 03/06/09 20:10:58 v1.06 @ IGNACIO1, matrix includes 64 packed rows 03/06/09 20:10:58 v1.06 @ IGNACIO1, using block size 22227 for processor cache size 4096 kB 03/06/09 20:10:58 v1.06 @ IGNACIO1, commencing Lanczos iteration 03/06/09 20:10:58 v1.06 @ IGNACIO1, memory use: 7.2 MB 03/06/09 20:11:12 v1.06 @ IGNACIO1, lanczos halted after 878 iterations (dim = 55457) 03/06/09 20:11:12 v1.06 @ IGNACIO1, recovered 18 nontrivial dependencies 03/06/09 20:11:13 v1.06 @ IGNACIO1, prp32 = 63196433917841945793059806729903 03/06/09 20:11:16 v1.06 @ IGNACIO1, prp57 = 943460367647408648898474271030755521492481831856147907147 03/06/09 20:11:16 v1.06 @ IGNACIO1, Lanczos elapsed time = 17.9010 seconds. 03/06/09 20:11:16 v1.06 @ IGNACIO1, Sqrt elapsed time = 4.0970 seconds. 03/06/09 20:11:16 v1.06 @ IGNACIO1, Total elapsed time = 2950.5970 seconds. 03/06/09 20:11:16 v1.06 @ IGNACIO1, 03/06/09 20:11:16 v1.06 @ IGNACIO1, ``` `Yafu 1.06`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10171+179

### c118

name 名前 Robert Backstrom March 11, 2009 18:13:18 UTC 2009 年 3 月 12 日 (木) 3 時 13 分 18 秒 (日本時間) `1052726973422312414369679920117417355319166283649319053416903491099269688020426323445565576922947838234591638134285291<118>` ```630342612127198618772322707546108783051<39> 1670086954568573035831635264946570628527344374543767768165202474247383904070241<79>``` ```GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM] Input number is 1052726973422312414369679920117417355319166283649319053416903491099269688020426323445565576922947838234591638134285291 (118 digits) Using B1=10000000, B2=22329304695, polynomial Dickson(12), sigma=2297428923 Step 1 took 115620ms Step 2 took 43491ms ********** Factor found in step 2: 630342612127198618772322707546108783051 Found probable prime factor of 39 digits: 630342612127198618772322707546108783051 Probable prime cofactor 1670086954568573035831635264946570628527344374543767768165202474247383904070241 has 79 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
786Jo Yeong UkMarch 7, 2009 15:37:23 UTC 2009 年 3 月 8 日 (日) 0 時 37 分 23 秒 (日本時間)

## 46×10174+179

### c142

name 名前 JMB June 2, 2010 03:36:53 UTC 2010 年 6 月 2 日 (水) 12 時 36 分 53 秒 (日本時間) `2158849293134853218077483584563445998248047975113245449955511147068663709373540698881406823223212936548474217269200575389861213183399554894589<142>` ```748774627935310542844341727839743802819927791<45> 2883176342510051409699334891335850828461686184029339561537467917820009781658838034655592152020179<97>``` ```748774627935310542844341727839743802819927791 2883176342510051409699334891335850828461686184029339561537467917820009781658838034655592152020179``` ```GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM] Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2638478874```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6443118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
325Ignacio SantosMay 12, 2010 18:59:11 UTC 2010 年 5 月 13 日 (木) 3 時 59 分 11 秒 (日本時間)
403e62109120Ignacio SantosMay 12, 2010 18:59:11 UTC 2010 年 5 月 13 日 (木) 3 時 59 分 11 秒 (日本時間)
1989Wataru SakaiMay 24, 2010 12:45:52 UTC 2010 年 5 月 24 日 (月) 21 時 45 分 52 秒 (日本時間)
4511e635 / 3994Ignacio SantosMay 12, 2010 18:59:11 UTC 2010 年 5 月 13 日 (木) 3 時 59 分 11 秒 (日本時間)

## 46×10175+179

### c167

name 名前 Dmitry Domanov July 4, 2011 12:58:24 UTC 2011 年 7 月 4 日 (月) 21 時 58 分 24 秒 (日本時間) `63014602164578516246284111617020145906259199185840819334849396989209898299899308049379840635246456422169885608780350225758695943625084271396681008492854788438843929073<167>` ```1867026776250839137075534866906396435778878221081763119151314197691<67> 33751311425279937395605541824788251853175237888586255354011331969755570768424421839612181207353096003<101>``` ```N=63014602164578516246284111617020145906259199185840819334849396989209898299899308049379840635246456422169885608780350225758695943625084271396681008492854788438843929073 ( 167 digits) SNFS difficulty: 176 digits. Divisors found: r1=1867026776250839137075534866906396435778878221081763119151314197691 (pp67) r2=33751311425279937395605541824788251853175237888586255354011331969755570768424421839612181207353096003 (pp101) Version: Msieve-1.40 Total time: 93.43 hours. Scaled time: 183.96 units (timescale=1.969). Factorization parameters were as follows: n: 63014602164578516246284111617020145906259199185840819334849396989209898299899308049379840635246456422169885608780350225758695943625084271396681008492854788438843929073 m: 100000000000000000000000000000000000 deg: 5 c5: 46 c0: 17 skew: 0.82 type: snfs lss: 1 rlim: 6200000 alim: 6200000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 300000Factor base limits: 6200000/6200000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3100000, 7000001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1181148 x 1181375 Total sieving time: 91.13 hours. Total relation processing time: 0.16 hours. Matrix solve time: 2.01 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000 total time: 93.43 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
351e6118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e6231860Rich DickersonDecember 25, 2010 04:34:47 UTC 2010 年 12 月 25 日 (土) 13 時 34 分 47 秒 (日本時間)
300Dmitry DomanovMay 8, 2011 07:04:10 UTC 2011 年 5 月 8 日 (日) 16 時 4 分 10 秒 (日本時間)
958Wataru SakaiMay 23, 2011 03:48:11 UTC 2011 年 5 月 23 日 (月) 12 時 48 分 11 秒 (日本時間)
1000Wataru SakaiMay 23, 2011 03:48:18 UTC 2011 年 5 月 23 日 (月) 12 時 48 分 18 秒 (日本時間)

## 46×10180+179

### c168

name 名前 Serge Batalov March 7, 2009 17:59:51 UTC 2009 年 3 月 8 日 (日) 2 時 59 分 51 秒 (日本時間) `542133732592978106945666598706861585594673769910452102579020398144651552201458231853382298783483099625489084900969349436539147122107481904070115834587083184571120388401<168>` ```8104568488111348562614408845397543<34> 66892362423519288858149215229470409647792932927990440248147057831515216094067576405705120507840562693982861619178921972432842900479207<134>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3582017823 Step 1 took 13133ms Step 2 took 11373ms ********** Factor found in step 2: 8104568488111348562614408845397543 Found probable prime factor of 34 digits: 8104568488111348562614408845397543 Probable prime cofactor has 134 digits``` `6.2.2`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10182+179

### c146

name 名前 Dmitry Domanov January 5, 2014 19:49:30 UTC 2014 年 1 月 6 日 (月) 4 時 49 分 30 秒 (日本時間) `13832000329003677732486359003304176203544012674149590872787370476248161041862479999349586626768847291172756459635120679817785553539225845188616211<146>` ```3388768254679443081680648204169118438487879<43> 4081719164449650762349748983677163113332039512988898962657701345925090096107403245259948468919560490709<103>``` ```N=13832000329003677732486359003304176203544012674149590872787370476248161041862479999349586626768847291172756459635120679817785553539225845188616211 ( 146 digits) SNFS difficulty: 183 digits. Divisors found: r1=3388768254679443081680648204169118438487879 (pp43) r2=4081719164449650762349748983677163113332039512988898962657701345925090096107403245259948468919560490709 (pp103) Version: Msieve v. 1.50 (SVN unknown) Total time: 155.65 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 13832000329003677732486359003304176203544012674149590872787370476248161041862479999349586626768847291172756459635120679817785553539225845188616211 m: 1000000000000000000000000000000000000 deg: 5 c5: 4600 c0: 17 skew: 0.33 # Murphy_E = 6.687e-11 type: snfs lss: 1 rlim: 8100000 alim: 8100000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 400000 Factor base limits: 8100000/8100000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [4050000, 11650001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1537229 x 1537457 Total sieving time: 153.02 hours. Total relation processing time: 0.22 hours. Matrix solve time: 2.20 hours. Time per square root: 0.20 hours. Prototype def-par.txt line would be: snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000 total time: 155.65 hours. --------- CPU info (if available) ---------- [ 0.074309] CPU0: Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 [ 0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init) [ 0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000) [ 0.707507] Total of 16 processors activated (76799.07 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:04:20 UTC 2011 年 5 月 8 日 (日) 16 時 4 分 20 秒 (日本時間)
1500Dmitry DomanovOctober 17, 2013 11:17:41 UTC 2013 年 10 月 17 日 (木) 20 時 17 分 41 秒 (日本時間)
4511e61310 / 4077230Ignacio SantosOctober 2, 2013 18:03:30 UTC 2013 年 10 月 3 日 (木) 3 時 3 分 30 秒 (日本時間)
230Ignacio SantosOctober 13, 2013 15:20:24 UTC 2013 年 10 月 14 日 (月) 0 時 20 分 24 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:06:19 UTC 2013 年 11 月 9 日 (土) 2 時 6 分 19 秒 (日本時間)

## 46×10183+179

### c166

name 名前 Dmitry Domanov January 5, 2014 19:50:21 UTC 2014 年 1 月 6 日 (月) 4 時 50 分 21 秒 (日本時間) `1496264689744556697713455616492523651767838009877562621586684040250572854722555513862078250144600045397516355271944053546345966132520860289004166042926188348428250689<166>` ```5944471152265388231458023758098851071953303037<46> 246044354378643048074738095250482827383191151092631<51> 1023014522682329255281627165709520660968651744312972427155420328081587<70>``` ```N=1496264689744556697713455616492523651767838009877562621586684040250572854722555513862078250144600045397516355271944053546345966132520860289004166042926188348428250689 ( 166 digits) SNFS difficulty: 184 digits. Divisors found: r1=5944471152265388231458023758098851071953303037 (pp46) r2=246044354378643048074738095250482827383191151092631 (pp51) r3=1023014522682329255281627165709520660968651744312972427155420328081587 (pp70) Version: Msieve v. 1.50 (SVN unknown) Total time: 183.15 hours. Scaled time: 0.00 units (timescale=0.000). Factorization parameters were as follows: n: 1496264689744556697713455616492523651767838009877562621586684040250572854722555513862078250144600045397516355271944053546345966132520860289004166042926188348428250689 m: 1000000000000000000000000000000000000 deg: 5 c5: 46000 c0: 17 skew: 0.21 # Murphy_E = 5.283e-11 type: snfs lss: 1 rlim: 8400000 alim: 8400000 lpbr: 28 lpba: 28 mfbr: 54 mfba: 54 rlambda: 2.5 alambda: 2.5 qintsize: 400000 Factor base limits: 8400000/8400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 54/54 Sieved rational special-q in [4200000, 13000001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1828312 x 1828537 Total sieving time: 178.89 hours. Total relation processing time: 0.25 hours. Matrix solve time: 3.16 hours. Time per square root: 0.84 hours. Prototype def-par.txt line would be: snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000 total time: 183.15 hours. --------- CPU info (if available) ---------- [ 0.074309] CPU0: Intel(R) Xeon(R) CPU E5620 @ 2.40GHz stepping 02 [ 0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init) [ 0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000) [ 0.707507] Total of 16 processors activated (76799.07 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:04:28 UTC 2011 年 5 月 8 日 (日) 16 時 4 分 28 秒 (日本時間)
1500Dmitry DomanovOctober 17, 2013 11:17:52 UTC 2013 年 10 月 17 日 (木) 20 時 17 分 52 秒 (日本時間)
4511e6600 / 4077Serge BatalovNovember 20, 2013 01:03:01 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 1 秒 (日本時間)

## 46×10187+179

### c177

name 名前 Dmitry Domanov May 7, 2011 08:42:43 UTC 2011 年 5 月 7 日 (土) 17 時 42 分 43 秒 (日本時間) `129999158874386414092278381557565950049692477944100948620607526312960057177710102208554877754945065686966498221667922135545765706993431853492629149688738432863870965564829359889<177>` ```3968767260443630332344935218494234427<37> 32755551117869042807946521858380075254197316346061167646931499643323885643226734962949475903163294324458137898254397621009914369288420060707<140>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1950863607 Step 1 took 69033ms Step 2 took 25841ms ********** Factor found in step 2: 3968767260443630332344935218494234427 Found probable prime factor of 37 digits: 3968767260443630332344935218494234427 Probable prime cofactor 32755551117869042807946521858380075254197316346061167646931499643323885643226734962949475903163294324458137898254397621009914369288420060707 has 140 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10188+179

### c179

name 名前 Robert Backstrom February 5, 2012 16:19:05 UTC 2012 年 2 月 6 日 (月) 1 時 19 分 5 秒 (日本時間) `21014788672922974313248960645943713662452708882572632199332648653966452528619323484042769617204004560785915741575398008284527078366665999479562170835656811800006945037714485315641<179>` ```3483918410417653328026025291809676294239358737081<49> 6031940532844945205031708236972941727762753225496898645969583576605344615126483413085920246168251254539204418216058542930622437761<130>``` ```Number: n N=21014788672922974313248960645943713662452708882572632199332648653966452528619323484042769617204004560785915741575398008284527078366665999479562170835656811800006945037714485315641 ( 179 digits) SNFS difficulty: 189 digits. Divisors found: Mon Feb 6 03:13:12 2012 prp49 factor: 3483918410417653328026025291809676294239358737081 Mon Feb 6 03:13:12 2012 prp130 factor: 6031940532844945205031708236972941727762753225496898645969583576605344615126483413085920246168251254539204418216058542930622437761 Mon Feb 6 03:13:12 2012 elapsed time 03:28:03 (Msieve 1.44 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.639). Factorization parameters were as follows: name: KA_51113_188 n: 21014788672922974313248960645943713662452708882572632199332648653966452528619323484042769617204004560785915741575398008284527078366665999479562170835656811800006945037714485315641 m: 10000000000000000000000000000000000000 # c179, diff: 189.66 skew: 0.21 deg: 5 c5: 46000 c0: 17 type: snfs lss: 1 rlim: 15000000 alim: 15000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.5 alambda: 2.5 Factor base limits: 15000000/15000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 17200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8745195 hash collisions in 80884672 relations (74648050 unique) Msieve: matrix is 1314842 x 1315090 (368.4 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU1: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU2: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU3: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU4: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU5: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU6: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 CPU7: Intel(R) Core(TM) i7 CPU 930 @ 2.80GHz stepping 05 Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554) Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555) Total of 8 processors activated (44760.82 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovMay 8, 2011 07:04:36 UTC 2011 年 5 月 8 日 (日) 16 時 4 分 36 秒 (日本時間)

## 46×10189+179

### c154

name 名前 Eric Jeancolas September 7, 2020 00:30:47 UTC 2020 年 9 月 7 日 (月) 9 時 30 分 47 秒 (日本時間) `6878350085200239603734739909058371014629976880201850069612691269946453707830548772678342600248531281315362608696621217573386641320539222946587882840360413<154>` ```31888168549636096654079391407691926132122787976175141184681308552577<68> 215702261937483843943631996904784646639522877755448795113329505373482763816226035723869<87>``` ```6878350085200239603734739909058371014629976880201850069612691269946453707830548772678342600248531281315362608696621217573386641320539222946587882840360413=31888168549636096654079391407691926132122787976175141184681308552577*215702261937483843943631996904784646639522877755448795113329505373482763816226035723869 cado polynomial n: 6878350085200239603734739909058371014629976880201850069612691269946453707830548772678342600248531281315362608696621217573386641320539222946587882840360413 skew: 1.30 type: snfs c0: 85 c5: 23 Y0: 100000000000000000000000000000000000000 Y1: -1 # f(x) = 23*x^5+85 # g(x) = -x+100000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 10800000 tasks.lim1 = 10800000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 54 tasks.sieve.mfb1 = 54 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 215702261937483843943631996904784646639522877755448795113329505373482763816226035723869 31888168549636096654079391407691926132122787976175141184681308552577 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: 4.68/1.93524 Info:Generate Free Relations: Total cpu/real time for freerel: 101.92/26.4847 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 25742319 Info:Lattice Sieving: Average J: 1893.78 for 2249483 special-q, max bucket fill -bkmult 1.0,1s:1.079860 Info:Lattice Sieving: Total time: 493994s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.99/58.845 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.4s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 415.52/260.611 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 224.60000000000002s Info:Filtering - Singleton removal: Total cpu/real time for purge: 334.8/200.149 Info:Filtering - Merging: Total cpu/real time for merge: 307.22/87.7375 Info:Filtering - Merging: Total cpu/real time for replay: 79.67/70.1621 Info:Linear Algebra: Total cpu/real time for bwc: 72882/18697.5 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 11908.86, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64512 iterations) Info:Linear Algebra: Lingen CPU time 422.87, WCT time 122.1 Info:Linear Algebra: Mksol: WCT time 6538.31, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32256 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 73.46/30.1398 Info:Square Root: Total cpu/real time for sqrt: 522.27/167.5 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.01103e+06/514030 Info:root: Cleaning up computation data in /tmp/cado.erjajg6y 215702261937483843943631996904784646639522877755448795113329505373482763816226035723869 31888168549636096654079391407691926132122787976175141184681308552577``` `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 KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:04:45 UTC 2011 年 5 月 8 日 (日) 16 時 4 分 45 秒 (日本時間)
1500Dmitry DomanovOctober 17, 2013 11:18:03 UTC 2013 年 10 月 17 日 (木) 20 時 18 分 3 秒 (日本時間)
4511e655001000Dmitry DomanovDecember 23, 2013 15:15:52 UTC 2013 年 12 月 24 日 (火) 0 時 15 分 52 秒 (日本時間)
500Dmitry DomanovAugust 6, 2014 06:53:54 UTC 2014 年 8 月 6 日 (水) 15 時 53 分 54 秒 (日本時間)
4000Robert BalfourApril 13, 2020 11:36:38 UTC 2020 年 4 月 13 日 (月) 20 時 36 分 38 秒 (日本時間)

## 46×10190+179

### c170

name 名前 Dmitry Domanov December 24, 2013 06:01:54 UTC 2013 年 12 月 24 日 (火) 15 時 1 分 54 秒 (日本時間) `28263462042147791730505769436211068374988578546457156629895848319476091378984184647841825722136897556711925177745706122411041509055898301774768203657174650854068887489947<170>` ```61137583776896848228636175019758186715547<41> 462292755063509909489422139570791741128811985179471440250996026534409705588866339888433675338364698340991547113525470534358195201<129>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3667222916 Step 1 took 65816ms Step 2 took 26460ms ********** Factor found in step 2: 61137583776896848228636175019758186715547 Found probable prime factor of 41 digits: 61137583776896848228636175019758186715547```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:04:53 UTC 2011 年 5 月 8 日 (日) 16 時 4 分 53 秒 (日本時間)
1500Dmitry DomanovOctober 17, 2013 11:18:13 UTC 2013 年 10 月 17 日 (木) 20 時 18 分 13 秒 (日本時間)
4511e61000 / 4077Dmitry DomanovDecember 23, 2013 15:16:03 UTC 2013 年 12 月 24 日 (火) 0 時 16 分 3 秒 (日本時間)

## 46×10191+179

### c187

name 名前 Robert Backstrom February 9, 2010 14:46:41 UTC 2010 年 2 月 9 日 (火) 23 時 46 分 41 秒 (日本時間) `8592846641971572621696190566922397254772298904038451120712683228444563997093376222846137608834940756058423885124848457677428273080666281856577917504936216793784756663659170341976616249073<187>` ```260762297269813544129807543823882798729799665167997971159<57> 32952795446039739761211054902354536947392420415529117074629841418240402306663274850387484713927945397575803753833074495265237699447<131>``` ```Number: n N=8592846641971572621696190566922397254772298904038451120712683228444563997093376222846137608834940756058423885124848457677428273080666281856577917504936216793784756663659170341976616249073 ( 187 digits) SNFS difficulty: 192 digits. Divisors found: Wed Feb 10 01:40:43 2010 prp57 factor: 260762297269813544129807543823882798729799665167997971159 Wed Feb 10 01:40:43 2010 prp131 factor: 32952795446039739761211054902354536947392420415529117074629841418240402306663274850387484713927945397575803753833074495265237699447 Wed Feb 10 01:40:43 2010 elapsed time 09:20:43 (Msieve 1.42 - dependency 1) Version: Total time: 18.79 hours. Scaled time: 15.82 units (timescale=0.842). Factorization parameters were as follows: name: KA_5_1_190_3 n: 8592846641971572621696190566922397254772298904038451120712683228444563997093376222846137608834940756058423885124848457677428273080666281856577917504936216793784756663659170341976616249073 m: 100000000000000000000000000000000000000 deg: 5 c5: 460 c0: 17 skew: 0.52 type: snfs lss: 1 rlim: 11400000 alim: 11400000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 11400000/11400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 10374101) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 3318617 hash collisions in 26193151 relations Msieve: matrix is 1884230 x 1884455 (506.1 MB) Total sieving time: 18.79 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,56,56,2.5,2.5,100000 total time: 18.79 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
351e6118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiAugust 17, 2009 00:44:02 UTC 2009 年 8 月 17 日 (月) 9 時 44 分 2 秒 (日本時間)
4511e60--
5043e61140 / 7465yoyo@homeJanuary 29, 2010 11:20:07 UTC 2010 年 1 月 29 日 (金) 20 時 20 分 7 秒 (日本時間)

## 46×10192+179

### c172

name 名前 Serge Batalov March 7, 2009 09:16:33 UTC 2009 年 3 月 7 日 (土) 18 時 16 分 33 秒 (日本時間) `1897177758266466003567898788990143883156391975952024979817210485604186454194873990330347451353318868475162185495198890089889471727783333599774752844633265884111584613964949<172>` `24527637055228679790053330005147297<35>` `77348574344711900248143397201902127252238419609437775764473096905398712073855667946645489904090700000217853926771032123860527776171449717<137>` ```Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=2994922549 Step 1 took 187100ms Step 2 took 128392ms ********** Factor found in step 2: 24527637055228679790053330005147297 Found probable prime factor of 35 digits: 24527637055228679790053330005147297 Composite cofactor has 137 digits``` `GMP-ECM 6.2.2`

### c137

name 名前 Eric Jeancolas March 14, 2019 03:13:03 UTC 2019 年 3 月 14 日 (木) 12 時 13 分 3 秒 (日本時間) `77348574344711900248143397201902127252238419609437775764473096905398712073855667946645489904090700000217853926771032123860527776171449717<137>` ```838046162845822061171586726636968564409591957231906572968087699<63> 92296317045415499589441238697953244066554440247057760024894074397306439383<74>``` ```7*384865744381226570291*24527637055228679790053330005147297*838046162845822061171586726636968564409591957231906572968087699*92296317045415499589441238697953244066554440247057760024894074397306439383 Log has been overwritten. Cado-nfs-2.3.0 has been used the by default way, without any options. Elapsed time has been about 50 hours.``` `cado-nfs-2.3.0` ```Linux Ubuntu 18.04 LTS GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors) ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:05:01 UTC 2011 年 5 月 8 日 (日) 16 時 5 分 1 秒 (日本時間)
1500Dmitry DomanovOctober 17, 2013 11:18:52 UTC 2013 年 10 月 17 日 (木) 20 時 18 分 52 秒 (日本時間)
4511e61500 / 40771000Dmitry DomanovDecember 23, 2013 15:16:26 UTC 2013 年 12 月 24 日 (火) 0 時 16 分 26 秒 (日本時間)
500Dmitry DomanovAugust 6, 2014 06:54:12 UTC 2014 年 8 月 6 日 (水) 15 時 54 分 12 秒 (日本時間)

## 46×10193+179

### c194

name 名前 Jo Yeong Uk March 9, 2009 12:39:34 UTC 2009 年 3 月 9 日 (月) 21 時 39 分 34 秒 (日本時間) `51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<194>` `217410993050638873355737846333375723<36>` `235089819488596087295387233793131386382105303301089051036631344503098791738232356187656689122842975052128957602428239192437050778955177424652359127571338331931<159>` ```GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM] Input number is 51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (194 digits) Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1525602877 Step 1 took 22444ms Step 2 took 8829ms ********** Factor found in step 2: 217410993050638873355737846333375723 Found probable prime factor of 36 digits: 217410993050638873355737846333375723 Composite cofactor 235089819488596087295387233793131386382105303301089051036631344503098791738232356187656689122842975052128957602428239192437050778955177424652359127571338331931 has 159 digits``` `Core 2 Quad Q6700`

### c159

name 名前 Eric Jeancolas June 13, 2021 08:38:26 UTC 2021 年 6 月 13 日 (日) 17 時 38 分 26 秒 (日本時間) `235089819488596087295387233793131386382105303301089051036631344503098791738232356187656689122842975052128957602428239192437050778955177424652359127571338331931<159>` ```22629271489049673839143842811570298512345728466425660455690663273<65> 10388748908790823259594779343986440315372124395674441950906472618732226160621343777111519179747<95>``` ```235089819488596087295387233793131386382105303301089051036631344503098791738232356187656689122842975052128957602428239192437050778955177424652359127571338331931=22629271489049673839143842811570298512345728466425660455690663273*10388748908790823259594779343986440315372124395674441950906472618732226160621343777111519179747 cado polynomial n: 235089819488596087295387233793131386382105303301089051036631344503098791738232356187656689122842975052128957602428239192437050778955177424652359127571338331931 skew: 0.58 type: snfs c0: 17 c6: 460 Y0: 100000000000000000000000000000000 Y1: -1 # f(x) = 460*x^6+17 # g(x) = -x+100000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 12300000 tasks.lim1 = 12300000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 22629271489049673839143842811570298512345728466425660455690663273 10388748908790823259594779343986440315372124395674441950906472618732226160621343777111519179747 Info:Square Root: Total cpu/real time for sqrt: 755.4/227.659 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 116.56/136.481 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 135.49999999999997s Info:Filtering - Merging: Merged matrix has 2401202 rows and total weight 410729812 (171.1 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 648.52/179.668 Info:Filtering - Merging: Total cpu/real time for replay: 92.67/80.2997 Info:Linear Algebra: Total cpu/real time for bwc: 99326.1/25429.4 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 63564.64, WCT time 16224.47, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75264 iterations) Info:Linear Algebra: Lingen CPU time 516.38, WCT time 130.82 Info:Linear Algebra: Mksol: CPU time 34392.41, WCT time 8783.99, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations) Info:Generate Free Relations: Total cpu/real time for freerel: 184.27/47.6655 Info:Generate Factor Base: Total cpu/real time for makefb: 7.98/3.34382 Info:Filtering - Singleton removal: Total cpu/real time for purge: 415.23/407.835 Info:Square Root: Total cpu/real time for sqrt: 755.4/227.659 Info:Quadratic Characters: Total cpu/real time for characters: 83.83/36.1795 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 527.17/505.565 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 408.29999999999995s Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 27722784 Info:Lattice Sieving: Average J: 1893.3 for 3194446 special-q, max bucket fill -bkmult 1.0,1s:1.191080 Info:Lattice Sieving: Total time: 669402s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.4075e+06/69487.7 Info:root: Cleaning up computation data in /tmp/cado.fnsumpaj 22629271489049673839143842811570298512345728466425660455690663273 10388748908790823259594779343986440315372124395674441950906472618732226160621343777111519179747``` `cado-nfs-3.0.0` ```6 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
786Jo Yeong UkMarch 7, 2009 02:44:21 UTC 2009 年 3 月 7 日 (土) 11 時 44 分 21 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:05:08 UTC 2011 年 5 月 8 日 (日) 16 時 5 分 8 秒 (日本時間)
1500Dmitry DomanovOctober 17, 2013 11:19:02 UTC 2013 年 10 月 17 日 (木) 20 時 19 分 2 秒 (日本時間)
4511e61500 / 40411000Dmitry DomanovDecember 23, 2013 15:16:38 UTC 2013 年 12 月 24 日 (火) 0 時 16 分 38 秒 (日本時間)
500Dmitry DomanovAugust 6, 2014 06:55:28 UTC 2014 年 8 月 6 日 (水) 15 時 55 分 28 秒 (日本時間)

## 46×10195+179

### c168

name 名前 Serge Batalov March 7, 2009 06:01:48 UTC 2009 年 3 月 7 日 (土) 15 時 1 分 48 秒 (日本時間) `106677408713731836093503710909822578785203254954233898227861361144289238639733070166922470407002324543413917867708988612841823115190450200734865846843124530786010591001<168>` ```1352232292703206748131418929363<31> 78889854420261070134295297737329302219952025430485075571736676711205438128918148705492132762635601259166557687516563362370477021572531427<137>``` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=979988983 Step 1 took 13253ms Step 2 took 11473ms ********** Factor found in step 2: 1352232292703206748131418929363 Found probable prime factor of 31 digits: 1352232292703206748131418929363 Probable prime cofactor 788898544202610701342952977373293022199520254304850755717366767112054381289181487054921327626356012591665576875 16563362370477021572531427 has 137 digits ``` `GMP-ECM 6.2.2`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10196+179

### c185

name 名前 Serge Batalov March 7, 2009 17:57:50 UTC 2009 年 3 月 8 日 (日) 2 時 57 分 50 秒 (日本時間) `34674586482065094315953501179424130338244514719566314691404567398222044813874100876034502781102379988447075395397273237244729111261146801096797638112440464089347820556047365805173999231<185>` `46638014411653612788414145080653<32>` `743483334775093414308085926936551688757350932685493179334475707140726021929978120094874282079886030617190668431423415363905819287792994902061667650047227<153>` ```Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=213234464 Step 1 took 15805ms Step 2 took 12860ms ********** Factor found in step 2: 46638014411653612788414145080653 Found probable prime factor of 32 digits: 46638014411653612788414145080653 Composite cofactor has 153 digits``` `6.2.2`

### c153

name 名前 Eric Jeancolas December 10, 2020 10:20:39 UTC 2020 年 12 月 10 日 (木) 19 時 20 分 39 秒 (日本時間) `743483334775093414308085926936551688757350932685493179334475707140726021929978120094874282079886030617190668431423415363905819287792994902061667650047227<153>` ```2060102078266857577068239391499043590094485734744126863<55> 360896356844889065224128237771589170953205993479845591245127455869924401113777524756503448348521429<99>``` ```743483334775093414308085926936551688757350932685493179334475707140726021929978120094874282079886030617190668431423415363905819287792994902061667650047227=2060102078266857577068239391499043590094485734744126863*360896356844889065224128237771589170953205993479845591245127455869924401113777524756503448348521429 cado polynomial n: 743483334775093414308085926936551688757350932685493179334475707140726021929978120094874282079886030617190668431423415363905819287792994902061667650047227 skew: 0.52 type: snfs c0: 17 c5: 460 Y0: 1000000000000000000000000000000000000000 Y1: -1 # f(x) = 460*x^5+17 # g(x) = -x+1000000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 13800000 tasks.lim1 = 13800000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 2060102078266857577068239391499043590094485734744126863 360896356844889065224128237771589170953205993479845591245127455869924401113777524756503448348521429 Info:Square Root: Total cpu/real time for sqrt: 916.2/289.088 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 5.85/2.36211 Info:Generate Free Relations: Total cpu/real time for freerel: 99.45/25.7242 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 32542217 Info:Lattice Sieving: Average J: 1893.6 for 5827602 special-q, max bucket fill -bkmult 1.0,1s:1.159290 Info:Lattice Sieving: Total time: 1.46448e+06s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 64.41/165.382 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 164.6s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 544.17/552.65 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 481.40000000000003s Info:Filtering - Singleton removal: Total cpu/real time for purge: 471.66/552.166 Info:Filtering - Merging: Merged matrix has 3188010 rows and total weight 545630726 (171.2 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 448.55/130.315 Info:Filtering - Merging: Total cpu/real time for replay: 124.81/110.596 Info:Linear Algebra: Total cpu/real time for bwc: 158364/40668.3 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 23775.98, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (99840 iterations) Info:Linear Algebra: Lingen CPU time 662.7, WCT time 191.59 Info:Linear Algebra: Mksol: WCT time 16651.2, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50176 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 110.4/47.0106 Info:Square Root: Total cpu/real time for sqrt: 916.2/289.088 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.89257e+06/41009.8 2060102078266857577068239391499043590094485734744126863 360896356844889065224128237771589170953205993479845591245127455869924401113777524756503448348521429``` `cado-nfs-3.0.0` ```6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:05:18 UTC 2011 年 5 月 8 日 (日) 16 時 5 分 18 秒 (日本時間)
1500Dmitry DomanovOctober 17, 2013 11:19:12 UTC 2013 年 10 月 17 日 (木) 20 時 19 分 12 秒 (日本時間)
4511e62100 / 40771000Dmitry DomanovDecember 23, 2013 15:16:51 UTC 2013 年 12 月 24 日 (火) 0 時 16 分 51 秒 (日本時間)
500Dmitry DomanovAugust 6, 2014 06:55:43 UTC 2014 年 8 月 6 日 (水) 15 時 55 分 43 秒 (日本時間)
600Eric JeancolasOctober 10, 2020 06:42:27 UTC 2020 年 10 月 10 日 (土) 15 時 42 分 27 秒 (日本時間)

## 46×10197+179

### c148

name 名前 Serge Batalov March 7, 2009 07:32:47 UTC 2009 年 3 月 7 日 (土) 16 時 32 分 47 秒 (日本時間) `1169805586998533927436713560525912310314331032405172374705673493828343862704988973513491556300228997682634444724073968472438637783414470344580545241<148>` ```130550024777403132153418348493<30> 8960592608030015896461355940957297379276489908903690773678245168039100889919773852994128966768993206114558634605407037<118>``` ```Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=1748386705 Step 1 took 154413ms Step 2 took 115743ms ********** Factor found in step 2: 130550024777403132153418348493 Found probable prime factor of 30 digits: 130550024777403132153418348493 Probable prime cofactor has 118 digits``` `GMP-ECM 6.2.2`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10199+179

### c145

name 名前 Eric Jeancolas May 22, 2020 04:48:30 UTC 2020 年 5 月 22 日 (金) 13 時 48 分 30 秒 (日本時間) `2192214056118725601630987762193801019326643567055084808284747925849551441678434560826540105553931365837291000526639267712132317676770267569260971<145>` ```3420061608500292909209468447453364451360943366374615305323824729<64> 640986715172074904076678106671713883320485136780130255219971407401246417176123299<81>``` ```2192214056118725601630987762193801019326643567055084808284747925849551441678434560826540105553931365837291000526639267712132317676770267569260971=3420061608500292909209468447453364451360943366374615305323824729*640986715172074904076678106671713883320485136780130255219971407401246417176123299 n: 2192214056118725601630987762193801019326643567055084808284747925849551441678434560826540105553931365837291000526639267712132317676770267569260971 skew: 581474.633 c0: -9161913922488616657109254383442149 c1: -60860357562356559093203715372 c2: 101167065401833584306229 c3: -91429627664381428 c4: -105046025520 c5: 253800 Y0: -6132535639398825760851001990 Y1: 61067535185250791501 # MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.93e-07 # found by revision 7f9c8bd19 # f(x) = 253800*x^5-105046025520*x^4-91429627664381428*x^3+101167065401833584306229*x^2-60860357562356559093203715372*x-9161913922488616657109254383442149 # g(x) = 61067535185250791501*x-6132535639398825760851001990 Info:Square Root: Factors: 3420061608500292909209468447453364451360943366374615305323824729 640986715172074904076678106671713883320485136780130255219971407401246417176123299 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: 18.08/4.8296 Info:Generate Free Relations: Total cpu/real time for freerel: 445.75/114.448 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 47854030 Info:Lattice Sieving: Average J: 3807.77 for 56363 special-q, max bucket fill -bkmult 1.0,1s:1.071780 Info:Lattice Sieving: Total time: 80168.3s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.47/80.6704 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.29999999999998s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 813.76/452.005 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 372.9s Info:Filtering - Singleton removal: Total cpu/real time for purge: 633.48/589.447 Info:Filtering - Merging: Total cpu/real time for merge: 466.27/136.947 Info:Filtering - Merging: Total cpu/real time for replay: 141.23/121.945 Info:Linear Algebra: Total cpu/real time for bwc: 201334/51472.1 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 32841.93, iteration CPU time 0.3, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (104448 iterations) Info:Linear Algebra: Lingen CPU time 704.89, WCT time 202.82 Info:Linear Algebra: Mksol: WCT time 17990.5, iteration CPU time 0.33, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52224 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 136.5/56.76 Info:Square Root: Total cpu/real time for sqrt: 1561.83/461.326 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 300353/94031.9 Info:root: Cleaning up computation data in /tmp/cado.gsscwc_v 3420061608500292909209468447453364451360943366374615305323824729 640986715172074904076678106671713883320485136780130255219971407401246417176123299``` `cado-nfs-3.0.0` ```Linux Ubuntu 18.04 LTS GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:05:25 UTC 2011 年 5 月 8 日 (日) 16 時 5 分 25 秒 (日本時間)
1500Dmitry DomanovOctober 17, 2013 11:19:23 UTC 2013 年 10 月 17 日 (木) 20 時 19 分 23 秒 (日本時間)
4511e62000 / 40771000Dmitry DomanovDecember 23, 2013 15:17:03 UTC 2013 年 12 月 24 日 (火) 0 時 17 分 3 秒 (日本時間)
1000Dmitry DomanovAugust 6, 2014 06:55:54 UTC 2014 年 8 月 6 日 (水) 15 時 55 分 54 秒 (日本時間)

## 46×10201+179

### c179

name 名前 Ignacio Santos August 31, 2021 20:27:53 UTC 2021 年 9 月 1 日 (水) 5 時 27 分 53 秒 (日本時間) `72551415483888517760049292527301124032565333330201576062054979474155703535015573069095572226591385587901950582495925642909299063051058503583071576620216334760029765962191195880297<179>` ```4484058301071379622741105676188345008565178269<46> 16179855526533575678537934369831757501254131546308240212048973593777960637129934028687447988527666859786511809301731416788135516561213<134>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2161286943 Step 1 took 31469ms Step 2 took 13281ms ********** Factor found in step 2: 4484058301071379622741105676188345008565178269 Found prime factor of 46 digits: 4484058301071379622741105676188345008565178269 Prime cofactor 16179855526533575678537934369831757501254131546308240212048973593777960637129934028687447988527666859786511809301731416788135516561213 has 134 digits ``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:05:32 UTC 2011 年 5 月 8 日 (日) 16 時 5 分 32 秒 (日本時間)
1500Dmitry DomanovOctober 17, 2013 11:19:32 UTC 2013 年 10 月 17 日 (木) 20 時 19 分 32 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovDecember 30, 2013 13:11:22 UTC 2013 年 12 月 30 日 (月) 22 時 11 分 22 秒 (日本時間)

## 46×10202+179

### c200

name 名前 matsui June 11, 2009 11:09:11 UTC 2009 年 6 月 11 日 (木) 20 時 9 分 11 秒 (日本時間) `26441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340461<200>` ```25095474208856818167520252174989158442949<41> 3297726093382206271419702874019435673426517286346071139459697077025086546391<76> 319501926354791297344734539988594417282060450051494131411273826097979565702137229279<84>``` ```N=26441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340461 ( 200 digits) SNFS difficulty: 204 digits. Divisors found: r1=25095474208856818167520252174989158442949 (pp41) r2=3297726093382206271419702874019435673426517286346071139459697077025086546391 (pp76) r3=319501926354791297344734539988594417282060450051494131411273826097979565702137229279 (pp84) Version: GGNFS-0.77.1-20060722-nocona Total time: 1246.67 hours. Scaled time: 2805.00 units (timescale=2.250). Factorization parameters were as follows: n: 26441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340461 m: 20000000000000000000000000000000000000000 deg: 5 c5: 575 c0: 68 skew: 0.65 type: snfs lss: 1 rlim: 17800000 alim: 17800000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 17800000/17800000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved rational special-q in [8900000, 25100001) Primes: RFBsize:1139344, AFBsize:1139550, largePrimes:39498154 encountered Relations: rels:43640536, finalFF:2563810 Max relations in full relation-set: 32 Initial matrix: 2278961 x 2563810 with sparse part having weight 390927558. Pruned matrix : 2046135 x 2057593 with weight 354661269. Total sieving time: 1150.15 hours. Total relation processing time: 5.81 hours. Matrix solve time: 90.28 hours. Time per square root: 0.42 hours. Prototype def-par.txt line would be: snfs,204,5,0,0,0,0,0,0,0,0,17800000,17800000,29,29,56,56,2.6,2.6,100000 total time: 1246.67 hours.```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)

## 46×10203+179

### c196

name 名前 Robert Backstrom February 4, 2011 04:54:43 UTC 2011 年 2 月 4 日 (金) 13 時 54 分 43 秒 (日本時間) `2318692355219335889279330974266495446963016649764130289273157607089790609897107557958035371221408594586966423706067076252481005230640799873091717010757764222127636712290159721726633235266306829909<196>` ```687532532280190842916694085002465076025339239115000269108110699129<66> 3372483840916485969525018388583766838089177129312922854258447133659282089546867045981361800617945037942604625720722799254656805821<130>``` ```Number: n N=2318692355219335889279330974266495446963016649764130289273157607089790609897107557958035371221408594586966423706067076252481005230640799873091717010757764222127636712290159721726633235266306829909 ( 196 digits) SNFS difficulty: 204 digits. Divisors found: Fri Feb 4 15:10:30 2011 prp66 factor: 687532532280190842916694085002465076025339239115000269108110699129 Fri Feb 4 15:10:30 2011 prp130 factor: 3372483840916485969525018388583766838089177129312922854258447133659282089546867045981361800617945037942604625720722799254656805821 Fri Feb 4 15:10:30 2011 elapsed time 08:08:16 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.084). Factorization parameters were as follows: name: KA_5_1_202_3 n: 2318692355219335889279330974266495446963016649764130289273157607089790609897107557958035371221408594586966423706067076252481005230640799873091717010757764222127636712290159721726633235266306829909 m: 10000000000000000000000000000000000000000 # Diff: 204.66 deg: 5 c5: 46000 c0: 17 skew: 0.21 type: snfs lss: 1 rlim: 12000000 alim: 12000000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 12000000/12000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [100000, 35000000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 7224138 hash collisions in 35149185 relations Msieve: matrix is 2361500 x 2361725 (670.0 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,204,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU1: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU2: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 CPU3: Intel(R) Core(TM)2 Quad CPU Q9550 @ 2.83GHz stepping 07 Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.85 BogoMIPS (lpj=2830925) Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449) Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460) Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460) Total of 4 processors activated (22644.58 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiJune 21, 2010 00:19:18 UTC 2010 年 6 月 21 日 (月) 9 時 19 分 18 秒 (日本時間)

## 46×10204+179

### c187

name 名前 Bob Backstrom October 15, 2021 16:32:30 UTC 2021 年 10 月 16 日 (土) 1 時 32 分 30 秒 (日本時間) `1566326652841884263383910245190642757004562144678594557191654475127994269429970431957852371626251467309348151111157434132964267730612039440949517298355163675551456620800107222169714432173<187>` ```63689867134616881370121996365422509084045658107622854840991757136388970402365741328899<86> 24593027483182648193442793079216593590181337920426724435135005658989351364469812375681657574182538127<101>``` ```Number: n N=1566326652841884263383910245190642757004562144678594557191654475127994269429970431957852371626251467309348151111157434132964267730612039440949517298355163675551456620800107222169714432173 ( 187 digits) SNFS difficulty: 206 digits. Divisors found: Sat Oct 16 03:26:03 2021 p86 factor: 63689867134616881370121996365422509084045658107622854840991757136388970402365741328899 Sat Oct 16 03:26:03 2021 p101 factor: 24593027483182648193442793079216593590181337920426724435135005658989351364469812375681657574182538127 Sat Oct 16 03:26:03 2021 elapsed time 02:14:35 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.348). Factorization parameters were as follows: # # N = 46x10^204+17 = 51(203)3 # n: 1566326652841884263383910245190642757004562144678594557191654475127994269429970431957852371626251467309348151111157434132964267730612039440949517298355163675551456620800107222169714432173 m: 100000000000000000000000000000000000000000 deg: 5 c5: 23 c0: 85 skew: 1.30 # Murphy_E = 8.971e-12 type: snfs lss: 1 rlim: 19300000 alim: 19300000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19300000/19300000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 44050000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 10526816 hash collisions in 71691274 relations (62593684 unique) Msieve: matrix is 2361667 x 2361894 (808.4 MB) Sieving start time : 2021/10/15 08:35:03 Sieving end time : 2021/10/16 01:10:07 Total sieving time: 16hrs 35min 4secs. Total relation processing time: 1hrs 51min 24sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 5min 12sec. Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved) [ 0.154098] x86/mm: Memory block size: 128MB [ 0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968) [ 0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:05:41 UTC 2011 年 5 月 8 日 (日) 16 時 5 分 41 秒 (日本時間)
1500Dmitry DomanovOctober 17, 2013 11:19:43 UTC 2013 年 10 月 17 日 (木) 20 時 19 分 43 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovDecember 30, 2013 13:11:35 UTC 2013 年 12 月 30 日 (月) 22 時 11 分 35 秒 (日本時間)

## 46×10205+179

### c192

name 名前 Bob Backstrom July 13, 2021 13:41:19 UTC 2021 年 7 月 13 日 (火) 22 時 41 分 19 秒 (日本時間) `862751014878177192669246921523968294566576483833430066679513968164744011420420343829157650192501374428066076914577049981508132536348691220233943087987161990584331787629270593936633701623762319<192>` ```62321402216712896823293790132767241588838041343835141111373628231<65> 13843575147396329756606438156046388463323867640423034049267670108192626196467870450072124480393113435375707111405429844434909049<128>``` ```Number: n N=862751014878177192669246921523968294566576483833430066679513968164744011420420343829157650192501374428066076914577049981508132536348691220233943087987161990584331787629270593936633701623762319 ( 192 digits) SNFS difficulty: 206 digits. Divisors found: Tue Jul 13 23:33:38 2021 p65 factor: 62321402216712896823293790132767241588838041343835141111373628231 Tue Jul 13 23:33:38 2021 p128 factor: 13843575147396329756606438156046388463323867640423034049267670108192626196467870450072124480393113435375707111405429844434909049 Tue Jul 13 23:33:38 2021 elapsed time 02:21:14 (Msieve 1.54 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 46x10^205+17 = 51(204)3 # n: 862751014878177192669246921523968294566576483833430066679513968164744011420420343829157650192501374428066076914577049981508132536348691220233943087987161990584331787629270593936633701623762319 m: 100000000000000000000000000000000000000000 deg: 5 c5: 46 c0: 17 skew: 0.82 # Murphy_E = 8.103e-12 type: snfs lss: 1 rlim: 19500000 alim: 19500000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19500000/19500000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 36950000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8463224 hash collisions in 57136362 relations (50701035 unique) Msieve: matrix is 2453673 x 2453898 (854.9 MB) Sieving start time : 2021/07/13 09:19:30 Sieving end time : 2021/07/13 21:11:30 Total sieving time: 11hrs 52min 0secs. Total relation processing time: 1hrs 56min 55sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 9min 20sec. Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved) [ 0.153502] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472) [ 0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 6, 2009 14:00:00 UTC 2009 年 3 月 6 日 (金) 23 時 0 分 0 秒 (日本時間)
403e61800300Dmitry DomanovMay 8, 2011 07:05:50 UTC 2011 年 5 月 8 日 (日) 16 時 5 分 50 秒 (日本時間)
1500Dmitry DomanovOctober 17, 2013 11:19:53 UTC 2013 年 10 月 17 日 (木) 20 時 19 分 53 秒 (日本時間)
4511e61500 / 4077Dmitry DomanovDecember 30, 2013 13:11:49 UTC 2013 年 12 月 30 日 (月) 22 時 11 分 49 秒 (日本時間)

## 46×10206+179

### c185

name 名前 Bob Backstrom December 4, 2021 06:47:53 UTC 2021 年 12 月 4 日 (土) 15 時 47 分 53 秒 (日本時間) `76945806133492899080566380845970175404605438351211822617090122941173170437402063544645431149048497085993792644945532745595572553198550883206932138407769156533588383526363940466720334337<185>` ```32073322060812338802396791402060820006201175117649383611611<59> 2399059442224303534037820082867278021149892752549561881576046135805137426519063621518262331326919126341327533580743791500592467<127>``` ```Number: n N=76945806133492899080566380845970175404605438351211822617090122941173170437402063544645431149048497085993792644945532745595572553198550883206932138407769156533588383526363940466720334337 ( 185 digits) SNFS difficulty: 207 digits. Divisors found: Sat Dec 4 16:58:17 2021 p59 factor: 32073322060812338802396791402060820006201175117649383611611 Sat Dec 4 16:58:17 2021 p127 factor: 2399059442224303534037820082867278021149892752549561881576046135805137426519063621518262331326919126341327533580743791500592467 Sat Dec 4 16:58:17 2021 elapsed time 03:04:15 (Msieve 1.54 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.350). Factorization parameters were as follows: # # N = 46x10^206+17 = 51(205)3 # n: 76945806133492899080566380845970175404605438351211822617090122941173170437402063544645431149048497085993792644945532745595572553198550883206932138407769156533588383526363940466720334337 m: 100000000000000000000000000000000000000000 deg: 5 c5: 460 c0: 17 skew: 0.52 # Murphy_E = 5.353e-12 type: snfs lss: 1 rlim: 20000000 alim: 20000000 lpbr: 29 lpba: 29 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 20000000/20000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 56/56 Sieved special-q in [100000, 73200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 11595911 hash collisions in 66697251 relations (57108207 unique) Msieve: matrix is 2806782 x 2807008 (966.0 MB) Sieving start time : 2021/12/03 09:33:56 Sieving end time : 2021/12/04 13:52:56 Total sieving time: 28hrs 19min 0secs. Total relation processing time: 2hrs 43min 47sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 35sec. Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.118965] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved) [ 0.154164] x86/mm: Memory block size: 128MB [ 0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120) [ 0.152035] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:20:03 UTC 2013 年 10 月 17 日 (木) 20 時 20 分 3 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 30, 2013 13:12:07 UTC 2013 年 12 月 30 日 (月) 22 時 12 分 7 秒 (日本時間)

## 46×10207+179

### c208

name 名前 Jo Yeong Uk October 2, 2013 16:17:54 UTC 2013 年 10 月 3 日 (木) 1 時 17 分 54 秒 (日本時間) `5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<208>` `12857144385741798650630560034014123007<38>` `397530816934683065513765639296516490304989267058017598797819310992571984766487826679581332076879867696278967799742850043088796508297983275740854757367960934745202164079159<171>` ```GMP-ECM 6.4.4 [configured with GMP 5.1.2, --enable-asm-redc] [ECM] Input number is 5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (208 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1224186650 Step 1 took 4943ms Step 2 took 2354ms ********** Factor found in step 2: 12857144385741798650630560034014123007 Found probable prime factor of 38 digits: 12857144385741798650630560034014123007 Composite cofactor 397530816934683065513765639296516490304989267058017598797819310992571984766487826679581332076879867696278967799742850043088796508297983275740854757367960934745202164079159 has 171 digits``` `Core i7 980`

### c171

name 名前 Dmitry Domanov December 24, 2013 06:02:23 UTC 2013 年 12 月 24 日 (火) 15 時 2 分 23 秒 (日本時間) `397530816934683065513765639296516490304989267058017598797819310992571984766487826679581332076879867696278967799742850043088796508297983275740854757367960934745202164079159<171>` ```13018597723146422377374166695292575178367<41> 30535609547861898318616507785283570641544085616502886806717860733526721627971060665626240689035573941349443519573791456104005064777<131>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3780691958 Step 1 took 73733ms Step 2 took 28864ms ********** Factor found in step 2: 13018597723146422377374166695292575178367 Found probable prime factor of 41 digits: 13018597723146422377374166695292575178367```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:20:13 UTC 2013 年 10 月 17 日 (木) 20 時 20 分 13 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 23, 2013 15:17:30 UTC 2013 年 12 月 24 日 (火) 0 時 17 分 30 秒 (日本時間)

## 46×10208+179

### c159

composite cofactor 合成数の残り `479185414818967931822494264679297825796229654192781250084566756601037758256793530196336891881428375386345431691553974609589192985161789561083592404256428242723<159>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:20:24 UTC 2013 年 10 月 17 日 (木) 20 時 20 分 24 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 23, 2013 15:17:43 UTC 2013 年 12 月 24 日 (火) 0 時 17 分 43 秒 (日本時間)

## 46×10209+179

### c159

name 名前 Dmitry Domanov October 14, 2013 05:43:35 UTC 2013 年 10 月 14 日 (月) 14 時 43 分 35 秒 (日本時間) `300430296981027179421279512980058674307470498007421452338124997010768185333881888833565912981779480857963620059026141297730182770883775331352545705245625595793<159>` ```356631803315980487972393923569184259<36> 735289210605738738052639810334080121462657<42> 1145685625448469195721223316213156190637442150241747803843185665821815619447986011<82>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2630524526 Step 1 took 19542ms Step 2 took 7924ms ********** Factor found in step 2: 735289210605738738052639810334080121462657 Found probable prime factor of 42 digits: 735289210605738738052639810334080121462657 Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3435364672 Step 1 took 13995ms Step 2 took 5880ms ********** Factor found in step 2: 356631803315980487972393923569184259 Found probable prime factor of 36 digits: 356631803315980487972393923569184259```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)

## 46×10210+179

### c186

composite cofactor 合成数の残り `139578540427670629266401973181179204809613783385804726979014925736052273072095170364681799648216859832839645082432255788436011982568644998878981130720915652982149200027247659755224990809<186>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:20:35 UTC 2013 年 10 月 17 日 (木) 20 時 20 分 35 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 31, 2013 06:55:07 UTC 2013 年 12 月 31 日 (火) 15 時 55 分 7 秒 (日本時間)

## 46×10211+179

### c152

composite cofactor 合成数の残り `10483747623378541701241243522037818755557579771722869081135183632781760424293237854511495724001302093406811881297208566579787842174259803568635467302639<152>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:20:46 UTC 2013 年 10 月 17 日 (木) 20 時 20 分 46 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 30, 2013 13:12:32 UTC 2013 年 12 月 30 日 (月) 22 時 12 分 32 秒 (日本時間)

## 46×10212+179

### c202

composite cofactor 合成数の残り `3913502348128391199582994965251408384936429014603593830506876625893680067866417026413784837227690682919865148409120563540679312066929504227671819796859861942170928118084462605183890887237730101645493211<202>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:20:56 UTC 2013 年 10 月 17 日 (木) 20 時 20 分 56 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 27, 2013 09:44:42 UTC 2013 年 12 月 27 日 (金) 18 時 44 分 42 秒 (日本時間)

## 46×10213+179

### c141

name 名前 Erik Branger November 19, 2016 17:52:18 UTC 2016 年 11 月 20 日 (日) 2 時 52 分 18 秒 (日本時間) `513575030892889615026869060654806629131070722061061831099025048484344290101570247357744884915470511485103926761940177538705896880525614457349<141>` ```1112427134603655071683837214130064052521096677177569526201663527777417<70> 461670715247224225222806838389216490218138384827703563535204746459568797<72>``` ```Number: 51113_213 N = 513575030892889615026869060654806629131070722061061831099025048484344290101570247357744884915470511485103926761940177538705896880525614457349 (141 digits) Divisors found: r1=1112427134603655071683837214130064052521096677177569526201663527777417 (pp70) r2=461670715247224225222806838389216490218138384827703563535204746459568797 (pp72) Version: Msieve v. 1.51 (SVN 845) Total time: 365.23 hours. Factorization parameters were as follows: # Murphy_E = 1.931e-11, selected by Erik Branger # expecting poly E from 1.86e-011 to > 2.14e-011 n: 513575030892889615026869060654806629131070722061061831099025048484344290101570247357744884915470511485103926761940177538705896880525614457349 Y0: -2324966810684603591295413209 Y1: 404558120750779 c0: -2197543679163486042094148531589169920 c1: -233630331178677353446621832664 c2: 3567596919210414930198362 c3: 768187896570596801 c4: -168341998158 c5: 7560 skew: 4109778.28 type: gnfs # selected mechanically rlim: 19100000 alim: 19100000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19100000/19100000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 23006583 Relations: 3741832 relations Pruned matrix : 2305088 x 2305313 Polynomial selection time: 0.00 hours. Total sieving time: 358.25 hours. Total relation processing time: 0.19 hours. Matrix solve time: 5.26 hours. time per square root: 1.53 hours. Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,19100000,19100000,28,28,56,56,2.6,2.6,100000 total time: 365.23 hours. Intel64 Family 6 Model 58 Stepping 9, GenuineIntel Windows-post2008Server-6.2.9200 processors: 8, speed: 2.29GHz``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2013 16:42:48 UTC 2013 年 9 月 28 日 (土) 1 時 42 分 48 秒 (日本時間)
403e61610110Ignacio SantosSeptember 27, 2013 16:42:48 UTC 2013 年 9 月 28 日 (土) 1 時 42 分 48 秒 (日本時間)
1500Dmitry DomanovOctober 17, 2013 11:21:06 UTC 2013 年 10 月 17 日 (木) 20 時 21 分 6 秒 (日本時間)
4511e6431232Ignacio SantosSeptember 27, 2013 16:42:48 UTC 2013 年 9 月 28 日 (土) 1 時 42 分 48 秒 (日本時間)
230Ignacio SantosOctober 4, 2013 14:01:25 UTC 2013 年 10 月 4 日 (金) 23 時 1 分 25 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:31 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 31 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:40 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 40 秒 (日本時間)
1000Dmitry DomanovMay 6, 2014 09:57:36 UTC 2014 年 5 月 6 日 (火) 18 時 57 分 36 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:30 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 30 秒 (日本時間)

## 46×10214+179

### c186

composite cofactor 合成数の残り `266574892153207828684032016424152096177264465883572844343611659661074880282746553866986717452647386915157478083630636788146313281593534031027912109377929721588566234831704718518393380461<186>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:21:16 UTC 2013 年 10 月 17 日 (木) 20 時 21 分 16 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 30, 2013 13:12:53 UTC 2013 年 12 月 30 日 (月) 22 時 12 分 53 秒 (日本時間)

## 46×10215+179

### c182

name 名前 Dmitry Domanov October 14, 2013 05:45:35 UTC 2013 年 10 月 14 日 (月) 14 時 45 分 35 秒 (日本時間) `76510739061468426842243094229798139230556098599248975745722990904540699181839341043826652109336997399325179407001557183338435506929396068925904924037597431619948106656369940286134079<182>` `10858294881514684697308448399557981659343<41>` `7046294090955421999916986255412570054810437293690780225353671732410633056409980754149801381508202348954276963148717322973147497217614831902353<142>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1707436024 Step 1 took 22862ms Step 2 took 8968ms ********** Factor found in step 2: 10858294881514684697308448399557981659343 Found probable prime factor of 41 digits: 10858294881514684697308448399557981659343```

### c142

name 名前 Serge Batalov November 8, 2013 01:54:29 UTC 2013 年 11 月 8 日 (金) 10 時 54 分 29 秒 (日本時間) `7046294090955421999916986255412570054810437293690780225353671732410633056409980754149801381508202348954276963148717322973147497217614831902353<142>` ```63849561295242294840376731046641193158401<41> 110357752630016451640197000172853964482334652280373464102711944095925787226369549487350400355945867153<102>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1384687263 Step 1 took 33542ms Step 2 took 13268ms ********** Factor found in step 2: 63849561295242294840376731046641193158401 Found probable prime factor of 41 digits: 63849561295242294840376731046641193158401 Probable prime cofactor ```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:21:27 UTC 2013 年 10 月 17 日 (木) 20 時 21 分 27 秒 (日本時間)
4511e6460 / 4143230Ignacio SantosOctober 25, 2013 14:41:15 UTC 2013 年 10 月 25 日 (金) 23 時 41 分 15 秒 (日本時間)
230Ignacio SantosOctober 25, 2013 20:16:57 UTC 2013 年 10 月 26 日 (土) 5 時 16 分 57 秒 (日本時間)

## 46×10216+179

### c213

name 名前 Bob Backstrom October 23, 2017 17:40:50 UTC 2017 年 10 月 24 日 (火) 2 時 40 分 50 秒 (日本時間) `305633625014118944633804407768409442750171088387915512235311314423913837894582976207086713574783897094487299594038815470376793105968493159786587999229271728225265270053884536931837057412612037978300012623997554931<213>` ```509731131746408009886416971699228903947922348478958838833420497637828052929419158970313772481413261<99> 599597721188770012222117690380744708455609011493168090185961208055925717974488205288620900700842395877464482969471<114>``` ```Number: n N=305633625014118944633804407768409442750171088387915512235311314423913837894582976207086713574783897094487299594038815470376793105968493159786587999229271728225265270053884536931837057412612037978300012623997554931 ( 213 digits) SNFS difficulty: 217 digits. Divisors found: Tue Oct 24 03:52:29 2017 p99 factor: 509731131746408009886416971699228903947922348478958838833420497637828052929419158970313772481413261 Tue Oct 24 03:52:29 2017 p114 factor: 599597721188770012222117690380744708455609011493168090185961208055925717974488205288620900700842395877464482969471 Tue Oct 24 03:52:29 2017 elapsed time 06:11:42 (Msieve 1.53 - dependency 3) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.117). Factorization parameters were as follows: # # 46x10^216+17 51(215)3 # n: 305633625014118944633804407768409442750171088387915512235311314423913837894582976207086713574783897094487299594038815470376793105968493159786587999229271728225265270053884536931837057412612037978300012623997554931 m: 1000000000000000000000000000000000000 deg: 6 c6: 46 c0: 17 skew: 0.85 # Murphy_E = 3.025e-12 type: snfs lss: 1 rlim: 30000000 alim: 30000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 Factor base limits: 30000000/30000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 57400000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 11754002 hash collisions in 68525511 relations (58063887 unique) Msieve: matrix is 3860971 x 3861197 (1099.6 MB) Sieving start time: 2017/10/22 08:15:59 Sieving end time : 2017/10/23 21:38:48 Total sieving time: 37hrs 22min 49secs. Total relation processing time: 5hrs 31min 37sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 20min 23sec. Prototype def-par.txt line would be: snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000 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: 16297376K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406084K reserved, 0K cma-reserved) [ 0.100625] x86/mm: Memory block size: 128MB [ 0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.61 BogoMIPS (lpj=11977224) [ 0.098232] smpboot: Total of 16 processors activated (95817.79 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 3, 2013 20:55:50 UTC 2013 年 10 月 4 日 (金) 5 時 55 分 50 秒 (日本時間)
403e61610110Ignacio SantosOctober 3, 2013 20:55:50 UTC 2013 年 10 月 4 日 (金) 5 時 55 分 50 秒 (日本時間)
1500Dmitry DomanovOctober 17, 2013 11:21:38 UTC 2013 年 10 月 17 日 (木) 20 時 21 分 38 秒 (日本時間)
4511e6458232Ignacio SantosOctober 3, 2013 20:55:50 UTC 2013 年 10 月 4 日 (金) 5 時 55 分 50 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:39 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 39 秒 (日本時間)
1500Dmitry DomanovDecember 27, 2013 09:44:30 UTC 2013 年 12 月 27 日 (金) 18 時 44 分 30 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:52 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 52 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:21 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 21 秒 (日本時間)

## 46×10218+179

### c206

name 名前 Bob Backstrom June 28, 2020 03:28:36 UTC 2020 年 6 月 28 日 (日) 12 時 28 分 36 秒 (日本時間) `46479517016872917409471392246907090559991467266280995010262783061396788435441480399551137583195325802728766186313534584220952899284540404374844492780595686881112227327547354027853859463486889725787839832327<206>` ```404726520970665032728079553074003947089059934477289543<54> 110356598713494611238897442002566905881312088146141121517900656973843<69> 1040642685544655830062197997241604098546118978729198531346626998067496369324165288923<85>``` ```Number: n N=46479517016872917409471392246907090559991467266280995010262783061396788435441480399551137583195325802728766186313534584220952899284540404374844492780595686881112227327547354027853859463486889725787839832327 ( 206 digits) SNFS difficulty: 219 digits. Divisors found: Sun Jun 28 12:29:34 2020 found factor: 110356598713494611238897442002566905881312088146141121517900656973843 Sun Jun 28 12:51:43 2020 p54 factor: 404726520970665032728079553074003947089059934477289543 Sun Jun 28 12:51:43 2020 p69 factor: 110356598713494611238897442002566905881312088146141121517900656973843 Sun Jun 28 12:51:43 2020 p85 factor: 1040642685544655830062197997241604098546118978729198531346626998067496369324165288923 Sun Jun 28 12:51:43 2020 elapsed time 11:53:57 (Msieve 1.54 - dependency 5) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.126). Factorization parameters were as follows: # # N = 46x10^218+17 = 51(217)3 # n: 46479517016872917409471392246907090559991467266280995010262783061396788435441480399551137583195325802728766186313534584220952899284540404374844492780595686881112227327547354027853859463486889725787839832327 m: 1000000000000000000000000000000000000 deg: 6 c6: 4600 c0: 17 skew: 0.39 # Murphy_E = 1.967e-12 type: snfs lss: 1 rlim: 32000000 alim: 32000000 lpbr: 29 lpba: 29 mfbr: 58 mfba: 58 rlambda: 2.6 alambda: 2.6 Factor base limits: 32000000/32000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 58/58 Sieved special-q in [100000, 99200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 10208558 hash collisions in 58956490 relations (50801022 unique) Msieve: matrix is 4720682 x 4720907 (1663.2 MB) Sieving start time: 2020/06/25 22:30:20 Sieving end time : 2020/06/28 00:56:40 Total sieving time: 50hrs 26min 20secs. Total relation processing time: 10hrs 39min 9sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 55min 23sec. Prototype def-par.txt line would be: snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.149982] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16283140K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420320K reserved, 0K cma-reserved) [ 0.184563] x86/mm: Memory block size: 128MB [ 0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.60 BogoMIPS (lpj=11977216) [ 0.182229] smpboot: Total of 16 processors activated (95817.72 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:21:49 UTC 2013 年 10 月 17 日 (木) 20 時 21 分 49 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 27, 2013 09:44:17 UTC 2013 年 12 月 27 日 (金) 18 時 44 分 17 秒 (日本時間)

## 46×10220+179

### c146

name 名前 Ignacio Santos October 6, 2013 17:51:24 UTC 2013 年 10 月 7 日 (月) 2 時 51 分 24 秒 (日本時間) `63085163660867060980422297498228939768649281013062435370464872947651407645083097125109922171487575825778825846647111837383302728482641561706568061<146>` ```172578173136094627363371229196140416614478911<45> 365545436682298699446563522492366259653574435303805804039231557868693286877712054706710230926888227651<102>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:716865669 Step 1 took 28812ms Step 2 took 18203ms ********** Factor found in step 2: 172578173136094627363371229196140416614478911 Found probable prime factor of 45 digits: 172578173136094627363371229196140416614478911 Probable prime cofactor 365545436682298699446563522492366259653574435303805804039231557868693286877712054706710230926888227651 has 102 digits``` `GMP-ECM 7.0`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
300Ignacio SantosSeptember 27, 2013 16:43:35 UTC 2013 年 9 月 28 日 (土) 1 時 43 分 35 秒 (日本時間)
403e6110 / 2126Ignacio SantosSeptember 27, 2013 16:43:35 UTC 2013 年 9 月 28 日 (土) 1 時 43 分 35 秒 (日本時間)
4511e632 / 4437Ignacio SantosSeptember 27, 2013 16:43:35 UTC 2013 年 9 月 28 日 (土) 1 時 43 分 35 秒 (日本時間)

## 46×10221+179

### c211

name 名前 Dmitry Domanov October 14, 2013 05:44:15 UTC 2013 年 10 月 14 日 (月) 14 時 44 分 15 秒 (日本時間) `3060513324540952039951643951667206344309676350494022618423048214981443408755271136069933875981955813972431088198054386572546347533179028682180736578895894694990153320804587341033989509635533700188363974412397559<211>` ```198955396549954467737882295412686995932007<42> 15382911836585980048529228623156441986524417622258049981161196617103092044816034472288685669963749112416906498341675676705703964539397049165253391140588454264577670301937<170>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2497334277 Step 1 took 26705ms Step 2 took 10338ms ********** Factor found in step 2: 198955396549954467737882295412686995932007 Found probable prime factor of 42 digits: 198955396549954467737882295412686995932007```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)

## 46×10222+179

### c176

name 名前 Erik Branger December 16, 2021 16:43:27 UTC 2021 年 12 月 17 日 (金) 1 時 43 分 27 秒 (日本時間) `26890341769713481926783301595759962267278356351679217541518212553257611955917612774308254655619207376908059874105977027740240049522517839974193520162762249278469345883014441921<176>` ```19384247749755864053360640415236129518013590475253381<53> 216492177344652817824498960536770978385780380569958386040283<60> 6407744135735569391828480297239454607134957318360223366524719927<64>``` ```Number: 51113_222 N = 26890341769713481926783301595759962267278356351679217541518212553257611955917612774308254655619207376908059874105977027740240049522517839974193520162762249278469345883014441921 (176 digits) SNFS difficulty: 224 digits. Divisors found: r1=19384247749755864053360640415236129518013590475253381 (pp53) r2=216492177344652817824498960536770978385780380569958386040283 (pp60) r3=6407744135735569391828480297239454607134957318360223366524719927 (pp64) Version: Msieve v. 1.52 (SVN unknown) Total time: 82.93 hours. Factorization parameters were as follows: n: 26890341769713481926783301595759962267278356351679217541518212553257611955917612774308254655619207376908059874105977027740240049522517839974193520162762249278469345883014441921 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 4600 c0: 17 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 60000000 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/60000000 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 33903689 Relations: 8974540 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 27.05 hours. Total relation processing time: 0.46 hours. Pruned matrix : 7683368 x 7683593 Matrix solve time: 54.68 hours. time per square root: 0.74 hours. Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000 total time: 82.93 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.22000-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 KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:21:58 UTC 2013 年 10 月 17 日 (木) 20 時 21 分 58 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 31, 2013 06:55:28 UTC 2013 年 12 月 31 日 (火) 15 時 55 分 28 秒 (日本時間)

## 46×10223+179

### c108

name 名前 Dmitry Domanov October 2, 2013 20:57:03 UTC 2013 年 10 月 3 日 (木) 5 時 57 分 3 秒 (日本時間) `200389672077870154045157465362995460858090039082536993098527862811506352042587148537326990879421363638568783<108>` ```189525702314836402856207772195629<33> 1057321881044855522317685122430292725420226570406711059648804703932475509227<76>``` ```N=200389672077870154045157465362995460858090039082536993098527862811506352042587148537326990879421363638568783 ( 108 digits) Divisors found: r1=189525702314836402856207772195629 (pp33) r2=1057321881044855522317685122430292725420226570406711059648804703932475509227 (pp76) Version: Msieve v. 1.50 (SVN unknown) Total time: 11.53 hours. Scaled time: 10.76 units (timescale=0.933). Factorization parameters were as follows: n: 200389672077870154045157465362995460858090039082536993098527862811506352042587148537326990879421363638568783 skew: 2863238.97 c0: -84905504645983820059871322713 c1: -65354915262542753080298 c2: 31801373300562087 c3: 5523838042 c4: 3120 Y0: -89522010679688675054739636 Y1: 166343691565291 rlim: 2920000 alim: 2920000 lpbr: 26 lpba: 26 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 qintsize: 120000 type: gnfs Factor base limits: 2920000/2920000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 52/52 Sieved algebraic special-q in [1460000, 2300001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 416844 x 417070 Total sieving time: 10.97 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.25 hours. Time per square root: 0.19 hours. Prototype def-par.txt line would be: gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2920000,2920000,26,26,52,52,2.5,2.5,150000 total time: 11.53 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)

## 46×10224+179

### c217

composite cofactor 合成数の残り `1770125853112106806133866735053862799787028154564746618888476322577824305612788823118746867601163743998594649368778257993296418720893967306077953654288620261746886001621987098944899130322968878200222507051634006619057<217>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:22:09 UTC 2013 年 10 月 17 日 (木) 20 時 22 分 9 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 27, 2013 09:44:04 UTC 2013 年 12 月 27 日 (金) 18 時 44 分 4 秒 (日本時間)

## 46×10225+179

### c187

composite cofactor 合成数の残り `2113055756574232629741812754435524907387109795907015190270679429498181207806009755247345555388098157003871609557244990022003566274118479292382514902079904193688616826159455563271111680283<187>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:22:20 UTC 2013 年 10 月 17 日 (木) 20 時 22 分 20 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 31, 2013 06:55:44 UTC 2013 年 12 月 31 日 (火) 15 時 55 分 44 秒 (日本時間)

## 46×10229+179

### c197

composite cofactor 合成数の残り `16468353611619348843478716201951973243264658363452891164449661795742310295573447043181378134467594231431190639519826982500502492873776595325327301571719485195634193433904982579513551041100141926971<197>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:22:30 UTC 2013 年 10 月 17 日 (木) 20 時 22 分 30 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 31, 2013 06:55:55 UTC 2013 年 12 月 31 日 (火) 15 時 55 分 55 秒 (日本時間)

## 46×10230+179

### c202

composite cofactor 合成数の残り `6604371287741624460848001878262338753112457715482520447829539371157443968787744958007478124547709250535558187578750689774044810306834252675506773810755629061094973821380236738466682896292973036000025831<202>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:22:41 UTC 2013 年 10 月 17 日 (木) 20 時 22 分 41 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 27, 2013 09:43:47 UTC 2013 年 12 月 27 日 (金) 18 時 43 分 47 秒 (日本時間)

## 46×10231+179

### c214

name 名前 Dmitry Domanov October 14, 2013 05:46:34 UTC 2013 年 10 月 14 日 (月) 14 時 46 分 34 秒 (日本時間) `4162540266986604335857817831340228231161372525840247717894618170434326039681425184604047235254458287360650861074960905780582463044105352778609007665280183459233530659849235223410244463807566567849123511428084874741<214>` ```133554814523551472593457669261933<33> 31167279755778246398425257982592821069016564176953671499710308316119562964097773976643952105843840449701842277242153788560995062469905704289789644648206831524292699773810970528222377<182>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=300062283 Step 1 took 31341ms Step 2 took 11081ms ********** Factor found in step 2: 133554814523551472593457669261933 Found probable prime factor of 33 digits: 133554814523551472593457669261933```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)

## 46×10232+179

### c207

composite cofactor 合成数の残り `276143720974976362258625515997516013098074298748475506854777512245011261447646098949737326104800921319584476587761426909603808763574801166766610727020841653073673641090990770826363409425946243122445470145237<207>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:22:51 UTC 2013 年 10 月 17 日 (木) 20 時 22 分 51 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 27, 2013 09:43:34 UTC 2013 年 12 月 27 日 (金) 18 時 43 分 34 秒 (日本時間)

## 46×10233+179

### c172

composite cofactor 合成数の残り `1246638549093387409251680069671596117766593384172284337200114891860061785703399776457482372946007951356087347708576306356894643421235600766691834007681767312300007262088637<172>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:23:01 UTC 2013 年 10 月 17 日 (木) 20 時 23 分 1 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 31, 2013 06:56:15 UTC 2013 年 12 月 31 日 (火) 15 時 56 分 15 秒 (日本時間)

## 46×10234+179

### c178

composite cofactor 合成数の残り `1461396056381301022607376161398956770416035359517130083777307129739194547989024546562352666328458200452008178965029961473725987091512050594586744695633842731910089036577030247121<178>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:23:10 UTC 2013 年 10 月 17 日 (木) 20 時 23 分 10 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 31, 2013 06:56:24 UTC 2013 年 12 月 31 日 (火) 15 時 56 分 24 秒 (日本時間)

## 46×10235+179

### c234

name 名前 Dmitry Domanov October 28, 2013 05:10:01 UTC 2013 年 10 月 28 日 (月) 14 時 10 分 1 秒 (日本時間) `964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870021<234>` ```415925174858499583074082373042183511707657<42> 67807978613395445271452364832397916394233161<44>``` `34193491328276277432625654804780585557435038579846304230622441047473826880440488529879994540828420669592057992009159533922180828721113114141769545973<149>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3851680377 Step 1 took 178312ms Step 2 took 51570ms ********** Factor found in step 2: 67807978613395445271452364832397916394233161 Found probable prime factor of 44 digits: 67807978613395445271452364832397916394233161 Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1969885546 Step 1 took 114288ms Step 2 took 23253ms ********** Factor found in step 2: 415925174858499583074082373042183511707657 Found probable prime factor of 42 digits: 415925174858499583074082373042183511707657```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:23:20 UTC 2013 年 10 月 17 日 (木) 20 時 23 分 20 秒 (日本時間)
4511e641502000Dmitry DomanovOctober 25, 2013 09:53:09 UTC 2013 年 10 月 25 日 (金) 18 時 53 分 9 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:53 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 53 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:57 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 57 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:57 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 57 秒 (日本時間)
5043e66618Ignacio SantosNovember 16, 2023 16:26:12 UTC 2023 年 11 月 17 日 (金) 1 時 26 分 12 秒 (日本時間)

## 46×10236+179

### c198

name 名前 Dmitry Domanov October 14, 2013 09:06:24 UTC 2013 年 10 月 14 日 (月) 18 時 6 分 24 秒 (日本時間) `113838111191827544916973423149154713258932360131968975117110462635423589011215214024964968857358643443352850790301447425033669715418901751873602025073131515303983010516791033085202238643440394096819<198>` ```259684990623685421722615884745172843<36> 438370007132189512178534747213251673040718779570323558378187240060491894190232397757989798780891551080665624232456977203590786926891436736654502192293311798851033<162>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3621962476 Step 1 took 26727ms Step 2 took 9976ms ********** Factor found in step 2: 259684990623685421722615884745172843 Found probable prime factor of 36 digits: 259684990623685421722615884745172843```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)

## 46×10237+179

### c202

composite cofactor 合成数の残り `2239014331732332506400066853210105603140161436549013371798850271823173619964866700022073339478065698042419087071814651587102912646081509675101035194888484030081003284876989131563729140145141251909544667<202>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:33:42 UTC 2013 年 10 月 17 日 (木) 20 時 33 分 42 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 27, 2013 09:43:21 UTC 2013 年 12 月 27 日 (金) 18 時 43 分 21 秒 (日本時間)

## 46×10238+179

### c216

name 名前 Dmitry Domanov October 14, 2013 05:44:57 UTC 2013 年 10 月 14 日 (月) 14 時 44 分 57 秒 (日本時間) `479004474944178265944950106950200890585995926385580245333791327262445110143926645660212895702987387741219675601851689886542093330496419054069521942233856038325396562683439298686547967456915963127329844138578731475037<216>` `5500798407547826234422289839323991<34>` `87079081881444789405620543402509881114686304542823270501170133916362524333228787887829430330549468303811922773478370023726486666797586606911383294066240250262454746046939248998688107<182>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2038146720 Step 1 took 30644ms Step 2 took 11047ms ********** Factor found in step 2: 5500798407547826234422289839323991 Found probable prime factor of 34 digits: 5500798407547826234422289839323991```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:33:51 UTC 2013 年 10 月 17 日 (木) 20 時 33 分 51 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 31, 2013 06:56:43 UTC 2013 年 12 月 31 日 (火) 15 時 56 分 43 秒 (日本時間)

## 46×10239+179

### c237

composite cofactor 合成数の残り `731203306310602447941503735495151804164679701160387855666825623907168971546653950087426482276267683993005881417898585280559529486568113177555237641074550945795580988714035924336353520902877126053091718327769829915752662533778413606739787<237>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:34:01 UTC 2013 年 10 月 17 日 (木) 20 時 34 分 1 秒 (日本時間)
4511e640502000Dmitry DomanovOctober 25, 2013 09:52:54 UTC 2013 年 10 月 25 日 (金) 18 時 52 分 54 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:26 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 26 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:57 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 57 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:04 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 4 秒 (日本時間)
5043e6100 / 6587Dmitry DomanovMay 13, 2014 09:08:06 UTC 2014 年 5 月 13 日 (火) 18 時 8 分 6 秒 (日本時間)

## 46×10243+179

### c201

composite cofactor 合成数の残り `100699957864307998204685836411367098348892928717958611744572763741515491977074798519920861362703263569226381902825223750452227374327599624189915302788535291188352347169441214714100126177448405754975471<201>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:34:12 UTC 2013 年 10 月 17 日 (木) 20 時 34 分 12 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 27, 2013 09:43:07 UTC 2013 年 12 月 27 日 (金) 18 時 43 分 7 秒 (日本時間)

## 46×10244+179

### c229

composite cofactor 合成数の残り `2754847897656920186152518503434418789015625707910115814949920551667983813996457329244592237573538335753551611839427434751501790124123858364326636201159068134380825539835305178871817644224352160722193638777080129831496869718024279<229>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:34:22 UTC 2013 年 10 月 17 日 (木) 20 時 34 分 22 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 31, 2013 06:56:54 UTC 2013 年 12 月 31 日 (火) 15 時 56 分 54 秒 (日本時間)

## 46×10245+179

### c222

name 名前 Dmitry Domanov December 30, 2013 06:18:29 UTC 2013 年 12 月 30 日 (月) 15 時 18 分 29 秒 (日本時間) `659326871858290086378747464094797611756956240851791371911167033698735634732867677306342083469647528657212190907042251082022489862744881610474761998740044806151844237675998110772618180021814630611675001463421456322367803929<222>` `5142207265077257777153289719651470960801<40>` `128218649671326345986083936875339486929659923752153951873704633456574448878997697612051196000856013114051088124506552445295098867775510280036399063037138188591144276041826928533380729<183>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2604377576 Step 1 took 138082ms Step 2 took 35082ms ********** Factor found in step 2: 5142207265077257777153289719651470960801 Found probable prime factor of 40 digits: 5142207265077257777153289719651470960801```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:34:31 UTC 2013 年 10 月 17 日 (木) 20 時 34 分 31 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 27, 2013 09:42:55 UTC 2013 年 12 月 27 日 (金) 18 時 42 分 55 秒 (日本時間)

## 46×10246+179

### c232

name 名前 Dmitry Domanov October 15, 2013 05:42:00 UTC 2013 年 10 月 15 日 (火) 14 時 42 分 0 秒 (日本時間) `1033297875606837122217222691921916556673633527503675145971686151668505194473038214554204365412017425338452197458367816100055568743871139860541727230005691188135775024719818360682738421909512464313614057471749714979933642847694238233<232>` ```188018555361602879086862511648614514647<39> 5495722874902255833149222143643534259428274787464942914319538409301818529181049519154960642659187650563634038294749642030563570411548514703790955099286134085098806378246539274056282837210161039<193>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=439137768 Step 1 took 31655ms ********** Factor found in step 1: 188018555361602879086862511648614514647 Found probable prime factor of 39 digits: 188018555361602879086862511648614514647```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)

## 46×10247+179

### c200

name 名前 Dmitry Domanov December 30, 2013 06:26:39 UTC 2013 年 12 月 30 日 (月) 15 時 26 分 39 秒 (日本時間) `41900009159704149380595269604843862441270446741241183731120075333599781626916735194412247092343273693036471922954872557287207104415989429701930435889988944008036988281131764500165014172391615978951739<200>` ```254750513686478666691400793675106121061639<42> 164474679769519406258940393195556677675829430607648462869498652956870688431768097463237117520508019555235917430554747848128713404883645079555001523659692985901<159>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=944341835 Step 1 took 124085ms Step 2 took 35599ms ********** Factor found in step 2: 254750513686478666691400793675106121061639 Found probable prime factor of 42 digits: 254750513686478666691400793675106121061639```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:34:42 UTC 2013 年 10 月 17 日 (木) 20 時 34 分 42 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 27, 2013 09:42:35 UTC 2013 年 12 月 27 日 (金) 18 時 42 分 35 秒 (日本時間)

## 46×10248+179

### c217

composite cofactor 合成数の残り `1568300438282633288895667564087601148270791221359653862571831249503929917027140065396520363134575873421494228061421535318116026156772268802495389733704902474616852455881265649421955641517965146052785077418076758245071<217>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovOctober 17, 2013 11:34:53 UTC 2013 年 10 月 17 日 (木) 20 時 34 分 53 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 27, 2013 09:42:18 UTC 2013 年 12 月 27 日 (金) 18 時 42 分 18 秒 (日本時間)

## 46×10249+179

### c250

name 名前 Serge Batalov October 5, 2013 03:45:06 UTC 2013 年 10 月 5 日 (土) 12 時 45 分 6 秒 (日本時間) `5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<250>` `6489876632878792237811052541<28>` `787551351163961092817059217104071610647581664600462294300050321155288618220337993710534132280583367314405463667756016960110479798795193103764360304879374121902168512723870629749921624001633661711506390031449767702352712893<222>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3656755710 Step 1 took 23965ms Step 2 took 9285ms ********** Factor found in step 2: 6489876632878792237811052541 Found probable prime factor of 28 digits: 6489876632878792237811052541 Composite cofactor ```

### c222

name 名前 Serge Batalov October 5, 2013 16:27:04 UTC 2013 年 10 月 6 日 (日) 1 時 27 分 4 秒 (日本時間) `787551351163961092817059217104071610647581664600462294300050321155288618220337993710534132280583367314405463667756016960110479798795193103764360304879374121902168512723870629749921624001633661711506390031449767702352712893<222>` ```3113615665321103174049864652271<31> 462052709110425460325653845544517531<36>``` `547422137832039966678536937341077881673561206918756086820791636814110150551085530552692592920063526047880818555618541155602773914876081046084310554277673193<156>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2570190436 Step 1 took 24478ms Step 2 took 9380ms ********** Factor found in step 2: 3113615665321103174049864652271 Found probable prime factor of 31 digits: 3113615665321103174049864652271 Composite cofactor has 220 digits Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2731268192 Step 1 took 15829ms Step 2 took 6624ms ********** Factor found in step 2: 462052709110425460325653845544517531 Found probable prime factor of 36 digits: 462052709110425460325653845544517531 Composite cofactor ```

### c156

name 名前 Ignacio Santos October 8, 2013 17:58:21 UTC 2013 年 10 月 9 日 (水) 2 時 58 分 21 秒 (日本時間) `547422137832039966678536937341077881673561206918756086820791636814110150551085530552692592920063526047880818555618541155602773914876081046084310554277673193<156>` ```15645177343776741103237683110680906649339893<44> 34989832700732584174227723787524040576519400073058029454346056258112528159621985347083714363056512737203626408101<113>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1493283646 Step 1 took 36563ms Step 2 took 19312ms ********** Factor found in step 2: 15645177343776741103237683110680906649339893 Found probable prime factor of 44 digits: 15645177343776741103237683110680906649339893 Probable prime cofactor 34989832700732584174227723787524040576519400073058029454346056258112528159621985347083714363056512737203626408101 has 113 digits``` `GMP-ECM 7.0`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
403e61200 / 2318Serge BatalovOctober 5, 2013 03:43:36 UTC 2013 年 10 月 5 日 (土) 12 時 43 分 36 秒 (日本時間)

## 46×10250+179

### c251

name 名前 NFS@Home + Rich Dickerson September 2, 2022 11:57:03 UTC 2022 年 9 月 2 日 (金) 20 時 57 分 3 秒 (日本時間) `51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<251>` ```63722053804469976952071364500728487694519514203924864857957079900823243611891316430137441819891332496702521<107> 802094534930475938717930709048003635812922854357580143444689024765190476383085211430218396176449940412824943315105555201856738436364473480577553<144>``` ```p107 factor: 63722053804469976952071364500728487694519514203924864857957079900823243611891316430137441819891332496702521 p144 factor: 802094534930475938717930709048003635812922854357580143444689024765190476383085211430218396176449940412824943315105555201856738436364473480577553 Complete log at: https://pastebin.com/jJxfuNgM``` `GGNFS + Msieve` `GTX 1660 for LA phase.`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6218118Makoto KamadaSeptember 27, 2013 13:00:00 UTC 2013 年 9 月 27 日 (金) 22 時 0 分 0 秒 (日本時間)
100Serge BatalovOctober 5, 2013 03:40:55 UTC 2013 年 10 月 5 日 (土) 12 時 40 分 55 秒 (日本時間)
403e623001100Serge BatalovOctober 5, 2013 03:40:55 UTC 2013 年 10 月 5 日 (土) 12 時 40 分 55 秒 (日本時間)
1200Serge BatalovOctober 5, 2013 04:16:07 UTC 2013 年 10 月 5 日 (土) 13 時 16 分 7 秒 (日本時間)
4511e60--
5043e612521200Dmitry DomanovOctober 14, 2013 15:23:40 UTC 2013 年 10 月 15 日 (火) 0 時 23 分 40 秒 (日本時間)
52Serge BatalovNovember 5, 2013 23:25:35 UTC 2013 年 11 月 6 日 (水) 8 時 25 分 35 秒 (日本時間)
5511e71500Serge BatalovNovember 5, 2013 23:25:25 UTC 2013 年 11 月 6 日 (水) 8 時 25 分 25 秒 (日本時間)
6026e78520 / 41301520Serge BatalovNovember 5, 2013 23:25:25 UTC 2013 年 11 月 6 日 (水) 8 時 25 分 25 秒 (日本時間)
8000yoyo@HomeAugust 15, 2022 20:24:59 UTC 2022 年 8 月 16 日 (火) 5 時 24 分 59 秒 (日本時間)

## 46×10252+179

### c233

composite cofactor 合成数の残り `57192539220373605145209430687273235798376412618553244079236760549324556323222636305188421618268068949131632414381429970003186928482581473750665677675295501911254981934005390197935338701977588335336762938720207887855496258896352747709<233>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:27:47 UTC 2021 年 5 月 8 日 (土) 2 時 27 分 47 秒 (日本時間)
403e62104610Marlon TrifunovicFebruary 28, 2022 23:06:25 UTC 2022 年 3 月 1 日 (火) 8 時 6 分 25 秒 (日本時間)
1494ebinaJuly 27, 2022 10:21:38 UTC 2022 年 7 月 27 日 (水) 19 時 21 分 38 秒 (日本時間)

## 46×10253+179

### c228

composite cofactor 合成数の残り `388561108572082284381631368367028231246092089182138309086720936441804279104020165223308885533535226595416758162379124172833250526617124538171891643315346402323751514212928580194219265711982734088170748897418756068732511744710757<228>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:27:57 UTC 2021 年 5 月 8 日 (土) 2 時 27 分 57 秒 (日本時間)
403e62104610Marlon TrifunovicFebruary 19, 2022 11:02:01 UTC 2022 年 2 月 19 日 (土) 20 時 2 分 1 秒 (日本時間)
1494ebinaJuly 27, 2022 10:22:20 UTC 2022 年 7 月 27 日 (水) 19 時 22 分 20 秒 (日本時間)

## 46×10256+179

### c190

name 名前 Marlon Trifunovic February 17, 2022 16:45:50 UTC 2022 年 2 月 18 日 (金) 1 時 45 分 50 秒 (日本時間) `1499900839359825497976816167358768652725212616494915407485089168281597373793391028748996555527363583249004063369411801518592234167887513079475353558610609830136149586574257593125705364384721<190>` ```23943349332070059747601773960511609<35> 62643735367083215961833004107273718804333799882446072436339281606764732792870661526038179845592530509670548490799809588399257394181572823295619380293689369<155>``` ```Run 255 out of 610: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1612874374 Step 1 took 16671ms Step 2 took 104ms ********** Factor found in step 2: 23943349332070059747601773960511609 Found prime factor of 35 digits: 23943349332070059747601773960511609 Prime cofactor 62643735367083215961833004107273718804333799882446072436339281606764732792870661526038179845592530509670548490799809588399257394181572823295619380293689369 has 155 digits``` `GMP-ECM 7.0.5-dev` `Intel Xeon CPU E5-2695 v4 @ 2.10GHz`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:28:08 UTC 2021 年 5 月 8 日 (土) 2 時 28 分 8 秒 (日本時間)

## 46×10258+179

### c258

composite cofactor 合成数の残り `730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730159<258>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:28:28 UTC 2021 年 5 月 8 日 (土) 2 時 28 分 28 秒 (日本時間)
403e62210610Marlon TrifunovicMarch 8, 2022 05:43:14 UTC 2022 年 3 月 8 日 (火) 14 時 43 分 14 秒 (日本時間)
1600ebinaApril 16, 2024 04:03:19 UTC 2024 年 4 月 16 日 (火) 13 時 3 分 19 秒 (日本時間)

## 46×10259+179

### c250

composite cofactor 合成数の残り `3151471112578800809653960975379703986644269146945397914818852234565953397814080516087476611676823911192200485260095032600027113636500312271417846236477456593018558509057535231308782608668730031937892516561612069860418865243772936291189134750741256837<250>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:28:38 UTC 2021 年 5 月 8 日 (土) 2 時 28 分 38 秒 (日本時間)
403e62110610Marlon TrifunovicMarch 4, 2022 14:09:51 UTC 2022 年 3 月 4 日 (金) 23 時 9 分 51 秒 (日本時間)
1500ebinaMay 7, 2024 01:35:50 UTC 2024 年 5 月 7 日 (火) 10 時 35 分 50 秒 (日本時間)

## 46×10261+179

### c193

composite cofactor 合成数の残り `1697889186431561471333397851260746423945187860633170105442410445228640664277028347473283722520877960678436421840885667188504466397812058080673917196597084219941746841110783013245398239570245899<193>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:28:49 UTC 2021 年 5 月 8 日 (土) 2 時 28 分 49 秒 (日本時間)
403e62110610Marlon TrifunovicFebruary 17, 2022 23:49:14 UTC 2022 年 2 月 18 日 (金) 8 時 49 分 14 秒 (日本時間)
1500ebinaMay 7, 2024 03:25:20 UTC 2024 年 5 月 7 日 (火) 12 時 25 分 20 秒 (日本時間)

## 46×10262+179

### c258

composite cofactor 合成数の残り `322034811963173219024976599970456806380769761211186929307058092979851121906278068659222061904891918816424055440393106494812089186841097522642197621562890948511534096835867957326186960810463611116361678697467196203909642632368559041232357217815245828074014801<258>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:29:03 UTC 2021 年 5 月 8 日 (土) 2 時 29 分 3 秒 (日本時間)
403e62104610Marlon TrifunovicMarch 7, 2022 19:06:21 UTC 2022 年 3 月 8 日 (火) 4 時 6 分 21 秒 (日本時間)
1494ebinaMay 8, 2024 05:03:40 UTC 2024 年 5 月 8 日 (水) 14 時 3 分 40 秒 (日本時間)

## 46×10263+179

### c249

composite cofactor 合成数の残り `298152633051581330790542073512765835263272656213103529837578433316599464502214564922657416347320987556389481288539244224045221293453190292395463353369895779472115231613867149709831117578955299810376199023898198607158110054315329994288128652993417637<249>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:29:11 UTC 2021 年 5 月 8 日 (土) 2 時 29 分 11 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 4, 2022 08:14:31 UTC 2022 年 3 月 4 日 (金) 17 時 14 分 31 秒 (日本時間)
2350Ignacio SantosMay 31, 2024 10:22:47 UTC 2024 年 5 月 31 日 (金) 19 時 22 分 47 秒 (日本時間)

## 46×10264+179

### c230

composite cofactor 合成数の残り `24044731108148374259073203307101410050267733515466517223625930021944352515980219036918142731576558273669792803993016463342952720649044942824706303162353288379426472270825222652962680049305861185360550381598332305270847639442054477<230>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:29:21 UTC 2021 年 5 月 8 日 (土) 2 時 29 分 21 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 19, 2022 17:22:32 UTC 2022 年 2 月 20 日 (日) 2 時 22 分 32 秒 (日本時間)
2350Ignacio SantosMay 31, 2024 10:22:57 UTC 2024 年 5 月 31 日 (金) 19 時 22 分 57 秒 (日本時間)

## 46×10265+179

### c238

composite cofactor 合成数の残り `1762694007117803359536361397696794584636107300260520472291612680863105802829381205951084211483331428410434383465472250136474054275519859543740024094710508791704671165295601528837318508942058505436446316616840301493979363602028902188999379<238>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:29:37 UTC 2021 年 5 月 8 日 (土) 2 時 29 分 37 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 1, 2022 22:25:45 UTC 2022 年 3 月 2 日 (水) 7 時 25 分 45 秒 (日本時間)
2350Ignacio SantosMay 31, 2024 10:35:44 UTC 2024 年 5 月 31 日 (金) 19 時 35 分 44 秒 (日本時間)

## 46×10267+179

### c241

name 名前 Ignacio Santos May 7, 2021 17:25:29 UTC 2021 年 5 月 8 日 (土) 2 時 25 分 29 秒 (日本時間) `4111826994657008438602577758788813183155773156550564767274516023242029607043741566442168786206698274746545949854923089963775834183511220540238281581091928191353269086463823004858056169230614698203802953127434358971043025138638930759899361521<241>` `2241962245904111309189560897<28>` `1834030435690428310623493057790350909164637772563548347320731881644094255686933280463303476348592310240707569710214018795992112771175585984978074492749607878254362741171015039183649488225812039389914524579776457393<214>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2717381659 Step 1 took 3703ms ********** Factor found in step 2: 2241962245904111309189560897 Found prime factor of 28 digits: 2241962245904111309189560897 Composite cofactor 1834030435690428310623493057790350909164637772563548347320731881644094255686933280463303476348592310240707569710214018795992112771175585984978074492749607878254362741171015039183649488225812039389914524579776457393 has 214 digits ``` `GMP-ECM`

### c214

name 名前 Ignacio Santos May 31, 2024 10:36:26 UTC 2024 年 5 月 31 日 (金) 19 時 36 分 26 秒 (日本時間) `1834030435690428310623493057790350909164637772563548347320731881644094255686933280463303476348592310240707569710214018795992112771175585984978074492749607878254362741171015039183649488225812039389914524579776457393<214>` `3052550719959140337406470923756847469<37>` `600818988427808194377991777055343506769767150981478351538215292275614266863625377094919842653758959842453534930832655854893355671423411419112450266179383282144360431541259274197<177>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1387044511 Step 1 took 7359ms Step 2 took 3531ms ********** Factor found in step 1: 3052550719959140337406470923756847469 Found prime factor of 37 digits: 3052550719959140337406470923756847469 Composite cofactor 600818988427808194377991777055343506769767150981478351538215292275614266863625377094919842653758959842453534930832655854893355671423411419112450266179383282144360431541259274197 has 177 digits``` `GMP-ECM`

### c177

name 名前 Ignacio Santos June 4, 2024 07:05:00 UTC 2024 年 6 月 4 日 (火) 16 時 5 分 0 秒 (日本時間) `600818988427808194377991777055343506769767150981478351538215292275614266863625377094919842653758959842453534930832655854893355671423411419112450266179383282144360431541259274197<177>` ```682971732122667101725970340805946143534417171<45> 879712819973486651422146790894823129722783382953375625822887927400839623458281349273117008459119841777189469371495987959430068774007<132>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2681455335 Step 1 took 27422ms Step 2 took 11359ms ********** Factor found in step 2: 682971732122667101725970340805946143534417171 Found prime factor of 45 digits: 682971732122667101725970340805946143534417171 Prime cofactor 879712819973486651422146790894823129722783382953375625822887927400839623458281349273117008459119841777189469371495987959430068774007 has 132 digits ``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 8, 2021 16:21:49 UTC 2021 年 5 月 9 日 (日) 1 時 21 分 49 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 20, 2022 02:58:46 UTC 2022 年 2 月 20 日 (日) 11 時 58 分 46 秒 (日本時間)
2350Ignacio SantosJune 4, 2024 06:05:58 UTC 2024 年 6 月 4 日 (火) 15 時 5 分 58 秒 (日本時間)

## 46×10269+179

### c266

composite cofactor 合成数の残り `13676677399885234837470528246798616871668168127989914937012954192050282601779751976428543820371708306202967838995775095959731104629555299861151992483773811541331811059674911324586206178884994009020660702446044021062083195823261649704613500069869982368978917104469003<266>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:29:54 UTC 2021 年 5 月 8 日 (土) 2 時 29 分 54 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 8, 2022 06:16:00 UTC 2022 年 3 月 8 日 (火) 15 時 16 分 0 秒 (日本時間)
2350Ignacio SantosMay 31, 2024 10:51:01 UTC 2024 年 5 月 31 日 (金) 19 時 51 分 1 秒 (日本時間)

## 46×10273+179

### c268

composite cofactor 合成数の残り `2558283965404659625045666759154193502926426589513271459567183957245958370157328346236817121015118179093558836054207367713221706505543717930728677690312273595344990988444731862086470776638840879353385941662338439501283674594510601111641120810900380811691224246214142939<268>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:30:15 UTC 2021 年 5 月 8 日 (土) 2 時 30 分 15 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 24, 2022 00:55:51 UTC 2022 年 2 月 24 日 (木) 9 時 55 分 51 秒 (日本時間)
2350Ignacio SantosMay 31, 2024 14:32:38 UTC 2024 年 5 月 31 日 (金) 23 時 32 分 38 秒 (日本時間)

## 46×10274+179

### c255

composite cofactor 合成数の残り `303308866172948035604731842486317240796073011805134988750858462915160505933135329661426554201435886934875004158518760504335351796833503490591608546176752681978753199264681189131271329568095181364233989370433675121326356777995221991093665592327125296420367<255>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:30:52 UTC 2021 年 5 月 8 日 (土) 2 時 30 分 52 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 7, 2022 05:04:14 UTC 2022 年 3 月 7 日 (月) 14 時 4 分 14 秒 (日本時間)
2350Ignacio SantosMay 31, 2024 14:32:48 UTC 2024 年 5 月 31 日 (金) 23 時 32 分 48 秒 (日本時間)

## 46×10275+179

### c245

name 名前 Ignacio Santos May 31, 2024 14:33:10 UTC 2024 年 5 月 31 日 (金) 23 時 33 分 10 秒 (日本時間) `88858952933067624713615846675620384169845578636936079200945639798788729879789827322512640175566414624843168219536671395918547454604700228267430983238485797025396804204995189271438356987078930486902711522219346796755702442371101865995030189043143<245>` `2966482852859266707830215341593589570499<40>` `29954312005350126207794963506261755426047719112425382947913570580218266699265171130194082870662896085642052231965013887880409962121720682133812679495437289668902843528760965834817084573257978473377600125357<206>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:301731947 Step 1 took 8937ms Step 2 took 3938ms ********** Factor found in step 2: 2966482852859266707830215341593589570499 Found prime factor of 40 digits: 2966482852859266707830215341593589570499 Composite cofactor 29954312005350126207794963506261755426047719112425382947913570580218266699265171130194082870662896085642052231965013887880409962121720682133812679495437289668902843528760965834817084573257978473377600125357 has 206 digits``` `GMP-ECM`

### c206

name 名前 Ignacio Santos June 4, 2024 06:06:32 UTC 2024 年 6 月 4 日 (火) 15 時 6 分 32 秒 (日本時間) `29954312005350126207794963506261755426047719112425382947913570580218266699265171130194082870662896085642052231965013887880409962121720682133812679495437289668902843528760965834817084573257978473377600125357<206>` `1126202851049607327302480278052912122687247<43>` `26597616919041780617749537918083457622116982723866903392314726003876416165976124997954141321736503336434532653363152237314171544585135581108568968919296048159968131<164>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3190416265 Step 1 took 8750ms Step 2 took 3875ms ********** Factor found in step 2: 1126202851049607327302480278052912122687247 Found prime factor of 43 digits: 1126202851049607327302480278052912122687247 Composite cofactor 26597616919041780617749537918083457622116982723866903392314726003876416165976124997954141321736503336434532653363152237314171544585135581108568968919296048159968131 has 164 digits``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:31:05 UTC 2021 年 5 月 8 日 (土) 2 時 31 分 5 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 3, 2022 16:15:25 UTC 2022 年 3 月 4 日 (金) 1 時 15 分 25 秒 (日本時間)
2350Ignacio SantosJune 12, 2024 05:56:15 UTC 2024 年 6 月 12 日 (水) 14 時 56 分 15 秒 (日本時間)
4511e64480Ignacio SantosJune 21, 2024 12:16:38 UTC 2024 年 6 月 21 日 (金) 21 時 16 分 38 秒 (日本時間)

## 46×10277+179

### c188

composite cofactor 合成数の残り `94354212862175215709813296802347301678668253062651209876060556789950472787715620171760494485351805352241544171500043598010226324849745091570003495327186818771647503174946241997374845898061<188>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e61200Dmitry DomanovFebruary 26, 2021 21:53:01 UTC 2021 年 2 月 27 日 (土) 6 時 53 分 1 秒 (日本時間)
403e633501000Dmitry DomanovFebruary 26, 2021 21:53:29 UTC 2021 年 2 月 27 日 (土) 6 時 53 分 29 秒 (日本時間)
2350Ignacio SantosMarch 3, 2021 20:46:06 UTC 2021 年 3 月 4 日 (木) 5 時 46 分 6 秒 (日本時間)
4511e64480Ignacio SantosApril 2, 2021 22:30:29 UTC 2021 年 4 月 3 日 (土) 7 時 30 分 29 秒 (日本時間)
5043e61792 / 6414Dmitry DomanovApril 14, 2024 09:03:29 UTC 2024 年 4 月 14 日 (日) 18 時 3 分 29 秒 (日本時間)

## 46×10278+179

### c254

composite cofactor 合成数の残り `17613171783367962738098494041018802179168323836475297032515590236549850918040266115737659867746829800341525363297269685388160979937539474618037806463498595516386774525700354653219231988582511934657231162165936348172585347295015130757036954086422710631157<254>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:31:20 UTC 2021 年 5 月 8 日 (土) 2 時 31 分 20 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 8, 2022 06:52:36 UTC 2022 年 3 月 8 日 (火) 15 時 52 分 36 秒 (日本時間)
2350Ignacio SantosMay 31, 2024 15:04:21 UTC 2024 年 6 月 1 日 (土) 0 時 4 分 21 秒 (日本時間)

## 46×10281+179

### c265

name 名前 Marlon Trifunovic April 15, 2022 00:37:10 UTC 2022 年 4 月 15 日 (金) 9 時 37 分 10 秒 (日本時間) `1966761079234322518035361604959465830392942125225977695956628346912758881573219604307690005313929634074111799406549020595191928799515975261009489266357314216554818226776742915705738645204411338680190206657795314787463915396845679309268408661715113760049137604190279<265>` `148718886755159618647846644672575470109<39>` `13224689359544901005681274933992601817914860536037817550126358693900958204188827411173075124794483163741972442790797340723785882831204060467692233389280742676599800530252082532530391227824868105081523855536226341684236947134131<227>` ```Run 64 out of 610: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1415320843 Step 1 took 26397ms Step 2 took 10187ms ********** Factor found in step 2: 148718886755159618647846644672575470109 Found prime factor of 39 digits: 148718886755159618647846644672575470109 Composite cofactor 13224689359544901005681274933992601817914860536037817550126358693900958204188827411173075124794483163741972442790797340723785882831204060467692233389280742676599800530252082532530391227824868105081523855536226341684236947134131 has 227 digits``` `GMP-ECM 7.0.5-dev` `Intel Xeon CPU E5-2695 v4 @ 2.10GHz`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:31:33 UTC 2021 年 5 月 8 日 (土) 2 時 31 分 33 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 7, 2022 02:42:55 UTC 2022 年 3 月 7 日 (月) 11 時 42 分 55 秒 (日本時間)
2350Ignacio SantosMay 31, 2024 15:04:33 UTC 2024 年 6 月 1 日 (土) 0 時 4 分 33 秒 (日本時間)

## 46×10283+179

### c250

name 名前 Marlon Trifunovic April 15, 2022 00:37:14 UTC 2022 年 4 月 15 日 (金) 9 時 37 分 14 秒 (日本時間) `4069645978737590075541613302604757939982790701246955890162323796249019834658930138434987768866166851704516742408586756435503895079567500419568710360835178444318990991772963894444333858548283424893882595348838171745860365813692553734065553427620306763<250>` `10900987519368781720879216384341319<35>` `373328193570231851383156692808740544679762176774515855759338782321709088087043453461533903753549575841860439367109584512319762437190582064272842718172209410885510408899567807267672818964394558572933336360598638630877<216>` ```Run 420 out of 610: Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3621826815 Step 1 took 19750ms ********** Factor found in step 1: 10900987519368781720879216384341319 Found prime factor of 35 digits: 10900987519368781720879216384341319 Composite cofactor 373328193570231851383156692808740544679762176774515855759338782321709088087043453461533903753549575841860439367109584512319762437190582064272842718172209410885510408899567807267672818964394558572933336360598638630877 has 216 digits``` `GMP-ECM 7.0.5-dev` `Intel Xeon CPU E5-2695 v4 @ 2.10GHz`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:31:43 UTC 2021 年 5 月 8 日 (土) 2 時 31 分 43 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 4, 2022 15:46:00 UTC 2022 年 3 月 5 日 (土) 0 時 46 分 0 秒 (日本時間)
2350Ignacio SantosMay 31, 2024 15:39:44 UTC 2024 年 6 月 1 日 (土) 0 時 39 分 44 秒 (日本時間)

## 46×10284+179

### c274

composite cofactor 合成数の残り `5978486277123420785651176078737490475724215326827537129850566464776041894879560863754480889905672622723977992246368141475020744689780619559795159141894563344298210102279776338283385970819649601232232562787269779519827407908959750858146065525674760500677605182100971426710277<274>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:31:53 UTC 2021 年 5 月 8 日 (土) 2 時 31 分 53 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 10, 2022 05:16:33 UTC 2022 年 3 月 10 日 (木) 14 時 16 分 33 秒 (日本時間)
2350Ignacio SantosMay 31, 2024 15:39:57 UTC 2024 年 6 月 1 日 (土) 0 時 39 分 57 秒 (日本時間)

## 46×10285+179

### c280

composite cofactor 合成数の残り `7066446254990869690583361253476960389649991236070459842845307656940010633465429792782608308266651427721699382008551321678920038091217682337740184283701226351023874295909280348504839824401882931413840741042856921207741691280174301577799192182298337065492284746445923175132499707741<280>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:32:06 UTC 2021 年 5 月 8 日 (土) 2 時 32 分 6 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 10, 2022 13:04:16 UTC 2022 年 3 月 10 日 (木) 22 時 4 分 16 秒 (日本時間)
2350Ignacio SantosMay 31, 2024 15:52:54 UTC 2024 年 6 月 1 日 (土) 0 時 52 分 54 秒 (日本時間)

## 46×10286+179

### c257

composite cofactor 合成数の残り `14265166627170237665033471013424354739788886046799261368990140231589906457199230245307634225979815553032693445910892251066292195158607006834924029009181591288672112970135413733000147300081118096896982794772169223218387956739336241435415790432887244745647637<257>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:32:17 UTC 2021 年 5 月 8 日 (土) 2 時 32 分 17 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 2, 2022 03:09:38 UTC 2022 年 3 月 2 日 (水) 12 時 9 分 38 秒 (日本時間)
2350Ignacio SantosMay 31, 2024 16:11:36 UTC 2024 年 6 月 1 日 (土) 1 時 11 分 36 秒 (日本時間)

## 46×10287+179

### c284

composite cofactor 合成数の残り `60651609245414870192371082367522381762324802552641641285286710705009031815724588953496037867700381050327650541249686853104439434094115475389950292050683649117255382830320530569729572933560117611381406326226546945664069195575069551573645557269622773360758408818216578985535909708213019<284>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:32:27 UTC 2021 年 5 月 8 日 (土) 2 時 32 分 27 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 10, 2022 08:04:31 UTC 2022 年 3 月 10 日 (木) 17 時 4 分 31 秒 (日本時間)
2350Ignacio SantosMay 31, 2024 16:30:32 UTC 2024 年 6 月 1 日 (土) 1 時 30 分 32 秒 (日本時間)

## 46×10288+179

### c271

composite cofactor 合成数の残り `2286407190343203564092314205463415235104933850821132542606370848154185634867308185455669013374674897404757386826943877312201721978504074393906855123868062192587342390107936804260323997340439363321347033772497683788093825082349449848638977489403089308181147272968325878979<271>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:32:37 UTC 2021 年 5 月 8 日 (土) 2 時 32 分 37 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 10, 2022 02:38:41 UTC 2022 年 3 月 10 日 (木) 11 時 38 分 41 秒 (日本時間)
2350Ignacio SantosJune 1, 2024 06:38:40 UTC 2024 年 6 月 1 日 (土) 15 時 38 分 40 秒 (日本時間)

## 46×10289+179

### c288

composite cofactor 合成数の残り `338484179543782192788815305371596762325239146431199411331861662987490802060338484179543782192788815305371596762325239146431199411331861662987490802060338484179543782192788815305371596762325239146431199411331861662987490802060338484179543782192788815305371596762325239146431199411331861663<288>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:32:46 UTC 2021 年 5 月 8 日 (土) 2 時 32 分 46 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 10, 2022 14:34:21 UTC 2022 年 3 月 10 日 (木) 23 時 34 分 21 秒 (日本時間)
2350Ignacio SantosJune 1, 2024 06:38:57 UTC 2024 年 6 月 1 日 (土) 15 時 38 分 57 秒 (日本時間)

## 46×10291+179

### c238

composite cofactor 合成数の残り `1447228572464481895353323896457185619696392586731020452119443701120359641706980603379444954509041003632265446610468128896765648396911538519879107565054394524744133674695870029003080368069573798570312743469696451049988152100974833319101343<238>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:32:58 UTC 2021 年 5 月 8 日 (土) 2 時 32 分 58 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 3, 2022 06:58:57 UTC 2022 年 3 月 3 日 (木) 15 時 58 分 57 秒 (日本時間)
2350Ignacio SantosJune 1, 2024 07:07:48 UTC 2024 年 6 月 1 日 (土) 16 時 7 分 48 秒 (日本時間)

## 46×10292+179

### c262

composite cofactor 合成数の残り `3484727564328658519697962202592522732213385204350358432420853752029175776277264611070238027246946895591699947346606103284125918674182142564888136001162562869140868423885328911654729916968190620599610362169909573148287103514593353009804907370943490333299392933769<262>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:33:08 UTC 2021 年 5 月 8 日 (土) 2 時 33 分 8 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 7, 2022 19:51:17 UTC 2022 年 3 月 8 日 (火) 4 時 51 分 17 秒 (日本時間)
2350Ignacio SantosJune 1, 2024 07:08:34 UTC 2024 年 6 月 1 日 (土) 16 時 8 分 34 秒 (日本時間)

## 46×10293+179

### c265

name 名前 Ignacio Santos May 7, 2021 17:26:33 UTC 2021 年 5 月 8 日 (土) 2 時 26 分 33 秒 (日本時間) `3955594661053333942437265868096304780913090236339653858729432625731345676534259849482670722522801245942719097574466661978131963762829450095296102890990426868710615339677742501025660576505289264127863090701197014105877802478113911148097236477551981485371143359631449<265>` `230504750300552655475668204588135871487<39>` `17160577627557248893910396201120510982152708361009592305186684811152756947932859985744769612584950374598023661349176005453084784297450787740329538201697065675038084293845040728479381601310170768271719656495835748529548449749927<227>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1483262830 Step 1 took 3000ms Step 2 took 1343ms ********** Factor found in step 2: 230504750300552655475668204588135871487 Found prime factor of 39 digits: 230504750300552655475668204588135871487 Composite cofactor 17160577627557248893910396201120510982152708361009592305186684811152756947932859985744769612584950374598023661349176005453084784297450787740329538201697065675038084293845040728479381601310170768271719656495835748529548449749927 has 227 digits ``` `GMP-ECM`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 8, 2021 16:24:38 UTC 2021 年 5 月 9 日 (日) 1 時 24 分 38 秒 (日本時間)
403e62960610Marlon TrifunovicFebruary 22, 2022 00:04:05 UTC 2022 年 2 月 22 日 (火) 9 時 4 分 5 秒 (日本時間)
2350Ignacio SantosJune 1, 2024 07:21:18 UTC 2024 年 6 月 1 日 (土) 16 時 21 分 18 秒 (日本時間)

## 46×10294+179

### c293

composite cofactor 合成数の残り `25177887246852764094143404488232074438970990695128626163108921729611384783798576902025177887246852764094143404488232074438970990695128626163108921729611384783798576902025177887246852764094143404488232074438970990695128626163108921729611384783798576902025177887246852764094143404488232074438971<293>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:33:23 UTC 2021 年 5 月 8 日 (土) 2 時 33 分 23 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 11, 2022 02:20:42 UTC 2022 年 3 月 11 日 (金) 11 時 20 分 42 秒 (日本時間)
2350Ignacio SantosJune 1, 2024 07:45:06 UTC 2024 年 6 月 1 日 (土) 16 時 45 分 6 秒 (日本時間)

## 46×10295+179

### c277

composite cofactor 合成数の残り `4307986218710956351888660273259595684791925523691403566511699496257692298112979780442627061287674098340868050328397462842872301532975255694591523765152434663252019369992743391129455394089937891576314375516530174637402592676391184553641825994878089845536548536837887064992766171<277>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:33:33 UTC 2021 年 5 月 8 日 (土) 2 時 33 分 33 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 1, 2022 18:51:44 UTC 2022 年 3 月 2 日 (水) 3 時 51 分 44 秒 (日本時間)
2350Ignacio SantosJune 1, 2024 08:15:45 UTC 2024 年 6 月 1 日 (土) 17 時 15 分 45 秒 (日本時間)

## 46×10296+179

### c276

composite cofactor 合成数の残り `164371869982245447793839488720766689463881380620557025672347959482063527855392087095283311797740640949716534657664104147550337184711520435504396219076575834186182524762331990215117194510179872167415470281570142755350893628136601189967481818271682124674823358204885355415938901<276>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:33:41 UTC 2021 年 5 月 8 日 (土) 2 時 33 分 41 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 9, 2022 16:41:01 UTC 2022 年 3 月 10 日 (木) 1 時 41 分 1 秒 (日本時間)
2350Ignacio SantosJune 1, 2024 08:15:57 UTC 2024 年 6 月 1 日 (土) 17 時 15 分 57 秒 (日本時間)

## 46×10298+179

### c246

composite cofactor 合成数の残り `422439932451905605799524948149117743582572359755160181599083108927047734005824927154457034951059355479367550318940999326762877862492149699098296319126462929466303171634890114344203863503846608986022408334752635274744319644768610526104405662251389<246>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:33:49 UTC 2021 年 5 月 8 日 (土) 2 時 33 分 49 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 2, 2022 19:46:41 UTC 2022 年 3 月 3 日 (木) 4 時 46 分 41 秒 (日本時間)
2350Ignacio SantosJune 1, 2024 08:38:41 UTC 2024 年 6 月 1 日 (土) 17 時 38 分 41 秒 (日本時間)

## 46×10299+179

### c269

composite cofactor 合成数の残り `31941564346495715370980212544623583583079256023049592575606026903127167038095505132163275472544146048816257019660754847494904082766421674475871620049375939219293480268789951510083426337764341975454400437121258035656627650161887800300049219872050611089439466895516670591<269>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 7, 2021 17:33:59 UTC 2021 年 5 月 8 日 (土) 2 時 33 分 59 秒 (日本時間)
403e62960610Marlon TrifunovicMarch 8, 2022 09:26:38 UTC 2022 年 3 月 8 日 (火) 18 時 26 分 38 秒 (日本時間)
2350Ignacio SantosJune 1, 2024 08:44:50 UTC 2024 年 6 月 1 日 (土) 17 時 44 分 50 秒 (日本時間)

## 46×10300+179

### c297

composite cofactor 合成数の残り `165982889329104377979122239181343523239408667915146660316016987987890465726337515380479690550161111652359663271234082782161891050274773848313289095285003445949115419449586305689965612675319426853866499240447865135294096421625405485373659958792943562209304423444000620631673143607674182804894330241<297>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 18, 2021 09:41:26 UTC 2021 年 1 月 18 日 (月) 18 時 41 分 26 秒 (日本時間)
4511e62000Dmitry DomanovApril 14, 2021 20:24:37 UTC 2021 年 4 月 15 日 (木) 5 時 24 分 37 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovApril 29, 2021 21:06:08 UTC 2021 年 4 月 30 日 (金) 6 時 6 分 8 秒 (日本時間)