login
A123096
Prime arithmetic mean of ten consecutive primes.
3
727, 761, 1663, 1783, 1811, 1913, 2693, 2969, 3229, 3433, 4073, 4091, 4421, 4547, 4673, 4903, 5099, 5801, 5927, 6359, 7537, 7727, 7927, 8093, 8111, 8293, 9041, 9829, 11177, 11239, 11447, 12671, 14771, 14779, 14929, 15131, 16421, 16477, 16619
OFFSET
1,1
COMMENTS
Corresponding indices of first primes are: 125, 130, 257, 272, 275, 288, 387, 423, 452, 477, 557, 559, 597, 612, 627, 651, 677, 757, 774, 824, 951, 976, 997, 1013, 1015, 1036, 1119, 1208, 1349, 1355, 1376, 1509, 1726, 1727, 1744, 1763, 1899, 1905, 1918, 1979
FORMULA
A000040 INTERSECT A218114. - R. J. Mathar, Apr 24 2023
EXAMPLE
(prime(125)+...+prime(134))/10 = 727, where prime(n) is the n-th prime.
MATHEMATICA
Select[Mean/@Partition[Prime[Range[2000]], 10, 1], PrimeQ] (* Harvey P. Dale, Jul 19 2011 *)
CROSSREFS
Sequence in context: A090267 A068688 A088283 * A108846 A052234 A103170
KEYWORD
nonn
AUTHOR
Zak Seidov, Sep 27 2006
STATUS
approved