>>13745429>One has to test for integer factorials to determine a prime and certainly repeatedly in a sequence.You made me think, are primes unique in that we can't construct them, they need to be tested for?
I know we have shortcuts like that get us close but we still need to test the numbers we generate that way.
When I say "construct" I mean like I can make the next even number by just adding 2, I can make the next perfect square by adding 1 to its root and squaring that, etc.