is 2 6946867 - 1
has 2091216 decimal digits
takes 1.515 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1F9941838BDEB846double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.664068.0556%40000004568186709.06528.0811%146.729270.6370%2.5815%
PrimeNet2630.229763.4921%280007000000.02043.1620%0.250264.6465%1.1544%
GPU722674.277365.6716%450009000000.02902.2377%4.306366.4398%0.7682%
Difference+5+133.3867+2.3839%+3955000+455918670+9.0362+5.8434%+142.4229+4.1972%+1.8133%

Known prime factors:
No known factors for M6946867

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-08T00:00:00BJBv4_computers3000030000---0.009--0.234%
2011-09-04T13:04:00Carsten Kossendeymother44000013640000---0.367--3.523%
2021-11-12T20:02:06Seth_TrManual testing30000007500000012---2.189--5.984%
2021-12-03T02:23:42Seth_TrManual testing4000000456818670---9.065--8.081%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21T00:00:00ANONYMOUSv4_computers21262--0.088--
2005-03-20T00:00:00ANONYMOUSv4_computers21263--0.230--
2014-02-09T10:11:00NesowaManual testing263264--0.283--
2014-02-16T12:45:00lycornManual testing264265--0.538--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.076--
2016-04-05T22:46:26Gordon SpenceManual testing266267--2.151--
2018-02-26T00:48:46-Anonymous-Manual testing267268--4.303--
2020-04-24T07:21:01TJAOIManual testing268269--8.606--
2021-07-28T22:40:53takahashiManual testing269270--17.21--
2021-08-12T16:42:47SRBaseManual testing270271--34.42--
2021-09-25T07:15:02SRBaseManual testing271272--68.84--


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)
1999-03-26T00:00:00ANONYMOUSv4_computers00D7D04B2C3094__1.515
1999-09-22T00:00:00ANONYMOUSv4_computers1F9941838BDEB8461.515
2000-09-08T00:00:00ANONYMOUSv4_computers1F9941838BDEB8461.515
2002-03-31T00:00:00BJBv4_computers1F9941838BDEB8461.515


PRP results:
No PRP results for M6946867


P-1 factor-bounds graph:
B1 = 4000000, B2 = 456818670 (P-1 stage 2)
B1 = 3000000, B2 = 75000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 440000, B2 = 13640000 (P-1 stage 2)
B1 = 440000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-03T02:23:42+00:00