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

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MnStatusDetails
312971Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
625943619.3old
1676415946417868279811192477.12019-07-19 09:12:26
ECM
DigitsB1Curves
2550000280 / 280
30250000613 / 640
Estimated T-Level: 29.8
TF below 2^94 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-22Oliver Kruse19116023655C2C651013
Verified (Factored)2017-10-12Oliver Kruse19116023655C2C6511994713
Verified (Factored)2017-12-11ATH19116023655C2C65112670113
Verified2019-07-19Niels_Mache_Nextcloud88A4A6141A1DE09D27404453
Verified2019-07-19ATH88A4A6141A1DE09D27977853
Verified (Factored)2022-05-12Jorge Coveiro88A4A6141A1DE09D130739153
Verified (Factored)2022-05-12Jorge Coveiro88A4A6141A1DE09D130739153
Verified2024-12-31kkmrkkblmbrbk88A4A6141A1DE09D211155253
History
DateUserTypeResult
2024-12-31XyzzyCERT
PRP Certification
Proof certified good
2024-12-31kkmrkkblmbrbkC-PRP
M312971/625943/167641594641786827981119 : 88A4A6141A1DE09D
PRP proof power = 5
PRP: Verified
Proof certified good
2022-05-12Jorge CoveiroC-PRP
M312971/625943 : 88A4A6141A1DE09D
PRP proof power = 5
PRP: Verified (Factored)
PRP proof never uploaded
2021-05-05George WoltmanNF-PM1
B1=20000000, B2=1440000000
2019-07-19ATHC-PRP
M312971/625943/167641594641786827981119 : 88A4A6141A1DE09D
PRP: Verified
PRP without proof (small exponent)
2019-07-19Niels_Mache_NextcloudC-PRP
M312971/625943/167641594641786827981119 : 88A4A6141A1DE09D
PRP: Verified
PRP without proof (small exponent)
2019-07-19TJAOIF-ECM
Factor: 167641594641786827981119 / (ECM curve 13, B1=250000, B2=25000000)
2017-12-11ATHC-PRP
M312971/625943 : 19116023655C2C65
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M312971/625943 : 19116023655C2C65
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M312971/625943 : 19116023655C2C65
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M312971/625943 : 19116023655C2C65
PRP without proof (not generated)