Primes that are exactly between the nearest square and the nearest triangular number.

Terms

a(0) =2a(1) =5a(2) =23a(3) =47a(4) =193a(5) =389a(6) =1667a(7) =8807a(8) =9431a(9) =10177a(10) =10597a(11) =10847a(12) =11831a(13) =13411a(14) =17183a(15) =22433a(16) =29201a(17) =33893a(18) =36073a(19) =38321a(20) =40093a(21) =42461a(22) =48991a(23) =50131a(24) =54287a(25) =54851a(26) =57037a(27) =63347a(28) =65183a(29) =67121