Re: equal distribution of last digits base ten in the primes by b-normality

*To*: mathgroup at smc.vnet.net*Subject*: [mg52163] Re: equal distribution of last digits base ten in the primes by b-normality*From*: Roger Bagula <tftn at earthlink.net>*Date*: Sat, 13 Nov 2004 04:40:12 -0500 (EST)*References*: <200411110952.EAA28808@smc.vnet.net> <cn1odr$eq6$1@smc.vnet.net>*Reply-to*: tftn at earthlink.net*Sender*: owner-wri-mathgroup at wolfram.com

A lot of other people ( myself included) didn't know there was an "ancient" proof of this for the Prime digits either. I'm still having trouble with finding examples that aren't b-normal. If anybody knows of such sums and their iterators please let me know. Daniel Lichtblau wrote: > > >> >> > >I fail to see this. > >"On the random character of fundamental constant expressions" (2000) by >David H. Bailey and Richard E. Crandall shows that (among many other >things), subject to a certain hypothesis about a class of iterated map, >Pi is normal to base 16. Perhaps further work has been done in this area >since then. My very limited understanding from that article is that they >proved that for Pi the map does not have a finite attractor and hence >the second case of the hypothesis can be used. > >I do not see how the iterations above fall into that hypothesis, or how >one might prove there is no finite attractor. > >Daniel Lichtblau >Wolfram Research > > > -- Respectfully, Roger L. Bagula tftn at earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 : alternative email: rlbtftn at netscape.net URL : http://home.earthlink.net/~tftn

**References**:**equal distribution of last digits base ten in the primes by b-normality***From:*Roger Bagula <tftn@earthlink.net>