Legendre's conjecture

== English == === Etymology === Proposed by Adrien-Marie Legendre. === Proper noun === Legendre's conjecture (number theory) A conjecture stating that there is a prime number between n 2 {\displaystyle n^{2}} and ( n + 1 ) 2 {\displaystyle (n+1)^{2}} for every positive integer n {\displaystyle n} .