primes less than n and relatively prime to n

[zak seidov]

--- Artur <grafix at csl.pl> wrote:

> Procedure wasn't myself.
> Go in Mathematica Help check Complement later
> Further Examples and see  
> last expample.


> >> A...... primes less than n and relatively prime
> to n
> >> {3, 7, 9, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33,
> 37, 39, 41, 43, 47, 49, 51,
> >> 53, 57, 59, 61, 63, 67, 69, 71, 73, 77, 79, 81,
> 83, 87, 89, 91, 93, 97, 99}

It's a list of all numbers less than 100 and
relatively prime to 100.

Mathematica's description:
"RelativePrimes gives the list of primes less than n
and relatively prime to n"
is rather confusing.. 

Zak

> Dear Joshua.


 
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> {3, 7, 9, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 37, 39, 41, 43,  
> 47, 49, 51,
> 53, 57, 59, 61, 63, 67, 69, 71, 73, 77, 79, 81, 83, 87, 89, 91, 93,  
> 97, 99}

Joshua:

> I don't speak Mathematica but this looks a little weird.  There
> certainly aren't 3 primes less than 1 and relatively prime to 1.  So
> please clarify the definition for me, or explain what the Mathematica
> code is doing?

Jonathan:

> What am I missing?  "primes less than n and relatively prime to n"
> means "primes."

What the Mathematica procedure examples is (indeed) a "list of primes  
less than n and relatively prime to n" with n = 100. I agree that the  
Mathematica help-guide should have used the word "numbers" instead of  
"primes".