Marin Mersenne 2^P-1
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MnStatusDetails
583267Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
276468559928.0old
10510378017291339.92008-07-21 09:22:05
1510007244410091547.12014-02-26 11:37:44
1170315761844079211856.72014-10-25 13:16:14
ECM
DigitsB1Curves
2550000280 / 280
30250000210 / 640
Estimated T-Level: 26.6
TF below 2^83 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-28Oliver Kruse0F5D8B5FC0B71B2A4013
Verified2017-10-13Oliver Kruse0F5D8B5FC0B71B2A433196613
Verified2017-12-16ATH0F5D8B5FC0B71B2A42226913
Verified2020-04-19Oliver Kruse064CBCA35CFF93AD441839053
Verified2025-01-19kkmrkkblmbrbk064CBCA35CFF93AD436096353
P-1 factors
DateFactorB1B2
2014-10-25117031576184407921150000050000000
History
DateUserTypeResult
2025-01-19jarek.machajCERT
PRP Certification
Proof certified good
2025-01-19kkmrkkblmbrbkC-PRP
M583267/276468559/1051037801729/151000724441009/117031576184407921 : 064CBCA35CFF93AD
PRP proof power = 6
PRP: Verified
Proof certified good
2022-12-26USAFSSNF-PM1
B1=1750000, B2=5399784390
2020-04-19Oliver KruseC-PRP
M583267/276468559/1051037801729/151000724441009/117031576184407921 : 064CBCA35CFF93AD
PRP: Verified
PRP without proof (small exponent)
2017-12-16ATHC-PRP
M583267/276468559/1051037801729/151000724441009/117031576184407921 : 0F5D8B5FC0B71B2A
PRP: Verified
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M583267/276468559/1051037801729/151000724441009/117031576184407921 : 0F5D8B5FC0B71B2A
PRP: Verified
PRP without proof (small exponent)
2017-09-28Oliver KruseC-PRP
M583267/276468559/1051037801729/151000724441009/117031576184407921 : 0F5D8B5FC0B71B2A
PRP: Verified
PRP without proof (not generated)
2017-09-27Oliver KruseC-PRP
M583267/276468559/1051037801729/151000724441009/117031576184407921 : 0F5D8B5FC0B71B2A
PRP without proof (not generated)
2014-10-25alpertronF-PM1
Factor: 117031576184407921 / (P-1, B1=1500000, B2=50000000, E=12)
2014-02-26TJAOIF
Factor: 151000724441009
2008-07-21J FeitsmaF
Factor: 1051037801729