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

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Exponent Range:










MnStatusDetails
509867Factored
FactorDigitsBitsDate
584860746384152896531192375.62009-09-20 01:04:01
ECM
DigitsB1Curves
2550000280 / 280
30250000214 / 640
Estimated T-Level: 26.7
TF below 2^84 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski10040
Verified (Factored)Mike Gach372409D0A5D810040
Verified (Factored)2002-04-28Dennis Pope372409D0A5D8100484096
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-27Oliver Kruse7259129704DA85C71013
Verified2017-09-28Oliver Kruse7259129704DA85C71013
Verified2017-11-07kkmrkkblmbrbk7259129704DA85C7144760813
Unverified (Reliable)2020-04-19Oliver KruseE9116D3C46C1E5__110768253
History
DateUserTypeResult
2023-10-29gLaussNF-PP1
Start=2/7, B1=5000000, B2=185000000
2022-12-15USAFSSNF-PM1
B1=2000000, B2=6733146420
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2020-04-19Oliver KruseC-PRP
M509867/58486074638415289653119 : E9116D3C46C1E5__
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-11-07kkmrkkblmbrbkC-PRP
M509867/58486074638415289653119 : 7259129704DA85C7
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-09-28Oliver KruseC-PRP
M509867/58486074638415289653119 : 7259129704DA85C7
PRP: Unverified (Reliable)
PRP without proof (not generated)
2017-09-27Oliver KruseC-PRP
M509867/58486074638415289653119 : 7259129704DA85C7
PRP: Unverified (Reliable)
PRP without proof (not generated)
2016-03-16alpertronNF-PM1
B1=1500000, B2=50000000, E=12
2009-09-20JimBaF-ECM
Factor: 58486074638415289653119