This is episode 7 of the first series. Episode 6 had been a real low (slow and also almost no math).
Also episode 7 remains a bit too slow but it is compensated that is quite a bit of math in it (mostly
analytic number theory). We see integrals, zeta functions, a thesis "Prime numbers, finite fields and
their applications to cryptography" (a ridiculous title because it does not contain any information.
Prime numbers are naturally associated with finite fields and universally known to be central to
cryptography). One one of the pages (page 73), there is a proof of theorem 19, which stats that
{Germaine Primes smaller than x}/{Primes smaller than x} has a limit 1 which is wrong. While one does
not know that there are infinitely many Germaine primes, one can measure empirically that the ratio
is about 1/log(x). Germaine primes become more and more rare among primes.
See here for something
about Germaine Primes.
