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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MnDetails
18587
Composite, with 1 known prime factor. Cofactor is composite.
Trial Factored to 268
TF target 244
Factored
FactorDigitsBitsDate
1823040545781508144579602568706479384139620703386523953173.62023-08-07 13:14:42
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000009201 / 9201
50440000008502 / 16550
Estimated T-Level: 47.6
TF below 2^153 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShiftSoftware
FactoredUnknown607A0Unknown,(aka U)
FactoredGeorge Woltman46D6DAC0E922607A0Woltman,Prime95,first web release,(aka W4)
FactoredBrian J. Beesley46D6DAC0E922607A0Mac,John Sweeney,v1.4,(aka J3)
Factored2015-04-11MadPoo 🙂46D6DAC0E922607A12767Windows 64-bit,Prime95,v26,(aka We4)
PRP Cofactor
StatusProofDateUserResidueNumber of
known factors
ShiftTypeBase
Verified
No proof (small exponent)
2023-08-09Ryan PropperE9F7A0131067316C11574953
Verified
No proof (small exponent)
2023-08-09Naegi MakotoE9F7A0131067316C11575753
History
DateUserTypeResult
2023-08-09Naegi MakotoC-PRPM18587/18230405457815081445796025687064793841396207033865239 : E9F7A0131067316C
2023-08-09Ryan PropperC-PRPM18587/18230405457815081445796025687064793841396207033865239 : E9F7A0131067316C
2023-08-07Ryan PropperF-ECMFactor: 18230405457815081445796025687064793841396207033865239 / ECM curve 5, B1=260000000, B2=3144535624230, Montgomery Sigma=6465323175843403
2023-07-08masserNF-PP1Start=104/19, B1=410000000, B2=16400000000
2022-05-13-anonymous-NF-PM1B1=100000000000, B2=80107051974399450
2022-04-25Ruslan BorisovNFno factor TF: 65-66
2021-05-10ATHNF-PP1Start=2/7, B1=1000000000, B2=241000000000
2021-02-20Ruslan BorisovNFno factor TF: 64-65
2018-09-28James HintzNF-PM1B1=34578185215, B2=2627942076340, E=12
2018-06-26snme2pm1NFno factor TF: 63-64
2016-12-23James HintzNF-PM1B1=1830046512, B2=113462883744, E=12
2016-08-21Sid & AndyNFno factor TF: 62-63
2016-02-23LaurVNFno factor TF: 57-58
2015-09-05snme2pm1NFno factor TF: 61-62
2015-04-11MadPoo 🙂C-LL46D6DAC0E922607A
2015-04-01JayderNF-PM1B1=1172220000, B2=35360118869, E=12
2013-11-17David CampeauNF-PM1B1=1172220000
2013-11-13David CampeauNF-PM1B1=937775000
2013-10-30David CampeauNF-PM1B1=703330000
2013-10-22David CampeauNF-PM1B1=468885000
2013-10-19David CampeauNF-PM1B1=234445000
2012-12-25bcp19NFno factor TF: 60-61
2010-06-14chalsallNFno factor TF: 59-60
2010-06-14chalsallNFno 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
2002-10-19-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
2001-04-29-anonymous-NF-PM1B1=100000, B2=10000000
2000-09-29-anonymous-NFno factor TF: 1-56
2000-03-08-anonymous-NFno factor TF: 53-54
1999-10-15-anonymous-NFno factor TF: 52-53