2014 AMC 8

Complete problem set with solutions and individual problem pages

Problem 4 Easy

The sum of two prime numbers is 85. What is the product of these two prime numbers?

  • A.

    85

  • B.

    91

  • C.

    115

  • D.

    133

  • E.

    166

Answer:E

Since the two prime numbers sum to an odd number, one of them must be even. The only even prime number is 2. The other prime number is 85-2=83, and the product of these two numbers is 83\cdot2=\boxed{\textbf{(E)}~166}.