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Divisibility by a prime

Source: 2018 China North Mathematical Olympiad Grade 10 Test 1 P3

July 26, 2018
number theoryChina

Problem Statement

Let pp be a prime such that 3∣p+13|p+1. Show that p∣a−bp|a-b if and only if p∣a3−b3p|a^3-b^3
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