Fair fax county mathmatics league

  • Thread starter jjuugg
  • Start date
  • #1
jjuugg
10
0
Ah...

This problem is very interesting.

but,, I don't know how to solve it... T,T

"If a<b, what are both ordered pairs of integers (a,b) which

satisfy a ^b = b ^ a ?"
 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
43,021
970
Yes, that is a very interesting problem. The first thing I would do is start experimenting with a and b small integers. Have you done that? If so, one of the two pairs should come immediately and the other is not too difficult to find.
 
  • #3
jjuugg
10
0
yay! i got it! is it two and four?
ah! i should have got this question before..T.T anyways thank you><
 
  • #4
Pere Callahan
586
1
(2,4) is one of the two pairs ...
 

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