How can I easily calculate this equation $x^2+y^2=76149513$ when $x$ and $y$ are whole numbers?
closed as off-topic by Namaste, Siong Thye Goh, Simply Beautiful Art, Arnaud Mortier, user99914 Aug 1 '18 at 16:44
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Wolfram alpha tells me $$76149513 = 3^2×11×353×2179 .$$
Since $11$ is a prime factor congruent to $3$ modulo $4$ that number can't be written as a sum of two squares.
(I could have tested for divisibility by $11$ by calculating the alternating sum of the digits.)