[seqfan] Last term?

[Eric Angelini]

Hello SeqFans,
What is the last term of the zeroless seq S?

S=1,21,2,22,23,24,25,111,26,1111,27,22222,3,4,5,28,222222,6,7,8,9,29,...

The length of the successive integers
is given by the successive digits of S
itself:
Slenghts = 1,2,1,2,2,2,2,3,2,4,2,5,1,1,1,...

S was always extended with the smallest
integer not occuring earlier and not
leading to a contradiction.

Note that S will show only nine 1's
as there are only nine 1-digit integers
in Z (all zeroes are forbidden in S as
a zero would produce an integer of
length zero later -- which has no sense).
(we could have decided that zero produces 
a 10-digit integer later in the seq. --
but we didn't select this option here).

Best,
É.

P.-S.
The seq. P obeys the same rules -- but
all terms of P must be primes: what
is the last term of P? 

Catapulté de mon aPhone