%I #20 Aug 24 2017 13:44:56

%S 2,13,160,3123,181258,6732437,493478344,24995572327,2255433009730,

%T 470444892889497,38714638073629150,7749166585021832891,

%U 1203906832960860262108,121893712541593098356317,17161342484454585041813494

%N Sum of the n-th powers of the first n primes.

%H Vojtech Strnad, <a href="/A291140/b291140.txt">Table of n, a(n) for n = 1..200</a>

%F a(n) = prime(1)^n + prime(2)^n + ... + prime(n)^n.

%e a(3) = 2^3 + 3^3 + 5^3 = 160.

%p f:= n -> add(ithprime(i)^n,i=1..n):

%p map(f, [$1..20]); # _Robert Israel_, Aug 20 2017

%t Table[Total[Prime[Range@ n]^n], {n, 15}] (* _Michael De Vlieger_, Aug 19 2017 *)

%o (PARI) a(n) = sum(i=1, n, prime(i)^n) \\ _Felix Fröhlich_, Aug 18 2017

%Y Cf. A031971, A062457, A087480.

%K nonn

%O 1,1

%A _Vojtech Strnad_, Aug 18 2017