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Bangladesh Mathematical Olympiad 2020

Source: BdMO 2020 Final Primary Category Problem 11

August 30, 2020
prime numbersnumber theory

Problem Statement

A prime numberq q is called 'Kowai' number if q=p2+10 q = p^2 + 10 where qq, pp, p2−2p^2-2, p2−8p^2-8, p3+6p^3+6 are prime numbers. WE know that, at least one 'Kowai' number can be found. Find the summation of all 'Kowai' numbers.
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