Abstract
Let N be a sufficiently large even integer and S(N) denote the number of solutions of the equation \( N = P + {P_2} \)where p denotes a prime and P 2 denotes an almost-prime with at most two prime factors. In this paper we obtain \( S\left( N \right) \geqslant \frac{{0.8285C\left( N \right)N}}{{{{\log }^2}N}} \) where \( C\left( N \right) = \prod\limits_{P >2} {1 - \frac{1}{{{{\left( {P - 1} \right)}^2}}}} \prod\limits_{P\left| {N,P > 2} \right.} {\frac{{P - 1}}{{P - 2}}} \)
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© 2002 Springer Science+Business Media Dordrecht
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Cai, Y., Lu, M. (2002). On Chen’s Theorem. In: Jia, C., Matsumoto, K. (eds) Analytic Number Theory. Developments in Mathematics, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3621-2_6
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DOI: https://doi.org/10.1007/978-1-4757-3621-2_6
Publisher Name: Springer, Boston, MA
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