A228190 a(n) = sum_{i=1..n} prime(i) + product_{i=1..n} prime(i).

4, 11, 40, 227, 2338, 30071, 510568, 9699767, 223092970, 6469693359, 200560490290, 7420738135007, 304250263527448, 13082761331670311, 614889782588491738, 32589158477190045111, 1922760350154212639510, 117288381359406970983771, 7858321551080267055879658

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..200

Formula

a(n) = A002110(n+1) + A007504(n).

Example

The first term of this sequence is the sum of the first 1 primes plus the product of the first 1 primes. Thus, 2+2 = 4.
The second term of this sequence is the sum of the first 2 primes plus the product of the first 2 primes. Thus, (2+3)+(2*3) = 11.
Etc..

Mathematica

Table[Sum[Prime[i], {i, n}] + Product[Prime[i], {i, n}], {n, 30}] (* T. D. Noe, Aug 16 2013 *)
Module[{nn=20, pr}, pr=Prime[Range[nn]]; Accumulate[pr]+FoldList[Times, pr]] (* Harvey P. Dale, Apr 18 2022 *)

Crossrefs

Sequence in context: A214142 A077236 A327025 * A289283 A152532 A343548

Adjacent sequences: A228187 A228188 A228189 * A228191 A228192 A228193

Keyword

nonn,easy

Author

Derek Orr, Aug 15 2013

Status

approved