The Goldbach conjecture  is that every even number larger than 2 can be expressed as a sum of two primes.
Recently, in 2000, some new direction of proof of Goldbach conjecture has been forwarded by Kalita .
Fermat's Last Theorem presents findings in connection with FLT and also discusses the Goldbach Conjecture
Last week we were winding up our solutions to both the Delian Problem and the Goldbach Conjecture
Note that to prove Theorem 2 which immediately implies the Mersenne primes conjecture and the fact that this conjecture (that we solved) was only an obvious special case of the Goldbach conjecture, we consider a couple (n, f(n)) such that (n, f (n)) is a counter-example with n minimum and f(n, 2) minimum.
4) of Remark 2, it becomes trivial to deduce that the Mersenne primes conjecture is an obvious special case of the Goldbach conjecture.
5] Ikorong Anouk Gilbert Nemron, Concerning The Goldbach Conjecture And The Fermat Last Assertion, Will appear in Communication in Mathematics and Application 2011.
7] Ikorong Anouk Gilbert Nemron, An Obvious Synopsis Around The Goldbach Conjecture And The Fermat Last Assertion, 2000, 1-3 (Never published).
Other problems discussed include the Goldbach Conjecture
, the Four Color Theorem, the Kepler Conjecture, the Mordell Conjecture, the Riemann Hypothesis, the Poincare Conjecture, the P/NP Problem, the Navier-Stokes Equation, the Mass Gap Hypothesis, the Birch-Swinnerton-Dyer Conjecture, and the Hodge Conjecture.
Progress in proving the Goldbach conjecture has been slow.
This evidence supports the Goldbach conjecture, Richstein notes.
1] Pan Chengdong and Pan Chengbiao, Goldbach Conjecture
, Science Press, Beijing, 1992.