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A094459
Prime means of 12 horizontal, vertical and main diagonal sums associated with primes in A094458.
1
223, 641, 2531, 3271, 4153, 6691, 11497, 13109, 13499, 21379, 21467, 24379, 29243, 30169, 31379, 33349, 34127, 36653, 41047, 43049, 43759, 45971, 50909, 50951, 51241, 54181, 54437, 62303, 62981, 65557, 81677, 87277, 93131, 97583, 101977
OFFSET
1,1
FORMULA
Arrange 25 consecutive primes in a 5 X 5 grid wherein YJKLM, XIBCN, WHADO, VGFEP, UTSRQ are the first through 5th horizontal rows of primes. Then sum the rows horizontally, vertically and along the two main diagonals. Total the 12 sums, divide by 12 and if the mean is integral and prime, adjoin to the sequence.
EXAMPLE
a(1)=223 because 223 is the integral and prime mean of the 12 sums of 25 consecutive primes arranged in a 5 X 5 grid wherein the first prime is 3.
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Enoch Haga, May 06 2004
STATUS
approved