A218075 a(n) = 2^(prime(n+1) - prime(n)).

2, 4, 4, 16, 4, 16, 4, 16, 64, 4, 64, 16, 4, 16, 64, 64, 4, 64, 16, 4, 64, 16, 64, 256, 16, 4, 16, 4, 16, 16384, 16, 64, 4, 1024, 4, 64, 64, 16, 64, 64, 4, 1024, 4, 16, 4, 4096, 4096, 16, 4, 16, 64, 4, 1024, 64, 64, 64, 4, 64, 16, 4, 1024, 16384, 16, 4, 16

Offset

1,1

Comments

Except for the first term, all terms are powers of 4.

Links

Table of n, a(n) for n=1..65.

Formula

a(n) = 2^A001223(n).

Mathematica

Table[2^(Prime[k + 1] - Prime[k]), {k, 100}] (* T. D. Noe, Nov 14 2012 *)
2^(#[[2]]-#[[1]])&/@Partition[Prime[Range[70]], 2, 1] (* Harvey P. Dale, Nov 30 2017 *)

Crossrefs

Cf. A001223, A000302.

Sequence in context: A368585 A145891 A077815 * A366709 A064449 A117291

Adjacent sequences: A218072 A218073 A218074 * A218076 A218077 A218078

Keyword

nonn,easy

Author

Giovanni Teofilatto, Oct 20 2012

Status

approved