Composites between primes

[Eric Angelini]

> 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!)

[Max]:
- But where are primes 3,5,11,etc. in the first row?

[Me]:

The sequence is strictly increasing : I cannot use the prime "3",
for instance, as it cannot be placed after "2" because I would have
a false "statement" :

          2,3,4,6,7...
          ^
... this "2" means : "there are two composite integers between me and
the next available prime" ("available" knowing that the seq. is monotonous)

Best,
É.
(incredibly bad in Shakespeare's idiom -- and 101010 more)