| Thu, Oct 28, 2021
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Number Theory Seminar
1:45 PM
Virtual (Zoom) | | On Integers Whose Sum is the Reverse of their Product
Xander Faber, IDA/CCS
Host: John Doyle
Please contact John Doyle (john.r.doyle@okstate.edu) for the Zoom link.
| | | Abstract: We determine all pairs of positive integers $(a,b)$ such that $a+b$ and $a \times b$ have the same decimal digits in reverse order:
\[
(2,2), (9,9), (3,24), (2,47), (2,497), (2,4997), (2,49997), \ldots
\]
We use deterministic finite automata to describe our approach, which naturally extends to all other numerical bases. This is joint work with Jon Grantham. |
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