nLab Goldbach conjecture

Contents

Contents

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

Last revised on October 3, 2018 at 08:18:13. See the history of this page for a list of all contributions to it.