List questions from quadratic-residues

Published on 10 Oct 2020 - 23:47

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Integers that are square modulo all powers of 2

Published on 26 Mar 2026 - 14:41

77

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What is the expected number of random choices to find a quadratic residue mod p?

Published on 16 Oct 2020 - 13:22

44

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If $p^{a} \mid\mid n$, and $n$ is not a perfect square, can $n$ be a square modulo all powers of $p$?

Published on 20 Oct 2020 - 5:22

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Question 9.2.11 Elementary number theory David M burton

Published on 21 Oct 2020 - 5:32

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For any prime p>5 proving the existence of consecutive quadratic residues and consecutive quadratic non residues

Published on 21 Oct 2020 - 11:00

28

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Proving (a/p) =1 if it satisfies this particular equation.

Published on 21 Oct 2020 - 11:18

76

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Product of Jacobi Symbols over Reduced Residue System

Published on 26 Mar 2026 - 21:27

131

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For odd $n$, if $x^2 = a \pmod{n}$ has a solution then at least one solution has a specific representation.

Published on 08 Nov 2020 - 17:39

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A new method for finding a solution (when they exist) to $x^2 = a \pmod p$?

Published on 10 Nov 2020 - 13:27

160

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Prove that $x^2\equiv a\pmod {2^m}$ has exactly 4 solutions if $a\equiv 1\pmod8$.

Published on 16 Nov 2020 - 15:41

176

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Legendre symbols

Published on 26 Mar 2026 - 19:25

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Quadratic form Gauss sum and quadratic residue

Published on 25 Mar 2026 - 19:04

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Quadratic gauss sum equivalence of definition

Published on 25 Mar 2026 - 16:13

25

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Demonstrating quadratic residues through three different lemmas

Published on 30 Nov 2020 - 16:36

List Question

Quadratic Residue Question

Integers that are square modulo all powers of 2

What is the expected number of random choices to find a quadratic residue mod p?

If $p^{a} \mid\mid n$, and $n$ is not a perfect square, can $n$ be a square modulo all powers of $p$?

Question 9.2.11 Elementary number theory David M burton

For any prime p>5 proving the existence of consecutive quadratic residues and consecutive quadratic non residues

Proving (a/p) =1 if it satisfies this particular equation.

Product of Jacobi Symbols over Reduced Residue System

For odd $n$, if $x^2 = a \pmod{n}$ has a solution then at least one solution has a specific representation.

A new method for finding a solution (when they exist) to $x^2 = a \pmod p$?

Prove that $x^2\equiv a\pmod {2^m}$ has exactly 4 solutions if $a\equiv 1\pmod8$.

Legendre symbols

Quadratic form Gauss sum and quadratic residue

Quadratic gauss sum equivalence of definition

Demonstrating quadratic residues through three different lemmas

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