List questions from legendre-symbol

Published on 22 Feb 2016 - 7:33

577

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Fibonacci Numbers and Legendre symbol

Published on 05 Apr 2016 - 5:03

370

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Prove that a perfect square (also a perfect square backwards) is divisible by 121

Published on 25 Mar 2026 - 22:25

85

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Suppose that gcd($a,p$) = gcd($b,p$) = 1, and neither of the congruences $x^2 ...

Published on 14 Apr 2016 - 0:04

63

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let $q$ be a prime of the form $q=3r+1$ and assume that $p=4q+1$ is also a prime. Show that $3$ is a primitive root of $p$

Published on 25 Mar 2026 - 23:58

228

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How do you evaluate the quadratic residue of 7 mod p?

Published on 23 Apr 2016 - 16:40

1.2k

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For which primes $p\not=2$ is $5$ a square mod $p$?

Published on 25 Mar 2026 - 22:23

238

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Proof Involving Legendre Symbol and Quadratic Residue Multiplication

Published on 16 May 2016 - 17:45

983

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Legendre symbol $(-11/p)$

Published on 25 Mar 2026 - 23:56

338

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sum of legendre symbol of quadratic non-residue power

Published on 30 May 2016 - 16:13

49

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is there an odd prime p such that (n/p)=1?

Published on 01 Jun 2016 - 5:44

591

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Existence of prime which makes Legendre symbol -1

Published on 03 Jun 2016 - 3:05

67

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Congruences and Legendre

Published on 03 Jun 2016 - 16:19

1.8k

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$5$ is quadratic residue mod $p$ if and only if $ p\equiv \pm 1, \pm 9 \pmod {20}$

Published on 25 Mar 2026 - 17:21

834

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Prove the congruence $ \sum_{r=1}^{p-1}{(r|p) * r } \equiv 0 \pmod p.$

Published on 06 Jun 2016 - 13:00

List Question

A problem with the Legendre/Jacobi symbols: $\sum_{n=1}^{p}\left(\frac{an+b}{p}\right)=0$

Fibonacci Numbers and Legendre symbol

Prove that a perfect square (also a perfect square backwards) is divisible by 121

Suppose that gcd($a,p$) = gcd($b,p$) = 1, and neither of the congruences $x^2 ...

let $q$ be a prime of the form $q=3r+1$ and assume that $p=4q+1$ is also a prime. Show that $3$ is a primitive root of $p$

How do you evaluate the quadratic residue of 7 mod p?

For which primes $p\not=2$ is $5$ a square mod $p$?

Proof Involving Legendre Symbol and Quadratic Residue Multiplication

Legendre symbol $(-11/p)$

sum of legendre symbol of quadratic non-residue power

is there an odd prime p such that (n/p)=1?

Existence of prime which makes Legendre symbol -1

Congruences and Legendre

$5$ is quadratic residue mod $p$ if and only if $ p\equiv \pm 1, \pm 9 \pmod {20}$

Prove the congruence $ \sum_{r=1}^{p-1}{(r|p) * r } \equiv 0 \pmod p.$

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