document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955383>Question 955383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If d and e are prime numbers greater than 3, which of the following could also be a prime number?\r<BR>\n" );
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document.write( "Options: \r<BR>\n" );
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document.write( "		d + e<BR>\n" );
document.write( "		d + e + 1<BR>\n" );
document.write( "		d + e + 2<BR>\n" );
document.write( "		de<BR>\n" );
document.write( "		de + 1<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 #583609 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=583609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "First thing, if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e ALIGN=MIDDLE  ALT=\"e\"   DISABLED_style= \"max-width:90%; height:auto;\" > are prime numbers greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then they're <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=odd ALIGN=MIDDLE  ALT=\"odd\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Use properties of even and odd numbers and primes to think it through.\r<BR>\n" );
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document.write( "a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+%2B+e ALIGN=MIDDLE  ALT=\"d+%2B+e\"   DISABLED_style= \"max-width:90%; height:auto;\" >  =>  is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=even ALIGN=MIDDLE  ALT=\"even\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> cannot be prime<BR>\n" );
document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+%2B+e+%2B+1 ALIGN=MIDDLE  ALT=\"d+%2B+e+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>  is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=odd ALIGN=MIDDLE  ALT=\"odd\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> that could be prime; in fact I can think of an example: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=+5 ALIGN=MIDDLE  ALT=\"d=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e+=+7 ALIGN=MIDDLE  ALT=\"e+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+%2B+7%2B+1=13 ALIGN=MIDDLE  ALT=\"5+%2B+7%2B+1=13\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is a prime number<BR>\n" );
document.write( "c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+%2B+e+%2B+2 ALIGN=MIDDLE  ALT=\"d+%2B+e+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=even ALIGN=MIDDLE  ALT=\"even\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=de ALIGN=MIDDLE  ALT=\"de\"   DISABLED_style= \"max-width:90%; height:auto;\" >    is a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=product ALIGN=MIDDLE  ALT=\"product\"   DISABLED_style= \"max-width:90%; height:auto;\" > of two prime numbers,so it cannot be prime by the definition of a prime number <BR>\n" );
document.write( "e) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=de+%2B+1 ALIGN=MIDDLE  ALT=\"de+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > => since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=de ALIGN=MIDDLE  ALT=\"de\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=odd ALIGN=MIDDLE  ALT=\"odd\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=de+%2B+1 ALIGN=MIDDLE  ALT=\"de+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=even ALIGN=MIDDLE  ALT=\"even\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> not be prime \r<BR>\n" );
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document.write( "answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+%2B+e+%2B+1 ALIGN=MIDDLE  ALT=\"d+%2B+e+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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