Hardy-Ramanujan Number/Examples/87,539,319
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Theorem
The $3$rd Hardy-Ramanujan number $\map {\mathrm {Ta} } 3$ is $87 \, 539 \, 319$:
| \(\ds 87 \, 539 \, 319\) | \(=\) | \(\ds 167^3 + 436^3\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 228^3 + 423^3\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 255^3 + 414^3\) |
Proof
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Sources
- 1957: J. Leech: Some Solutions of Diophantine Equations (Proc. Camb. Phil. Soc. Vol. 53: pp. 778 – 780)
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $87,539,319$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $87,539,319$