a(n) = smallest prime == 1 (mod 4) such that a(n) is a square mod a(i), all i<n.

Terms

a(0) =5a(1) =29a(2) =109a(3) =281a(4) =349a(5) =1601a(6) =1889a(7) =5581a(8) =12421a(9) =14389a(10) =16829a(11) =89501a(12) =294761a(13) =471781a(14) =1134389a(15) =2465081a(16) =2708941a(17) =4695809a(18) =9594709a(19) =33660421a(20) =38692009a(21) =75670769a(22) =138202481a(23) =150274469a(24) =517777769a(25) =3675456101a(26) =4720745641a(27) =27541365749a(28) =29340233569a(29) =69737217721