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:





MnDetails
6857
Composite, with 3 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
15674229638951373732732270.4old
7913978218022948086647532479.4old
21314308130069931125827672580.8old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000002666 / 16550
Estimated T-Level: 45.8 ⓘ
TF below 2^147 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Verified
No proof (small exponent)
2017-09-21Oliver KruseA84302FF81C417AB3013
Verified
No proof (small exponent)
2017-10-02kkmrkkblmbrbkA84302FF81C417AB3013
Verified
No proof (small exponent)
2017-12-07ATHA84302FF81C417AB3263713
Verified
No proof (small exponent)
2020-04-17Oliver KruseE9E65C62351079033624053
Verified
No proof (small exponent)
2024-02-03Wentao HuangE9E65C62351079033207753
History
DateUserTypeResult
2025-03-23masserNF-PP1Start=152/67, B1=1000000000, B2=999000000000
2025-03-15masserNF-PP1Start=6/5, B1=1000000000, B2=999000000000
2025-03-06masserNF-PP1Start=2/7, B1=1000000000, B2=999000000000
2024-02-03Wentao HuangC-PRPM6857/1567422963895137373273/791397821802294808664753/2131430813006993112582767 : E9E65C6235107903
2023-08-17-anonymous-NF-PM1B1=35000000000, B2=149103333456127050
2021-12-16ANONYMOUSNF-PM1B1=100000000
2020-04-17Oliver KruseC-PRPM6857/1567422963895137373273/791397821802294808664753/2131430813006993112582767 : E9E65C6235107903
2017-12-07ATHC-PRPM6857/1567422963895137373273/791397821802294808664753/2131430813006993112582767 : A84302FF81C417AB
2017-10-02kkmrkkblmbrbkC-PRPM6857/1567422963895137373273/791397821802294808664753/2131430813006993112582767 : A84302FF81C417AB
2017-09-21Oliver KruseC-PRPM6857/known_factors : A84302FF81C417AB