This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A256870 #13 Dec 13 2024 13:19:24 %S A256870 0,20,44,111,120,171,200,210,220,290,440,520,1020,1110,1113,1200,1710, %T A256870 1914,2000,2010,2020,2030,2100,2145,2200,2220,2310,2420,2900,3220, %U A256870 3381,4004,4048,4400,4444,5200,5525,6120,7220,8280,9338 %N A256870 Numbers divisible by prime(d+1) for each digit d of their base-10 representation. %C A256870 A variant of A256786 where digits 0 are forbidden and divisibility by prime(d) is required. %C A256870 See A256882 - A256884, A256866 - A256869 for the analog in bases 2, ..., 9. %e A256870 0 is divisible by prime(0+1)=2. %e A256870 n = 1,...,9 are not divisible by prime(n+1) = 3, 5, ..., 29, respectively. %e A256870 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 A256870 44 is divisible by prime(4+1)=11. %o A256870 (PARI) is(n,b=10)=!for(i=1,#d=Set(digits(n,b)),n%prime(d[i]+1)&&return) %Y A256870 Cf. A256882, A256883, A256884, A256865 - A256869, A256874 - A256879, A256786. %K A256870 nonn,base %O A256870 1,2 %A A256870 _M. F. Hasler_, Apr 11 2015