A few days ago I came across this fascinating page about prime numbers, which I finally managed to find again:
http://www.numberspiral.com/index.html I have a feeling that these may be properties which I would have already been aware of, if I have spend more time studying mathematics. Actually, I may do just that, and in the near future, indeed. Looking to find again the above page, I came across this software: http://www.hermetic.ch/solo/pns.htm the demo version is not very impressive --one may hope for the full version. A short comment: The sequence of prime numbers appears to be random. It can even be proved easily that there is no algebraic polynomial which can produce only primes. Despite this, it seems that the apparently random and chaotic sequence of prime numbers is nevertheless containing some patterns. To make these patterns appear to our understanding, one has to approach the primes in a certain way. What do I mean with this "to approach the primes in a certain way?" Such an approach could be an arrangement of the primes in a certain way. For example, as the above page shows, by arranging the primes on a spiral, it turns out that they are distributed according to a pattern. In this note I used these terms 'random' and 'chaotic' in a rather loose fashion, though some of our members have just recently pointed out that this is only an empirical and inexact approach. But I have some things to attend to here, and so..., well, I must leave it here. _______________________ Lampros F. Kallenos "...EKANAN OISTRO THS ZWHS Idalion, Lefkosia TO FOBO TOU QANATOU" Kypros -- _______________________________________________ Prime mailing list [email protected] http://hogranch.com/mailman/listinfo/prime
