2 papers
math.GM2026
Multiple Solutions to Exponential Diophantine Equations of Ramanujan-Nagell type:
Philip Gibbs
Ramanujan found five solutions to the exponential Diophantine equation where and are positive integers, and posed the problem of determining whether there are…
math.GM2024
Novel required properties of, and efficient algorithms to seek, perfect cuboids
Aubrey de Grey, Philip Gibbs, Louie Helm
We present a novel approach to the age-old question of whether perfect cuboids exist. Our approach consists of two new computer search algorithms, arising from the analysis of "per…