wp/Twelvefold_way | Gian-Carlo_Rota | Rota's_conjecture |
es: The evolute of a circle is therefore a single point at its center.
Legendre's_conjecture: prime in [n2 , (n + 1)2] ? almost 1
i.e. there is a prime number between n2 and (n + 1)2 for every positive integer n.
As of 2017, the conjecture has neither been proved nor disproved.
oeis.org/A014085 Number of primes between n^2 and (n+1)^2. (Online Encyclopedia of Integer Sequences)
The Bernoulli numbers are rooted in the early history of the computation of sums of integer powers, which have been of interest to mathematicians since antiquity wp/Bernoulli_number