A094459 Prime means of 12 horizontal, vertical and main diagonal sums associated with primes in A094458.

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

Links

Table of n, a(n) for n=1..35.

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

Cf. A094458 A094455.

Sequence in context: A142773 A096660 A345198 * A108819 A158226 A253953

Adjacent sequences: A094456 A094457 A094458 * A094460 A094461 A094462

Keyword

easy,nonn

Author

Enoch Haga, May 06 2004

Status

approved