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
8221Factored
FactorDigitsBitsDate
920753619.8old
9667897723.2old
18480809824.1old
664135739274326471755.9old
504351329908140879449460961432995.3old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000002948 / 16550
Estimated T-Level: 45.9
TF below 2^147 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver KruseE3FBBDFA850BC99D5013
Verified2017-10-02kkmrkkblmbrbkE3FBBDFA850BC99D5013
Verified2017-12-07ATHE3FBBDFA850BC99D548113
Unverified2020-04-17Oliver Kruse859897F075C263__5738053
History
DateUserTypeResult
2023-09-01JacobZNF-PM1
B1=72000000000, B2=265422648792401100
2021-08-27Seth_TrNF-PM1
B1=400000000
2021-08-25H MichaelsonNF-PM1
B1=10000000, B2=1000000000
2020-04-17Oliver KruseC-PRP
M8221/920753/9667897/18480809/66413573927432647/50435132990814087944946096143 : 859897F075C263__
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M8221/920753/9667897/18480809/66413573927432647/50435132990814087944946096143 : E3FBBDFA850BC99D
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M8221/920753/9667897/18480809/66413573927432647/50435132990814087944946096143 : E3FBBDFA850BC99D
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M8221/known_factors : E3FBBDFA850BC99D
PRP without proof (not generated)