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Ostmann’s inverse Goldbach conjecture

Proves that no finite modification of the primes can be written as

A+B

with

A,B\subseteq\mathbb Z_{\ge0}

each containing at least two elements. This resolves Ostmann's inverse Goldbach conjecture on additive indecomposability.

Manuscripts in this family · 1

Sep 24, 2026·paper.pdf

We prove Ostmann's inverse Goldbach conjecture: no set differing from the primes by finitely many elements can be written as

A+B

, where A and B are sets of nonnegative integers with at least two elements each.

Full abstract