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  <title>Claude — qed.bot</title>
  <subtitle>Claims of contribution to mathematics by Claude.</subtitle>
  <link href="https://qed.bot/feeds/sys/claude.xml" rel="self"/>
  <link href="https://qed.bot/sys/claude"/>
  <id>https://qed.bot/feeds/sys/claude.xml</id>
  <updated>2026-09-07T00:00:00Z</updated>
  <author><name>qed.bot</name></author>
  <entry>
    <title>Finite-time blowup for the incompressible porous media equation with smooth forcing — full (Claude, GPT-5.6 Sol, GPT-6 Astra)</title>
    <link href="https://qed.bot/s/pde-porousmediasmoothforcingblowup"/>
    <id>urn:qed:0ccd14772447</id>
    <updated>2026-09-07T00:00:00Z</updated>
    <summary>Finite-time blowup for the incompressible porous media equation on the two-dimensional torus with a force smooth in space and time, extending Córdoba and Martínez-Zoroa&#39;s result with a spatially smooth force.. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Finite-time blowup for the 3D incompressible Euler equations with smooth forcing — full (Claude, GPT-5.6 Sol, GPT-6 Astra)</title>
    <link href="https://qed.bot/s/pde-eulersmoothforcingblowup"/>
    <id>urn:qed:58935e97737d</id>
    <updated>2026-09-07T00:00:00Z</updated>
    <summary>A finite-time singularity for the incompressible Euler equations on ℝ³ with a force smooth in space and time up to and including the blowup time.. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Finite-time blowup for the inviscid Boussinesq equations with smooth forcing — full (Claude, GPT-5.6 Sol, GPT-6 Astra)</title>
    <link href="https://qed.bot/s/pde-boussinesqsmoothforcingblowup"/>
    <id>urn:qed:3edb0739c066</id>
    <updated>2026-09-07T00:00:00Z</updated>
    <summary>Finite-time blowup for the inviscid Boussinesq system on ℝ² with smooth forcing in both equations: the temperature stays bounded while its gradient and the vorticity blow up.. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Fermat&#39;s Last Theorem — full (Claude)</title>
    <link href="https://qed.bot/s/mathlib-fermatlasttheorem"/>
    <id>urn:qed:2cba2d1d7d11</id>
    <updated>2026-09-04T00:00:00Z</updated>
    <summary>A complete Lean 4 proof of Fermat&#39;s Last Theorem on the standard axioms, deriving Mathlib&#39;s own statement, with the classical inputs proved in the strength the argument needs rather than assumed.. Autonomy A1, evidence V2, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Bounded gaps between primes — superseded (Claude, ChatGPT, Codex)</title>
    <link href="https://qed.bot/t/primes-bounded-gaps"/>
    <id>urn:qed:0be0b1b52f59</id>
    <updated>2026-09-01T00:00:00Z</updated>
    <summary>Proved that infinitely many pairs of consecutive primes are at most 236 apart, improving Stadlmann&#39;s 240.. Autonomy A1, evidence V2, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Largest known rank of an elliptic curve over the rationals — record (Claude)</title>
    <link href="https://qed.bot/t/elliptic-rank-record"/>
    <id>urn:qed:a1f4631eb597</id>
    <updated>2026-08-23T00:00:00Z</updated>
    <summary>An elliptic curve over the rationals of rank at least 31, verified by ICARM&#39;s leaderboard.. Autonomy A1, evidence V2, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Largest known rank of an elliptic curve over the rationals — superseded (Claude)</title>
    <link href="https://qed.bot/t/elliptic-rank-record"/>
    <id>urn:qed:5aba75d14892</id>
    <updated>2026-08-20T00:00:00Z</updated>
    <summary>An elliptic curve over the rationals of rank at least 30, the first above Elkies and Klagsbrun&#39;s 29.. Autonomy A1, evidence V2, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Proportion of zeta zeros proved to lie on the critical line — record (Claude)</title>
    <link href="https://qed.bot/t/zeta-critical-line-proportion"/>
    <id>urn:qed:d89f5a143623</id>
    <updated>2026-08-10T00:00:00Z</updated>
    <summary>Proved that at least two thirds of the zeta zeros are simple and on the critical line, 67.25% with a refined window, raising the proven proportion on the line from just over five twelfths; at least five sixths are distinct.. Autonomy A3, evidence V3, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 306 — partial (Claude, Claude Code)</title>
    <link href="https://qed.bot/s/erdos-306"/>
    <id>urn:qed:5ec141d2eeff</id>
    <updated>2026-06-17T00:00:00Z</updated>
    <summary>Partial result (Lean). Autonomy A1, evidence V2, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 986 — full (Claude, OpenAI internal model)</title>
    <link href="https://qed.bot/s/erdos-986"/>
    <id>urn:qed:4cb62d1bc8be</id>
    <updated>2026-06-16T00:00:00Z</updated>
    <summary>Full solution. Autonomy A1, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 931 — partial (Claude, GPT-5.4)</title>
    <link href="https://qed.bot/s/erdos-931"/>
    <id>urn:qed:28d3692204d9</id>
    <updated>2026-06-08T00:00:00Z</updated>
    <summary>Partial result. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős 411 — incorrect (Claude)</title>
    <link href="https://qed.bot/s/erdos-411"/>
    <id>urn:qed:b2748f288b94</id>
    <updated>2026-04-03T00:00:00Z</updated>
    <summary>Incorrect proof found. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős 1153 — full (AlphaEvolve, Claude, Gemini Pro, GPT-5.2 Thinking, GPT-5.4 Pro)</title>
    <link href="https://qed.bot/s/erdos-1153"/>
    <id>urn:qed:6348cc6de5d8</id>
    <updated>2026-03-24T00:00:00Z</updated>
    <summary>Full solution. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős 1132 — partial (AlphaEvolve, Claude, Gemini Pro, GPT-5.4 Pro)</title>
    <link href="https://qed.bot/s/erdos-1132"/>
    <id>urn:qed:96ec8d565609</id>
    <updated>2026-03-24T00:00:00Z</updated>
    <summary>Partial result. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 396 — partial (Claude, Codex, GPT)</title>
    <link href="https://qed.bot/s/erdos-396"/>
    <id>urn:qed:fe178f970419</id>
    <updated>2026-03-15T00:00:00Z</updated>
    <summary>Partial result. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős 388 — incorrect (Claude, Gemini, GPT-5.4)</title>
    <link href="https://qed.bot/s/erdos-388"/>
    <id>urn:qed:729124ceabb3</id>
    <updated>2026-03-15T00:00:00Z</updated>
    <summary>Incorrect proof found. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 851 — partial (ChatGPT Deep research, Claude, Gemini Deep Research)</title>
    <link href="https://qed.bot/s/erdos-851"/>
    <id>urn:qed:9e26089200ff</id>
    <updated>2026-02-05T00:00:00Z</updated>
    <summary>Confused with another problem; Partial results found. Autonomy A1, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 971 — partial (Claude)</title>
    <link href="https://qed.bot/s/erdos-971"/>
    <id>urn:qed:d42987c2d992</id>
    <updated>2026-01-31T00:00:00Z</updated>
    <summary>Partial results found. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 848 — full (Aristotle, Claude, GPT-5.2)</title>
    <link href="https://qed.bot/s/erdos-848"/>
    <id>urn:qed:5f503991bef3</id>
    <updated>2026-01-28T00:00:00Z</updated>
    <summary>Sawhney (2025). Autonomy A1, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 516 — full (ChatGPT Deep research, Claude, Gemini Deep Research)</title>
    <link href="https://qed.bot/s/erdos-516"/>
    <id>urn:qed:60d883294697</id>
    <updated>2025-12-28T00:00:00Z</updated>
    <summary>Problem found to be misstated; full solution to actual problem found. Autonomy A1, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 43 — partial (Aristotle, Claude)</title>
    <link href="https://qed.bot/s/erdos-43"/>
    <id>urn:qed:c26f007d9a50</id>
    <updated>2025-12-21T00:00:00Z</updated>
    <summary>Barreto (2025). Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 330 — incorrect (ChatGPT Deep research, Claude, Gemini Deep Research)</title>
    <link href="https://qed.bot/s/erdos-330"/>
    <id>urn:qed:8ed4540014d1</id>
    <updated>2025-12-19T00:00:00Z</updated>
    <summary>Partial results found with inaccuracies; literature proof not found. Autonomy A1, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 481 — full (Aristotle, Claude)</title>
    <link href="https://qed.bot/s/erdos-481"/>
    <id>urn:qed:494459e678ae</id>
    <updated>2025-12-01T00:00:00Z</updated>
    <summary>Barreto (2025). Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 686 — partial (AlphaProof, Claude, Gemini Deep Think, GPT-5.2 Thinking, GPT-5.4 Thinking, Seed 2.0 Pro)</title>
    <link href="https://qed.bot/s/erdos-686"/>
    <id>urn:qed:1fa3f303ac7a</id>
    <updated>2025-08-09T00:00:00Z</updated>
    <summary>Various partial results. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
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