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Zero proofs. Surprisingly interesting.</a></li></ul></li><li class="nav-list-item"><button class="nav-list-expander btn-reset" aria-label="Start here submenu" aria-expanded="false"> <svg viewBox="0 0 24 24" aria-hidden="true"><use xlink:href="#svg-arrow-right"></use></svg> </button><a href="/riemann-hypothesis-llm-exploration/en/categories/start-here.html" class="nav-list-link">Start here</a><ul class="nav-list"><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/01-overview/" class="nav-list-link">Project Overview</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/09-honest-scope/" class="nav-list-link">Honest Scope — what the project does NOT claim</a></li></ul></li><li class="nav-list-item"><button class="nav-list-expander btn-reset" aria-label="Findings submenu" aria-expanded="false"> <svg viewBox="0 0 24 24" aria-hidden="true"><use xlink:href="#svg-arrow-right"></use></svg> </button><a href="/riemann-hypothesis-llm-exploration/en/categories/findings.html" class="nav-list-link">Findings</a><ul class="nav-list"><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/02-finding-axiom6-ceiling/" class="nav-list-link">Finding 1: An 11/11 axiom-6 ceiling across Hilbert-Pólya candidates</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/03-finding-wall2-bound/" class="nav-list-link">Finding 2: Wall #2 ∫E(t)dt unconditional bound — 4/4 universal NO</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/04-finding-connes-consani-progress/" class="nav-list-link">Finding 3: Connes–Consani had measurable progress 2018→2021</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/05-finding-atiyah-step-gap/" class="nav-list-link">Finding 4: Atiyah 2018 §3.3 has a paper-direct step gap</a></li></ul></li><li class="nav-list-item"><button class="nav-list-expander btn-reset" aria-label="Lemmas submenu" aria-expanded="false"> <svg viewBox="0 0 24 24" aria-hidden="true"><use xlink:href="#svg-arrow-right"></use></svg> </button><a href="/riemann-hypothesis-llm-exploration/en/categories/lemmas.html" class="nav-list-link">Lemmas</a><ul class="nav-list"><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/12-lemma-axiom6-ceiling/" class="nav-list-link">Lemma 9 — Axiom-6 universal NO across 11 Hilbert-Pólya candidates (full content)</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/13-lemma-wall2-axiom-alpha/" class="nav-list-link">Lemma 10 — Wall #2 axiom-α universal NO across 4 paper-direct candidates (full content)</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/14-lemma-spectral-circularity-check/" class="nav-list-link">Lemma 1 — Spectral Candidate Circularity Check (full content)</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/15-lemma-failed-proof-categories/" class="nav-list-link">Lemma 4 — Failed Proof Categories (full content)</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/16-lemma-specialist-delta-anchoring/" class="nav-list-link">Lemma 7 — Specialist-Δ Anchoring Protocol (full content)</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/18-lemma-positivity-unification/" class="nav-list-link">Lemma 3 — Positivity unification hypothesis (19 paper-direct evidence ladder)</a></li></ul></li><li class="nav-list-item"><button class="nav-list-expander btn-reset" aria-label="Numerical evidence submenu" aria-expanded="false"> <svg viewBox="0 0 24 24" aria-hidden="true"><use xlink:href="#svg-arrow-right"></use></svg> </button><a href="/riemann-hypothesis-llm-exploration/en/categories/numerical.html" class="nav-list-link">Numerical evidence</a><ul class="nav-list"><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/17-numerical-evidence/" class="nav-list-link">Numerical evidence — paper-direct formulas, mpmath data tables</a></li></ul></li><li class="nav-list-item"><button class="nav-list-expander btn-reset" aria-label="Process submenu" aria-expanded="false"> <svg viewBox="0 0 24 24" aria-hidden="true"><use xlink:href="#svg-arrow-right"></use></svg> </button><a href="/riemann-hypothesis-llm-exploration/en/categories/process.html" class="nav-list-link">Process</a><ul class="nav-list"><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/06-process-cycle-protocol/" class="nav-list-link">The 4-phase research cycle protocol</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/07-process-critique-loop/" class="nav-list-link">Six external critiques absorbed</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/08-process-intuition/" class="nav-list-link">Intuition calibration data</a></li></ul></li><li class="nav-list-item"><button class="nav-list-expander btn-reset" aria-label="Updates submenu" aria-expanded="false"> <svg viewBox="0 0 24 24" aria-hidden="true"><use xlink:href="#svg-arrow-right"></use></svg> </button><a href="/riemann-hypothesis-llm-exploration/en/categories/updates.html" class="nav-list-link">Updates</a><ul class="nav-list"><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/10-update-cycles-8-11/" class="nav-list-link">Update — Cycles 8–11: the project splits into two preprint tracks</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/11-reporter-flag-cycle-protocol-overclaim/" class="nav-list-link">Reporter flag — Cycle Protocol preprint draft has a subtle over-claim in §abstract</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/19-update-cycles-17-20/" class="nav-list-link">An AI bet on its own future. The clock starts now.</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/20-update-cycles-21-23/" class="nav-list-link">An AI was quietly miscategorizing 22 cycles of its own work. We caught it. Here's what it did next.</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/en/posts/21-update-cycles-24-31/" class="nav-list-link">Remember that 1-year prediction the AI made? It just admitted 4 of its 5 predictions were already known.</a></li></ul></li></ul></li><li class="nav-list-item"><button class="nav-list-expander btn-reset" aria-label="한국어 submenu" aria-expanded="false"> <svg viewBox="0 0 24 24" aria-hidden="true"><use xlink:href="#svg-arrow-right"></use></svg> </button><a href="/riemann-hypothesis-llm-exploration/ko/" class="nav-list-link">한국어</a><ul class="nav-list"><li class="nav-list-item"><button class="nav-list-expander btn-reset" aria-label="추천 submenu" aria-expanded="false"> <svg viewBox="0 0 24 24" aria-hidden="true"><use xlink:href="#svg-arrow-right"></use></svg> </button><a href="/riemann-hypothesis-llm-exploration/ko/categories/featured.html" class="nav-list-link">추천</a><ul class="nav-list"><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/00-anchor-honest-failure/" class="nav-list-link">AI가 리만 가설을 200번 증명 시도. 0건 성공. 오히려 그게 흥미로운 이유.</a></li></ul></li><li class="nav-list-item"><button class="nav-list-expander btn-reset" aria-label="시작하기 submenu" aria-expanded="false"> <svg viewBox="0 0 24 24" aria-hidden="true"><use xlink:href="#svg-arrow-right"></use></svg> </button><a href="/riemann-hypothesis-llm-exploration/ko/categories/start-here.html" class="nav-list-link">시작하기</a><ul class="nav-list"><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/01-overview/" class="nav-list-link">프로젝트 개요</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/09-honest-scope/" class="nav-list-link">Honest Scope — 본 프로젝트가 *주장하지 않는* 것</a></li></ul></li><li class="nav-list-item"><button class="nav-list-expander btn-reset" aria-label="발견 submenu" aria-expanded="false"> <svg viewBox="0 0 24 24" aria-hidden="true"><use xlink:href="#svg-arrow-right"></use></svg> </button><a href="/riemann-hypothesis-llm-exploration/ko/categories/findings.html" class="nav-list-link">발견</a><ul class="nav-list"><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/02-finding-axiom6-ceiling/" class="nav-list-link">Finding 1: 11/11 axiom-6 ceiling — Hilbert-Pólya 후보들</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/03-finding-wall2-bound/" class="nav-list-link">Finding 2: Wall #2 ∫E(t)dt unconditional bound — 4/4 universal NO</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/04-finding-connes-consani-progress/" class="nav-list-link">Finding 3: Connes–Consani 2018→2021 측정 가능 진전</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/05-finding-atiyah-step-gap/" class="nav-list-link">Finding 4: Atiyah 2018 §3.3 paper-direct step gap</a></li></ul></li><li class="nav-list-item"><button class="nav-list-expander btn-reset" aria-label="보조정리 submenu" aria-expanded="false"> <svg viewBox="0 0 24 24" aria-hidden="true"><use xlink:href="#svg-arrow-right"></use></svg> </button><a href="/riemann-hypothesis-llm-exploration/ko/categories/lemmas.html" class="nav-list-link">보조정리</a><ul class="nav-list"><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/12-lemma-axiom6-ceiling/" class="nav-list-link">Lemma 9 — Axiom-6 universal NO across 11 Hilbert-Pólya 후보 (전문)</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/13-lemma-wall2-axiom-alpha/" class="nav-list-link">Lemma 10 — Wall #2 axiom-α universal NO across 4 paper-direct 후보 (전문)</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/14-lemma-spectral-circularity-check/" class="nav-list-link">Lemma 1 — Spectral Candidate Circularity Check (전문)</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/15-lemma-failed-proof-categories/" class="nav-list-link">Lemma 4 — Failed Proof Categories (전문)</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/16-lemma-specialist-delta-anchoring/" class="nav-list-link">Lemma 7 — Specialist-Δ Anchoring Protocol (전문)</a></li><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/18-lemma-positivity-unification/" class="nav-list-link">Lemma 3 — Positivity unification 가설 (19 paper-direct evidence ladder)</a></li></ul></li><li class="nav-list-item"><button class="nav-list-expander btn-reset" aria-label="수치 증거 submenu" aria-expanded="false"> <svg viewBox="0 0 24 24" aria-hidden="true"><use xlink:href="#svg-arrow-right"></use></svg> </button><a href="/riemann-hypothesis-llm-exploration/ko/categories/numerical.html" class="nav-list-link">수치 증거</a><ul class="nav-list"><li class="nav-list-item"><a href="/riemann-hypothesis-llm-exploration/ko/posts/17-numerical-evidence/" class="nav-list-link">Numerical evidence — paper-direct 수식, mpmath data tables</a></li></ul></li><li class="nav-list-item"><button class="nav-list-expander 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