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

PrimeNet Exponent Status

Exponent Range:










MnStatusDetails
3509827Factored
FactorDigitsBitsDate
128811348443017991753.5old
778123956279752231756.12015-03-10 12:10:18
ECM
DigitsB1Curves
25500003 / 280
Estimated T-Level: 20.1 ⓘ
TF below 2^62 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2017-11-07kkmrkkblmbrbk2659E76798CCA1FF2173500053
Verified2017-11-24Oliver Kruse2659E76798CCA1FF2109321453
History
DateUserTypeResult
2022-09-09JossNF-PM1
B1=1000000, B2=233218440
2022-06-02LordJuliusNF
no factor from 2^66 to 2^67
2022-05-28LordJuliusNF
no factor from 2^65 to 2^66
2022-05-28LordJuliusNF
no factor from 2^64 to 2^65
2022-05-28LordJuliusNF
no factor from 2^63 to 2^64
2022-05-28LordJuliusNF
no factor from 2^62 to 2^63
2022-04-24JossNF-PM1
B1=1000000, B2=145208700
2022-01-31JossNF
no factor from 2^67 to 2^68
2020-10-09JossNF-PM1
B1=350982, B2=3509827, E=6
2017-11-24Oliver KruseC-PRP
M3509827/12881134844301799/77812395627975223 : 2659E76798CCA1FF
PRP: Verified
PRP without proof (not generated)
2017-11-07kkmrkkblmbrbkC-PRP
M3509827/12881134844301799/77812395627975223 : 2659E76798CCA1FF
PRP: Verified
PRP without proof (not generated)
2015-03-10TJAOIF
Factor: 77812395627975223 / TF: 56-57