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MathGroup Archive 2001

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Can this be made cleaner and more efficient?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg29022] Can this be made cleaner and more efficient?
  • From: Flip <nospam at newsranger.com>
  • Date: Fri, 25 May 2001 01:47:58 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi All,

I was wondering if the following module (it is small) can be made simpler and
faster ... and thoughts would be appreciated.

RandomOdd2[d_] := Module[{res},
res = Random[Integer, {10^(d - 1), 10^d}];
While[(

Mod[res, 02] == 0 || Mod[res, 03] == 0 || Mod[res, 05] == 0 || 
Mod[res, 07] == 0 || Mod[res, 11] == 0 || Mod[res, 13] == 0 || 
Mod[res, 17] == 0 || Mod[res, 19] == 0 || Mod[res, 23] == 0 || 
Mod[res, 29] == 0 || Mod[res, 31] == 0 || Mod[res, 37] == 0 || 
Mod[res, 41] == 0 || Mod[res, 43] == 0 || Mod[res, 47] == 0 || 
Mod[res, 53] == 0 || Mod[res, 59] == 0 || Mod[res, 61] == 0 || 
Mod[res, 71] == 0 || Mod[res, 73] == 0 || Mod[res, 79] == 0 || 
Mod[res, 83] == 0 || Mod[res, 89] == 0 || Mod[res, 97] == 0),
res = Random[Integer, {10^(d - 1), 10^d}]];
res]

It is basically sieving out the first 24 primes (primes <= 100) from the result.

Thank you ... Flip



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