Smallest Fourth Power as Sum of 5 Distinct Fourth Powers/Mistake

From ProofWiki
Jump to navigation Jump to search

Source Work

1986: David Wells: Curious and Interesting Numbers:

The Dictionary
$50,625$


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

The Dictionary
$50,625$


Mistake

Equal to $15^4 = 4^4 + 6^4 + 8^4 + 9^4 + 14^4$.
This is the smallest example of a $4$th power equal to the sum of only $5$ other $4$th powers.


Correction

Should read:

This is the smallest example of a $4$th power equal to the sum of only $5$ distinct other $4$th powers.


Also see


Sources