document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257210>Question 257210</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The difference of the squares of two prime numbers is 10197. What is the sum of<BR>\n" );
document.write( "the squares of the two numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189157 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=189157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference of the squares of two prime numbers is 10197. What is the sum of<BR>\n" );
document.write( "the squares of the two numbers?<BR>\n" );
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document.write( "Since the difference is an odd number, one of the prime numbers has to be an even number.  The only even prime is 2, and its square is 4.<BR>\n" );
document.write( "10197 + 4 = 10201 = 101^2<BR>\n" );
document.write( "The numbers are 2 and 101.<BR>\n" );
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document.write( "The sum of their squares is 10205.<BR>\n" );
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document.write( "PS  -2 and -101 also work.<BR>\n" );
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