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List of known Mersenne primes
- Mn denotes the Mersenne prime [math]\displaystyle{ 2^n{-}1 }[/math]
- Pn denotes the Perfect number [math]\displaystyle{ 2^{n-1}\cdot(2^n{-}1) }[/math]
| # | n | Digits in Mn | Digits in Pn | Value of Mn | Date of discovery |
Discoverer |
|---|---|---|---|---|---|---|
| 50* | 77,232,917 | 23,249,425 | 46,498,850 | 467333183359...069762179071 | 2017-12-26 | Jonathan Pace, George Woltman, Scott Kurowski, Aaron Blosser et. al. GIMPS & PrimeNet |
| 51* | 82,589,933 | 24,862,048 | 49,724,095 | 148894445742...325217902591 | 2018-12-07 | Patrick Laroche, George Woltman, Aaron Blosser et. al. GIMPS & PrimeNet |
*It is not known whether any undiscovered Mersenne primes exist between the 48th (M57 885 161) and the 51th (M82 589 933) on this chart; the ranking is therefore provisional.
| # | n | Digits in Mn |
Digits in Pn |
Value of Mn |
Date | Discoverer | Credits | Poject | Link1 | Link2 |
|---|---|---|---|---|---|---|---|---|---|---|
| M50 | 77,232,917 | 23,249,425 | 46,498,850 | 467333183359...069762179071 | 2017-12-26 | Jonathan Pace | Template:InfoboxMersennePrime dpl1 | |||
| M51 | 82,589,933 | 24,862,048 | 49,724,095 | 148894445742...325217902591 | 2018-12-07 | Patrick Laroche | Template:InfoboxMersennePrime dpl1 |
See also
External links
- List of known Mersenne prime numbers at Mersenne.org
- prime Mersenne Numbers - History, Theorems and Lists Explanation
- GIMPS Mersenne Prime - status page gives various statistics on search progress, some parts are updated automatically, others typically updated every week, including progress towards proving the ordering of primes 41-47ff
- Mersenne numbers - Wolfram Research/Mathematica
- prime Mersenne numbers - Wolfram Research/Mathematica
- Mq = (8x)^2 - (3qy)^2 Mersenne Proof (pdf)
- Mq = x^2 + d.y^2 Math Thesis (pdf)
- Mersenne Prime Bibliography with Hyperlinks to original publications
- dpa - reportage about prime mersenne number - detection in detail (German)
- Wikipedia
