Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

Exponent Range:





MnDetails
8331269
Composite, with 3 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 268
Factored
FactorDigitsBitsDate
162626370891133.9old
11066144015560091650.02008-09-08 04:30:33
2216167671941707220812167.62022-11-24 11:38:40
ECM
DigitsB1Curves
25500002 / 280
Estimated T-Level: 20.0 ⓘ
TF below 2^62 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Factored
PRP without proof (not generated)
2018-10-15Oliver Kruse7C9022F4FAEAAE772646607553
Factored
PRP without proof (not generated)
2020-04-24oodaira7C9022F4FAEAAE772818921953
Verified
Certified Good
2022-11-29MarkS7C9022F4FAEAAE773300057053
History
DateUserTypeResult
2024-03-06Stef42NF-PM1B1=3000000, B2=5865800850
2022-11-29Roger_L_WhitcombCERT
Proof certified good
2022-11-29MarkSC-PRPM8331269/16262637089/1106614401556009/221616767194170722081 : 7C9022F4FAEAAE77
Proof Certified Good

Proof Power: 8

2022-11-24TJAOIFFactor: 221616767194170722081
2020-04-24oodairaC-PRPM8331269/16262637089/1106614401556009 : 7C9022F4FAEAAE77
2018-10-15Oliver KruseC-PRPM8331269/16262637089/1106614401556009 : 7C9022F4FAEAAE77
2008-09-08Will EdgingtonFFactor: 1106614401556009