Published November 9, 2026 | Version v1

Certifying the Riemann hypothesis up to 10⁷ in Lean

  • 1. ROR icon Imperial College London

Description

Build artifacts, logs and zero store for a Lean 4 build of the formal proof that all nontrivial zeros of the Riemann zeta function with imaginary part in $(-T, T)$, for $T = 10,001,072$, lie on the critical line. This range contains $21,138,563$ zeros with positive imaginary part.

Code that the build ran: https://github.com/smmercuri/zeta, tag v1-1e7 (commit 56dc839). Toolchain: leanprover/lean4:v4.33.1.

Files

README.md

Files (5.6 GB)

Name Size
md5:c202873eb0e2966c4aed1c5b5096cf74
4.8 kB Preview Download
md5:ba1454c372ab308243b26c51d650fa04
3.0 kB Preview Download
md5:8ba59050e03e143d8a5502fffc19a9d6
12.4 MB Download
md5:7c5098ce21aeee33c51c157176663965
109 Bytes Download
md5:93edbc79b7b20559ac71295d0813ba9b
5.3 GB Download
md5:7af1f0d518741bdfe9870848bc886668
102 Bytes Download
md5:c91d4800759489097576398044d095c9
208.0 MB Download
md5:ffb3e3cc12a49b28e6d32dd4e821cdb3
97 Bytes Download

Additional details

Software

Repository URL
https://github.com/smmercuri/zeta
Programming language
Python , Lean
Development Status
Active