A205529 Noncomposite k-digit numbers m such that each sum of 1 - k digits of m is a substring of m.

0, 1, 2, 3, 5, 7, 109, 1009, 10009, 1000000009, 1000000000000000009, 10000000000000000000009

Offset: 1

Author

Jaroslav Krizek, Jan 28 2012

Keywords

• nonn
• base
• more

Comments

Complement of A205530 with respect to A202272.

a(n) for n>=3 is a subsequence of A052019 (sum of digits of prime p is substring of p).

Examples

			109 is a term because all possible sums of digits 0, 1, 1, 9, 9, 10 are its substrings.
		

Crossrefs

Cf. A205530, A202272, A052019.