

A135485


a(n) = Sum_{i=1..n) prime(i)^(i1), where prime(i) denotes ith prime number.


2



1, 4, 29, 372, 15013, 386306, 24523875, 918395614, 79229380895, 14586375356764, 834214662337565, 178751836441797978, 22742242136807984059, 1741006366419098769302, 258407992554086508103671
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OFFSET

1,2


COMMENTS

The primes in this sequence are 29 = 2^0 + 3^1 + 5^2, 15013 = 2^0 + 3^1 + 5^2 + 7^3 + 11^4, 82630...60939 (a 107digit number) = 2^0 + 3^1 + 5^2 + ... + 211^46, ...


LINKS

G. C. Greubel, Table of n, a(n) for n = 1..250


MATHEMATICA

f[n_] := Sum[Prime[i]^(i  1), {i, n}]; Array[f, 16] (* Robert G. Wilson v, Feb 12 2008 *)


PROG

(PARI) a(n) = sum(k=1, n, prime(k)^(k1)); \\ Michel Marcus, Oct 15 2016


CROSSREFS

Cf. A000040, A087480, A135484.
Sequence in context: A231498 A168602 A000798 * A210526 A221079 A162287
Adjacent sequences: A135482 A135483 A135484 * A135486 A135487 A135488


KEYWORD

nonn


AUTHOR

Ctibor O. Zizka, Feb 07 2008, Feb 17 2008


EXTENSIONS

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


STATUS

approved



