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:










MnStatusDetails
12827821Factored
FactorDigitsBitsDate
14261928396613711890841692580.22015-11-21 20:21:32
ECM
DigitsB1Curves
255000031 / 280
Estimated T-Level: 20.6
TF below 2^63 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Baugh9B79105E1217E72B6200289
Verified (Factored)2004-09-02Ars Technica Team Prime Rib9B79105E1217E72B3472278
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2022-05-14XZT80A4BE67B52AB5D8197140353
History
DateUserTypeResult
2023-10-27nordiNF-PM1
B1=500000, B2=446273100
2023-10-20nordiNF-PM1
B1=500000
2023-01-07James HeinrichNF
no factor from 2^79 to 2^80
2023-01-06James HeinrichNF
no factor from 2^78 to 2^79
2022-05-14Section 31CERT
PRP Certification
Proof certified good
2022-05-14XZTC-PRP
M12827821/1426192839661371189084169 : 80A4BE67B52AB5D8
PRP proof power = 8
PRP: Verified
Proof certified good
2015-11-21dbaughF
Factor: 1426192839661371189084169 / TF: 80-81
2015-11-21dbaughNF
no factor from 2^77 to 2^78
2015-11-21dbaughNF
no factor from 2^76 to 2^77
2014-11-18dbaughNF
no factor from 2^75 to 2^76
2013-09-16dbaughNF
no factor from 2^74 to 2^75
2013-09-16dbaughNF
no factor from 2^73 to 2^74
2013-05-26dbaughNF
no factor from 2^72 to 2^73
2012-12-08dbaughNF
no factor from 2^71 to 2^72
2012-10-26dbaughNF
no factor from 2^70 to 2^71
2012-10-07dbaughNF
no factor from 2^69 to 2^70
2012-08-09dbaughNF
no factor from 2^68 to 2^69
2012-08-06-Anonymous-NF
no factor from 2^67 to 2^68
2012-07-14dbaughNF
no factor from 2^66 to 2^67
2012-07-14dbaughNF
no factor from 2^65 to 2^66
2012-07-11dbaughNF
no factor from 2^64 to 2^65