olymmath

RIOPLATENSE 2011 Problem 1

    Given a positive integer nn , an operation consists of replacing nn with either 2n−12n-1 , 3n−23n-2 or 5n−45n-4 . A number bb is said to be a follower of number aa if bb can be obtained from aa using this operation multiple times. Find all positive integers a<2011a < 2011 that have a common follower with 20112011 .

    Dataset text AI-MO AoPS. Quoted with source.

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