is 2 2646797 - 1
has 796766 decimal digits
takes 0.204 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8FE22CF8F3FEAD81double-checked
PRP317C826BE81DFD79verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26945.106168.1159%2000000500000000.51696.2920%45.623070.1221%2.0061%
PrimeNet2590.029062.7119%110002000000.00242.7037%0.031463.7200%1.0082%
GPU722630.603065.0794%130002000000.00261.5744%0.605665.6291%0.5498%
Difference+6+44.5031+3.0366%+1987000+49800000+0.5143+4.7176%+45.0174+4.4929%+4.4929%

Known prime factors (1 factor, 71.7 bits, 0.00270909% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
264679738466709846012472288892271.704726665283473052
22 × 3 × 73 × 11 × 16049679377
2021-11-1234316049679377289.0497.930182.91

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.192%
2009-06-22T09:52:00harleeP4_260030000420000---0.006--1.045%
2011-01-20T06:54:00James Heinrichi7-9201800004275000---0.045--2.890%
2016-12-28T03:20:11Jocelyn Larouchelow 4M171988171988---0.019--0.985%
2016-12-29T21:56:29Jocelyn Larouchelow 4M206385206385---0.023--1.086%
2017-05-08T05:55:48Jocelyn Larouchelow 4M36000036000006---0.060--3.080%
2019-11-28T16:16:15masserManual testing20000005000000012---0.517--6.292%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00pyropunkv4_computers21259--0.029--
2000-03-08T00:00:00pyropunkv4_computers21259--0.029--
2016-02-23T16:29:18Mark RoseManual testing259260--0.029--
2009-01-28T00:30:00Sturle Sundeginjtje.ifi260261--0.058--
2012-06-09T12:43:00Grant McCrackenhome261262--0.116--
2013-01-14T11:57:00dbaughManual testing262263--0.371--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.742--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.412--
2016-01-21T23:03:49ramgeisManual testing265266--2.823--
2017-09-08T08:21:16Gordon SpenceManual testing266267--5.647--
2019-02-25T14:14:28TJAOIManual testing267268--11.29--
2021-06-21T08:53:52TJAOIManual testing268269--22.59--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.011 GHz-days
Estimated T-Level:22.250
DigitsB1CurvesCompleteFacMiss
2011000126 / 1001.26028.186%
2550000126 / 2800.45063.711%

New Calculation Method

Total ECM effort:13.011 GHz-days
Estimated T-Level:22.250
DigitsB1CompleteFacMiss
20110004.0651.717%
25500000.36769.257%
302500000.02397.763%
3510000000.00199.896%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012512.91
50000500000010.103


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00pyropunkv4_computers8FE22CF8F3FEAD810.204
1999-09-14T00:00:00ANONYMOUSv4_computers8FE22CF8F3FEAD810.204
2000-03-08T00:00:00pyropunkv4_computers8FE22CF8F3FEAD810.204
2018-07-16T06:58:55kkmrkkblmbrbkold8FE22CF8F3FEAD810.204


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-12T08:49:01SRJ2877LTOS
3846670984601247228889
317C826BE81DFD79no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 360000, B2 = 3600000 (P-1 stage 2)
B1 = 180000, B2 = 4275000 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 206385 (P-1 stage 1)
B1 = 180000 (P-1 stage 1)
B1 = 171988 (P-1 stage 1)
B1 = 30000, B2 = 420000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
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1010
1011
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
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2100
Last modified: 2021-11-12T08:49:01+00:00