Question

Why 1975 can't be the sum of two squares. Or prove that the equality x ^ 2 + y ^ 2 = 1975 has no solutions in integers

Answer 1

Explanation:

If a number can be expressed by sum of two square, only if the number can be represented by 4k + 1 form

1975 = 4*493 + 3

So, 1975 can't be a sum of two squares