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The prime number theorem determines the average distribution of the primes. The Riemann hypothesis tells us about the deviation from the average. Formulated in Riemann’s 1859 paper, it asserts that all the ‘non-obvious’ zeros of the zeta function are complex numbers with real part 1/2.

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Ssis924 4k Access

[Media Source / Server] ---> [High-Speed HDMI 2.1 Cable] ---> [4K UHD Display with Local Dimming] | | Processes 50+ Mbps Decodes 10-Bit Color HEVC / AV1 Stream & Native 3840x2160

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Legacy HDMI standards cannot cope with high-framerate 4K video. Modern setups demand HDMI 2.1 or DisplayPort 1.4 cables, which provide up to 48 Gbps of bandwidth to support 4K resolution at refresh rates exceeding 120Hz. [Media Source / Server] ---> [High-Speed HDMI 2

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Some numbers have the special property that they cannot be expressed as the product of two smaller numbers, e.g., 2, 3, 5, 7, etc. Such numbers are called prime numbers, and they play an important role, both in pure mathematics and its applications. The distribution of such prime numbers among all natural numbers does not follow any regular pattern.  However, the German mathematician G.F.B. Riemann (1826 – 1866) observed that the frequency of prime numbers is very closely related to the behavior of an elaborate function ζ(s) = 1 + 1/2s + 1/3s + 1/4s + …  called the Riemann Zeta function. The Riemann hypothesis asserts that all interesting solutions of the equation ζ(s) = 0 lie on a certain vertical straight line.

This has been checked for the first 10,000,000,000,000 solutions. A proof that it is true for every interesting solution would shed light on many of the mysteries surrounding the distribution of prime numbers.

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