If a prime $p$ can be written as the sum of two squares, then one can construct this representation via Fermat descent if we know an $x$ such that $x^2 \equiv -1 \mod p$. Is there a possibility to say how much steps the Fermat descent will have without just going through the descent?
2026-03-28 08:50:16.1774687816
Sum of two squares - Number of steps in Fermat descent
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