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一类集合的 3 因子个数研究
3-Factor Number Study of aClass of Sets

DOI: 10.12677/PM.2024.141018, PP. 168-175

Keywords: 3 因子，非 3 因子，因子个数
Factor 3, Non-3-Factor, Number of Factors

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Abstract:

本论文研究由任意非 3 因子元素组成的集合 \"\"其中D是一无穷整数子集，我们证明了对任意的k≥1，存在无穷多个？？1,？？2∈A，它们的差？？1？？？2至少有k个 3 因子。 分别讨论了集合A是整数集或有理数集下，利用数学归纳法以及集合之间的包含关系证得了上述结论是成立的。
In this thesis, we study the set consisting of any non-3-factor element\"\" where D is an infinite subset of integers.We show that there are infinitely many ？？1,？？2∈A, and their difference ？？1？？？2 has at least ？？ factors of 3 for any k≥1. If A is set of integers or set of rational numbers, the above conclusion is proved by mathematical induction and the induction relation between sets.

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