Art of Problem Solving

Chen's Theorem: Difference between revisions

mNo edit summary
Whatabwot (talk | contribs)
 
(2 intermediate revisions by 2 users not shown)
Line 4: Line 4:
Chen's Theorem states that any sufficiently large [[even]] number <math>\left(>e^{e^{36}}\right)</math> can be written as the sum of:
Chen's Theorem states that any sufficiently large [[even]] number <math>\left(>e^{e^{36}}\right)</math> can be written as the sum of:
*two [[prime|primes]]
*two [[prime|primes]]
*a prime or a [[semiprime]]
*a prime and a [[semiprime]] (a semiprime is the product of two primes)


The theorem was first stated in 1966.  
The theorem was first stated in 1966.  
Tomohiro Yamada proved Chen's theorem in 2015
{{stub}}
{{stub}}


==See Also==
==See Also==
[[Category:Theorems]]
[[Category:Theorems]]

Latest revision as of 18:03, 28 May 2020

Chen's Theorem is a theorem developed by Chinese mathematician, Chen Jingrun.

Theorem

Chen's Theorem states that any sufficiently large even number $\left(>e^{e^{36}}\right)$ can be written as the sum of:

  • two primes
  • a prime and a semiprime (a semiprime is the product of two primes)

The theorem was first stated in 1966. Tomohiro Yamada proved Chen's theorem in 2015

This article is a stub. Help us out by expanding it.

See Also