olymmath

TUYMAADA 2015 Problem 5

    There is some natural number n>1n>1 on the board. Operation is adding to number on the board it maximal non-trivial divisor. Prove, that after some some operations we get number, that is divisible by 320003^{2000}

    A. Golovanov

    Dataset text AI-MO AoPS. Quoted with source.

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