2. Fix a positive integer k. What does the prime number theorem say about how many prime numbers there are between Nᵏ and Nᵏ⁺¹ as N ---> +∞.
16. Prove that if p1, p2, ... are the positive prime integers, then
Σₖ₌₁∞ 1/pk = ∞.
17. Prove that γ = ∫₀¹ (1 - e⁻ᵗ - e⁻⅟ᵗ)/t dt
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