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

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Exponent Range:










MnStatusDetails
323369Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
87309631826.4old
731460679929.42008-07-21 09:16:47
45955876467111342.12008-07-21 09:16:47
ECM
DigitsB1Curves
2550000280 / 280
30250000514 / 640
Estimated T-Level: 29.0
TF below 2^91 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-24Oliver Kruse0DF6F208621EE7863013
Verified2017-10-13Oliver Kruse0DF6F208621EE786316887413
Verified2017-12-12ATH0DF6F208621EE786326583513
Verified2020-04-18Oliver Kruse0FAC7664888234A9314970253
Verified2024-09-03kkmrkkblmbrbk0FAC7664888234A9322137753
History
DateUserTypeResult
2024-10-09yuriy_5-1NF-PM1
B1=12000002, B2=2107215910800
2024-09-03cressiCERT
PRP Certification
Proof certified good
2024-09-03kkmrkkblmbrbkC-PRP
M323369/87309631/731460679/4595587646711 : 0FAC7664888234A9
PRP proof power = 5
PRP: Verified
Proof certified good
2023-03-19Denial140NF-PM1
B1=1000000, B2=20563492950
2022-02-06Lisander ViaeneNF-PM1
B1=50000
2020-04-18Oliver KruseC-PRP
M323369/87309631/731460679/4595587646711 : 0FAC7664888234A9
PRP: Verified
PRP without proof (small exponent)
2017-12-12ATHC-PRP
M323369/87309631/731460679/4595587646711 : 0DF6F208621EE786
PRP: Verified
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M323369/87309631/4595587646711/731460679 : 0DF6F208621EE786
PRP: Verified
PRP without proof (small exponent)
2017-09-24Oliver KruseC-PRP
M323369/87309631/4595587646711/731460679 : 0DF6F208621EE786
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M323369/87309631/4595587646711/731460679 : 0DF6F208621EE786
PRP without proof (not generated)
2008-07-21J FeitsmaF
Factor: 731460679
2008-07-21J FeitsmaF
Factor: 4595587646711