2019 CIME I Problems/Problem 11
We define a positive integer to be if it can be written as the sum of three distinct positive integers
such that
is a multiple of
and
is a multiple of
. Find the sum of all the positive integers which are not
.
Solution 1
The positive integers which are not are
. These sum to
.
See also
2019 CIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All CIME Problems and Solutions |
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