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
6975583Factored
FactorDigitsBitsDate
713126757133237243885233347212995.82021-11-22 07:13:47
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)1999-05-30Jim F. Williams28EAFD20347854F41774574
Verified (Factored)2001-10-13Ryan Fuoss28EAFD20347854F41500676
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2021-11-28RichD0927611F871189A411102200753
P-1 factors
DateFactorB1B2
2021-11-22713126757133237243885233347214000000110000000
History
DateUserTypeResult
2021-11-28Jim DonovanCERT
PRP Certification
Proof certified good
2021-11-28RichD0C-PRP
M6975583/71312675713323724388523334721 : 927611F871189A41
PRP proof power = 8
PRP: Verified
Proof certified good
2021-11-22Seth_TrF-PM1
Factor: 71312675713323724388523334721 / (P-1, B1=4000000, B2=110000000, E=12)
2021-09-25SRBaseNF
no factor from 2^71 to 2^72
2021-09-06SRBaseNF
no factor from 2^70 to 2^71
2021-08-08takahashiNF
no factor from 2^69 to 2^70
2020-04-24TJAOINF
no factor from 2^68 to 2^69
2020-01-29takahashiNF-PM1
B1=600000, B2=12000000, E=12
2018-02-26-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
2014-02-15lycornNF
no factor from 2^64 to 2^65
2014-02-09NesowaNF
no factor from 2^63 to 2^64
2011-12-08James HeinrichNF-PM1
B1=135000, B2=2835000, E=6