document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=848380>Question 848380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2. Find the residue of 103^45 modulo 5. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511054 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=511054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 103 mod 5 =  3  (103)\r<BR>\n" );
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document.write( "3 * 103 mod 5 = 4   (103^2)\r<BR>\n" );
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document.write( "4 * 103 mod 5 = 2   (103^3)\r<BR>\n" );
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document.write( "2 * 103 mod 5 = 1   (103^4)\r<BR>\n" );
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document.write( "1 * 103 mod 5 = 3\r<BR>\n" );
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document.write( "(103^4)^11 = 103^44 =  1 mod 5\r<BR>\n" );
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document.write( "103^44 * 103^1 mod 5 = 1 * 3 =  3<--- residue\r<BR>\n" );
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