Difference between revisions of "1999 IMO Problems/Problem 4"
(Created page with "==Problem== Determine all pairs <math>(n,p)</math> of positive integers such that <math>p</math> is a prime, <math>n</math> not exceeded <math>2p</math>, and <math>(p-1)^{n}...") |
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Determine all pairs <math>(n,p)</math> of positive integers such that | Determine all pairs <math>(n,p)</math> of positive integers such that | ||
| − | <math>p</math> is a prime, <math>n</math> not exceeded <math>2p</math>, and <math>(p-1)^{n}</math> is divisible by <math>n^{p-1}</math> | + | <math>p</math> is a prime, <math>n</math> not exceeded <math>2p</math>, and <math>(p-1)^{n}+1</math> is divisible by <math>n^{p-1}</math> |
==Solution== | ==Solution== | ||
{{solution}} | {{solution}} | ||
Revision as of 20:02, 7 October 2023
Problem
Determine all pairs 
of positive integers such that
is a prime, 
not exceeded 
, and 
is divisible by 
Solution
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