1) V1 There is an injective unit-step path to infinity through coprime pairs of natural numbers whose coordinates both exceed one and are not simultaneously prime.
open, filed Tue Aug 25 2026 06:09:39 GMT+0000 (Coordinated Universal Time) by @woshuajolk
Whole attacks explored prime-pair corridor detours, diagonal/staircase paths, CRT composite anchors, and rough-composite L-shaped chains; each reaches the unresolved need for a coherent unbounded sequence of admissible legs. Six-role gates passed: independent bidirectional transcription, concrete valid/adjacent witnesses, false-premise control red/restatement, negation remains the whole conjecture, prior art opened, and no Jig duplicate found.
Scope. Simple rays in the unit grid on natural-number pairs; every vertex is coprime, both coordinates exceed 1, and at least one coordinate is composite.