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A124649
Numbers n such that n^i (i=1..8) are all zeroless.
6
1, 2, 3, 6, 68
OFFSET
1,2
COMMENTS
No other terms < 10^6. Is the sequence finite?
Subsequence of A124648. No other terms below 10^8. - Michel Marcus, Oct 11 2013
a(6) > 3.3*10^16, if it exists. - Giovanni Resta, Sep 07 2018
EXAMPLE
68^i (i=1..8)= 68, 4624, 314432, 21381376, 1453933568, 98867482624, 6722988818432, 457163239653376 all zeroless.
MATHEMATICA
zLessQ[n_]:=AllTrue[n^Range[8], FreeQ[IntegerDigits[#], 0]&]; Select[Range[70], zLessQ] (* Harvey P. Dale, Sep 27 2023 *)
PROG
(PARI) isok(n) = {for (i = 1, 8, if (! vecmin(digits(n^i)), return (0)); ); return (1); } \\ Michel Marcus, Oct 11 2013
CROSSREFS
Cf. A104264.
Sequence in context: A018415 A137073 A018434 * A018448 A018456 A018474
KEYWORD
nonn,base,more
AUTHOR
Zak Seidov, Dec 22 2006
STATUS
approved