1969 Canadian MO Problems/Problem 7
Problem
Show that there are no integers for which .
Solution
Note that all perfect squares are equivalent to Hence, we have It's impossible to obtain a sum of with two of so our proof is complete.
References
1969 Canadian MO (Problems) | ||
Preceded by Problem 6 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • | Followed by Problem 8 |