%I #6 Dec 12 2013 13:20:50
%S 41,1433,1753,2503,4789,5779,6691,7321,8861,9473,9719,11927,12329,
%T 13187,13597,14767,15361,15569,16231,16411,17383,17989,18211,19391,
%U 20743,21059,21379,23189,26881,27961,28499,29129,30539,33317,34351,36691
%N Prime mean of 8 horizontal, vertical and main diagonal sums associated with primes in A094454.
%H Harvey Heinz, <a href="http://www.magicsquares.net/antims.htm">pattern and program</a>
%F 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.
%e 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
%Y Cf. A094454.
%K easy,nonn
%O 1,1
%A _Enoch Haga_, May 05 2004
