What is the largest number $ x $ such that $ x_{16}, $ i.e. $ x $ in base 16, is a 5-digit long palindrome, where each digit appears at most twice? A palindrome is a number that reads the same forward as it does backward, such as 737 or 24542.
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$\begingroup$ Welcome to Puzzling! Is this a puzzle you created yourself? If not, please edit in a source (such as a link). We have an attribution policy, and unsourced puzzles will be closed and perhaps deleted. $\endgroup$– bobbleCommented Mar 22, 2021 at 23:52
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$\begingroup$ @bobble It's Purely original, for a class I'm teaching! $\endgroup$– OutsiderCommented Mar 22, 2021 at 23:55
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$\begingroup$ Isn't the answer completely trivial? Or am I missing something? $\endgroup$– loopy waltCommented Mar 23, 2021 at 0:06
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$\begingroup$ @loopywalt it is... lol $\endgroup$– OutsiderCommented Mar 23, 2021 at 0:06
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1 Answer
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This seems pretty simple, but is the answer
1043951?
This number in base 16 is
FEDEF, which is the largest five-digit palindrome in base 16 where each digit appears at most twice.
