关于类费尔玛数H_n=10^(2^n)+1的几个性质

On Some Properties of Similar Fermat Numbers H_n=10^(2^n)+1

本文讨论类费尔玛数Hn=102n+1的若干性质,证明它们与费尔玛数Fn=22n+1有相似的性质,特别证明了它们既不是完全数也不与任何其它正整数构成亲和数对。

This paper explores some properties of similar Fermat numbers Fn = 2^2n ＋ 1. It maintains that its properties is roughly similar to those of Fermat numbers . It is proved that they are not perfect numbers and would never be amicable to any positive integer.