Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states:
Every even integer greater than 2 can be expressed as the sum of two primes.
The conjecture has been shown to hold for all integers less than 4 × 1018, but remains unproven.
Further reading courtesy Mathematics and Statistics dept. University Tennessee at Martin, US
Goldbach's original letter to Euler in 1742.
Note that Goldbach's weak conjecture (a.k.a Goldbach's odd conjecture)
Every odd number greater than 7 can be expressed as the sum of three odd primes
is generally accepted to have been finally proved in 2013, by Harald Helfgott
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.)
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.