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  2. Prime number theorem - Wikipedia

    en.wikipedia.org/wiki/Prime_number_theorem

    For example, among the positive integers of at most 1000 digits, about one in 2300 is prime (log(10 1000) ≈ 2302.6), whereas among positive integers of at most 2000 digits, about one in 4600 is prime (log(10 2000) ≈ 4605.2). In other words, the average gap between consecutive prime numbers among the first N integers is roughly log(N). [3]

  3. Fine-structure constant - Wikipedia

    en.wikipedia.org/wiki/Fine-structure_constant

    The fine-structure constant gives the maximum positive charge of an atomic nucleus that will allow a stable electron-orbit around it within the Bohr model (element feynmanium). [20] For an electron orbiting an atomic nucleus with atomic number Z the relation is ⁠ m v 2 / r ⁠ = ⁠ 1 / 4π ε 0 ⁠ ⁠ Z e 2 / r 2 ⁠ .

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