All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
X & Y erased (Posted on 2017-11-03) Difficulty: 3 of 5
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

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution 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
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information