Gauss Sum is a way to add up a lot of numbers quickly. It is named after a famous mathematician named Carl Friedrich Gauss. The formula for finding the sum of a group of numbers looks like this: Sum = n/2 (first + last), where 'n' is the total number of numbers in the group and 'first' and 'last' are the first and last numbers in the group. So, if you wanted to add up the numbers 1, 2, 3, 4, and 5, the sum would be 5/2 (1 + 5), which equals 12.