<HTML><BODY style="word-wrap: break-word; -khtml-nbsp-mode: space; -khtml-line-break: after-white-space; "><DIV><DIV>Jonathan Post:</DIV><BR class="Apple-interchange-newline"><BLOCKQUOTE type="cite"><SPAN class="Apple-style-span" style="border-collapse: separate; -khtml-border-horizontal-spacing: 0px; -khtml-border-vertical-spacing: 0px; color: rgb(0, 0, 0); font-size: 16px; font-variant: normal; letter-spacing: normal; line-height: normal; -khtml-text-decorations-in-effect: none; text-indent: 0px; -apple-text-size-adjust: auto; text-transform: none; orphans: 2; white-space: normal; widows: 2; word-spacing: 0px; ">Right now, in 2006, we have a rare instance of the holiest days of Judaism and Islam coinciding. Which other years have this coincidence?</SPAN></BLOCKQUOTE><BR></DIV><DIV>Using a quick and dirty Mathematica program, which has built-in calendar conversions, I get the following close approaches for the years 1900-2100:</DIV><DIV><BR class="khtml-block-placeholder"></DIV><DIV>Year Ramadan <FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">Rosh Hashana</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;"><BR class="khtml-block-placeholder"></SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">1908 9/27 9/26</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">1909 9/16 9/16</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">1940 10/3 10/2</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">1941 9/22 9/23</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">1942 9/12 9/12</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">1973 9/28 9/27</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">1974 9/18 9/18</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">1975 9/7 9/6</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">2005 10/4 10/4</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">2006 9/24 9/23</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">2007 9/13 9/13</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">2038 9/30 9/29</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">2039 9/19 9/20</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">2040 9/8 9/8</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">2071 9/25 9/24</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">2072 9/14 9/14</SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;"><BR class="khtml-block-placeholder"></SPAN></FONT></DIV><DIV><FONT class="Apple-style-span" size="5"><SPAN class="Apple-style-span" style="font-size: 17.3px;">I assume the reason Mathematica does not see 2006 as coincidental has to do with assumptions about when a day begins. A cursory glance suggests a coincidence or two every 32/33 years.</SPAN></FONT></DIV></BODY></HTML>