42,549,416

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Number

$42 \, 549 \, 416$ is:

$2^3 \times 7 \times 13 \times 211 \times 277$

The smallest positive integer which can be expressed as the sum of $2$ cubes in $4$ different ways:

\(\ds \qquad \ \ \)

\(\ds 42 \, 549 \, 416\)

\(=\)

\(\ds 348^3 + 74^3\)

\(\ds \)

\(=\)

\(\ds 282^3 + 272^3\)

\(\ds \)

\(=\)

\(\ds \paren {-2662}^3 + 2664^3\)

\(\ds \)

\(=\)

\(\ds \paren {-475}^3 + 531^3\)

Also see

• Smallest Integer which is Sum of 2 Cubes in 4 Ways

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $42,549,416$