is 2 3182521 - 1
has 958035 decimal digits
takes 0.271 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8EA559A8D810FDCDdouble-checked
PRP09784A6AA8F058FCverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.728867.6471%30000001200000001.15698.2971%19.885770.3314%2.6844%
PrimeNet2600.048363.3333%130002400000.00312.6548%0.051464.3068%0.9734%
GPU722641.118465.6250%150002600000.00351.5831%1.121966.1692%0.5442%
Difference+4+17.6104+2.0221%+2985000+119740000+1.1534+6.7140%+18.7638+4.1622%+4.1622%

Known prime factors (1 factor, 73.0 bits, 0.00229525% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
318252197562182996609144384392273.0471532781448992939
3 × 4395067 × 116250139
2021-01-154395067116250139840.321.29451.4599

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-14T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.252%
2009-07-03T00:58:00Carsten Kossendeyleela15000191250---0.003--0.782%
2011-09-12T11:15:00Squeeky_SquirrelT7500_220060000975000---0.014--1.885%
2014-06-01T23:28:00Jocelyn LaroucheManual testing8016880168---0.010--0.753%
2014-09-29T22:04:00Jocelyn LaroucheManual testing100336100336---0.012--0.862%
2015-11-24T02:52:51Jocelyn LaroucheManual testing448962448962---0.055--1.840%
2015-11-30T00:35:47Jocelyn LaroucheManual testing493858493858---0.061--1.918%
2015-12-02T01:07:31Jocelyn LaroucheManual testing543243543243---0.067--1.997%
2016-03-18T01:39:29Jocelyn LaroucheManual testing651891117340386---0.155--4.835%
2019-09-22T08:31:10mikrMSI300000012000000012---1.157--8.297%
2022-02-27T01:57:30Jocelyn LaroucheManual testing1000000134343300---1.020--7.626%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-06-01T00:00:00ANONYMOUSv4_computers21259--0.024--
1998-11-21T00:00:00ANONYMOUSv4_computers21259--0.024--
2001-07-07T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-09T16:13:00S485122USB-Z260261--0.048--
2011-10-17T04:01:00Grant McCrackenthumper261262--0.097--
2013-01-03T08:45:00dbaughManual testing262263--0.308--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.617--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.174--
2015-06-18T20:57:00ThaManual testing265266--2.348--
2017-04-26T13:17:19Gordon SpenceManual testing266267--4.696--
2019-01-07T14:44:19TJAOIManual testing267268--9.392--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.483 GHz-days
Estimated T-Level:1.400
DigitsB1CurvesCompleteFacMiss
201100028 / 1000.28075.472%
255000028 / 2800.10090.468%

New Calculation Method

Total ECM effort:3.483 GHz-days
Estimated T-Level:1.400
DigitsB1CompleteFacMiss
20110001.09533.454%
25500000.10190.415%
302500000.00699.368%


ECM Summary

B1B2factorcurvesGHz-days
500005000030.197
500005000000222.582
50000500000060.704


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-20T00:00:00ANONYMOUSv4_computers8EA559A8D810FDCD0.271
1998-11-21T00:00:00ANONYMOUSv4_computers8EA559A8D810FDCD0.271
1999-10-15T00:00:00ANONYMOUSv4_computers8EA559A8D810FDCD0.271


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-16T12:13:15seatseadt
9756218299660914438439
09784A6AA8F058FCno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 120000000 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 651891, B2 = 11734038 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 651891 (P-1 stage 1)
B1 = 543243 (P-1 stage 1)
B1 = 493858 (P-1 stage 1)
B1 = 448962 (P-1 stage 1)
B1 = 60000, B2 = 975000 (P-1 stage 2)
B1 = 100336 (P-1 stage 1)
B1 = 80168 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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109
TF factor-bounds graph:
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266
265
264
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261
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Last modified: 2022-02-27T01:57:30+00:00