Ostmann’s inverse Goldbach conjecture
The following describes the scope of the Lean formalization related to the following accompanying paper(s):
Scope
The formalization proves Ostmann's inverse Goldbach conjecture. For any two sets $A,B$ of nonnegative integers, each containing at least two elements, the symmetric difference between their sumset $A+B$ and the set of primes is infinite. Thus no set differing from the primes by only finitely many elements can be decomposed as such a sumset. The linked statements include the full result and its two-infinite-summands case.
Comparator links
| Result | Comparator statement |
|---|---|
| Ostmann's inverse Goldbach theorem and the infinite-summands case | OstmannComplete.lean |
| Additive indecomposability of the primes up to finite changes | OstmannPrimes.lean |