A123096 Prime arithmetic mean of ten consecutive primes.

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

Links

Zak Seidov, Table of n, a(n) for n = 1..1000

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

Cf. A000040, A127337.

Sequence in context: A090267 A068688 A088283 * A108846 A052234 A103170

Adjacent sequences: A123093 A123094 A123095 * A123097 A123098 A123099

Keyword

nonn

Author

Zak Seidov, Sep 27 2006

Status

approved