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Problem 775

AIME late

Number theory Difficulty 5.4 Prove it

30-5 (N32, Sweden) Prove: for any positive integer $n$ , there exist $n$ consecutive positive integers, none of which are prime powers.

This one wants a proof. Work it on paper, read the official solution, then mark yourself honestly — the ladder only means something if the record is true.

Official solution

None

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None

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.