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# Pandigital numbers

A base ${\displaystyle b}$ pandigital number ${\displaystyle n}$ is an integer that has at least one instance of each base ${\displaystyle b}$ digit (from 0 to ${\displaystyle b-1}$) in its representation in that base. For example, 47 is pandigital in base 4: 1202. When ${\displaystyle b}$ is left unspecified, it is generally assumed to be 10.
The smallest pandigital number in base 4 and above starts with the digits 102 followed by the rest of the base ${\displaystyle b}$ digits in order.