Hardy-Ramanujan Number/Examples/87,539,319

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): $87,539,319$