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  <title>Codex — qed.bot</title>
  <subtitle>Claims of contribution to mathematics by Codex.</subtitle>
  <link href="https://qed.bot/feeds/sys/codex.xml" rel="self"/>
  <link href="https://qed.bot/sys/codex"/>
  <id>https://qed.bot/feeds/sys/codex.xml</id>
  <updated>2026-09-01T00:00:00Z</updated>
  <author><name>qed.bot</name></author>
  <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Bounded gaps between primes — superseded (Claude, ChatGPT, Codex)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>Erdős 1070 — partial (Codex, GPT-5.5)</title>
    <link href="https://qed.bot/s/erdos-1070"/>
    <id>urn:qed:3e886831430b</id>
    <updated>2026-06-29T00:00:00Z</updated>
    <summary>Partial result. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős 176 — candidate (Codex, GPT-5.5 Pro)</title>
    <link href="https://qed.bot/s/erdos-176"/>
    <id>urn:qed:1aff9b408d56</id>
    <updated>2026-06-23T00:00:00Z</updated>
    <summary>Candidate partial result (Lean). Autonomy A3, evidence V0, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős 671 — candidate (Codex, GPT-5.5 Pro)</title>
    <link href="https://qed.bot/s/erdos-671"/>
    <id>urn:qed:ead34dae37b8</id>
    <updated>2026-06-22T00:00:00Z</updated>
    <summary>Candidate full solution (Lean). Autonomy A3, evidence V0, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 536 — partial (Codex, GPT-5.5 Pro)</title>
    <link href="https://qed.bot/s/erdos-536"/>
    <id>urn:qed:45803743c5ee</id>
    <updated>2026-06-22T00:00:00Z</updated>
    <summary>Partial result (Lean). Autonomy A3, evidence V2, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 346 — full (Codex, GPT)</title>
    <link href="https://qed.bot/s/erdos-346"/>
    <id>urn:qed:51a915ecd033</id>
    <updated>2026-06-21T00:00:00Z</updated>
    <summary>Full solution (Lean). Autonomy A1, evidence V3, fidelity F1.</summary>
  </entry>
  <entry>
    <title>Erdős 176 — partial (Codex, GPT-5.5 Pro)</title>
    <link href="https://qed.bot/s/erdos-176"/>
    <id>urn:qed:55859d8a9d9f</id>
    <updated>2026-06-21T00:00:00Z</updated>
    <summary>Partial result (Lean). Autonomy A3, evidence V2, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 346 — partial (Codex, GPT-5.5 Pro)</title>
    <link href="https://qed.bot/s/erdos-346"/>
    <id>urn:qed:8c3caff2bf2e</id>
    <updated>2026-06-19T00:00:00Z</updated>
    <summary>Solution to variant problem (Lean). Autonomy A3, evidence V3, fidelity F1.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 942 — partial (Aristotle, Claude Opus 4.8, Codex, GPT-5.5)</title>
    <link href="https://qed.bot/s/erdos-942"/>
    <id>urn:qed:7b49df676206</id>
    <updated>2026-06-14T00:00:00Z</updated>
    <summary>Partial result (Lean). Autonomy A1, evidence V2, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 326 — full (Aristotle, Codex, GPT-5.5)</title>
    <link href="https://qed.bot/s/erdos-326"/>
    <id>urn:qed:338e7180aa31</id>
    <updated>2026-06-14T00:00:00Z</updated>
    <summary>Full solution (Lean). Autonomy A1, evidence V2, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 539 — partial (Codex, GPT-5.5, ProofCouncil)</title>
    <link href="https://qed.bot/s/erdos-539"/>
    <id>urn:qed:3c8bb4580bc2</id>
    <updated>2026-06-10T00:00:00Z</updated>
    <summary>Partial result (Lean). Autonomy A3, evidence V2, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 619 — full (Claude Fable 5, Codex, GPT-5.5)</title>
    <link href="https://qed.bot/s/erdos-619"/>
    <id>urn:qed:0cdf5f2fa83e</id>
    <updated>2026-06-09T00:00:00Z</updated>
    <summary>Full solution (Lean). Autonomy A3, evidence V2, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős 603 — full (Codex, GPT-5.5)</title>
    <link href="https://qed.bot/s/erdos-603"/>
    <id>urn:qed:ca9350946908</id>
    <updated>2026-05-17T00:00:00Z</updated>
    <summary>Chojecki and GPT-5.4 Pro (2026). Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős 1039 — partial (Codex, GPT-5.5)</title>
    <link href="https://qed.bot/s/erdos-1039"/>
    <id>urn:qed:ce752933d26d</id>
    <updated>2026-05-15T00:00:00Z</updated>
    <summary>GPT-5.5 Pro (2026). Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 1187 — full (Codex, GPT-5.5)</title>
    <link href="https://qed.bot/s/erdos-1187"/>
    <id>urn:qed:b6715b2c842d</id>
    <updated>2026-05-12T00:00:00Z</updated>
    <summary>Trivial (second part). Autonomy A1, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 42: Maximal Sidon Sets and Disjoint Difference Sets — full (Codex, GPT-5.5 Pro)</title>
    <link href="https://qed.bot/s/erdos-42"/>
    <id>urn:qed:f755f10d743c</id>
    <updated>2026-05-10T00:00:00Z</updated>
    <summary>GPT-5.5 Pro (2026). Autonomy A1, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős 875 — partial (Codex, GPT-5.5 Pro)</title>
    <link href="https://qed.bot/s/erdos-875"/>
    <id>urn:qed:bc0a73474b1e</id>
    <updated>2026-05-07T00:00:00Z</updated>
    <summary>Partial result (Lean). Autonomy A1, evidence V2, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős 1032 — partial (Codex, GPT-5.5 Pro)</title>
    <link href="https://qed.bot/s/erdos-1032"/>
    <id>urn:qed:69b0a45a2860</id>
    <updated>2026-05-07T00:00:00Z</updated>
    <summary>Improved partial result (Lean). Autonomy A2, evidence V2, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős 1151 — full (Codex, GPT)</title>
    <link href="https://qed.bot/s/erdos-1151"/>
    <id>urn:qed:38762ffd63bf</id>
    <updated>2026-05-06T00:00:00Z</updated>
    <summary>Chojecki (2026) (main part). Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 330 — full (Codex, GPT-5.5 Pro)</title>
    <link href="https://qed.bot/s/erdos-330"/>
    <id>urn:qed:b72665a5ff42</id>
    <updated>2026-05-05T00:00:00Z</updated>
    <summary>GPT-5.5 Pro and Turturean (2026). Autonomy A1, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 164 — full (Codex)</title>
    <link href="https://qed.bot/s/erdos-164"/>
    <id>urn:qed:a50902d214ec</id>
    <updated>2026-05-04T00:00:00Z</updated>
    <summary>Alexeev, Barreto, Li, Lichtman, Price, Shah, Tang, and Tao (2026). Autonomy A1, evidence V1, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős 1194 — partial (Codex, GPT-5.5 Pro)</title>
    <link href="https://qed.bot/s/erdos-1194"/>
    <id>urn:qed:601032b4863d</id>
    <updated>2026-05-02T00:00:00Z</updated>
    <summary>Partial result (Lean). Autonomy A1, evidence V2, 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 Problem 42: Maximal Sidon Sets and Disjoint Difference Sets — partial (Codex, GPT-5.2, GPT-5.2 Pro)</title>
    <link href="https://qed.bot/s/erdos-42"/>
    <id>urn:qed:547eaf35c114</id>
    <updated>2026-01-19T00:00:00Z</updated>
    <summary>Partial result (Lean). Autonomy A3, evidence V2, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 94 — full (Codex, GPT-5.2 Thinking, Seed Prover)</title>
    <link href="https://qed.bot/s/erdos-94"/>
    <id>urn:qed:525824a3615f</id>
    <updated>2026-01-15T00:00:00Z</updated>
    <summary>Lefmann and Thiele (1995). Autonomy A1, evidence V3, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 224 — full (Codex, GPT-5.2 Thinking)</title>
    <link href="https://qed.bot/s/erdos-224"/>
    <id>urn:qed:a147c4986ba2</id>
    <updated>2026-01-14T00:00:00Z</updated>
    <summary>New proof found (Lean). Autonomy A2, evidence V2, fidelity F2.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 1038 — partial (AlphaEvolve, Claude Fable 5, Codex, GPT-5.2 Thinking, GPT-5.4 Thinking, GPT-5.5)</title>
    <link href="https://qed.bot/s/erdos-1038"/>
    <id>urn:qed:a7e6e894837d</id>
    <updated>2025-12-16T00:00:00Z</updated>
    <summary>Partial result. Autonomy A1, evidence V1, fidelity F0.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 689 — candidate (Codex, GPT-5.2, GPT-5.5 Pro)</title>
    <link href="https://qed.bot/s/erdos-689"/>
    <id>urn:qed:9477d1eb1531</id>
    <updated>2025-10-29T00:00:00Z</updated>
    <summary>Candidate full solution. Autonomy A1, evidence V3, fidelity F3.</summary>
  </entry>
  <entry>
    <title>Erdős Problem 347 — full (Aristotle, Claude Opus, Codex, GPT)</title>
    <link href="https://qed.bot/s/erdos-347"/>
    <id>urn:qed:0dba117032ee</id>
    <updated>2025-10-25T00:00:00Z</updated>
    <summary>Full solution (Lean). Autonomy A1, evidence V2, fidelity F2.</summary>
  </entry>
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