Vinogradov's Theorem/Historical Note

Historical Note on Vinogradov's Theorem

Vinogradov's Theorem: Corollary $2$ 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 $2$nd corollary: 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

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Goldbach's conjecture
  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Vinogradov's theorem
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Goldbach's conjecture
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Vinogradov's theorem