A094455 Prime mean of 8 horizontal, vertical and main diagonal sums associated with primes in A094454.

41, 1433, 1753, 2503, 4789, 5779, 6691, 7321, 8861, 9473, 9719, 11927, 12329, 13187, 13597, 14767, 15361, 15569, 16231, 16411, 17383, 17989, 18211, 19391, 20743, 21059, 21379, 23189, 26881, 27961, 28499, 29129, 30539, 33317, 34351, 36691

Offset

1,1

Links

Table of n, a(n) for n=1..36.

Harvey Heinz, pattern and program

Formula

Arrange 9 consecutive primes in a 3 X 3 grid wherein IBC, HAD, GFE are the first, second and third rows of horizontal primes. Then sum the rows horizontally, vertically and along the two main diagonals. Total the 8 sums, divide by 8 and if the mean is integral and prime, add to the sequence.

Example

a(1)=41 because 41 is the integral and prime mean of the 8 sums of 9 consecutive primes arranged in a 3 X 3 grid wherein the first prime is 3

Crossrefs

Cf. A094454.

Sequence in context: A275225 A275145 A118451 * A239251 A197527 A076462

Adjacent sequences: A094452 A094453 A094454 * A094456 A094457 A094458

Keyword

easy,nonn

Author

Enoch Haga, May 05 2004

Status

approved