2014/06/22 by Tianxin Cai, Yong Zhang, Cai, Tianxin +3
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Cryptography and Residue Arithmetic #FOS: Mathematics #Number Theory (math.NT) #Primary 11D41 #Secondary 11G05
paper · pdf · doi:10.48550/arxiv.1406.5661
openalex publication_date 2014/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, by using the theory of elliptic curves, we discuss several Diophantine equations related with the so-called figurate primes. Meanwhile, we raise several conjectures related with figurate primes and Hilbert's 8th problem, including Goldbach's conjecture, twin primes conjecture and Catalan's conjecture as well.