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
12823Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
512921619.0old
215554631927.72008-08-26 19:58:38
151529903931133.82008-08-26 19:58:38
2964138008171238.12008-08-26 19:58:38
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001392 / 9201
Estimated T-Level: 40.8
TF below 2^130 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver KruseF0E89EAFDA2B85364013
Verified2017-10-02kkmrkkblmbrbkF0E89EAFDA2B85364013
Verified2017-12-07ATHF0E89EAFDA2B85364341313
Verified2020-04-17Oliver Kruse9A6582D027AD9CCD4332353
Verified2024-07-01kkmrkkblmbrbk9A6582D027AD9CCD4689953
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M12823/15152990393/215554631/296413800817/512921 : 9A6582D027AD9CCD
PRP: Verified
PRP without proof (small exponent)
2023-05-27-Anonymous-NF-PM1
B1=100000000000, B2=120417199046794650
2023-05-15JacobZNF-PM1
B1=8600000000, B2=36024966470342850
2022-02-05JossNF-PM1
B1=1000000, B2=3910366209750
2020-04-17Oliver KruseC-PRP
M12823/512921/215554631/15152990393/296413800817 : 9A6582D027AD9CCD
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M12823/512921/215554631/15152990393/296413800817 : F0E89EAFDA2B8536
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M12823/512921/215554631/15152990393/296413800817 : F0E89EAFDA2B8536
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M12823/512921/215554631/15152990393/296413800817 : F0E89EAFDA2B8536
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M12823/512921/215554631/15152990393/296413800817 : F0E89EAFDA2B8536
PRP without proof (not generated)
2008-08-26-Anonymous-F
Factor: 296413800817
2008-08-26-Anonymous-F
Factor: 15152990393
2008-08-26-Anonymous-F
Factor: 215554631