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Perfect Powered Temperature (Posted on 2022-01-09) Difficulty: 3 of 5
Each of M and N is a nonnegative integer such that:

Mo Celsius = No Fahrenheit.

Determine all possible values of N<10 such that N is a perfect power.

*** F = (9/5)*C +32, where F denotes degree Fahrenheit and C denotes degree Celsius.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Corrigendum | Comment 4 of 8 |
(In reply to Corrigendum by K Sengupta)

Yes, I noticed in the source for the page, obtainable through right clicking on the page in the browser and choosing to see that source, that during some update in the queue one of the greater  than signs serving as angle brackets for the superscript html tag was converted by the inner workings of the software that handles the input of the comment into the html code for a greater than sign itself. This blotted out the 9 that was now still within the start angle bracket into an indecipherable html code until an actual close angle bracket was found in the slashed version of the superscript code, and returned to normal text.


Whenever modifying an entry check for angle brackets being converted into html code for gt or lt.

In the mean time I have continued past a million and it's still running. As of now it has found [1777760, 3200000, 20, 5], which is 1777760°C = 3200000°F and 3200000=20^5.  Quite hot.

The checking has now passed 7,000,000. I don't think I'll be trying for the billion degrees F.

The program has since found [4660320, 8388608, 2, 23]
and
[11395065, 20511149, 29, 5]

Edited on January 9, 2022, 1:03 pm

Edited on January 9, 2022, 7:07 pm
  Posted by Charlie on 2022-01-09 12:10:27

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