The ternary Goldbach problem with a prime and two isolated primes

TL;DR

This paper proves that, assuming the GRH, every sufficiently large odd integer can be expressed as the sum of one prime and two isolated primes, advancing understanding of prime representations under unproven hypotheses.

Contribution

It establishes a new result linking the GRH to the representation of large odd integers as sums involving isolated primes.

Findings

Under GRH, sufficiently large odd integers are representable as a prime plus two isolated primes.

The proof relies on analytic number theory techniques assuming the GRH.

This work extends classical Goldbach-type results to a new class of primes.

Abstract

In the present paper we prove that under the assumption of the GRH (Generalized Riemann Hypothesis) each sufficiently large odd integer can be expressed as the sum of a prime and two isolated primes.