Legendre's constant is a mathematical constant occurring in a formula constructed by Adrien-Marie Legendre to approximate the behavior of the prime-counting function
π
(
x
)
{\displaystyle \pi (x)}
. The value that corresponds precisely to its asymptotic behavior is now known to be 1.
Examination of available numerical data for known values of
π
(
x
)
{\displaystyle \pi...