1989 AMC 8 Problem 16
Attempt Problem 16 of the 1989 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1989 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
16.
In how many ways can be written as the sum of two primes?
more than
Small hint:
is odd, so one of the two primes must be even
Big hint:
The only even prime is which would force the other prime to be
Solution:
Since is odd, a sum of two primes equal to needs one even prime and one odd prime. The only even prime is
That would require the other number to be but is not prime. So there is no way.
Thus, the correct answer is A .
Problem 16 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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