The Gauss summation is a well-known method for calculating the sum of the first n natural numbers. The story behind this formula is as fascinating as the formula itself. The young Carl Friedrich Gauss, a mathematical genius, discovered this formula at around the age of seven. Legend has it that his teacher kept the class busy by asking them to add all the numbers from 1 to 100. While the other students laboriously tackled the problem, Gauss immediately recognized a pattern. He noticed that the n