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Mathematicians prove W(2;3,21) = 416 with Lean 4 kernel-checked proof

By PulseAugur Editorial · [1 sources] ·

A significant mathematical conjecture, W(2;3,21) = 416, has been proven using a formal verification system called Lean 4. This proof, which was kernel-checked, addresses a problem posed by Kullmann in 2010 and was previously listed as open on DeepMind's Formal Conjectures list. The proof involved over 209 cases and millions of formulas, with verification performed by the LRAT checker cake_pr. AI

IMPACT Demonstrates the increasing capability of formal verification systems in proving complex mathematical theorems.

RANK_REASON Proof of a mathematical conjecture using formal verification tools. [lever_c_demoted from research: ic=1 ai=0.7]

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AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Mathematicians prove W(2;3,21) = 416 with Lean 4 kernel-checked proof

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Proof of a mathematical conjecture using formal verification tools. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. r/MachineLearning TIER_1 English(EN) · /u/Rodriguez909 ·

    W(2;3,21) = 416 - a van der Waerden number conjectured by Kullmann in 2010, now proved with a Lean 4 kernel-checked proof [R]

    <!-- SC_OFF --><div class="md"><p><strong>w(2;3,21) = 416 - today proved with a Lean 4 kernel-</strong><br /> <strong>checked proof</strong> (preprint + 13.6 GB evidence package).</p> <p>Every red-blue colouring of {1, ..., 416} contains a red 3-term or a blue 21-term arithmetic …

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