We prove that assuming the Generalized Riemann Hypothesis every even integer larger than exppexpp15.85qq can be written as the sum of a prime number and a number that has at most two prime factors. * The research was supported by OP RDE project No. CZ.02.2.69{0.0{0.0{18_053{0016976 International mobility of research, technical and administrative staff at Charles University.
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