论文标题

Fermat的两个正方形定理的quixotic证明

A Quixotic Proof of Fermat's Two Squares Theorem for Prime Numbers

论文作者

Bacher, Roland

论文摘要

每个奇数p可以精确地写入(p + 1)/2作为两个有序产品AB和CD的AB + CD,以使最小(a,b)> max(c,d)。简单的推论是Fermat定理以1 + 4n表示的素数为两个正方形的总和。

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 Fermat's Theorem expressing primes in 1 + 4N as sums of two squares.

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