A093433 a(n) = (p(1)*...*p(n)) + (p(n+1)*...*p(2n)) where p(n) is the n-th prime.

2, 5, 41, 1031, 46399, 2803043, 247140857, 25627356863, 3359824134707, 525738142728791, 86239154183764823, 16043263583368582931, 3203015861712721419161, 765364544804215147351277, 196164712685969109811322179, 51407675872783850510756055649

Offset

0,1

Links

Table of n, a(n) for n=0..15.

Formula

a(n) = A002110(n) + A107712(n).

Example

a(5) = 2803043 because 2*3*5*7*11 + 13*17*19*23*29 = 2803043.

Maple

a:= n-> add(mul(ithprime(i+j), i=1..n), j=[0, n]):
seq(a(n), n=0..20);  # Alois P. Heinz, Apr 13 2024

Crossrefs

Cf. A000040, A002110, A107712.

Sequence in context: A175172 A218057 A126469 * A054859 A076725 A059917

Adjacent sequences: A093430 A093431 A093432 * A093434 A093435 A093436

Keyword

easy,nonn

Author

Jason Earls, May 12 2004

Status

approved