2014 AMC 8 Problem 4
Attempt Problem 4 of the 2014 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 2014 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
4.
The sum of two prime numbers is What is the product of these two prime numbers?
Small hint:
An odd sum of two primes must include the only even prime.
Big hint:
Subtract that even prime from .
Solution:
The sum of two odd primes is even. Since is odd, one of the primes must be the only even prime, .
The other prime is , so the product is .
Thus, E is the correct answer.
Problem 4 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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