How can I easily calculate this equation $x^2+y^2=76149513$ when $x$ and $y$ are whole numbers?
2026-03-25 13:51:51.1774446711
Pythagoras theorem quick calculation
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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.)