A342844 Composite numbers not divisible by any of their nonzero digits.
27, 34, 38, 46, 49, 54, 56, 57, 58, 68, 69, 74, 76, 78, 86, 87, 94, 98, 203, 207, 209, 247, 249, 253, 259, 267, 289, 299, 308, 323, 329, 334, 338, 343, 346, 356, 358, 370, 374, 376, 377, 380, 386, 388, 394, 398, 403, 406, 407, 429, 430, 434, 437, 446, 447, 454
Offset: 1
Links
- Harvey P. Dale, Table of n, a(n) for n = 1..1000
Programs
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Maple
q:= n-> not isprime(n) and andmap(d-> irem(n, d)>0, {convert(n, base, 10)[]} minus {0}): select(q, [$1..500])[]; # Alois P. Heinz, Apr 01 2021
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Mathematica
Select[Range@500,!PrimeQ@#&&Mod[#,DeleteCases[IntegerDigits@#,0]]~FreeQ~0&] (* Giorgos Kalogeropoulos, Apr 01 2021 *) Select[Range[500],CompositeQ[#]&&NoneTrue[#/(IntegerDigits[#]/.(0-> Nothing)),IntegerQ]&] (* Harvey P. Dale, Dec 28 2021 *)
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PARI
isok(n)={if(isprime(n), 0, my(v=digits(n)); for(i=1, #v, if(v[i]<>0 && n%v[i]==0, return(0))); 1)} \\ Andrew Howroyd, Mar 25 2021
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Python
from sympy import isprime def ok(n): return not isprime(n) and all(n%int(d) for d in str(n) if d!='0') print(list(filter(ok, range(4, 455)))) # Michael S. Branicky, Apr 01 2021