primes less than n and relatively prime to n

[Hans Havermann]

I don't see in OEIS [n/2] + [n/3] + [n/5].
which if I've done this right by hand begins for n = 1,2,3,...:
0, 1, 2, 3, 4, 6, 6, 7, 7, 10, 10, 12, 12, 13, 15, 16, 16, 18, 18, 20, ...

There are an infinite number of such sequences.  This is vaguely
related to A008615 [n/2] - [n/4].

I can't tell is this is artificial, or an interesting part of the
supersequence which also includes, for instance:

2 | [n/2] + [n/3]
3 | [n/2] + [n/3] + [n/5]
4 | [n/2] + [n/3] + [n/5] + [n/7]
5 | [n/2] + [n/3] + [n/5] + [n/7] + [n/11]
6 | [n/2] + [n/3] + [n/5] + [n/7] + [n/11] + [n/13]



Doesn't this seem like an awful lot of very random messages to a 
large list in order resolve what seems to be a very small confusion?

I apologize I don't have time to carefully thread through all the 
nearly indecipherable postings trying to decode mysteries like what 
"A....." refers to, "proofs" without a clear statement of any 
theorem, critiques of documentation for programming languages, 
etc--so I might have missed something.

Nonetheless from just a cursory reading it seems clear--since SOME 
primes less than n are NOT relatively prime to n (for example p=5, 
n=100)--the qualifying clause in the subject line should be a 
perfectly reasonable and necessary condition for a sequence.

Don't you think that simply the number of times it appears in the 
OEIS *might* indicate that it's saying something legitimate, whose 
meaning might be extracted with just a little mental effort?

So why are we making everybody read a zillion crazy postings about this?

Maybe there needs to be a separate discussion group or something for 
this kind of traffic?  Or else maybe we could exercise a bit more 
restraint and/or engage in more 1-on-1 communications and/or simply 
invest more thought before sending mail?

I'm usually content to simply delete these kinds of messages, but I'm 
beginning to see why that overhead might be driving people 
away.  Please, folks, let's do better.

Thanks!

(PS Apologies also if these suggestions have already been discussed 
to death--I probably deleted those threads too!<;-)