Ramaré's Theorem

Theorem

Every positive integer can be expressed as the sum of no more than $6$ prime numbers.


Proof


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Source of Name

This entry was named for Olivier Ramaré.


Historical Note

was proved by Olivier Ramaré in $1995$.

As such it makes inroads into the resolution of the Goldbach Conjecture.

In $2014$ the result was strengthened by Terence Tao, who reduced the number of primes to $5$.


The term was invented in $\text {2024}$ by $\mathsf{Pr} \infty \mathsf{fWiki}$ in order to refer to the result compactly.

As such, it is not generally expected to be seen in this context outside $\mathsf{Pr} \infty \mathsf{fWiki}$.


Sources

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