Marin Mersenne 2^P-1
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Finding World Record Primes Since 1996

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MnStatusDetails
12564247Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
72274332723368191238825508299778753768139129.12023-03-26 04:41:07
ECM
DigitsB1Curves
25500002 / 280
Estimated T-Level: 20.0 ⓘ
TF below 2^62 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)2001-04-29Zach Vickery7E8EA8153E4739D71443753
Verified (Factored)2004-08-06Ars Technica Team Prime Rib7E8EA8153E4739D711497367
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2023-03-28Naegi Makoto1156269E4C3FC37411121410453
P-1 factors
DateFactorB1B2
2023-03-26722743327233681912388255082997787537681300000012199971630
History
DateUserTypeResult
2023-03-28kutensCERT
PRP Certification
Proof certified good
2023-03-28Naegi MakotoC-PRP
M12564247/722743327233681912388255082997787537681 : 1156269E4C3FC374
PRP proof power = 8
PRP: Verified
Proof certified good
2023-03-26Naegi MakotoF-PM1
Factor: 722743327233681912388255082997787537681 / (P-1, B1=3000000, B2=12199971630)
2021-10-29-Anonymous-NF
no factor from 2^71 to 2^72
2021-08-29SRBaseNF
no factor from 2^70 to 2^71
2021-08-07SRBaseNF
no factor from 2^69 to 2^70
2017-12-16ramgeisNF
no factor from 2^68 to 2^69
2017-12-16ramgeisNF
no factor from 2^67 to 2^68
2015-03-24ThaNF
no factor from 2^66 to 2^67
2015-02-23ThaNF-PM1
B1=300000, B2=6000000, E=12
2014-03-28NesowaNF
no factor from 2^65 to 2^66
2013-06-18lycornNF
no factor from 2^64 to 2^65