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The Riemann Hypothesis
The non-trivial zeros of the Riemann zeta function all have real part exactly 1/2. Verified for the first 10¹³ zeros. A proof would resolve the distribution of primes via the explicit formula:
ψ(x) = x − Σ xᵖ/ρ − ln(2π)
where ρ runs over non-trivial zeros.
The non-trivial zeros of the Riemann zeta function all have real part exactly 1/2. Verified for the first 10¹³ zeros. A proof would resolve the distribution of primes via the explicit formula:
ψ(x) = x − Σ xᵖ/ρ − ln(2π)
where ρ runs over non-trivial zeros.