Clustering Corrections to Primordial Black Hole Abundance Bounds

Almost every abundance bound in the primordial black hole literature is derived as if the holes were distributed smoothly, or at most Poisson-randomly, through the dark matter halo. Formation physics does not promise that. The headline computed values are: lens relax N1000 = 5.62; merge tight N1000 = 31.6. All quantities are computed from the stated assumptions; nothing in the study is a measurement, and the full calculation is deposited for independent checking.