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在浙教版初中数学实验教材八年级下册第4章的“前言”及第83页的“阅读材料”中都给出了关于费马数的一些有趣史料:形如2~(2″)+1(n为自然数)的数称为费马数,简记为F_n.1640年,法国数学家费马(Fermat,1610～1665)根据F_0=3,F_1=5,F_2=17,F_3=257,F_4=65537都是素数,因而作出猜测:对于所有的自然数n,
In the Zhejiao version of junior high school mathematics experimental teaching materials eighth grade fourth chapter of the “Preface” and page 83 of the “reading material” are given on the Fermat number of some interesting historical data: shaped as 2 ~ (2) + 1 (n is a natural number) is called the Fermat number, abbreviated as F_n. In 1640, the French mathematician Fermat (1610 ~ 1665) according to F_0 = 3, F_1 = 5, F_2 = 17, F_3 = 257, F_4 = 65537 are prime numbers, thus making a guess: For all natural numbers n,