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
40849Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
41109616631031.9old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
403000000810 / 4588
Estimated T-Level: 35.9
TF below 2^114 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver KruseD81E87706B398F1A1013
Verified2017-10-13kkmrkkblmbrbkD81E87706B398F1A11447613
Verified2020-04-17Oliver Kruse51FDD84F869BFD0413222253
Verified2024-07-01kkmrkkblmbrbk51FDD84F869BFD0411504653
History
DateUserTypeResult
2025-07-30masserNF-PM1
B1=8200000000, B2=3410930151829200
2024-07-01kkmrkkblmbrbkC-PRP
M40849/4110961663 : 51FDD84F869BFD04
PRP: Verified
PRP without proof (small exponent)
2023-04-07JacobZNF-PM1
B1=890000000, B2=735546765984030
2021-12-18Lisander ViaeneNF-PM1
B1=1000000000
2021-05-02ATHNF-PP1
Start=2/7, B1=100000000, B2=10000000000
2020-04-17Oliver KruseC-PRP
M40849/4110961663 : 51FDD84F869BFD04
PRP: Verified
PRP without proof (small exponent)
2017-10-13kkmrkkblmbrbkC-PRP
M40849/4110961663 : D81E87706B398F1A
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M40849/4110961663 : D81E87706B398F1A
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M40849/4110961663 : D81E87706B398F1A
PRP without proof (not generated)
2016-09-13kkmrkkblmbrbkNF-PM1
B1=100000000, B2=2000000000, E=12