Number Theory

    

Study On Delta Between Primes And Triangular Numbers

Authors: Marcin Barylski

There are several interesting properties of triangular numbers and research work devoted to them. One of the categories is correlation between them and primes- there is hypothesis that between every two different triangularnumbers >1 there is always a prime number. This paper is focused on detailed examination of such difference, mainly between triangular numbers and their closest (smaller or greater) primes (this difference is called in this work delta,δTP), including its extreme values, also in spirit of finding effective test to search for prime numbers.

Comments: 5 Pages. Editorial fixes + more experiments for hypothesis 1 (Note by viXra Admin: Please submit article written with AI assistance to ai.viXra.org)

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Submission history

[v1] 2026-02-24 21:52:03
[v2] 2026-03-15 00:40:40

Unique-IP document downloads: 195 times

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