2006 iTest Problems/Problem 13
Problem
Suppose that are three distinct prime numbers such that . Find the maximum possible value for the product .
Solution
The prime numbers less than 49 are . The largest must be at least . Afterward, we can perform casework on the largest number. One of the cases is , which is larger than all of the given numeric answer choices. Thus, the answer is .
See Also
2006 iTest (Problems, Answer Key) | ||
Preceded by: Problem 12 |
Followed by: Problem 14 | |
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