Power of 2 is Difference between Two Powers/Examples/4
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Example of Power of 2 is Difference between Two Powers
- $2^2 = 5^3 - 11^2$
Proof
| \(\ds 5^3 - 11^2\) | \(=\) | \(\ds 125 - 121\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 4\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 2^2\) |
$\blacksquare$
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $32$