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%I #56 Feb 10 2023 16:54:25
%S 0,1,2,3,4,5,6,7,9,10,11,17,18,30,33,58
%N Numbers k such that the decimal expansion of 5^k contains no zeros.
%C Probably 58 is last term.
%C Searched for k up to 10^10. - _David Radcliffe_, Dec 27 2015
%H M. F. Hasler, <a href="https://oeis.org/wiki/Zeroless_powers">Zeroless powers</a>, OEIS Wiki, Mar 07 2014.
%H W. Schneider, <a href="/A007496/a007496.html">NoZeros: Powers n^k without Digit Zero</a> [Cached copy]
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Zero.html">Zero</a>.
%e Here is 5^58, conjecturally the largest power of 5 that does not contain a 0:
%e 324518553658426726783156020576256. - _N. J. A. Sloane_, Feb 10 2023
%t Do[ If[ Union[ RealDigits[ 5^n ][[1]]] [[1]] != 0, Print[ n ]], {n, 0, 25000}]
%o (Magma) [ n: n in [0..500] | not 0 in Intseq(5^n) ]; // _Vincenzo Librandi_ Oct 19 2012
%o (PARI) for(n=0,99,vecmin(digits(5^n))&& print1(n",")) \\ _M. F. Hasler_, Mar 07 2014
%Y Cf. A000351 (5^n).
%Y For the zeroless numbers (powers x^n), see A238938, A238939, A238940, A195948, A238936, A195908, A195946, A195945, A195942, A195943, A103662.
%Y For the corresponding exponents, see A007377, A008839, A030700, A030701, A008839, A030702, A030703, A030704, A030705, A030706, A195944.
%Y For other related sequences, see A305925, A052382, A027870, A102483, A103663.
%K nonn,base
%O 1,3
%A _Olivier Gérard_
%E Definition corrected and initial term 0 added by _M. F. Hasler_, Sep 25 2011
%E Further edits by _M. F. Hasler_, Mar 08 2014
%E Keyword:fini removed by _Jianing Song_, Jan 28 2023 as finiteness is only conjectured.
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