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Home » × 10 = 1,538.6, ×1.8: - DNSFLEX

× 10 = 1,538.6, ×1.8: - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 n - 1 \equiv 0 \pmod{7} \quad \text{and} \quad n - 1 \equiv 0 \pmod{11}

📌 So $ n - 1 $ is a common multiple of 7 and 11. Since 7 and 11 are coprime, their least common multiple is:

📌 \text{lcm}(7, 11) = 7 \cdot 11 = 77

📌 Thus, $ n - 1 = 77k $ for some integer $ k $, and:

📌 n = 77k + 1

📌 We are to find the smallest such $ n > 50 $. Try $ k = 1 $:

📌 n = 77 \cdot 1 + 1 = 78

📌 Since $ 78 > 50 $, this is valid.

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