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A030700
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Decimal expansion of 3^n contains no zeros (probably finite).
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36
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 19, 23, 24, 26, 27, 28, 31, 34, 68
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OFFSET
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1,3
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COMMENTS
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See A007377 for the analog for 2^n (final term seems to be 86), A008839 for 5^n (final term seems to be 58), and others listed in cross-references. - M. F. Hasler, Mar 07 2014
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LINKS
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Eric Weisstein's World of Mathematics, Zero
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EXAMPLE
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Here is 3^68, conjecturally the largest power of 3 that does not contain a zero:
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MATHEMATICA
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Do[If[Union[RealDigits[3^n][[1]]][[1]]!=0, Print[n]], {n, 0, 10000}] (* Vincenzo Librandi, Oct 19 2012 *)
Select[Range[0, 70], DigitCount[3^#, 10, 0]==0&] (* Harvey P. Dale, Feb 06 2019 *)
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PROG
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(Magma) [n: n in [0..500] | not 0 in Intseq(3^n) ]; // Vincenzo Librandi, Oct 19 2012
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CROSSREFS
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For the zeroless numbers (powers x^n), see A238938, A238939, A238940, A195948, A238936, A195908, A195946, A195945, A195942, A195943, A103662.
For the corresponding exponents, see A007377, A030700 (this), A030701, A008839, A030702, A030703, A030704, A030705, A030706, A195944.
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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