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Smallest multiple of prime(n) whose digits sum is divisible by prime(n).
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%I #10 Apr 19 2015 22:35:13

%S 2,3,5,7,209,247,476,874,1679,4988,8959,37999,177899,99889,686999,

%T 2989889,8888999,9998998,58999999,289999997,499988899,999899998,

%U 5989989899,9989999999,99999999898,2918999999999,699999899899,1999989999989,4889999999989,8899999999898

%N Smallest multiple of prime(n) whose digits sum is divisible by prime(n).

%C Subsequence of A002998.

%F a(n) = A002998(A000040(n)).

%e a(5)=209 is in the sequence because prime(5)=11 divides 2+0+9 and 209.

%t Flatten[Table[Select[Prime[n] Range[10^8],Total[IntegerDigits[#]]==Prime[n]&,1],{n,1,21}]]

%o (PARI) lista(nn) = {forprime(p=2, nn, k = 1; while(((q = k*p) && (sumdigits(q) % p)), k++); print1(q, ", "););} \\ _Michel Marcus_, Apr 14 2015

%Y Cf. A000040, A002998.

%K nonn,base

%O 1,1

%A _Michel Lagneau_, Apr 12 2015