Largest Number not Expressible as Sum of Less than 37 Positive Fifth Powers/Mistake

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Source Work

1997: David Wells: Curious and Interesting Numbers (2nd ed.):

The Dictionary
$466$


Mistake

The largest number which cannot be represented with less than $32$ $5$th powers.


It needs to be specified that they ought to be positive $5$th powers, otherwise, for example:

$466 = 2 \times 3^5 + 20 \times \paren {-1}^5$

... a mere $22$ $5$th powers.


Sources