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:










MnStatusDetails
3057283Factored
FactorDigitsBitsDate
167884568030006902291396872683.82021-12-28 19:23:25
ECM
DigitsB1Curves
255000086 / 280
Estimated T-Level: 21.5
TF below 2^67 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Dan Woerner42EA10F28D23D4DE0
Verified (Factored)2000-11-15Willamette Mathematics42EA10F28D23D4DE1962632
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2021-12-31/r/counting5FEC232CD09D381B1151815053
P-1 factors
DateFactorB1B2
2021-12-2816788456803000690229139687324839511851585207
History
DateUserTypeResult
2022-02-06JossNF-PM1
B1=1000000, B2=119912100
2022-01-20JossNF
no factor from 2^67 to 2^68
2021-12-31argiloCERT
PRP Certification
Proof certified good
2021-12-31/r/countingC-PRP
M3057283/16788456803000690229139687 : 5FEC232CD09D381B
PRP proof power = 7
PRP: Verified
Proof certified good
2021-12-28oodairaF-PM1
Factor: 16788456803000690229139687 / (P-1, B1=32483951, B2=1851585207, E=12)
2020-07-06Smok_bmv NF
no factor from 2^71 to 2^72
2020-07-06Smok_bmv NF
no factor from 2^70 to 2^71
2020-07-03Smok_bmv NF
no factor from 2^69 to 2^70
2020-07-03Smok_bmv NF
no factor from 2^68 to 2^69
2018-07-28ramgeisNF
no factor from 2^67 to 2^68
2017-10-28mikrNF-PM1
B1=3000000, B2=100000000, E=12
2017-05-09Gordon SpenceNF
no factor from 2^66 to 2^67
2017-01-04JossNF-PM1
B1=132000
2016-10-16Squeeky_SquirrelNF-PM1
B1=195000, B2=5362500, E=6
2015-06-06ThaNF
no factor from 2^65 to 2^66
2015-02-07VictordeHollanderNF
no factor from 2^64 to 2^65
2015-02-07VictordeHollanderNF
no factor from 2^63 to 2^64
2013-01-07dbaughNF
no factor from 2^62 to 2^63
2011-03-29Sid & AndyNF
no factor from 2^61 to 2^62
2010-10-01markrNF-PM1
B1=110000, B2=2447500, E=6
2009-02-13Sturle SundeNF
no factor from 2^60 to 2^61