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A105090 Sum of the left diagonal in ordered 3 X 3 prime squares. 0

%I #4 Oct 01 2013 17:58:10

%S 36,133,253,389,533,679,841,1007,1175,1327,1489,1703,1859,2021,2209,

%T 2405,2571,2769,2977,3139,3319,3545,3733,3905,4135,4361,4525,4721,

%U 4891,5099,5319,5549,5743,5987,6177,6361,6599,6813,7021,7193,7425,7675,7927

%N Sum of the left 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, .. Left diagonal is p(9n-8) p(9n-4) p(9n)

%e The first 3 X 3 prime square

%e 2 3 5

%e 7 11 13

%e 17 19 23

%e sum of left diagonal = 2 + 11 + 23 = 36 the first entry.

%o (PARI) sum3x3left(n) = { local(x,j,s); forstep(x=0,n,9, s=0; forstep(j=1,9,4, s += prime(x+j); ); print1(s",") ) }

%K easy,nonn

%O 1,1

%A _Cino Hilliard_, Apr 07 2005

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Last modified August 30 09:19 EDT 2024. Contains 375532 sequences. (Running on oeis4.)