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

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Exponent Range:










MnStatusDetails
275921Factored
FactorDigitsBitsDate
1643678864816377319537741537032932103.72016-11-23 17:02:20
6164311716505965432296857744454332105.62022-05-27 18:28:16
ECM
DigitsB1Curves
2550000280 / 280
30250000580 / 640
Estimated T-Level: 29.5
TF below 2^93 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski40C80
Verified (Factored)Unknown40C80
Verified (Factored)Brian J. BeesleyEA06FD414F2640C80
Verified (Factored)Eivind TrielEA06FD414F2640C8212721
Verified (Factored)2001-11-17Brian J. BeesleyEA06FD414F2640C8172742
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-22Oliver Kruse7DD154C58D8BDE6E1013
Verified (Factored)2017-10-12Oliver Kruse7DD154C58D8BDE6E116078913
Verified (Factored)2017-11-06kkmrkkblmbrbk7DD154C58D8BDE6E114064413
Verified (Factored)2020-04-17Oliver Kruse81F33603C7BDD1F3123566853
Verified2022-05-28SRJ287781F33603C7BDD1F3216168153
History
DateUserTypeResult
2022-05-28HighMansCERT
PRP Certification
Proof certified good
2022-05-28SRJ2877C-PRP
M275921/16436788648163773195377415370329/61643117165059654322968577444543 : 81F33603C7BDD1F3
PRP proof power = 5
PRP: Verified
Proof certified good
2022-05-27debrouxlF-ECM
Factor: 61643117165059654322968577444543 / (ECM curve 1, B1=250000, B2=36750000, Sigma=1391412775505600)
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2020-04-17Oliver KruseC-PRP
M275921/16436788648163773195377415370329 : 81F33603C7BDD1F3
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M275921/16436788648163773195377415370329 : 7DD154C58D8BDE6E
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M275921/16436788648163773195377415370329 : 7DD154C58D8BDE6E
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M275921/16436788648163773195377415370329 : 7DD154C58D8BDE6E
PRP: Verified (Factored)
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M275921/16436788648163773195377415370329 : 7DD154C58D8BDE6E
PRP without proof (not generated)
2016-11-23GOSF-ECM
Factor: 16436788648163773195377415370329 / (ECM curve 2, B1=250000, B2=25000000)
2016-02-03Gordon SpenceNF
no factor from 2^63 to 2^64
2016-02-03Gordon SpenceNF
no factor from 2^62 to 2^63
2015-08-13NRNF
no factor from 2^61 to 2^62
2013-07-01lycornNF
no factor from 2^60 to 2^61
2012-11-27alpertronNF-PM1
B1=100000000, B2=2000000000, E=12
2012-02-26JossNF-PM1
B1=2205050
2011-07-24JossNF-PM1
B1=1764040
2011-06-26JossNF-PM1
B1=1058424
2009-01-28Sturle SundeNF
no factor from 2^59 to 2^60
2009-01-01Sturle SundeNF
no factor from 2^58 to 2^59