"Number Theory" sounds complex, but it's actually about studying math as simply and elegantly as possible. It's full of tools that can seem like a magician's work if you don't know the trick! That said, this exploration starts at the very beginning -- covering all of the essential tools and concepts in number theory, and then applying them to computational art, cryptography (code-breaking), challenging logic puzzles, understanding infinity, and more!
In these warmups, if you know the trick, you'll finish each problem in seconds!
Every integer greater than 1 has a unique name that can be written down in primes.
Explore, apply, and relate the GCD and LCM.
The danger of cyclic systems: one step too far and you're back where you started!
Considering the remainder "modulo" an integer is a powerful tool with many applications!