160,426,514
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Number
$160 \, 426 \, 514$ is:
- $2 \times 1361 \times 58 \, 937$
- The smallest positive integer which can be expressed as the sum of $3$ sixth powers in $2$ different ways:
| \(\ds \qquad \ \ \) | \(\ds 160 \, 426 \, 514\) | \(=\) | \(\ds 3^6 + 19^6 + 22^6\) | |||||||||||
| \(\ds \) | \(=\) | \(\ds 10^6 + 15^6 + 23^6\) |
- and also:
| \(\ds \qquad \ \ \) | \(\ds 854\) | \(=\) | \(\ds 3^2 + 19^2 + 22^2\) | |||||||||||
| \(\ds \) | \(=\) | \(\ds 10^2 + 15^2 + 23^2\) |
Also see
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $160,426,514$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $160,426,514$