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**Primenumbers****Member**- Registered: 2013-01-22
- Posts: 141

There are no more twin primes after prime, z.

A=3*5*7*11*13*17*19*23*29*31....................................*z

so long as or whichever is greater rd. dwn. to nearest prime = z or less+/- must exist in the correct range otherwise m+/-1=*composite then in a gap of 4 there are no more even no.'s left to as m+1=*composite and m+4-1=*composite

Therefore some gaps must be >4. In these gaps we now know m+/-3=*composite therefore these gaps must be >6 as m+1=*composite m+3=*composite and m+6-1=*composite.

Still no even no.'s left for .

And so on until gaps that must be >2 become gaps that must be >infinity.

*Last edited by Primenumbers (2015-07-20 22:41:08)*

**"Time not important. Only life important."*** - The Fifth Element 1997*

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**Primenumbers****Member**- Registered: 2013-01-22
- Posts: 141

** Simpler version**

There are no more primes after prime, z.

A=3*5*7*11*13*17*19*23*29*31............................................*z.

p= No. not factorable by any primes in A or 2.

p+/-1=

Some gaps must be >4 as p+1 and p+4-1=.

No room for .

These gaps must be >6 as p+1 and p+3 and p+6-1=.

Again no room for .

And so on until gaps that must be >2 become gaps that must be >infinity.

*Last edited by Primenumbers (2015-07-22 02:40:38)*

**"Time not important. Only life important."*** - The Fifth Element 1997*

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