Between p and the next prime either there are no numbers or there is a single squarefree number.

Terms

a(0) =2a(1) =5a(2) =29a(3) =41a(4) =101a(5) =137a(6) =281a(7) =461a(8) =569a(9) =617a(10) =641a(11) =821a(12) =857a(13) =1229a(14) =1289a(15) =1301a(16) =1481a(17) =1697a(18) =1721a(19) =1877a(20) =2081a(21) =2129a(22) =2237a(23) =2309a(24) =2381a(25) =2657a(26) =2729a(27) =2801a(28) =3389a(29) =3461