Smallest of three consecutive primes whose average is a square.

Terms

a(0) =2393a(1) =25913a(2) =47951a(3) =123191a(4) =131759a(5) =219953a(6) =330611a(7) =356387a(8) =450227a(9) =769117a(10) =826271a(11) =870479a(12) =1026143a(13) =1500613a(14) =1515347a(15) =1697797a(16) =1846861a(17) =1907141a(18) =2013541a(19) =2217107a(20) =2486873a(21) =2732383a(22) =3229189a(23) =3294191a(24) =3956101a(25) =4338871a(26) =4481677a(27) =4739297a(28) =5022067a(29) =5239511