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Chen's Theorem(Digest)

Itodov
2013-10-03 14:54:22 分类:球彼郑南 标签:数论 质数 哥德巴赫猜想 陈景润 
陈氏定理简介,即陈景润证明的数论中著名的哥德巴赫猜想的倒数第二步“1+2”。
Chen Jingrun

Every "large" even number may be written as 2n=p+m where p is a prime and m in P union P_2 is the set of primes P and semiprimes P_2.

SEE ALSO: Almost Prime, Chen Prime, Goldbach Conjecture, Prime Number, Schnirelmann's Theorem, Semiprime

REFERENCES:

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. I." Sci. Sinica 16, 157-176, 1973.

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. II." Sci. Sinica 16, 421-430, 1978.

Hardy, G. H. and Wright, W. M. "Unsolved Problems Concerning Primes." Appendix §3 in An Introduction to the Theory of Numbers, 5th ed. Oxford, England: Oxford University Press, pp. 415-416, 1979.

Ribenboim, P. The New Book of Prime Number Records. New York: Springer-Verlag, p. 297, 1996.

Rivera, C. "Problems & Puzzles: Conjecture 002.-Chen's Conjecture." http://www.primepuzzles.net/conjectures/conj_002.htm.

Ross, P. M. "On Chen's Theorem that Each Large Even Number has the Form p_1+p_2 or p_1+p_2p_3." J. London Math. Soc. 10, 500-506, 1975.




CITE THIS AS:

Weisstein, Eric W. "Chen's Theorem." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/ChensTheorem.html

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