%0 Journal Article
%T 一类集合的 3 因子个数研究<br>3-Factor Number Study of aClass of Sets
%A 庄婷婷
%J Pure Mathematics
%P 168-175
%@ 2160-7605
%D 2024
%I Hans Publishing
%R 10.12677/PM.2024.141018
%X 本论文研究由任意非 3 因子元素组成的集合 <img src=\"Edit_3fc080db-e771-4f67-be47-7c153a9e297c.png\" alt=\"\" />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？？<sub>1</sub>,？？<sub>2</sub>∈A，它们的差？？<sub>1</sub>？？？<sub>2</sub>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。<br />
In this thesis, we study the set consisting of any non-3-factor element<img src=\"Edit_689c8810-f8a9-46dc-8647-c70fa800f508.png\" alt=\"\" /> where D is an infinite subset of integers.We show that there are infinitely many ？？<sub>1</sub>,？？<sub>2</sub>∈A, and their difference ？？<sub>1</sub>？？？<sub>2</sub> 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.
%K 3 因子，非 3 因子，因子个数<br>Factor 3
%K Non-3-Factor
%K Number of Factors
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=79832