[seqfan] Fun with prime runs

[Eric Angelini]

Hello again SeqFans,
more from our "Silly Sequences' Storage".

Here is P:

P is a permutation of the Naturals (by definition) and
P self-describes its own prime runs' sizes of 
concatenated terms:

P=2,3,1,4,23,5,6,7,8,19,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,X,...

-concatenating the first 2 terms produces a prime --> 2+3 = '23'
-concatenating the next  3 terms produces a prime --> 1+4+23 = '1423'
-concatenating the next  1 term  produces a prime --> '5'
-concatenating the next  4 terms produces a prime --> 6+7+8+19 = '67819'
-concatenating the next 23 terms produces a prime --> but which one?

... I'm not sure that the term X (after 32), is computable...

As always, "in building this sequence, always use the smallest available
integer not leading to a contradiction"...
Best,
É.