mersenneforum.org  

Go Back   mersenneforum.org > Factoring Projects > Operazione Doppi Mersennes

Reply
 
Thread Tools
Old 2012-09-19, 20:09   #1
aketilander
 
aketilander's Avatar
 
"Åke Tilander"
Apr 2011
Sandviken, Sweden

23616 Posts
Question Are there infinitely many double Mersenne primes?

If Lenstra–Pomerance–Wagstaffs conjecture that there are infinitely many Mersenne primes is true, does this imply as well that there are infinitely many double Mersenne primes?

If so is it possible to estimate the density of them?
aketilander is offline   Reply With Quote
Old 2012-09-19, 22:24   #2
CRGreathouse
 
CRGreathouse's Avatar
 
Aug 2006

2×5×593 Posts
Default

Just the opposite! The Lenstra-Pomerance-Wagstaff heuristic suggests that there are only finitely many double Mersenne primes. In particular, it says that with high probability we've discovered them all. (Does anyone want to crunch this number?)
CRGreathouse is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Houston, we have a new double Mersenne to test... ET_ Operazione Doppi Mersennes 1 2018-01-29 15:50
Simon Davis proves existence of infinitely many Mersenne primes? wildrabbitt Math 8 2016-06-28 08:15
Infinitely many primes of a form? PawnProver44 Homework Help 1 2016-03-15 22:39
Infinitely many primes of form n^3 + 7 ? devarajkandadai Math 1 2012-07-13 06:07
infinitely many Mersenne primes??? LoKI.GuZ Math 14 2003-11-26 04:27

All times are UTC. The time now is 10:41.

Mon Oct 26 10:41:30 UTC 2020 up 46 days, 7:52, 0 users, load averages: 2.14, 1.73, 1.63

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.