A Corrected Simplified Proof of Chen's Theorem

TL;DR

This paper revises and corrects a simplified proof of Chen's theorem, which states that large even integers can be expressed as a sum of a prime and a product of at most two primes, ensuring the proof's validity.

Contribution

The paper provides a corrected and rigorous simplified proof of Chen's theorem, addressing previous gaps and errors in the proof by Pan et al.

Findings

The corrected proof confirms Chen's theorem for large even integers.

Clarifies the logical gaps in the previous simplified proof.

Ensures the validity of the simplified proof approach.

Abstract

In 1973, J.-R. Chen showed that every large even integer is a sum of a prime and a product of at most two primes. In this paper, the author indicates and fixes the issues in a simplified proof of this result given by Pan et al.