A110907 has been deleted

Maximilian Hasler Maximilian.Hasler at martinique.univ-ag.fr
Tue Apr 15 16:50:58 CEST 2008


>  Dear Seqfans,  there are quite a few messages
>  about this sequence in my huge stack of emails.
>  %I A110907
>  %S A110907 1,2,6,12
>
>  It seems very likely that there are no further terms,
>  and as this string of numbers is very short and has
>  no distinguishing features, I have deleted it.

Neil,

I understood that you are very busy so I won't ask you to do it,
but one could have merged the information into the
sequence of numerators, A046717, and denominators A015518.
(in both seq. a corresp. comment is there but xref to either of the
other two is missing ;
one could just add "for numerators / denom. see Axxx ; indices for
which both are prime are 1,2,6,12 (can there be any other?)").

In fact, there are many sequences defined as "Starting a priori with
the fraction ..." (search for this to see them all)
and usually (always(?)) the resulting sequences of numer & denom are
always coprime (without reduction) and thus follow a simple recurrent
equation which is usually missing.

And the lenthy definitions "Starting......, list n if numer & denom
are both prime..."
should be changed to %C and %N replaced by "n such that Axxx and Ayyy
are both prime".

In the present case (A110907) one can say that numerators A046717(n)
are prime for n in A096723. (The n in these seq. correspond to
A110907(n-1))
For denominators it is detailed in A015518 that all primes >2 are of
the form (3^n + 1)/4 with n prime, such n's are listed in A007658.

Maximilian

PS:
%N A096723 Numbers n such that 3^n has the form 2p-+1 where p is prime.
why not:
%N A096723 Numbers n such that (3^n+-1)/2 is prime.
%C A096723 Except for a(1)=1, indices of primes in A046717. A028491 is
a subsequence.

%C A088553 Primes in A046717.

%C A046717 Primes a(n) are listed in A088553, corresponding indices in A096723.





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