Partition-theoretic model of prime distribution, II

Abstract

In recent work by Botkin, Dawsey, Hemmer, Just and the present author, a deterministic model of prime number distribution is developed based on properties of integer partitions that gives almost exact estimates for $\pi (n)$, the number of primes less than or equal to positive integer $n$, up to $n=10,000$. In this follow-up paper, the author summarizes the ideas behind this partition-theoretic model of primes and formulates a computational model that is practically exact in its estimates of $\pi (n)$ up to $n=100,000$.

arXiv comment8 pages, 3 tables, submitted for publication