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Quadratic Residues

Quadratic Residues - Primes

Is 5 a quadratic residue modulo 7?

No, it is a quadratic non-residue. Yes, it is a quadratic residue.

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by Brilliant Staff

Which of these is the set of non-quadratic residues modulo \(11\)?

\( B=\{ 2,6,7,8,10 \} \) \( A=\{ 0,1,3,4,5,9 \} \) \( D=\{ 2,4,6,8,10 \} \) \( C=\{ 0,1,2,3,4,5,6,7,8,9,10 \} \)

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by Brilliant Staff

Which of these is the set of quadratic residues modulo \(15\)?

\( \{0,1,4,6,9,10 \} \) \( \{ 0,1,3,8,12 \} \) \( \{ 0,1,5,6,13 \} \) \( \{ 0,1,4,7,14 \} \)

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by Brilliant Staff

Find the sum of all positive integers \(x<22 \) such that \(x^2 \equiv 17 \pmod {22} \).

14 22 0 7

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by Brilliant Staff

Is \(15\) a quadratic residue modulo \(17\)?

Yes No

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by Brilliant Staff

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