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do we have any understanding for the distribution of prime numbers

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do we have any understanding for the distribution of prime numbers or than their basic definition? we have a way to calculate PARTICULAR primes, but is there a pattern or sequence which could simplify, or rather, encapsulate their representation as some algebraic or differential structure?
>>
>>8457999 hint::::
*hint*
Superior highly composite numbers. hint hint hint
*hint*
>>
>>8457999
The riemann zeta function tells you about the distribution of primes and the riemann hypothesis says they are distributed as randomly as possible.
>>
>>8458397
/thread
this is elementary shit, op. get it together
>>
>>8458421
>>8458397
then what is the mathematical definition of randomness in this context? are you saying primes ARE randomness embodied?
>>
the prime number states that as x approaches infinity, the number of primes less than or equal to x approaches x/log(x).
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