# Fwd: Re: bunching up of perfect powers

Jud McCranie judmccr at bellsouth.net
Fri Oct 11 02:48:25 CEST 2002

```>
>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 wrote:

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

(corrected) 36,144,2209,6436369

>>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

(corrected) 25,121,2187,6431296,6434856

>>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

(corrected) - none < 2,100,000,000.

>>perfect powers for which the three closest perfect powers are greater:
>>(no terms <10^5).
>
>
>I get: 60466176

(corrected) - none < 2,100,000,000.

Sorry for the error. :-(

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

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