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football games on christmas day - Anadea

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 Since \( 20 \equiv 6 \equiv -1 \pmod{7} \), we have:

📌 b \equiv 4 \pmod{7} \Rightarrow b \equiv -4 \equiv 3 \pmod{7}

📌 So \( b = 7c + 3 \), then:

📌 N = 20(7c + 3) + 7 = 140c + 60 + 7 = 140c + 67

📌 Smallest positive \( N \) when \( c = 0 \): \( N = 67 \)

📌 Check all conditions:

📌 \( 67 \div 4 = 16 \times 4 = 64 \), remainder 3 → ✓

📌 \( 67 \div 5 = 13 \times 5 = 65 \), remainder 2 → ✓

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