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📅 April 30, 2026 👤 scraface

Apr 30, 2026

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🔥 Popular Posts

If \( n \equiv 2 \pmod{3} \), then \( n^2 \equiv 4 \equiv 1 \pmod{3} \...
Thus, \( n^2 \equiv 1 \pmod{3} \) when \( n \equiv 1 \) or \( 2 \pmod{...
Step 2: Check modulo 5
Similarly, test residues modulo 5:
\( n \equiv 0 \pmod{5} \Rightarrow n^2 \equiv 0 \pmod{5} \),
\( n \equiv 1 \pmod{5} \Rightarrow n^2 \equiv 1 \pmod{5} \),
\( n \equiv 2 \pmod{5} \Rightarrow n^2 \equiv 4 \pmod{5} \),
\( n \equiv 3 \pmod{5} \Rightarrow n^2 \equiv 9 \equiv 4 \pmod{5} \),
\( n \equiv 4 \pmod{5} \Rightarrow n^2 \equiv 16 \equiv 1 \pmod{5} \).
So, \( n^2 \equiv 1 \pmod{5} \) when \( n \equiv 1 \) or \( 4 \pmod{5}...

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