Numbers k with property that the sum of 120 successive primes starting with prime(k) is a square.

Terms

a(0) =10917a(1) =11527a(2) =50923a(3) =73894a(4) =111468a(5) =118436a(6) =128662a(7) =139123a(8) =195234a(9) =249281a(10) =332863a(11) =435489a(12) =438080a(13) =482557a(14) =538373a(15) =542299a(16) =650254a(17) =679958a(18) =722145a(19) =803501a(20) =810871a(21) =820409a(22) =962582a(23) =970711a(24) =1003544a(25) =1027732a(26) =1030010a(27) =1190134a(28) =1204929a(29) =1305603