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RMM 2023 Problem 1

  • Day 1
  • Answer

Determine all prime numbers pp and all positive integers xx and yy satisfying x3+y3=x^{3}+y^{3}= p(xy+p)p(x y+p).

Dataset text NuminaMath olympiads. Quoted with source.

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(x, y, p)=(1,8,19), (x, y, p)=(2,7,13), (x, y, p)=(4,5,7)

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