Abstract
Let N be a sufficiently large even integer. In this paper it is proved that the equation
is solvable, where p denotes a prime and P 2 denotes an almost prime with at most two prime factors.
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Chen, J. R.: On the representation of a large even integer as the sum of a prime and the product of at most two primes. Kexue Tongbao, 17, 385–386 (1966)
Chen, J. R.: On the representation of a large even integer as the sum of a prime and the product of at most two primes. Sci. Sin., 16, 157–176 (1973)
Halberstam, H.: A proof of Chen's Theorem. Asterisque, 24–25, 281–293 (1975)
Chen, J. R.: On the representation of a large even integer as the sum of a prime and the product of at most two primes. Sci. Sin., 21, 421–430 (1978)
Chen, J. R.: On the representation of a large even integer as the sum of a prime and the product of at most two primes. Sci. Sin., 21, 477–494 (1978) (in Chinese)
Lu, M. G., Cai, Y. C.: On Chen's Theorem, to appear
Iwaniec, H.: Rosser's sieve, Recent Progress in Analytic Number Theory II, London: Academic Press, 203–230 (1981)
Pan, C. D., Pan, C. B.: Goldbach Conjecture, Beijing: Science Press, 175–176 (1992)
Wu, J.: Theoremes generalises de Bombieri-Vinogradov dans les petits applications, intervalles. Quart. J. Math., (Oxford), 44, 109–128 (1993)
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Cai, Y.C. Chen's Theorem with Small Primes. Acta Math Sinica 18, 597–604 (2002). https://doi.org/10.1007/s101140200168
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DOI: https://doi.org/10.1007/s101140200168