Chinese Quarterly Journal of Mathematics ›› 2003, Vol. 18 ›› Issue (4): 425-428.

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Several Research Results of π(x+y)≤ π(x)+ π(y)

  

  1. Department of Basic Courses ,A nyang  University ,A nyang 455000,China
  • Received:2003-06-04 Online:2003-12-30 Published:2024-04-03
  • About author:WANG Guo-fu(1964-),male,native of Anyang,Henan,a lecturer of Anyang University ,M.S.D.,en- gage in theory of number;ZHANG Chang-chun(1953-),male,native of Anyang,Henan,an associate professor of Anyang University ,M.S.D.,engage in theory of number.
  • Supported by:
    Supported by the Henan Programming of Education:the New and Interesting Teaching Method in Math- ematics(2000-JKGHA-115)

Abstract: The famous conjecture in distribution of prime numbers remains unsolved whether there exists a constant inequality of“ π(x + y)≤ π(x)+ π(y)”for all integers such as x ,y ≥2.The present article argues that when x >11,y ≤30,there always is a constant tenable inequality.

Key words: distribution of prime numbers, inequality, conjecture, attestation

CLC Number: