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📅 May 11, 2026 👤 scraface

May 11, 2026

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📌 But consider modulo $9$: the multiple of 3 in the four may be $3 \mod 9$ or $6 \mod 9$, but not $0$ or $9$. Only when $3k$ where $k$ divisible by 3. So not guaranteed.

📌 Now consider **product modulo small numbers**. Try small cases:

📌 $1 \cdot 3 \cdot 5 \cdot 7 = 105$

📌 $3 \cdot 5 \cdot 7 \cdot 9 = 945$

📌 $5 \cdot 7 \cdot 9 \cdot 11 = 3465$

📌 $7 \cdot 9 \cdot 11 \cdot 13 = 9009$

📌 $9 \cdot 11 \cdot 13 \cdot 15 = 19305$

📌 Now compute GCD of these values:

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