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Kenneth Lyon
Posts:
2
From:
Fort Smith, AR
Registered:
5/13/12
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Re: Unexplained, confirmed reoccurring pattern in primes. Explanations?
Posted:
May 20, 2012 7:19 PM
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As you've noticed, there's a number of curious facets to it. Things that seem to correlate with some meaningful undertow. But what? It's a frustratingly allusive problem, but certainly one fun to look for. I suspect you'd end up a Nobel Laureate if you really managed to answer that one though!
From what I've seen, it's the curves around the dataset that are the most immediately interesting however. There seems to be a predictable depreciation in regularity that if a constant could be derived from would prove an interesting way to, for example, predict the probability and density of primes within a specified range.
Beyond that is the question of clustering behavior. There are 4096 variants possible, but using the aforementioned constant you might calculate the probability of a ranges' surrounding primes. In the hunt for massive primes, that might provide an interesting method for determining computational time appropriate for examining various prime candidates. Obviously, I'm brainstorming here however.
Still the sheer irony/appropriateness of 42, given it's historical roots, as having a fundamentally pervasive impact upon the progression of primes remains something I am ceaselessly curious about finding a solid explanation for. It's just too coincidental of a pattern to drop easily!
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