A361760 a(n) = Product_{i=prime(n)..prime(n+1)-1} i.

2, 12, 30, 5040, 132, 43680, 306, 175560, 271252800, 870, 1402410240, 2193360, 1722, 3916440, 14658134400, 29142257760, 3540, 65418312960, 22005480, 5112, 184933148400, 41977440, 390190489920, 5346472978828800, 94109400, 10302, 119224560, 11556, 149059680, 120140035685601494718355200000, 272613120

Offset: 1

Author

Karl-Heinz Hofmann, Mar 23 2023

Keywords

• nonn

Links

• Winston de Greef, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A061214, A072472, A361761.

Programs

PARI

a(n) = my(x=1); for(i=prime(n), prime(n+1)-1, x*=i); x; \\ Michel Marcus, Mar 28 2023

Python

from sympy import prod, sieve
def A361760(n): return prod(range(sieve[n], sieve[n+1]))

Formula

a(n) = A000040(n)*A061214(n).