A352002 a(n) = prime(n)# + prime(n), where prime(n)# is the n-th primorial number A002110(n).

4, 9, 35, 217, 2321, 30043, 510527, 9699709, 223092893, 6469693259, 200560490161, 7420738134847, 304250263527251, 13082761331670073, 614889782588491457, 32589158477190044783, 1922760350154212639129, 117288381359406970983331, 7858321551080267055879157, 557940830126698960967415461

Offset

1,1

Links

Table of n, a(n) for n=1..20.

Formula

a(n) = A002110(n) + A000040(n). Also a(n) = prime(n) * (prime(n-1)# + 1).

Example

a(3) = prime(3)# + prime(3) = 2 * 3 * 5 + 5 = 35.

Prog

(PARI) a(n) = prime(n) + prod(k=1, n, prime(k)); \\ Michel Marcus, Feb 28 2022
(Python)
from sympy import primorial, prime
def a(n): return primorial(n) + prime(n)
for n in range(1, 50):
    print(a(n), end=", ") # Javier Rivera Romeu, Mar 01 2022

Crossrefs

Cf. A000040, A002110.

Sequence in context: A176607 A134815 A367992 * A120073 A056894 A272145

Adjacent sequences: A351999 A352000 A352001 * A352003 A352004 A352005

Keyword

nonn

Author

Ryan Bresler, Feb 27 2022

Status

approved