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Gauss: AI-assisted strong prime number theorem formalization

Math, Inc.

Progress records 1

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1 record · How we rate progress

Understanding the problem

Read the background

Math, Inc. reports completion of a Lean formalization of the strong prime number theorem and supporting complex-analysis infrastructure using Gauss with human guidance.

Why it matters

A substantial formal development and reusable analytic infrastructure merit inclusion even though the underlying mathematical theorem is known.

What counts as progress

A sourced result with the exact hypotheses, baseline, and AI role stated; verification is assessed separately.

What to watch for

  • Compare the precise theorem and hypotheses with the previous baseline.
  • Read the checking scope and retain human and prior-work attribution.

Background review: 2026-10-11. Selected sources:

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