A Pierpont prime is any prime number \(p\) such that \(p=(2^k)(3^l)+1,\) where \(k\) and \(l\) are non-negative integers

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A Pierpont prime is any prime number \(p\) such that \(p=(2^k)(3^l)+1,\) where \(k\) and \(l\) are non-negative integers. If \(r\) is an integer, is \(r\) a Pierpont prime?

(1) \(1 < r < 5\)
(2) \(0 < r < 4\)

Answer: C

Source: Veritas Prep