document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168255>Question 168255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem:\r<BR>\n" );
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document.write( "There are three digits such that any two of them, written in any order, serve as the digits of a two-digit prime number.  Find all three of these digits and give example of how you got the answer.\r<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 #124033 by </B><A HREF=/tutors/aboutme.mpl?userid=303795><B>303795(602)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=303795><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=124033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have ten digits to select from.<BR>\n" );
document.write( "If any even number is included then a two digit number ending in that number would not be a prime number.\r<BR>\n" );
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document.write( "You now have the five odd digits to choose from.<BR>\n" );
document.write( "Any two digit number ending in 5 will have 5 as a factor of that number so 5 can not be one of the three numbers.<BR>\n" );
document.write( "The three numbers must be chosen from 1, 3, 7 and 9<BR>\n" );
document.write( "There are 12 numbers to consider from the four digits<BR>\n" );
document.write( "13, 17, 19 - all prime<BR>\n" );
document.write( "31, 37, 39 - first two are prime and 39 is not prime(3 x 13)<BR>\n" );
document.write( "71, 73, 79 - all prime<BR>\n" );
document.write( "91, 93, 97 - 91 is not prime (7x13) 93 is not prime (31 x 3) and 97 is prime.\r<BR>\n" );
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document.write( "Problems only occur if 9 is included so the digits must be 1, 3 and 7. </SPAN>\n" );
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