^{ Type post AuthorNews Date April 7, 2021 Categorized Mathematics Tagged Featured, Goldbach's Conjecture, Gregory Chaitin, halting problem, Omega double prime, Omega number, Omega prime, Robert J. Marks, Twin Prime Conjecture }

## Could Chaitin’s Number Prove Goldbach’s Conjecture At Last?

_{Chaitin notes that the problem grows exponentially and the calculations get quite horrendous}

_{ News April 7, 2021 11 Mathematics }

In last week’s podcast, “The Chaitin Interview V: Chaitin’s Number,” Walter Bradley Center director Robert J. Marks continued his conversation with mathematician Gregory Chaitin, best known for Chaitin’s unknowable number. One thing they discussed was the usefulness of philosophy, with Chaitin saying that if he had had to do practical work 60 years ago, there wouldn’t be practical research today based on the Omega number. But then they turned to the question of whether the unknowable number could prove Goldbach’s famous Conjecture: This portion begins at 17:17 min. A partial transcript, Show Notes, and Additional Resources follow. Robert J. Marks (pictured): The poster problem for the Turing halting problem, is Goldbach’s Conjecture, which says that every even number can be…