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A087480 Sum of all the primes raised to their corresponding powers. 3
2, 11, 136, 2537, 163588, 4990397, 415329070, 17398892111, 1818551553574, 422525784853775, 25831002681258606, 6608783008521293887, 931711885323534923208, 74817069229462038688657 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..299

FORMULA

a(n) = a(n-1) + prime(n)^n where prime(n) is the n-th prime.

EXAMPLE

a(4) = 2^1 + 3^2 + 5^3 + 7^4 = 2 + 9 + 125 + 2401 = 2537.

MAPLE

ListTools:-PartialSums( [seq(ithprime(i)^i, i=1..100)]); # Robert Israel, Nov 09 2015

MATHEMATICA

a[1] = 2; a[n_] := a[n - 1] + Prime[n]^n; Table[a[n], {n, 15}] (* Carlos Eduardo Olivieri, Nov 09 2015 *)

PROG

(PARI) a(n) = sum(i=1, n, prime(i)^i); \\ Michel Marcus, Sep 05 2013

CROSSREFS

Partial sums of A062457.

Sequence in context: A139387 A041725 A077544 * A060059 A177753 A183609

Adjacent sequences:  A087477 A087478 A087479 * A087481 A087482 A087483

KEYWORD

easy,nonn

AUTHOR

Andy Edwards (AndynGen(AT)aol.com), Sep 09 2003

EXTENSIONS

Corrected and extended by Ray Chandler, Sep 14 2003

STATUS

approved

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Last modified August 20 13:04 EDT 2017. Contains 290835 sequences.