Marin Mersenne 2^P-1
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MnStatusDetails
199783Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
34854553984566993746081440070461818003195046201748157.92023-04-20 06:24:32
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000455 / 1566
Estimated T-Level: 31.5
TF below 2^99 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)Amdahl 6 - 19893A77FA7D0
Verified (Factored)Martin Eibl33CFDEC17A77FA7D0
Verified (Factored)Brian J. Beesley33CFDEC17A77FA7D0
Verified (Factored)Eivind Triel33CFDEC17A77FA7D188112
Verified (Factored)2016-06-01MadPoo33CFDEC17A77FA7D10795
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2023-04-20JacobZ2BBB87FB5B10E6A617042353
Verified2023-08-24USAFSS2BBB87FB5B10E6A6117459253
P-1 factors
DateFactorB1B2
2023-04-203485455398456699374608144007046181800319504620171333608468962925961990
History
DateUserTypeResult
2023-08-24Sudhindra.PraneshCERT
PRP Certification
Proof certified good
2023-08-24USAFSSC-PRP
M199783/348545539845669937460814400704618180031950462017 : 2BBB87FB5B10E6A6
PRP proof power = 5
PRP: Verified
Proof certified good
2023-04-20Steve JacobsonCERT
PRP Certification
Proof certified good
2023-04-20JacobZC-PRP
M199783/348545539845669937460814400704618180031950462017 : 2BBB87FB5B10E6A6
PRP proof power = 5
PRP: Verified
Proof certified good
2023-04-20JacobZF-PM1
Factor: 348545539845669937460814400704618180031950462017 / (P-1, B1=133360846, B2=8962925961990)
2023-02-25masserNF-PP1
Start=6/5, B1=30000000, B2=840000000
2023-02-11masserNF-PP1
Start=114/37, B1=30000000, B2=960000000
2023-02-09masserNF-PP1
Start=2/7, B1=30000000, B2=990000000
2023-01-24JossNF-PM1
B1=1000000, B2=74894729910
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2019-12-13Gordon SpenceNF
no factor from 2^65 to 2^66
2017-08-17ConductorNF
no factor from 2^64 to 2^65
2016-06-01MadPooC-LL
33CFDEC17A77FA7D
2016-02-23Mark RoseNF
no factor from 2^57 to 2^58
2015-12-09Gordon SpenceNF
no factor from 2^63 to 2^64
2015-12-07Gordon SpenceNF
no factor from 2^62 to 2^63
2015-08-25NRNF
no factor from 2^61 to 2^62
2013-10-21alpertronNF-PM1
B1=100000000, B2=2000000000, E=12
2013-08-06lycornNF
no factor from 2^60 to 2^61
2009-02-09axnNF-PM1
B1=5000000, B2=200000000, E=12
2009-01-30Sturle SundeNF
no factor from 2^59 to 2^60
2008-12-31Sturle SundeNF
no factor from 2^58 to 2^59