document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=448561>Question 448561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following CANT be expressed as the sum of the squares of two integers? Is there any formula to solve such problems?<BR>\n" );
document.write( "(a)13<BR>\n" );
document.write( "(b)17<BR>\n" );
document.write( "(c)21<BR>\n" );
document.write( "(d)29<BR>\n" );
document.write( "(e)34 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308638 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=308638\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The first 5 perfect squares are:\r<BR>\n" );
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document.write( "1, 4, 9, 16, and 25.\r<BR>\n" );
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document.write( "You won't need the 6th one because it is larger than the largest of your choices.\r<BR>\n" );
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document.write( "Start with your first one, 13.\r<BR>\n" );
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document.write( "13 minus 1 is 12.  1 is a perfect square, 12 is not.<BR>\n" );
document.write( "13 minus 4 is 9.  4 is a perfect square, 9 is a perfect square, so 13 is the sum of two perfect squares.  Eliminate this choice.\r<BR>\n" );
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document.write( "17 minus 1 is 16.  1 and 16 are perfect squares.  Eliminate choice.\r<BR>\n" );
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document.write( "Keep going until you find one that is not the sum of two perfect squares.  I can say that there is only one in the given list of numbers, but I wouldn't trust me if I were you -- check them all.\r<BR>\n" );
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document.write( "By the way, the word \"can't\" is properly spelled with an apostrophe.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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