A202272 -id:A202272 - cp's OEIS frontend

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

Jaroslav Krizek, Jan 28 2012

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).

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

Cf. A205530, A202272, A052019.

A205530 Composite numbers n with k digits such that each sum of 1 to k digits of n is substring of n.

Original entry on oeis.org

4, 6, 8, 9, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 200, 300, 400, 500, 600, 700, 800, 910, 1000, 1090, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000, 9010, 9100, 10000, 10090, 10900, 20000, 30000, 40000, 50000, 60000, 70000, 80000, 90000, 90010, 90100, 91000

Offset: 1

Jaroslav Krizek, Jan 28 2012

Complement of A205529 with respect to A202272.

			910 is in sequence because all possible sums of digits 0, 1, 1, 9, 9, 10, 10 are substrings of 910.

Cf. A205529, A202272.

cp's OEIS Frontend

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

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