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
16381
Composite, with 1 known prime factor. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
811489984032677953367991527647028995012658567946152.52023-06-22 11:31:30
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000002665 / 16550
Estimated T-Level: 45.8 ⓘ
TF below 2^147 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShiftSoftware
FactoredUnknown0BD30Unknown,(aka U)
FactoredGeorge Woltman025005C687C28BD30Woltman,Prime95,first web release,(aka W4)
FactoredBrian J. Beesley025005C687C28BD30Mac,John Sweeney,v1.4,(aka J3)
Factored2015-04-11MadPoo 🙂025005C687C28BD31792Windows 64-bit,Prime95,v26,(aka We4)
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Verified
No proof (small exponent)
2023-06-24Ryan Propper968B3F50C96F9FA81774253
Verified
No proof (small exponent)
2023-06-28XZT968B3F50C96F9FA811098453
History
DateUserTypeResult
2023-10-23-anonymous-NF-PM1B1=1000000000000, B2=1402034650733706990
2023-06-28XZTC-PRPM16381/8114899840326779533679915276470289950126585679 : 968B3F50C96F9FA8
2023-06-24Ryan PropperC-PRPM16381/8114899840326779533679915276470289950126585679 : 968B3F50C96F9FA8
2023-06-22Ryan PropperF-ECMFactor: 8114899840326779533679915276470289950126585679
2022-04-06-anonymous-NF-PM1B1=100000000000, B2=100013732677278420
2022-01-14Ruslan BorisovNFno factor TF: 65-66
2021-05-09ATHNF-PP1Start=2/7, B1=1000000000, B2=241000000000
2021-03-02Anton RepkoNFno factor TF: 64-65
2021-02-10Ruslan BorisovNFno factor TF: 64-65
2018-10-19snme2pm1NFno factor TF: 63-64
2018-08-11James HintzNF-PM1B1=22179914002, B2=1663493550150, E=12
2016-06-04Sid & AndyNFno factor TF: 62-63
2016-03-02c10ck3rNF-PM1B1=10000000000, B2=100000000000, E=12
2016-02-23LaurVNFno factor TF: 57-58
2015-08-13snme2pm1NFno factor TF: 61-62
2015-04-11MadPoo 🙂C-LL025005C687C28BD3
2012-12-25bcp19NFno factor TF: 60-61
2012-10-12JossNF-PM1B1=503481383, B2=50348138300, E=12
2010-06-27George WoltmanNFno factor TF: 59-60
2010-06-27George WoltmanNFno factor TF: 58-59
2003-09-29-anonymous-NF-PM1B1=8388608, B2=838860800, E=12
2003-09-29-anonymous-NF-PM1B1=16777216, B2=1677721600, E=12
2003-07-06-anonymous-NF-PM1B1=4194304, B2=419430400, E=12
2003-05-19-anonymous-NF-PM1B1=2097152, B2=209715200, E=12
2003-04-27-anonymous-NF-PM1B1=1048576, B2=104857600, E=48
2003-04-03-anonymous-NF-PM1B1=524288, B2=52428800, E=48
2003-03-27-anonymous-NF-PM1B1=262144, B2=26214400, E=30
2003-02-02-anonymous-NF-PM1B1=131072, B2=13107200, E=30
2002-10-07-anonymous-NFno factor TF: 1-57
2002-07-14-anonymous-NF-PM1B1=65536, B2=6553600, E=12
2002-06-09-anonymous-NF-PM1B1=32768, B2=3276800
2002-04-28-anonymous-NF-PM1B1=16384, B2=1638400
2001-08-18Alex KruppaNF-PM1B1=1000000, B2=100000000
2001-07-29Alex KruppaNF-PM1B1=1000000, B2=100000000
2001-07-29Alex KruppaNF-PM1B1=100000000, B2=4290000000
2001-07-22Alex KruppaNF-PM1B1=100000000, B2=2147483647
2001-04-29-anonymous-NF-PM1B1=100000, B2=10000000
2000-09-23-anonymous-NFno factor TF: 1-56
2000-03-08-anonymous-NFno factor TF: 53-54
1999-09-22-anonymous-NFno factor TF: 52-53