A172114 Partial sums of factorial primes A088054.

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

Offset

1,1

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?

Links

Table of n, a(n) for n=1..14.

Formula

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

Crossrefs

Cf. A000040, A000142, A002981, A002982.

Sequence in context: A173057 A173112 A213299 * A146010 A077631 A350878

Adjacent sequences: A172111 A172112 A172113 * A172115 A172116 A172117

Keyword

nonn

Author

Jonathan Vos Post, Jan 25 2010

Status

approved