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
416473Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
3354747971216090811858.2old
ECM
DigitsB1Curves
2550000280 / 280
30250000298 / 640
Estimated T-Level: 27.3
TF below 2^86 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-23Oliver Kruse0DA70329A2BFFD5A1013
Verified2017-11-02kkmrkkblmbrbk0DA70329A2BFFD5A132818613
Verified2020-04-18Oliver Kruse36B4AFE2721D6F2118863453
Verified2024-10-25kkmrkkblmbrbk36B4AFE2721D6F21111633853
History
DateUserTypeResult
2024-10-25GregCERT
PRP Certification
Proof certified good
2024-10-25kkmrkkblmbrbkC-PRP
M416473/335474797121609081 : 36B4AFE2721D6F21
PRP proof power = 5
PRP: Verified
Proof certified good
2020-04-18Oliver KruseC-PRP
M416473/335474797121609081 : 36B4AFE2721D6F21
PRP: Verified
PRP without proof (small exponent)
2017-11-02kkmrkkblmbrbkC-PRP
M416473/335474797121609081 : 0DA70329A2BFFD5A
PRP: Verified
PRP without proof (small exponent)
2017-09-23Oliver KruseC-PRP
M416473/335474797121609081 : 0DA70329A2BFFD5A
PRP: Verified
PRP without proof (not generated)
2016-03-16alpertronNF-PM1
B1=3000000, B2=100000000, E=12