A Unsolved problems in number theory and news about them

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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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These unsolved problems are easy to look up via google.
 
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Thread 'What Exactly is Dirac’s Delta Function? - Insight'

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Thread 'Fermat's Last Theorem'

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Thread 'Useless continued fraction for 1'

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