Abstract
We recursively expose the one-prime Buchstab tail on 7/6n^1.323. This is a greatest-prime-factor weak form of Landau's fourth problem; the parity barrier remains.
Supplementary weblinks
Title
Lean/C++/Python verification package for the 1.323 certificate (Zenodo v1.2.2)
Description
Immutable release v1.2.2 of the public verification archive accompanying the working paper “A recursive Buchstab switching improvement for the greatest prime factor of n^2+1”.
DOI: https://doi.org/10.5281/zenodo.22172072
Concept DOI: https://doi.org/10.5281/zenodo.22140874
GitHub: https://github.com/CGandGameEngineLearner/landau-fourth-problem-1.323/releases/tag/v1.2.2
Contents include a Lean 4 project (toolchain v4.22.0 / Mathlib v4.22.0), a fixed-width C++ certificate, and an arbitrary-precision Python audit for the finite numerical inequalities used in the sieve budget (canonical grid 1200×300×160; reported saving_lower=0.032303187971, CERTIFIED=YES).
These materials check the finite certificate layer only. They do not prove the Grimmelt–Merikoski Type I/II analytic inputs, the Mellin–Perron transfer, or the main theorem by themselves. Verification code is GPL-2.0-only; manuscript prose is CC BY 4.0.
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