A061789 a(n) = Sum_{k=1..n} prime(k)^prime(k).

4, 31, 3156, 826699, 285312497310, 303160419089563, 827240565046755853740, 1979246896225360344977719, 20880469979094808259715377888286, 2567686153182091604540923022990731504371755

Offset

1,1

Links

Harry J. Smith, Table of n, a(n) for n = 1..76

Formula

Partial sums of A051674. - R. J. Mathar, Apr 26 2007

Example

a(3) = 2^2 + 3^3 + 5^5 = 3156.

Mathematica

P3[n_] := Sum[Prime[i]^Prime[i], {i, 1, n}]; Table[P3[n], {n, 1, 10}] (* Vladimir Joseph Stephan Orlovsky, Apr 29 2008 *)
Accumulate[#^#&/@Prime[Range[10]]] (* Harvey P. Dale, Apr 10 2015 *)

Prog

(PARI) a=n=0; forprime (p=2, 383, write("b061789.txt", n++, " ", a+=p^p)) \\ Harry J. Smith, Jul 28 2009
(Python)
from itertools import accumulate, count, islice
from sympy import prime
def A061789_gen(): # generator of terms
    yield from accumulate(((p:=prime(k))**p for k in count(1)))
A061789_list = list(islice(A061789_gen(), 20)) # Chai Wah Wu, Jun 17 2022

Crossrefs

Cf. A051674.

Sequence in context: A005841 A005828 A084764 * A103909 A309906 A196247

Adjacent sequences: A061786 A061787 A061788 * A061790 A061791 A061792

Keyword

nonn,easy

Author

Amarnath Murthy, May 25 2001

Extensions

Corrected and extended by Jason Earls, May 26 2001

Status

approved