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
7351
Composite, with 1 known prime factor. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
6839542642863124523716771685506274346665161558315743400956185.52019-06-22 03:02:05
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000025597 / 40830
Estimated T-Level: 53.1 ⓘ
TF below 2^172 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShiftSoftware
FactoredUnknown47550Unknown,(aka U)
FactoredGeorge Woltman48A6C4D502DBC7550Woltman,Prime95,first web release,(aka W4)
FactoredBrian J. Beesley48A6C4D502DBC7550Mac,John Sweeney,v1.4,(aka J3)
Factored2015-04-11MadPoo 🙂48A6C4D502DBC7553232Windows 64-bit,Prime95,v26,(aka We4)
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Verified
No proof (small exponent)
2019-06-22ATHF49139D6FBDF21C71595153
Verified
No proof (small exponent)
2019-06-23kkmrkkblmbrbkF49139D6FBDF21C71557853
Verified
No proof (small exponent)
2020-04-17Oliver KruseF49139D6FBDF21C7185553
History
DateUserTypeResult
2025-05-27masserNF-PP1Start=154/31, B1=1300000000, B2=1298700000000
2023-08-30-anonymous-NF-PM1B1=33000000000, B2=136591402877229300
2020-04-17Oliver KruseC-PRPM7351/68395426428631245237167716855062743466651615583157434009 : F49139D6FBDF21C7
2019-06-23kkmrkkblmbrbkC-PRPM7351/68395426428631245237167716855062743466651615583157434009 : F49139D6FBDF21C7
2019-06-22ATHC-PRPM7351/68395426428631245237167716855062743466651615583157434009 : F49139D6FBDF21C7
2019-06-22Ryan PropperF-ECMFactor: 68395426428631245237167716855062743466651615583157434009
2018-09-04snme2pm1NFno factor TF: 63-64
2016-12-17snme2pm1NFno factor TF: 62-63
2016-11-19-anonymous-NF-PM1B1=100000000000, B2=1000000000000, E=12
2016-11-17-anonymous-NF-PM1B1=40000000000, B2=400000000000, E=12
2016-11-17-anonymous-NF-PM1B1=20000000000, B2=200000000000, E=12
2016-02-23LaurVNFno factor TF: 57-58
2015-07-13Sid & AndyNFno factor TF: 61-62
2015-04-11MadPoo 🙂C-LL48A6C4D502DBC755
2012-12-10SRJ2877NF-PM1B1=12500000000, B2=250000000000, E=12
2012-11-08bcp19NFno factor TF: 60-61
2010-08-10chalsallNFno factor TF: 59-60
2010-08-10chalsallNFno factor TF: 58-59
2003-02-09-anonymous-NF-PM1B1=4290000000
2002-12-25-anonymous-NFno factor TF: 1-57
2002-10-12-anonymous-NF-PM1B1=3221225472, B2=4290000000, E=48
2002-08-24-anonymous-NF-PM1B1=2147483648, B2=4290000000, E=48
2002-06-09-anonymous-NF-PM1B1=1073741824, B2=4290000000, E=48
2001-08-31-anonymous-NF-PM1B1=3000000000, B2=4290000000
2001-06-23-anonymous-NF-PM1B1=43000000, B2=4290000000
2001-02-11-anonymous-NF-PM1B1=1000000, B2=100000000
2000-07-25-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
1998-03-03-anonymous-NFno factor TF: 50-53