if we represented the prime numbers geometrically could we get a fractal pattern?... or are they self-similar?

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هاشم محمد حمزة

I think the geometric representation of the prime numbers if it written with a specific system, gives a pattern of fractals.

Tapas Chatterjee

What kind of geometric representation are you thinking? I think it should depend on the representation.

Issam Kaddoura

Dear Adiya K. Hussein ,

In general, the answer is not known yet, due to the fact that the distribution of primes is full of mysteries. There are many proved facts about prime distribution, such as there is a large gap between the consecutive large prime numbers and some similar results. But the complete behavior of prime distribution is still an open question.

One may paraphrase your question as:

Can we provide some geometrical (fractal pattern) to the prime numbers that may reveal some pattern?

This question can be considered as an OPEN QUESTION.

But no results guaranteed.

Best regards

Adiya K. Hussein

Thanks هاشم محمد حمزة for your valuable comment.

Thanks Tapas Chatterjee I mean to draw it and get a pattern that represents it.

Dear Issam Kaddoura

Thanks Dr. for all the information you have offered.

Thanks for rewriting the question correctly and that's what I mean.