Chen, J.R. (1973) On the Representation of a Large Even Number as the Sum of a Prime and the Product of at Most Two Primes. Scientia Sinica, 16, 157-176.

has been cited by the following article:

• TITLE: Decomposing Even Integers into Prime and Composite Parts

  AUTHORS: Seonghwan Yang

  KEYWORDS: Even Integers, Prime Number, Composite Number, Number Theory, Decomposition

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.15 No.4, September 3, 2025

  ABSTRACT: Let n≥10 be an even integer. It is proved that there exists a prime number p and a composite number c such that n=p+c . The proof is constructed using elementary number theory, incorporating inductive reasoning, deterministic candidate filtering, and contradiction-based exclusion. This result provides a structural decomposition of even integers as prime-Composite sums, without reliance on probabilistic or analytic methods.