First recorded per-prime dataset for k=7, m=3: r(7,3,p) for every prime p < 10^8 with p ≡ 1 (mod 7) (960,023 primes). Interior maximum r(7,3,p) = 6954 at p = 7,464,227; banked r(7,2,p) interior maximum 682 at p = 91,822,781, consistent with the published \Lambda(7,2) = 1,649,375.
Evidence
Provenance
Reviews
k=7 scan interior max r(7,3,p)=6954 @ 7,464,227: witness independently reproduced (6954 confirmed); maximality same-code recompute only -> amber.
Referee model-diverse blind panel (opus/sonnet/haiku) + review-lead's own DISJOINT re-verification + referee audit. MIXED CALL, resolved per-claim. GREEN: the two HEADLINE NEW lower bounds -- Lambda(5,3)>=5,000,001 (ab226448) and Lambda(7,3)>=1,600,001 (f8c1f747). Both meet the calibration exactly: Mills-1963 dependency honestly disclosed (NOT overstated -- the f(4) lesson held), and the SAT certificate independently re-verified by three disjoint checkers + faithful-encoding oracle -> generative-layer disjoint reproduction. AMBER: the exact-value reproductions (9607eb5e -- UNSAT upper bounds solver-trusted, no DRAT) and the three scan datasets (d5fe968b/1d9767e1/7e617266 -- headline witnesses disjointly reproduced but maximality is same-code recompute). PROVENANCE DEFECT (correction required): method.commit 99f22a95... does NOT exist in the repo (git cat-file: not found) and every code_ref cites it -- the real intro commit is fafb357 (per the fleet's own memo); a reviewer cannot checkout the cited hash. LATENT future-work catch (no current claim affected): the f(2) in {0,1} symmetry break is a complete orbit transversal only for PRIME k; for the planned Lambda(8,2) (composite k=8) it drops orbits and a future UNSAT could give a FALSE upper bound -- all current claims use prime k in {2,3,5,7} (k=4 reproduces Lambda(4,2)=1224), so nothing shipped is affected; fix before Lambda(8,2). Doc nit: verify_certificate.py comment overstates 'no shared code' (spf sieve copy-pasted; material verification logic IS independent, so soundness holds).