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A122040

Numbers which are equal to the arithmetic mean of six successive primes.

12, 15, 22, 26, 30, 34, 38, 42, 55, 64, 77, 82, 87, 92, 101, 105, 110, 115, 126, 139, 144, 160, 165, 170, 190, 227, 232, 274, 279, 292, 298, 304, 312, 326, 339, 346, 352, 358, 369, 375, 387, 393, 406, 413, 419, 431, 436, 442, 447, 452, 469, 481, 516, 524, 533

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..55.

EXAMPLE

a(1) = 12 because (5+7+11+13+17+19)/6 = 12;

a(2) = 15 because (7+11+13+17+19+23)/6 = 15.

MATHEMATICA

Select[Table[Sum[Prime[k], {k, n, n + 5}]/6, {n, 100}], IntegerQ] (* Ray Chandler, Sep 25 2006 *)

Select[Mean/@Partition[Prime[Range[200]], 6, 1], IntegerQ] (* Harvey P. Dale, Apr 01 2011 *)

CROSSREFS