ELI5: Explain Like I'm 5

Effective results in number theory

Number theory is like a puzzle game that involves numbers. One of the goals is to find patterns in numbers to help you solve the puzzle. When you get effective results in number theory, it means that you found answers that really work and can help you solve the puzzle faster and better.

It's like if you were playing with building blocks and you figured out a really neat way to build a tower that doesn't fall down. That's an effective result because it works well every time you try it.

In number theory, some effective results might help you find out if a number is even or odd, or if it can be divided by another number evenly. These results can be used to solve bigger puzzles and problems, like finding out the factors of a really large number or figuring out how to encrypt data so it stays safe.

Overall, effective results in number theory make it easier to understand and work with numbers, and help us solve puzzles and problems faster and better.