Number Theory

1009 Submissions

[21] viXra:1009.0058 [pdf] submitted on 19 Sep 2010

Infinite Number

Authors: Moon Kyom
Comments: 9 pages

Added the infinite sign and the infinitesimal sign and defined an operation. The infinite calculation of number became possible. The benefits gained by infinite number is as follows.
Category: Number Theory

[20] viXra:1009.0049 [pdf] submitted on 14 Sep 2010

The New Prime Theorem (691)-(740)

Authors: Chun-Xuan Jiang
Comments: 70 pages

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 J2(ω) 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. πk(N0,2) ≥ 1. This is the Book theorem.
Category: Number Theory

[19] viXra:1009.0044 [pdf] submitted on 11 Sep 2010

The New Prime Theorem (641)-(690)

Authors: Chun-Xuan Jiang
Comments: 71 pages

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 J2(ω) 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. πk(N0,2) ≥ 1. This is the Book theorem.
Category: Number Theory

[18] viXra:1009.0041 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Square Product Sequence

Authors: Micha Fleuren
Comments: 4 pages

Factoring of the Smarandache Square Product Sequence
Category: Number Theory

[17] viXra:1009.0040 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Prime Product Sequence

Authors: Micha Fleuren
Comments: 6 pages

Factoring of the Smarandache Prime Product Sequence
Category: Number Theory

[16] viXra:1009.0039 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Mirror Sequence

Authors: Micha Fleuren
Comments: 4 pages

Factoring of the Smarandache Mirror Sequence
Category: Number Theory

[15] viXra:1009.0038 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Factorial Product Sequence

Authors: Micha Fleuren
Comments: 3 pages

Factoring of the Smarandache Factorial Product Sequence
Category: Number Theory

[14] viXra:1009.0037 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Back Concatenated Cube Sequence

Authors: Micha Fleuren
Comments: 5 pages

Factoring of the Smarandache Back Concatenated Cube Sequence
Category: Number Theory

[13] viXra:1009.0036 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Back Concatenated Even Sequence

Authors: Micha Fleuren
Comments: 6 pages

Factoring of the Smarandache Back Concatenated Even Sequence
Category: Number Theory

[12] viXra:1009.0035 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Back Concatenated Odd Sequence

Authors: Micha Fleuren
Comments: 6 pages

Factoring of the Smarandache Back Concatenated Odd Sequence
Category: Number Theory

[11] viXra:1009.0034 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Back Concatenated Prime Sequence

Authors: Micha Fleuren
Comments: 5 pages

Factoring of the Smarandache Back Concatenated Prime Sequence
Category: Number Theory

[10] viXra:1009.0033 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Back Concatenated Square Sequence

Authors: Micha Fleuren
Comments: 5 pages

Factoring of the Smarandache Back Concatenated Square Sequence
Category: Number Theory

[9] viXra:1009.0032 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Concatenated Cubic Sequence

Authors: Micha Fleuren
Comments: 4 pages

Factoring of the Smarandache Concatenated Cubic Sequence
Category: Number Theory

[8] viXra:1009.0031 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Concatenated Even Sequence

Authors: Micha Fleuren
Comments: 6 pages

Factoring of the Smarandache Concatenated Even Sequence
Category: Number Theory

[7] viXra:1009.0030 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Concatenated Odd Sequence

Authors: Micha Fleuren
Comments: 5 pages

Factoring of the Smarandache Concatenated Odd Sequence
Category: Number Theory

[6] viXra:1009.0029 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Concatenated Prime Sequence

Authors: Micha Fleuren
Comments: 4 pages

Factoring of the Smarandache Concatenated Prime Sequence
Category: Number Theory

[5] viXra:1009.0028 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Concatenated Square Sequence

Authors: Micha Fleuren
Comments: 4 pages

Factoring of the Smarandache Concatenated Square Sequence
Category: Number Theory

[4] viXra:1009.0027 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Cubic Product Sequence

Authors: Micha Fleuren
Comments: 4 pages

Factoring of the Smarandache Cubic Product Sequence
Category: Number Theory

[3] viXra:1009.0026 [pdf] submitted on 14 Mar 2010

Factoring of the Smarandache Deconstructive Sequence

Authors: Micha Fleuren
Comments: 10 pages

Factoring of the Smarandache Deconstructive Sequence
Category: Number Theory

[2] viXra:1009.0021 [pdf] submitted on 7 Sep 2010

The New Prime Theorem (591)-(640)

Authors: Chun-Xuan Jiang
Comments: 70 pages

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 J2(ω) 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. πk(N0,2) ≥ 1. This is the Book theorem.
Category: Number Theory

[1] viXra:1009.0004 [pdf] submitted on 2 Sep 2010

New Method of Genenating of Primes and Its Application to the Goldbach's Conjecture

Authors: Kunikazu Tanaka
Comments: 21 pages

Showing how to derive new expressions of generating prime numbers to demonstrate the Goldbach's Conjecture
Category: Number Theory