11. Quadratic Residues Overview

Legendre Symbol Overview — Quiz

Test your understanding of legendre symbol overview with 5 practice questions.

Practice Questions

Question 1

For an odd prime $p$, what is $\left(\frac{a}{p}\right)$ when $a$ is a nonzero quadratic residue modulo $p$?

Question 2

What is $\left(\frac{0}{7}\right)$?

Question 3

What does $\left(\frac{a}{p}\right)=-1$ mean for an odd prime $p$?

Question 4

What is $\left(\frac{1}{p}\right)$ for any odd prime $p$?

Question 5

If $a^{(p-1)/2}\equiv -1\pmod p$ and $p\nmid a$, what is $\left(\frac{a}{p}\right)$?