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, 2002

"... It is shown that if every odd integer n> 5 is the sum of three primes, then every even integer n> 2 is the sum of two primes. A conditional proof of Goldbach’s conjecture, based on Cramér’s conjecture, is presented. Theoretical and experimental results available on Goldbach’s conjecture allow that a ..."

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It is shown that if every odd integer n> 5 is the sum of three primes, then every even integer n> 2 is the sum of two primes. A conditional proof of Goldbach’s conjecture, based on Cramér’s conjecture, is presented. Theoretical and experimental results available on Goldbach’s conjecture allow that a less restrictive conjecture than Cramér’s conjecture be used in the conditional proof. A basic result of the Maier’s paper on Cramér’s model is criticized. 1