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arXiv 0801.4422math.GM
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能被2,3,5,11,13,17整除的自然数在平方根螺线上的分布

The distribution of natural numbers divisible by 2,3,5,11,13 and 17 on the Square Root Spiral

Harry K. Hahn

摘要:

可被素因子2、3、5、11、13和17整除的自然数位于定义的螺旋图上,该螺旋图穿过平方根螺旋。数学分析表明,这些螺旋图由特定的二次多项式定义。基本上所有能被同一素因子整除的自然数都位于这样的螺线图上。这些螺旋图可以被分配给一定数量的螺旋图系统,它们彼此之间有一个定义的空间方向。这份文件是对我对平方根螺旋的详细介绍研究的补充,它包含了缺失的图表和分析,显示了平方根螺旋上可被2、3、5、11、13和17整除的自然数的分布。我对平方根螺旋的入门研究可以在arxiv存档中找到。本研究的题目是:自然数在平方根螺线上的有序分布。

英文摘要:

The natural numbers divisible by the Prime Factors 2, 3, 5, 11, 13 and 17 lie on defined spiral graphs, which run through the Square Root Spiral. A mathematical analysis shows, that these spiral graphs are defined by specific quadratic polynomials. Basically all natural number which are divisible by the same prime factor lie on such spiral graphs. And these spiral graphs can be assigned to a certain number of Spiral Graph Systems, which have a defined spatial orientation to each other. This document represents a supplementation to my detailed introduction study to the Square Root Spiral, and it contains the missing diagrams and analyses, showing the distribution of the natural numbers divisible by 2, 3, 5, 11, 13 and 17 on the Square Root Spiral. My introduction study to the Square Root Spiral can be found in the arxiv-archive. The title of this study : The ordered distribution of the natural numbers on the Square Root Spiral.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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