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

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MnStatusDetails
319117Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
24891127824.6old
34729290469578231651.62014-03-18 06:04:34
16338634818468934318812270.52014-09-26 12:16:03
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000176 / 1566
Estimated T-Level: 30.6
TF below 2^97 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified2017-09-24Oliver Kruse82305CE958F68E253013
Verified2017-10-13Oliver Kruse82305CE958F68E2532438913
Verified2017-12-11ATH82305CE958F68E25311921813
Verified2020-04-18Oliver KruseB3EA41313BFA251E319916653
Verified2024-09-01kkmrkkblmbrbkB3EA41313BFA251E314887253
History
DateUserTypeResult
2024-09-01Oliver KruseCERT
PRP Certification
Proof certified good
2024-09-01kkmrkkblmbrbkC-PRP
M319117/24891127/3472929046957823/1633863481846893431881 : B3EA41313BFA251E
PRP proof power = 5
PRP: Verified
Proof certified good
2021-05-30George WoltmanNF-PP1
Start=2/7, B1=7500000, B2=592500000
2021-05-30George WoltmanNF-PM1
B1=15000000, B2=1305000000
2020-04-18Oliver KruseC-PRP
M319117/24891127/3472929046957823/1633863481846893431881 : B3EA41313BFA251E
PRP: Verified
PRP without proof (small exponent)
2017-12-11ATHC-PRP
M319117/24891127/3472929046957823/1633863481846893431881 : 82305CE958F68E25
PRP: Verified
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M319117/24891127/3472929046957823/1633863481846893431881 : 82305CE958F68E25
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M319117/24891127/3472929046957823/1633863481846893431881 : 82305CE958F68E25
PRP without proof (not generated)
2014-09-26TJAOIF-ECM
Factor: 1633863481846893431881 / (ECM curve 21, B1=50000, B2=5000000)
2014-03-18Richard B. WoodsF-ECM
Factor: 3472929046957823