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 X & Y erased (Posted on 2017-11-03)
I've found the following statement on the web:

"The only temperature represented as a prime number in both Celsius and Fahrenheit is X°C (=Y°F).

a. Is there really only one couple (X,Y) fitting the above description?
b. Does it apply to positive values only?

 No Solution Yet Submitted by Ady TZIDON No Rating

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 Solution if I read you right. Comment 1 of 1
To quote Wikipedia:  prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Other definitions are in line with this.  Which seems to answer part b.

The F to C formula C=(5/9)(F-32) guarantees integers only if C is a multiple of 5 and F is 32 more than a multiple of 9 (5 mod 9)
Thus for a couple to exist C must be 5 and indeed F is 41 which is also prime.

The only solution to part a. is (5,41)

If you instead asked for |X| and |Y| to be prime you could also get a solution of (-5,23).  I assume this is what part b. is hinting at.

 Posted by Jer on 2017-11-03 10:14:18

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