oeis.org
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The answer of this problem is actually based from the last three problems. The answer to problem #1, #2 and #3 are 2 3 , 3 1 , 4 1 respectively. They are the 9th, 11th and 13th prime respectively. So, since the title of this problem says induction and the link oeis.org, the answer to this problem is most probably the 15th prime, 4 7 .