[seqfan] Re: 13532385396179 precursors

[Neil Sloane]

Neat!  So there are surely infinitely many counterexamples
(even though there is no proof that a prime prefix exists,
it should exist on probabilistic grounds - take your Huge number H =
13^532385396179,
take the first k digits,
that is a prime with prob 1/k, and Sum 1/k diverges)

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 Fri, Jun 9, 2017 at 11:42 PM, Hans Havermann <gladhobo at bell.net> wrote:

> > Will this process eventually end? Are the total number of precursors,
> precursors of precursors, precursors of precursors of precursors, etc.
> finite?
>
> Think about the number 13^532385396179. Take some of its initial decimal
> digits that make those digits prime and raise this to the power of the rest
> of the digits. Now you have a new (larger) number. Repeat.
>
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