Project Euler problem 6 solution 3 (TheAlgorithms#640)

project_euler/problem_06/sol3.py

@@ -0,0 +1,20 @@
+'''
+Problem:
+The sum of the squares of the first ten natural numbers is,
+            1^2 + 2^2 + ... + 10^2 = 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 N natural numbers and the square of the sum.
+'''
+from __future__ import print_function
+import math
+def problem6(number=100):
+    sum_of_squares = sum([i*i for i in range(1,number+1)])
+    square_of_sum = int(math.pow(sum(range(1,number+1)),2))
+    return square_of_sum - sum_of_squares
+def main():
+    print(problem6())
+
+if __name__ == '__main__':
+    main()