IMC2019: Day 1, Problem 1
Problem 1. Evaluate the product
\(\displaystyle \prod_{n=3}^{\infty}\frac{(n^3+3n)^2}{n^6-64} .\)
Proposed by Orif Ibrogimov, ETH Zurich and National University of Uzbekistan and
Karen Keryan, Yerevan State University and American University of Armenia, Yerevan