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p that cannot be represented in the form |3^{a} - 2^{b}

Source: China TST 1995, problem 1

May 17, 2005
modular arithmeticnumber theory

Problem Statement

Find the smallest prime number pp that cannot be represented in the form 3a2b|3^{a} - 2^{b}|, where aa and bb are non-negative integers.