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
5857
Composite, with 2 known prime factors. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
90804651029190761128332272.9old
976979431054431668434874392686.3old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000004596 / 16550
Estimated T-Level: 46.4
TF below 2^149 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 Kruse73BE3EB50F01E2272013
Verified
No proof (small exponent)
2017-10-02kkmrkkblmbrbk73BE3EB50F01E2272013
Verified
No proof (small exponent)
2017-12-07ATH73BE3EB50F01E2272558913
Verified
No proof (small exponent)
2020-04-17Oliver KruseC6E05BC476833F6A237553
Verified
No proof (small exponent)
2024-02-03Wentao HuangC6E05BC476833F6A2163653
History
DateUserTypeResult
2025-05-29masserNF-PP1Start=154/41, B1=1500000000, B2=1498500000000
2024-02-03Wentao HuangC-PRPM5857/9080465102919076112833/97697943105443166843487439 : C6E05BC476833F6A
2023-07-23-anonymous-NF-PM1B1=42000000000, B2=171618937469779800
2021-07-06ViliamFNF-PM1B1=1000000000, B2=201000000000
2020-04-17Oliver KruseC-PRPM5857/9080465102919076112833/97697943105443166843487439 : C6E05BC476833F6A
2017-12-07ATHC-PRPM5857/9080465102919076112833/97697943105443166843487439 : 73BE3EB50F01E227
2017-10-02kkmrkkblmbrbkC-PRPM5857/9080465102919076112833/97697943105443166843487439 : 73BE3EB50F01E227
2017-09-21Oliver KruseC-PRPM5857/known_factors : 73BE3EB50F01E227