olymmath

IMO 1984 Problem 2

  • Day 1

Find one pair of positive integers a,ba,b such that ab(a+b)ab(a+b) is not divisible by 77 , but (a+b)7−a7−b7(a+b)^7-a^7-b^7 is divisible by 777^7 .

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 1984 official English paper, page 1.

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