Square of Reversal of Small-Digit Number
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Theorem
Let $n$ be an integer whose decimal representation consists of sufficiently small digits.
Then the reversal of the square of $n$ is the square of the reversal of $n$.
Proof
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Examples
Square of Reversal of $12$
- $12^2 = 144$
- $21^2 = 441$
Square of Reversal of $13$
- $13^2 = 169$
- $31^2 = 961$
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $12$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $12$