Chen's Theorem

Theorem

Every sufficiently large even integer is the sum of either:

$(1): \quad$ two primes, or
$(2): \quad$ a prime and a semiprime.


Proof


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Source of Name

This entry was named for Chen Jingrun.


Historical Note

was proved by Chen Jingrun in $1973$.

As such it made a major inroad into the resolution of the Goldbach Conjecture.


Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Goldbach's conjecture
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Goldbach's conjecture
  • 2008: Ian Stewart: Taming the Infinite ... (previous) ... (next): Chapter $7$: Patterns in Numbers: Fermat
  • 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): Chen's theorem
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