A Unsolved problems in number theory and news about them

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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.
 
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I’m closing this thread now.

These unsolved problems are easy to look up via google.
 
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Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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