SOLVING TWO TOPICAL PROBLEMS

The Goldbach-Euler binary problem is formulated as follows: Any even  number, starting from 4, can  be  represented  as  the  sum  of  two  primes.  The  ternary  Goldbach  problem  is  formulated  as follows:  Every  odd  number  greater  than  7  can  be  represented  as  the  sum  of  three  odd  primes, which  was  finally  solved  in  2013.  In  1995,  Olivier  Ramare  proved  that  any  even  number  is  the sum  of  no  more  than  6  primes.[9] The  second  problem  is  about  the  infinity  of  twin  primes.  The author carries out the proof   by the methods of elementary number theory.