Difference between revisions of "1997 USAMO Problems/Problem 1"
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Revision as of 08:43, 1 July 2011
Problem
Let be the prime numbers listed in increasing order, and let be a real number between and . For positive integer , define
where denotes the fractional part of . (The fractional part of is given by where is the greatest integer less than or equal to .) Find, with proof, all satisfying for which the sequence eventually becomes .
Solution
1997 USAMO (Problems • Resources) | ||
Preceded by Problem First Question |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAMO Problems and Solutions |