A prime number$ q $is called 'Kowai' number if $ q = p^2 + 10$ where $q$, $p$, $p^2-2$, $p^2-8$, $p^3+6$ are prime numbers. WE know that, at least one 'Kowai' number can be found. Find the summation of all 'Kowai' numbers.
Source: BdMO 2020 Final Primary Category Problem 11
Tags: prime numbers, number theory
A prime number$ q $is called 'Kowai' number if $ q = p^2 + 10$ where $q$, $p$, $p^2-2$, $p^2-8$, $p^3+6$ are prime numbers. WE know that, at least one 'Kowai' number can be found. Find the summation of all 'Kowai' numbers.