Sidon set

A Sidon set is like a fancy group of numbers. It is a group of numbers that are chosen in a special way so that when you add up any two numbers in the set, you won't get the same answer as when you add up two different numbers in the set.

Imagine you have a toy box with different colored balls. A Sidon set is like a group of balls in the toy box that you can pick up and play with. But, unlike other groups of balls where you might get the same combination every time you pick two up, a Sidon set is like a group of balls where you always get a unique combination.

This might seem simple, but figuring out how to choose a set of numbers like this can be very tricky and involve lots of math! People study Sidon sets because they can help in other areas of math like cryptography and coding theory.