A116692 Primes with only one distinct decimal digit. Also called repunit primes or repdigit primes.

2, 3, 5, 7, 11, 1111111111111111111, 11111111111111111111111

Offset: 1

Author

Rick L. Shepherd, Feb 22 2006

Keywords

• base
• easy
• nonn

Comments

Primes in A010785 (repdigit numbers). Union of single-digit primes and A004022 (repunit primes). A004023 shows that the next term has 317 1's. The Mersenne primes (A000668) are the binary analog (i.e., bits are all 1's).

References

• Clifford A. Pickover, A Passion for Mathematics (2005) at 60, 297.

Crossrefs

A004022 is a subsequence.

Cf. A004023, A010785, A000668.

A subsequence of A055387, but not of A225053.

Extensions

Reference provided by Harvey P. Dale, Apr 19 2014

Definition expanded by N. J. A. Sloane, Jan 22 2023