olymmath

APMO 2001 Problem 2

  • Paper

Find the largest positive integer NN so that the number of integers in the set {1,2,…,N}\{1,2,\dots,N\} which are divisible by 3 is equal to the number of integers which are divisible by 5 or 7 (or both).

Dataset text AI-MO AoPS. Quoted with source.

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