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<DIV><FONT size=1>fo many hours pari don't find any factors.</FONT></DIV>
<DIV><FONT size=1>and I suppose that numerator(796) is prime.</FONT></DIV>
<DIV><FONT size=1></FONT> </DIV>
<DIV><FONT size=1>are there any algorithm or methods to verify quickly this
number.</FONT></DIV>
<DIV><FONT size=1></FONT> </DIV>
<DIV><FONT size=1>Thanks</FONT></DIV>
<DIV><FONT size=1></FONT><BR><BR>>>> "Kennedy"
<kennedy@oldnews.org> 02/16 5:47 >>><BR></DIV><FONT
face=Tahoma size=1>
<DIV><FONT face="Palatino Linotype" size=2>If pp(796) = f(796), where f is the
sum you give,</FONT></DIV>
<DIV><FONT face="Palatino Linotype" size=2>then Mathematica claims the numerator
of pp(796)</FONT></DIV>
<DIV><FONT face="Palatino Linotype" size=2>is prime. However, I seem to remember
reading</FONT></DIV>
<DIV><FONT face="Palatino Linotype" size=2>somewhere that Mathematica's PrimeQ
predicate</FONT></DIV>
<DIV><FONT face="Palatino Linotype" size=2>is not 100% reliable.</FONT></DIV>
<DIV><FONT face="Palatino Linotype" size=2></FONT> </DIV>
<DIV><FONT face="Palatino Linotype" size=2>Kennedy</FONT></DIV>
<BLOCKQUOTE dir=ltr
style="PADDING-RIGHT: 0px; PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #000000 2px solid; MARGIN-RIGHT: 0px">
<DIV style="FONT: 10pt arial">----- Original Message ----- </DIV>
<DIV
style="BACKGROUND: #e4e4e4; FONT: 10pt arial; font-color: black"><B>From:</B>
<A title=Mohammed.BOUAYOUN@sanef.com
href="mailto:Mohammed.BOUAYOUN@sanef.com">Mohammed BOUAYOUN</A> </DIV>
<DIV style="FONT: 10pt arial"><B>To:</B> <A title=seqfan@ext.jussieu.fr
href="mailto:seqfan@ext.jussieu.fr">seqfan@ext.jussieu.fr</A> </DIV>
<DIV style="FONT: 10pt arial"><B>Sent:</B> Monday, February 16, 2004 10:32
AM</DIV>
<DIV style="FONT: 10pt arial"><B>Subject:</B> numerator of function is
prime</DIV>
<DIV><BR></DIV>
<DIV><FONT size=1>I defined a new function
f(n)=sum(i=1,n,prime(i)/prime(i+1))<BR>Example <BR>f(1)=2/3<BR>f(2)=2/3
+ 3/5<BR>f(3)=2/3+3/5+5/7</FONT></DIV>
<DIV><FONT size=1>f(4)=2/3+3/5+5/7+7/11</FONT></DIV>
<DIV> </DIV>
<DIV><FONT size=1>can anyone verify if numerator(pp(796)) is
prime</FONT></DIV>
<DIV> </DIV>
<DIV><FONT size=1>thanks<BR></FONT></DIV></BLOCKQUOTE></FONT></BODY></HTML>