On Solving a Curious Inequality of Ramanujan

@article{Dudek2015OnSA,
  title={On Solving a Curious Inequality of Ramanujan},
  author={A. Dudek and Dave Platt},
  journal={Experimental Mathematics},
  year={2015},
  volume={24},
  pages={289 - 294}
}
Ramanujan proved that the inequality holds for all sufficiently large values of x. Using an explicit estimate for the error in the prime number theorem, we show unconditionally that it holds if x ≥ exp (9658). Furthermore, we solve the inequality completely on the Riemann hypothesis and show that x = 38 358 837 682 is the largest integer counterexample. 
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