OFFSET
1,1
COMMENTS
Corresponding indices of the first primes are: 812, 1323, 1731, 2097, 2268, 3121, 3456, 3645, 4428, 5518, 6914, 7569, 7899, 7980, 8146, 8412, 8875 A102655 Numbers which are the arithmetic mean of four successive primes. A122040 Numbers which are equal to arithmetic mean of six successive primes. A122480 Least k>2 such that n is equal to arithmetic mean of k consecutive primes. A122808 Least number that is the arithmetic mean of n (but no fewer) consecutive primes.
LINKS
Zak Seidov, Table of n, a(n) for n = 1..1000
FORMULA
Conjecture: a(n) ~ 1000 n log n. - Charles R Greathouse IV, Oct 23 2012
EXAMPLE
(p(812)+p(813)+...+p(812+998)+p(812+999))/1000=10820, p(n)=n-th prime.
MATHEMATICA
Select[Table[Sum[Prime[k], {k, n, n + 999}]/1000, {n, 50000}], IntegerQ] - Elizabeth A. Blickley (Elizabeth.Blickley(AT)gmail.com), Oct 10 2006
Select[Mean/@Partition[Prime[Range[25000]], 1000, 1], IntegerQ] (* Harvey P. Dale, Jul 27 2022 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Sep 27 2006
EXTENSIONS
More terms from Elizabeth A. Blickley (Elizabeth.Blickley(AT)gmail.com), Oct 10 2006
STATUS
approved