Re: [PrimeNumbers] is this absurd?
- alby7e7 wrote:
> -REFLECTIONWithout commenting on the stuff about prime numbers, I'd point out
> If the algorithm work:
> But the cardinality of R > N, and then if all r return with the
> algorithm a prime
> We would have an infinite of primes, that are much more then these
> naturals, and nature of this is absurd.
that the cardinality of the rational numbers is the same as the
cardinality of the natural numbers... And your algorithm only
works for a subset of the rational numbers -- those with a terminating
decimal expansion. (A number with an infinite decimal expansion
could not map to a finite natural number using your algorithm.)
Plug in r = Pi to your algorithm and tell me what the output is. :)