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Home » Infinite Earths at War: The Ultimate Global Crisis Exploded Across Realities! - DNSFLEX

Infinite Earths at War: The Ultimate Global Crisis Exploded Across Realities! - DNSFLEX

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 \equiv 0 \pmod{9}

📌 Alternatively, \( 78 \equiv 78 \mod 9 \): \( 7 + 8 = 15 \Rightarrow 1 + 5 = 6 \Rightarrow 78 \equiv 6 \pmod{9} \), so \( 78^2 \equiv 6^2 = 36 \equiv 0 \pmod{9} \).

📌 Thus, the remainder is \( \boxed{0} \).

📌 Question:** What is the remainder when \( 1001 + 1003 + 1005 + 1007 + 1009 \) is divided by 11?

📌 Solution:** Compute the sum:

📌 + 1003 + 1005 + 1007 + 1009 = 5 \cdot 1005 = 5025

📌 Now compute \( 5025 \mod 11 \). Use alternating sum for modulo 11:

📌 \( 5 - 0 + 2 - 5 = 2 \), or directly:

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