Abstract
Not very much is known about the distribution of the primes. On one hand, their distribution in short intervals seems extremely irregular. This is the reason why it appears impossible to find a simple formula describing the distribution of the primes in any detail. On the other hand, the distribution of the primes, viewed at large, can be very well approximated by simple formulas.
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Riesel, H. (2011). The Primes Viewed at Large. In: Prime Numbers and Computer Methods for Factorization. Modern Birkhäuser Classics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8298-9_2
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