[seqfan] Re: Random question
Edwin Clark
eclark at math.usf.edu
Tue Jan 6 16:58:04 CET 2009
On Mon, 5 Jan 2009, David Wilson wrote:
> This question occurred to me when I was looking at another seqfan post.
>
> For integer k > 0, is it always possible to find prime p such that the
> concatenation kp is prime?
>
The sequence kp is already in OEIS:
http://www.research.att.com/~njas/sequences/A089777
and characterized as "easy". I guess this is because it is so easy to find
additional terms. In fact one can quickly find p among the first 148
primes for all k up to 10^6. And for over 30% of k <= 10^6, p = 3 or 7
will do. Proving there is always a suitable p is another matter!
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