

A122040


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


3



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

Cf. A122531.
Sequence in context: A335859 A259040 A158190 * A342758 A274550 A253235
Adjacent sequences: A122037 A122038 A122039 * A122041 A122042 A122043


KEYWORD

easy,nonn


AUTHOR

Giovanni Teofilatto, Sep 14 2006


EXTENSIONS

Extended by Ray Chandler, Sep 25 2006


STATUS

approved



