

A088032


Smallest number k such that k^n 1 is divisible by an nth power. a(n) = A088031(n)^(1/n).


2



3, 3, 9, 3, 33, 31, 129, 31, 513, 511, 2049, 1023, 8193, 8191, 32769, 4095, 131073, 131071, 524289, 262143, 2097153, 2097151, 8388609, 2097151
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OFFSET

1,1


COMMENTS

For 2 < n < 18, if n is odd then a(n) = 2^n+1 and if n is even then a(n) = 2^(nA007814(n))1.  David Wasserman, Jun 21 2005
The above also holds for 19 < n < 24. If true for n >= 25 then a(25..29) = 33554433, 33554431, 134217729, 67108863, 536870913.  Lars Blomberg, Feb 09 2016


LINKS

Table of n, a(n) for n=1..24.


EXAMPLE

a(4) = 81 = 3^4 and 811 = 80 == 0 (mod 2^4).


CROSSREFS

Cf. A088031.
Sequence in context: A068219 A157031 A113213 * A066572 A276147 A300782
Adjacent sequences: A088029 A088030 A088031 * A088033 A088034 A088035


KEYWORD

more,nonn


AUTHOR

Amarnath Murthy, Sep 19 2003


EXTENSIONS

Corrected and extended by Ray Chandler, Oct 04 2003
More terms from David Wasserman, Jun 21 2005
More terms from Ryan Propper, Jul 21 2006
a(21)a(24) from Lars Blomberg, Feb 09 2016


STATUS

approved



