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Problem 4

Source: 21-st Iberoamerican Mathematical Olympiad

May 6, 2007
number theory unsolvednumber theory

Problem Statement

Find all pairs (a, b)(a,\, b) of positive integers such that 2a−12a-1 and 2b+12b+1 are coprime and a+ba+b divides 4ab+1.4ab+1.
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