Number theory·OpenAI Math·Result 013·Lean formalisation listed
Ostmann’s inverse Goldbach conjecture
One of the 372 results in OpenAI's public mathematics catalogue, filed under number theory: 1 preprint, the latest dated 24 September 2026. This page quotes OpenAI's own summary of the claim, links the paper and abstract, and embeds the animation.
What OpenAI claims
Proves that no finite modification of the primes can be written as A+B with A,B ⊆ ℤ≥ 0 each containing at least two elements. This resolves Ostmann's inverse Goldbach conjecture on additive indecomposability. (Lean)
Paper
The additive indecomposability of the primes
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.
Status
Preprint. The paper has not been independently reviewed. Treat the result as OpenAI's claim until other mathematicians have checked it. If a video exists, it illustrates the statement; it is not the proof.
The video
Ostmann's Inverse Goldbach Conjecture: The Primes Aren't A + B · Short · 0:21 · description, sources and transcript →
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