Vinogradov's Theorem/Corollary 2

Corollary to Vinogradov's Theorem

Every sufficiently large odd integer is the sum of three prime numbers.


Proof


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Historical Note

was conjectured by Edward Waring in $1770$ in Meditationes Algebraicae.

Ivan Matveevich Vinogradov proved what is now known as Vinogradov's theorem in $1937$, and as a result proved that : that every sufficiently large odd integer is the sum of three prime numbers.

This was considered an important step towards the resolution of Goldbach's Conjecture.


Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $3$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $3$
  • 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
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