olymmath

INMO 2013 Problem 2

  • Answer

Find all positive integers m,nm, n, and primes p≥5p \geq 5 such that

m(4m2+m+12)=3(pn−1)m\left(4 m^{2}+m+12\right)=3\left(p^{n}-1\right)

Dataset text NuminaMath olympiads. Quoted with source.

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(12,4,7)

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