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- Chen's_theorem abstract "In number theory, Chen's theorem states that every sufficiently large even number can be written as the sum of either two primes, or a prime and a semiprime (the product of two primes). The theorem was first stated by Chinese mathematician Chen Jingrun in 1966, with further details of the proof in 1973. His original proof was much simplified by P. M. Ross. Chen's theorem is a giant step towards the Goldbach conjecture, and a remarkable result of the sieve methods.Chen's 1973 paper stated two results with nearly identical proofs. His Theorem I, on the Goldbach conjecture, was stated above. His Theorem II is a result on the twin prime conjecture. It states that if h is a positive even integer, there are infinitely many primes p such that p+h is either prime or the product of two primes.Ying Chun Cai proved the following in 2002:There exists a natural number N such that every even integer n larger than N is a sum of a prime less than or equal to n0.95 and a number with at most two prime factors.↑ ↑ 2.0 2.1 ↑ ↑".
- Chen's_theorem thumbnail Chen_Jing-run.JPG?width=300.
- Chen's_theorem wikiPageExternalLink Page015.htm.
- Chen's_theorem wikiPageID "1400840".
- Chen's_theorem wikiPageRevisionID "603636564".
- Chen's_theorem hasPhotoCollection Chen's_theorem.
- Chen's_theorem title "Chen's Theorem".
- Chen's_theorem urlname "ChensTheorem".
- Chen's_theorem subject Category:Chinese_mathematical_discoveries.
- Chen's_theorem subject Category:Theorems_about_prime_numbers.
- Chen's_theorem subject Category:Theorems_in_analytic_number_theory.
- Chen's_theorem type Abstraction100002137.
- Chen's_theorem type Communication100033020.
- Chen's_theorem type Message106598915.
- Chen's_theorem type Proposition106750804.
- Chen's_theorem type Statement106722453.
- Chen's_theorem type Theorem106752293.
- Chen's_theorem type TheoremsAboutPrimeNumbers.
- Chen's_theorem type TheoremsInAnalyticNumberTheory.
- Chen's_theorem comment "In number theory, Chen's theorem states that every sufficiently large even number can be written as the sum of either two primes, or a prime and a semiprime (the product of two primes). The theorem was first stated by Chinese mathematician Chen Jingrun in 1966, with further details of the proof in 1973. His original proof was much simplified by P. M. Ross.".
- Chen's_theorem label "Chen's theorem".
- Chen's_theorem label "Satz von Chen".
- Chen's_theorem label "Teorema de Chen".
- Chen's_theorem label "Théorème de Chen".
- Chen's_theorem label "مبرهنة تشين".
- Chen's_theorem label "陈氏定理".
- Chen's_theorem label "陳の定理".
- Chen's_theorem sameAs Satz_von_Chen.
- Chen's_theorem sameAs Théorème_de_Chen.
- Chen's_theorem sameAs 陳の定理.
- Chen's_theorem sameAs 천의_정리.
- Chen's_theorem sameAs Teorema_de_Chen.
- Chen's_theorem sameAs m.04zm8t.
- Chen's_theorem sameAs Q1317350.
- Chen's_theorem sameAs Q1317350.
- Chen's_theorem sameAs Chen's_theorem.
- Chen's_theorem wasDerivedFrom Chen's_theorem?oldid=603636564.
- Chen's_theorem depiction Chen_Jing-run.JPG.
- Chen's_theorem isPrimaryTopicOf Chen's_theorem.
