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1

The New Prime theorems（241）-（290）

Jiang, Chun-Xuan (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: Using Jiang function  we prove that the new prime theorems (241)-（290) contain infinitely many prime solutions and no prime solutions.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（241）-（290）. Academ Arena 2016;8(1s): 1-46]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 1.

doi:10.7537/marsaaj0801s16.01

Keywords: new; prime; theorem; Jiang Chunxuan; mathematics; science; number; function

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1

2

The New Prime theorems（291）-（340）

Jiang, Chun-Xuan (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: Using Jiang function  we prove that the new prime theorems (291)-（340) contain infinitely many prime solutions and no prime solutions.

[Chun-Xuan Jiang. The New Prime theorems（291）-（340）. Academ Arena 2016;8(1s): 47-93]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 2.

doi:10.7537/marsaaj0801s16.02

Keywords: new; prime; theorem; Jiang Chunxuan; mathematics; science; number; function

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2

3

The New Prime theorems（341）-（390）

Jiang, Chun-Xuan (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: Using Jiang function  we prove that the new prime theorems (341)-（390) contain infinitely many prime solutions and no prime solutions.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（341）-（390）. Academ Arena 2016;8(1s): 94-140]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 3.

doi:10.7537/marsaaj0801s16.03

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science

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3

4

The New Prime theorems（391）-（440）

Jiang, Chun-Xuan (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: Using Jiang function  we prove that the new prime theorems (341)-（390) contain infinitely many prime solutions and no prime solutions. Analytic and combinatorial number theory (August 29-September 3, ICM2010) is a conjecture. The sieve methods and circle method are outdated methods which cannot prove twin prime conjecture and Goldbach’s conjecture. The papers of Goldston-Pintz-Yildirim and Green-Tao are based on the Hardy-Littlewood prime k-tuple conjecture (1923). But the Hardy-Littlewood prime k-tuple conjecture is false: (http://www.wbabin.net/math/xuan77.pdf) (http://vixra.org/pdf/1003.0234v1.pdf). Mathematicians do not speak advanced mathematical papers in ICM2010. ICM2010 is lower congress.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（391）-（440）. Academ Arena 2016;8(1s): 141-193]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 4.

doi:10.7537/marsaaj0801s16.04

Keywords: new; prime theorem; Jiang Chunxuan

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4

5

The New Prime theorems（441）-（490）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution.This is the Book proof. In this paper using Jiang function  we prove that the new prime theorems (441)-（490) contain infinitely many prime solutions and no prime solutions.From(6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（441）-（490）. Academ Arena 2016;8(1s): 194-246]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 5.

doi:10.7537/marsaaj0801s16.05

Keywords: new; prime theorem; Jiang Chunxuan

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5

6

The New Prime theorems（491）-（540）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. In this paper using Jiang function  we prove that the new prime theorems (491)-（540) contain infinitely many prime solutions and no prime solutions.From (6) we are able to find the smallest solution. . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（491）-（540）. Academ Arena 2016;8(1s): 247-300]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 6.

doi:10.7537/marsaaj0801s16.06

Keywords: new; prime theorem; Jiang Chunxuan

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6

7

The New Prime theorems（541）-（590）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof.No mathematicians study prime oroblems. In this paper using Jiang function  we prove that the new prime theorems (541)-（590) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（541）-（590）. Academ Arena 2016;8(1s): 301-353]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 7.

doi:10.7537/marsaaj0801s16.07

Keywords: new; prime theorem; Jiang Chunxuan

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7

8

The New Prime theorems（591）-（640）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No mathematicians study prime problems and prove Riemann hypothesis. In this paper using Jiang function  we prove that the new prime theorems (591)-（640) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem. 这开创新的素数理论新时代, 将产生一大批数学家。

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（591）-（640）. Academ Arena 2016;8(1s): 354-408 (ISSN 1553-992X). http://www.sciencepub.net/academia. 8.

doi:10.7537/marsaaj0801s16.08

Keywords: new; prime theorem; Jiang Chunxuan

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8

9

The New Prime theorems（641）-（690）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis. In this paper using Jiang function  we prove that the new prime theorems (641)-（690) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（641）-（690）. Academ Arena 2016;8(1s): 409-462]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 9.

doi:10.7537/marsaaj0801s16.09

Keywords: new; prime theorem; Jiang Chunxuan

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9

10

The New Prime theorems（691）-（740）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMI, IAS, THES, MPIM, MSRI. In this paper using Jiang function  we prove that the new prime theorems (691)-（740) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（691）-（740）. Academ Arena 2016;8(1s): 463-516]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 10.

doi:10.7537/marsaaj0801s16.10

Keywords: new; prime theorem; Jiang Chunxuan

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10

11

The New Prime theorems（741）-（790）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMI, IAS, THES, MPIM, MSRI. In this paper using Jiang function  we prove that the new prime theorems (741)-（790) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（741）-（790）. Academ Arena 2016;8(1s): 517-571]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 11.

doi:10.7537/marsaaj0801s16.11

Keywords: new; prime theorem; Jiang Chunxuan

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11

12

The New Prime theorems（791）-（840）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMI, IAS, THES, MPIM, MSRI. In this paper using Jiang function  we prove that the new prime theorems (791)-（840) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（791）-（840）. Academ Arena 2016;8(1s): 572-626]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 12.

doi:10.7537/marsaaj0801s16.12

Keywords: new; prime theorem; Jiang Chunxuan

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12

13

The New Prime theorems（841）-（890）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMI, IAS, THES, MPIM, MSRI. In this paper using Jiang function  we prove that the new prime theorems (841)-（890) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（841）-（890）. Academ Arena 2016;8(1s): 627-697]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 13.

doi:10.7537/marsaaj0801s16.13

Keywords: new; prime theorem; Jiang Chunxuan

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13

14

The New Prime theorems（891）-（940）

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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMI, IAS, THES, MPIM, MSRI. In this paper using Jiang function  we prove that the new prime theorems (891)-（940) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang Chunxuan (蒋春暄). The New Prime theorems（891）-（940）. Academ Arena 2016;8(1s): 698-780]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 14.

doi:10.7537/marsaaj0801s16.14

Keywords: new; prime theorem; Jiang Chunxuan

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15

The New Prime theorems（941）-（990）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMI, IAS, THES, MPIM, MSRI. In this paper using Jiang function  we prove that the new prime theorems (941)-（990) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（941）-（990）. Academ Arena 2016;8(1s): 781-834]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 15.

doi:10.7537/marsaaj0801s16.15

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science; number; function

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15

16

The New Prime theorems（991）-（1040）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMI, IAS, THES, MPIM, MSRI. In this paper using Jiang function  we prove that the new prime theorems (991)-（1040) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（991）-（1040）. Academ Arena 2016;8(1s): 835-904]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 16.

doi:10.7537/marsaaj0801s16.16

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science; number; function

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17

The New Prime theorems（1041）-（1090）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMI, IAS, THES, MPIM, MSRI. In this paper using Jiang function  we prove that the new prime theorems (1041)-（1090) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems（1041）-（1090）. Academ Arena 2016;8(1s): 905-975]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 17.

doi:10.7537/marsaaj0801s16.17

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science; number; function

Full Text

17

18

The New Prime theorems (1091)—（1140）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMI, IAS, THES, MPIM, MSRI. In this paper using Jiang function  we prove that the new prime theorems (1091)-(1140) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems (1091)—（1140）. Academ Arena 2016;8(1s): 976-1057]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 18.

doi:10.7537/marsaaj0801s16.18

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science; number; function

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19

The New Prime theorems (1141)—（1190）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMI, IAS, THES, MPIM, MSRI. In this paper using Jiang function  we prove that the new prime theorems (1141)-(1190) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems (1141)—（1190. Academ Arena 2016;8(1s): 1058-1135]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 19.

doi:10.7537/marsaaj0801s16.19

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science; number; function

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20

The New Prime theorems (1191)—（1240）

Jiang, Chun-Xuan (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： Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMA, IAS, THES, MPIM, MSRI. In this paper using Jiang function  we prove that the new prime theorems (1191)-(1240) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems (1191)—（1240）. Academ Arena 2016;8(1s): 1136-1203]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 20.

doi:10.7537/marsaaj0801s16.20

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science; number; function

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21

The New Prime theorems (1241)—（1290）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMA, IAS, THES, MPIM, MSRI. In this paper using Jiang function  we prove that the new prime theorems (1241)-(1290) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems (1241)—（1290）. Academ Arena 2016;8(1s): 1204-1284]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 21.

doi:10.7537/marsaaj0801s16.21

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science; number; function

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22

The New Prime theorems (1291)—（1340）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMA, IAS, THES, MPIM, MSRI. In this paper using Jiang function  we prove that the new prime theorems (1291)-(1340) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems (1291)—（1340）. Academ Arena 2016;8(1s): 1285-1366]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 22.

doi:10.7537/marsaaj0801s16.22

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science; number; function

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23

The New Prime theorems (1341)—（1390）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMA, IAS, THES, MPIM, MSRI. Recently<Annals of Mathematics> publish the many false papers of the prime numbers to see P52-53. In this paper using Jiang function  we prove that the new prime theorems (1341)-(1390) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems (1341)—（1390）. Academ Arena 2016;8(1s): 1367-1447]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 23.

doi:10.7537/marsaaj0801s16.23

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science; number; function

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The New Prime theorems (1391)—（1440）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMA, IAS, THES, MPIM, MSRI. Recently<Annals of Mathematics> publish the many false papers of the prime numbers to see P52-53. In this paper using Jiang function we prove that the new prime theorems (1391)-(1440) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution. This is the Book theorem.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems (1391)—（1440）. Academ Arena 2016;8(1s): 1448-1477]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 24.

doi:10.7537/marsaaj0801s16.24

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science; number; function

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The New Prime theorems (1441)—（1490）

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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMA, IAS, THES, MPIM, MSRI. Recently<Annals of Mathematics> publishes the many false papers of the prime numbers to see P52-53. In this paper using Jiang function  we prove that the new prime theorems (1441)-(1490) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem. Institute for advanced study was the undisputed Mecca of the Riemann hypothesis, now no existence.

[Jiang, Chunxuan (蒋春暄). The New Prime theorems (1441)—（1490）. Academ Arena 2016;8(1s):1478-1558]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 25.

doi:10.7537/marsaaj0801s16.25

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science; number; function

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The New Prime theorems (1491)—（1540）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMA, IAS, THES, MPIM, MSRI. Recently<Annals of Mathematics> publishes the many false papers of the prime numbers to see P52-53. In this paper using Jiang function  we prove that the new prime theorems (1491)-(1540) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem. Institute for advanced study was the undisputed Mecca of the Riemann hypothesis, now no existence.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems (1491)—（1540）. Academ Arena 2016;8(1s):1559-1639]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 26.

doi:10.7537/marsaaj0801s16.26

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science; number; function

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The New Prime theorems (1541)—（1590）

Jiang, Chun-Xuan (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: Using Jiang function we are able to prove almost all prime problems in prime distribution. This is the Book proof. No great mathematicians study prime problems and prove Riemann hypothesis in AIM, CLAYMA, IAS, THES, MPIM, MSRI. Recently<Annals of Mathematics> publishes the many false papers of the prime numbers to see P52-53. In this paper using Jiang function  we prove that the new prime theorems (1541)-(1590) contain infinitely many prime solutions and no prime solutions. From (6) we are able to find the smallest solution . This is the Book theorem. Institute for advanced study was the undisputed Mecca of the Riemann hypothesis, now no existence.

[Jiang, Chun-Xuan (蒋春暄). The New Prime theorems (1541)—（1590）. Academ Arena 2016;8(1s):1640-1728]. (ISSN 1553-992X). http://www.sciencepub.net/academia. 27.

doi:10.7537/marsaaj0801s16.27

Keywords: new; prime theorem; Jiang Chunxuan; mathematics; science; number; function

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