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Home » Perhaps the intended modulus was smaller. - Parker Core Knowledge

Perhaps the intended modulus was smaller. - Parker Core Knowledge

📅 May 3, 2026 👤 scraface

May 03, 2026

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n^3 \equiv 888 \pmod{1000}
This means \(n^3 \equiv 888 \pmod{8}\) and \(n^3 \equiv 888 \pmod{125}...
Step 1: Solve modulo 8
\(888 \equiv 0 \pmod{8}\), so:
n^3 \equiv 0 \pmod{8} \Rightarrow n \equiv 0 \pmod{2}
In fact, since \(8 = 2^3\), for \(n^3 \equiv 0 \pmod{8}\), \(n\) must...
If \(n \equiv 0 \pmod{2}\), then \(n^3 \equiv 0 \pmod{8}\) only if \(n...
\(2^3 = 8 \equiv 0\)
\(4^3 = 64 \equiv 0\)
\(6^3 = 216 \equiv 0\)

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