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A178157 Numbers n that are divisible by every prefix of n. 3

%I #9 Aug 20 2015 17:45:59

%S 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,24,26,28,30,33,

%T 36,39,40,44,48,50,55,60,66,70,77,80,88,90,99,100,110,120,130,140,150,

%U 160,170,180,190,200,210,220,230,240,250,260,270,280,290,300,330,360,390,400,420,440,460,480,500,510,520,530,540,550,560

%N Numbers n that are divisible by every prefix of n.

%H Alois P. Heinz, <a href="/A178157/b178157.txt">Table of n, a(n) for n = 1..1000</a>

%e 3570 is in the sequence because :

%e 3 | 3570 ;

%e 35 | 3570 ;

%e 357 | 3570 ;

%e 3570 | 3570.

%p with(numtheory):T:=array(1..9):for n from 1 to 10000 do:ind:=0:l:=length(n):n0:=n:s:=0:for

%p m from 1 to l do:q:=n0:u:=irem(q,10):v:=iquo(q,10):n0:=v :T[m]:=u:od:for i from

%p 1 to l do: s1:=0:for j from 0 to i-1 do: s1:=s1 + T[l-i+j+1]*10^j :od:if irem(n,s1)=0

%p then ind:=ind+1:else fi:od:if ind=l then printf(`%d, `,n):else fi:od:

%Y Cf. A034837.

%K nonn,base

%O 1,2

%A _Michel Lagneau_, Dec 17 2010

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Last modified April 24 15:57 EDT 2024. Contains 371961 sequences. (Running on oeis4.)