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

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MnStatusDetails
408637Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
69481279257457264713666472582.52009-09-03 15:22:55
ECM
DigitsB1Curves
2550000280 / 280
30250000294 / 640
Estimated T-Level: 27.3
TF below 2^86 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski23270
Verified (Factored)Andrew Clayman2A1B03504A4863270
Verified (Factored)Eivind Triel2A1B03504A486327332515
Verified (Factored)2002-02-10Dennis Pope2A1B03504A48632717451
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-23Oliver Kruse33EF00949C4A9DE71013
Verified2017-11-02kkmrkkblmbrbk33EF00949C4A9DE716622713
Verified2020-04-18Oliver KruseD29425CB9CDB31EC111712053
Verified2024-10-21kkmrkkblmbrbkD29425CB9CDB31EC13493153
History
DateUserTypeResult
2024-10-21JG48CERT
PRP Certification
Proof certified good
2024-10-21kkmrkkblmbrbkC-PRP
M408637/6948127925745726471366647 : D29425CB9CDB31EC
PRP proof power = 5
PRP: Verified
Proof certified good
2020-04-18Oliver KruseC-PRP
M408637/6948127925745726471366647 : D29425CB9CDB31EC
PRP: Verified
PRP without proof (small exponent)
2017-11-02kkmrkkblmbrbkC-PRP
M408637/6948127925745726471366647 : 33EF00949C4A9DE7
PRP: Verified
PRP without proof (small exponent)
2017-09-23Oliver KruseC-PRP
M408637/6948127925745726471366647 : 33EF00949C4A9DE7
PRP: Verified
PRP without proof (not generated)
2016-03-16alpertronNF-PM1
B1=3000000, B2=100000000, E=12
2009-09-03Ryan SchulzF-ECM
Factor: 6948127925745726471366647
2008-11-19markrNF-PM1
B1=1000000, B2=30000000, E=12