(adsbygoogle = window.adsbygoogle || []).push({}); Are primes just "random"?

What are the indications that primes follow some patterns and that maybe some day someone will find algorithmically simple rules for prime properties?

I was thinking that maybe one merely can prove that prime numbers exist, but they represent some highly complex something that never will reveal simple pattern.

Similarly to the Mandelbrot set, which is just a complex pattern - not completely random, but probably does not involve much more features beyond it's definition?

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# Are primes just random ?

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