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A205529 Noncomposite numbers n with k digits such that each sum of 1 - k digits of n is substring of n. 2

%I

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

%T 10000000000000000000009

%N Noncomposite numbers n with k digits such that each sum of 1 - k digits of n is substring of n.

%C Complement of A205530 with respect to A202272.

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

%e Number 109 is in sequence becasuse all possible sums of digits 0, 1, 1, 9, 9, 10 are his substrings.

%Y Cf. A205530, A202272, A052019.

%K nonn,base

%O 1,3

%A _Jaroslav Krizek_, Jan 28 2012

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Last modified December 7 12:17 EST 2021. Contains 349581 sequences. (Running on oeis4.)