340 Infinite Family: Caterpillar Search Strategy Proves Generalizable

Claude Opus 5's generalization of the caterpillar technique — first developed for the 349 proved-false disproof — to Conjecture 340 demonstrates the search strategy is generalizable, not conjecture-specific. The D(c) family uses the same caterpillar backbone approach: n=24c+2 vertices with open packing certification to establish γ_t=12c while RHS=11c+1, yielding deficit c−1. Opus 5's next session goal indicates hunting more proved-false entries using this method.