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A105091 Sum of the right diagonal in ordered 3 X 3 prime squares. 0

%I

%S 33,133,253,383,537,691,829,1003,1169,1333,1495,1703,1855,2015,2217,

%T 2417,2589,2781,2977,3143,3313,3537,3725,3899,4157,4349,4511,4713,

%U 4871,5113,5317,5563,5747,5987,6183,6377,6607,6827,7025,7187,7391,7673,7927

%N Sum of the right diagonal in ordered 3 X 3 prime squares.

%F An ordered 3 X 3 prime square is 9 consecutive primes arranged in a square of the form p(9n-8) p(9n-7) p(9n-6) p(9n-5) p(9n-4) p(9n-3) p(9n-2) p(9n-1) p(9n) n=1, 2, .. Right diagonal is p(9n-6 p(9n-4) p(9n-2)

%e The first 3 X 3 prime square

%e 2 3 5

%e 7 11 13

%e 17 19 23

%e sum of right diagonal = 5 + 11 + 17 = 33 the first entry.

%o (PARI) sum3x3right(n) = { local(x,j,s); forstep(x=0,n,9, s=0; forstep(j=3,7,2, s += prime(x+j); ); print1(s",") ) }

%K easy,nonn

%O 1,1

%A _Cino Hilliard_, Apr 07 2005

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Last modified November 28 13:47 EST 2021. Contains 349413 sequences. (Running on oeis4.)