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Are prime fractals, or have a fractal geometry ? 
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#1
Jun209, 05:19 AM

P: 399

my idea is, if we consider the geometry of primes could we conclude they form a fractal ? , for example if we represent all the primes using a computer, it will give us a fractal pattern.
according to a paper http://arxiv.org/PS_cache/chaodyn/p.../9406003v1.pdf zeta function (which is just a product of primes for s >1) could be a fractal, but how about primes ?¿? 


#2
Jun209, 11:50 AM

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P: 3,684

In what sense are you saying the primes are (or may be) fractals? Are they selfsimilar? Do they have noninteger dimension?



#3
Jun209, 02:07 PM

P: 399

my question is, if we use the Sieve of Eratosthenes.. for big scales (let us say 1000000000000000000000000 primes or similar) then the picture drawn is a fractal, for example.



#4
Jun309, 04:10 PM

P: 995

Are prime fractals, or have a fractal geometry ?
If I interpret your question correctly: no, they don't, because of the prime number theorem.



#5
Nov1809, 09:21 AM

P: 1




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