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A239219
Numbers n such that n^3 is not divisible by any of its nonzero digits.
4
3, 7, 19, 29, 37, 43, 46, 59, 67, 77, 79, 86, 89, 127, 143, 149, 157, 163, 167, 169, 179, 187, 197, 199, 287, 299, 307, 313, 323, 337, 349, 353, 359, 367, 377, 379, 389, 397, 403, 419, 437, 443, 457, 460, 463, 587, 589, 593, 607, 613, 643, 647, 649, 653, 667
OFFSET
1,1
LINKS
EXAMPLE
37 is in the sequence because 37^3 = 50653 which is not divisible by 3, 5 or 6.
MATHEMATICA
n3ndQ[n_]:=Module[{nzd=DeleteCases[IntegerDigits[n^3], 0]}, NoneTrue[ n^3/nzd, IntegerQ]]; Select[Range[700], n3ndQ] (* Harvey P. Dale, Aug 20 2022 *)
PROG
(PARI) isOK(n) = my(v=vecsort(digits(n^3), , 8)); for(i=1+(v[1]==0), #v, if(n^3%v[i]==0, return(0))); 1
s=[]; for(n=1, 1000, if(isOK(n), s=concat(s, n))); s
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Colin Barker, Mar 12 2014
STATUS
approved