

A094455


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


2



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
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OFFSET

1,1


LINKS



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



KEYWORD

easy,nonn


AUTHOR



STATUS

approved



