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A256886 Smallest multiple of prime(n) whose digits sum is divisible by prime(n). 0
2, 3, 5, 7, 209, 247, 476, 874, 1679, 4988, 8959, 37999, 177899, 99889, 686999, 2989889, 8888999, 9998998, 58999999, 289999997, 499988899, 999899998, 5989989899, 9989999999, 99999999898, 2918999999999, 699999899899, 1999989999989, 4889999999989, 8899999999898 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subsequence of A002998.

LINKS

Table of n, a(n) for n=1..30.

FORMULA

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

EXAMPLE

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

MATHEMATICA

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

PROG

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

CROSSREFS

Cf. A000040, A002998.

Sequence in context: A046475 A029978 A122764 * A195302 A064157 A257483

Adjacent sequences:  A256883 A256884 A256885 * A256887 A256888 A256889

KEYWORD

nonn,base

AUTHOR

Michel Lagneau, Apr 12 2015

STATUS

approved

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Last modified May 25 23:50 EDT 2020. Contains 334612 sequences. (Running on oeis4.)