document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139563>Question 1139563</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If m,n are integers, how many solutions are there to n^2+n+1=m^3? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #760113 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=760113\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If m,n are integers, how many solutions are there to n^2+n+1=m^3? <BR>\n" );
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document.write( "Not counting n=0,  there is only 1 solution, n = 18. m = 7<BR>\n" );
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document.write( "Well I am not too proud of the way I did it, but here is what I did<BR>\n" );
document.write( "I put the equation into my Ti83, n = x, m = y, as follows<BR>\n" );
document.write( "y = (x^2+x+1)^(1/3)<BR>\n" );
document.write( "Then I went to the associated table and looked for integer solutions and only one came up x=18; y=7 </SPAN>\n" );
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