Legendre's Conjecture Explorer

Verify that there's always a prime between n² and (n+1)²

About Legendre's Conjecture

The Conjecture

For every positive integer n, there exists at least one prime number between n² and (n+1)².

Example: Between 4²=16 and 5²=25, we have primes: 17, 19, 23

Status

Verified up to very large values, but not proven for all n. Finding a counterexample would disprove the conjecture.

The Challenge

Search for gaps where no prime exists between consecutive perfect squares.

Verify Legendre's Conjecture