is 2 6916409 - 1
has 2082047 decimal digits
takes 1.508 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L79269D433EC2BAEEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272138.270368.0556%40000004143239108.33317.9709%146.603470.6018%2.5463%
PrimeNet2630.230863.4921%280007000000.02043.1598%0.251264.6456%1.1536%
GPU722674.296165.6716%450009000000.02902.2361%4.325166.4393%0.7676%
Difference+5+133.9741+2.3839%+3955000+413423910+8.3042+5.7348%+142.2783+4.1626%+1.7786%

Known prime factors:
No known factors for M6916409

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-08-31T00:00:00ANONYMOUSv4_computers3000030000---0.009--0.234%
2001-12-08T00:00:00bald2718281828v4_computers30000270000---0.014--0.704%
2011-11-20T13:52:00James Heinrichi7-9201300002665000---0.085--1.986%
2020-01-10T04:55:25takahashivaio6000001200000012---0.386--3.581%
2021-11-23T21:33:22Seth_TrManual testing400000011000000012---3.091--6.530%
2021-12-02T03:03:48Seth_TrManual testing4000000414323910---8.333--7.971%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21T00:00:00ANONYMOUSv4_computers21261--0.044--
1998-11-14T00:00:00ANONYMOUSv4_computers21262--0.089--
2001-12-08T00:00:00bald2718281828v4_computers21263--0.231--
2014-02-09T10:09:00NesowaManual testing263264--0.284--
2014-02-17T19:28:00lycornManual testing264265--0.540--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.080--
2016-04-02T19:15:59Gordon SpenceManual testing266267--2.161--
2018-02-27T00:21:34-Anonymous-Manual testing267268--4.322--
2020-05-15T09:09:06TJAOIManual testing268269--8.643--
2021-07-18T04:15:01takahashiManual testing269270--17.29--
2021-08-11T16:26:37SRBaseManual testing270271--34.57--
2021-09-26T07:27:53SRBaseManual testing271272--69.15--


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_computers8DD9D9AB57BF9B__1.508
1999-08-16T00:00:00ANONYMOUSv4_computers79269D433EC2BAEE1.508
2002-07-06T00:00:00ANONYMOUSv4_computers4DD567A5C62187__1.508
2002-10-12T00:00:00ANONYMOUSv4_computers79269D433EC2BAEE1.508
2006-05-12T00:00:00ANONYMOUSv4_computers79269D433EC2BAEE1.508


PRP results:
No PRP results for M6916409


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: 2021-12-02T03:03:48+00:00