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diophantine 2x(x + 5) = p^n + 3(x - 1)

Source: New Zealand MO 2021 Round 1 p4

September 20, 2021
Diophantine equationdiophantinenumber theory

Problem Statement

Find all triples (x,p,n)(x, p, n) of non-negative integers such that pp is prime and 2x(x+5)=pn+3(xāˆ’1)2x(x + 5) = p^n + 3(x - 1).
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