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A256870 Numbers divisible by prime(d+1) for each digit d of their base-10 representation. 14

%I #11 Jun 29 2019 03:55:13

%S 0,20,44,111,120,171,200,210,220,290,440,520,1020,1110,1113,1200,1710,

%T 1914,2000,2010,2020,2030,2100,2145,2200,2220,2310,2420,2900,3220,

%U 3381,4004,4048,4400,4444,5200,5525,6120,7220,8280,9338

%N Numbers divisible by prime(d+1) for each digit d of their base-10 representation.

%C A variant of A256786 where digits 0 are forbidden and divisibility by prime(d) is required.

%C See A256882 - A256884, A256866 - A256869 for the analog in bases 2, ..., 9.

%e 0 is divisible by prime(0+1)=2.

%e n = 1,...,9 are not divisible by prime(n+1) = 3, 5, ..., 29, respectively.

%e 20 is divisible by prime(2+1)=5 and by prime(0+1)=2. The same is true for any other 2...20...0 = 2*10^k*(10^m-1)/9; k >= 1, m >= 0.

%e 44 is divisible by prime(4+1)=11.

%o is(n,b=10)=!for(i=1,#d=Set(digits(n,b)),n%prime(d[i]+1)&&return)

%Y Cf. A256882, A256883, A256884, A256865 - A256869, A256874 - A256879, A256786.

%K nonn,base

%O 1,2

%A _M. F. Hasler_, Apr 11 2015

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)