Known bounds on |π(x) − Li(x)| imply p_n lies between Li⁻¹(n(1 − a f(n ln n))) and Li⁻¹(n(1 + a f(n ln n))), but the stated n* is too small for large-a bounds.
Some explicit estimates for the error term in the prime numb er theorem
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The n-th prime exponentially
Known bounds on |π(x) − Li(x)| imply p_n lies between Li⁻¹(n(1 − a f(n ln n))) and Li⁻¹(n(1 + a f(n ln n))), but the stated n* is too small for large-a bounds.