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 <title>Open Problem Garden - The 3n+1 conjecture - Comments</title>
 <link>http://openproblemgarden.org/op/strange_series</link>
 <description>Comments for &quot;The 3n+1 conjecture&quot;</description>
 <language>en</language>
<item>
 <title>Peter Schorer, again a possible proof  (re: The 3n+1 conjecture)</title>
 <link>http://openproblemgarden.org/op/strange_series#comment-75596</link>
 <description>&lt;p&gt;Just last month, July 2014, Schorer published another paper which uses similar methods as from his 2008 paper, claiming again to have proven the conjecture.  This is early, but I am wanting to know what the general opinion of Schorer is in the world of serious mathematicians.  All of my research has turned up mixed reviews and heated arguments.  &lt;/p&gt;
</description>
 <pubDate>Fri, 11 Jul 2014 04:00:31 +0200</pubDate>
 <dc:creator>Anonymous</dc:creator>
 <guid isPermaLink="false">comment 75596 at http://openproblemgarden.org</guid>
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 <title>In The 3x+1 Problem: An  (re: The 3n+1 conjecture)</title>
 <link>http://openproblemgarden.org/op/strange_series#comment-494</link>
 <description>&lt;p&gt;In &lt;a href=&quot;http://arxiv.org/abs/math.NT/0608208&quot;&gt;The 3x+1 Problem: An Annotated Bibliography, II (2001-)&lt;/a&gt;, Lagarias explains why this proof is incomplete.&lt;/p&gt;
</description>
 <pubDate>Wed, 11 Jun 2008 18:45:22 +0200</pubDate>
 <dc:creator>brenton</dc:creator>
 <guid isPermaLink="false">comment 494 at http://openproblemgarden.org</guid>
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 <title>Bruckman proved 3x+1 problem  (re: The 3n+1 conjecture)</title>
 <link>http://openproblemgarden.org/op/strange_series#comment-346</link>
 <description>&lt;p&gt;From PlanetMath&#039;s forums:&lt;/p&gt;
&lt;p&gt;&gt; Bruckman has published his proof of the conjecture in the International Journal of Mathematical Education in Science and Technology,&lt;br /&gt;
&gt; Vol 39, Issue 3 April 2008.&lt;/p&gt;
&lt;p&gt;--&lt;br /&gt;
Victor Porton - &lt;a href=&quot;http://www.mathematics21.org&quot; title=&quot;http://www.mathematics21.org&quot;&gt;http://www.mathematics21.org&lt;/a&gt;&lt;/p&gt;
</description>
 <pubDate>Wed, 09 Apr 2008 14:54:48 +0200</pubDate>
 <dc:creator>porton</dc:creator>
 <guid isPermaLink="false">comment 346 at http://openproblemgarden.org</guid>
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 <title>Somebody&#039;s efforts  (re: The 3n+1 conjecture)</title>
 <link>http://openproblemgarden.org/op/strange_series#comment-280</link>
 <description>&lt;p&gt;At &lt;a href=&quot;http://occampress.com/&quot; title=&quot;http://occampress.com/&quot;&gt;http://occampress.com/&lt;/a&gt; somebody publishes something about 3n+1 problem. Read him and check whether he is true.&lt;/p&gt;
&lt;p&gt;Victor Porton - &lt;a href=&quot;http://www.mathematics21.org&quot; title=&quot;http://www.mathematics21.org&quot;&gt;http://www.mathematics21.org&lt;/a&gt;&lt;/p&gt;
</description>
 <pubDate>Mon, 14 Jan 2008 12:57:11 +0100</pubDate>
 <dc:creator>porton</dc:creator>
 <guid isPermaLink="false">comment 280 at http://openproblemgarden.org</guid>
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<item>
 <title>The 3n+1 conjecture</title>
 <link>http://openproblemgarden.org/op/strange_series</link>
 <description>&lt;table cellspacing=&quot;10&quot;&gt;
&lt;tr&gt;
  &lt;td&gt;
    Author(s):
        &lt;a href=&quot;/category/collatz_lothar&quot;&gt;Collatz&lt;/a&gt;&amp;nbsp;&amp;nbsp;
  &lt;/td&gt;
  &lt;td align=right&gt;
    Subject:
        &lt;a href=&quot;/category/number_theory_0&quot;&gt;Number Theory&lt;/a&gt; » &lt;a href=&quot;/category/combinatorial_number_theory&quot;&gt;Combinatorial N.T.&lt;/a&gt;&amp;nbsp;&amp;nbsp;
  &lt;/td&gt;
&lt;/tr&gt;

&lt;tr&gt;
  &lt;td colspan=2&gt;
    &lt;table border=1 cellspacing=&quot;5&quot;&gt;
      &lt;tr&gt;&lt;td&gt;
        &lt;div class=&quot;envtheorem&quot;&gt;&lt;b&gt;Conjecture&lt;/b&gt;&amp;nbsp;&amp;nbsp; Let &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/339d05a000c9cb68d63271f7499f96acffcdac3c.png&quot; alt=&quot;$ f(n) = 3n+1 $&quot; /&gt; if &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/ec63d7020a64c039d5f6703b8fa3ab7393358b5b.png&quot; alt=&quot;$ n $&quot; /&gt; is odd and &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/47c7cad43f975e10b2fde6e5400bab9e4e47279a.png&quot; alt=&quot;$ \frac{n}{2} $&quot; /&gt; if &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/ec63d7020a64c039d5f6703b8fa3ab7393358b5b.png&quot; alt=&quot;$ n $&quot; /&gt; is even. Let &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/0a7539b5bc695b6fe1b592d46bd30b5b46a47003.png&quot; alt=&quot;$ f(1) = 1 $&quot; /&gt;. Assume we start with some number &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/ec63d7020a64c039d5f6703b8fa3ab7393358b5b.png&quot; alt=&quot;$ n $&quot; /&gt; and repeatedly take the &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/43374150a8a220f67049937b9790b7d28eb17fb9.png&quot; alt=&quot;$ f $&quot; /&gt; of the current number. Prove that no matter what the initial number is  we eventually reach &lt;img class=&quot;teximage&quot; src=&quot;/files/tex/f81bea742c6e484717a25f7b16835462361c1d2e.png&quot; alt=&quot;$ 1 $&quot; /&gt;. &lt;/div&gt;

      &lt;/tr&gt;&lt;/td&gt;
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&lt;/tr&gt;
&lt;/table&gt;</description>
 <category domain="http://openproblemgarden.org/category/collatz_lothar">Collatz, Lothar</category>
 <category domain="http://openproblemgarden.org/category/integer_sequence">integer sequence</category>
 <category domain="http://openproblemgarden.org/category/number_theory_0">Number Theory</category>
 <category domain="http://openproblemgarden.org/category/combinatorial_number_theory">Combinatorial Number Theory</category>
 <comments>http://openproblemgarden.org/op/strange_series#comment</comments>
 <pubDate>Fri, 13 Jul 2007 01:35:46 +0200</pubDate>
 <dc:creator>dododododo</dc:creator>
 <guid isPermaLink="false">432 at http://openproblemgarden.org</guid>
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