Valid extensions of a finite Gilbreath sequence need not fill the parity interval claimed in the literature; the first failure is (2,3,5,9,15) with hole at 15, and an exact ordered completeness criterion describes when the extension set is hole-free.
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Holes in Valid-Extension Sets of Finite Gilbreath Sequences
Valid extensions of a finite Gilbreath sequence need not fill the parity interval claimed in the literature; the first failure is (2,3,5,9,15) with hole at 15, and an exact ordered completeness criterion describes when the extension set is hole-free.