For the holidays, here's one of my favourite #maths facts: Legendre's Constant! Legendre gave his name to a number!
This number is 1.
For the holidays, here's one of my favourite #maths facts: Legendre's Constant! Legendre gave his name to a number!
This number is 1.
Long story short: Legendre looked at the repartition of prime numbers, made a conjecture about the asymptotics of the prime-counting function and computed (by hand) an approximation of the leading constant of the asymptotic equivalent.
Appeared to be something close to one, so he gave that fundamental constant his name.
Turns out, it's a bit more than "close" to one.