A 64-Million-Prime Audit of Frontier Collisions and Binary Continuations in Gilbreath Difference Triangles

This work studies collision behavior among finite frontier states extracted from normalized Gilbreath absolute-difference triangles generated from the first 64,000,000 primes. The authenticated corpus contains 9,533 frontier-evacuation events. Duplicate frontier prefixes exhibit rapid collision extinction as width increases, with unequal-future collisions falling from 495,481 at width 5 to a single pair at widths 22 and 23 and none at width 24. Within the surviving collision population, continuation values progressively concentrate on the binary alphabet {0,1}, while nonbinary continuations are preferentially eliminated. In the developed binary regime, binary-pair agreement remains near one half over widths 9–13. A simple within-prefix-class independent-draw model does not reproduce this behavior quantitatively. The study also records unsuccessful explanatory attacks and controls rather than discarding negative results. A Pascal/Lucas parity representation provides an exact algebraic interface but did not add predictive information in the frozen test. The principal results are finite computational findings. No universal width-24 theorem, asymptotic half-survival theorem, or proof of Gilbreath's conjecture is claimed.