Number of subsets of the first n primes whose elements have a prime root-mean-square.

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =5a(5) =6a(6) =11a(7) =16a(8) =19a(9) =30a(10) =41a(11) =54a(12) =69a(13) =106a(14) =177a(15) =272a(16) =397a(17) =686a(18) =1299a(19) =2416a(20) =4225a(21) =7196a(22) =11701a(23) =20352a(24) =36305a(25) =70134a(26) =132721a(27) =248722a(28) =473391a(29) =894318