Marin Mersenne 2^P-1
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MnStatusDetails
257263Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
1624581146578232713192167.12009-04-14 04:41:27
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000208 / 1566
Estimated T-Level: 30.7
TF below 2^97 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski4FB00
Verified (Factored)Unknown4FB00
Verified (Factored)Brian J. Beesley5E83CEFA1739CFB00
Verified (Factored)Eivind Triel5E83CEFA1739CFB0109408
Verified (Factored)2001-10-13Brian J. Beesley5E83CEFA1739CFB088893
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver Kruse305DB5262BB470C31013
Verified2017-10-12Oliver Kruse305DB5262BB470C3122279513
Verified2017-11-06kkmrkkblmbrbk305DB5262BB470C3116820413
Verified2020-04-17Oliver Kruse5178A08EBB74D37A112486353
Verified2024-07-25kkmrkkblmbrbk5178A08EBB74D37A17818453
History
DateUserTypeResult
2024-07-25Jacques MOLNECERT
PRP Certification
Proof certified good
2024-07-25kkmrkkblmbrbkC-PRP
M257263/162458114657823271319 : 5178A08EBB74D37A
PRP proof power = 5
PRP: Verified
Proof certified good
2022-04-28Oliver KruseNF-PM1
B1=30000000, B2=10035812696910
2022-03-07LordJuliusNF
no factor from 2^57 to 2^58
2021-09-09Oliver KruseNF-PM1
B1=30000000, B2=3000000000, E=24
2020-04-17Oliver KruseC-PRP
M257263/162458114657823271319 : 5178A08EBB74D37A
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M257263/162458114657823271319 : 305DB5262BB470C3
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M257263/162458114657823271319 : 305DB5262BB470C3
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M257263/162458114657823271319 : 305DB5262BB470C3
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M257263/162458114657823271319 : 305DB5262BB470C3
PRP without proof (not generated)
2009-04-14Sturle SundeF-ECM
Factor: 162458114657823271319
2009-01-23Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-31Sturle SundeNF
no factor from 2^58 to 2^59