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

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Exponent Range:










MnStatusDetails
817823Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
119402159926.8old
78030586056891342.82008-07-16 09:27:09
ECM
DigitsB1Curves
2550000280 / 280
30250000100 / 640
Estimated T-Level: 25.8
TF below 2^81 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-28Oliver KruseE808ED160D7D36702013
Verified2017-10-14Oliver KruseE808ED160D7D3670271958913
Verified2017-12-17ATHE808ED160D7D3670258937313
Verified2020-04-21Oliver KruseDF9604827D66FF0D261526553
Verified2025-04-23kkmrkkblmbrbkDF9604827D66FF0D223446253
History
DateUserTypeResult
2025-04-23gunnerman1CERT
PRP Certification
Proof certified good
2025-04-23kkmrkkblmbrbkC-PRP
M817823/119402159/7803058605689 : DF9604827D66FF0D
PRP proof power = 6
PRP: Verified
Proof certified good
2023-02-22USAFSSNF-PM1
B1=1500000, B2=3613488450
2020-04-21Oliver KruseC-PRP
M817823/119402159/7803058605689 : DF9604827D66FF0D
PRP: Verified
PRP without proof (small exponent)
2017-12-17ATHC-PRP
M817823/119402159/7803058605689 : E808ED160D7D3670
PRP: Verified
PRP without proof (small exponent)
2017-10-14Oliver KruseC-PRP
M817823/119402159/7803058605689 : E808ED160D7D3670
PRP: Verified
PRP without proof (small exponent)
2017-09-28Oliver KruseC-PRP
M817823/119402159/7803058605689 : E808ED160D7D3670
PRP: Verified
PRP without proof (not generated)
2016-03-17alpertronNF-PM1
B1=300000, B2=10000000, E=12
2008-07-16J FeitsmaF
Factor: 7803058605689