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Topic:
Are these numbers always prime?
Replies:
3
Last Post:
Nov 21, 2000 5:33 PM



r3769
Posts:
30
Registered:
12/12/04


Re: Are these numbers always prime?
Posted:
Nov 19, 2000 5:14 PM


r3769 wrote:
>Suppose n and b are positive integers. Set x[0]=(n1)/n and recursively >compute: > > x[i+1]=x[i]*ceil(b*x[i])b
I meant to write: x[i+1]=x[i]*ceil(b/x[i])b
> >until x[i+1]=0. > >Now set l(b,n)=i+1. For example, l(2291,11)=10. > >Empirical evidence suggests: if l(b0,n)=n1 then there exists a c0 s.t. >l(b0+c0*k,n)=n1 for k>0. > >Examples: > l(423953,17)=16, c0=720720 > l(2579419,19)=18, c0=17*720720 > l(30364247,23)=22, c0=19*17*720720 > >Consider the set Q={n:l(b,n)=n1 for some b}. Are these numbers always >prime?
Yes, of course. What I wanted to ask was if all primes are in Q.
R.



