RE: Summations with Primes

• To: mathgroup at smc.vnet.net
• Subject: [mg39959] RE: [mg39932] Summations with Primes
• From: "David Park" <djmp at earthlink.net>
• Date: Thu, 13 Mar 2003 03:02:33 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

```Anthony,

Look up Prime and PrimePi in Help.

For a sum using only primes <= 100....

Sum[f[Prime[i]], {i, 1, PrimePi[100]}]
f[2] + f[3] + f[5] + f[7] + f[11] + f[13] + f[17] + f[19] + f[23] + f[29] +
f[31] + f[37] + f[41] + f[43] + f[47] + f[53] + f[59] + f[61] + f[67] +
f[71] + f[73] + f[79] + f[83] + f[89] + f[97]

David Park

From: Anthony Felder [mailto:afelder at crsi.org]
To: mathgroup 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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