====== The Flint Hills Series ======

The //Flint Hills Series//, devised in 2002, by American mathematican Clifford A. Pickover, is a type of 'numerical series' -  i.e. the operation of adding infinitely many quantities, one after the other, to a given starting quantity - a.k.a. an infinite summation.

It's expressed as :

$${\displaystyle \sum _{n=1}^{\infty }{\frac {\csc ^{2}n}{n^{3}}}}$$

Many numerical series 'converge' i.e. rise towards a finite number rather than continuing on to infinity. In this case it has not been proved or disproved that convergence occurs.

>It is not known if this series converges, since csc<sup>2</sup>//n// can have sporadic large values."\\ \\ Source : [[https://mathworld.wolfram.com/FlintHillsSeries.html|Wolfram Mathworld]]

//Note :// It has been shown that this question is closely related to the 'irrationality' measure of //π//, denoted //μ//(//π//). Ref. [[https://arxiv.org/abs/1104.5100|Alekseyev, 2011, arXiv.]]