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

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Exponent Range:










MnStatusDetails
14771Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
85819511826.4old
18340809560725162140312270.62008-08-26 19:58:43
3646420974444796012022412478.32008-08-29 02:24:35
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001257 / 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 Kruse5B6D616E3C190EFB3013
Verified2017-10-02kkmrkkblmbrbk5B6D616E3C190EFB3013
Verified2017-12-07ATH5B6D616E3C190EFB31177513
Verified2020-04-17Oliver KruseC2400C6DF67028313854953
Verified2024-07-01kkmrkkblmbrbkC2400C6DF67028313350353
P-1 factors
DateFactorB1B2
2024-03-07364642097444479601202241100000000000122154521813133808
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M14771/1834080956072516214031/364642097444479601202241/85819511 : C2400C6DF6702831
PRP: Verified
PRP without proof (small exponent)
2024-03-07-Anonymous-F-PM1
Factor: 364642097444479601202241 / (P-1, B1=100000000000, B2=122154521813133810)
2023-05-27JacobZNF-PM1
B1=7300000000, B2=30020805351537000
2021-08-02ViliamFNF-PM1
B1=250000000, B2=42750000000
2020-04-17Oliver KruseC-PRP
M14771/85819511/1834080956072516214031/364642097444479601202241 : C2400C6DF6702831
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M14771/85819511/1834080956072516214031/364642097444479601202241 : 5B6D616E3C190EFB
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M14771/85819511/1834080956072516214031/364642097444479601202241 : 5B6D616E3C190EFB
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M14771/85819511/1834080956072516214031/364642097444479601202241 : 5B6D616E3C190EFB
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M14771/85819511/1834080956072516214031/364642097444479601202241 : 5B6D616E3C190EFB
PRP without proof (not generated)
2008-08-29-Anonymous-F-ECM
Factor: 364642097444479601202241
2008-08-26-Anonymous-F-ECM
Factor: 1834080956072516214031