[seqfan] Re: More terms for A195265 and A230305 ?

Neil Sloane njasloane at gmail.com
Tue Oct 29 15:46:47 CET 2013

The two answers on the Stack Exchange link that Hans found are more
convincing than my argument, and tell us that for these
"home prime" type trajectories, if we haven't reached
a prime early on, and the numbers appear to be huge and growing
rapidly, then probably we will never reach a prime.

On Mon, Oct 28, 2013 at 11:50 PM, Hans Havermann <gladhobo at teksavvy.com>wrote:

> Could someone who has a better comprehension of mathematics than I, tell
> me if the arguments/answers at StackExchange here <
> http://math.stackexchange.com/questions/437759/number-of-digits-until-a-prime-is-reached> relate to the problem at hand?
> On Oct 28, 2013, at 4:59 PM, Neil Sloane <njasloane at gmail.com> wrote:
> > Sean, here is why there is a chance that we will hit a prime eventually:
> >
> > suppose the k-th term was about 10^2k. the chance of hitting a prime
> around
> > there is about 1/(2k) (ignoring constants). But the sum 1/(2k), k= m to
> > infinity, diverges, although very very slowly (look at A004080)
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Dear Friends, I have now retired from AT&T. New coordinates:

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

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