Legendre's conjecture, proposed by Adrien-Marie Legendre, states 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} . The conjecture is one of Landau's problems (1912) on prime numbers and is one of many open problems on the spacing of prime numbers.
Legendre's conjecture, proposed by Adrien-Marie Legendre, states 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} . The conjecture is one of Landau's problems (1912) on prime numbers and is one of many open problems on the spacing of prime numbers.
Source: Wikipedia "Legendre's conjecture" · CC BY-SA 4.0
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