Mathematical logic. The simplest definition that describes the case is the preferred one. "Primes are any number that can be divided evenly only by itself and one". This satisfies the "simple case" requirement defining primes and includes one.

A complication added "any non sequential number that can be divided evenly only by itself and one". prohibits 1 2 and 3 from being prime. But there is no mathematical logic for the "non sequential" complication (except to illogicly prohibit 1 2 and 3 from being prime.

There is no mathematical logic to the complications of definition by adding , "whole, distinct, natural numbers" or other complications to the simple definition that defines the case of primes (except to illogicly prohibit one from being prime).

There may be a mathematicaly logical use for a complication in definition to illustrate a mathematical point, define a mathematical case or concept or illustrate a theory. I made use of a more complicated definition to illustrate this point in mathematical logic myself in paragraph two above. But this does not mean that having a use for a more complicated definition makes the more complicated definition the preferred one.