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Carlos started his investigations into the properties of prime numbers by drawing a series of circles on a number line in AutoCAD. These circles were of diameters of all the integers, and going down the number line, these circles started to have an interesting, chaotic pattern (see above picture). Carlos found that whenever two circles intersected, that position was a prime number. It’s really nothing more than a Sieve of Eratosthenes, but it’s a very cool-looking visualization nonetheless. Here are some links and videos explaining how he created these great prime visualizations.
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I know I'm late to this, but I just have to put this here... I developed my graphic sieve back in 2009, Jason Davies developed his own in 2012, so I was over 2 years ahead of him. I would be extremely surprised if he hadn't seen my website when researching primes. If you go to my Youtube channel (carluchoparis), you will see my oldest prime number sieve videos date back to December of 2009... My work was absolutely and completely independent, whereas Jason credits Omar E. Pol's methods in his work... I even contacted Omar in 2010, when I found his site, and told him about my own site... I have not been contacted by Jason, but I doubt he is oblivious of my work.
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Where's your site?
I have a similar story. I developed my proof of the Extended Midy's Theorem back in 2004. When I first did a search for anything similar, in 2003, I didn't find anything. By the time I completed it (2004), I had some open questions at the end that I couldn't resolve, I searched the web again and came across Brian Ginsberg's name in one of the MAA magazines. I bought that magazine to see if he'd beaten me to it, but he had only proven it for three equal parts. I submitted mine to the MAA, but it was rejected for not being an article. Someone here at CP must have seen it on my website and added it to Wikipedia soon after (I've always had a PDF and LaTex copy on my website). A month later, a few different, but mathematically identical, proofs came up for generalizing the original theorem like I did. Last year, my name and PDF link were removed from Wikipedia for not being a published work (I'm still in the history pages) and references to other people's works appeared instead. I tried posting it to arXiv, but you need references for that site. It sucks seeing other people's names in lights when you know you came first.
modified 4-Jan-13 19:47pm.
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I found your YouTube site. I've seen it before and linked to it in my math blog. Good stuff!
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Thank you!
My website is www.sievesofchaos.com
I named it sievesofchaos because I was baffled that factors presented such a "random/chaotic" pattern in the graphic sieve...
It's too bad about your proof... Sometimes history isn't too fair to great achievements, but I always keep Carl Sagan's quote in the back of my head
"When you make the finding yourself, even if you're the last person on earth to see the light, you will always remember it..."
Cheers
Carlos
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