Science Bowl Question

📅 MIT Science Bowl 2022🎓 HS🔄 Round 8#️⃣ Question 5 TOSS UP✍️ Short Answer

Let p(i) denote the i-th smallest prime, where p(1) = 2. By name or number, identify all of the following that CANNOT be true of p(i+1)-p(i): 1) The difference is odd 2) The difference is four less than the sixth power of an integer 3) The difference is greater than p(i)

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