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Repunit

In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands for "repeated unit" and was coined in 1966 by Albert H. Beiler in his book Recreations in... Wikipedia
Conjectured no. of terms: Infinite
First terms: 11, 1111111111111111111, 11111111111111111111111
Largest known term: (108177207−1)/9