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 A124649 Numbers n such that n^i (i=1..8) are all zeroless. 6
 1, 2, 3, 6, 68 (list; graph; refs; listen; history; text; internal format)
 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 LINKS Table of n, a(n) for n=1..5. 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 Adjacent sequences: A124646 A124647 A124648 * A124650 A124651 A124652 KEYWORD nonn,base,more AUTHOR Zak Seidov, Dec 22 2006 STATUS approved

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Last modified September 14 09:44 EDT 2024. Contains 375921 sequences. (Running on oeis4.)