Question 86
$S_n = \{a \mid a \lt n, \exists k \in \mathbb{N} : 2^k \equiv a \pmod{n}\}$.
Are there different odd numbers $m$ and $r$ such that $S_m = S_r$?
Are there different odd numbers $m$ and $r$ such that $S_m = S_r$?
Math Olympiad Vault · MathNet 2024-part-01 — 168 problems (EN–VI)