A096274: checking/more terms

Robert G. Wilson v rgwv at rgwv.com
Fri Nov 16 13:10:53 CET 2007


Dear Zak,

	Very nice job.

Sequentially yours, Bob.

zak seidov wrote:

> A096274: checking/more terms
> 
> Neil, Bob, Jim, seqfans,
> 
> I've checked (and re-checked) terms in A096274 and
> found them OK:
> 
> %S A096274
> 2,8,13,20,25,595,1044,7932,74247,14693476,16766626,24072338,72643740,
> 1881945888,3304284638,5163731431. 
> 
> Also, I'd found three more terms:
> 5669949197, 16209038688, 23714508404.
> 
> Some C++/PARI gurus
> may wish to check the last three terms 
> (and find more).
> Thanks, Zak 
> 
> 
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> 



Artur <grafix at csl.pl> wrote:
:Who is able to proove conjecture from
:A13464  <http://www.research.att.com/%7Enjas/sequences/A134641> ?
:ARTUR

Each entry of A134640, represented in the appropriate base k, has sum
of digits k(k-1)/2, and is therefore divisible by either k-1 or (k-1)/2.
When k > 3, this ensures that it is not prime, so the only candidates
for primes are a(1) .. a(9).

Hugo





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