is 2 2635967 - 1
has 793506 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-LD12266AEC280C49Ddouble-checked
PRP1DBBE6F2BFF65343verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26945.291568.1159%2640000264000000.44065.7112%45.732169.9369%1.8209%
PrimeNet2590.029162.7119%110002000000.00242.7017%0.031563.7193%1.0074%
GPU722630.605565.0794%130002000000.00261.5731%0.608165.6287%0.5493%
Difference+6+44.6860+3.0366%+2627000+26200000+0.4380+4.1380%+45.1240+4.3082%+4.3082%

Known prime factors (1 factor, 79.0 bits, 0.00299765% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26359676117009001237296585812712479.017116029696146372405
32 × 5 × 499 × 52817 × 97832323
2021-06-15528179783232353,5350.60251.1149

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.192%
2009-06-21T05:07:00harleeP4_260030000420000---0.006--1.044%
2011-01-19T07:34:00James Heinrichi7-9201800004275000---0.045--2.889%
2016-12-26T22:14:23Jocelyn Larouchelow 4M171988171988---0.019--0.984%
2016-12-28T03:20:08Jocelyn Larouchelow 4M206385206385---0.023--1.085%
2017-04-27T04:20:48Jocelyn Larouchelow 4M36000036000006---0.060--3.078%
2019-10-30T03:32:09masserManual testing26400002640000012---0.441--5.711%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.029--
2016-02-23T16:29:18Mark RoseManual testing259260--0.029--
2009-01-29T00:52:00Sturle Sundeeberlin.ifi260261--0.058--
2012-06-09T17:06:00Grant McCrackenthumper261262--0.117--
2013-01-14T11:57:00dbaughManual testing262263--0.372--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.745--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.417--
2016-01-19T09:40:26ramgeisManual testing265266--2.835--
2017-09-01T23:24:08Gordon SpenceManual testing266267--5.670--
2019-03-18T11:45:37TJAOIManual testing267268--11.34--
2021-05-27T10:38:21TJAOIManual testing268269--22.68--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.558 GHz-days
Estimated T-Level:22.000
DigitsB1CurvesCompleteFacMiss
2011000112 / 1001.12032.445%
2550000112 / 2800.40066.984%

New Calculation Method

Total ECM effort:11.558 GHz-days
Estimated T-Level:22.000
DigitsB1CompleteFacMiss
20110003.6132.697%
25500000.32772.142%
302500000.02098.009%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010711.04
50000500000050.516


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computersD12266AEC280C49D0.204
2018-07-11T10:51:22kkmrkkblmbrbkoldD12266AEC280C49D0.204


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-15T21:09:56ATHec2-PRPCFDC
611700900123729658581271
1DBBE6F2BFF65343no


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 = 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)
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TF factor-bounds graph:
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Last modified: 2021-06-15T21:09:56+00:00