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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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Is $15$ a quadratic residue modulo $17$ ?

No Yes

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