The Irreducibility of the Primes Is a Manifestation of Hegelianism

The Irreducibility of the Primes Is a Manifestation of Hegelianism

The mathematician, Bernhard Riemann, wrote a paper in 1859, which used the techniques of analytic number theory, to study the primes in an entirely new way. Riemann discovered a remarkable fact: the location of the zeros of the Zeta function encodes the distribution of the prime numbers. Riemann, in a sequence of remarkable mathematical arguments, derived a formula for Chebyshev’s prime staircase in terms of the zeros of the Zeta function:

We can ignore the log(2π) constant term, since it quickly gets swamped as we ascend the number line.

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