Sequences, Series and Uniform distribution of SP Numbers

Abstract

We defined numbers of the form $p\cdot a^2$ as SP numbers (Square-Prime numbers) ($a\ne 1$, $p$ prime) in 'Distribution of Square-Prime Numbers' (arXiv:2109.10238). These numbers are listed in the OEIS as A228056. Some examples of SP numbers: $75=3\cdot 25;108=3\cdot 36;45=5\cdot 9$. This paper explores sequences of these numbers, sequences between 0 and 1 related to these numbers and analyzes the distribution of some of these sequences.

Re-uploaded after corrections. Paper is currently undergoing peer-review

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