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A052288 First differences of the average of two consecutive primes (A024675). 7
2, 3, 3, 3, 3, 3, 5, 4, 4, 5, 3, 3, 5, 6, 4, 4, 5, 3, 4, 5, 5, 7, 6, 3, 3, 3, 3, 9, 9, 5, 4, 6, 6, 4, 6, 5, 5, 6, 4, 6, 6, 3, 3, 7, 12, 8, 3, 3, 5, 4, 6, 8, 6, 6, 4, 4, 5, 3, 6, 12, 9, 3, 3, 9, 10, 8, 6, 3, 5, 7, 7, 6, 5, 5, 7, 6, 6, 9, 6, 6, 6, 4, 5, 5, 7, 6, 3, 3, 8, 10, 6, 6, 6, 5, 9, 7, 10, 12, 8, 8, 6 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

FORMULA

a(n)=(prime(n+3)-prime(n+1))/2.

a(n) = A115061(n+2) = A162345(n+2). - Nathaniel Johnston, Jun 25 2011

EXAMPLE

a(30)=((113+127)/2)-((127+131)/2)=(131-113)/2=9, a(31)=((127+131)/2)-((137+131)/2)=(137-127)/2=5.

CROSSREFS

Sequence in context: A194225 A025782 A120506 * A055767 A029110 A103959

Adjacent sequences:  A052285 A052286 A052287 * A052289 A052290 A052291

KEYWORD

nonn,easy

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Feb 08 2000

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Last modified February 15 16:56 EST 2012. Contains 205825 sequences.