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Noncomposite k-digit numbers m such that each sum of 1 - k digits of m is a substring of m.
2

%I #13 Feb 01 2022 00:44:36

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

%T 10000000000000000000009

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

%C Complement of A205530 with respect to A202272.

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

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

%Y Cf. A205530, A202272, A052019.

%K nonn,base,more

%O 1,3

%A _Jaroslav Krizek_, Jan 28 2012