EPORN/Examples
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Examples of EPORNs
Example: $2520$
The smallest EPORN is $2520$:
| \(\ds 2520\) | \(=\) | \(\ds 210 \times 012\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 120 \times 021\) |
Example: $63 \, 504$
The number $63 \, 504$ is the smallest EPORN which is not a multiple of $10$:
| \(\ds 63 \, 504\) | \(=\) | \(\ds 441 \times 144\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 252 \times 252\) |
Example: $144 \, 648$
The EPORN $144 \, 648$ does not include a palindrome:
| \(\ds 144 \, 648\) | \(=\) | \(\ds 861 \times 168\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 492 \times 294\) |
Example: $7 \, 683 \, 984$
The EPORN $7 \, 683 \, 984$ includes a palindrome and is therefore square:
| \(\ds 7 \, 683 \, 984\) | \(=\) | \(\ds 2772 \times 2772\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 1584 \times 4851\) |
Also see
- Results about EPORNs can be found here.
Sources
- February 1987: S.S. Gupta: EPORNS (Science Today )
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $63,504$