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    <title>MaplePrimes - comments on Post, "New" Mersenne Primes</title>
    <link>http://www.mapleprimes.com/posts/38620-New-Mersenne-Primes</link>
    <language>en-us</language>
    <copyright>2026 Maplesoft, A Division of Waterloo Maple Inc.</copyright>
    <generator>Maplesoft Document System</generator>
    <lastBuildDate>Wed, 10 Jun 2026 21:35:06 GMT</lastBuildDate>
    <pubDate>Wed, 10 Jun 2026 21:35:06 GMT</pubDate>
    <itunes:subtitle />
    <itunes:summary />
    <description>The latest comments added to the Post, "New" Mersenne Primes</description>
    <image>
      <url>http://www.mapleprimes.com/images/mapleprimeswhite.jpg</url>
      <title>MaplePrimes - comments on Post, "New" Mersenne Primes</title>
      <link>http://www.mapleprimes.com/posts/38620-New-Mersenne-Primes</link>
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    <item>
      <title>Mersenne</title>
      <link>http://www.mapleprimes.com/posts/38620-New-Mersenne-Primes?ref=Feed:MaplePrimes:"New" Mersenne Primes:Comments#comment69601</link>
      <itunes:summary>&lt;p&gt;No...&amp;nbsp; You might try a Lucas-Lehmer test.&amp;nbsp; But with highly-optimized specialized software that took days.&lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, "New" Mersenne Primes</description>
      <guid>69601</guid>
      <pubDate>Mon, 29 Sep 2008 18:57:40 Z</pubDate>
      <itunes:author>Robert Israel</itunes:author>
      <author>Robert Israel</author>
    </item>
    <item>
      <title>update</title>
      <link>http://www.mapleprimes.com/posts/38620-New-Mersenne-Primes?ref=Feed:MaplePrimes:"New" Mersenne Primes:Comments#comment69598</link>
      <itunes:summary>&lt;p&gt;Not only does Maple's internal list of mersenne prime exponents need updating, but the routine itself might (possibly) do with an overhaul.&lt;/p&gt;
&lt;p&gt;There are ranges for which it is now known that no more Mersenne primes exist. But there are also ranges for which conclusive searching is not yet finished. The 'false' and 'FAIL' returns from numtheory:-mersenne do not reflect all that.&lt;/p&gt;
&lt;p&gt;The numtheory package was updated as a module, and the list now appears to be stored in a name (w) accessed by numtheory:-mersenne via lexical scoping. In case anyone's interested in seeing Maple's internal list, here's how to show it in Maple 12.&lt;/p&gt;
&lt;pre&gt;
eval([op(7,eval(numtheory:-mersenne))][2]);
&lt;/pre&gt;
&lt;p&gt;acer&lt;/p&gt;</itunes:summary>
      <description>The latest comments added to the Post, "New" Mersenne Primes</description>
      <guid>69598</guid>
      <pubDate>Mon, 29 Sep 2008 20:17:58 Z</pubDate>
      <itunes:author>acer</itunes:author>
      <author>acer</author>
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