Recent Progress in the Goldbach Problem
نویسنده
چکیده
The two conjectures are, of course, equivalent. If 2n — 2 = pi+p2, then 2n = pi+p2+2 and 2n + l = pi+p2+3Conversely, if 2n=pi -\-p2-\-pz one of the primes must be 2 and 2n — 2 = pi+p2. An impressive collection of numerical evidence indicating the truth of the conjectures has accumulated in the years since Goldbach's letter was written, but is it not known to this day whether the conjectures are true or false. What progress has been made towards the solution of the problem has been through two principal methods of attack. The first of these is the sieve method (see §§2 and 3) due originally to Brun [ l ] , and improved by Rademacher [16], Esterman [S], Ricci [17], [18], and Buchstab [2], [3]. The best result by this method, due to Buchstab in 1940, is
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