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Perfect Powered Temperature (Posted on 2022-01-09)

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.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

CORRIGENDUM
Each of M and s a nonnegative integer such that:
M^o Celsius = N^o Fahrenheit.
Determine all possible values of N <10⁹ such that N is a perfect power.
** F = (9/5)*C +32, where F denotes degree Fahrenheit and C denotes degree Celsius.
----------------------------------------------------------- For a full list of values satisfying the given conditions, refer to the computer program assisted solutions submitted by Charlie here and here.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
No Subject	AwoLare	2023-09-25 09:08:11
No Subject	K Sengupta	2023-04-09 23:09:46
re: A much faster way	Anny Bank	2022-01-22 03:15:06
re: A much faster way -- the complete set for up to a trillion	Charlie	2022-01-10 07:39:42
re: Solution	K Sengupta	2022-01-10 02:18:36
A much faster way	Charlie	2022-01-09 20:31:53
re: Corrigendum	Charlie	2022-01-09 12:10:27
Corrigendum	K Sengupta	2022-01-09 11:12:13
Solution	Larry	2022-01-09 10:17:05
computer solution	Charlie	2022-01-09 10:05:17

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