Originally posted by kerimek
Does exist any proof that prime numbers cannot be generated sequentially without jump across any one? And which is cardinality of prime numbers set? Is the set "the smallest" infinite set?

The cardinality of the prime numbers is aleph0, there exists a bijection with the Natural Numbers. I once sugested this exact conjecture with an old professor of mine and recieved a rigorus lashing on how math isn't relegion. Ha!