Theorem

Chen's Theorem

Number Theory

Chen's theorem is a result in number theory stating that every sufficiently large even number can be written as the sum of either two primes or a prime and a semiprime, a number that is the product of exactly two primes. It is a weakened form of Goldbach's conjecture, which asserts more strongly that every even number is the sum of two primes. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Statement
Every sufficiently large even number can be written as the sum of either two primes or a prime and a semiprime. 1
Proof Year
1966 2
Classification
Statement Form
Existence Theorem 1
Connections

Has Statement Form

In Branch

Source Chen's theorem (Wikipedia)

Principal Result Of

Source Chen Jingrun (Wikipedia)

Proved By

Source ProofWiki: Chen's Theorem - ProofWiki
Sources
1. Chen's theorem (Wikipedia)
  • Introduction
    every sufficiently large even number can be written as the sum of either two primes or a prime and a semiprime
  • In Branch: Number Theory, Lead sentence
    In number theory, Chen's theorem states that every sufficiently large even number can be written as the sum of either two primes o
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2. PlanetMath: Chen's Theorem - PlanetMath
PlanetMathPage text
Quote, Page text
This theorem was proven by Chen Jingrun in 1966 but had to delay publishing his results until 1973 because of political problems in his native China.
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Chen Jingrun (Wikipedia)
Principal Result Of: Chen Jingrun, Life and career, 1966 paper
Quote, Principal Result Of: Chen Jingrun, Life and career, 1966 paper
he proved what is now called Chen's theorem
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ProofWiki: Chen's Theorem - ProofWiki
ProofWikiProved By: Chen Jingrun, Historical Note
Quote, Proved By: Chen Jingrun, Historical Note
Chen's Theorem was proved by Chen Jingrun in $1973$.
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