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Re: Error: Prime::intpp: Positive integer argument expected in Prime[16.`]
 To: mathgroup at smc.vnet.net
 Subject: [mg61857] Re: Error: Prime::intpp: Positive integer argument expected in Prime[16.`]
 From: "JensPeer Kuska" <kuska at informatik.unileipzig.de>
 Date: Wed, 2 Nov 2005 04:09:24 0500 (EST)
 Organization: Uni Leipzig
 References: <dk6vtg$gi1$1@smc.vnet.net>
 Sender: ownerwrimathgroup at wolfram.com
Hi,
how do you expect, generate Mathematica Prime[n]??
Do you think it has a general formula, that
generate the nth prime number and can take the limit n>Infinity
with this formula ?
Mathematica will probably generate finite truncated
approximations of the Sum[] and try to exprapolate the
result. During this procedure it try to compute
Prime[Infinity] or atleast Prime[Overflow[]]
and, bad news, Infinity Overflow[] is not a
positve integer.
Regards
Jens
"Roger Bagula" <rlbagulatftn at yahoo.com> schrieb im
Newsbeitrag news:dk6vtg$gi1$1 at smc.vnet.net...
I found this sequence of what appears to be
irrational numbers,
 but keep getting this error that doesn't spot a
decent output.
 f[m_] := 1 + Sum[1/m^Prime[n], {n, 1, Infinity}]
 a = Table[N[f[m]], {m, 2, 25}]
 Output={1.41468, 1.15273, 1.07916, 1.04833,
1.03254, 1.02338, 1.01761,
 1.01373, 1.01101, 1.00902, 1.00753, 1.00638,
1.00547, 1.00474, 1.00415,
 1.00366, 1.00326, 1.00292, 1.00263, 1.00238,
1.00216, 1.00197, 1.00181,
 1.00166}
 Errors read as:
 \!\(\*
 RowBox[{
 RowBox[{\(rime::"intpp"\), ":", " ",
 "\<\"Positive integer argument expected in
Prime[
 16.`]. \\!\\( \\*ButtonBox[\\(Moreâ?¦\\),
\
 ButtonData:>\\\"Prime::intpp\\\",
ButtonStyle>\\\"RefGuideLinkText\\\", \
 ButtonFrame>\\\"None\\\"]\\)\"\>"}], "\n",
 RowBox[{\(Prime::"intpp"\), ":", " ",
"\<\"Positive integer argument \
 expected in Prime[16.`]. \\!\\(
\\*ButtonBox[\\(Moreâ?¦\\), \
 ButtonData:>\\\"Prime::intpp\\\",
ButtonStyle>\\\"RefGuideLinkText\\\", \
 ButtonFrame>\\\"None\\\"]\\)\"\>"}], "\n",
 RowBox[{\(Prime::"intpp"\), ":", " ",
 "\<\"Positive integer argument expected in
Prime[
 17.`]. \\!\\( \\*ButtonBox[\\(Moreâ?¦\\),
\
 ButtonData:>\\\"Prime::intpp\\\",
ButtonStyle>\\\"RefGuideLinkText\\\", \
 ButtonFrame>\\\"None\\\"]\\)\"\>"}], "\n",
 RowBox[{\(General::"stop"\), \(\(:\)\(\
\)\), "\<\"Further output of \
 Prime::\"\>", "intpp", "\<\" will be suppressed
during this calculation. \
 \\!\\( \\*ButtonBox[\\(Moreâ?¦\\),
ButtonData:>\\\"General::stop\\\", \
 ButtonStyle>\\\"RefGuideLinkText\\\",
 ButtonFrame>\\\"None\\\"]\\)\"\>"}]}]\)
 More gives:
 â?¼ Generated when the indicated argument used
in Prime is not a positive
 integer.

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