about prime number generation

Christian Calderon calderonchristian73 at gmail.com
Sat Apr 30 21:08:25 CEST 2022

Sorry I accidentally emailed this response to Enrique alone, resending it
to the list.

I ran a script to test this. It uses a sieve of eratosthenes and generates
a list of all primes less than 0xFFFFFFFF (i.e. 2**32 - 1), and calls
nextprime to see if the result is equal to the next prime in the list. It
passed for every prime in the list, nextprime(p[i]) == p[i+1].

~ Christian Calderon

On Sat, Apr 30, 2022 at 6:19 AM Garcia Moreno-Esteva, Enrique <
enrique.garciamoreno-esteva at helsinki.fi> wrote:

> Hello,
> I apologize this is not a comment about your webpage, but more a question
> about your library. Would your library contain a function (call it p(n) )
> that generates the n-th prime? If it does not, alternatively, do you have a
> lower bound for  certifiably producing the next prime with the nextprime
> function in your library (it is probabilistic, but such probabilistic
> methods are deterministic below certain bounds, so my question is, what is
> the lower bound for your function)?
> I thank you in advance for your help.
> Enrique Garcia Moreno-Esteva
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