关于素数分布的逻辑
About the logic of the prime number distribution
摘要:
在素数分布中,有两个基本的数列起着主要的作用。第一数字序列SQ1包含形式为6n+5的所有素数,第二数字序列SQ2包含形式为6n+1的所有素数。所有现存的素数似乎都包含在这两个数列中,除了素数2和3。黎曼Zeta函数似乎也表明,在所提到的数列和素数的分布之间存在逻辑联系。这种连接由Zeta函数图中的线表示,这些线由Zeta函数为实数的点s形成。在素数分布中的另一个关键作用是数字5及其在两个数列SQ1和SQ2中的周期性出现。SQ1和SQ2中的所有非素数都是由这两个数列的递归引起的,其本身的波长增加,以类似的方式作为泛音(谐波)或低音来自基频。相反,素数表示在这两个基本数字序列SQ1和SQ2中没有由这些循环数字序列引起的干扰的点。非素数和素数的分布可以用一个波浪模型(或干扰模型)以图形的方式来描述,见表2。
英文摘要:
There are two basic number sequences which play a major role in the prime number distribution. The first Number Sequence SQ1 contains all prime numbers of the form 6n+5 and the second Number Sequence SQ2 contains all prime numbers of the form 6n+1. All existing prime numbers seem to be contained in these two number sequences, except of the prime numbers 2 and 3. Riemanns Zeta Function also seems to indicate, that there is a logical connection between the mentioned number sequences and the distribution of prime numbers. This connection is indicated by lines in the diagram of the Zeta Function, which are formed by the points s where the Zeta Function is real. Another key role in the distribution of the prime numbers plays the number 5 and its periodic occurrence in the two number sequences SQ1 and SQ2. All non-prime numbers in SQ1 and SQ2 are caused by recurrences of these two number sequences with increasing wave-lengths in themselves, in a similar fashion as Overtones (harmonics) or Undertones derive from a fundamental frequency. On the contrary prime numbers represent spots in these two basic Number Sequences SQ1 and SQ2 where there is no interference caused by these recurring number sequences. The distribution of the non-prime numbers and prime numbers can be described in a graphical way with a -Wave Model- (or Interference Model) -- see Table 2.
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