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A052288 First differences of the average of two consecutive primes (A024675). 9
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; text; internal format)
OFFSET

1,1

LINKS

Michael De Vlieger, Table of n, a(n) for n = 1..10000

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.

MATHEMATICA

Differences@ ListConvolve[{1, 1}/2, Prime@ Range[2, 120]] (* Michael De Vlieger, Dec 17 2016, after Jean-Fran├žois Alcover at A024675 *)

CROSSREFS

Sequence in context: A277267 A246262 A275974 * A280455 A284725 A055767

Adjacent sequences:  A052285 A052286 A052287 * A052289 A052290 A052291

KEYWORD

nonn,easy

AUTHOR

Labos Elemer, Feb 08 2000

STATUS

approved

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Last modified October 15 17:24 EDT 2019. Contains 328037 sequences. (Running on oeis4.)