No.

Titles / Authors /Abstracts

Full Text

No.

1

Twin prime conjecture and Goldbach Conjecture

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China. jcxuan@sina.com

Abstract: Using Jiang function we prove that there exist infinitely many primes  such that  is prime We prove twin prime conjecture and Goldbach conjecture.

[Chun-Xuan Jiang. Twin prime conjecture and Goldbach Conjecture. Academ Arena 2015;7(1s):1-2]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 1

doi:10.7537/marsaaj0701s15.01

Keywords: prime; theorem; function; number

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1

2

On The Prime Equations:  and

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China. jcxuan@sina.com

Abstract: Using Jiang function we prove that there exist infinitely many primes  such that  and  are all prime.

[Chun-Xuan Jiang. On The Prime Equations:  and . Academ Arena 2015;7(1s): 3-3]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 2

doi:10.7537/marsaaj0701s15.02

Keywords: prime; theorem; function; number; new

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2

3

On The Prime Equations:

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jcxuan@sina.com

Abstract: Using Jiang function we prove that there exist infinitely many primes  such that each  is a prime.

[Chun-Xuan Jiang. On The Prime Equations:. Academ Arena 2015;7(1s): 4-4]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 3

doi:10.7537/marsaaj0701s15.03

Keywords: prime; theorem; function; number; new

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3

4

On The Prime Equations:

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China. jcxuan@sina.com

Abstract: Using Jiang function we prove that there exist infinitely many primes  such that each  is a prime.

[Chun-Xuan Jiang. On The Prime Equations:. Academ Arena 2015;7(1s): 5-5]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 4

doi:10.7537/marsaaj0701s15.04

Keywords: prime; theorem; function; number; new

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4

5

On The Prime Equations:

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China. jcxuan@sina.com

Abstract: Using Jiang function we prove that there exist infinitely many primes  such that each  is a prime.

[Chun-Xuan Jiang. On The Prime Equations:. Academ Arena 2015;7(1s): 6-6]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 5

doi:10.7537/marsaaj0701s15.05

Keywords: prime; theorem; function; number; new

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5

6

On The Prime Equatons:

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China. jcxuan@sina.com

Abstract: Using Jiang function we prove that there exist infinitely many primes  such that each  is a prime.

[Chun-Xuan Jiang. On The Prime Equatons: . Academ Arena 2015;7(1s): 7-7]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 6

doi:10.7537/marsaaj0701s15.06

Keywords: prime; theorem; function; number; new

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6

7

On The Prime theorem:

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jcxuan@sina.com

Abstract: Using Jiang function we prove that there exist infinitely many primes  such that each  is a prime.

[Chun-Xuan Jiang. On The Prime theorem:. Academ Arena 2015;7(1s): 8-8]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 7

doi:10.7537/marsaaj0701s15.07

Keywords: prime; theorem; function; number; new

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7

8

On The Prime theorem:

 has no prime solutions

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jcxuan@sina.com

Abstract: Using Jiang function we prove that  has no prime solutions.

[Chun-Xuan Jiang. On The Prime theorem:  has no prime solutions. Academ Arena 2015;7(1s): 9-10]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 8

doi:10.7537/marsaaj0701s15.08

Keywords: prime; theorem; function; number; new

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8

9

There are finite Fermat primes

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China. jcxuan@sina.com

Abstract: Using Jiang function we prove the finite Fermat primes.

[Chun-Xuan Jiang. There are finite Fermat primes. Academ Arena 2015;7(1s): 11-11]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 9

doi:10.7537/marsaaj0701s15.09

Keywords: prime; theorem; function; number; new

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9

10

There are finite Mersenne primes and There are finite repunits primes

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jcxuan@sina.com

Abstract:Using Jiang function we prove the finite Mersenne primes and the finite repunits primes.

[Chun-Xuan Jiang. There are finite Mersenne primes and There are finite repunits primes. Academ Arena 2015;7(1s): 12-13]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 10

doi:10.7537/marsaaj0701s15.10

Keywords: prime; theorem; function; number; new

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10

11

The New Prime theorem（11）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China. jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that  has infinitely many prime solutions.

[Chun-Xuan Jiang. The New Prime theorem（11）. Academ Arena 2015;7(1s): 14-14]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 11

doi:10.7537/marsaaj0701s15.11

Keywords: prime; theorem; function; number; new

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11

12

The New Prime theorem（12）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that  has infinitely many prime solutions.

[Chun-Xuan Jiang. The New Prime theorem（12）. Academ Arena 2015;7(1s): 15-15]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 12

doi:10.7537/marsaaj0701s15.12

Keywords: prime; theorem; function; number; new

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12

13

The New Prime theorem（13）

 and

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that  have infinitely many prime solutions and  have finite prime solutions.

[Chun-Xuan Jiang. The New Prime theorem（13） and . Academ Arena 2015;7(1s): 16-17]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 13

doi:10.7537/marsaaj0701s15.13

Keywords: prime; theorem; function; number; new

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13

14

The New Prime theorem（14）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that there exist infinitely many primes  such that each of  is a prime.

[Chun-Xuan Jiang. The New Prime theorem（14）. Academ Arena 2015;7(1s): 18-20]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 14

doi:10.7537/marsaaj0701s15.14

Keywords: prime; theorem; function; number; new

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14

15

The New Prime theorem（15）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that there exist infinitely many primes  such that each of  is a prime.

[Chun-Xuan Jiang. The New Prime theorem（15）. Academ Arena 2015;7(1s): 21-22]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 15

doi:10.7537/marsaaj0701s15.15

Keywords: prime; theorem; function; number; new

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15

16

The New Prime theorem（16）:

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China. jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that there exist infinitely many primes  such that each of  is a prime. [Chun-Xuan Jiang. The New Prime theorem（16）. Academ Arena 2015;7(1s): 23-23]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 16

doi:10.7537/marsaaj0701s15.16

Keywords: prime; theorem; function; number; new

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16

17

The New Prime theorem（17）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that such that  has infinitely many prime solutions.

[Chun-Xuan Jiang. The New Prime theorem（17）. Academ Arena 2015;7(1s): 24-25]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 17

doi:10.7537/marsaaj0701s15.17

Keywords: prime; theorem; function; number; new

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17

18

The New Prime theorem（18）

Hardy-Littlewood Conjecture

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove Hardy-Littlewood conjecture [2].

[Chun-Xuan Jiang. The New Prime theorem（18）Hardy-Littlewood Conjecture . Academ Arena 2015;7(1s): 26-27]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 18

doi:10.7537/marsaaj0701s15.18

Keywords: prime; theorem; function; number; new

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18

19

The New Prime theorem（19）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that such that  has infinitely many prime solutions.

[Chun-Xuan Jiang. The New Prime theorem（19）. Academ Arena 2015;7(1s): 28-29]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 19

doi:10.7537/marsaaj0701s15.19

Keywords: prime; theorem; function; number; new

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19

20

The New Prime theorem（20）

Hardy-Littlewood prime K-tuple lonjecture

Chun-Xuan Jiang

jiangchunxuan@vip.sohu.com

Institute for Basic Research

Palm Harbor, FL 34682, U.S.A.

Abstract: Using Jiang function we prove that Jiang prime -tuple theorem is true[1-3] and Hardy-Littlewood prime -tuple conjecture is false[4-8]. The tool of additive prime number theory is basically the Hardy-Littlewood prime tuple conjecutre, but cannot prove and count any prime problems[6].

[Chun-Xuan Jiang. The New Prime theorem（20）Hardy-Littlewood prime K-tuple lonjecture. Academ Arena 2015;7(1s): 30-32]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 20

doi:10.7537/marsaaj0701s15.20

Keywords: prime; theorem; function; number; new

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20

21

The New Prime theorem（21）Hardy-Littlewood conjecture A:

Binary Goldbach conjecture and

Chun-Xuan Jiang

Institute for Basic Research Palm Harbor, FL 34682, U.S.A. 

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove binary Goldbach conjecture and [4].

[Chun-Xuan Jiang. The New Prime theorem（21）Hardy-Littlewood conjecture A: Binary Goldbach conjecture and . Academ Arena 2015;7(1s): 33-34]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 21

doi:10.7537/marsaaj0701s15.21

Keywords: prime; theorem; function; number; new

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21

22

The New Prime theorem（22）

Hardy-Littlewood conjecture B:

Chun-Xuan Jiang

Institute for Basic Research, Palm Harbor, FL 34682, U.S.A.

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove Hardy-Littlewood conjecture B: [4].

[Chun-Xuan Jiang. The New Prime theorem（22）Hardy-Littlewood conjecture B:. Academ Arena 2015;7(1s): 35-36]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 22

doi:10.7537/marsaaj0701s15.22

Keywords: prime; theorem; function; number; new

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22

23

The New Prime theorem（23）

Hardy-Littlewood conjecture F:

Chun-Xuan Jiang

Institute for Basic Research, Palm Harbor, FL 34682, U.S.A.

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove Hardy-Littlewood conjecture F:[4].

[Chun-Xuan Jiang. The New Prime theorem（23）Hardy-Littlewood conjecture F:. Academ Arena 2015;7(1s): 37-38]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 23

doi:10.7537/marsaaj0701s15.23

Keywords: prime; theorem; function; number; new

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23

24

The New Prime theorem（24）Hardy-Littlewood conjecture K:

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

Jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove Hardy-Littlewood conjecture K: [4].

[Chun-Xuan Jiang. The New Prime theorem（24）Hardy-Littlewood conjecture K:. Academ Arena 2015;7(1s): 39-40]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 24

doi:10.7537/marsaaj0701s15.24

Keywords: prime; theorem; function; number; new

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24

25

The New Prime theorem（25）

Hardy-Littlewood conjecture M:

Chun-Xuan Jiang

Institute for Basic Research Palm Harbor, FL 34682, U.S.A. Jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove Hardy-Littlewood conjecture M:  [4].

[Chun-Xuan Jiang. The New Prime theorem（25）Hardy-Littlewood conjecture M: . Academ Arena 2015;7(1s): 41-42]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 25

doi:10.7537/marsaaj0701s15.25

Keywords: prime; theorem; function; number; new

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25

26

The New Prime theorem（26）

Hardy-Littlewood conjecture N:

Chun-Xuan Jiang

jiangchunxuan@vip.sohu.com

Institute for Basic Research, Palm Harbor, FL 34682, U.S.A.

Abstract: Using Jiang function we prove Hardy-Littlewood conjecture N:  [4].

[Chun-Xuan Jiang. The New Prime theorem（26） Hardy-Littlewood conjecture N:. Academ Arena 2015;7(1s): 43-44]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 26

doi:10.7537/marsaaj0701s15.26

Keywords: prime; theorem; function; number; new

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26

27

The New Prime theorem（27）

Hardy-Littlewood conjecture P:  and

Chun-Xuan Jiang

Institute for Basic Research Palm Harbor, FL 34682, U.S.A.

Jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove Hardy-Littlewood conjecture P:  and [4].

[Chun-Xuan Jiang. The New Prime theorem（27）Hardy-Littlewood conjecture P:  and . Academ Arena 2015;7(1s): 45-46]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 27

doi:10.7537/marsaaj0701s15.27

Keywords: prime; theorem; function; number; new

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27

28

The New Prime theorem（28）

 and

Chun-Xuan Jiang

P.O.Box3924, Beijing100854, P.R. China. Jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that  and  have infinitely many prime solutions.

[Chun-Xuan Jiang. The New Prime theorem（28） and . Academ Arena 2015;7(1s): 47-48]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 28

doi:10.7537/marsaaj0701s15.28

Keywords: prime; theorem; function; number; new

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28

29

The New Prime theorem（29）

 and

Chun-Xuan Jiang

P.O.Box3924, Beijing100854, P.R. China. Jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove and  and .

[Chun-Xuan Jiang. The New Prime theorem（29） and . Academ Arena 2015;7(1s): 49-50]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 29

doi:10.7537/marsaaj0701s15.29

Keywords: prime; theorem; function; number; new

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29

30

The New Prime theorem（30）

 and

Chun-Xuan Jiang

P.O. Box 3924, Beijing 100854, P.R. China

Jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove  and

[Chun-Xuan Jiang. The New Prime theorem（30） and . Academ Arena 2015;7(1s): 51-53]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 30

doi:10.7537/marsaaj0701s15.30

Keywords: prime; theorem; function; number; new

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30

31

The New Prime theorem（31）

 and

Chun-Xuan Jiang

P.O. Box 3924, Beijing 100854, P.R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove  and .

[Chun-Xuan Jiang. The New Prime theorem（31） and . Academ Arena 2015;7(1s): 54-56]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 31

doi:10.7537/marsaaj0701s15.31

Keywords: prime; theorem; function; number; new

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31

32

The New Prime theorem（32）

Chun-Xuan Jiang

P.O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract： Using Jiang function we prove (D. R. Heath-Brown, prime represented by , Acta Math., 186(2001)1-84).

[Chun-Xuan Jiang. The New Prime theorem（32）. Academ Arena 2015;7(1s): 57-58]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 32

doi:10.7537/marsaaj0701s15.32

Keywords: prime; theorem; function; number; new

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32

33

The New Prime theorem（33）

Chun-Xuan Jiang

P.O. Box 3924, Beijing 100854, P.R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove  (J. Friedlander and H. Iwaniec, The polynomial  Captures its primes, Ann. Math., 148(1998) 945-1040).

[Chun-Xuan Jiang. The New Prime theorem（33）. Academ Arena 2015;7(1s): 59-60]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 33

doi:10.7537/marsaaj0701s15.33

Keywords: prime; theorem; function; number; new

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33

34

The New Prime theorem（34）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that if  then there are infinitely many primes  such that each of  is a prime, if  then there are finitely many primes  such that each of  is a prime.

[Chun-Xuan Jiang. The New Prime theorem（34）. Academ Arena 2015;7(1s): 61-63]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 34

doi:10.7537/marsaaj0701s15.34

Keywords: prime; theorem; function; number; new

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34

35

The New Prime theorem（35）

 and

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

Jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that there are infinitely many primes  such that  and  are all prime.

[Chun-Xuan Jiang. The New Prime theorem（35） and . Academ Arena 2015;7(1s): 64-65]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 35

doi:10.7537/marsaaj0701s15.35

Keywords: prime; theorem; function; number; new

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35

36

The New Prime theorem（36）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

Jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that there are infinitely many primes  such that each of  is a prime.

[Chun-Xuan Jiang. The New Prime theorem（36）. Academ Arena 2015;7(1s): 66-67]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 36

doi:10.7537/marsaaj0701s15.36

Keywords: prime; theorem; function; number; new

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36

37

The New Prime theorem（37）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that there are infinitely many primes  such that each of  is a prime.

[Chun-Xuan Jiang. The New Prime theorem（37）. Academ Arena 2015;7(1s): 68-69]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 37

doi:10.7537/marsaaj0701s15.37

Keywords: prime; theorem; function; number; new

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37

38

The New Prime theorem（38）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that there are infinitely many primes  such that each of  is a prime.

[Chun-Xuan Jiang. The New Prime theorem（38）. Academ Arena 2015;7(1s): 70-71]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 38

doi:10.7537/marsaaj0701s15.38

Keywords: prime; theorem; function; number; new

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38

39

The New Prime theorem（39）

On the

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that if  then there are infinitely many primes  such that each of  is a prime, if  then there are finite primes  such that each of  is a prime.

[Chun-Xuan Jiang. The New Prime theorem（39）On the . Academ Arena 2015;7(1s): 72-73]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 39

doi:10.7537/marsaaj0701s15.39

Keywords: prime; theorem; function; number; new

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39

40

The New Prime theorem（40）

On the

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that  contain infinitely many prime solutions.

[Chun-Xuan Jiang. The New Prime theorem（40）On the . Academ Arena 2015;7(1s): 74-75]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 40

doi:10.7537/marsaaj0701s15.40

Keywords: prime; theorem; function; number; new

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40

41

The New Prime theorem（41）

On the

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

Jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that  contain infinitely many prime solutions or no prime solutions.

[Chun-Xuan Jiang. The New Prime theorem（41）On the . Academ Arena 2015;7(1s): 76-78]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 41

doi:10.7537/marsaaj0701s15.41

Keywords: prime; theorem; function; number; new

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41

42

The New Prime theorem（42）

On the

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that  contain infinitely many prime solutions.

[Chun-Xuan Jiang. The New Prime theorem（42）On the . Academ Arena 2015;7(1s): 79-80]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 42

doi:10.7537/marsaaj0701s15.42

Keywords: prime; theorem; function; number; new

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42

43

The New Prime theorem（43）

On the

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China. jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that  contain infinitely many prime solutions or no prime solutions.

[Chun-Xuan Jiang. The New Prime theorem（43）On the . Academ Arena 2015;7(1s): 81-82]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 43

doi:10.7537/marsaaj0701s15.43

Keywords: prime; theorem; function; number

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43

44

The New Prime theorem（44）

On the

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function  we prove that  contain no prime solutions or infinitely many prime solutions.

[Chun-Xuan Jiang. The New Prime theorem（44）On the . Academ Arena 2015;7(1s): 83-84]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 44

doi:10.7537/marsaaj0701s15.44

Keywords: prime; theorem; function; number; new

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44

45

The New Prime theorems（45）-（70）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that the new prime theorems (45)-(70) contain infinitely many prime solutions and no prime solutions.

[Chun-Xuan Jiang. The New Prime theorems（45）-（70）. Academ Arena 2015;7(1s): 85-111]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 45

doi:10.7537/marsaaj0701s15.45

Keywords: prime; theorem; function; number; new

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45

46

The New Prime theorems（71）-（100）

Chun-Xuan Jiang

Institute for Basic Research Palm Harbor, FL 34682, U.S.A.

Jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that the new prime theorems (141)-（190) contain infinitely many prime solutions and no prime solutions.

[Chun-Xuan Jiang. The New Prime theorems（71）-（100）. Academ Arena 2015;7(1s): 112-143]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 46

doi:10.7537/marsaaj0701s15.46

Keywords: prime; theorem; function; number; new

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The New Prime theorems（101）-（130）

Chun-Xuan Jiang

Jiangchunxuan@vip.sohu.com

Institute for Basic Research, Palm Harbor, FL 34682, U.S.A.

Abstract: Using Jiang function we prove that the new prime theorems (141) -（190) contain infinitely many prime solutions and no prime solutions.

[Chun-Xuan Jiang. The New Prime theorems（101）-（130）. Academ Arena 2015;7(1s): 144-174]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 47

doi:10.7537/marsaaj0701s15.47

Keywords: prime; theorem; function; number; new

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The New Prime theorems（131）-（140）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that the new prime theorems (45)-(70) contain infinitely many prime solutions and no prime solutions.

[Chun-Xuan Jiang. The New Prime theorems（131）-（140）. Academ Arena 2015;7(1s): 175-185]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 48

doi:10.7537/marsaaj0701s15.48

Keywords: prime; theorem; function; number; new

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The New Prime theorems（141）-（190）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that the new prime theorems (141)-（190) contain infinitely many prime solutions and no prime solutions.

[Chun-Xuan Jiang. The New Prime theorems（141）-（190）. Academ Arena 2015;7(1s): 186-236]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 49

doi:10.7537/marsaaj0701s15.49

Keywords: prime; theorem; function; number; new

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The New Prime theorems（191）-（240）

Chun-Xuan Jiang

P. O. Box 3924, Beijing 100854, P. R. China

jiangchunxuan@vip.sohu.com

Abstract: Using Jiang function we prove that the new prime theorems (141)-（190) contain infinitely many prime solutions and no prime solutions. School of mathematics (institute for advanced study) has long been recognized as the leading international center of research and postdoctoral training in pure mathematics. They should support the new prime theorems(1)-(240).

[Chun-Xuan Jiang. The New Prime theorems（191）-（240）. Academ Arena 2015;7(1s): 237-288]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 50

doi:10.7537/marsaaj0701s15.50

Keywords: prime; theorem; function; number; new

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