List questions from quadratic-residues

Published on 25 Mar 2026 - 11:08

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Quadratic residue and cubic polynomials

Published on 25 Mar 2026 - 23:08

145

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If $p \equiv 3 \mod 8$ is prime and 3 is non-residue of $p$, then $p\equiv 19 \mod 24$.

Published on 03 Apr 2020 - 4:19

302

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Find the sum of quadratic residues modulo $101$

Published on 26 Mar 2026 - 2:55

75

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What is the size of the set $\{ 0^{42}\pmod{101}, 1^{42}\pmod{101}, 2^{42} \pmod{101},...,100^{42}\pmod{101}\}$

Published on 26 Mar 2026 - 0:54

180

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Find the number of integer pairs 0 ≤ a, b ≤ 100 such that a^20 ≡ b^50 (mod 101). Need help with understanding solution

Published on 26 Mar 2026 - 0:53

33

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A quadratic residue equality proof

Published on 07 Apr 2020 - 15:57

942

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Show there exist integers $a$ and $b$ such that $a^2+b^2\equiv -1\mod p$

Published on 12 Apr 2020 - 13:40

60

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Testing for primitive roots using quadratic non residue and Jacobi symbol

Published on 25 Mar 2026 - 16:12

57

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Given a prime number a of the form 29 (mod 40) or 40k + 29. Show that the prime a cannot divide any integer of the form n^2 + 10.

Published on 26 Mar 2026 - 0:54

240

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How to know if a number is quartic residue or nonresidue modulo n?

Published on 27 Apr 2020 - 1:22

220

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Need help with Jacobi symbol / quadratic nonresidues proof

Published on 23 Feb 2026 - 4:38

162

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Wilson's Theorem Application to Quadratic Residues

Published on 12 May 2020 - 1:38

57

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Finding conditions such that $4b^2 > a^2 > 3b^2$ and $b \mid (a^2-1)$ imply $b=(a+1)/2$

Published on 19 May 2020 - 15:47

42

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Distinguishing quadratic residues of a number

Published on 22 May 2020 - 11:44

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Help regarding Quadratic Sieve

Quadratic residue and cubic polynomials

If $p \equiv 3 \mod 8$ is prime and 3 is non-residue of $p$, then $p\equiv 19 \mod 24$.

Find the sum of quadratic residues modulo $101$

What is the size of the set $\{ 0^{42}\pmod{101}, 1^{42}\pmod{101}, 2^{42} \pmod{101},...,100^{42}\pmod{101}\}$

Find the number of integer pairs 0 ≤ a, b ≤ 100 such that a^20 ≡ b^50 (mod 101). Need help with understanding solution

A quadratic residue equality proof

Show there exist integers $a$ and $b$ such that $a^2+b^2\equiv -1\mod p$

Testing for primitive roots using quadratic non residue and Jacobi symbol

Given a prime number a of the form 29 (mod 40) or 40k + 29. Show that the prime a cannot divide any integer of the form n^2 + 10.

How to know if a number is quartic residue or nonresidue modulo n?

Need help with Jacobi symbol / quadratic nonresidues proof

Wilson's Theorem Application to Quadratic Residues

Finding conditions such that $4b^2 > a^2 > 3b^2$ and $b \mid (a^2-1)$ imply $b=(a+1)/2$

Distinguishing quadratic residues of a number

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