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

# Legendre's Conjecture

*Legendre's Conjecture *concerns the distribution of Prime Numbersplugin-autotooltip__plain plugin-autotooltip_bigPrime Numbers

Since all other whole numbers (except 0) can be produced by multiplying together primes â€“ 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. (

It asks : "Is there is a prime number between *n*^{2} and (*n* + 1)^{2} for every positive integer *n*. *squares?"*

It was first presented by French mathematician Adrien-Marie Legendre in the early 1800s - and to date has neither been proved or disproved.

Technical discussion here On Legendreâ€™s Conjecture *Notes on Number Theory and Discrete Mathematics,* Vol. 23, 2017, No. 2, 117â€“125

Also see : Oppermann's conjectureplugin-autotooltip__plain plugin-autotooltip_bigOppermann's conjecture

Oppermann's Conjecture concerns the distribution of Prime Numbers.

It was first suggested in 1877, and has not been proved or disproved since then.

The conjecture states that : for every integer x > 1, there is at least one prime number between

**Show another (random) article**

Suggestions for corrections and ideas for articles are welcomed :

**Get in touch!**

Further resources :