The story of Gauss Sum is that Gauss, who is only 10 years old, solved a difficult problem for the math teacher Butner. Butner asked his students to add up all the integers from 1 to 100. Originally, Butner wanted to embarrass the students, but Gauss soon figured out the answer. The method that Gauss used to solve the answer quickly was later called Gauss summation.

Gaussian summation formula

The formula of Gaussian sum is1+2+3+4+...+n = (n+1) n.

/2 means that when several consecutive integers are added, their sum is equal to the sum of the first and last terms of these numbers multiplied by the quotient of the number of terms divided by 2.

Introduction to gauss

Gauss is a German mathematician who was born in Brunswick. The poet called him "the prince of mathematics". Gauss's most famous story is "Gauss Sum", which completed the difficult problem assigned by the math teacher and solved the sum of continuous natural numbers as quickly as possible. Gauss also made immortal contributions in the history of mathematics. He discovered the prime number distribution theorem and the least square method, and also deduced the formula for calculating the Easter date, which made outstanding contributions to the development of mathematics.