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
6827Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
108958921926.7old
43182343161911342.0old
492163356062756974392065.4old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001300 / 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 Kruse319C9909E1A28FF23013
Verified2017-10-02kkmrkkblmbrbk319C9909E1A28FF23013
Verified2017-12-07ATH319C9909E1A28FF23582913
Verified2020-04-17Oliver Kruse52A0335C9C05D3D43384253
Verified2024-02-03Wentao Huang52A0335C9C05D3D43611953
History
DateUserTypeResult
2024-02-03Wentao HuangC-PRP
M6827/108958921/4318234316191/49216335606275697439 : 52A0335C9C05D3D4
PRP: Verified
PRP without proof (small exponent)
2023-08-15-Anonymous-NF-PM1
B1=36000000000, B2=144596153139137700
2021-12-16Lisander ViaeneNF-PM1
B1=100000000
2020-04-17Oliver KruseC-PRP
M6827/108958921/4318234316191/49216335606275697439 : 52A0335C9C05D3D4
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M6827/108958921/4318234316191/49216335606275697439 : 319C9909E1A28FF2
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M6827/108958921/4318234316191/49216335606275697439 : 319C9909E1A28FF2
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M6827/known_factors : 319C9909E1A28FF2
PRP without proof (not generated)