Riemann Hypothesis

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First posited in 1859 by Bernhard Riemann, this has to be one of the most famous unproven hypothesis ever.

It's surprising how much background maths one must first learn to understand the Riemann Hypothesis as it's such an advanced concept.

After all this time and calculating trillions of solutions showing that the zeta function results in zero at an input of exactly a half on the real number line and for trillions of complex number inputs, it's still unproven or disproven. If just one of those complex numbers doesn't lie on the half number line then the hypothesis is disproved (proved false). Why is this so critical? All is explained below.

There's a $1m prize for the mathematician who proves the hypothesis true or false. Fancy giving it a shot? ;)

Here's a quick summary of the hypothesis:


Here's a great explanation of the hypothesis with great visuals that help to understand it.

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Numberphile's take using the famous brown paper:
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This video explains what could finally be the key to proving the hypothesis:
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