- #1
donglepuss
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What do u think?
Will the Riemann hypothesis be solved by 2100?
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In summary, the conversation revolves around the Riemann Hypothesis and various opinions on its solvability. Littlewood doubts its truth, while John Nash is obsessed with solving it. The speaker's theory suggests that universes where the hypothesis is true are of probability zero, and the conversation also touches on Fermat's Last Theorem and Kurt Gödel's disagreement on the matter. Ultimately, the conversation is deemed off-topic and closed.
- #2
malawi_glenn
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What do you think?
- #3
Hornbein
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I once picked up a book on the Riemann Hypothesis and couldn't even understand the first page. LIttlewood said "I can't see any reason why it would be true." John Nash went nuts trying to solve it.
My pet theory is that Universes in which the Hypothesis is true are of probability zero. We just happen to live in this infinite coincidence. :-)
But if Fermat's Last Theorem can be proved then anything is possible.
My pet theory is that Universes in which the Hypothesis is true are of probability zero. We just happen to live in this infinite coincidence. :-)
But if Fermat's Last Theorem can be proved then anything is possible.
- #4
Tom.G
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Sorry, my crystal ball is having major surgery at the moment.
Since no one knows exactly what its internal processes are, the prognosis is grim.
I'l get back to you if it survives.
If you find an answer before I get back to you, please let me know so your problem can be removed from the "To Do List."
Thank you,
Tom
Since no one knows exactly what its internal processes are, the prognosis is grim.
I'l get back to you if it survives.
If you find an answer before I get back to you, please let me know so your problem can be removed from the "To Do List."
Thank you,
Tom
- #5
Borek
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Kurt Gödel disagrees.Hornbein said:
- #6
DrClaude
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Such speculation is pointless. This thread does not reach PhysicsForums quality standards. It will now be closed.donglepuss said:
FAQ: Will the Riemann hypothesis be solved by 2100?
What is the Riemann Hypothesis?
The Riemann Hypothesis is a conjecture in mathematics proposed by Bernhard Riemann in 1859. It posits that all non-trivial zeros of the Riemann zeta function, a complex function important in number theory, have a real part equal to 1/2. This hypothesis is central to many aspects of number theory and has significant implications for the distribution of prime numbers.
Why is solving the Riemann Hypothesis important?
Solving the Riemann Hypothesis is crucial because it would confirm our understanding of the distribution of prime numbers, which are the building blocks of number theory. Additionally, it has far-reaching implications in various fields such as cryptography, quantum mechanics, and complex systems. Proving or disproving it would be a monumental milestone in mathematics.
What progress has been made toward solving the Riemann Hypothesis?
Over the years, there has been significant progress in understanding the properties of the Riemann zeta function and related areas. Many mathematicians have contributed partial results and insights that support the hypothesis, but a complete proof remains elusive. Several approaches and techniques have been developed, but none have yet succeeded in providing a definitive proof or disproof.
Who are the leading researchers working on the Riemann Hypothesis?
Many prominent mathematicians and researchers have worked on the Riemann Hypothesis, including past figures like G.H. Hardy and John Littlewood, and contemporary mathematicians such as Terence Tao and Andrew Odlyzko. The problem attracts some of the brightest minds in mathematics due to its complexity and significance.
Is it likely that the Riemann Hypothesis will be solved by 2100?
Predicting whether the Riemann Hypothesis will be solved by 2100 is challenging. While significant progress has been made, the problem's inherent complexity makes it difficult to estimate a timeline for its resolution. Advances in mathematical techniques, computational power, and collaborative efforts might increase the chances, but it remains one of the most profound open questions in mathematics.