Smallest Fourth Power as Sum of 5 Distinct Fourth Powers/Mistake
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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
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $50,625$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $50,625$