[seqfan] Re: Existed such number ?

[Ray Chandler]

> -----Original Message-----
> From: seqfan-bounces at list.seqfan.eu 
> [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of David Wilson
> Sent: Monday, December 29, 2008 8:59 AM
> To: Sequence Fanatics Discussion list
> Subject: [seqfan] Re: Existed such number ?
> 
> The more general question would be
> 
> For any set of primes S, is there a number that is a 
> pseudoprime to all elements of S but is not a Carmichael 
> number? I would guess yes.
> 
> If so, then it is possible to define a sequence
> 
> "Smallest non-Carmichael number pseudoprime w.r.t. all primes <= p(n)"
> 

Using the b-file from A001567, the sequence begins:

341,2701,721801,721801,42702661,1112103541,2380603501,5202153001,17231383261,251994268081,...

Ray