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Problem 6 / Challenge #6: Sum Square Difference

The sum of the squares of the first ten natural numbers is,

12 + 22 + ... + 102 = 385.

The square of the sum of the first ten natural numbers is,

(1 + 2 + ... + 10)2 = 552 = 3025.

Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640.

Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.

ProjectEuler+ Problem Statement

The Project Euler problem is equivalent to the ProjectEuler+ challenge with T = 1 and N = 100.