<HTML><BODY style="word-wrap: break-word; -khtml-nbsp-mode: space; -khtml-line-break: after-white-space; "><DIV><DIV>I wrote (to SeqFan):</DIV><DIV><BR class="khtml-block-placeholder"></DIV><BLOCKQUOTE type="cite"><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">I just discovered that the fourth term of A016088 was added a few months ago: 1801241230056600523, with a note that pi(1801241230056600523) remains to be determined in order to extend A046024. This doesn't help, but from web-published tables its approximation would be 4.3923 * 10^16.</DIV></BLOCKQUOTE><DIV><BR class="khtml-block-placeholder"></DIV><DIV>Begin forwarded message:</DIV><BR class="Apple-interchange-newline"><BLOCKQUOTE type="cite"><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><FONT face="Helvetica" size="5" color="#000000" style="font: 16.0px Helvetica; color: #000000"><B>From: </B></FONT><FONT face="Helvetica" size="5" style="font: 16.0px Helvetica">Tomás Oliveira e Silva <<A href="mailto:tos@det.ua.pt">tos@det.ua.pt</A>></FONT></DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><FONT face="Helvetica" size="5" color="#000000" style="font: 16.0px Helvetica; color: #000000"><B>Date: </B></FONT><FONT face="Helvetica" size="5" style="font: 16.0px Helvetica">December 14, 2005 9:44:38 AM EST (CA)</FONT></DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><FONT face="Helvetica" size="5" color="#000000" style="font: 16.0px Helvetica; color: #000000"><B>To: </B></FONT><FONT face="Helvetica" size="5" style="font: 16.0px Helvetica">Hans Havermann <<A href="mailto:pxp@rogers.com">pxp@rogers.com</A>></FONT></DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><FONT face="Helvetica" size="5" color="#000000" style="font: 16.0px Helvetica; color: #000000"><B>Subject: </B></FONT><FONT face="Helvetica" size="5" style="font: 16.0px Helvetica"><B>Re: pi(1801241230056600523)</B></FONT></DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; min-height: 14px; "><BR></DIV> <DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">Hello,</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; min-height: 14px; "><BR></DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">The value of pi(1801241230056600523) is 43922730588128390. This took</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">about 40 minutes to compute (and another 40 to double check, with</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">other program parameters) on a 3.2GHz Pentium 4 Xeon.</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; min-height: 14px; "><BR></DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">If needed, I can compute in a few hours the value of pi(x) for x smaller</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">than 2^64, and, in less than a day, for x smaller than 10^20. Larger</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">values of x take longer. I am currently in the middle of the computation</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">of pi(2*10^22) and pi(4*10^22). The last is the current world record.</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">In the near future I will write a program capable of computing pi(10^28)</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">[this, of course, will take make CPU years...].</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; min-height: 14px; "><BR></DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">Best regards,</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">--<SPAN class="Apple-converted-space"> </SPAN></DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">--------------------------------------------------------------------------</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><SPAN class="Apple-converted-space"> </SPAN>Tomás Oliveira e Silva<SPAN class="Apple-converted-space"> </SPAN><A href="mailto:tos@det.ua.pt">tos@det.ua.pt</A><SPAN class="Apple-converted-space"> </SPAN>http://www.ieeta.pt/~tos</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">--------------------------------------------------------------------------</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; ">"God's Final Message to His Creation: We apologise for the inconvenience."</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; "><SPAN class="Apple-converted-space"> </SPAN>So Long, and Thanks for all the Fish, Douglas Adams</DIV><DIV style="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; min-height: 14px; "><BR></DIV> </BLOCKQUOTE></DIV><BR></BODY></HTML>