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if 5^n + 3^n + 1 is prime, then n is divided by 12.

Source: 1998 Estonia National Olympiad Final Round grade 10 p4

March 14, 2020
primesdividednumber theorydivisible

Problem Statement

Prove that if for a positive integer nn is 5n+3n+15^n + 3^n + 1 is prime number, then nn is divided by 1212.
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