Marin Mersenne 2^P-1
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MnStatusDetails
4457311Composite, with 2 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
42741389483436365531961.92010-01-08 09:16:34
1350267678398772565212166.92020-11-11 13:32:52
ECM
DigitsB1Curves
25500002 / 280
Estimated T-Level: 20.0 ⓘ
TF below 2^62 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)1998-03-23Steven L. Zook723F56B917DAA38C0
Verified (Factored)1999-12-08Eugene Sung723F56B917DAA38C4204285
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2017-09-20kkmrkkblmbrbkF512FD1DBF7F4B7A1013
Verified (Factored)2018-02-14Oliver KruseF512FD1DBF7F4B7A1117899713
Verified2020-11-11mrh421AD471E68305132210368353
History
DateUserTypeResult
2023-03-15USAFSSNF-PM1
B1=224000, B2=127224240
2022-06-21LordJuliusNF
no factor from 2^65 to 2^66
2022-06-21LordJuliusNF
no factor from 2^64 to 2^65
2022-06-21LordJuliusNF
no factor from 2^63 to 2^64
2020-11-11curtiscCERT
PRP Certification
Proof certified good
2020-11-11mrhC-PRP
M4457311/4274138948343636553/135026767839877256521 : 421AD471E6830513
PRP proof power = 7
PRP: Verified
Proof certified good
2020-11-11TJAOIF
Factor: 135026767839877256521 / TF: 66-67
2018-02-14Oliver KruseC-PRP
M4457311/4274138948343636553 : F512FD1DBF7F4B7A
PRP: Verified (Factored)
PRP without proof (not generated)
2017-09-20kkmrkkblmbrbkC-PRP
M4457311/4274138948343636553 : F512FD1DBF7F4B7A
PRP: Verified (Factored)
PRP without proof (not generated)
2010-01-08Martti JärviF-ECM
Factor: 4274138948343636553
2009-07-21Carsten KossendeyNF-PM1
B1=25000, B2=362500