Interview Question: Prime Average

Sample Question #311 (math)

Can the average of two consecutive prime numbers ever be a prime, too? Prove your answer mathematically.

[Hint: read the question carefully… this is a really easy one]

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One Response to Interview Question: Prime Average

  1. Brett says:

    ANSWERNo math needed! By definition, there cannot be another prime between two *consecutive* prime numbers. Of course, you do need to remember that the average of any two positive numbers must be between those two numbers. (If you forgot this basic fact, you shouldn’t consider a career in quant-oriented finance.)

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