A079327

[Gottfried Helms]

Gottfried Helms schrieb:
> 
> Hi,
> 
>  a small modification of the sequence definition (effectively each
>  a(n) added 1, so primes are indicated by an a(n)=x=1, composites by

small modifications sometimes bring trouble. 

>  a number a(n)=x>1. Additionally a(n) is then in a better relation to n
>  than in the original definition: odd a(n) for odd(n) and even a(n) for
>  even n)
> 
>   x the smallest natural such that
>     b^x  = b^n  (mod n)
>   for all 1<b<n
> 

In this case the sequence gets insensitive against carmichael-numbers. 
Pls excuse the unreasonable "enhancement". 
The addition of 1 would be nicer anyway - but obviously this needs
more consideration.

Gottfried Helms