Number Theory

    

On Search For The Largest Prime Island

Authors: Marcin Barylski

There are several interesting ways to depict distribution of primes like Ulam Spiral, Klauber Triangle or the Sacks Number Spiral. In all cases, Prime Number Theorem describes the asymptotic distribution of such numbers among the positive integers. This work is devoted to illustration of primes of form p x q +- C in a way that allows to search for clusters (so called islands of primes). The direct goal of this experimental work is to locate islands with the largest surface area and potentially discover some further patterns in distribution of primes.

Comments: 7 Pages. Updating results and the greatest prime island found so far (of size 16).

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Submission history

[v1] 2025-07-26 20:47:46
[v2] 2025-10-26 20:15:45
[v3] 2025-11-16 19:33:56

Unique-IP document downloads: 370 times

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