New post in Quadratic-reciprocity

Solve quadratic congruence using the Chinese Remainder Theorem

August 1st, 2022

Legendre symbols (p/q) = (a/q)

August 1st, 2022

Determine the number of solutions for quadratic equation modulo prime

January 7th, 2020

Find the value of the following Legendre Symbols and Use Gausslemma to compute each of the Legendre symbols below

August 1st, 2022

Suppose $p$ and $q$ are odd primes and $p = q + 4a$ for some $a$. Prove that $(\frac ap) = (\frac aq)$ holds.

August 1st, 2022

Find all primes $p > 11$ such that $11$ is a quadratic residue $\pmod p$.

April 2nd, 2020

When computing the Legendre symbol $(\frac{3}{p})$, how to combine different congruences together into one statement?

March 29th, 2020

Determining prime numbers p which satisfy quadratic residues modulo p

August 1st, 2022

Let p be an odd prime, q the smallest quadratic non residue (mod p). Prove q is prime.

April 21st, 2020

When is the quadratic congruence $ax^2 + bx +c \equiv 0 \pmod p$ solvable?

July 7th, 2020

Describe all odd primes p for which 7 is a quadratic residue

August 1st, 2022

Find the set of primes $p$ which $6$ is a quadratic residue $\mod p$

August 1st, 2022

Find all primes $p$ so that 3 is a quadratic nonresidue modulo $p$

August 1st, 2022

Show that a prime divisor to $x^4-x^2+1$ has to satisfy $p=1 \pmod{12}$

August 1st, 2022

Quadratic Reciprocity: Determine if 11 is a quadratic residue $\mod p $for primes of the form: 44k+5?

August 1st, 2022

Proofs of the properties of Jacobi symbol

August 1st, 2022

If $p \equiv 1 \mod{4}$ is prime, how to find a quadratic nonresidue modulo $p$?

August 1st, 2022

Determine all primes $p$ for which $5$ is a quadratic residue modulo $p$

June 20th, 2020

Conceptual Proof of Quadratic Reciprocity

August 1st, 2022

Number Theory: Solutions of $ax^2+by^2\equiv1 \pmod p$

August 1st, 2022

elementary proof that infinite primes quadratic residue modulo $p$

April 11th, 2020

When is $2$ a quadratic residue mod $p$?

August 1st, 2022

Primes of the form $p=a^2-2b^2$.

August 1st, 2022

What is the point of quadratic residues?

August 1st, 2022

Zolotarev's Lemma and Quadratic Reciprocity

August 1st, 2022

If $a$ is a quadratic residue modulo every prime $p$, it is a square - without using quadratic reciprocity.

August 1st, 2022

Explicit formula for Fermat's 4k+1 theorem

August 1st, 2022

Uses of quadratic reciprocity theorem

August 1st, 2022

How does one see Hecke Operators as helping to generalize Quadratic Reciprocity?

May 10th, 2020