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MathGroup Archive 2004

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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



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