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Re: Summations with Primes

  • To: mathgroup at smc.vnet.net
  • Subject: [mg39972] Re: Summations with Primes
  • From: dan_kefford at hotmail.com (Dan Kefford)
  • Date: Thu, 13 Mar 2003 03:04:08 -0500 (EST)
  • References: <b4mnus$imf$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

How about this?

SumOverPrimes[expr_, {i_, iMin_, iMax_}] :=
  Module[{primeList, j, k},
    primeList = Cases[Table[j, {j, iMin, iMax}], j_?PrimeQ] ;
    Return[Sum[expr /. i -> primeList[[k]], {k, 1, Length[primeList]}] ];
    ]

Cheers,

dan kefford

"Anthony Felder" <afelder at crsi.org> wrote in message news:<b4mnus$imf$1 at smc.vnet.net>...
> Can you tell me if, when calculating a summation of f(i) where i goes from
> imin to imax, Mathematica can be forced to only use prime values for i?
> 
> Thank you for your time
> 
> Anthony Felder


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