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10 steps: (1) How are primes DISTRIBUTED among integers? They thin out but never stop. (2) PRIME COUNTING FUNCTION: π(x) = number of primes ≤ x. π(10)=4, π(100)=25, π(1000)=168. (3) PRIME NUMBER THEOREM: π(x) ~ x/ln(x) as x→∞. Primes have density ~1/ln(x). (4) RIEMANN ZETA FUNCTION: ζ(s) = Σ 1/n^s f

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