List questions from quadratic-residues

Published on 12 Jan 2014 - 5:37

257

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Properties of modular arithemtic mod primes and quadratic residues

Published on 20 Jan 2014 - 18:42

2k

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Is every non-square integer a primitive root modulo some odd prime?

Published on 21 Jan 2014 - 11:21

768

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Show that $-3$ is a primitive root modulo $p=2q+1$

Published on 23 Jan 2014 - 10:58

93

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Prove $\{x \mid x^2 \equiv 1 \pmod p\}=\{1, -1\}$ for all primes $p$

Published on 27 Jan 2014 - 19:53

134

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A question about quadratic residues

Published on 04 Feb 2014 - 12:05

557

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Determining quadratic residues quickly

Published on 06 Feb 2014 - 0:19

567

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Solving quadratic modulo congruence: review.

Published on 09 Feb 2014 - 20:58

797

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Is $17$ a quadratic residue for a prime $p$?

Published on 10 Feb 2014 - 15:46

133

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Using Legendre Notation

Published on 11 Feb 2014 - 3:15

284

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$17$ is a quadratic residue for all primes $p$ such that $p \equiv \pm 3 \mod{8}$?

Published on 13 Feb 2014 - 15:53

68

Views

Theorem of Jacobi: $(2k+1)! + (-1)^{\eta} \equiv 0 \ (\operatorname{mod} p)$

Published on 19 Feb 2014 - 10:47

155

Views

For which primes $p$ does $px^2-2y^2=1$ have a solution?

Published on 24 Feb 2014 - 14:11

110

Views

Deduce that a prime $p$ is a quadratic residue mod $17$ where $kp^2 \equiv t^4 \mod{17}$

Published on 24 Feb 2014 - 14:12

178

Views

Quadratic residues - invariant under translation

Published on 27 Feb 2014 - 12:46

List Question

Manipulating square roots mod p (prime) and when is $g^{ \frac{x}{2}} = p - z_1 \pmod p$ true?

Properties of modular arithemtic mod primes and quadratic residues

Is every non-square integer a primitive root modulo some odd prime?

Show that $-3$ is a primitive root modulo $p=2q+1$

Prove $\{x \mid x^2 \equiv 1 \pmod p\}=\{1, -1\}$ for all primes $p$

A question about quadratic residues

Determining quadratic residues quickly

Solving quadratic modulo congruence: review.

Is $17$ a quadratic residue for a prime $p$?

Using Legendre Notation

$17$ is a quadratic residue for all primes $p$ such that $p \equiv \pm 3 \mod{8}$?

Theorem of Jacobi: $(2k+1)! + (-1)^{\eta} \equiv 0 \ (\operatorname{mod} p)$

For which primes $p$ does $px^2-2y^2=1$ have a solution?

Deduce that a prime $p$ is a quadratic residue mod $17$ where $kp^2 \equiv t^4 \mod{17}$

Quadratic residues - invariant under translation

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