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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. 0
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Found using computation. The solution is smallest by total sum.
LINKS
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
KEYWORD
nonn,fini,full
AUTHOR
Mark Stander, Nov 30 2018
STATUS
approved

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Last modified March 29 08:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)