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

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Exponent Range:










MnStatusDetails
208309Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
34995913825.1old
444531407928.72008-07-21 09:13:54
900657264838882311756.32014-08-04 11:21:48
43905814515208100386052823372891.82024-02-02 14:53:47
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000202 / 1566
Estimated T-Level: 30.6
TF below 2^97 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-22Oliver KruseE17BC10BC3B8299F3013
Verified (Factored)2017-10-12kkmrkkblmbrbkE17BC10BC3B8299F319984113
Verified (Factored)2020-04-17Oliver Kruse5DD8C48AEBD33653316623453
Verified (Factored)2023-08-03USAFSS5DD8C48AEBD3365333045953
Verified2024-02-02Anton Tsvetkov5DD8C48AEBD33653410840653
History
DateUserTypeResult
2024-02-02David BarinaCERT
PRP Certification
Proof certified good
2024-02-02Anton TsvetkovC-PRP
M208309/34995913/444531407/90065726483888231/4390581451520810038605282337 : 5DD8C48AEBD33653
PRP proof power = 5
PRP: Verified
Proof certified good
2024-02-02debrouxlF-ECM
Factor: 4390581451520810038605282337 / (ECM curve 15, B1=866596, B2=127389612, Sigma=7524355876639955)
2023-08-03Lukas HainCERT
PRP Certification
Proof certified good
2023-08-03USAFSSC-PRP
M208309/34995913/444531407/90065726483888231 : 5DD8C48AEBD33653
PRP proof power = 5
PRP: Verified (Factored)
Proof certified good
2022-02-14Oliver KruseNF-PM1
B1=30000000, B2=10070832992220
2021-05-12Oliver KruseNF-PM1
B1=30000000, B2=3000000000
2020-04-17Oliver KruseC-PRP
M208309/34995913/444531407/90065726483888231 : 5DD8C48AEBD33653
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-12kkmrkkblmbrbkC-PRP
M208309/34995913/444531407/90065726483888231 : E17BC10BC3B8299F
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M208309/34995913/444531407/90065726483888231 : E17BC10BC3B8299F
PRP: Verified (Factored)
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M208309/34995913/444531407/90065726483888231 : E17BC10BC3B8299F
PRP without proof (not generated)
2014-08-04TJAOIF-ECM
Factor: 90065726483888231
2008-07-21J FeitsmaF
Factor: 444531407