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
5851
Composite, with 1 known prime factor. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
27986669407177981359230301683983933107.8old
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000004503 / 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 KruseC2AF5B121A268E9F1013
Verified
No proof (small exponent)
2017-10-12kkmrkkblmbrbkC2AF5B121A268E9F1175713
Verified
No proof (small exponent)
2020-04-17Oliver KruseEEAC7D6DBF1702BC157953
Verified
No proof (small exponent)
2024-02-03Wentao HuangEEAC7D6DBF1702BC1465553
History
DateUserTypeResult
2025-05-29masserNF-PP1Start=177/43, B1=1500000000, B2=1498500000000
2024-02-03Wentao HuangC-PRPM5851/279866694071779813592303016839839 : EEAC7D6DBF1702BC
2023-07-22-anonymous-NF-PM1B1=42000000000, B2=171618937469779800
2021-12-16ANONYMOUSNF-PM1B1=200000000
2021-07-06ViliamFNF-PM1B1=1000000000, B2=201000000000
2020-04-17Oliver KruseC-PRPM5851/279866694071779813592303016839839 : EEAC7D6DBF1702BC
2017-10-12kkmrkkblmbrbkC-PRPM5851/279866694071779813592303016839839 : C2AF5B121A268E9F
2017-09-21Oliver KruseC-PRPM5851/279866694071779813592303016839839 : C2AF5B121A268E9F
2017-09-21Oliver KruseC-PRPM5851/279866694071779813592303016839839 : C2AF5B121A268E9F
2003-01-25-anonymous-NF-PM1B1=4290000000
2002-12-31-anonymous-NFno factor TF: 1-57
2002-09-29-anonymous-NF-PM1B1=3221225472, B2=4290000000, E=48
2002-08-10-anonymous-NF-PM1B1=2147483648, B2=4290000000, E=48
2002-06-02-anonymous-NF-PM1B1=1073741824, B2=4290000000, E=48
2001-08-04-anonymous-NF-PM1B1=3000000000, B2=4290000000
2001-06-17-anonymous-NF-PM1B1=43000000, B2=4290000000
2001-02-11-anonymous-NF-PM1B1=1000000, B2=100000000
2000-08-10-anonymous-NFno factor TF: 1-56
2000-02-23-anonymous-NFno factor TF: 54-55
1999-12-30-anonymous-NFno factor TF: 53-54
1999-09-22-anonymous-NFno factor TF: 52-53