List questions from legendre-symbol

377

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How does Legendre symbol formula $(-1)^{{p-1\over 2}{q-1\over 2}}$, actually show the correct value?

Published on 21 May 2019 - 23:38

47

Views

Existence of a non - square solution to a modular equation (Y)

Published on 26 May 2019 - 7:04

345

Views

How to factor a polynomial over finite fields?

Published on 24 Mar 2026 - 23:43

70

Views

How to classify the factorization of polynomials over finite fields?

Published on 24 Mar 2026 - 23:44

2.8k

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How to prove that the Legendre symbol is multiplicative?

Published on 25 Mar 2026 - 6:21

122

Views

A proof of a property of the Legendre symbol.

Published on 12 Jun 2019 - 9:32

2k

Views

How can I prove that $ (3/p) = -1$ if $ p \equiv \pm 5 \pmod {12}$

Published on 25 Mar 2026 - 6:05

49

Views

Is the Legendre symbol (9/8) the same as Legendre symbol $3^2/2$?

Published on 14 Jun 2019 - 3:14

697

Views

establish that every prime number p of the form $ 8k + 1$ or $8k +3$ can be written as $ p = a^2 + 2b^2$ for some choice of integers a and b.

Published on 20 Jun 2019 - 23:47

153

Views

Modular arithmetic with Legendre symbol

Published on 21 Jun 2019 - 12:21

50

Views

Proving that $n$ is not a prime

Published on 25 Mar 2026 - 6:10

51

Views

Question on modular arithmetic with prime numbers

Published on 25 Mar 2026 - 6:09

92

Views

Why if the Legendre symbol satisfy $\left(\frac{a}p\right)=\left(\frac{p}a\right)$ then $\left(\frac{a}p\right) = 1$?

Published on 25 Mar 2026 - 6:13

130

Views

Assume that p and q are odd primes and $p \equiv q \pmod {28}$. Show that $(\frac{7}{p}) = (\frac{7}{q})$.

Published on 25 Mar 2026 - 4:43

35

Views

Can at least one primitive root $w$ of $N$ be expressed as $a^2-b$, where $(b|N)=-1$

Published on 13 Jul 2019 - 2:25

List Question

How does Legendre symbol formula $(-1)^{{p-1\over 2}{q-1\over 2}}$, actually show the correct value?

Existence of a non - square solution to a modular equation (Y)

How to factor a polynomial over finite fields?

How to classify the factorization of polynomials over finite fields?

How to prove that the Legendre symbol is multiplicative?

A proof of a property of the Legendre symbol.

How can I prove that $ (3/p) = -1$ if $ p \equiv \pm 5 \pmod {12}$

Is the Legendre symbol (9/8) the same as Legendre symbol $3^2/2$?

establish that every prime number p of the form $ 8k + 1$ or $8k +3$ can be written as $ p = a^2 + 2b^2$ for some choice of integers a and b.

Modular arithmetic with Legendre symbol

Proving that $n$ is not a prime

Question on modular arithmetic with prime numbers

Why if the Legendre symbol satisfy $\left(\frac{a}p\right)=\left(\frac{p}a\right)$ then $\left(\frac{a}p\right) = 1$?

Assume that p and q are odd primes and $p \equiv q \pmod {28}$. Show that $(\frac{7}{p}) = (\frac{7}{q})$.

Can at least one primitive root $w$ of $N$ be expressed as $a^2-b$, where $(b|N)=-1$

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