On the Gap sequence and the Gilbreath conjecture
Combinatorics
2026-04-07 v3 Number Theory
Abstract
Motivated by the Gilbreath conjecture, we develop the notion of the gap sequence induced by any sequence of numbers. We introduce the notion of the path and associated circuits induced by an originator and study the conjecture via the notion of the trace and length of a path.
Keywords
Cite
@article{arxiv.2104.05258,
title = {On the Gap sequence and the Gilbreath conjecture},
author = {Theophilus Agama},
journal= {arXiv preprint arXiv:2104.05258},
year = {2026}
}
Comments
13 pages; the paper has been reformatted and introduction expanded; ideas remain unchanged; visuals of the trace, paths and circuit with paths supplied