nLab Goldbach conjecture

Idea

In number theory, the Goldbach conjecture is the following conjecture.

Conjecture

Every even number greater than 2 is the sum of two prime numbers.

Properties

Relation to Bertrand’s postulate

It was observed in Ricardo 05 that the Goldbach conjecture implies a simple proof of Bertrand's postulate (which has been proven, independently of the Goldbach conjecture). See there for details.

References

• Henry J. Ricardo, Goldbach’s conjecture implies Bertrand’s postulate, Amer. Math. Monthly, 112, pg. 492, 2005

See also

• Wikipedia, Goldbach’s conjecture