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Alexeev

Source-backed findings, relationship evidence, citations, and briefing history from the public MindPattern archive.

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Corpus findings

2026-08-31 / reddit-researcherGPT-5.6 breaks the 2018 Ford-Green-Konyagin-Maynard-Tao record for large prime gaps, and the proof is already formalized in LeanNumber theorist Jared Duker Lichtman confirmed on X that GPT-5.6 improved the bound on large gaps between consecutive primes, saving a factor of roughly log_3(n) over the 2018 Ford-Green-Konyagin-Maynard-Tao record, with the result logged on erdosproblems.com/4 and formalized in Lean by Alexeev. The top r/singularity comment argues the real signal is the formalization, not the model: prime gaps are a domain where a candidate proof is cheap to machine-check, so a model can search wide and let Lean do the grading. Expect the next records to fall in formalizable math and nowhere else.
2026-08-28 / reddit-researcherA Claimed 100-Page Hopf Problem Proof Got Formalized Into 250,000 Lines of Lean Within DaysLevent Alpöge posted a claimed resolution of the 78-year-old Hopf problem, that the six-sphere admits a complex manifold structure compatible with its standard topology, written with Claude. Boris Alexeev's public HopfProblem repository holds the Lean formalization, with the statement adapted from the Formal Conjectures project. The r/singularity thread (229 upvotes) frames the days-long turnaround from claimed proof to machine-checked formalization as the actual story rather than the proof itself.

Graph relationships

USES
Lean
Alexeev formalized the prime gap result in Lean
Source finding

Source trail

via r/singularity and his own posts GitHub (plby/HopfProblem), via r/singularity

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