mersenneforum.org

mersenneforum.org (https://www.mersenneforum.org/index.php)
-   Miscellaneous Math (https://www.mersenneforum.org/forumdisplay.php?f=56)
-   -   Factoring Double mersennes (https://www.mersenneforum.org/showthread.php?t=4776)

Citrix 2005-10-02 06:19

Factoring Double mersennes
 
MMn= 2^(Mn)-1

Based on [url]http://www.primepuzzles.net/conjectures/conj_015.htm[/url]
if MMn is prime then 2^(Mn)+1/3 will also be. So can we try factoring 2^(Mn)+1/3? Has any work been done on this?

Citrix

jinydu 2005-10-02 18:07

[QUOTE=Citrix]MMn= 2^(Mn)-1

Based on [url]http://www.primepuzzles.net/conjectures/conj_015.htm[/url]
if MMn is prime then 2^(Mn)+1/3 will also be. So can we try factoring 2^(Mn)+1/3? Has any work been done on this?

Citrix[/QUOTE]

Well, it's a conjecture. It hasn't been proven yet...

geoff 2005-10-04 08:08

My logic might be letting me down here, but since p=M(n) automatically satisfies the first condition of the NMC when M(n) is a Mersenne prime, finding a factor of (2^M(n)+1)/3, as Citrix suggests, would prove that either the double Mersenne MM(n) is composite or the NMC is false. If we didn't already know that MM(n) was composite wouldn't that be progress?


All times are UTC. The time now is 13:30.

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2022, Jelsoft Enterprises Ltd.