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
8291
Composite: proven not-prime with Lucas-Lehmer test
No factors below 266
TF target 244
P-1
B1 = 253806909602
B2 = 190145345185485690
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
504400000016550 / 16550
5511000000021163 / 40830
Estimated T-Level: 52.6 ⓘ
TF below 2^170 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShiftSoftware
VerifiedUnknown32320Unknown,(aka U)
VerifiedGeorge Woltman75B8C8A5537732320Woltman,Prime95,first web release,(aka W4)
VerifiedBrian J. Beesley75B8C8A5537732320Mac,John Sweeney,v1.4,(aka J3)
Verified2015-04-11MadPoo 🙂75B8C8A5537732325400Windows 64-bit,Prime95,v26,(aka We4)
History
DateUserTypeResult
2026-01-08One ManNF-PM1B1=253806909602, B2=190145345185485690
2023-08-30JacobZNF-PM1B1=71000000000, B2=267213020773498800
2023-08-18masserNF-PP1Start=6/5, B1=1010000000, B2=180790000000
2023-07-21masserNF-PM1B1=72000000000, B2=82656994240821000
2023-07-10masserNF-PP1Start=121/61, B1=1010000000, B2=40400000000
2022-02-28Anton RepkoNFno factor TF: 64-66
2021-05-12ATHNF-PP1Start=2/7, B1=1000000000, B2=241000000000
2021-01-22Ruslan BorisovNFno factor TF: 64-65
2018-09-05snme2pm1NFno factor TF: 63-64
2016-12-17snme2pm1NFno factor TF: 62-63
2016-12-11mikrNF-PM1B1=60000000000, B2=4800000000000, E=12
2016-11-17-anonymous-NF-PM1B1=100000000000, B2=1000000000000, E=12
2016-11-15-anonymous-NF-PM1B1=40000000000, B2=400000000000, E=12
2016-11-15-anonymous-NF-PM1B1=20000000000, B2=200000000000, E=12
2016-02-23LaurVNFno factor TF: 57-58
2015-04-11MadPoo 🙂C-LL
75B8C8A553773232
2015-04-09snme2pm1NFno factor TF: 61-62
2014-02-12c10ck3rNF-PM1B1=10000000000, B2=200000000000, 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
2002-10-19-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
2001-09-10-anonymous-NF-PM1B1=3000000000, B2=4290000000
2001-06-23-anonymous-NF-PM1B1=43000000, B2=4290000000
2001-02-11-anonymous-NF-PM1B1=1000000, B2=100000000
2000-08-01-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