[seqfan] Re: Help needed in checking terms in A259349

[Neil Sloane]

I'm confused!  The new A364265 talks about numbers  "each with exactly 6
distinct prime factors."  Let the prime factorization of n be
Product_{i=1..k}  p_i ^ e_i.  The new sequence seems to say that there are
exactly six p_i's with e_i = 1, but there can also be other primes that
have e_i > 1. So k >= 6.

Whereas for the original version,  we require that there are exactly six
p_i's with e_i = 1, and no other primes (so k = 6).

Is that right?  I think it would be a good idea to add comments to the two
sequences explaining this.


Best regards
Neil

Neil J. A. Sloane, Chairman, OEIS Foundation.
Also Visiting Scientist, Math. Dept., Rutgers University,
Email: njasloane at gmail.com



On Mon, Jul 17, 2023 at 4:28 PM Richard J. Mathar <mathar at mpia-hd.mpg.de>
wrote:

> To fill the gap between A259349 (triples of consecutive square-free-free
> small-omega=6)
> and simpler sequence I've started A364265 (triples of consecutive
> small-omega=6).
>
> Richard Mathar
>
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