[seqfan] Phenix seq by (prime-next term) operation

[Éric Angelini]

Hello SeqFans,
If we call R the result of [a(n)-a(n+1) when a(n) is prime],
then the successive such Rs will rebuild S itself:
S = 1, 5, 4, 11, 6, 13, 9, 19, 8, 29, 23, 10, 31, 22, 37, 18,...
S should be the lexicographically earliest seq of distinct 
positive terms with a(1)=1  and the obligation for nonprimes 
to be followed by at least one prime. [This is why a(2),
above, is not 4, for instance].
Best,
É.
P.-S.
If a member M of the list thinks that 
a seq S proposed by me is worth entering 
the OEIS, I will donate 1$ to the OEIS
and 2$ to M -- provided that M does
check my seq S, extend it, compute a
b-file, fill properly the OEIS form, 
submit it as a draft and follow the 
requests of the Correction Team.
M will be at least the co-author of
the seq S (or better, the only author),
as M will take all the decisions about
S by himself, not needing to refer in 
any way to me. This deal applies 
immediately to the above S (and yes,
I will use Paypal the very day any S 
fully enters the OEIS).