Numbers k such that the prime gap between the consecutive primes p1 < k^2 < p2 sets a new record.

Terms

a(0) =2a(1) =3a(2) =5a(3) =11a(4) =23a(5) =30a(6) =41a(7) =50a(8) =76a(9) =100a(10) =149a(11) =159a(12) =189a(13) =345a(14) =437a(15) =509a(16) =693a(17) =1110a(18) =1165a(19) =5018a(20) =14908a(21) =18906a(22) =19079a(23) =28634a(24) =38682a(25) =80444a(26) =105686a(27) =185179a(28) =265236a(29) =269697