%I #15 Apr 13 2024 22:20:09
%S 2,5,41,1031,46399,2803043,247140857,25627356863,3359824134707,
%T 525738142728791,86239154183764823,16043263583368582931,
%U 3203015861712721419161,765364544804215147351277,196164712685969109811322179,51407675872783850510756055649
%N a(n) = (p(1)*...*p(n)) + (p(n+1)*...*p(2n)) where p(n) is the n-th prime.
%F a(n) = A002110(n) + A107712(n).
%e a(5) = 2803043 because 2*3*5*7*11 + 13*17*19*23*29 = 2803043.
%p a:= n-> add(mul(ithprime(i+j), i=1..n), j=[0, n]):
%p seq(a(n), n=0..20); # _Alois P. Heinz_, Apr 13 2024
%Y Cf. A000040, A002110, A107712.
%K easy,nonn
%O 0,1
%A _Jason Earls_, May 12 2004