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(2^a-2^b)/(2^c-2^d)

Source: ARO 2005 - problem 10.1

April 30, 2005
number theoryrepresentation

Problem Statement

Find the least positive integer, which may not be represented as 2a2b2c2d{2^a-2^b\over 2^c-2^d}, where a,b,c,da,\,b,\,c,\,d are positive integers.