====== Oppermann's conjecture ======

//Oppermann's Conjecture// concerns the distribution of [[content:mathematics: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 //x//(//x// − 1) and //x//<sup>2</sup>, and at least another prime between //x//<sup>2</sup> and //x//(//x// + 1).

Put non-mathematically //"Is every pair of a square number and a pronic number (both greater than one) separated by at least one prime?"//

See : [[https://en.wikipedia.org/wiki/Oppermann%27s_conjecture|Wikipedia]]

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Also see : [[content:mathematics:legendre_conjecture]]