1977 Canadian MO Problems/Problem 3
Problem
is an integer whose representation in base is Find the smallest positive integer for which is the fourth power of an integer.
Solution
Rewriting in base for some integer Because and is prime, Since we want to minimize we check to see if works.
When Solving this quadratic, .
1977 Canadian MO (Problems) | ||
Preceded by Problem 2 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • | Followed by Problem 4 |