Are there any Palindromic Fourth Powers with Non-Palindromic Roots?
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Open Question
It is not known whether there exist any palindromic fourth powers of a non-palindromic integer.
Progress
All known palindromic fourth powers are of palindromic integers, for example:
- $11^4 = 14 \, 641$
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $10,662,526,601$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $10,662,526,601$