

A130080


Smallest number whose sixth power has n digits.


5



1, 2, 3, 4, 5, 7, 10, 15, 22, 32, 47, 69, 100, 147, 216, 317, 465, 682, 1000, 1468, 2155, 3163, 4642, 6813, 10000, 14678, 21545, 31623, 46416, 68130, 100000, 146780, 215444, 316228, 464159, 681293, 1000000, 1467800, 2154435, 3162278, 4641589
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OFFSET

1,2


COMMENTS

Powers of sixth root of 10 rounded up.


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000


FORMULA

a(n) = ceiling(10^((n1)/6))


EXAMPLE

6^6 = 46656 has five digits, 7^6 = 117649 has six digits, hence a(6) = 7.


MATHEMATICA

Table[(Ceiling[10^((n  1)/6)]), {n, 1, 100}] (* Vincenzo Librandi, Sep 20 2013 *)


PROG

(MAGMA) [ Ceiling(Root(10^(n1), 6)): n in [1..41] ];


CROSSREFS

Cf. A011557 (powers of 10), A017936 (smallest number whose square has n digits), A018005 (smallest number whose cube has n digits), A018074 (smallest number whose fourth power has n digits), A018143 (smallest number whose fifth power has n digits), A130081 to A130084 (smallest number whose seventh ... tenth power has n digits).
Sequence in context: A282582 A282502 A212463 * A057496 A191864 A180348
Adjacent sequences: A130077 A130078 A130079 * A130081 A130082 A130083


KEYWORD

nonn,base,easy


AUTHOR

Klaus Brockhaus, May 07 2007


STATUS

approved



