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Quadratic Residues

Concept Quizzes

Quadratic Residues - Primes

Quadratic Residues - Primes

Is 5 a quadratic residue modulo 7?

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

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by Brilliant Staff

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

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

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

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

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

7 22 14 0

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by Brilliant Staff

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

No Yes

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