document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179725>Question 1179725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of five consecutive prime numbers is even. is it true or false? and what is its counterexample?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809298 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809298\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "It is not always true.\r<BR>\n" );
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document.write( "It is false sometime.\r<BR>\n" );
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document.write( "It is true in one and only one case: if the first of five consecutive prime numbers is 2.\r<BR>\n" );
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document.write( "Otherwise, it is FALSE:  as a counter-example, consider the sequence of five consecutive primes 3, 5, 7, 11, 13 with the sum of 39.\r<BR>\n" );
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