Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

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Exponent Range:





MnDetails
837413
Composite, with 1 known prime factor. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
545008028156320139172542092685.52026-10-03 16:54:32
ECM
DigitsB1Curves
2550000280 / 280
30250000416 / 640
Estimated T-Level: 28.3 ⓘ
TF below 2^89 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShiftSoftware
FactoredDavid Tegerdine49B13B03CBA7478B0Windows,Prime95,v13,(aka WP1)
FactoredDavid Slowinski78B0Cray,Slowinski,(aka D3)
FactoredPaul Victor Novarese49B13B03CBA7478B0Mlucas,Ernst Mayer,v2.5 and later,(aka E2)
Factored2015-04-11MadPoo 🙂49B13B03CBA7478B762882Windows 64-bit,Prime95,v26,(aka We4)
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors		ShiftTypeBase
Verified
Certified Good
2026-10-03WileECoyote58EEE5C382991A88142984553
History
DateUserTypeResult
2026-10-03Massimo Cappelli (ik5pwa)CERT
Proof certified good
2026-10-03WileECoyoteC-PRP
Proof Certified Good

Proof Power: 6

2026-10-03WileECoyoteF-ECMFactor: 54500802815632013917254209 / ECM curve 15, B1=608618, B2=2365698166, Edwards Sigma=572480922071100
2024-05-06Ethan O'ConnorNF-PM1B1=35000000, B2=9976142005830
2023-12-02Ethan O'ConnorNF-PM1B1=25000000, B2=6025187127960
2023-10-15JossNF-PM1B1=4273897, B2=16626019410
2023-10-12JossNF-PM1B1=4273897, B2=7896324150
2023-10-04JossNF-PM1B1=4273897
2023-10-02masserNF-PP1Start=6/5, B1=10000000, B2=790000000
2023-09-24masserNF-PP1Start=84/47, B1=10000000, B2=790000000
2023-07-16JossNF-PM1B1=1000000, B2=30828978180
2023-03-22JossNF-PM1B1=1000000, B2=13369536180
2022-12-10JossNF-PM1B1=1000000, B2=4639815180
2021-07-30gLaussNF-PP1Start=2/7, B1=7500000, B2=585000000
2017-12-15Smok_bmv NFno factor TF: 67-68
2017-12-14Smok_bmv NFno factor TF: 66-67
2017-12-14Smok_bmv NFno factor TF: 65-66
2016-02-18lycornNFno factor TF: 64-65
2015-10-03Gordon SpenceNFno factor TF: 63-64
2015-10-03Gordon SpenceNFno factor TF: 62-63
2015-04-11MadPoo 🙂C-LL49B13B03CBA7478B
2015-02-20TJAOINFno factor TF: 61-62
2012-07-19markrNF-PM1B1=10000000, B2=200000000, E=12
2010-05-20Architects CubedNFno factor TF: 60-61
2009-08-29Carsten KossendeyNF-PM1B1=837413
2008-10-10Sturle SundeNFno factor TF: 59-60
2008-10-10Sturle SundeNFno factor TF: 58-59
2003-09-09-anonymous-NFno factor TF: 1-58
2003-07-30-anonymous-NF-PM1B1=131072, B2=13107200, E=12
2002-12-02-anonymous-NF-PM1B1=65537, B2=6553700, E=12
2002-06-15-anonymous-NF-PM1B1=32768, B2=3276800, E=12
2002-05-18-anonymous-NF-PM1B1=16384, B2=1638400
2002-04-07-anonymous-NF-PM1B1=8192, B2=819200
2002-02-10-anonymous-NF-PM1B1=4096, B2=409600
2002-01-08-anonymous-NF-PM1B1=2000, B2=200000
2001-10-20-anonymous-NFno factor TF: 1-57
2001-01-21-anonymous-NFno factor TF: 1-56
2000-08-10-anonymous-NFno factor TF: 1-55