The paper is only 7 pages, and uses techniques similar to the proof in Hardy & Wright that pi is irrational. It's more complicated of course. There's quite a bit of stuff to check, some quintuple integrals, etc. The author claims he has proof of irrationality of zeta(odd) at the end of the paper. Rich --------- arXiv:1105.0730 (*cross-listing*) Date: Wed, 4 May 2011 03:36:22 GMT (145kb) Title: $\zeta(5)$ is irrational Authors: Yong-Cheol Kim Categories: math.CA math.NT MSC-class: 11J81, 11M06 \\ We present an elementary proof of the irrationality of $\zeta(5)$ based upon the Dirichlet's approximation theorem and the Prime Number Theorem. \\ ( http://arxiv.org/abs/1105.0730 , 145kb)