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
12870553Factored
FactorDigitsBitsDate
4305782510214676940172168.52018-01-07 23:35:05
ECM
DigitsB1Curves
25500001 / 280
Estimated T-Level: 20.0 ⓘ
TF below 2^61 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)2001-09-30Brian BerryBB3B303D10C000E46164998
Verified (Factored)2004-09-16HruskaBB3B303D10C000E45639251
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2022-05-22Gordon Spence43686BD014F9692B1813906753
History
DateUserTypeResult
2023-10-27nordiNF-PM1
B1=500000, B2=446273100
2023-10-16nordiNF-PM1
B1=500000
2022-05-22StixxyCERT
PRP Certification
Proof certified good
2022-05-22Gordon SpenceC-PRP
M12870553/430578251021467694017 : 43686BD014F9692B
PRP proof power = 8
PRP: Verified
Proof certified good
2018-01-07ramgeisF
Factor: 430578251021467694017 / TF: 68-69*
2018-01-07ramgeisNF
no factor from 2^67 to 2^68
2015-04-11ThaNF
no factor from 2^66 to 2^67
2014-04-27NesowaNF
no factor from 2^65 to 2^66
2013-06-02lycornNF
no factor from 2^64 to 2^65