整数的一种表示形式

On One of the Forms of Expression of Integers

本文探讨整数的一种表示形式:整数均能表示为两个非负整数的平方差形式吗?(1)任何奇数均能表示为两个非负整数的平方差;(2)形如4n+2(n∈Z)的整数不能表示为两个非负整数的平方差;(3)形如4n(n∈Z)的整数能表示为两个非负整数的平方差。此外,整数的平方差形式是不唯一的。

The author explores one of the forms of expression of integers： Do integers can be expressed as the form of the square difference of two negative integers？ （1） Any odd number can be expressed as the square difference of two nonnegative integers; （2） The integer in the form of 4 n ＋ 2 （ n ∈ Z ） cannot be expressed as the square difference of two nonnegative integers; （3） The integer in the form of 4 n （ n ∈ Z ） can be expressed as the square difference of two nonnegative integers, Besides, there can＇t be only one form of the square difference of integers.