is 2 6951431 - 1
has 2092590 decimal digits
takes 1.516 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4D061B325D95B15Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.573668.0556%20000002588493605.05696.9811%142.630670.2856%2.2301%
PrimeNet2630.229663.4921%280007000000.02043.1624%0.250064.6466%1.1545%
GPU722674.274565.6716%450009000000.02902.2380%4.303566.4399%0.7683%
Difference+5+133.2991+2.3839%+1955000+257949360+5.0280+4.7431%+138.3271+3.8457%+1.4618%

Known prime factors:
No known factors for M6951431

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-10T00:00:00ANONYMOUSv4_computers3000030000---0.009--0.234%
2002-03-10T00:00:00ANONYMOUSv4_computers35000341250---0.016--0.799%
2011-12-11T19:39:00James HeinrichQ66001300002827500---0.088--2.016%
2020-01-22T02:54:07takahashivaio6000001200000012---0.386--3.583%
2021-12-07T02:58:24Seth_TrManual testing2000000258849360---5.057--6.981%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21T00:00:00ANONYMOUSv4_computers21262--0.088--
2004-03-26T00:00:00Sturle Sundev4_computers21263--0.230--
2014-02-09T10:12:00NesowaManual testing263264--0.282--
2014-02-16T01:22:00lycornManual testing264265--0.537--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.075--
2016-04-05T22:46:27Gordon SpenceManual testing266267--2.150--
2018-02-27T00:21:57-Anonymous-Manual testing267268--4.300--
2020-05-01T08:51:04TJAOIManual testing268269--8.600--
2021-07-31T07:00:43takahashiManual testing269270--17.20--
2021-08-12T16:29:46SRBaseManual testing270271--34.40--
2021-09-25T07:02:12SRBaseManual testing271272--68.80--


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)
1999-05-02T00:00:00ANONYMOUSv4_computers4D061B325D95B15B1.516
2002-07-27T00:00:00ANONYMOUSv4_computers4D061B325D95B15B1.516


PRP results:
No PRP results for M6951431


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 130000, B2 = 2827500 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 35000, B2 = 341250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-07T02:58:24+00:00