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Primesmedium
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Suppose S={p1,p2,…,pk}S = \{p_1, p_2, \dots, p_k\}S={p1​,p2​,…,pk​} is the set of all prime numbers. Consider the number U=(p1p2…pk)−1U = (p_1 p_2 \dots p_k) - 1U=(p1​p2​…pk​)−1. Why does the existence of UUU lead to a contradiction?