# That's a lot of digits

$J = \overline {{ababababab....ab}}_n$

The number of $$ab$$ pairs in $$J$$ is even. $$a$$ and $$b$$ are $$< n$$

True or false:

$$\quad$$ $$J$$ is divisible by $$n^2+1$$.

Clarification: The subscript means number base $$n$$. The line above the number means that $$a, b$$ are digits of the number. $$a, b < n$$.

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