%I #9 Nov 29 2019 20:30:09
%S 1,3,12,60,390,3320,35570,471620,7543118,142663878,3136936508,
%T 79061105312,2256802761948,72223691097344
%N a(1)=1; for n >= 1, a(n+1) is minimal such that there are a(n) primes strictly between a(n) and a(n+1).
%C 3 is the only prime in the sequence.
%e There are 3 primes (5,7,11) between 3 and the next term 12.
%t a[1]=1; a[2]=3; a[n_] := a[n]=1+Prime[1+Sum[a[i], {i, 1, n-1}]]
%Y Cf. A082279.
%K more,nonn
%O 1,2
%A _Amarnath Murthy_, Apr 13 2003
%E Better description from _Vladeta Jovovic_, Apr 15 2003
%E a(14) from _Chai Wah Wu_, Nov 29 2019