In Exercise, use this definition: A prime number is a positive whole number with no factors other than itself and 1. For example, 2, 13, and 37 are primes, but 24 and 39 are not. By convention 1 is not considered prime, so the list of the first few primes is as follows:
(a) If P(x) = x2 − x + 17, find P(1), P(2), P(3), and P(4). Can you find a natural number x for which P(x) is not prime?
(b) If Q(x) = x2 − x + 41, find Q(1), Q(2), Q(3), and Q(4). Can you find a natural number x for which Q(x) is not prime?
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