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 A038772 Numbers not divisible by any of their digits. 31
 23, 27, 29, 34, 37, 38, 43, 46, 47, 49, 53, 54, 56, 57, 58, 59, 67, 68, 69, 73, 74, 76, 78, 79, 83, 86, 87, 89, 94, 97, 98, 203, 207, 209, 223, 227, 229, 233, 239, 247, 249, 253, 257, 259, 263, 267, 269, 277, 283, 289, 293, 299, 307, 308, 323, 329, 334, 337, 338 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A038769(a(n)) = 0; complement of A038770. This is a regular language when written in decimal, though the minimal regular expression is probably thousands of characters long. - Charles R Greathouse IV, Aug 19 2011 Exponential density 0.954... = A104139. Asymptotically 8/35 * n^0.954... + O(n^0.903...) members up to n. - Charles R Greathouse IV, Jul 22 2012 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 EXAMPLE 34 is divisible by neither 3 nor 4. 35 is excluded because 5 is a divisor of 35, but 37 is included because neither 3 nor 7 is a divisor of 37 MATHEMATICA nddQ[n_]:=Module[{idn=DeleteCases[IntegerDigits[n], 0]}, And@@Table[ !Divisible[n, idn[[i]]], {i, Length[idn]}]]; Select[Range, nddQ] (* Harvey P. Dale, Nov 01 2011 *) PROG (Haskell) import Data.Char (digitToInt) a038772 n = a038772_list !! (n-1) a038772_list = filter p [1..] where    p n = all (> 0) \$ map ((mod n) . digitToInt) \$ filter (> '0') \$ show n -- Reinhard Zumkeller, Jun 19 2011 (PARI) is(n)=my(v=vecsort(eval(Vec(Str(n))), , 8)); for(i=if(v, 1, 2), #v, if(n%v[i]==0, return(0))); 1 \\ Charles R Greathouse IV, Jul 22 2011 (Magma) [k:k in [1..340]| forall{c:c in Set(Intseq(k)) diff {0}|k mod c ne 0}]; // Marius A. Burtea, Dec 22 2019 (Python) def ok(n): return not any(n%int(d) == 0 for d in str(n) if d != '0') print(list(filter(ok, range(1, 339)))) # Michael S. Branicky, May 20 2021 CROSSREFS Cf. A327561 (counts), A038770 (complement). Cf. also A034709, A034837, A038769. Sequence in context: A316724 A160774 A163142 * A188454 A178960 A282713 Adjacent sequences:  A038769 A038770 A038771 * A038773 A038774 A038775 KEYWORD base,easy,nonn,nice AUTHOR Henry Bottomley, May 04 2000 EXTENSIONS Edited by N. J. A. Sloane, Nov 17 2008 at the suggestion of R. J. Mathar STATUS approved

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Last modified August 8 21:04 EDT 2022. Contains 356016 sequences. (Running on oeis4.)