Re: Prime numbers


luiroto@xxxxxxxxx wrote:
I always tell my students to look for the pattern. I believe whole
heartedly that theres a definite ordering to the prime numbers. >
Derek

Ordering of the prime numbers?
The prime numbers are produced by the algorithm of the Eratosthenes
Sieve. That algorithm is equivalent to a Pseudorandom Generator.
It is a Chaos generator. Each pass for deleting the multiples of a
given
prime produces new primes with different gaps that have a devastating
efect
in the distant numbers. Example: Between 1322 and 1422 there are
only 7 primes while between 1423 and 1523 there are 18.
Moreover the quantity of primes by equal intervals follows a
statistical
distribution known as the Gauss Distribution.

Pseudorandom generator.-
"Sequences generated in a deterministic way, as multiplying 10-digit
numbers
and extracting the ten middle digits, are called pseudo-random
sequences."
D.
Knuth. Stanford University
Chaos.-
"Non-periodicity, divergency and mixing are the caharacteritic of
Chaos"
J.M.Thomson University
College of London

"Une des hypotheses les plus interesantes auxquelles conduisent les
etudes statistiques peut etre appelee l' hypothese du hasard qui
conduisse
a considerer la distribution des nombres premiers comme une
distribution
Binomial que a l' infinie se confond avec une Laplce-Gauss."
Emil Borel. Membre de l'
Institute de France

.

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