General Mathematics


Investigated Prime Numbers Corresponding to Nontrivial Zeros of Riemann Hypothesis

Authors: Toshiro Takami

We investigated prime numbers corresponding to nontrivial zeros. We used walframalpha which exists on the net for all calculation and drawing. In the complex plane, the non-trivial zeros of the zeta function were thought that there were non-trivial zeros besides x = 0.5, and I examined them variously, but they did not show the tendency to converge at all and were inferred to be absent. The zeros of the zeta function probably existed indefinitely at x = 0.5, but they were inferred to be absent elsewhere. In the walframalpha 's Parametric plot, I understood the convergence well. The first zero point at x = 0.5 was set as T1 = 14.1347, and the corresponding prime number was obtained. In the following, prime numbers corresponding to nontrivial zero points T2 = 21.022, T3 = 25.0108, etc. were obtained.

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Submission history

[v1] 2018-08-23 10:25:55

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