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

1,1

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.

Links

Table of n, a(n) for n=1..26.

Crossrefs

Cf. A020449, A004022, A116692.

Sequence in context: A084837 A062352 A033938 * A049575 A070028 A084836

Adjacent sequences: A069595 A069596 A069597 * A069599 A069600 A069601

Keyword

nonn,base

Author

Amarnath Murthy, Mar 25 2002

Extensions

Edited by Rick L. Shepherd, Sep 04 2009

Status

approved