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Re: cotpi 41 - Counting locally prime numbers
Posted:
Feb 28, 2012 10:54 AM
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Tonico wrote: ) On Feb 27, 9:07?pm, "Mike Terry" )<news.dead.person.sto...@darjeeling.plus.com> wrote: )> "Tonico" <Tonic...@yahoo.com> wrote in message )> news:f3c955d7-13fd-4f4a-bdcd-411c06f2c280@do4g2000vbb.googlegroups.com... )> > On Feb 27, 8:50 am, cotpi <puzz...@cotpi.com> wrote: )> ... )> )> > > Let A be a set of 10 consecutive integers. Let B be a subset of A such )> > > that every element in A that is coprime to every other element in A is )> > > present in B. What are the possible values for the cardinality of B? )> )> > > I hope this helps. )> )> > > cotpi )> )> > Take the set A:= {10, 11,..., 19} . As with any other of the given )> > characteristics, it has exactly 5 even numbers and 5 odd numbers, and )> > according to the presented condition NONE of the even numbers can be )> > present in the wanted subset B (as any of these ones is NOT coprime )> > with any other even element in A). )> )> No, you're misreading (or I am...) )> )> For A:= {10, 11,..., 19} we can have B:= A. ?(In fact, we can do this for )> any A.) )> )> Mike.- ) ) I wasn't addressing your post, but now I am your last one: what do you ) mean by "we can have"?!? Either we have B = A (and I can't understand ) why you use the mathematical sign of "definition" here) or we don't.
The problem statement just said that such-abd-such elements had to be present in the set. It did not say that those were the *only* elements allowed to be present.
SaSW, Willem -- Disclaimer: I am in no way responsible for any of the statements made in the above text. For all I know I might be drugged or something.. No I'm not paranoid. You all think I'm paranoid, don't you ! #EOT
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