Difference between revisions of "1992 IMO Problems/Problem 6"
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Revision as of 00:44, 17 November 2023
Problem
For each positive integer ,
is defined to be the greatest integer such that, for every positive integer
,
can be written as the sum of
positive squares.
(a) Prove that for each
.
(b) Find an integer such that
.
(c) Prove that there are infinitely many integers such that
.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
1992 IMO (Problems) • Resources | ||
Preceded by Problem 5 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Last Question |
All IMO Problems and Solutions |