<story><title>Prime Number Spiral</title><url>http://www.numberspiral.com/index.html</url></story><parent_chain><item><author>Pica_soO</author><text>Fascinating. And dangerous.&lt;p&gt;If you see a pattern and you search a explanation for it, you can get wrapped up in the hunt and end up investing a lot of time into a wild goose chase.&lt;p&gt;Our math profs warned us to do this, because if you zoom out wide enough, there is a pattern in every noise. As a undergrad, i got obsessed with the idea of creating a meaningful divide by zero operation.&lt;p&gt;The result, if i remember correctly, was a &amp;quot;fractal&amp;quot; cave, interconnected, the walls defined by aggregated infinitys reseeded by the &amp;quot;echos&amp;quot; of all previous caves until the next &amp;quot;digit&amp;quot; of the original seed number is reached. What a useless operation, one might think- but i got obsessed with it, because it generated sequences.
1&amp;#x2F;0 = |1|0&amp;#x2F;0=1|2|3|5&lt;p&gt;Some of the results started to look like the fibonacci-sequence(its basically a algorithm mapped to infinity echoing back and forth along the cave-walls after all) and i lost a semester chasing this numeric day dream. :(&lt;p&gt;Shame on me, i woke up when my math prof zoomed out over some random pattern revealing &amp;quot;patterns&amp;quot;. The Truth is, we humans want to see patterns. Desperately. So desperatly it can eat lives.&lt;p&gt;Still a fascinating read, can fully recommend. But wake up if you what you find eats you.&lt;p&gt;PS: To double my shame, i did never publish this. So if you venture down the rabbit sinkhole, put a warning sign up.</text></item></parent_chain><comment><author>robertelder</author><text>But there is a pattern.  It&amp;#x27;s just a simple sum over all non-trivial zeros of the Riemann Zeta function[1].  It will pop right out at you if you take a look at the proof for the Riemann hypothesis (an exercise left to the reader).  Also, speaking of Riemann, division by zero is also spoken for[2]&lt;p&gt;[1]  &lt;a href=&quot;https:&amp;#x2F;&amp;#x2F;en.wikipedia.org&amp;#x2F;wiki&amp;#x2F;Explicit_formulae_(L-function)&quot; rel=&quot;nofollow&quot;&gt;https:&amp;#x2F;&amp;#x2F;en.wikipedia.org&amp;#x2F;wiki&amp;#x2F;Explicit_formulae_(L-function)&lt;/a&gt;&lt;p&gt;[2]  &lt;a href=&quot;https:&amp;#x2F;&amp;#x2F;en.wikipedia.org&amp;#x2F;wiki&amp;#x2F;Riemann_sphere&quot; rel=&quot;nofollow&quot;&gt;https:&amp;#x2F;&amp;#x2F;en.wikipedia.org&amp;#x2F;wiki&amp;#x2F;Riemann_sphere&lt;/a&gt;</text></comment>
<story><title>Prime Number Spiral</title><url>http://www.numberspiral.com/index.html</url></story><parent_chain><item><author>Pica_soO</author><text>Fascinating. And dangerous.&lt;p&gt;If you see a pattern and you search a explanation for it, you can get wrapped up in the hunt and end up investing a lot of time into a wild goose chase.&lt;p&gt;Our math profs warned us to do this, because if you zoom out wide enough, there is a pattern in every noise. As a undergrad, i got obsessed with the idea of creating a meaningful divide by zero operation.&lt;p&gt;The result, if i remember correctly, was a &amp;quot;fractal&amp;quot; cave, interconnected, the walls defined by aggregated infinitys reseeded by the &amp;quot;echos&amp;quot; of all previous caves until the next &amp;quot;digit&amp;quot; of the original seed number is reached. What a useless operation, one might think- but i got obsessed with it, because it generated sequences.
1&amp;#x2F;0 = |1|0&amp;#x2F;0=1|2|3|5&lt;p&gt;Some of the results started to look like the fibonacci-sequence(its basically a algorithm mapped to infinity echoing back and forth along the cave-walls after all) and i lost a semester chasing this numeric day dream. :(&lt;p&gt;Shame on me, i woke up when my math prof zoomed out over some random pattern revealing &amp;quot;patterns&amp;quot;. The Truth is, we humans want to see patterns. Desperately. So desperatly it can eat lives.&lt;p&gt;Still a fascinating read, can fully recommend. But wake up if you what you find eats you.&lt;p&gt;PS: To double my shame, i did never publish this. So if you venture down the rabbit sinkhole, put a warning sign up.</text></item></parent_chain><comment><author>drvdevd</author><text>I haven&amp;#x27;t read the article yet but your comment just reminded me of one of my all-time favorite movies:  Pi (1998). Please watch it if you haven&amp;#x27;t!&lt;p&gt;[edit] took a look and this is quite beautiful. Of course the search for a pattern in the primes &lt;i&gt;could&lt;/i&gt; easily take over your mind...</text></comment>