Difference between revisions of "2020 CIME I Problems/Problem 10"
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==Solution== | ==Solution== | ||
| − | + | the only such positive integer is <math>288</math> i put <math>288</math> confirmed? | |
| + | ==See also== | ||
{{CIME box|year=2020|n=I|num-b=9|num-a=11}} | {{CIME box|year=2020|n=I|num-b=9|num-a=11}} | ||
[[Category:Intermediate Number Theory Problems]] | [[Category:Intermediate Number Theory Problems]] | ||
{{MAC Notice}} | {{MAC Notice}} | ||
Revision as of 15:35, 1 September 2020
Problem 10
Let 
be the divisors of a positive integer 
. Let 
be the sum of all positive integers satisfying ![\[n=d_1^1+d_2^2+d_3^3+d_4^4.\]](http://latex.artofproblemsolving.com/0/5/4/054ee241ffbf72252a3df17d35fb103104662401.png)
Find the remainder when is divided by 
.
Solution
the only such positive integer is 
i put confirmed?
See also
| 2020 CIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All CIME Problems and Solutions | ||
The problems on this page are copyrighted by the MAC's Christmas Mathematics Competitions. 
