Saltar al contenido principal

Escribe una PREreview

Empirical Verification of Goldbach’s Conjecture Beyond Four Quintillion

Publicada
Servidor
Preprints.org
DOI
10.20944/preprints202503.0949.v1

We present an empirical verification of the Goldbach Conjecture for even integers after four quintillion. We even go on to extend this range further up to six quintillion; this significantly extends the empirical boundaries. Using probabilistic primality testing and trial division, we tested even integers in this range and found no violations. Our results demonstrate that this conjecture holds for this range. We even go on to demonstrate the decomposition of some even integers. While this paper doesn’t constitute a formal proof, it supports the validity of the conjecture through empirical evidence. These findings are also consistent with the prime gaps that are expected at such a scale.

Puedes escribir una PREreview de Empirical Verification of Goldbach’s Conjecture Beyond Four Quintillion. Una PREreview es una revisión de un preprint y puede variar desde unas pocas oraciones hasta un extenso informe, similar a un informe de revisión por pares organizado por una revista.

Antes de comenzar

Te pediremos que inicies sesión con tu ORCID iD. Si no tienes un iD, puedes crear uno.

¿Qué es un ORCID iD?

Un ORCID iD es un identificador único que te distingue de otros/as con tu mismo nombre o uno similar.

Comenzar ahora