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

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Exponent Range:










MnStatusDetails
12641Composite, with 5 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
783743619.6old
4045121721.92008-08-26 19:58:37
181985903691134.12008-08-26 19:58:37
412494791511135.32008-08-26 19:58:37
2342217645764788571857.72008-08-29 02:24:31
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001267 / 9201
Estimated T-Level: 40.7
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 Kruse55CD52A60DF88A205013
Verified2017-10-02kkmrkkblmbrbk55CD52A60DF88A205013
Verified2017-12-07ATH55CD52A60DF88A205586013
Verified2020-04-17Oliver Kruse82A8F5FC607040775899353
Verified2024-07-01kkmrkkblmbrbk82A8F5FC607040775195653
P-1 factors
DateFactorB1B2
2023-05-13234221764576478857100000000000120417199046794656
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M12641/18198590369/234221764576478857/4045121/41249479151/783743 : 82A8F5FC60704077
PRP: Verified
PRP without proof (small exponent)
2023-05-13Anton RepkoF-PM1
Factor: 234221764576478857 / (P-1, B1=100000000000, B2=120417199046794650)
2021-08-27Seth_TrNF-PM1
B1=400000000
2020-04-17Oliver KruseC-PRP
M12641/783743/4045121/18198590369/41249479151/234221764576478857 : 82A8F5FC60704077
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M12641/783743/4045121/18198590369/41249479151/234221764576478857 : 55CD52A60DF88A20
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M12641/783743/4045121/18198590369/41249479151/234221764576478857 : 55CD52A60DF88A20
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M12641/783743/4045121/18198590369/41249479151/234221764576478857 : 55CD52A60DF88A20
PRP without proof (not generated)
2008-08-29-Anonymous-F-ECM
Factor: 234221764576478857
2008-08-26-Anonymous-F
Factor: 41249479151
2008-08-26-Anonymous-F
Factor: 18198590369
2008-08-26-Anonymous-F
Factor: 4045121