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Home » Question:** How many of the 150 smallest positive integers are congruent to 3 (mod 7)? - Londonproperty

Question:** How many of the 150 smallest positive integers are congruent to 3 (mod 7)? - Londonproperty

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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\( 2^3 = 0 \)
\( 4^3 = 64 \equiv 0 \)
\( 6^3 = 216 \equiv 0 \)
So only \( n \equiv 1 \pmod{8} \) gives \( n^3 \equiv 1 \). So we requ...
n \equiv 1 \pmod{8}
Mod 125:** Solve \( n^3 \equiv 1 \pmod{125} \)
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