{tag=Famous conjecture}
{tag=Are there infinitely many primes with property X}


Are there infinitely many Mersenne primes?

{c}
{tag=Famous conjecture}

No-A press 120 stars <tool-assisted speedrun> attempts by Pannenkoek:
* https://en.wikipedia.org/wiki/Pannenkoek2012
* https://youtube.fandom.com/wiki/Pannenkoek2012

\Video[https://www.youtube.com/watch?v=RJaL5QOq590]
{title=Video outlining the 18 unique A presses missing for 120-stars at the time. This was superseded later. with many other discoveries.}
{description=The 23 Remaining A Presses by Pannenkoek2012 (2018)}

\Video[https://www.youtube.com/watch?v=kpk2tdsPh0A]
{title=Watch for Rolling Rocks 0.5x A Presses by Pannenkoek2012 (2016)}
{description=This is one of the most elaborate explained videos.}


Super Mario 64 A press challenge

{tag=Famous conjecture}
{tag=Prime k-tuple conjecture}
{wiki}

Let's show them how it's done with <primes (bsdgames)> + <awk>. Edit. They have a `-d` option which also shows gaps!!! Too strong:
``
sudo apt install bsdgames
primes -d 1 100 | awk '/$2$/{print $1 - 2, $1 }'
``
gives us the list of all twin primes up to 100:
``
0 2
3 5
5 7
11 13
17 19
29 31
41 43
59 61
71 73
``
Tested on <Ubuntu 22.10>.


Twin prime conjecture

This section groups conjectures that are famous, solved or unsolved.

They are usually conjectures that have a strong intuitive reasoning, but took a very long time to prove, despite great efforts.

The list: https://en.wikipedia.org/wiki/List_of_unsolved_problems_in_mathematics


Ciro Santilli @cirosantilli 37

 Tagged: Famous conjecture