_Cino Hilliard (hillcino368(AT)gmail.com), _, Apr 07 2005

OEIS Server: https://oeis.org/edit/global/1955

easy,nonn,new

Cino Hilliard (hillcino368(AT)hotmailgmail.com), Apr 07 2005

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)

easy,nonn,new

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

33, 133, 253, 383, 537, 691, 829, 1003, 1169, 1333, 1495, 1703, 1855, 2015, 2217, 2417, 2589, 2781, 2977, 3143, 3313, 3537, 3725, 3899, 4157, 4349, 4511, 4713, 4871, 5113, 5317, 5563, 5747, 5987, 6183, 6377, 6607, 6827, 7025, 7187, 7391, 7673, 7927

1,1

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)

The first 3 X 3 prime square

2 3 5

7 11 13

17 19 23

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

(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", ") ) }

easy,nonn,new

Cino Hilliard (hillcino368(AT)hotmail.com), Apr 07 2005

approved