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%I #13 Apr 14 2021 05:30:35
%S 4,13,87,1027,13275,155995,1789395,19523155,204330315,2081006083,
%T 20605602003,199966727443,1908356153955,17942429101363,
%U 166591116531123,1529578004981731,13917470067182067,125565110929591171,1124685106917162579,10009134886727192611
%N Sum of the squares of the first 2^n primes.
%H Michael S. Branicky, <a href="/A131590/b131590.txt">Table of n, a(n) for n = 0..30</a>
%e The sum of the squares of the first 2^2 primes = 4+9+25+49 = 87, the third entry in the sequence.
%o (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","); ) }
%o (Python)
%o from sympy import sieve, prime
%o def a(n): return sum(p*p for p in sieve.primerange(1, prime(2**n)+1))
%o print([a(n) for n in range(20)]) # _Michael S. Branicky_, Apr 13 2021
%Y Cf. A099825.
%K nonn
%O 0,1
%A _Cino Hilliard_, Aug 30 2007
%E a(18) and beyond from _Michael S. Branicky_, Apr 13 2021
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