2019 CIME I Problems/Problem 11: Difference between revisions
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We define a positive integer to be < | We define a positive integer to be <math>multiplicative</math> if it can be written as the sum of three distinct positive integers <math>x, y, z</math> such that <math>y</math> is a multiple of <math>x</math> and <math>z</math> is a multiple of <math>y</math>. Find the sum of all the positive integers which are not <math>multiplicative</math>. | ||
=Solution 1= | =Solution 1= | ||
Revision as of 16:46, 3 October 2020
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
We don't know yet.
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 | ||