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

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MnStatusDetails
286519Composite, with 1 known prime factor. Cofactor is composite.
Factored
FactorDigitsBitsDate
476837051168364487409471692792995.32010-10-07 18:12:29
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000201 / 1566
Estimated T-Level: 30.6
TF below 2^97 is very unlikely to find new factors due to ECM effort.
LL
StatusDateUserResidueShift
Verified (Factored)David Slowinski5E960
Verified (Factored)Unknown5E960
Verified (Factored)Brian J. BeesleyCE62F6F57C2ADE960
Verified (Factored)Eivind TrielCE62F6F57C2ADE9657504
Verified (Factored)2002-03-03Brian J. BeesleyCE62F6F57C2ADE96152534
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-24Oliver Kruse2F873481E2D06A601013
Verified2017-10-12Oliver Kruse2F873481E2D06A60115851513
Verified2017-11-06kkmrkkblmbrbk2F873481E2D06A6011964213
Verified2020-04-17Oliver Kruse37C6251E6A20530616628553
Verified2024-08-12kkmrkkblmbrbk37C6251E6A205306119803153
History
DateUserTypeResult
2024-11-14yuriy_5-1NF-PM1
B1=26359748, B2=6442766380050
2024-08-13cacheflushCERT
PRP Certification
Proof certified good
2024-08-12kkmrkkblmbrbkC-PRP
M286519/47683705116836448740947169279 : 37C6251E6A205306
PRP proof power = 5
PRP: Verified
Proof certified good
2023-02-16USAFSSNF-PM1
B1=4000000, B2=22109179950
2022-03-07LordJuliusNF
no factor from 2^54 to 2^55
2020-04-17Oliver KruseC-PRP
M286519/47683705116836448740947169279 : 37C6251E6A205306
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M286519/47683705116836448740947169279 : 2F873481E2D06A60
PRP: Verified
PRP without proof (small exponent)
2017-10-12Oliver KruseC-PRP
M286519/47683705116836448740947169279 : 2F873481E2D06A60
PRP: Verified
PRP without proof (small exponent)
2017-09-24Oliver KruseC-PRP
M286519/47683705116836448740947169279 : 2F873481E2D06A60
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M286519/47683705116836448740947169279 : 2F873481E2D06A60
PRP without proof (not generated)
2010-10-07Sturle SundeF-ECM
Factor: 47683705116836448740947169279
2009-01-25Sturle SundeNF
no factor from 2^59 to 2^60
2009-01-03Sturle SundeNF
no factor from 2^58 to 2^59