2002 AMC 12A Problems/Problem 17
Problem
Several sets of prime numbers, such as use each of the nine nonzero digits exactly once. What is the smallest possible sum such a set of primes could have?
Solution
Neither of the digits , , and can be a units digit of a prime. Therefore the sum of the set is at least .
We can indeed create a set of primes with this sum, for example the following sets work: or .
Thus the answer is .
See Also
2002 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 16 |
Followed by Problem 18 |
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