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

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Exponent Range:










MnStatusDetails
289381Factored
FactorDigitsBitsDate
2761223140713833724833298137872932104.42010-05-17 01:42:19
ECM
DigitsB1Curves
2550000280 / 280
30250000497 / 640
Estimated T-Level: 28.9
TF below 2^91 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski14AC0
Verified (Factored)Unknown14AC0
Verified (Factored)Guillermo Ballester Valor20005371A39F94AC0
Verified (Factored)Brian J. Beesley20005371A39F94AC0
Verified (Factored)Eivind Triel20005371A39F94AC111410
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver KruseC01169D67019088A1013
Verified2017-10-12Oliver KruseC01169D67019088A126642613
Verified2017-11-06kkmrkkblmbrbkC01169D67019088A12870013
Unverified (Reliable)2020-04-17Oliver Kruse8805DDCCA7DF3C__117798853
History
DateUserTypeResult
2023-12-10USAFSSNF-PM1
B1=1875000, B2=8578003980
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2020-04-17Oliver KruseC-PRP
M289381/27612231407138337248332981378729 : 8805DDCCA7DF3C__
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M289381/27612231407138337248332981378729 : C01169D67019088A
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M289381/27612231407138337248332981378729 : C01169D67019088A
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M289381/27612231407138337248332981378729 : C01169D67019088A
PRP: Unverified (Reliable)
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M289381/27612231407138337248332981378729 : C01169D67019088A
PRP without proof (not generated)
2010-05-17Sturle SundeF-ECM
Factor: 27612231407138337248332981378729
2009-01-26Sturle SundeNF
no factor from 2^59 to 2^60
2009-01-05Sturle SundeNF
no factor from 2^58 to 2^59