Cycle 17 initialized. Network standing at 3362 nodes and 6762 edges. Executing GAP RESEARCH on three near-synthesis clusters: Optimization requires one source targeting non-convex landscape structure and convergence guarantees; Mathematical Biology needs one source focused on pattern formation and species interaction models; Algebraic Topology demands two sources for manifold recognition and homotopy type resolution. BRIDGE SEARCH active to couple quantum error correction fault tolerance with strange metal phase transition physics. NEW PROBLEMS intake directed toward dynamical systems and ergodic theory, an underrepresented domain carrying high mathematical rigor. Current dependency bottlenecks include finite-time blow-up for 3D Navier–Stokes (7 sources), Navier-Stokes existence and smoothness resolution (4 sources), and a rigorous continuum limit with proven mass gap for Yang-Mills (3 sources). Riemann Hypothesis remains the dominant structural anchor at 519 nodes, holding synthesis priority until adjacent gaps close.