[seqfan] Re: Smallest prime with a substring of exactly n zeros

[Neil Sloane]

I added a comment to A037053 saying that this is different (at n=32 for the
first time) from the smallest prime with n consecutive zeros. What is the
smallest prime with 32 consecutive zeros?  Could someone tell me, or better
still, insert it in the new comment in A037053?

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com


On Sat, Feb 20, 2016 at 1:02 AM, Hans Havermann <gladhobo at teksavvy.com>
wrote:

> https://oeis.org/A037053
>
> There's already a conjecture there from Robert G. Wilson v suggesting the
> opposite (that two zero-substrings suffice). I tend to agree with that. The
> lengths of the second substring (for terms that require it) are relatively
> small compared to the lengths of the first. And (I think) we're only on the
> first of nine possible initial digits. It should be possible to estimate
> how many candidate numbers are available, given n, and multiply that with
> the probability of a number of that size being prime.
>
> > On Feb 19, 2016, at 6:29 PM, Bob Selcoe <rselcoe at entouchonline.net>
> wrote:
> >
> > It would be interesting to see if any terms have three or more
> substrings of zeros.  My guess is yes...
>
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