This is awesome. How can we access the code to play around with?
It is in an observable doc so you can fork it etc. https://beta.observablehq.com/@montyxcantsin/unwinding-the-u...
An Interesting Pattern in the Prime Numbers: Parallax Compression
11–20 of 195 posts
Re: An Interesting Pattern in the Prime Numbers: Parallax Compression
#12Earlier quoted context omitted.
Come on, does every cool thing need a stamp of approval by "experts" before publication? "SQLite looks nice, but I would have double checked with Oracle engineers before announcing this as something novel"
Well, to some extent, yes. Otherwise you’d end up like the MD who’ve “rediscovered” numerical integration (the trapezoid method) and got it published in the journal of diabetes or whatever.
What's the harm in that ?
Re: An Interesting Pattern in the Prime Numbers: Parallax Compression
#13Earlier quoted context omitted.
Come on, does every cool thing need a stamp of approval by "experts" before publication? "SQLite looks nice, but I would have double checked with Oracle engineers before announcing this as something novel"
Well, to some extent, yes. Otherwise you’d end up like the MD who’ve “rediscovered” numerical integration (the trapezoid method) and got it published in the journal of diabetes or whatever.
So mathematicians should be reviewing papers in the Journal of Diabetes? I think that the Journal of Diabetes should just stay in its lane.
Re: An Interesting Pattern in the Prime Numbers: Parallax Compression
#14My gut sense is that this has something to do with visualizing the sieve of Eratosthenes, and nothing more than that. But I'd be happy to hear otherwise.
Re: An Interesting Pattern in the Prime Numbers: Parallax Compression
#15Yep - we are not claiming to be mathematicians, we're pattern hunters... this is an open invitation to others with more expertise to chime in and help figure this out... it's possible it is a minor discovery or even not a discovery... or it could be useful or even very useful. We don't know. Please help us explore it!
Re: An Interesting Pattern in the Prime Numbers: Parallax Compression
#16I wonder if there's a pattern to how many primes per cells-with-primes.
Re: An Interesting Pattern in the Prime Numbers: Parallax Compression
#17Is there are particular reasoning or meaning to each dot being 6 numbers? Is there any significant changes if you pick other numbers per dot, following the same pattern?
Based on the linked explanation here: https://beta.observablehq.com/@montyxcantsin/unwinding-the-u...
Re: An Interesting Pattern in the Prime Numbers: Parallax Compression
#18From a cryptography standpoint, could this hint at attack vectors for things like discrete log problems?
I've only learned of the math behind that myself recently, not sure what implications having a "topographical map of the primes" could have, especially if the pattern is relf-repeating regardless of the size of the primes.
Re: An Interesting Pattern in the Prime Numbers: Parallax Compression
#19The pattern looks nice, but I would have asked some mathematicians before announcing this as something novel.
I understand what you mean, but how many great breakthroughs in history were where someone shared the foundation of an idea and then another formalized it?
Re: An Interesting Pattern in the Prime Numbers: Parallax Compression
#20> on January 18, 2018, I found a numerical sequence that generated the exact same pattern as Shaun’s pattern
Does this mean that we have a sort of bloom filter-esque test for primality? (ie, it will give you a guaranteed no in O(1) but you'll have to crunch numbers to get the yes?)
If so, are there implications for things that want to know "is it prime?" quickly? Crpytography comes to mind, for instance...