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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, 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
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
KEYWORD
nonn
AUTHOR
Labos Elemer, Dec 03 2004
STATUS
approved