document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955487>Question 955487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all the numbers less than 60 that are prime and have a remainder of 3 when they are divided by 7? Should have three answers but we only come up with two.\r<BR>\n" );
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document.write( "Prime numbers less than 60: 2,3,5,7,11,13,17,23,29,31,37,41,43,47,54,59.  <BR>\n" );
document.write( " 17/7 = 2.43<BR>\n" );
document.write( "*19/7 = 2.71 round up = 3<BR>\n" );
document.write( "*23/7 = 3.28 round = 3<BR>\n" );
document.write( " 29/7 = 4.14<BR>\n" );
document.write( " 31/7 = 4.42\r<BR>\n" );
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document.write( "What are we doing wrong.\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "t2newark<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 #583706 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=583706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (FIXED MISTAKE in earlier solution)\r<BR>\n" );
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document.write( "Your list of prime numbers is wrong.\r<BR>\n" );
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document.write( "PRIMES LESS THAN 60:<BR>\n" );
document.write( "2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59.\r<BR>\n" );
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document.write( "You could to decide to include 3, because the whole part of the quotient 3/7 is 0; and the remainder is obviously 3.\r<BR>\n" );
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document.write( "-------------.\r<BR>\n" );
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document.write( "Something else:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%2F7=2%263%2F7 ALIGN=MIDDLE  ALT=\"17%2F7=2%263%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >; so two numbers for sure that you are looking for  17.\r<BR>\n" );
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document.write( "What else?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31%2F7=%2828%2B3%29%2F7=28%2F7%2B3%2F7=4%2B3%2F7 ALIGN=MIDDLE  ALT=\"31%2F7=%2828%2B3%29%2F7=28%2F7%2B3%2F7=4%2B3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Now your three numbers you were looking for are ----, 17, 31.\r<BR>\n" );
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document.write( "You missed 59.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=59%2F7=8%263%2F7 ALIGN=MIDDLE  ALT=\"59%2F7=8%263%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Meaning there are FOUR prime numbers less than 60 which when divided by 7 give a remainder of 3; they are:<BR>\n" );
document.write( "------just these--------17, 31, 59. </SPAN>\n" );
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