Skipping from prime to prime by least powers of 2.

Terms

a(0) =2a(1) =3a(2) =5a(3) =7a(4) =11a(5) =13a(6) =17a(7) =19a(8) =23a(9) =31a(10) =47a(11) =79a(12) =83a(13) =211a(14) =227a(15) =229a(16) =233a(17) =241a(18) =257a(19) =769a(20) =773