Legendre's constant [SEP] named after
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 formula_1. Its value is now known to be exactly 1.
Examination of available numerical evidence for known primes led Legendre to suspect that formula_1 satisfies an approximate formula.
Legendre conjectured in 1808 that 
where formula_4...
Or similarly,
where "B" is Legendre's constant. He guessed "B" to be about 1.08366, but
Legendre rational functions
- Legendre relation
- Legendre sieve
- Legendre symbol
- Legendre transformation
- Legendre wavelet
- Legendre–Clebsch condition
- Legendre–Fenchel transformation
- Legendre's conjecture
- Legendre's constant
- Legendre's differential equation
- Legendre's equation
- Legendre's formula
- Legendrian knot
- Legendrian submanifold
- Saccheri–Legendre theorem
- Whipple's transformation of Legendre functions