Interview Question: Another Prime Puzzle

Sample Question #40 (mathematics – number theory)

Can you show that, for any prime number p that is at least equal to 5, the value of p2-1 is a multiple of 24 (i.e., wholly divisible by 24)?

[Taken from webpage "The Prime Puzzle"]

(Comment: I personally find questions like these appalling; unfortunately, they are extremely popular at quant interviews)

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2 Responses to Interview Question: Another Prime Puzzle

  1. Brett says:

    Thanks, anonymous visitor.  This is a pretty tough question, and it’s likely to be asked only of candidates who have a strong math background (e.g., math Ph.D. students or ex-math Olympiads competitors!). 

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