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The problem I am trying to solve sounds simple, but I still haven't been able to find the solution:

Find a prime divisor of 1111111111111 (13 ones), also known as a repunit.

I know the answer(53, 79 and some big prime), but I have no idea how Mathematica calculated those values.

Can anyone help me out? :)

I am afraid I should've posted this question in the number theory forums, sorry for that.

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# Find a prime divisor of 1111 (13 1's)

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