Determine-whether-there-exists-2016-distinct-prime-numbers-p-1-p-2-p-2016-and-positive-integer-n-such-that-i-1-2016-1-p-i-2-1-1-n-2-

Question Number 153899 by mathdanisur last updated on 11/Sep/21

Determine whether there exists 2016

distinct prime numbers p_{1}, p_{2}, \dots, p_{2016}

and positive integer n such that :

\underset{i = 1}{\sum^{2016}} \frac{1}{p_{i}^{2} + 1} = \frac{1}{n^{2}}