User Tools

    To create and edit articles, please register and log-in

Main Menu

Main menu
Click categories to expand


A-Z listingplugin-autotooltip__plain plugin-autotooltip_bigA-Z listing

This is an alphabetical index of all content pages.


Other categories

Utilities

Contact
Register

Also see

Importance Ratings
News
Legal
Donate/Sponsor
Curator's rationale


Wikenigma supports:


Feeds etc
rss / xml feed
sitemap file
A-Z listing (archived)


Auto-Translate Site
Indexed under : Mathematics

Wikenigma - an Encyclopedia of Unknowns Wikenigma - an Encyclopedia of the Unknown

Mersenne primes

Mersenne Primes are a specific case of Prime Numbersplugin-autotooltip__plain plugin-autotooltip_bigPrime Numbers

Since all other whole numbers (except 0) can be produced by multiplying together primes – they must be considered fundamental.

(1), 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31 &etc

There are an infinite number of primes - as proved by Euclid around 300B.C. (…
first described by the French mathematician Martin Mersenne in the early 17th century.

They take the form of Mn = 2n − 1

i.e. a prime number that is one less than a power of two. For example, 31, which is 25 − 1.

It's not currently known if there are an infinite number of Mersenne Primes. To date, only 51 have been discovered. The search is significantly driven by a distributed computing project known as the Great Internet Mersenne Prime Search.

It's also not known whether infinitely many Mersenne numbers with prime exponents are composite, i.e. they can be formed by multiplying two smaller positive integers.

There are no theorems for predicting the next Mersenne Primes, though there are conjectures about their distribution. See : PrimePages , University of Tennessee at Martin.


    Share this page :

Dear reader : Do you have any suggestions for the site's content?

Ideas for new topics, and suggested additions / corrections for old ones, are always welcome.

If you have skills or interests in a particular field, and have suggestions for Wikenigma, get in touch !


Or, if you'd like to become a regular contributor . . . request a login password. Registered users can edit the entire content of the site, and also create new pages.

( The 'Notes for contributors' section in the main menu has further information and guidelines etc.)

Automatic Translation

You are currently viewing an auto-translated version of Wikenigma

Please be aware that no automatic translation engines are 100% accurate, and so the auto-translated content will very probably feature errors and omissions.

Nevertheless, Wikenigma hopes that the translated content will help to attract a wider global audience.

Show another (random) article

DOKUWIKI IMPLEMENTATION DESIGN BY UNIV.ORG.UK MAY 2022