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

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MnStatusDetails
319147Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
21063703824.3old
502975673928.92008-07-21 09:16:40
240795754057191444.52008-07-21 09:16:40
543014717848692199132065.62014-09-26 12:16:03
ECM
DigitsB1Curves
2550000280 / 280
30250000513 / 640
Estimated T-Level: 29.0
TF below 2^91 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-22Oliver Kruse3ABD433D0C4133054013
Verified2017-10-13Oliver Kruse3ABD433D0C413305425939713
Verified2017-12-11ATH3ABD433D0C413305424114313
Verified2020-04-18Oliver Kruse056DEE6CE5C59C33426324253
Verified2024-09-01kkmrkkblmbrbk056DEE6CE5C59C3349545253
History
DateUserTypeResult
2024-09-01GufesaCERT
PRP Certification
Proof certified good
2024-09-01kkmrkkblmbrbkC-PRP
M319147/21063703/502975673/24079575405719/54301471784869219913 : 056DEE6CE5C59C33
PRP proof power = 5
PRP: Verified
Proof certified good
2021-05-30George WoltmanNF-PP1
Start=2/7, B1=7500000, B2=592500000
2021-05-30George WoltmanNF-PM1
B1=15000000, B2=1305000000
2020-04-18Oliver KruseC-PRP
M319147/21063703/502975673/24079575405719/54301471784869219913 : 056DEE6CE5C59C33
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M319147/21063703/502975673/24079575405719/54301471784869219913 : 3ABD433D0C413305
PRP: Verified
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M319147/21063703/24079575405719/502975673/54301471784869219913 : 3ABD433D0C413305
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M319147/known_factors : 3ABD433D0C413305
PRP without proof (not generated)
2014-09-26TJAOIF-ECM
Factor: 54301471784869219913 / (ECM curve 24, B1=50000, B2=5000000)
2008-07-21J FeitsmaF
Factor: 502975673
2008-07-21J FeitsmaF
Factor: 24079575405719