A322184 - OEIS

%I #17 May 03 2021 15:04:15

%S 3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,1549,1553,1619,

%T 1741,1759,2053,2083,2129,2437

%N List of primes that appear in the 3 X 3 matrices A, B, C which are the smallest solution to the matrix equation AB = C in square matrices composed of distinct primes.

%C Found using computation. The solution is smallest by total sum.

%H Mark Stander, <a href="https://doi.org/10.1080/00029890.2018.1498686">The Smallest Solution to AB = C, Where A, B, and C are Square Matrices Composed of Distinct Primes</a>, The American Mathematical Monthly, 125 (2018), 754-754.

%e Solution to AB = C:

%e A = {{3, 29, 19}, {7, 17, 11}, {5, 13, 23}};

%e B = {{67, 61, 59}, {37, 43, 47}, {41, 53, 31}};

%e C = {{2053, 2437, 2129}, {1549, 1741, 1553}, {1759, 2083, 1619}}.

%K nonn,fini,full

%O 1,1

%A _Mark Stander_, Nov 30 2018