Prime numbers

[Valentin Albillo]

.
Hi,

(03-22-2016 07:49 PM)Tugdual Wrote:  Do you think this is important?

Maybe. ArXiv.org is a repository of electronic preprints so the documents there usually haven't been subject to full peer review and thus it would be wise to wait and hold expectations till they actually have.

Quote:I'm not sure demonstrating that prime numbers somehow do not follow the distribution of random numbers is a discovery:

"the distribution of random numbers" is utterly vague, random numbers may come in many distributions: uniform distribution, Gaussian (normal) distribution, etc., etc.

Quote: they are not random numbers, they are prime numbers which can be divided by 1 and themselves.

In that sense, the decimal digits of Pi aren't random numbers either, they are perfectly determined by virtue of being the decimal representation of Pi. However, when subjected to statistical analysis they seem to behave as being random digits uniformly distributed (yet still formally unproven).

Quote:Also what answers are we ultimately seeking regarding prime numbers? I would say essentially finding a function f(n) that gives prime #n.

There are many such functions (formulas), with various degrees of usefulness. You can see a number of them here:

http://mathworld.wolfram.com/PrimeFormulas.html

V.
.