NZ-NZMO 2021 Problem 4

Find all triples $(x,p,n)$ of non-negative integers such that $p$ is prime and

$2x(x + 5) = p^{n} + 3(x - 1).$

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

(2,5,2) \text{ and } (0,3,1)

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Locator nz-nzmo/2021/p4 · Tag GTFRG72BEW · Edit this page on GitHub · Keys: j next, k previous