## An Elementary Proof for Infinitely Many Twin Primes

**Authors:** Chongxi Yu

Prime numbers are the basic numbers and are crucial important. There are many conjectures concerning primes are challenging mathematicians for hundreds of years and many “advanced mathematics tools” are used to solve them, but they are still unsolved. A kaleidoscope can produce an endless variety of colorful patterns and it looks like magic, but when you open one and examine it, it contains only very simple, loose, colored objects such as beads or pebbles and bits of glass. Humans are very easily cheated by 2 words, infinite and anything, because we never see infinite and anything, and so we always make a simple thing complex. The pattern of prime numbers similar to a “kaleidoscope” of numbers, if we divide primes into 4 groups, twin primes conjecture becomes much simpler. Based on the fundamental theorem of arithmetic and Euclid’s proof of endless prime numbers, we have proved there are infinitely many twin primes.

**Comments:** 15 Pages.

**Download:** **PDF**

### Submission history

[v1] 2017-02-13 21:14:17

[v2] 2017-02-17 19:44:31

[v3] 2017-03-05 03:16:45

[v4] 2017-04-29 06:52:43

[v5] 2017-05-11 09:42:42

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