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
6939509Factored
FactorDigitsBitsDate
298386025568189603968872374.72023-07-29 02:52:16
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)1999-09-14Peter Kratochvil94CAA3C2130F14FE0
Verified (Factored)2002-04-28Shane Sanford94CAA3C2130F14FE6203492
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2023-07-29Naegi Makoto1623A4154DAD1C73138466153
P-1 factors
DateFactorB1B2
2023-07-2929838602556818960396887250000057087450
2023-08-172983860255681896039688735000009616446840
History
DateUserTypeResult
2023-07-29LOBESCERT
PRP Certification
Proof certified good
2023-07-29Naegi MakotoC-PRP
M6939509/29838602556818960396887 : 1623A4154DAD1C73
PRP proof power = 8
PRP: Verified
Proof certified good
2023-07-29takahashiF-PM1
Factor: 29838602556818960396887 / (P-1, B1=2500000, B2=57087450)
2021-09-25SRBaseNF
no factor from 2^71 to 2^72
2021-08-12SRBaseNF
no factor from 2^70 to 2^71
2021-07-25takahashiNF
no factor from 2^69 to 2^70
2021-06-02Dylan DelgadoNF-PM1
B1=630000, B2=18900000, e=12
2020-04-24TJAOINF
no factor from 2^68 to 2^69
2019-05-01takahashiNF-PM1
B1=300000, B2=5000000, E=6
2018-02-27-Anonymous-NF
no factor from 2^67 to 2^68
2016-04-05Gordon SpenceNF
no factor from 2^66 to 2^67
2015-06-26VictordeHollanderNF
no factor from 2^65 to 2^66
2014-02-16lycornNF
no factor from 2^64 to 2^65
2014-02-09NesowaNF
no factor from 2^63 to 2^64
2012-08-18NesowaNF-PM1
B1=85000, B2=1508750, E=6