Suppose that k is chosen so that the three numbers
6k + 1, 12k + 1, 18k + 1
are all prime numbers.
(a) Prove that their product n = (6k + 1)(12k + 1)(18k + 1) is a Carmichael number.
(b) Find the first five values of k for which this method works and give the Carmichael numbers produced by the method
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