Marin Mersenne 2^P-1
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Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
14851Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
16753889691680275065835631750226752827139127.02009-06-03 01:40:44
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
3510000001566 / 1566
4030000004588 / 4588
45110000001542 / 9201
Estimated T-Level: 40.8
TF below 2^131 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Unknown0C740
Verified (Factored)George Woltman208CF814E6590C740
Verified (Factored)Brian J. Beesley208CF814E6590C740
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-21Oliver Kruse26E21519242986051013
Verified2017-10-12kkmrkkblmbrbk26E215192429860511140513
Verified2020-04-17Oliver KruseB647ABFFE8A3343C11349453
Verified2024-07-01kkmrkkblmbrbkB647ABFFE8A3343C1726253
History
DateUserTypeResult
2024-07-01kkmrkkblmbrbkC-PRP
M14851/167538896916802750658356317502267528271 : B647ABFFE8A3343C
PRP: Verified
PRP without proof (small exponent)
2024-03-07-Anonymous-NF-PM1
B1=100000000000, B2=122154521813133810
2023-05-27JacobZNF-PM1
B1=7300000000, B2=30020805351537000
2020-04-17Oliver KruseC-PRP
M14851/167538896916802750658356317502267528271 : B647ABFFE8A3343C
PRP: Verified
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M14851/167538896916802750658356317502267528271 : 26E2151924298605
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M14851/167538896916802750658356317502267528271 : 26E2151924298605
PRP: Verified
PRP without proof (not generated)
2017-09-21Oliver KruseC-PRP
M14851/167538896916802750658356317502267528271 : 26E2151924298605
PRP without proof (not generated)
2009-06-03-Anonymous-F-ECM
Factor: 167538896916802750658356317502267528271