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A256865 Numbers divisible by prime(d+1) for each digit d of their base-5 representation. 14

%I #16 Jun 29 2019 03:54:05

%S 0,6,10,30,50,60,110,126,150,156,168,180,210,231,250,260,300,310,378,

%T 550,630,660,726,750,756,780,810,840,900,930,1008,1050,1250,1260,1300,

%U 1310,1320,1380,1410,1500,1510,1530,1550,1560,1680,1760,1870,1890,1960,2016,2268,2310,2331,2618,2750,2860,3124,3126,3150,3156,3180

%N Numbers divisible by prime(d+1) for each digit d of their base-5 representation.

%C The base-5 variant of A256882 - A256884, A256866 - A256870 in bases 2, ..., 10.

%C A variant of A256875 where digits 0 are forbidden and divisibility by prime(d) is required.

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

%e 6 = 11_5 and is divisible by prime(1+1)=3.

%e 10 = 20_5 and is divisible by prime(0+1)=2 and by prime(2+1)=5.

%e n = 1, 2, 3, 4 are not divisible by prime(n+1) = 3, 5, 7, 11. 5=10_5 is not divisible by prime(0+1)=2; 7=12_5 is not divisible by prime(2+1)=5, etc.

%o (PARI) is(n,b=5)=!for(i=1,#d=Set(digits(n,b)),n%prime(d[i]+1)&&return)

%Y Cf. A256882, A256883, A256884, A256866-A256870, A256874-A256879, A256786.

%K nonn,base

%O 1,2

%A _M. F. Hasler_, Apr 11 2015

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Last modified April 24 08:59 EDT 2024. Contains 371935 sequences. (Running on oeis4.)