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
4657Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
1145623720.1old
25091293338786817991961.1old
487121887082361413194567152368693832363072571946151.82021-04-05 11:56:41
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000015819 / 40830
Estimated T-Level: 51.9
TF below 2^168 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-21Oliver KruseA3C8EB3DA9C09EEA2013
Verified (Factored)2017-10-12kkmrkkblmbrbkA3C8EB3DA9C09EEA2149113
Verified (Factored)2020-04-17Oliver Kruse78A8B35E518C10F6276453
Verified2021-04-05mikr78A8B35E518C10F6344853
Verified2021-04-09Zero78A8B35E518C10F63278753
History
DateUserTypeResult
2023-05-27-Anonymous-NF-PM1
B1=68000000000, B2=682015465283852700
2021-07-08ViliamFNF-PM1
B1=1000000000, B2=201000000000
2021-04-09ZeroC-PRP
M4657/1145623/2509129333878681799/4871218870823614131945671523686938323630725719 : 78A8B35E518C10F6
PRP: Verified
PRP without proof (small exponent)
2021-04-05mikrC-PRP
M4657/1145623/2509129333878681799/4871218870823614131945671523686938323630725719 : 78A8B35E518C10F6
PRP: Verified
PRP without proof (small exponent)
2021-04-05Ryan PropperF-ECM
Factor: 4871218870823614131945671523686938323630725719 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=7675372023159016818)
2020-04-17Oliver KruseC-PRP
M4657/1145623/2509129333878681799 : 78A8B35E518C10F6
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M4657/1145623/2509129333878681799 : A3C8EB3DA9C09EEA
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M4657/1145623/2509129333878681799 : A3C8EB3DA9C09EEA
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M4657/1145623/2509129333878681799 : A3C8EB3DA9C09EEA
PRP without proof (not generated)