[seqfan] Re: A236019

[Kimberling, Clark]

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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