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

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MnStatusDetails
16783933Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
1843264385582298867105447192787.32024-11-18 19:01:08
ECM
DigitsB1Curves
25500001 / 280
Estimated T-Level: 20.0 ⓘ
TF below 2^61 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)2003-05-04Michael ShaferF93A65B03E112BEC13414692
Bad2007-09-13Daniel SwansonF60B26A7CAB9E8568244609
Verified (Factored)2007-09-28Daniel SwansonF93A65B03E112BEC8337996
Verified (Factored)2007-10-17Shane SanfordF93A65B03E112BEC8460312
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified2024-11-26Stefan G HoffmannD62789B1558F14AD11663102253
P-1 factors
DateFactorB1B2
2024-11-181843264385582298867105447191200000988459290
History
DateUserTypeResult
2024-11-26George WoltmanCERT
PRP Certification
Proof certified good
2024-11-26Stefan G HoffmannC-PRP
M16783933/184326438558229886710544719 : D62789B1558F14AD
PRP proof power = 8
PRP: Verified
Proof certified good
2024-11-18Sid & AndyF-PM1
Factor: 184326438558229886710544719 / (P-1, B1=1200000, B2=988459290)
2022-02-24DRobinsonPENF-PM1
B1=597000, B2=29817000
2022-02-22Yves de WandelaarNF
no factor from 2^73 to 2^74
2021-11-26-Anonymous-NF
no factor from 2^72 to 2^73
2021-09-16-Anonymous-NF
no factor from 2^71 to 2^72
2021-09-09SRBaseNF
no factor from 2^70 to 2^71
2020-06-04lycornNF
no factor from 2^69 to 2^70
2018-03-26ramgeisNF
no factor from 2^67 to 2^69
2018-03-25ramgeisNF
no factor from 2^67 to 2^68
2014-09-16NesowaNF
no factor from 2^66 to 2^67
2014-03-16NesowaNF
no factor from 2^65 to 2^66