is 2 7978781 - 1
has 2401853 decimal digits
takes 2.083 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L68236FFB306432A8double-checked
PRP59AB7F72437CA9__
unverified PRP test

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27159.918767.6056%10000003543886507.66827.4246%67.586970.0108%2.4052%
PrimeNet2630.200063.4921%340009000000.03073.5646%0.230864.7934%1.3014%
GPU722673.724165.6716%5500012000000.04442.5657%3.768666.5524%0.8808%
Difference+4+56.1946+1.9340%+945000+353188650+7.6238+4.8589%+63.8184+3.4584%+1.5244%

Known prime factors (1 factor, 121.6 bits, 0.00152378% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7978781397230862896924868792414005259703089737121.579248929543809339339425667909208
23 × 1327 × 1427 × 22397 × 512779 × 765727 × 1868519
2022-07-3176572718685192.230e+100.31270.5900

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-23T00:00:00ANONYMOUSv4_computers4000040000---0.015--0.357%
2012-06-26T09:55:00firejuggler1000001950000---0.076--2.007%
2022-07-31T23:56:43harleei5-5250U_1600100000035438865037121.5797.6684.16715.347.425%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-24T00:00:00ANONYMOUSv4_computers21262--0.077--
1999-03-26T00:00:00ANONYMOUSv4_computers21263--0.200--
2013-10-02T14:14:00NesowaManual testing263264--0.246--
2013-12-22T13:48:00David CampeauManual testing264265--0.468--
2015-06-09T21:16:00VictordeHollanderManual testing265266--0.937--
2016-08-22T00:48:43Gordon SpenceManual testing266267--1.873--
2018-07-24T09:47:48ramgeisManual testing267268--3.746--
2020-02-21T12:33:46TJAOIManual testing268269--7.493--
2020-09-26T21:09:12-Anonymous-Manual testing269270--14.99--
2021-12-11T20:56:10mikrManual testing270271--29.97--


ECM factoring results:
Total ECM effort:2.382 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000062.382


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-07T00:00:00ANONYMOUSv4_computers68236FFB306432A82.083
2002-07-06T00:00:00ANONYMOUSv4_computers68236FFB306432A82.083


PRP results:
dateuseridcompidcofactorsres64PRP
2022-08-06T22:59:09Poaotencent-CNsh
3972308628969248687924140052597030897
59AB7F72437CA9__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 354388650 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 100000, B2 = 1950000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 40000 (P-1 stage 1)
103
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105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
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268
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Last modified: 2022-08-06T22:59:09+00:00