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Topic: Unexplained, confirmed reoccurring pattern in primes. Explanations?
Replies: 6   Last Post: May 24, 2012 7:03 AM

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 Daniel Saarimäki Posts: 5 Registered: 5/18/12
Re: Unexplained, confirmed reoccurring pattern in primes. Explanations?
Posted: May 24, 2012 7:03 AM
 Some graphs.grf (1.2 K) Function divided with cycles of 42 screenshot.png (53.9 K)

Here is another interesting finding.

I have already found out that, if you mark remainder with %, the sum of x%a-(x-1)%a while 1<a<x subtracted with x-2 gives always 0 when x is a prime and negative number if it's not. I graphed it with an open source software called Graph. Then I multiplied it with -1 to get positive results and then divided the whole bunch with x/42 rounded up to the next integer.

The resulting graph was interesting, as the highest result I found was somewhere at 110 whereas most of the results seemed to go below f(x)=42. I wasn't able to find a clear cycle from this one either but there seems to be some regularity in it.

I include a screenshot and a graph file with this message. You can open the graph file only with Graph (beta only). Software can be downloaded from http://www.padowan.dk/graph/Beta.php

Date Subject Author
5/13/12 Kenneth Lyon
5/18/12 Daniel Saarimäki
5/19/12 Daniel Saarimäki
5/19/12 Daniel Saarimäki
5/20/12 Kenneth Lyon
5/21/12 Daniel Saarimäki
5/24/12 Daniel Saarimäki