A Problem for Geoff Pilling

True or false:

(n1)(n3)(n2)(n5)(n4)n\overline{(n-1)(n-3)(n-2)(n-5)(n-4)}_n is divisible by n+1n+1, were n5n \geq 5

Clarification: The subscript means number base nn. The line above the number means that (n1)(n-1)\ldots are digits of the number.


Inspiration.

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