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	<title>MetaFilter posts tagged with math and numbers</title>
	<link>http://www.metafilter.com/tags/math+numbers</link>
	<description>Posts tagged with 'math' and 'numbers' at MetaFilter.</description>
	<pubDate>Thu, 07 May 2009 08:00:50 -0800</pubDate> <lastBuildDate>Thu, 07 May 2009 08:00:50 -0800</lastBuildDate>

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	<docs>http://blogs.law.harvard.edu/tech/rss</docs>
	<ttl>60</ttl>
	<item>
		<title>Beware of Oddity</title>
		<link>http://www.metafilter.com/81476/Beware%2Dof%2DOddity</link>
		<description> &lt;a href=&quot;http://www.oddday.net/&quot;&gt;Happy Odd Day!&lt;/a&gt; &lt;a href=&quot;http://www.facebook.com/event.php?eid=81263371746&amp;ref=ts&quot;&gt;Join the facebook group, win 575 dollars!&lt;/a&gt;

&lt;small&gt;&lt;a href=&quot;http://slashdot.org/article.pl?sid=99/11/19/1326202&quot;&gt;Previously&lt;/a&gt;&lt;/small&gt; </description>
		<guid isPermaLink="false">tag:metafilter.com,2009:site.81476</guid>
		<pubDate>Thu, 07 May 2009 08:00:50 -0800</pubDate>
		<category>math</category>
		<category>nerds</category>
		<category>numbers</category>
		<category>pointless_holidays</category>
		<dc:creator>Potomac Avenue</dc:creator>
	</item>
      <item>
		<title>15 bits of crypto should be enough for anybody</title>
		<link>http://www.metafilter.com/71730/15%2Dbits%2Dof%2Dcrypto%2Dshould%2Dbe%2Denough%2Dfor%2Danybody</link>
		<description> On May 13, security advisories published by &lt;a href=&quot;http://lists.debian.org/debian-security-announce/2008/msg00152.html&quot;&gt;Debian&lt;/a&gt; and &lt;a href=&quot;http://www.ubuntu.com/usn/usn-612-1&quot;&gt;Ubuntu&lt;/a&gt; revealed that, for over a year, their OpenSSL libraries have had a major flaw in their &lt;a href=&quot;http://en.wikipedia.org/wiki/Cryptographically_secure_pseudorandom_number_generator&quot; title=&quot;Wikipedia: Cryptographically secure pseudorandom number generator&quot;&gt;CSPRNG&lt;/a&gt;, which is used by &lt;a href=&quot;http://en.wikipedia.org/wiki/Key_generation&quot; title=&quot;Wikipedia: Key generation&quot;&gt;key generation&lt;/a&gt; functions in many widely-used applications, which caused the &quot;random&quot; numbers produced to be extremely predictable. &lt;small&gt;[&lt;a href=&quot;http://blog.rominet.net/2008/05/debianopenssl-debacle.html&quot;&gt;lolcat summary&lt;/a&gt;]&lt;/small&gt; How bad is it? It&apos;s &lt;a href=&quot;http://www.debian.org/security/key-rollover/&quot;&gt;pretty&lt;/a&gt; &lt;a href=&quot;http://wiki.debian.org/SSLkeys&quot;&gt;bad&lt;/a&gt;. Understand that these keys are used not only for encryption, but also for authentication. The keyspace has been reduced to a mere 32,768 possibilities, and you can already &lt;a href=&quot;http://metasploit.com/users/hdm/tools/debian-openssl/&quot;&gt;download them all&lt;/a&gt;, along with tools to use them. Worse still, in the days &lt;em&gt;before&lt;/em&gt; the issue became publicly known, there was a &lt;a href=&quot;http://www.informationweek.com/news/security/attacks/showArticle.jhtml?articleID=207603339&quot;&gt;noticeable&lt;/a&gt; &lt;a href=&quot;http://stats.denyhosts.net/stats.html&quot;&gt;spike&lt;/a&gt; in the number of brute-force attacks on SSH servers, indicating that there has already been significant exploitation of this vulnerability.

Partial timeline of events: In May 2006, &lt;a href=&quot;http://bugs.debian.org/cgi-bin/bugreport.cgi?bug=363516&quot;&gt;a bug&lt;/a&gt; led to &lt;a href=&quot;http://thread.gmane.org/gmane.comp.encryption.openssl.devel/10917&quot;&gt;a question&lt;/a&gt; which led to &lt;a href=&quot;http://svn.debian.org/viewsvn/pkg-openssl/openssl/trunk/rand/md_rand.c?rev=141&amp;r1=140&amp;r2=141&quot;&gt;the fateful patch&lt;/a&gt; being applied to &lt;a href=&quot;http://svn.debian.org/viewsvn/pkg-openssl/openssl/trunk/rand/md_rand.c?rev=141&amp;view=markup&quot;&gt;md_rand.c&lt;/a&gt; (in Debian&apos;s &quot;unstable&quot; development branch). In April 2007, Debian 4.0 &quot;etch&quot; and Ubuntu 7.04 were both released, which was the beginning of the inclusion of the buggy version of OpenSSL in officially-released distributions. The bug remained unfixed through the releases of Ubuntu 7.10 and 8.04. On May 7, 2008, the &lt;a href=&quot;http://svn.debian.org/viewsvn/pkg-openssl/openssl/trunk/crypto/rand/md_rand.c?rev=300&amp;view=diff&amp;r1=300&amp;r2=299&quot;&gt;patch to fix the problem&lt;/a&gt; was committed to Debian&apos;s source repository, and on May 13 the issue was officially disclosed and updated packages were made available to users. (The patch&apos;s availability days before public disclosure of the bug appears to be a violation of &lt;a href=&quot;http://www.debian.org/doc/developers-reference/ch-pkgs.en.html#s-bug-security-confidentiality&quot;&gt;Debian&apos;s policy&lt;/a&gt;.)

&lt;a href=&quot;http://blog.drinsama.de/erich/en/linux/2008051401-debian-openssl-desaster.html&quot;&gt;Here&lt;/a&gt; &lt;a href=&quot;http://blog.drinsama.de/erich/en/linux/2008051401-consequences-of-sslssh-weakness.html&quot;&gt;are&lt;/a&gt; &lt;a href=&quot;http://changelog.complete.org/posts/714-Thoughtfulness-on-the-OpenSSL-bug.html&quot;&gt;some&lt;/a&gt; &lt;a href=&quot;http://www.aigarius.com/blog/2008/05/14/too-similar-to-be-different/&quot;&gt;responses&lt;/a&gt; &lt;a href=&quot;http://algebraicthunk.net/~dburrows/blog/entry/worst-ever/&quot;&gt;from&lt;/a&gt; &lt;a href=&quot;http://www.advogato.org/person/branden/diary/5.html&quot;&gt;Debian&lt;/a&gt; &lt;a href=&quot;http://blog.steve.org.uk/i_still_don_t_know_why_i_m_here.html&quot;&gt;blogs&lt;/a&gt;, and &lt;a href=&quot;http://www.links.org/?p=327&quot;&gt;two&lt;/a&gt; &lt;a href=&quot;http://www.links.org/?p=328&quot;&gt;from&lt;/a&gt; an OpenSSL developer. </description>
		<guid isPermaLink="false">tag:metafilter.com,2008:site.71730</guid>
		<pubDate>Fri, 16 May 2008 22:01:42 -0800</pubDate>
		<category>crypto</category>
		<category>cryptography</category>
		<category>debian</category>
		<category>internet</category>
		<category>linux</category>
		<category>math</category>
		<category>numbers</category>
		<category>owie</category>
		<category>prng</category>
		<category>probability</category>
		<category>random</category>
		<category>security</category>
		<category>ssh</category>
		<category>ssl</category>
		<category>ubuntu</category>
		<dc:creator>finite</dc:creator>
	</item>
      <item>
		<title>3 is an odd prime, 5 is an odd prime, 7 is an odd prime, 9 is a very odd prime...</title>
		<link>http://www.metafilter.com/62794/3%2Dis%2Dan%2Dodd%2Dprime%2D5%2Dis%2Dan%2Dodd%2Dprime%2D7%2Dis%2Dan%2Dodd%2Dprime%2D9%2Dis%2Da%2Dvery%2Dodd%2Dprime</link>
		<description>&lt;a href="http://recursed.blogspot.com/2006/12/prime-game.html"&gt;The Prime Game&lt;/a&gt; is not really much of a game, but it &lt;i&gt;is&lt;/i&gt; a neat &amp;amp; little-known fact about the decimal representation of prime numbers.  </description>
		<guid isPermaLink="false">tag:metafilter.com,2007:site.62794</guid>
		<pubDate>Tue, 10 Jul 2007 06:34:53 -0800</pubDate>
		<category>decimal</category>
		<category>digits</category>
		<category>math</category>
		<category>numbers</category>
		<category>partialorder</category>
		<category>primes</category>
		<category>sequences</category>
		<dc:creator>Wolfdog</dc:creator>
	</item>
      <item>
		<title>Operation Kaprekar</title>
		<link>http://www.metafilter.com/57747/Operation%2DKaprekar</link>
		<description>&lt;a href="http://plus.maths.org/issue38/features/nishiyama/"&gt;Mysterious number 6174.&lt;/a&gt; An excellent recreational math article.  </description>
		<guid isPermaLink="false">tag:metafilter.com,2007:site.57747</guid>
		<pubDate>Sat, 13 Jan 2007 22:19:42 -0800</pubDate>
		<category>essay</category>
		<category>math</category>
		<category>mathematics</category>
		<category>numbers</category>
		<dc:creator>fatllama</dc:creator>
	</item>
      <item>
		<title>Significant numbers</title>
		<link>http://www.metafilter.com/46592/Significant%2Dnumbers</link>
		<description>&lt;a href="http://projectredstone.ath.cx/Significant.html"&gt;Significance of numbers.&lt;/a&gt; Not to be confused with the concept of &quot;significant figures,&quot; this page lists the significance of numbers 0 through 1000.

&lt;em&gt;See!&lt;/em&gt; &quot;2 is the only even prime.&quot;
&lt;em&gt;Hear!&lt;/em&gt; &quot;24 is the largest number divisible by all numbers less than its square root.&quot;
&lt;em&gt;Thrill!&lt;/em&gt; &quot;3367 is the smallest number which can be written as the difference of 2 cubes in 3 ways.&quot; Whoa!  </description>
		<guid isPermaLink="false">tag:metafilter.com,2005:site.46592</guid>
		<pubDate>Fri, 11 Nov 2005 14:09:41 -0800</pubDate>
		<category>math</category>
		<category>numbers</category>
		<dc:creator>scarabic</dc:creator>
	</item>
      <item>
		<title>Number Spirals</title>
		<link>http://www.metafilter.com/32500/Number%2DSpirals</link>
		<description>&lt;a href="http://www.numberspiral.com/"&gt;Number Spirals:&lt;/a&gt; Coincidences of order. &quot;&lt;a href=&quot;http://www-gap.dcs.st-and.ac.uk/~history/Quotations/Von_Neumann.html&quot;&gt;In mathematics you don&apos;t understand things. You just get used to them.&lt;/a&gt;&quot;  </description>
		<guid isPermaLink="false">tag:metafilter.com,2004:site.32500</guid>
		<pubDate>Thu, 15 Apr 2004 09:40:12 -0800</pubDate>
		<category>math</category>
		<category>mathematics</category>
		<category>numbers</category>
		<category>numberspirals</category>
		<dc:creator>jjray</dc:creator>
	</item>
      <item>
		<title>Oh, it&apos;s nothing...</title>
		<link>http://www.metafilter.com/28634/Oh%2Dits%2Dnothing</link>
		<description> This post is about &lt;a href=&quot;http://plato.stanford.edu/entries/nothingness/&quot; title=&quot;Philosophical approaches to &apos;nothingness&apos; &quot;&gt;nothing&lt;/a&gt;. &lt;a href=&quot;http://www.abc.net.au/science/slab/blackholes/story.htm&quot; title=&quot;Black holes as an ultimate nothing.&quot;&gt;Zip&lt;/a&gt;. &lt;a href=&quot;http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Zero.html&quot; title=&quot;The History of Zero&quot;&gt;Zero&lt;/a&gt;. &lt;a href=&quot;http://www.aksworld.com/FreeReports/Quantum%20Brahman.htm&quot; title=&quot;But what in truth is this zero? It is an incalculable Infinite... Our sense by its incapacity has invented darkness. In truth there is nothing but Light, only it is a power of light either above or below our poor human vision&apos;s limited range.&quot; -sri aurobindo&gt;Zilch&lt;/a&gt;. &lt;a href=&quot;http://www.yakrider.com/Poetry_n_Essays/Essays/about_nothing.htm&quot; title=&quot;Nothingness through the ages&quot;&gt;Nada&lt;/a&gt;.  </description>
		<guid isPermaLink="false">tag:metafilter.com,2003:site.28634</guid>
		<pubDate>Mon, 29 Sep 2003 22:19:04 -0800</pubDate>
		<category>math</category>
		<category>naught</category>
		<category>nothing</category>
		<category>nothingness</category>
		<category>numbers</category>
		<category>zero</category>
		<dc:creator>moonbird</dc:creator>
	</item>
      <item>
		<title></title>
		<link>http://www.metafilter.com/7355/</link>
		<description>&lt;a href="http://lavarand.sgi.com/"&gt;LavaRand&lt;/a&gt; ...harnessing the power of Lava Lite&#xae; lamps to generate truly random numbers.... 
&lt;br /&gt;&lt;br /&gt;
That&apos;s a bold statement, but who am I to doubt the power of the &lt;a href=&quot;http://www.oozinggoo.com/themyth.html&quot;&gt;lava lamp&lt;/a&gt;. The mathematical purist may disagree with the &quot;truely random&quot; part, but this &lt;a href=&quot;http://lavarand.sgi.com/cgi-bin/how.cgi&quot;&gt;geek speak&lt;/a&gt; convinced me that LavaRand can handle all my random number needs.  </description>
		<guid isPermaLink="false">tag:metafilter.com,2001:site.7355</guid>
		<pubDate>Mon, 30 Apr 2001 22:37:54 -0800</pubDate>
		<category>brokenlink</category>
		<category>generator</category>
		<category>LavaLamp</category>
		<category>LavaLamps</category>
		<category>math</category>
		<category>mathematics</category>
		<category>numbers</category>
		<category>random</category>
		<dc:creator>bicyclingfool</dc:creator>
	</item>
      <item>
		<title></title>
		<link>http://www.metafilter.com/6396/</link>
		<description>&lt;a href="http://www.newscientist.com/features/features.jsp?id=ns22811"&gt;Mathematician Bums Out Entire Scientific Community&lt;/a&gt; His &quot;Omega&quot; number--infinite and incalculable--guts hopes for pure mathematics, physicists&apos; hopes for a Theory of Everything, and is just in general kind of bafflingly cool.  Builds on the whole Godel/Turing foundation of hopelessness!  </description>
		<guid isPermaLink="false">tag:metafilter.com,2001:site.6396</guid>
		<pubDate>Thu, 15 Mar 2001 12:40:07 -0800</pubDate>
		<category>brokenlink</category>
		<category>math</category>
		<category>mathematics</category>
		<category>NewScientist</category>
		<category>numbers</category>
		<category>Omega</category>
		<category>science</category>
		<dc:creator>Skot</dc:creator>
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