Re: Anyone know something about this problem?

From: Edward Green (spamspamspam3_at_netzero.com)
Date: 11/22/04 

Date: 21 Nov 2004 23:18:26 -0800

mmeron@cars3.uchicago.edu wrote in message news:<wGind.21$25.5431@news.uchicago.edu>...
> In article <cnkccn$c3t$1@nntp.itservices.ubc.ca>, israel@math.ubc.ca (Robert Israel) writes:
> >In article <58eeb2f3.0411181506.de20dfe@posting.google.com>,
> >Adi Anant <aryamihir@hotmail.com> wrote:
> >>If I type random series of digits, what is the probability that a
> >>length of n such digits makes a prime number?
> >>For ex., 23867234231001
> >>2 is prime, 23 is prime, 238 is not prime etc.
> >>Anyone know if such a probability can be calculated (even if it needs
> >>a data set of 10 million sequential prime numbers, say).
> >
> >My guess is that the question is this: given a random sequence of
> >decimal digits (independent, 0 to 9 equally likely), what is the
> >probability that some initial segment is a prime number?
>
> That's one possible take on it, yes.
>
> >I believe the answer is 1, although it doesn't seem easy to prove
> >(in particular I don't think the Prime Number Theorem is enough to
> >prove it). What is easy from the PNT is that the expected value
> >of the number of initial segments that are prime is infinite, but
> >this isn't enough.
>
> I think it at least tends to 1. Assuming the question is as
> interpreted above.

Interesting that as you and others attempted to interpret the oracle,
the oracle himself kept silent. I guess that's how it goes in the
oracle game: if you start explaining "well, when I said that the sun
would go black in August, what I really meant is...", you just lose
all credibility. ;-)

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