A131591 Sum of the squares of the first 3^n primes.

4, 38, 1556, 86606, 4083404, 171658094, 6716224724, 247782290006, 8763080657420, 299863491723614, 9990667099305740, 325847250824377382, 10445562407382412028, 330039152364735149222, 10301457052184951857604, 318211810358946705058382

Offset: 0

Author

Cino Hilliard, Aug 30 2007

Keywords

• nonn

Examples

			The sum of the squares of the first 3^1 primes is 4 + 9 + 25 = 38, the second term of this sequence.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 0..21

Crossrefs

Cf. A001248, A024450, A131590.

Programs

Mathematica

nn=15;With[{prsq=Prime[Range[3^nn]]^2},Table[Total[Take[prsq,3^n]],{n,0,nn}]] (* Harvey P. Dale, Mar 08 2014 *)

PARI

sumprimesq(n,b) = { local(x,y,s,a); for(y=0,n, s=0; for(x=1,b^y, s+=prime(x)^2; ); print1(s","); ) }

PARI

lista(pmax) = {my(sm = 0, c = 0, pow = 1); forprime(p = 1, pmax, sm += p^2; c++; if(c == pow, print1(sm, ", "); pow *= 3));} \\ Amiram Eldar, Jul 06 2024

Formula

a(n) = A024450(3^n). - Amiram Eldar, Jul 06 2024

Extensions

More terms from Harvey P. Dale, Mar 08 2014