List questions from quadratic-residues

Published on 24 Feb 2016 - 22:04

36

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What can be said about the smallest $N$ where $N^2 \not\equiv 1$ mod $p_x$; for all $x : 1 \leq x \leq y$

Published on 01 Mar 2016 - 21:03

69

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Quadratic Residues with $p \equiv {3 \bmod 4}$

Published on 04 Mar 2016 - 23:25

131

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Quadratic Character of -3

Published on 08 Mar 2016 - 0:10

389

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Showing the Existence of a Quadratic Residue

Published on 08 Mar 2016 - 17:51

2.1k

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Can every element of a finite field be written as a sum of two non-squares?

Published on 09 Mar 2016 - 18:38

53

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Some combinations of quadratic residues

Published on 13 Mar 2016 - 22:26

65

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Representations of some primes as $x^2-2y^2$?

Published on 26 Mar 2026 - 18:41

3.4k

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For what odd prime p is -3 a quadratic residues? Non-residue?

Published on 17 Mar 2016 - 0:43

2.4k

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Elementary proof for: If x is a quadratic residue mod p, then it is a quadratic residue mod p^k

Published on 21 Mar 2016 - 22:48

24

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Finding a prime in range with the largest minimal non quadratic residue

Published on 25 Mar 2026 - 22:26

148

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Determine the quadratic character of $293 \bmod 379$.

Published on 25 Mar 2026 - 22:26

814

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2016 Spain Math Olympiad final stage, problem 2

Published on 02 Apr 2016 - 16:32

34

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Doubt regarding quadratic sieve

Published on 03 Apr 2016 - 10:45

1.1k

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Euler Criterion proof

Published on 09 Apr 2016 - 13:57

List Question

When is 2 a quadratic residue in a finite field?

What can be said about the smallest $N$ where $N^2 \not\equiv 1$ mod $p_x$; for all $x : 1 \leq x \leq y$

Quadratic Residues with $p \equiv {3 \bmod 4}$

Quadratic Character of -3

Showing the Existence of a Quadratic Residue

Can every element of a finite field be written as a sum of two non-squares?

Some combinations of quadratic residues

Representations of some primes as $x^2-2y^2$?

For what odd prime p is -3 a quadratic residues? Non-residue?

Elementary proof for: If x is a quadratic residue mod p, then it is a quadratic residue mod p^k

Finding a prime in range with the largest minimal non quadratic residue

Determine the quadratic character of $293 \bmod 379$.

2016 Spain Math Olympiad final stage, problem 2

Doubt regarding quadratic sieve

Euler Criterion proof

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