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
6978281Factored
FactorDigitsBitsDate
49356358972889403592022471031873397981739128.52023-09-11 04:33:20
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)1999-03-26Tim EsauA7A58F2542C937A10
Verified (Factored)2001-11-03BrianA7A58F2542C937A13557588
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2023-09-12Naegi MakotoD412489F026C30A41283582753
P-1 factors
DateFactorB1B2
2023-09-1149356358972889403592022471031873397981735000009616446840
History
DateUserTypeResult
2023-09-12echozebraCERT
PRP Certification
Proof certified good
2023-09-12Naegi MakotoC-PRP
M6978281/493563589728894035920224710318733979817 : D412489F026C30A4
PRP proof power = 8
PRP: Verified
Proof certified good
2023-09-11ThaF-PM1
Factor: 493563589728894035920224710318733979817 / (P-1, B1=3500000, B2=9616446840)
2021-11-19Seth_TrNF-PM1
B1=3000000, B2=75000000, E=12
2021-09-25SRBaseNF
no factor from 2^71 to 2^72
2021-09-06SRBaseNF
no factor from 2^70 to 2^71
2021-08-09takahashiNF
no factor from 2^69 to 2^70
2020-04-24TJAOINF
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
2014-02-15lycornNF
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=440000, B2=13530000, E=12