1992 IMO Problems/Problem 1: Difference between revisions
No edit summary |
|||
| Line 1: | Line 1: | ||
==Problem== | ==Problem== | ||
Find all integers <math>a</math>, <math>b</math>, <math>c</math> satisfying <math>1 < a < b < c</math> such that <math>(a - 1)(b -1)(c - 1)</math> is a divisor of <math>abc - 1</math>. | Find all integers <math>a</math>, <math>b</math>, <math>c</math> satisfying <math>1 < a < b < c</math> such that <math>(a - 1)(b -1)(c - 1)</math> is a divisor of <math>abc - 1</math>. | ||
== Solution == | |||
{{solution}} | |||
Revision as of 14:30, 6 October 2023
Problem
Find all integers
,
,
satisfying
such that
is a divisor of
.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.