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
3407
Composite, with 4 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
138685343927.0old
285171115078333053672064.6old
3637429679752974414912903132788.2old
19387615735146212056837325082148209736117.22009-05-06 01:51:56
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000014760 / 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 Kruse255223D1773DB9884013
Verified
No proof (small exponent)
2017-10-02kkmrkkblmbrbk255223D1773DB9884013
Verified
No proof (small exponent)
2017-12-07ATH255223D1773DB98844713
Verified
No proof (small exponent)
2020-04-17Oliver Kruse41C1768150ECD3764263653
Verified
No proof (small exponent)
2024-02-03Wentao Huang41C1768150ECD376450753
History
DateUserTypeResult
2025-04-27masserNF-PP1Start=144/29, B1=3100000000, B2=3096900000000
2024-05-25masserNF-PM1B1=77000000000, B2=1232334160722210
2024-02-03Wentao HuangC-PRPM3407/138685343/28517111507833305367/363742967975297441491290313/193876157351462120568373250821482097 : 41C1768150ECD376
2021-09-02Jinyuan WangNF-PM1B1=1300000000, B2=130000000000
2020-04-17Oliver KruseC-PRPM3407/138685343/28517111507833305367/363742967975297441491290313/193876157351462120568373250821482097 : 41C1768150ECD376
2017-12-07ATHC-PRPM3407/138685343/28517111507833305367/363742967975297441491290313/193876157351462120568373250821482097 : 255223D1773DB988
2017-10-02kkmrkkblmbrbkC-PRPM3407/138685343/28517111507833305367/363742967975297441491290313/193876157351462120568373250821482097 : 255223D1773DB988
2017-09-21Oliver KruseC-PRPM3407/known_factors : 255223D1773DB988
2009-05-06unconnectedF-ECMFactor: 193876157351462120568373250821482097