# Category: Number Theory

## Primes – How high can we go?

If you look at the primes, they seem to go on forever! And thanks to amazing mathematicians from the past we know that they do! But HOW do we know that they actually do? How can you be sure there is a number after 97 that is prime?

## How to find a prime

Last week we talked about what a prime number is, but we didn’t talk about a good way of finding what number is prime and what is not [other than checking if any number less than p divides that number]. This area of finding out what number is prime has been a big problem for many mathematicians and still has a lot of unanswered questions. The world of mathematics is still looking for an easy way to calculate whether a number is prime or not with a simple formula.

## Prime Numbers

A prime number by definition is a number p>1 such that p has no positive integer divisors other than 1 and p.

Wait… What?

## Modulo

Modulo! Mod you who? Modulo: A complicated way to say remainder!