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arXiv · 2511.20829

Partition-theoretic model of prime distribution, II

Robert Schneider
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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 $n=100,000$.

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Robert Schneider. 2025-11-25. Partition-theoretic model of prime distribution, II. https://arxiv.org/abs/2511.20829

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