Legendre's constant

Legendre's constant is a mathematical constant occurring in a formula conjectured by Adrien-Marie Legendre to capture the asymptotic behavior of the prime-counting function . Its value is now known to be 1. Examination of available numerical evidence for known primes led Legendre to suspect that satisfies an approximate formula. Legendre conjectured in 1808 that where ....OEIS: Or similarly, where B is Legendre's constant. He guessed B to be about 1.08366, but regardless of its exact value, the existence of B implies the prime number theorem. Pierre Dusart proved in 2010

Legendre's constant

Legendre's constant is a mathematical constant occurring in a formula conjectured by Adrien-Marie Legendre to capture the asymptotic behavior of the prime-counting function . Its value is now known to be 1. Examination of available numerical evidence for known primes led Legendre to suspect that satisfies an approximate formula. Legendre conjectured in 1808 that where ....OEIS: Or similarly, where B is Legendre's constant. He guessed B to be about 1.08366, but regardless of its exact value, the existence of B implies the prime number theorem. Pierre Dusart proved in 2010