Lonely (or isolated) primes: increasing distance to nearest prime.

Terms

a(0) =2a(1) =5a(2) =23a(3) =53a(4) =211a(5) =1847a(6) =2179a(7) =3967a(8) =16033a(9) =24281a(10) =38501a(11) =58831a(12) =203713a(13) =206699a(14) =413353a(15) =1272749a(16) =2198981a(17) =5102953a(18) =10938023a(19) =12623189a(20) =72546283a(21) =142414669a(22) =162821917a(23) =163710121a(24) =325737821a(25) =1131241763a(26) =1791752797a(27) =3173306951a(28) =4841337887a(29) =6021542119