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    Hardy-Ramanujan Theorem

    Definition

    Let ω(n) be the number of distinct prime factors of n. If Ψ(x) tends steadily to infinity with x, then ln ln x - Ψ(x) sqrt(ln ln x)<ω(n)Ψ(x) sqrt(ln ln x) approaches 0 as x->∞.

    Associated people

    Godfrey Harold Hardy | Srinivasa Aiyangar Ramanujan