The Riemann Hypothesis
The Riemann hypothesis is equivalent to a much tighter bound on the error in the estimate for, and hence to a more regular distribution of prime numbers,
Specifically,
Read more about this topic: Prime-counting Function
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“The wheels and springs of man are all set to the hypothesis of the permanence of nature. We are not built like a ship to be tossed, but like a house to stand.”
—Ralph Waldo Emerson (1803–1882)