Induction - Cornell University
Case 1 : k+1 is a prime number. When k+1 is a prime number, the number is a prime factorization of itself. Therefore, the statement P(k+1) holds. Case 2 : k+1 is not a prime number. We know that k+1 is a composite, so k+1 = p q(p;q 2Z+). Intuitively, we can conclude that p and q are less than or equal to k+1.
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