[7] **viXra:1808.0200 [pdf]**
*submitted on 2018-08-15 22:48:56*

**Authors:** Toshiro Takami

**Comments:** 13 Pages.

I did proof of Goldbach expectation.
Even numbers are supplemented with prime numbers and prime numbers, but that proof has not been done yet.
We found that even numbers and prime numbers have regularity.
I found that the prime number is (6n-1) or (6n-1) except 2 and 3 (n is a positive integer).
No exception was found.

**Category:** General Mathematics

[6] **viXra:1808.0191 [pdf]**
*submitted on 2018-08-14 07:38:32*

**Authors:** Edgar Valdebenito

**Comments:** 3 Pages.

This note presents an image related with the function f(z)=ln(2z+tan z).

**Category:** General Mathematics

[5] **viXra:1808.0174 [pdf]**
*submitted on 2018-08-13 06:51:14*

**Authors:** Saikat Sarkar

**Comments:** 8 Pages.

Here i am representing some basic graphs of some known functions and their behaviour.

**Category:** General Mathematics

[4] **viXra:1808.0158 [pdf]**
*submitted on 2018-08-12 11:45:22*

**Authors:** Radomir Majkic

**Comments:** 4 Pages.

There is no cuboid with all integer edges and face diagonals.

**Category:** General Mathematics

[3] **viXra:1808.0105 [pdf]**
*submitted on 2018-08-08 20:22:13*

**Authors:** Travis Keraly

**Comments:** 1 Page. This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Using a simple pattern, a linear chromatic scale is revealed, beginning and ending with a perfect octave.

**Category:** General Mathematics

[2] **viXra:1808.0092 [pdf]**
*submitted on 2018-08-07 10:53:42*

**Authors:** Colin James III

**Comments:** 1 Page. Copyright © 2018 by Colin James III All rights reserved. Respond to this author's email address: info@ersatz-systems dot com. (We instruct troll Mikko at Disqus to read the entire article twice before she starts typing.)

In superposition calculus, the property of translation invariance for A < B → XAY < XBY for all words A,B,X,Y as TCTT TCTT TCTT TTTT is not tautologous and hence refuted.

**Category:** General Mathematics

[1] **viXra:1808.0005 [pdf]**
*submitted on 2018-08-01 01:53:32*

**Authors:** Janne Hakkarainen

**Comments:** 2 Pages.

Magic squares have interested (recreational) mathematicians for hundreds, if not thousands, of years. But what would happen if the grid of a magic square would be infinite?

**Category:** General Mathematics