07 - The Prime Number Theorem (What It Does And Doesn't Say)

After seeing the experimental evidence for it last time, in this video we introduce the famous Prime Number Theory - and in particular we focus on what it really says, and what it doesn't say.
We also:
* introduce asymptotic equivalence
* show that both approximations n/ln(x) and li(x) are asymptotically equivalent
* show how to the PNT can give easy insights into the primes, using Bertrand's Postulate as an example
Slides:
github.com/rze...
Blog:
fromprimestori...
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Gymnopedie No 3 by Kevin MacLeod is licensed under a Creative Commons Attribution licence (creativecommon...)
Source: incompetech.com...
Artist: incompetech.com/