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Number Theory Open

Riemann Hypothesis

Do all non-trivial zeros of the Riemann zeta function lie on the critical line Re(s) = 1/2? The hypothesis governs the finest distribution of the prime numbers.

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  1. Validated increment

    Zero-free verification pushed to greater height

    Independent recomputation confirmed that the first 10^13 non-trivial zeros lie on the critical line, extending the publicly archived certified range used by Arbiter runs.

    Previous best

    First 10^12 zeros certified on the critical line

    New certified

    First 10^13 zeros certified on the critical line

    Arbiter + open zero-database consortium

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