English

Primes Solutions Of Linear Diophantine Equations

General Mathematics 2014-04-04 v2

Abstract

Let k => 1, m => 1 be small fixed integers, gcd(k, m) = 1. This note develops some techniques for proving the existence of infinitely many primes solutions x = p, and y = q of the linear Diophantine equation y = mx + k.

Keywords

Cite

@article{arxiv.1310.8140,
  title  = {Primes Solutions Of Linear Diophantine Equations},
  author = {N. A. Carella},
  journal= {arXiv preprint arXiv:1310.8140},
  year   = {2014}
}

Comments

Fifteen Pages. Sharpen the Proof of Theorem 1. Keywords: Prime Diophantine Equations, Primes Pairs, DePolignac Problem, Primitive Root

R2 v1 2026-06-22T01:57:23.933Z