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
7878869Factored
FactorDigitsBitsDate
163539390902365932511044469212993.72022-03-21 23:20:01
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)Richard OtterA4F3022ADBCEDBE50
Verified (Factored)1999-11-17Nick Craig-WoodA4F3022ADBCEDBE55391242
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2022-03-22Oliver KruseD383F28B1CEECA2E1680975353
P-1 factors
DateFactorB1B2
2022-03-21163539390902365932511044469212500000040052471550
History
DateUserTypeResult
2022-03-22Steve JacobsonCERT
PRP Certification
Proof certified good
2022-03-22Oliver KruseC-PRP
M7878869/16353939090236593251104446921 : D383F28B1CEECA2E
PRP proof power = 8
PRP: Verified
Proof certified good
2022-03-21Oliver KruseF-PM1
Factor: 16353939090236593251104446921 / (P-1, B1=25000000, B2=40052471550)
2021-10-15SRBaseNF
no factor from 2^71 to 2^72
2021-10-14Architects CubedNF-PM1
B1=411000, B2=23398000
2021-08-28SRBaseNF
no factor from 2^70 to 2^71
2021-08-20SRBaseNF
no factor from 2^69 to 2^70
2020-02-14TJAOINF
no factor from 2^68 to 2^69
2018-08-05ramgeisNF
no factor from 2^67 to 2^68
2016-08-31Gordon SpenceNF
no factor from 2^66 to 2^67
2015-06-09VictordeHollanderNF
no factor from 2^65 to 2^66
2013-12-19David CampeauNF
no factor from 2^64 to 2^65
2013-10-05NesowaNF
no factor from 2^63 to 2^64
2012-10-08NesowaNF-PM1
B1=100000, B2=1900000, E=6
2009-08-10Carsten KossendeyNF-PM1
B1=45000, B2=697500, E=6