A069598 Primes using only one nonzero digit (with zero digits allowed).

2, 3, 5, 7, 11, 101, 10111, 101111, 1011001, 1100101, 10010101, 10011101, 10100011, 10101101, 10110011, 10111001, 11000111, 11100101, 11110111, 11111101, 100100111, 100111001, 101001001, 101001011, 101100011, 101101111

Offset: 1

Author

Amarnath Murthy, Mar 25 2002

Keywords

• nonn
• base

Comments

From the fifth term onwards only zeros and ones are used.

Any number composed only of a string of zeros and d's where d is a digit > 1 is divisible by d and not prime, so this sequence is the single-digit primes {2,3,5,7} UNION A020449.

The repunit primes (A004022) and A116692 are subsequences.

Crossrefs

Cf. A020449, A004022, A116692.

Extensions

Edited by Rick L. Shepherd, Sep 04 2009