A135484 a(n) = Sum_{i=1..n} i^prime(i), where prime(i) denotes i-th prime number.

1, 9, 252, 16636, 48844761, 13109538777, 232643623525984, 144347831699381856, 8863082467484200477785, 100000008863082467484200477785, 192043424966613562971631041769596

Offset: 1

Author

Ctibor O. Zizka, Feb 07 2008

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 1..75

Crossrefs

Cf. A000040, A087480.

Partial sums of A062481.

Programs

Mathematica

f[n_] := Sum[i^Prime@i, {i, n}]; Array[f, 12] (* Robert G. Wilson v, Feb 12 2008 *)
Accumulate[Table[n^Prime[n],{n,15}]] (* Harvey P. Dale, Nov 30 2023 *)

PARI

a(n) = sum(k=1, n, k^prime(k)); \\ Michel Marcus, Oct 15 2016

Extensions

Edited and extended by Robert G. Wilson v, Feb 12 2008