1983 AHSME Problems/Problem 3
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Problem 3
Three primes 
, and 
satisfy 
and 
. Then 
equals
Solution
We are given that and are primes. In order to sum two another prime, either or 
has to be even, because the sum of an odd and an even is odd. The only odd prime is 
, and it is also the smallest prime, so therefore, the answer is 
See Also
| 1983 AHSME (Problems • Answer Key • Resources) | ||
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Followed by Problem 4 | |
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These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. 
