[seqfan] Re: A236019

[franktaw at netscape.net]

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

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