A076955 a(n) = Product_{i=1..n} i^prime(i).

1, 8, 1944, 31850496, 1555200000000000, 20311991333683200000000000, 4725188984058417024032990822400000000000, 680971499131541103151460312870118086801149132800000000000

Offset

1,2

Links

Table of n, a(n) for n=1..8.

Formula

a(1) = 1, a(n+1) = a(n)*(n+1)^prime(n+1).

Maple

seq(product(i^ithprime(i), i=1..n), n=1..13);

Prog

(Python)
from math import prod
from sympy import prime
def A076955(n): return prod(k**prime(k) for k in range(1, n+1)) # Chai Wah Wu, Mar 24 2026

Crossrefs

n-th partial product of A062481.

Cf. A076954.

Sequence in context: A302669 A302471 A303253 * A362292 A024112 A092414

Adjacent sequences: A076952 A076953 A076954 * A076956 A076957 A076958

Keyword

nonn,easy

Author

Amarnath Murthy, Oct 20 2002

Extensions

More terms from Sascha Kurz, Jan 22 2003

Status

approved