List questions from legendre-symbol

Published on 08 Apr 2020 - 2:59

86

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How to evaluate Legendre symbols more quickly

Published on 12 Apr 2020 - 12:05

59

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Testing for primitive roots using quadratic non residue and Jacobi symbol

Published on 18 Apr 2020 - 14:45

56

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Investigate the size of $\sum_{x=0}^{p-1}e^{2\pi ix^2/p}$

Published on 21 Apr 2020 - 8:47

97

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Analogue of Fermat’s Theorem

Published on 21 Apr 2020 - 17:05

399

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If $(p^2-1)/8$ is an odd number and $p$ is prime odd number what is $p\pmod8$?

Published on 05 May 2020 - 7:54

217

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Calculate Legendre symbol

Published on 13 May 2020 - 13:47

64

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Prove $\bigg(\frac{1(1-m)}{p}\bigg) + \bigg(\frac{2(2-m)}{p}\bigg) + \dots + \bigg(\frac{(p-1)(p-1-m)}{p}\bigg) = -1$.

Published on 14 May 2020 - 5:30

101

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Calculate Jacobi symbol

Published on 23 Feb 2026 - 4:35

60

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Quadratic Integer Ring mod p - Field?

Published on 22 Mar 2026 - 8:31

73

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Finding solutions to $x^2\equiv a$ mod $8k+1$, $8k+1$ prime

Published on 14 Jul 2020 - 23:03

282

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Product of Gauss sums $\tau_p,\tau_q$

Published on 25 Mar 2026 - 7:44

42

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What is the solution to $F\left(n\right)=F\left(n-1\right)+\left(\frac{2}{n}\right)F\left(n-2\right)$ with Legendre symbol?

Published on 02 Aug 2016 - 18:42

24

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Verification: have I worked this legendre symbol correctly

Published on 03 Aug 2016 - 11:25

360

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Find the primes $p$ such that the equation: $x^{2} + 6x + 15 = 0$ has a solution modulo $p$

Published on 03 Aug 2016 - 21:45

List Question

Proving Diophantine Equation has no solution using Legendre Symbol

How to evaluate Legendre symbols more quickly

Testing for primitive roots using quadratic non residue and Jacobi symbol

Investigate the size of $\sum_{x=0}^{p-1}e^{2\pi ix^2/p}$

Analogue of Fermat’s Theorem

If $(p^2-1)/8$ is an odd number and $p$ is prime odd number what is $p\pmod8$?

Calculate Legendre symbol

Prove $\bigg(\frac{1(1-m)}{p}\bigg) + \bigg(\frac{2(2-m)}{p}\bigg) + \dots + \bigg(\frac{(p-1)(p-1-m)}{p}\bigg) = -1$.

Calculate Jacobi symbol

Quadratic Integer Ring mod p - Field?

Finding solutions to $x^2\equiv a$ mod $8k+1$, $8k+1$ prime

Product of Gauss sums $\tau_p,\tau_q$

What is the solution to $F\left(n\right)=F\left(n-1\right)+\left(\frac{2}{n}\right)F\left(n-2\right)$ with Legendre symbol?

Verification: have I worked this legendre symbol correctly

Find the primes $p$ such that the equation: $x^{2} + 6x + 15 = 0$ has a solution modulo $p$

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