For the repunits Rn, verify the assertions below:
(a) If n | m, then Rn | Rm.
[Hint: If m= kn, consider the identity
(b) If d |Rn and d| Rm,then d|Rn+m.
[Hint: Show that Rm+n= Rn 10m + Rm.]
(c) If gcd(n, m)= 1, then gcd(Rn, Rm)= 1.
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