document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209349>Question 1209349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the number of bases n \ge 2$ such that 100_n + 1_n is prime. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848587 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</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=848587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Find the number of bases n \ge 2$ such that 100_n + 1_n is prime.<BR>\n" );
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document.write( "This problem, inadvertently, offers to solve a world class mathematical problem <BR>\n" );
document.write( "from Number theory &nbsp;(of the &nbsp;Fields prize level) &nbsp;here, &nbsp;passing by.\r<BR>\n" );
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document.write( "Perhaps, a great thinker is behind this post, who wishes that somebody will solve it for him soon . . . \r<BR>\n" );
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document.write( "Bravo ! &nbsp;&nbsp;Plus an elementary proof of &nbsp;Fermat's last theorem, &nbsp;too.\r<BR>\n" );
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document.write( "So as not to get up twice.\r<BR>\n" );
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document.write( "To do this, we need to revive Euler, Dirichlet, Riemann and five more world class level mathematicians,\r<BR>\n" );
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document.write( "to provide them all conditions for work of the Google corporation level for 20 - 40 years,\r<BR>\n" );
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document.write( "with quantum super-computers and free food, publishing special journals/magazines \r<BR>\n" );
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document.write( "and by holding annual conferences on the subject.\r<BR>\n" );
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document.write( "And, perhaps, establish contact with extraterrestrial civilizations in other galaxies.\r<BR>\n" );
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document.write( ". . . . . . . . . . . . \r<BR>\n" );
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document.write( "In some countries, in collections of preparatory problems for high-level Math Olympiads, <BR>\n" );
document.write( "it is customary to print one or two unsolved mathematical problems - simply to inspire young readers.\r<BR>\n" );
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document.write( "Naturally, nobody of publishers does not expect that such problems will be solved,<BR>\n" );
document.write( "but the tradition is the tradition.\r<BR>\n" );
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