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                                                        111111111 1111111111


      1 1 1
     1 1 1 1
    1 1 1 1 1
     1 1 1 1
      1 1 1

A repunit hex-congruent prime in bases 11 and 12. [Dobb]

The largest prime factor of the alternate-digit, palindromic semiprime 1010101010101010101010101010101010101 is the repunit prime 1111111111111111111. Both numbers contain 19 1's. [Green]

The second repunit prime. [Gronos]

1111111111111111111^2 = 1111111111111111111 (mod 11111111111111111111111111111111111111). [Luhn]