Difference between revisions of "2001 JBMO Problems/Problem 1"
Rockmanex3 (talk | contribs) (Solution to Problem 1 — mods are a game changer) |
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Revision as of 10:01, 11 August 2018
Problem
Solve the equation in positive integers.
Solution
Note that for all positive integers the value is congruent to modulo Since we find that
The only numbers congruent to modulo that are also less than are and With some quick checking, we find that the only solutions are
See Also
2001 JBMO (Problems • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
1 • 2 • 3 • 4 | ||
All JBMO Problems and Solutions |