Explicit Chen's theorem

2015/11/11 by Tomohiro Yamada, Yamada, Tomohiro · 2 citations
Mathematics · #11N35 #Advanced Mathematical Theories #Analytic Number Theory Research #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT) #math.NT #msc:11N35

paper · pdf · doi:10.48550/arxiv.1511.03409

32 pages

openalex publication_date 2015/11/11 · arxiv created 2015/12/17 · arxiv updated 2015/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that every even number >expexp 36 can be represented as the sum of a prime and a product of at most two primes.

Citations

• Approximate formulas for some functions of prime numbers
• Estimates of Some Functions Over Primes without R.H.
• Explicit formulae for primes in arithmetic progressions, I

Cited by

• An effective Bombieri-Vinogradov error term for sifting problems
• Additive Representations of Natural Numbers

Related

• An explicit version of Chen's theorem and the linear sieve
• A Corrected Simplified Proof of Chen's Theorem
• An explicit version of Chen's theorem assuming the Generalized Riemann Hypothesis
• There is at least one pair of double primes for any even number
• Representation of even integers as a sum of squares of primes and powers of two