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BG-MO 2017 Problem 2

    Let m>1m>1 be a natural number and N=m2017+1N=m^{2017}+1 . On a blackboard, left to right, are written the following numbers: N,N−m,N−2m,…,2m+1,m+1,1.N, N-m, N-2m,\dots, 2m+1,m+1, 1. On each move, we erase the most left number, written on the board, and all its divisors (if any). This procces continues till all numbers are deleted. Which numbers will be deleted on the last move.

    Dataset text AI-MO AoPS. Quoted with source.

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