MathDB
a^n \equiv -1 mod n^2

Source: Indian Postal Coaching 2009 set 2 p2

May 26, 2020
number theoryremainder

Problem Statement

Let a>2a > 2 be a natural number. Show that there are infinitely many natural numbers n such that an≡−1a^n \equiv -1 (mod n2n^2).
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