Question about A096461

[T. D. Noe]

may be I was kidding with the 5 % story .
But, the left margin ....



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----- Original Message ----- 
From: <franktaw at netscape.net>
To: <jacques.tramu at echolalie.com>; <Eric.Angelini at kntv.be>; 
<seqfan at ext.jussieu.fr>
Sent: Tuesday, June 26, 2007 10:20 PM
Subject: Re: Hofstadteriana with primes


> This is almost certainly wrong.  The limit is almost certain to be 0, on 
> probabilistic grounds.  One would expect it to decline gradually (roughly 
> on the order of 1/log(n)), so you need to look at an exponential sequence 
> of values to see it, not (as Jacques did) a linearly increasing sequence.
>
> E.g., using his data,
>
> 3000 38857028 194 6.4666666667
> 6000 169071260 354 5.9000000000
> 12000 730829204 642 5.3500000000
> 24000 3141343994 1193 4.9708333333
>
> Franklin T. Adams-Watters
>
> -----Original Message-----
> From: Jacques Tramu <jacques.tramu at echolalie.com>
>
> From: "Eric Angelini" <Eric.Angelini at kntv.be>
>> S = 1   3   8   15  26  39  56  75  98  127  158  195  236  279
> 326...
>> d =   2   5   7   11  13  17  19  23  29   31   37   41   43   47 ...
>>
>> - start S with 1
>> - add the smallest prime not yet added and not already present in S
>>
>> Question:
>> - What could be the ratio primes/composites of S?
>
> ...
>
> I have a proof that the limit of the ratio is 5%, unfortunately,
> the left margin of this sheet of paper is too small ....
>
>
>
>
>
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