is 2 6977797 - 1
has 2100527 decimal digits
takes 1.522 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE4F1A7AC80A12B6Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.053868.0556%40000001100000003.09076.5362%140.144570.1435%2.0879%
PrimeNet2630.228763.4921%300008000000.02273.3119%0.251564.7012%1.2091%
GPU722674.258465.6716%450009000000.02902.2394%4.287366.4404%0.7687%
Difference+5+132.7955+2.3839%+3955000+109100000+3.0618+4.2968%+135.8572+3.7031%+1.3192%

Known prime factors:
No known factors for M6977797

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00CreweNetv4_computers35000288750---0.015--0.757%
2011-11-30T21:34:00James HeinrichQ66001350002835000---0.089--2.034%
2020-01-30T03:04:34takahashivaio6000001200000012---0.386--3.585%
2021-11-23T16:09:49Seth_TrManual testing400000011000000012---3.091--6.536%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-11T00:00:00Sturle Sundev4_computers21262--0.088--
2005-08-16T00:00:00ANONYMOUSv4_computers21263--0.229--
2014-02-09T10:18:00NesowaManual testing263264--0.281--
2014-02-15T15:52:00lycornManual testing264265--0.535--
2015-07-03T01:16:00VictordeHollanderManual testing265266--1.071--
2016-04-26T14:24:11Gordon SpenceManual testing266267--2.142--
2018-02-27T00:22:03-Anonymous-Manual testing267268--4.284--
2020-04-24T07:20:53TJAOIManual testing268269--8.567--
2021-08-09T10:19:05takahashiManual testing269270--17.13--
2021-09-06T18:02:53SRBaseManual testing270271--34.27--
2021-09-25T07:13:28SRBaseManual testing271272--68.54--


ECM factoring results:
Total ECM effort:2.984 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.984


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computersE4F1A7AC80A12B6D1.522
2002-01-15T00:00:00CreweNetv4_computersE4F1A7AC80A12B6D1.522


PRP results:
No PRP results for M6977797


P-1 factor-bounds graph:
B1 = 4000000, B2 = 110000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 135000, B2 = 2835000 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 35000, B2 = 288750 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-11-23T16:09:49+00:00