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Regional Olympiad - FBH 2015 Grade 11 Problem 2

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2015

September 23, 2018
number theoryprime

Problem Statement

Find all triplets (p,a,b)(p,a,b) of positive integers such that p=ba−8ba+8bp=b\sqrt{\frac{a-8b}{a+8b}} is prime
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