Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
320821Factored
FactorDigitsBitsDate
2853563085050031145691308557433097.82019-03-15 01:30:12
ECM
DigitsB1Curves
2550000280 / 280
30250000615 / 640
Estimated T-Level: 29.8 ⓘ
TF below 2^94 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski74D00
Verified (Factored)Unknown74D00
Verified (Factored)Klaus Kastens67CBF6DE7299F4D00
Verified (Factored)Eivind Triel67CBF6DE7299F4D0116542
Verified (Factored)2002-01-08Dennis Pope67CBF6DE7299F4D0291885
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2019-03-15ATH4EB0A71714DD33B9111386553
Verified2019-03-16marssystems4EB0A71714DD33B9111048753
History
DateUserTypeResult
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2019-03-16marssystemsC-PRP
M320821/285356308505003114569130855743 : 4EB0A71714DD33B9
PRP: Verified
PRP without proof (small exponent)
2019-03-15ATHC-PRP
M320821/285356308505003114569130855743 : 4EB0A71714DD33B9
PRP: Verified
PRP without proof (small exponent)
2019-03-15alexF-ECM
Factor: 285356308505003114569130855743 / (ECM curve 426, B1=250000, B2=25000000, Sigma=2303309926985310)
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=1450807
2009-01-22Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-30Sturle SundeNF
no factor from 2^58 to 2^59