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1640年12月25日,法国数学家费尔马(Pierre de Fermat,1601—1665)在他给数学家莫森(Marin Mersenne,1588—1648)的一封信中,提出一个定理(实际上是一个待证的命题):形如4n+1的每个素数都能而且只能以一种方式表为两个平方数之和.没有给出证明.费
On December 25, 1640, French mathematician Pierre de Fermat (1601–1665) proposed a theorem in his letter to mathematician Marin Mersenne (1588–1648). A provable proposition): Each prime number in the form of 4n+1 can and can only be expressed as a sum of two squares in one way. No proof is given.