rnd() looks random until you understand it. So does a Mersenne Twister output, which I believe is the core of most Monte Carlo cycles.
Quote:
The distribution of prime numbers is quite random.
Is it? Or is the rationale behind the distribution not described yet. Is it an artifact of what creates it?
The data for the following charts came from prime numbers. The first chart (pertaining to the 50th through 150th prime numbers) gives the best illustration of how the functions are getting closer to zero as the primes get larger. The red (E�) function is how much the values for the blue (E') function are changing. In some respects you can see it's not random, but in others it sure looks as though it is...
(Click thumbnails for full-size image, then click that one to magnify it; they're ~1 MB each)
Thanks Chipper Q! ...and
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Thanks Chipper Q!
...and we always learn some new things. :)
So, this is the 1483608th Euclid Number.
RE: rnd() looks random
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The data for the following charts came from prime numbers. The first chart (pertaining to the 50th through 150th prime numbers) gives the best illustration of how the functions are getting closer to zero as the primes get larger. The red (E�) function is how much the values for the blue (E') function are changing. In some respects you can see it's not random, but in others it sure looks as though it is...
(Click thumbnails for full-size image, then click that one to magnify it; they're ~1 MB each)
I still find the concept
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I still find the concept puzzling. I doubt I'll be contributing to any of the prime search projects.
Wave upon wave of demented avengers march cheerfully out of obscurity into the dream.
