Marin Mersenne 2^P-1
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GIMPS
Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
320839Factored
FactorDigitsBitsDate
856369300318697693222693932686.12019-03-14 03:26:44
ECM
DigitsB1Curves
2550000280 / 280
30250000273 / 640
Estimated T-Level: 27.1 ⓘ
TF below 2^85 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski3F560
Verified (Factored)Unknown3F560
Verified (Factored)Klaus Kastens62F5CDCE75023F560
Verified (Factored)Eivind Triel62F5CDCE75023F5626881
Verified (Factored)2002-01-08Dennis Pope62F5CDCE75023F56222172
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2019-03-14alex4AE16705A284EEF015072653
Verified2019-03-15Corey4AE16705A284EEF0128676353
History
DateUserTypeResult
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2019-03-15CoreyC-PRP
M320839/85636930031869769322269393 : 4AE16705A284EEF0
PRP: Verified
PRP without proof (small exponent)
2019-03-14alexC-PRP
M320839/85636930031869769322269393 : 4AE16705A284EEF0
PRP: Verified
PRP without proof (small exponent)
2019-03-14alexF-ECM
Factor: 85636930031869769322269393 / (ECM curve 84, B1=250000, B2=25000000, Sigma=6519223930912082)
2018-01-22Gordon SpenceNF
no factor from 2^64 to 2^65
2016-06-19mikrNF-PM1
B1=60000000, B2=3000000000, E=12
2015-12-07Gordon SpenceNF
no factor from 2^63 to 2^64
2015-12-07Gordon SpenceNF
no factor from 2^62 to 2^63
2015-07-22NRNF
no factor from 2^61 to 2^62
2012-04-27David CampeauNF
no factor from 2^60 to 2^61
2012-01-17alpertronNF-PM1
B1=10000000, B2=200000000, E=12
2011-08-06JossNF-PM1
B1=1450701
2009-01-22Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-30Sturle SundeNF
no factor from 2^58 to 2^59