平方素数的分布

IF 0.4 Q4 MATHEMATICS

Missouri Journal of Mathematical Sciences Pub Date : 2021-09-16 DOI:10.35834/2022/3401121

Raghavendra Bhat

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引用次数: 6

摘要

对于6=1和p素数，我们将形式为pa的数定义为平方素数。例如，75=3.25；108=3.36；45=5.9。这些编号在OEIS中被列为A228056。我们研究了这些数字的性质、它们的分布/密度，并提出了一些关于它们分布/密度的主张。我们依靠计算机程序来验证一些高达大量的猜想。

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Distribution of Square-Prime Numbers

For a 6= 1 and p prime, we define numbers of the form pa to be Square-Prime (SP) Numbers. For example, 75 = 3 · 25; 108 = 3 · 36; 45 = 5 · 9. These numbers are listed in the OEIS as A228056. We study the properties of these numbers, their distribution/density and also develop a few claims on their distribution/density. We rely on computer programs to verify some conjectures up to large numbers.

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来源期刊

Missouri Journal of Mathematical Sciences MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Missouri Journal of Mathematical Sciences (MJMS) publishes well-motivated original research articles as well as expository and survey articles of exceptional quality in mathematical sciences. A section of the MJMS is also devoted to interesting mathematical problems and solutions.