Difference between revisions of "1983 AHSME Problems/Problem 3"
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Revision as of 06:19, 18 May 2016
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) | ||
Preceded by Problem 3 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
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