Unsolved problems in number theory and news about them

In summary, number theory is a branch of mathematics that studies the properties of numbers and their relationships. Despite centuries of research, there are still numerous unsolved problems in this field, such as the Goldbach conjecture and the Collatz conjecture. However, recent news includes progress in solving some of these long-standing problems, such as the resolution of the twin prime conjecture and advancements in the study of prime gaps. Additionally, the ongoing research in this area has led to the discovery of new and intriguing mathematical phenomena, highlighting the importance of continued exploration and investigation in number theory.
  • #1
trees and plants
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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  • #2
I’m closing this thread now.

These unsolved problems are easy to look up via google.
 
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