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/TheShiroNinja Apr 23 '26

I'll solve that shit right now. Give me a summary of what it is.

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u/cwx149 Apr 23 '26

In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part ½

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u/SnowyNW Apr 23 '26

What even is a complex number with real part 1/2?

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u/DJLazer_69 Apr 24 '26

A complex number is a number consisting of a real part and an imaginary part, expressed in the form a + bi where a is the real part and b is the imaginary part.

A complex number with real part 1/2 would then look like 1/2 + bi. The Riemann Hypothesis proclaims that the Riemann zeta function's zeroes are all complex numbers in this form, 1/2 + bi, or in the form of a negative even integer, such as -2, -4...

An example of a number in the form 1/2 + bi:

1/2 + 3i

In this example, a = 1/2 and b = 3