2016 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 7
Problem
For a positive integer let denote the function which assigns the sum of all divisors of . Show that if and are relatively prime positive integers then . For example, , and , so , noting that and are relatively prime integers (they have no common divisor).
Solution
See also
2016 UNM-PNM Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNM-PNM Problems and Solutions |
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