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Let $S = \{n\in\mathbb{N}\mid 133 \text{ divides } 3^n + 1\}$. Find three elements of S.
Question:
Let $S = \{n\in\mathbb{N}\mid 133 \;\text{divides} \; 3^n + 1\}$
$a)$ Find three different elements of $S$.
$b)$ Prove that $S$ is an infinite set.
My intuition is find the prime factors of ...
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