is 2 6909281 - 1
has 2079901 decimal digits
takes 1.507 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1A7BE5E93822A2C0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272138.412968.0556%40000004143239108.33317.9701%146.746070.6016%2.5460%
PrimeNet2630.231063.4921%280007000000.02043.1592%0.251464.6454%1.1534%
GPU722674.300665.6716%450009000000.02902.2357%4.329566.4391%0.7675%
Difference+5+134.1123+2.3839%+3955000+413423910+8.3042+5.7344%+142.4165+4.1624%+1.7785%

Known prime factors:
No known factors for M6909281

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-10-20T00:00:00ANONYMOUSv4_computers30000270000---0.014--0.704%
2011-11-21T05:45:00James Heinrichi7-9201300002665000---0.085--1.985%
2020-01-09T12:00:44takahashivaio6000001200000012---0.386--3.581%
2021-11-22T00:28:06Seth_TrManual testing400000011000000012---3.091--6.530%
2021-11-30T09:50:10Seth_TrManual testing4000000414323910---8.333--7.970%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-11T00:00:00ANONYMOUSv4_computers21262--0.089--
2004-10-18T00:00:00ANONYMOUSv4_computers21263--0.231--
2014-02-09T10:09:00NesowaManual testing263264--0.284--
2014-02-18T07:34:00lycornManual testing264265--0.541--
2015-06-21T19:55:00VictordeHollanderManual testing265266--1.082--
2016-04-01T12:34:43Gordon SpenceManual testing266267--2.163--
2018-02-25T11:47:51-Anonymous-Manual testing267268--4.326--
2019-12-12T13:18:16mnd9Manual testing268269--8.652--
2020-12-21T22:42:35takahashiManual testing269270--17.30--
2021-08-12T16:31:04SRBaseManual testing270271--34.61--
2021-09-25T07:18:31SRBaseManual testing271272--69.22--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersB8872F66589833__1.507
2000-02-09T00:00:00ANONYMOUSv4_computers1A7BE5E93822A2C01.507
2001-12-22T00:00:00ANONYMOUSv4_computers1A7BE5E93822A2C01.507


PRP results:
No PRP results for M6909281


P-1 factor-bounds graph:
B1 = 4000000, B2 = 414323910 (P-1 stage 2)
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 = 130000, B2 = 2665000 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 30000, B2 = 270000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-11-30T09:50:10+00:00