# Axiom Math says it formalized a 246 prime-gap bound in Lean

_Wednesday, August 19, 2026 at 3:43 AM EDT · AI, Science · Latest · Tier 2 — Notable_

![Axiom Math says it formalized a 246 prime-gap bound in Lean — Primary](https://officechai.com/wp-content/uploads/2026/01/1764704989575.jpg)

Axiom Math says its AxiomProver system produced a machine-checked Lean formalization of the BGP246 theorem, a result concerning bounded gaps between primes, and released an open-source supporting library called PrimeGapsLib. The source says the formalization is conditional on the Bombieri-Vinogradov theorem and that the library depends on Mathlib and the PNT+ project. Axiom Math says it designed the components for reuse in future prime-gap work.

## Sources

- [OfficeChai](https://officechai.com/ai/ai-startup-axiom-math-formalizes-the-closest-proof-yet-to-the-twin-prime-conjecture/)

---
Canonical: https://techandbusiness.org/newswire/26I0kVfEZXiaIejtX4BrQ3
Retrieved: 2026-08-19T10:06:46.558Z
Publisher: Tech & Business (techandbusiness.org)