cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A124649 Numbers n such that n^i (i=1..8) are all zeroless.

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%I A124649 #9 Sep 27 2023 14:11:35
%S A124649 1,2,3,6,68
%N A124649 Numbers n such that n^i (i=1..8) are all zeroless.
%C A124649 No other terms < 10^6. Is the sequence finite?
%C A124649 Subsequence of A124648. No other terms below 10^8. - _Michel Marcus_, Oct 11 2013
%C A124649 a(6) > 3.3*10^16, if it exists. - _Giovanni Resta_, Sep 07 2018
%e A124649 68^i (i=1..8)= 68, 4624, 314432, 21381376, 1453933568, 98867482624, 6722988818432, 457163239653376 all zeroless.
%t A124649 zLessQ[n_]:=AllTrue[n^Range[8],FreeQ[IntegerDigits[#],0]&]; Select[Range[70],zLessQ] (* _Harvey P. Dale_, Sep 27 2023 *)
%o A124649 (PARI) isok(n) = {for (i = 1, 8, if (! vecmin(digits(n^i)), return (0));); return (1);} \\ _Michel Marcus_, Oct 11 2013
%Y A124649 Cf. A104264.
%K A124649 nonn,base,more
%O A124649 1,2
%A A124649 _Zak Seidov_, Dec 22 2006