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

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Exponent Range:





MnDetails
2444411
Composite, with 4 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 263
Factored
FactorDigitsBitsDate
75287858811032.8old
1556405371931237.22008-07-14 20:23:56
291189238169511444.72008-09-30 14:37:02
67000576236279633629692272.52023-05-16 06:17:37
ECM
DigitsB1Curves
2550000142 / 280
Estimated T-Level: 22.5
TF below 2^70 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors
ShiftTypeBase
Factored
PRP without proof (not generated)
2017-10-13Oliver Kruse419DE1F442EBDA17392961953
Factored
PRP without proof (not generated)
2017-11-28storm5510419DE1F442EBDA173218691453
Verified
Certified Good
2023-05-22Funky Waddle419DE1F442EBDA17468306353
History
DateUserTypeResult
2023-05-22George WoltmanCERT
Proof certified good
2023-05-22Funky WaddleC-PRPM2444411/7528785881/155640537193/29118923816951/6700057623627963362969 : 419DE1F442EBDA17
Proof Certified Good

Proof Power: 7

2023-05-16JackBlockF-ECMFactor: 6700057623627963362969 / ECM curve 4, B1=50000, B2=4350000, Montgomery Sigma=1755012320573632
2018-09-28alpertronNF-PM1B1=2000000, B2=60000000, E=12
2017-11-28storm5510C-PRPM2444411/7528785881/155640537193/29118923816951 : 419DE1F442EBDA17
2017-10-13Oliver KruseC-PRPM2444411/7528785881/155640537193/29118923816951 : 419DE1F442EBDA17
2008-09-30markrFFactor: 29118923816951
2008-07-14George WoltmanF-ECMFactor: 155640537193