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Science Journal


Academia Arena


ISSN 1553-992X (print); ISSN 2158-771X (online), doi prefix: 10.7537, Monthly

Volume 8 - Special Issue 3 (Supplement Issue 3), April 27, 2016

Cover Page, Introduction, Contents, Call for Papers, All papers in one file


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Titles / Authors /Abstracts

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Jiang’s function  in prime distribution


Jiang Chunxuan (蒋春暄)


Institute for Basic Research, Palm Harbor, FL34682-1577, USA

And: P. O. Box 3924, Beijing 100854, China (蒋春暄,北京3924信箱,100854)

jiangchunxuan@sohu.com, cxjiang@mail.bcf.net.cn, jcxuan@sina.com, Jiangchunxuan@vip.sohu.com, jcxxxx@163.com


Abstract: We define that prime equations


are polynomials (with integer coefficients) irreducible over integers, where  are all prime. If Jiang’s function  then 5has finite prime solutions. If  then there are infinitely many primes  such that  are  primes. We obtain a unite prime formula in prime distribution


Jiang’s function is accurate sieve function. Using Jiang’s function we prove about 600 prime theorems [6]. Jiang’s function provides proofs of the prime theorems which are simple enough to understand and accurate enough to be useful.

[Jiang Chunxuan (蒋春暄). Jiang’s function  in prime distribution. Academ Arena 2016;8(3s):1-283]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 1. doi:10.7537/marsaaj0803s16.01.


Keywords:  Automorphic Function; Fermat’s Last Theorem; exponent; Jiang Chunxuan

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The articles in this issue are presented as online first for peer-review starting from March 27, 2016. 

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