Each of M and N is a

*nonnegative integer* such that:

M

^{o} Celsius = N

^{o} 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.

(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**