Legendre Conjecture over Arithmetic Progressions

2024/03/20 by Carella, N. A.
#FOS: Mathematics #General Mathematics (math.GM) #Primary 11N05 #Secondary 11N32

paper · doi:10.48550/arxiv.2403.19698

Abstract

Let 1≤ a1 be a large number. This note discusses the existence of a short sequence of primes p≡ a\bmod q between two squares x² and (x+1)².

Related

• Weakening the Legendre Conjecture
• Proof of Legendre's Conjecture
• Legendre's conjecture. Theorem on existence of a prime number between m² and (m+1)²
• Existence of primes between two consecutive squares
• On Legendre's, Brocard's, Andrica's, and Oppermann's Conjectures