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

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MnStatusDetails
258421Factored
FactorDigitsBitsDate
1522405110810406012156408572787.02020-09-30 15:51:06
4110002506940204481557014392788.42009-04-20 15:02:00
16688119747562992775372048392890.42017-06-02 12:26:19
ECM
DigitsB1Curves
2550000280 / 280
30250000418 / 640
Estimated T-Level: 28.3
TF below 2^89 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski1D2D0
Verified (Factored)Unknown1D2D0
Verified (Factored)Brian J. Beesley6271683FFC4B1D2D0
Verified (Factored)Eivind Triel6271683FFC4B1D2D167001
Verified (Factored)2001-10-13Brian J. Beesley6271683FFC4B1D2D248354
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-22Oliver KruseF8E414EBDF34F4032013
Verified (Factored)2017-10-12Oliver KruseF8E414EBDF34F403225202913
Verified (Factored)2017-11-06kkmrkkblmbrbkF8E414EBDF34F40328822313
Verified (Factored)2020-04-17Oliver Kruse9ADDDA3750641A63222737053
Verified2020-10-01mnd99ADDDA3750641A63314458553
Verified2020-10-03fre_games9ADDDA3750641A63321673553
History
DateUserTypeResult
2022-04-30Oliver KruseNF-PM1
B1=30000000, B2=10035812696910
2022-03-07LordJuliusNF
no factor from 2^57 to 2^58
2021-08-25Oliver KruseNF-PM1
B1=30000000, B2=3000000000, E=24
2020-11-06GyuriCERT
PRP Certification
Proof certified good
2020-10-03fre_gamesC-PRP
M258421/411000250694020448155701439/1668811974756299277537204839/152240511081040601215640857 : 9ADDDA3750641A63
PRP: Verified
PRP without proof (small exponent)
2020-10-01mnd9C-PRP
M258421/152240511081040601215640857/411000250694020448155701439/1668811974756299277537204839 : 9ADDDA3750641A63
PRP proof power = 5
PRP: Verified
Proof certified good
2020-09-30nordiF-ECM
Factor: 152240511081040601215640857 / (ECM curve 2, B1=250000, B2=25000000, Sigma=224623413969443)
2020-04-17Oliver KruseC-PRP
M258421/411000250694020448155701439/1668811974756299277537204839 : 9ADDDA3750641A63
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M258421/411000250694020448155701439/1668811974756299277537204839 : F8E414EBDF34F403
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M258421/411000250694020448155701439/1668811974756299277537204839 : F8E414EBDF34F403
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M258421/411000250694020448155701439/1668811974756299277537204839 : F8E414EBDF34F403
PRP without proof (not generated)
2017-06-02TJAOIF-ECM
Factor: 1668811974756299277537204839 / (ECM curve 11, B1=250000, B2=25000000)
2009-04-20Sturle SundeF-ECM
Factor: 411000250694020448155701439
2009-01-25Sturle SundeNF
no factor from 2^59 to 2^60
2009-01-01Sturle SundeNF
no factor from 2^58 to 2^59