a(1)=1; at n>=2, a(n) = least square > a(n-1) such that sum a(1)+...+a(n) is a prime number.

Terms

a(0) =1a(1) =4a(2) =36a(3) =576a(4) =1296a(5) =1764a(6) =2304a(7) =4356a(8) =6084a(9) =15876a(10) =19044a(11) =20736a(12) =26244a(13) =44100a(14) =69696a(15) =76176a(16) =82944a(17) =86436a(18) =112896a(19) =152100a(20) =176400a(21) =213444a(22) =248004a(23) =254016a(24) =260100a(25) =285156a(26) =291600a(27) =324900a(28) =381924a(29) =396900