Primes p such that (p+nextprime(p))/2 is a perfect square.

Terms

a(0) =3a(1) =7a(2) =61a(3) =79a(4) =139a(5) =223a(6) =317a(7) =439a(8) =619a(9) =1087a(10) =1669a(11) =2593a(12) =3593a(13) =4093a(14) =5179a(15) =6079a(16) =8461a(17) =12541a(18) =13687a(19) =16633a(20) =19037a(21) =19597a(22) =25261a(23) =27211a(24) =28219a(25) =29581a(26) =36857a(27) =38011a(28) =39199a(29) =45361