bunching up of perfect powers

[Jud McCranie]

At 10:47 PM 10/10/2002 +0100, Neil Fernandez wrote:
>Continuing the 'differences between perfect powers' theme, I've just
>submitted these:
>..........................................
>
>perfect powers for which the three closest perfect powers are smaller:
>36, 144, 2209 (no others <10^5)
>..........................................

I get
36,144,2209,1664100,1685159,1906624,8000000,10077696,10556001,
12117361,25411681,28629151,52521875,67108864,134217728,387420489



>perfect powers for which the two closest perfect powers are greater:
>25, 121, 2187 (no others <10^5)
>..........................................


I get:

25,121,2187,1860867,4084101,7880599,9765625,11316496,24010000,
33554432,60466176,244140625




>As for:
>
>perfect powers for which the four closest perfect powers are smaller:
>(no terms <10^5)


I get: 1664100,1685159,10077696,10556001,28629151,67108864,134217728


>perfect powers for which the three closest perfect powers are greater:
>(no terms <10^5).


I get: 60466176





+---------------------------------------------------------+
|       Jud McCranie                                      |
|                                                         |
| Programming Achieved with Structure, Clarity, And Logic |
+---------------------------------------------------------+

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