olymmath

JBMO-SL 2013 N3

  • Answer

Find all ordered pairs (a,b)(a, b) of positive integers for which the numbers a3b−1a+1\frac{a^{3} b-1}{a+1} and b3a+1b−1\frac{b^{3} a+1}{b-1} are positive integers.

Dataset text NuminaMath olympiads. Quoted with source.

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(a, b)=(1,3),(2,2),(3,3)

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