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MathGroup Archive 2005

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Re: Special Prime Product

  • To: mathgroup at smc.vnet.net
  • Subject: [mg53403] Re: Special Prime Product
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Mon, 10 Jan 2005 00:13:46 -0500 (EST)
  • Organization: The University of Western Australia
  • References: <cro3ga$hgo$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <cro3ga$hgo$1 at smc.vnet.net>,
 "Gilmar" <gilmar.rodriguez at nwfwmd.state.fl.us> wrote:

> I'm attempting to form a product:
> _____
> |  | (p-2)
> |  | -------
> |  | (p-1)
> p Prime, p|n
> 
> I call the program:
> 
> << NumberTheory`NumberTheoryFunctions`
> and use the function "PrimeFactorList" in it,  to build
> the following module:
> 
> specpriprod[n_]:=
> Module[{v},v=Product[(primeFactorList[n][[i]]-2)/(primeFactorList[n][[i]]-2),
> {i,Length[PrimeFactorList[n]]}];v]
> 
> specpriprod is an abbreviation for "Special Prime Product".
> 
> When I evaluate:
> Table[{n,specprimprod[n]},{n,4,100,2}]
> 
> I only get specprimprod[n] = 0 for n even between 4 and 100.
> Help! and Thank you for your help!
> 

Others have pointed out the error in your code. I would just like to add 
that at 

  http://mathworld.wolfram.com/PrimeProducts.html

you will find some relevant formulas along with a downloadable 
Mathematica Notebook.

Cheers,
Paul

-- 
Paul Abbott                                   Phone: +61 8 6488 2734
School of Physics, M013                         Fax: +61 8 6488 1014
The University of Western Australia      (CRICOS Provider No 00126G)         
35 Stirling Highway
Crawley WA 6009                      mailto:paul at physics.uwa.edu.au 
AUSTRALIA                            http://physics.uwa.edu.au/~paul


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