Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%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