[seqfan] Re: A236019

[Neil Sloane]

The two terms are certainly not fungible.
In this sentence  "Smallest number containing at
least n partitions that contain at least n primes."
it would sound horrible if smallest was changed to least
or vice versa!
Neil


On Sat, Jan 18, 2014 at 5:13 PM, <franktaw at netscape.net> wrote:

> I'm not sure how widely this applies, but one sometimes sees the "greatest
> prime factor" function as gpf and "least prime factor" as lpf; other times
> one sees "largest prime factor" as lpf, and "smallest prime factor" as
> "spf" The existence of both usages means that lpf by itself is ambiguous;
> thus some people use gpf and spf.
>
> Franklin T. Adams-Watters
>
>
> -----Original Message-----
> From: Kimberling, Clark <ck6 at evansville.edu>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Sent: Sat, Jan 18, 2014 3:35 pm
> Subject: [seqfan] Re: A236019
>
>
> Just a matter of idle curiosity - quite often we see "smallest" instead of
> "least".  Since they refer to the relation named "less than", why is
> "least" not
> standard?  There's probably a reason for "smaller" - can someone explain?
> Maybe, somewhere, "<" is called "smaller than"?  (Of course, we also see
> "largest" instead of "greatest", referring to the relation > usually called
> "greater than".)
>
> Thanks,
> Clark
>
>
> -----Original Message-----
> From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of jnthn
> stdhr
> Sent: Saturday, January 18, 2014 3:09 PM
> To: Sequence Fanatics Discussion list
> Subject: [seqfan] A236019
>
> Hi, all.
>
> I am proposing the new sequence A236019, "Smallest number containing at
> least n
> partitions that contain at least n primes."  The sequence begins:
> 0, 2, 5, 8, 13, 15.
>
> I am currently limited to using a cell phone as my computer.  Would
> someone be
> interested in extending this sequence?
>
> I have also submitted A235945, "Number of partitions of n containing at
> least
> one prime.", which fills the gap, so to speak, between A000041, "Number of
> partitions of n." and A000607, "Number of partitions of n into prime
> parts".
> This also needs extending.
>
> Thanks,
>
> Jonathan
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>



-- 
Dear Friends, I have now retired from AT&T. New coordinates:

Neil J. A. Sloane, President, OEIS Foundation
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com