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

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MnStatusDetails
10356319Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
215834463254144096969692374.22024-03-21 04:08:05
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
Bad2000-08-24moulene olivierBA2730292CACDDEE2479507
Verified (Factored)2003-11-28Bruce HartleyDFA9864BAE548A8810350826
Verified (Factored)2004-06-04Daniel SwansonDFA9864BAE548A887916984
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2024-03-26_T0ADLES_479C2A2B0C96622F1744129853
P-1 factors
DateFactorB1B2
2024-03-212158344632541440969696920000002585571450
History
DateUserTypeResult
2024-03-26ondrejchCERT
PRP Certification
Proof certified good
2024-03-26_T0ADLES_C-PRP
M10356319/21583446325414409696969 : 479C2A2B0C96622F
PRP proof power = 8
PRP: Verified
Proof certified good
2024-03-21Sid & AndyF-PM1
Factor: 21583446325414409696969 / (P-1, B1=2000000, B2=2585571450)
2021-04-17-Anonymous-NF
no factor from 2^71 to 2^72
2021-04-17-Anonymous-NF
no factor from 2^70 to 2^71
2020-08-04ViliamFNF
no factor from 2^69 to 2^70
2017-11-20ramgeisNF
no factor from 2^68 to 2^69
2017-09-25-Anonymous-NF
no factor from 2^67 to 2^68
2015-12-11VictordeHollanderNF
no factor from 2^66 to 2^67
2015-04-30ThaNF
no factor from 2^65 to 2^66
2013-09-25NesowaNF
no factor from 2^64 to 2^65
2013-07-02NesowaNF-PM1
B1=130000, B2=2535000, E=6