Art of Problem Solving

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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.  

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

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See Also