olymmath

IMO 1978 Problem 1

  • Day 1

Let mm and nn be positive integers such that 1≤m<n1 \le m < n . In their decimal representations, the last three digits of 1978m1978^m are equal, respectively, to the last three digits of 1978n1978^n . Find mm and nn such that m+nm + n has its least value.

Dataset text AI-MO AoPS. Quoted with source.

Official text: IMO 1978 official English paper, page 1.

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