A Unsolved problems in number theory and news about them

AI Thread Summary
The discussion centers on several prominent unsolved problems in number theory, specifically the Riemann hypothesis, Goldbach conjecture, twin primes conjecture, and the infinitude of prime numbers. Participants are encouraged to share any updates or proofs related to these conjectures. The thread highlights the ongoing interest in these mathematical challenges and invites further discussion on their implications. The original poster expresses gratitude for the opportunity to engage with the community. The thread concludes with a note that it will be closed.
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Hello people of physicsforums. Has anyone proved these problems in number theory :Riemann hypothesis, Goldbach conjecture, twin primes conjecture, infinitude of prime numbers? If you want make discussion about them.

Thank you for allowing me participate in physicsforums and for wanting to make discussions on topics of math, physics and other sciences. Have a good day.
 
Mathematics news on Phys.org
I’m closing this thread now.

These unsolved problems are easy to look up via google.
 
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Thread 'Video on imaginary numbers and some queries'

Thread 'Video on imaginary numbers and some queries'

Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
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Thread 'Unit Circle Double Angle Derivations'

Thread 'Unit Circle Double Angle Derivations'

Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
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Thread 'Imaginary Pythagoras'

Thread 'Imaginary Pythagoras'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

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