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A set b

Source: Cono Sur 1993-problem 3

May 30, 2006
ceiling functionnumber theory unsolvednumber theory

Problem Statement

Find the number of elements that a set BB can have, contained in (1,2,...,n)(1, 2, ... , n), according to the following property: For any elements aa and bb on BB (a≠ba \ne b), (a−b)∤(a+b)(a-b) \not| (a+b).
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