Sum of two consecutive primes that is also sum of two consecutive even positive squares.

Terms

a(0) =52a(1) =100a(2) =340a(3) =1460a(4) =2452a(5) =2740a(6) =4420a(7) =20404a(8) =21220a(9) =36452a(10) =48052a(11) =62660a(12) =66980a(13) =94180a(14) =103060a(15) =108580a(16) =128020a(17) =140452a(18) =142580a(19) =169364a(20) =171700a(21) =195940a(22) =221780a(23) =254900a(24) =260644a(25) =361252a(26) =378452a(27) =490052a(28) =498004a(29) =717604