2021 CMC 12A Problems/Problem 7
- The following problem is from both the 2021 CMC 12A #7 and 2021 CMC 10A #9, so both problems redirect to this page.
Problem
It is known that every positive integer can be represented as the sum of at most squares. What is the sum of the smallest integers which cannot be represented as the sum of fewer than squares?
Solution
We cannot find a solution in fewer than squares for and , so the answer is .
See also
2021 CMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 6 |
Followed by Problem 8 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All CMC 12 Problems and Solutions |
2021 CMC 10A (Problems • Answer Key • Resources) | |
Preceded by Problem 8 |
Followed by Problem 10 |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
All CMC 10 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.