Identification of fractional sequences
N. J. A. Sloane
njas at research.att.com
Sat Apr 21 16:01:18 CEST 2007
On 4/23/07, Andrew Plewe <aplewe at sbcglobal.net> wrote:
> Possible duplicates:
> Will the sequences A068310 and A086485 ever differ? Glancing at the problem
> I think they will at some value for n, but n would probably have to be very
> large. If not, then these are duplicates.
I don't understand. Their definitions look identical to me!
> On a similar note, A106766 and
> A119892 will probably differ at some point, too. It is kind of interesting
> that they match as well as they do.
Well, the digit sum must be the largest member of a prime trio, so the
first number where the sequences differ must be with digit sum 47, and
thus have at least 6 digits -- so until then you get all the primes
with 4 or 5 digits that have digit sum 29, and that's a lot of terms.
Similarly A119891 has all its entries having digit sum 11 for a long
while until the first 23 comes in.
--Joshua Zucker
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