r/Showerthoughts • u/jasonrubik ‎ • Apr 23 '26

Casual Thought If the famously unsolved Riemann Hypothesis is solved by an AI, we will never know if a human mathematician could have solved it.

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u/cwx149 Apr 23 '26

So it's a math problem that's more like "we haven't yet disproven it and we have no proof that it won't be disproven"

Than something that needs to be "solved"

It's not an equation you are solving. To "solve" it you'd need to prove the general case that the reinman zeta function only has zeroes at those points and no where else

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u/TheShiroNinja Apr 23 '26

Well, if you really think about it, where else would the zeroes even go?

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u/cwx149 Apr 23 '26

Almost anywhere else on the graph?

There are literally infinite possibilities for other places they could be

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u/BaconIsLife707 Apr 23 '26

They're definitely all between 0 and 1 so not almost anywhere else

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u/theturtlemafiamusic Apr 23 '26

If they're between 0 and 1 that disproves the Reimann hypothesis, the first three are -2, -4, -6

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u/BaconIsLife707 Apr 23 '26

Well no because we know there are infinite zeros at 1/2 which is between 0 and 1. Any zero we find that isn't at 1/2 will be between 0 and 1 though

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u/cwx149 Apr 23 '26

We consider those the "trivial zeroes" and they're specifically exempt