On the Frame-Dependence of Primality: A Companion Re-examination of the Unit, the Fraction, and the Collapse to the First Three Integers

This paper examines the frame-dependence of primality as a companion to a prior re-examination of the perfect number problem. It argues that the classical definition of prime inherits two prior restrictions from the historical definition of number: the exclusion of the fraction and the exclusion of the unit. Applying the no-discrimination, ordinal-continuous frame to the classical definition without altering it, the paper obtains the surviving pair {1, 2}, while unrestricted continuous admission dissolves primality altogether. It then introduces a separate emergence construction, explicitly distinguished from the classical definition, under which 2 alone occupies the prime position and the first three integers separate as unit, prime, and perfect.