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A218075
a(n) = 2^(prime(n+1) - prime(n)).
1
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.
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
Sequence in context: A368585 A145891 A077815 * A366709 A064449 A117291
KEYWORD
nonn,easy
AUTHOR
Giovanni Teofilatto, Oct 20 2012
STATUS
approved