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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: Solution | Comment 6 of 8 |
(In reply to Solution by Larry)

I have already clarified in Corrigendum, that the original intention  was " to determine all possible values of N<10^9  such that N is a perfect power....." However,  the problem was published with the text as;: "possible values of N <10...."


Any inadvertent  inconvenience caused due to the foregoing anomaly  is sincerely regretted 

Charliie has since clarified the reason why this has happened.

I tried to read  your N<10^7 solution, but was unsuccessful in my attempts.

Consequently,  I  am writing this with a request  to repeat your solution.

Edited on January 10, 2022, 2:26 am
  Posted by K Sengupta on 2022-01-10 02:18:36

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