document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=915544>Question 915544</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many prime numbers between  8 and 60 leave a remainder of 2 when divided by 6? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555661 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=555661\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> List the prime numbers between 8 and 60\r<BR>\n" );
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document.write( "11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59\r<BR>\n" );
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document.write( "Now divide each prime number listed above by 6 and be sure to list the quotient and remainder\r<BR>\n" );
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document.write( "11/6 = 1 remainder 5<BR>\n" );
document.write( "13/6 = 2 remainder 1<BR>\n" );
document.write( "17/6 = 2 remainder 5<BR>\n" );
document.write( "19/6 = 3 remainder 1<BR>\n" );
document.write( "23/6 = 3 remainder 5<BR>\n" );
document.write( "29/6 = 4 remainder 5<BR>\n" );
document.write( "31/6 = 5 remainder 1<BR>\n" );
document.write( "37/6 = 6 remainder 1<BR>\n" );
document.write( "41/6 = 6 remainder 5<BR>\n" );
document.write( "43/6 = 7 remainder 1<BR>\n" );
document.write( "47/6 = 7 remainder 5<BR>\n" );
document.write( "53/6 = 8 remainder 5<BR>\n" );
document.write( "59/6 = 9 remainder 5\r<BR>\n" );
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document.write( "Notice how the remainders are either 1 or 5. None of the remainders are 2.\r<BR>\n" );
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document.write( "So the final answer is <font color=\"red\">0</font> because there are no primes in that list where you divide them by 6 to get a remainder of 2.\r<BR>\n" );
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document.write( "Let me know if you need more help or if you need me to explain a step in more detail.<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "Jim  </SPAN>\n" );
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