|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
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
|
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|