are prime fractals, or have a fractal geometry ??

[zetafunction]

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/chao-dyn/pdf/9406/9406003v1.pdf

zeta function (which is just a product of primes for s >1) could be a fractal, but how about primes ?¿?

[CRGreathouse]

In what sense are you saying the primes are (or may be) fractals? Are they self-similar? Do they have non-integer dimension?

[zetafunction]

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.

[Dragonfall]

If I interpret your question correctly: no, they don't, because of the prime number theorem.