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Home » Cade Skywalker: The Mysterious Figure You Didn’t Know You Needed! - AMAZONAWS

Cade Skywalker: The Mysterious Figure You Didn’t Know You Needed! - AMAZONAWS

Cade Skywalker: The Mysterious Figure You Didn’t Know You Needed

📅 March 6, 2026 👤 scraface
Mar 06, 2026
Cade Skywalker: The Mysterious Figure You Didn’t Know You Needed!

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📌 So we are looking for the smallest three-digit number $x$ such that $x \equiv 1 \pmod{7}$ and $x \equiv 0 \pmod{60}$.
📌 Thus, the smallest such number is $\boxed{120}$.
📌 But earlier logic: in any four consecutive odd integers, one is divisible by 3 — yes, because the step is 2, and modulo 3, the odd residues are 1 and 2, and over four terms: positions mod 3 cycle every 3 steps, but span 8 steps total? The sequence of odd integers mod 3: starts at $n \mod 3$, then $n+2$, $n+4 \equiv n+1$, $n+6 \equiv n$, so cycle: $n, n+2 \equiv n+2, n+1, n$. So values: $a, a+2, a+1, a \mod 3$. So set: $a, a+1, a+2$ — all residues mod 3. So one is divisible by 3.
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