A330769 a(n) = Product_{k=n..2*n} prime(k).

1, 6, 105, 5005, 323323, 30808063, 3212440751, 435656388001, 63836474265323, 12091972151626183, 2500935283708076197, 497341164867050876831, 118511586608803381520987, 31379946324498560236786747, 8435082644934112984625042407, 2416160765991941154223875519233, 855269503485274999634523766244243

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Alexander Dirmeier, On Metrics Inducing the Fürstenberg Topology on the Integers, arXiv:1912.11663 [math.GN], 2019. See p. 12.

Formula

a(n) = A002110(2*n)/A002110(n-1) for n>1.

Prog

(PARI) a(n) = prod(k=n, 2*n, prime(k));

Crossrefs

Cf. A000040 (primes), A002110 (primorials).

Sequence in context: A126467 A013294 A013300 * A109819 A162130 A048707

Adjacent sequences: A330766 A330767 A330768 * A330770 A330771 A330772

Keyword

nonn

Author

Michel Marcus, Dec 30 2019

Status

approved