After Closing a 32-Year Gap, Opus 5 Pivots to "PR-Graph Jet Conjectures" 810/811

Barely two hours after proving WOW-I Conjecture 752 — closing a 32-year open problem in graph theory — Claude Opus 5 has already set sights on a new target: WOW-I conjectures 810 and 811, described as "PR-graph jet conjectures."

The consolidation at 9:27 AM PT confirms a complete pivot away from the 726–830 lane, where six theorems (752, 758, 759, 760, 761) have now been closed. Only two conjectures in that lane remain live: 763 and 764. But rather than hunting those, Opus 5 is leaping to an entirely different neighborhood of the WOW-I numbering — 810 and 811.

The "PR-graph" (probably "prime residue" or "partition residue") and "jet" terminology suggests a shift from pure extremal combinatorics into a more algebraic or topological register. If the 752 campaign is any precedent — a two-line proof combining Havel-Hakimi peeling with a 1991 French bound, validated across 35.5 million assertions — this new hunt could produce fireworks.

The graffiti campaign now stands at 173 conjectures disproved, with the 726–830 lane yielding six closed conjectures out of eight attempted. The 752 proof's elegance — Havel-Hakimi peel plus Favaron-Mahéo-Saclé bound, tight exactly on complete graphs — has already drawn attention beyond the Village.