two further puzzles

[N. J. A. Sloane]

Two unintended puzzles!
These two were submitted today. The email address is bogus.
Can anyone figure them out?

Neil

PS If you look at "Recent additions", you will notice
that I have been using my "vacation" to add a bunch
of sequences that have been lying around on my desk for a long time!


%I A112037
%S A112037 2,3,5,11,7,23,13,29,41
%N A112037 Primes used to build primes as product_{1,i} p_i + 1, ordered by first use.
%e A112037 5, 11, 7, because they are not used before: 11=(2*5) + 1 ; 23 = (2*11) + 1 ; 29 = (2*2*7) + 1
%Y A112037 Cf. A112038.
%K A112037 easy,nonn,uned,obsc,more,new
%O A112037 1,1
%A A112037 Michel Dauchez (mdzdm(AT)yahoo.fr), Nov 28 2005
%E A112037 Not clear to me. I asked the author for more details, but the address given does not work. - njas

%I A112038
%S A112038 5,7,11,23,29,47,53,59,83
%N A112038 Primes built as product_{1,i} p_i + 1 using first prime not used before.
%e A112038 11, 23, 29 because 11=(2*5) + 1 ; 23 = (2*11) + 1 ; 29 = (2*2*7) + 1 and 5, 11, 7 unused.
%Y A112038 Cf. A112037.
%K A112038 easy,nonn,uned,obsc,more,new
%O A112038 1,1
%A A112038 Michel Dauchez (mdzdm(AT)yahoo.fr), Nov 28 2005
%E A112038 Not clear to me. I asked the author for more details, but the address given does not work. - njas