Claim: The exponent in the decomposition, 2, is even; therefore, the theorem which relates the prime decomposition of any integer n > 1 states that it is expressible as the sum of two squares.
Evidence: Its exponent in the decomposition, 2, is even. Therefore, the theorem states that it is expressible as the sum of two squares. In number theory, the sum of two squares theorem relates the prime decomposition of any integer n > 1 to whether it can be written as a sum of two squares, such that n = a + b for some integers a, b.