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

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MnStatusDetails
316793Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
19986226400475504283882359003486483285739127.22025-01-10 14:38:08
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000843 / 1566
Estimated T-Level: 32.7 ⓘ
TF below 2^104 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski1F510
Verified (Factored)Unknown1F510
Verified (Factored)Klaus Kastens0EFCB9DBE12F1F510
Verified (Factored)Guillermo Ballester Valor0EFCB9DBE12F1F510
Verified (Factored)Eivind Triel0EFCB9DBE12F1F5196913
Verified (Factored)2016-06-01MadPoo0EFCB9DBE12F1F51257045
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2025-01-16dnovaFFC31ED6CC1A1BB717616153
History
DateUserTypeResult
2025-01-16StuartCERT
PRP Certification
Proof certified good
2025-01-16dnovaC-PRP
M316793/199862264004755042838823590034864832857 : FFC31ED6CC1A1BB7
PRP proof power = 5
PRP: Verified
Proof certified good
2025-01-10axnF-ECM
Factor: 199862264004755042838823590034864832857 / (ECM curve 91, B1=2000000, B2=3549360360, Edwards Sigma=8075125936701593)
2023-09-05masserNF-PP1
Start=6/5, B1=20000000, B2=1580000000
2023-09-04masserNF-PP1
Start=100/23, B1=20000000, B2=1580000000
2022-09-21Oliver KruseNF-PM1
B1=1000000000, B2=34113689159550
2022-06-13Gordon SpenceNF
no factor from 2^67 to 2^68
2022-05-25LordJuliusNF
no factor from 2^66 to 2^67
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2021-05-18George WoltmanNF-PP1
Start=2/7, B1=30000000, B2=2220000000
2019-11-27Gordon SpenceNF
no factor from 2^65 to 2^66
2018-01-22Gordon SpenceNF
no factor from 2^64 to 2^65
2016-06-14mikrNF-PM1
B1=60000000, B2=3000000000, E=12
2016-06-01MadPooC-LL
0EFCB9DBE12F1F51
2015-12-29Gordon SpenceNF
no factor from 2^63 to 2^64
2015-12-29Gordon SpenceNF
no factor from 2^62 to 2^63
2015-07-20NRNF
no factor from 2^61 to 2^62
2012-04-27David CampeauNF
no factor from 2^60 to 2^61
2012-01-23alpertronNF-PM1
B1=10000000, B2=200000000, E=12
2009-01-24Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-30Sturle SundeNF
no factor from 2^58 to 2^59
2008-11-25GrunwalderGIMPNF-PM1
B1=2000000, B2=200000000, E=12