Composites between primes

[Emeric Deutsch]

It is sequence A046933.
Here is a Maple program giving the first 100 terms.
seq(ithprime(n+1)-ithprime(n)-1,n=1..100);
   0, 1, 1, 3, 1, 3, 1, 3, 5, 1, 5, 3, 1, 3, 5, 5, 1, 5, 3, 1, 5, 3, 5,

         7, 3, 1, 3, 1, 3, 13, 3, 5, 1, 9, 1, 5, 5, 3, 5, 5, 1, 9, 1,

         3, 1, 11, 11, 3, 1, 3, 5, 1, 9, 5, 5, 5, 1, 5, 3, 1, 9, 13, 3,

         1, 3, 13, 5, 9, 1, 3, 5, 7, 5, 5, 3, 5, 7, 3, 7, 9, 1, 9, 1,

         5, 3, 5, 7, 3, 1, 3, 11, 7, 3, 7, 3, 5, 11, 1, 17, 5

Emeric 
On Wed, 1 Feb 2006, Eric Angelini wrote:

>
> Hello SeqFan,
> is this of interest?
>
> 2,4,6,7,8,9,10,12,13,14,15,16,18,20,21,23,24,25,26,27,28,30,32,37...
> P ^ ^ P ^ ^ ^  ^  P.  ^  ^  ^  ^ ^  ^  P. ^  ^  ^  ^  ^  ^  ^  P.
>   2       4                 6                    7   ...
>
> Self-describing sequence : A(n) indicates the quantity
> of composite numbers which are between two successive
> primes.
> (this is not an accurate definition -- please help me to
> rephrase!)
>
> If this is of interest, could someone compute more terms?
>
> best,
> É.
>
>
>
>
>