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
6857Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
15674229638951373732732270.4old
7913978218022948086647532479.4old
21314308130069931125827672580.8old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001299 / 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 KruseA84302FF81C417AB3013
Verified2017-10-02kkmrkkblmbrbkA84302FF81C417AB3013
Verified2017-12-07ATHA84302FF81C417AB3263713
Verified2020-04-17Oliver KruseE9E65C62351079033624053
Verified2024-02-03Wentao HuangE9E65C62351079033207753
History
DateUserTypeResult
2024-02-03Wentao HuangC-PRP
M6857/1567422963895137373273/791397821802294808664753/2131430813006993112582767 : E9E65C6235107903
PRP: Verified
PRP without proof (small exponent)
2023-08-17-Anonymous-NF-PM1
B1=35000000000, B2=149103333456127050
2021-12-16Lisander ViaeneNF-PM1
B1=100000000
2020-04-17Oliver KruseC-PRP
M6857/1567422963895137373273/791397821802294808664753/2131430813006993112582767 : E9E65C6235107903
PRP: Verified
PRP without proof (small exponent)
2017-12-07ATHC-PRP
M6857/1567422963895137373273/791397821802294808664753/2131430813006993112582767 : A84302FF81C417AB
PRP: Verified
PRP without proof (small exponent)
2017-10-02kkmrkkblmbrbkC-PRP
M6857/1567422963895137373273/791397821802294808664753/2131430813006993112582767 : A84302FF81C417AB
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M6857/known_factors : A84302FF81C417AB
PRP without proof (not generated)