Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
574859Factored
FactorDigitsBitsDate
2628227650565830871348774812787.82014-03-28 11:24:45
ECM
DigitsB1Curves
2550000280 / 280
30250000200 / 640
Estimated T-Level: 26.6 ⓘ
TF below 2^83 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski3CB00
Verified (Factored)Charles F. Kerchner IIIA96B96D35E2D7CB00
Verified (Factored)Klaus KastensA96B96D35E2D7CB0299680
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-09-27Oliver Kruse8049098C991FD50E1013
Verified2017-09-28Oliver Kruse8049098C991FD50E1013
Verified2017-11-08kkmrkkblmbrbk8049098C991FD50E13638613
Unverified (Reliable)2020-04-19Oliver Kruse081CCE99E9CB06__112618753
History
DateUserTypeResult
2022-12-21USAFSSNF-PM1
B1=1750000, B2=5527862340
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2020-04-19Oliver KruseC-PRP
M574859/262822765056583087134877481 : 081CCE99E9CB06__
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-11-08kkmrkkblmbrbkC-PRP
M574859/262822765056583087134877481 : 8049098C991FD50E
PRP: Unverified (Reliable)
PRP without proof (small exponent)
2017-09-28Oliver KruseC-PRP
M574859/262822765056583087134877481 : 8049098C991FD50E
PRP: Unverified (Reliable)
PRP without proof (not generated)
2017-09-27Oliver KruseC-PRP
M574859/262822765056583087134877481 : 8049098C991FD50E
PRP: Unverified (Reliable)
PRP without proof (not generated)
2014-03-28bamF-ECM
Factor: 262822765056583087134877481
2013-10-08David CampeauNF-PM1
B1=1225000, B2=34300000, E=12
2011-05-26JossNF-PM1
B1=1000000