document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=447147>Question 447147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For any integers n, let ® n be defined as the sum of the distinct prime factors of n. For instance, ® 36=5, because 2 and 3 are the only prime factors of 36 and <BR>\n" );
document.write( "2+3=5.<BR>\n" );
document.write( "What is the smallest value of w for which ® w=12 ?<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 #307877 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=307877\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The only way to express 12 as a sum of distinct prime numbers is 5+7. Therefore the smallest value of n that satisfies is (5^1)(7^1) = 35, because 5+7 = 12. </SPAN>\n" );
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