Successive prime sums of the squares forming A347333.

Terms

a(0) =17a(1) =71a(2) =223a(3) =563a(4) =1213a(5) =2027a(6) =2879a(7) =5393a(8) =7537a(9) =10973a(10) =16087a(11) =18587a(12) =26539a(13) =34319a(14) =46133a(15) =60937a(16) =70687a(17) =87103a(18) =110221a(19) =132911a(20) =165779a(21) =203051a(22) =215461a(23) =262897a(24) =318431a(25) =347209a(26) =411779a(27) =487603a(28) =539039a(29) =597209