A100375 a(n) is the n-th consecutive prime difference divided by the largest power of 2 which divides it.

1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 3, 3, 1, 3, 1, 1, 3, 1, 3, 1, 1, 1, 1, 1, 1, 7, 1, 3, 1, 5, 1, 3, 3, 1, 3, 3, 1, 5, 1, 1, 1, 3, 3, 1, 1, 1, 3, 1, 5, 3, 3, 3, 1, 3, 1, 1, 5, 7, 1, 1, 1, 7, 3, 5, 1, 1, 3, 1, 3, 3, 1, 3, 1, 1, 1, 5, 1, 5, 1, 3, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 3, 1, 9, 3, 5, 3, 3, 1, 3

Offset

1,9

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

a(n) = A001223(n) / A006519(A001223(n)).

Mathematica

t1=Table[Prime[n+1]-Prime[n], {n, 1, 256}]; t2=Table[GCD[Prime[n+1]-Prime[n], 65536], {n, 1, 256}]; t1/t2
#/2^IntegerExponent[#, 2]&/@Differences[Prime[Range[110]]] (* Harvey P. Dale, Feb 20 2022 *)

Crossrefs

Cf. A006519, A001223, A100374.

Sequence in context: A095346 A060839 A088204 * A353063 A274613 A066975

Adjacent sequences: A100372 A100373 A100374 * A100376 A100377 A100378

Keyword

nonn

Author

Labos Elemer, Dec 03 2004

Status

approved