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Date:         Wed, 16 Nov 2005 17:57:13 +0000
Reply-To:     toby dunn <tobydunn@HOTMAIL.COM>
Sender:       "SAS(r) Discussion" <SAS-L@LISTSERV.UGA.EDU>
From:         toby dunn <tobydunn@HOTMAIL.COM>
Subject:      Re: Vampire Numbers
Comments: To: iw1junk@COMCAST.NET
In-Reply-To:  <111620051753.2434.437B723600077D6100000982220076139405029A06CE9907@comcast.net>
Content-Type: text/plain; format=flowed

Ian,

I am working on that problem as we speak. I am polishing a program that finds vampire numbers in base ten, then as you and Nat suggested what happens when one changes bases, and I guess we could always add the criteria that a vampire number has to also follow in atleast one other base.

Toby Dunn

From: Ian Whitlock <iw1junk@COMCAST.NET> Reply-To: iw1junk@COMCAST.NET To: SAS-L@LISTSERV.UGA.EDU Subject: Re: Vampire Numbers Date: Wed, 16 Nov 2005 17:53:58 +0000 MIME-Version: 1.0 Received: from mailgw.cc.uga.edu ([128.192.1.101]) by mc7-f5.hotmail.com with Microsoft SMTPSVC(6.0.3790.211); Wed, 16 Nov 2005 09:55:10 -0800 Received: from listserv.cc.uga.edu (listserv.uga.edu [128.192.1.75])by mailgw.cc.uga.edu (8.12.11/8.12.11) with ESMTP id jAGGs1ge008405;Wed, 16 Nov 2005 12:54:02 -0500 Received: from LISTSERV.UGA.EDU by LISTSERV.UGA.EDU (LISTSERV-TCP/IP release 1.8d) with spool id 2661162 for SAS-L@LISTSERV.UGA.EDU; Wed, 16 Nov 2005 12:54:02 -0500 Received: from rwcrmhc11.comcast.net (rwcrmhc11.comcast.net [216.148.227.117]) by listserv.cc.uga.edu (8.12.11/8.12.11) with ESMTP id jAGHs1RV022064 for <SAS-L@listserv.uga.edu>; Wed, 16 Nov 2005 12:54:01 -0500 Received: from rmailcenter78.comcast.net ([204.127.197.178]) by comcast.net (rwcrmhc11) with SMTP id <2005111617540001300c210ke>; Wed, 16 Nov 2005 17:54:00 +0000 Received: from [69.242.8.220] by rmailcenter78.comcast.net; Wed, 16 Nov 2005 17:53:58 +0000 X-Message-Info: APgguKHtcSAeKGxoz5Kvz18iD2t86XS8mSKqY4QyCs8= X-Mailer: AT&T Message Center Version 1 (Dec 17 2004) X-Authenticated-Sender: aXcxanVua0Bjb21jYXN0Lm5ldA== Comments: cc: toby dunn <tobydunn@HOTMAIL.COM> Return-Path: owner-sas-l@LISTSERV.UGA.EDU X-OriginalArrivalTime: 16 Nov 2005 17:55:12.0035 (UTC) FILETIME=[E4141730:01C5EAD6]

On the subject of vampire numbers Toby Dunn <tobydunn@HOTMAIL.COM> wrote in part:

>>>>>>>>>>>>>>>> However, the lasted count I found was; 4 digit 7 Vaps 6 digit 148 vamps 8 digits 3226 vamps 10 digits 108,577 vamps

the largest vampire number ever found so far as I can tell is: 98765432109876543210987654321098765432108990776898 x 98765432109876543210987654321099765432110002523486 = 975461057985063252587258039937610852004851098287639443706725069199204619314 1970418786383479631226428 <<<<<<<<<<<<<<<<<

All of this is in base 10. Now what are the vampire numbers for base 16, and to make it interesting base 24? Let's say that a vampire number is an unusual vampire number if it is vampire in more than one base. Are there any unusal vampires?

Ian Whitlock ===================


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