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
5351
Composite, with 4 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
256897018263591444.5old
764749438555320112821594353797822334112.6old
73084959923504450785863539447642097124139129.12020-10-05 20:27:46
61901124819510410195397014490218275841923919345148.82020-10-06 23:23:02
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000008520 / 16550
Estimated T-Level: 47.6 ⓘ
TF below 2^153 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Factored
No proof (small exponent)
2017-09-21Oliver KruseDF8B77D243272E4D2013
Factored
No proof (small exponent)
2017-10-02kkmrkkblmbrbkDF8B77D243272E4D2013
Factored
No proof (small exponent)
2017-12-07ATHDF8B77D243272E4D2466913
Factored
No proof (small exponent)
2020-04-17Oliver Kruse29F46CBABCC189AC234453
Factored
No proof (small exponent)
2020-10-05Kirill Frolov29F46CBABCC189AC3235053
Verified
No proof (small exponent)
2020-10-07mnd929F46CBABCC189AC446653
Verified
No proof (small exponent)
2020-10-09arnaud29F46CBABCC189AC47653
History
DateUserTypeResult
2025-05-01masserNF-PP1Start=76/53, B1=2100000000, B2=2097900000000
2023-07-05-anonymous-NF-PM1B1=58000000000, B2=237664709340158100
2022-01-24Ethan O'ConnorNF-PM1B1=1300000000
2021-12-16Oliver KruseNF-PM1B1=1000000000, B2=1002849399191640
2020-10-09arnaudC-PRPM5351/25689701826359/7647494385553201128215943537978223/730849599235044507858635394476420971241/619011248195104101953970144902182758419239193 : 29F46CBABCC189AC
2020-10-07mnd9C-PRPM5351/25689701826359/7647494385553201128215943537978223/730849599235044507858635394476420971241/619011248195104101953970144902182758419239193 : 29F46CBABCC189AC
2020-10-06Ryan PropperF-ECMFactor: 619011248195104101953970144902182758419239193
2020-10-05Kirill FrolovC-PRPM5351/25689701826359/7647494385553201128215943537978223/730849599235044507858635394476420971241 : 29F46CBABCC189AC
2020-10-05Ryan PropperF-ECMFactor: 730849599235044507858635394476420971241
2020-04-17Oliver KruseC-PRPM5351/25689701826359/7647494385553201128215943537978223 : 29F46CBABCC189AC
2017-12-07ATHC-PRPM5351/25689701826359/7647494385553201128215943537978223 : DF8B77D243272E4D
2017-10-02kkmrkkblmbrbkC-PRPM5351/25689701826359/7647494385553201128215943537978223 : DF8B77D243272E4D
2017-09-21Oliver KruseC-PRPM5351/known_factors : DF8B77D243272E4D
1999-04-23-anonymous-FFactor: 25689701826359