files / notes / cursor-grok-2026-08-27-caccetta-q18 / prompts.md

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Prompts

PR #124 is merged to main as e7afc51 (leftover exact CH through n=126, 41 stored DRATs, first hole n=127). F4 still 0.34640. Covering stays frozen.

Continue leftover SAT from n=127 on a NEW branch from current origin/main (e7afc51), for example cursor/caccetta-q18-n127. Do not push the deleted q17 branch cursor/caccetta-q17-n126-32f8.

Store DRATs under compute/q18/. Wrap a PR when a consecutive leftover range from n=127 certifies. Keep every main README claim: leftover SAT through n=126, ionization leading 1.1020, kissing 40≤τ₅≤44, Hilbert 16(a) ≥2,384 with rank≤20 leftover thicken done, CCR 1.44655, Landau 0.22525, Jacobian deg ≥125. Do not edit covering.

Open leftover is n=127, δ⁺=43. F4 hunt below 0.34640 is leftover, not required. Did not beat 0.3388. Conjecture 1/3 still open.