is 2 2639149 - 1
has 794464 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-LC9791FA14C5F8272double-checked
PRPF4202802905F101Averified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.584967.6471%2640000264000000.44066.2307%23.025569.6629%2.0158%
PrimeNet2590.029162.7119%110002000000.00242.7023%0.031563.7195%1.0076%
GPU722630.604765.0794%130002000000.00261.5735%0.607365.6288%0.5495%
Difference+5+21.9801+2.5677%+2627000+26200000+0.4380+4.6572%+22.4182+4.0340%+4.0340%

Known prime factors (1 factor, 68.0 bits, 0.00257728% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26391492989091411066606029372168.01856629834296332
22 × 11 × 1287041688553
2020-11-2311128704168855344.8057,853.114,667

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.239%
2009-06-21T14:26:00harleeP4_260030000420000---0.006--1.206%
2011-01-17T06:36:00James Heinrichi7-9201800004320000---0.045--3.234%
2016-12-26T22:14:24Jocelyn Larouchelow 4M171988171988---0.019--1.125%
2016-12-28T03:20:09Jocelyn Larouchelow 4M206385206385---0.023--1.237%
2017-05-08T05:55:52Jocelyn Larouchelow 4M36000036000006---0.060--3.421%
2019-11-04T17:20:42masserManual testing26400002640000012---0.441--6.231%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:18Mark RoseManual testing259260--0.029--
2009-01-27T22:01:00Sturle Sundekinner.ifi260261--0.058--
2012-06-11T11:18:00Grant McCrackenhome261262--0.116--
2013-01-14T11:57:00dbaughManual testing262263--0.372--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.744--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.416--
2016-01-21T23:03:48ramgeisManual testing265266--2.831--
2017-09-08T08:21:15Gordon SpenceManual testing266267--5.663--
2019-03-11T11:16:29TJAOIManual testing267268--11.33--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.328 GHz-days
Estimated T-Level:3.550
DigitsB1CurvesCompleteFacMiss
201100071 / 1000.71048.989%
255000071 / 2800.25477.567%

New Calculation Method

Total ECM effort:7.328 GHz-days
Estimated T-Level:3.550
DigitsB1CompleteFacMiss
20110002.7316.517%
25500000.25377.672%
302500000.01698.419%


ECM Summary

B1B2factorcurvesGHz-days
500005000000697.122
50000500000020.206


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computersC9791FA14C5F82720.204
2018-07-12T08:30:45kkmrkkblmbrbkoldC9791FA14C5F82720.204


PRP results:
dateuseridcompidcofactorsres64PRP
2020-11-24T06:26:33rbanovccg_lnx01
298909141106660602937
F4202802905F101Ano


P-1 factor-bounds graph:
B1 = 2640000, B2 = 26400000 (P-1 stage 2)
B1 = 2640000 (P-1 stage 1)
B1 = 360000, B2 = 3600000 (P-1 stage 2)
B1 = 180000, B2 = 4320000 (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)
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TF factor-bounds graph:
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Last modified: 2020-11-24T06:26:33+00:00