A322184 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.

3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 1549, 1553, 1619, 1741, 1759, 2053, 2083, 2129, 2437

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..27.

Mark Stander, The Smallest Solution to AB = C, Where A, B, and C are Square Matrices Composed of Distinct Primes, The American Mathematical Monthly, 125 (2018), 754-754.

Example

Solution to AB = C:
A = {{3, 29, 19}, {7, 17, 11}, {5, 13, 23}};
B = {{67, 61, 59}, {37, 43, 47}, {41, 53, 31}};
C = {{2053, 2437, 2129}, {1549, 1741, 1553}, {1759, 2083, 1619}}.

Crossrefs

Sequence in context: A211075 A038134 A215697 * A245072 A338134 A138980

Adjacent sequences: A322181 A322182 A322183 * A322185 A322186 A322187

Keyword

nonn,fini,full

Author

Mark Stander, Nov 30 2018

Status

approved