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

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Exponent Range:










MnStatusDetails
13693Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
266493167928.0old
2683620242346292648413832477.82008-08-29 02:24:33
83654208214009381118151028332892.82010-06-18 21:11:23
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001329 / 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 Kruse1909ACCC4057A04D3013
Verified2017-10-02kkmrkkblmbrbk1909ACCC4057A04D3013
Verified2017-12-07ATH1909ACCC4057A04D3662113
Verified2020-04-17Oliver KruseBA197B225F00DD7331171553
Verified2024-07-01kkmrkkblmbrbkBA197B225F00DD733939253
P-1 factors
DateFactorB1B2
2024-01-298365420821400938111815102833100000000000122154521813133808
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M13693/266493167/268362024234629264841383/8365420821400938111815102833 : BA197B225F00DD73
PRP: Verified
PRP without proof (small exponent)
2024-01-29-Anonymous-F-PM1
Factor: 8365420821400938111815102833 / (P-1, B1=100000000000, B2=122154521813133810)
2023-05-20JacobZNF-PM1
B1=8000000000, B2=35524619698317750
2023-02-11USAFSSNF-PM1
B1=6000000, B2=587625088050
2022-02-06Lisander ViaeneNF-PM1
B1=50000
2020-04-17Oliver KruseC-PRP
M13693/266493167/268362024234629264841383/8365420821400938111815102833 : BA197B225F00DD73
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M13693/266493167/268362024234629264841383/8365420821400938111815102833 : 1909ACCC4057A04D
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M13693/266493167/268362024234629264841383/8365420821400938111815102833 : 1909ACCC4057A04D
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M13693/266493167/268362024234629264841383/8365420821400938111815102833 : 1909ACCC4057A04D
PRP without proof (not generated)
2010-06-18James HintzF-ECM
Factor: 8365420821400938111815102833
2008-08-29-Anonymous-F-ECM
Factor: 268362024234629264841383