我要求你给我一个正整数。

I demand that you give me a positive integer.

数字之积为偶数的四位正整数共有多少个？

How many four-digit positive integers have their product of digits even?

也就是a的b次方，而b是个正整数。

a to the b where b is an integer.

特别地，当D是某正整数集合，Z是整数集时，得出了整数距离图G（Z ，D）的点荫度的几个上界。

In particular, some upper bounds of the vertex arboricity of the integer distance graph G(Z, D) are obtained when D is a set of positive integers and Z the set of all integers.

为了判断整数是否为拟亲和数，文章在讨论费玛数和数论函数性质的基础上，找到了一种验证一个整数是否是拟亲和数的方法，从而证明了费玛数不与其他正整数构成拟亲和数对的结论。

In this paper, we find out a kind of method of verifying whether an integer is quasi-amicable or not, and prove the Fermat numbers are never perfect or part of an quasi-amicable pair.