Difference between revisions of "1992 IMO Problems/Problem 1"
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==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
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