is 2 6967823 - 1
has 2097524 decimal digits
takes 1.519 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5DFF56987055253Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.250068.0556%20000002588493605.05696.9827%142.306970.2862%2.2306%
PrimeNet2630.229163.4921%280007000000.02043.1636%0.249564.6470%1.1550%
GPU722674.264465.6716%450009000000.02902.2388%4.293466.4402%0.7686%
Difference+5+132.9855+2.3839%+1955000+257949360+5.0280+4.7439%+138.0135+3.8460%+1.4620%

Known prime factors:
No known factors for M6967823

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-16T00:00:00ANONYMOUSv4_computers35000341250---0.016--0.799%
2011-12-12T19:41:00James HeinrichQ66001350002835000---0.089--2.034%
2020-01-26T22:10:40takahashivaio6000001200000012---0.386--3.585%
2021-12-07T10:40:21Seth_TrManual testing2000000258849360---5.057--6.983%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-11T00:00:00ANONYMOUSv4_computers21261--0.044--
1998-07-21T00:00:00Greg Hewgillv4_computers21262--0.088--
1998-08-30T00:00:00Greg Hewgillv4_computers21262--0.088--
2004-02-07T00:00:00Sturle Sundev4_computers21263--0.229--
2014-02-09T10:18:00NesowaManual testing263264--0.282--
2014-02-15T15:55:00lycornManual testing264265--0.536--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.072--
2016-04-25T00:49:45Gordon SpenceManual testing266267--2.145--
2018-02-27T00:22:00-Anonymous-Manual testing267268--4.290--
2020-04-24T07:20:56TJAOIManual testing268269--8.580--
2021-08-04T22:39:25takahashiManual testing269270--17.16--
2021-09-06T18:07:56SRBaseManual testing270271--34.32--
2021-09-25T07:06:02SRBaseManual testing271272--68.64--


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)
1999-04-02T00:00:00Stephen Woodv4_computers5DFF56987055253B1.519
2015-11-14T19:23:56MadPooManual testing5DFF56987055253B1.519


PRP results:
No PRP results for M6967823


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 = 135000, B2 = 2835000 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 35000, B2 = 341250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-07T10:40:21+00:00