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
8293Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
199033617.6old
68749467591032.7old
62085265370854589077359339164369056136118.9old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000005575 / 16550
Estimated T-Level: 46.7
TF below 2^150 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-27Oliver KruseBBBBC6896552A2843013
Verified2017-10-09Chang Chia-TcheBBBBC6896552A2843013
Verified2017-10-12kkmrkkblmbrbkBBBBC6896552A2843668713
Verified2020-04-17Oliver Kruse7674E8C2E8B02D123853
Verified2024-07-01kkmrkkblmbrbk7674E8C2E8B02D123408453
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M8293/199033/620852653708545890773593391643690561/6874946759 : 7674E8C2E8B02D12
PRP: Verified
PRP without proof (small exponent)
2023-08-30JacobZNF-PM1
B1=71000000000, B2=265422648792401100
2021-12-16Lisander ViaeneNF-PM1
B1=100000000
2020-04-17Oliver KruseC-PRP
M8293/199033/6874946759/620852653708545890773593391643690561 : 7674E8C2E8B02D12
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M8293/199033/6874946759/620852653708545890773593391643690561 : BBBBC6896552A284
PRP: Verified
PRP without proof (not generated)
2017-10-09Chang Chia-TcheC-PRP
M8293/known_factors : BBBBC6896552A284
PRP: Verified
PRP without proof (not generated)
2017-09-27Oliver KruseC-PRP
M8293/199033/6874946759/620852653708545890773593391643690561 : BBBBC6896552A284
PRP: Verified
PRP without proof (not generated)
2017-09-25Oliver KruseC-PRP
M8293/199033/6874946759/620852653708545890773593391643690561 : BBBBC6896552A284
PRP without proof (not generated)