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Easy factorization in JBMO TST

Source: Turkey JBMO TST 2023 Day 1 P1

April 30, 2023
number theory

Problem Statement

Let n,kn,k are integers and pp is a prime number. Find all (n,k,p)(n,k,p) such that ∣6n2−17n−39∣=pk|6n^2-17n-39|=p^k
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