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
13679Factored
FactorDigitsBitsDate
109433616.7old
246223617.92008-08-26 19:58:40
100157639926.62008-08-26 19:58:40
312975521928.22008-08-26 19:58:40
197059224178160821212064.12008-08-29 02:24:33
129544597936816272565787291090704089320896943139.92023-06-09 08:20:34
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001361 / 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
Verified (Factored)2017-09-21Oliver KruseA499E92412B304095013
Verified (Factored)2017-10-02kkmrkkblmbrbkA499E92412B304095013
Verified (Factored)2017-12-07ATHA499E92412B304095778513
Verified (Factored)2020-04-17Oliver KruseA2D1D21DD345B30A51205553
Verified2023-06-09Denial140A2D1D21DD345B30A610053
P-1 factors
DateFactorB1B2
2024-01-2919705922417816082121100000000000122154521813133808
History
DateUserTypeResult
2024-01-29Anton RepkoF-PM1
Factor: 19705922417816082121 / (P-1, B1=100000000000, B2=122154521813133810)
2023-06-09Denial140C-PRP
M13679/109433/246223/100157639/312975521/19705922417816082121/1295445979368162725657872910907040893208969 : A2D1D21DD345B30A
PRP: Verified
PRP without proof (small exponent)
2023-06-09Denial140F-ECM
Factor: 1295445979368162725657872910907040893208969 / (ECM curve 179, B1=3000000, B2=22972799850, Sigma=2949510651080596)
2023-05-20JacobZNF-PM1
B1=8000000000, B2=35524619698317750
2022-03-04Ethan O'ConnorNF-PM1
B1=1000000000, B2=248016220902450
2021-08-27Seth_TrNF-PM1
B1=400000000
2020-04-17Oliver KruseC-PRP
M13679/109433/246223/100157639/312975521/19705922417816082121 : A2D1D21DD345B30A
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M13679/109433/246223/100157639/312975521/19705922417816082121 : A499E92412B30409
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M13679/109433/246223/100157639/312975521/19705922417816082121 : A499E92412B30409
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M13679/109433/246223/100157639/312975521/19705922417816082121 : A499E92412B30409
PRP without proof (not generated)
2008-08-29-Anonymous-F-ECM
Factor: 19705922417816082121
2008-08-26-Anonymous-F
Factor: 312975521
2008-08-26-Anonymous-F
Factor: 100157639
2008-08-26-Anonymous-F
Factor: 246223