The ab2 Conjecture -Vô Conjecture 5 series 4 (VC5S4)

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Autore principale: Vô, Pseudonym
Natura: Recurso digital
Lingua:inglese
Pubblicazione: Zenodo 2026
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author Vô, Pseudonym
author_facet Vô, Pseudonym
contents <p>In this paper, we consider the ab2 conjecture, a proposal concerning the relationship between natural numbers and prime numbers through perfect squares. This conjecture states that for every natural number a>1, there exists a natural number b such that<br>b<2.32(lna)^2<br>and<br>a+b^2\in\mathbb{P}.<br>We present preliminary observations, example tests, and a discussion of the difficulty of finding counterexamples.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_18687227
institution Zenodo
language eng
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle The ab2 Conjecture -Vô Conjecture 5 series 4 (VC5S4)
Vô, Pseudonym
Prime numbers
Prime gaps
Analytic number theory
<p>In this paper, we consider the ab2 conjecture, a proposal concerning the relationship between natural numbers and prime numbers through perfect squares. This conjecture states that for every natural number a>1, there exists a natural number b such that<br>b<2.32(lna)^2<br>and<br>a+b^2\in\mathbb{P}.<br>We present preliminary observations, example tests, and a discussion of the difficulty of finding counterexamples.</p>
title The ab2 Conjecture -Vô Conjecture 5 series 4 (VC5S4)
topic Prime numbers
Prime gaps
Analytic number theory
url https://doi.org/10.5281/zenodo.18687227