13. Advanced Topics (SLASH) Student Presentations

Selected Classical Theorems — Quiz

Test your understanding of selected classical theorems with 5 practice questions.

Practice Questions

Question 1

Which theorem states that every integer greater than $1$ can be written as a product of primes in a unique way, up to the order of the factors?

Question 2

Which classical theorem is commonly used to show that there are infinitely many primes?

Question 3

Which theorem says that for a prime $p$ and any integer $a$, $a^p \equiv a \pmod p$?

Question 4

What is the remainder when $2^6$ is divided by $7$?

Question 5

Which theorem states that for a prime $p$, $(p-1)! \equiv -1 \pmod p$?