Difference between Two Squares equal to Repunit/Examples/R 1
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Example of Difference between Two Squares equal to Repunit
| \(\ds 1\) | \(=\) | \(\ds 1 \times 1\) | ||||||||||||
| \(\ds \leadsto \ \ \) | \(\ds \frac {1 + 1} 2\) | \(=\) | \(\ds 1\) | |||||||||||
| \(\ds \frac {1 - 1} 2\) | \(=\) | \(\ds 0\) | ||||||||||||
| \(\ds \leadsto \ \ \) | \(\ds 1^2 - 0^2\) | \(=\) | \(\ds 1\) |
$\blacksquare$
Sources
- Dec. 1986: C.B. Lacampagne and J.L. Selfridge: Pairs of Squares with Consecutive Digits (Math. Mag. Vol. 59, no. 5: pp. 270 – 275) www.jstor.org/stable/2689401