%I #2 Mar 30 2012 18:40:50
%S 2,5,10,17,40,759,5798,39922599,518924198,87697215397,
%T 10888869450418352248465215398,265263748681641476988556945215397,
%U 263396100682375171644206569105215396,8946713719494261667162400970385215395
%N Partial sums of factorial primes A088054.
%C The primes in this sequence begin 2, 5, 17; where 5 is itself a factorial prime 3!-1. What is the next prime in the sequence?
%F a(n) = SUM[i=1..n] A088054(i) = SUM[i=1..n] {primes which are within 1 of a factorial number}.
%Y Cf. A000040, A000142, A002981, A002982.
%K nonn
%O 1,1
%A _Jonathan Vos Post_, Jan 25 2010