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A008839
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Numbers k such that the decimal expansion of 5^k contains no zeros.
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31
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0, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 17, 18, 30, 33, 58
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OFFSET
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1,3
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COMMENTS
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Probably 58 is last term.
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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 5^58, conjecturally the largest power of 5 that does not contain a 0:
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MATHEMATICA
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Do[ If[ Union[ RealDigits[ 5^n ][[1]]] [[1]] != 0, Print[ n ]], {n, 0, 25000}]
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PROG
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(Magma) [ n: n in [0..500] | not 0 in Intseq(5^n) ]; // Vincenzo Librandi Oct 19 2012
(PARI) for(n=0, 99, vecmin(digits(5^n))&& print1(n", ")) \\ M. F. Hasler, Mar 07 2014
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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, A008839, A030700, 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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Definition corrected and initial term 0 added by M. F. Hasler, Sep 25 2011
Keyword:fini removed by Jianing Song, Jan 28 2023 as finiteness is only conjectured.
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STATUS
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approved
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