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Search: id:A061789
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A061789 Sum_{k=1..n} p(k)^p(k), p(k) = k-th prime (A000040). +0
6
4, 31, 3156, 826699, 285312497310, 303160419089563, 827240565046755853740, 1979246896225360344977719, 20880469979094808259715377888286, 2567686153182091604540923022990731504371755 (list; graph; listen)
OFFSET

1,1

LINKS

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

FORMULA

Partial sums of A051674. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 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 Orlovsky (4vladimir(AT)gmail.com), Apr 29 2008

PROGRAM

(PARI) { a=n=0; forprime (p=2, 383, write("b061789.txt", n++, " ", a+=p^p); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 28 2009]

CROSSREFS

Sequence in context: A005841 A005828 A084764 this_sequence A103909 A068088 A118901

Adjacent sequences: A061786 A061787 A061788 this_sequence A061790 A061791 A061792

KEYWORD

nonn,easy

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 25 2001

EXTENSIONS

Corrected and extended by Jason Earls (zevi_35711(AT)yahoo.com), May 26 2001

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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