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Home » You Won’t Believe How Tweedledum Fooled the Internet With This One Trick! - ECD Germany

You Won’t Believe How Tweedledum Fooled the Internet With This One Trick! - ECD Germany

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 + 0 + 2 + 5 = 9 \Rightarrow 2025 \equiv 0 \mod 9.

📌 Alternatively, note that \( 45 \equiv 0 \mod 9 \), so \( 45^2 \equiv 0 \mod 9 \).

📌 Thus, the remainder is:

📌 An epidemiologist analyzing cumulative case data finds a pattern where the number of cases each day follows a cubic growth model. Find the smallest positive integer \( n \) such that \( n^3 \) ends in the digits 001.

📌 We seek the smallest positive integer \( n \) such that:

📌 n^3 \equiv 1 \pmod{1000}.

📌 We solve \( n^3 \equiv 1 \pmod{8} \) and \( n^3 \equiv 1 \pmod{125} \), then use the Chinese Remainder Theorem.

📌 Step 1: Solve \( n^3 \equiv 1 \pmod{8} \)

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