A172114 Partial sums of factorial primes A088054.

2, 5, 10, 17, 40, 759, 5798, 39922599, 518924198, 87697215397, 10888869450418352248465215398, 265263748681641476988556945215397, 263396100682375171644206569105215396, 8946713719494261667162400970385215395

Offset: 1

Author

Jonathan Vos Post, Jan 25 2010

Keywords

• nonn

Comments

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?

Crossrefs

Cf. A000040, A000142, A002981, A002982.

Formula

a(n) = SUM[i=1..n] A088054(i) = SUM[i=1..n] {primes which are within 1 of a factorial number}.