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math.NT2022
A Quixotic Proof of Fermat's Two Squares Theorem for Prime Numbers
Roland Bacher
Every odd prime number p can be written in exactly (p + 1)/2 ways as a sum ab+cd of two ordered products ab and cd such that min(a, b) > max(c, d). An easy corollary is a proof of…
math.NT2022
Euclid meets Popeye: The Euclidean Algorithm for matrices
Roland Bacher
An analogue of the Euclidean algorithm for square matrices of size 2 with integral non-negative entries and strictly positive determinant defines a finite set …