[seqfan] Re: A090709 Decimal primes whose decimal representation in base 6 is also prime.

[Charles Greathouse]

I agree that the name is lacking. I suggest

Primes p such that the base-6 representation of p, read in decimal, is also
prime.

or

Primes with a base-6 representation which, read in decimal, is also prime.

but you may have better ideas.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University


On Fri, Jan 3, 2014 at 4:10 AM, Veikko Pohjola <veikko at nordem.fi> wrote:

> Dear seqfans,
>
> A090709 lists the numbers which are obtained by converting first all
> (decimal) primes into base 6 and then keeping those whose digits make a
> decimal prime. The title of the sequence is "Decimal primes whose decimal
> representation in base 6 is also prime". Maybe I misunderstand what the
> title says, but I would expect the sequence to be composed of those decimal
> primes, which after conversion yield the appropriate digits, but not the
> primes which the digits make.
>
> The example given by the author tells that  "19 is prime in decimal and 19
> base 6 is 31, which is also prime in decimal". I would thus expect 19 to be
> the prime that the title refers to rather than 31. Hereby the title, as it
> is written, would actually refer to A065724 titled "Primes p such that the
> decimal representation of its base 6 conversion is also prime". The example
> given for  A065724 is formally identical with the example above: "19(10) =
> 31(6) is prime but also 31(10)".
>
> Should the title of A090709 be deciphered or is it only my insufficient
> English which is the problem here?
> Veikko
>
>
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