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

1, 2, 3, 6, 68

Offset: 1

Author

Zak Seidov, Dec 22 2006

Keywords

• nonn
• base
• more

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

Examples

			68^i (i=1..8)= 68, 4624, 314432, 21381376, 1453933568, 98867482624, 6722988818432, 457163239653376 all zeroless.
		

Crossrefs

Cf. A104264.

Programs

Mathematica

zLessQ[n_]:=AllTrue[n^Range[8],FreeQ[IntegerDigits[#],0]&]; Select[Range[70],zLessQ] (* Harvey P. Dale, Sep 27 2023 *)

PARI

isok(n) = {for (i = 1, 8, if (! vecmin(digits(n^i)), return (0));); return (1);} \\ Michel Marcus, Oct 11 2013