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
3461
Composite, with 1 known prime factor. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
3211727401266594776995946818813098.0old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000014679 / 40830
Estimated T-Level: 51.8
TF below 2^167 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 Kruse304D14DFD9E77C9F1013
Verified
No proof (small exponent)
2017-10-12kkmrkkblmbrbk304D14DFD9E77C9F1338613
Verified
No proof (small exponent)
2020-04-17Oliver Kruse042B11296F59B6371120753
Verified
No proof (small exponent)
2024-02-03Wentao Huang042B11296F59B637150653
History
DateUserTypeResult
2025-04-29masserNF-PP1Start=168/29, B1=3100000000, B2=3096900000000
2024-02-03Wentao HuangC-PRPM3461/321172740126659477699594681881 : 042B11296F59B637
2022-05-13mikrNF-PM1B1=100000000000, B2=524347264460139120
2021-09-05Jinyuan WangNF-PM1B1=1300000000, B2=13000000000
2020-04-17Oliver KruseC-PRPM3461/321172740126659477699594681881 : 042B11296F59B637
2017-10-12kkmrkkblmbrbkC-PRPM3461/321172740126659477699594681881 : 304D14DFD9E77C9F
2017-09-21Oliver KruseC-PRPM3461/321172740126659477699594681881 : 304D14DFD9E77C9F
2017-09-21Oliver KruseC-PRPM3461/321172740126659477699594681881 : 304D14DFD9E77C9F