Difference between revisions of "2008 IMO Problems/Problem 3"
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| − | For each sufficiently large prime <math>p</math> of the form <math>4k+1</math>, we shall find a corresponding <math>n</math> satisfying the required condition. | + | (still editing...)\\ |
| + | For each sufficiently large prime <math>p</math> of the form <math>4k+1</math>, we shall find a corresponding <math>n</math> satisfying the required condition with the prime number in question being <math>p</math>. Since there exist infinitely many such primes and, for each of them, <math>n \ge \sqrt(p-1)</math>, we will have found infinitely many distinct <math>n</math> satisfying the problem. | ||
Revision as of 20:34, 3 September 2008
(still editing...)\\
For each sufficiently large prime 
of the form 
, we shall find a corresponding 
satisfying the required condition with the prime number in question being . Since there exist infinitely many such primes and, for each of them, 
, we will have found infinitely many distinct satisfying the problem.
