素数在平方根螺线上的分布
The distribution of prime numbers on the square root spiral
摘要：
素数显然是在定义的螺旋图上累积的，这些螺旋图贯穿平方根螺旋。这些螺旋图可以被分配到不同的螺旋系统，其中所有的螺旋图具有相同的旋转方向和相同的-第二差-在这些螺旋图上的数字之间。数学分析表明，这些螺旋图完全是由二次多项式引起的。例如，众所周知的欧拉多项式x2+x+41以三个螺旋图的形式出现在平方根螺旋上，这三个螺旋图由三个不同的二次多项式定义。所有的自然数，可被某个素因子整除，也都位于平方根螺线（或西奥多罗斯螺线，或武泽尔螺线）上定义的螺线图上。而平方数4、9、16、25、36甚至形成了一个高度三对称的三螺旋图系统，它将平方根螺旋分成三个相等的区域。斐波那契数列也在平方根螺旋的结构中起作用。借助罗伯特·萨克斯先生描述的数字螺旋，可以在平方根螺旋和乌拉姆螺旋之间进行比较。所示的部分，他的研究的数字螺旋包含图表，这是有关我的分析结果，特别是在关于分布的素数。
英文摘要：
Prime Numbers clearly accumulate on defined spiral graphs,which run through the Square Root Spiral. These spiral graphs can be assigned to different spiral-systems, in which all spiral-graphs have the same direction of rotation and the same -- second difference -- between the numbers, which lie on these spiral-graphs. A mathematical analysis shows, that these spiral graphs are caused exclusively by quadratic polynomials. For example the well known Euler Polynomial x2+x+41 appears on the Square Root Spiral in the form of three spiral-graphs, which are defined by three different quadratic polynomials. All natural numbers,divisible by a certain prime factor, also lie on defined spiral graphs on the Square Root Spiral (or Spiral of Theodorus, or Wurzelspirale). And the Square Numbers 4, 9, 16, 25, 36 even form a highly three-symmetrical system of three spiral graphs, which divides the square root spiral into three equal areas. Fibonacci number sequences also play a part in the structure of the Square Root Spiral. With the help of the Number-Spiral, described by Mr. Robert Sachs, a comparison can be drawn between the Square Root Spiral and the Ulam Spiral. The shown sections of his study of the number spiral contain diagrams, which are related to my analysis results, especially in regards to the distribution of prime numbers.
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。
