This holiday season, spark a lifelong love of learning. Gift Brilliant Premium
Number Theory

Number Theory Warmups


Obviously, not all numbers are created equal, but number do share some fascinating properties. Examine the set of natural numbers in a way you've never seen before and find some truly beautiful and deep connections between them.

For example, have you ever wondered why 1, 5, and 6 are the only numbers which, when squared, have units digits equal to the original number? And why isn't 1 considered a prime number?

If you’re just beginning to use Brilliant as a way to improve your mathematical prowess, here’s the essence of Brilliant’s approach: solve problems. Here are some quick tips for strengthening your number theory problem-solving skills:

  • When you first approach a new question, ask yourself: "what are the properties of the numbers and operations involved in this question?"
  • The only even prime number is 2, and the number 1 is not a prime!
  • Understanding why rules and theorems work makes it easy for you to remember them.

Problem Loading...

Note Loading...

Set Loading...