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

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Exponent Range:










MnStatusDetails
6985439Factored
FactorDigitsBitsDate
4138238188038619680023151229213098.42023-09-20 18:46:17
ECM
DigitsB1Curves
25500006 / 280
Estimated T-Level: 20.1 ⓘ
TF below 2^62 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)2000-03-08C. Cooper / S. Boone46CB128D56B10BB45234699
Verified (Factored)2002-03-10Mark Brown46CB128D56B10BB4260527
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2023-09-21Naegi Makoto8D0F011D05278F531549106853
P-1 factors
DateFactorB1B2
2023-09-2041382381880386196800231512292135000009616446840
History
DateUserTypeResult
2023-09-21curtiscCERT
PRP Certification
Proof certified good
2023-09-21Naegi MakotoC-PRP
M6985439/413823818803861968002315122921 : 8D0F011D05278F53
PRP proof power = 8
PRP: Verified
Proof certified good
2023-09-20ThaF-PM1
Factor: 413823818803861968002315122921 / (P-1, B1=3500000, B2=9616446840)
2021-11-07Seth_TrNF-PM1
B1=2000000, B2=58000000, E=12
2021-09-25SRBaseNF
no factor from 2^71 to 2^72
2021-09-06SRBaseNF
no factor from 2^70 to 2^71
2021-08-11takahashiNF
no factor from 2^69 to 2^70
2020-04-10TJAOINF
no factor from 2^68 to 2^69
2018-02-27-Anonymous-NF
no factor from 2^67 to 2^68
2016-04-26Gordon SpenceNF
no factor from 2^66 to 2^67
2015-07-03VictordeHollanderNF
no factor from 2^65 to 2^66
2014-02-14lycornNF
no factor from 2^64 to 2^65
2014-02-09NesowaNF
no factor from 2^63 to 2^64
2011-09-07Carsten KossendeyNF-PM1
B1=445000, B2=13572500, E=12