PARTITION-THEORETIC MODEL OF PRIME DISTRIBUTION, II

Document Type

Article

Publication Date

1-1-2026

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 π(n), the number of primes less than or equal to a positive integer n, up to n = 10,000. In this follow-up note, 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 π(n) up to n = 100,000.

Publication Title

Integers

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