Split and Conquer

Round 19

Statement

Find the number of positive integer triplets of $(a, m,n) $ satisfying
  • $a,m,n \leq 2018$
  • $a \geq 2$ and $m\geq 2$ such that $a^n + 203$ is a multiple of $a^m + 1$ and a is not equal to $203$
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