Open Problem Garden - Polignac's Conjecture - Comments

Link (re: Polignac's Conjecture)

Charles R Greathouse IV — Tue, 18 Jun 2013 16:07:41 +0200

I removed this link and its description from the problem, since it is now known to be incorrect. For future reference here it is: http://barkerhugh.blogspot.com/2011/01/twin-primes-and-polignac-conjecture.html

Flaw (re: Polignac's Conjecture)

Hugh Barker — Thu, 13 Jan 2011 15:19:55 +0100

OK, someone has spotted the inevitable flaw in the logic and pointed it out, so not worth looking after all (though feel free if you want to play "spot the error"...

Compressed version (re: Polignac's Conjecture)

Anonymous — Tue, 11 Jan 2011 10:05:50 +0100

There's a slightly compressed version of this proof here:

http://barkerhugh.blogspot.com/2011/01/twin-prime-proof-compressed-version.html

Probably better to refer to this one as it is more focused.

Polignac's Conjecture

Hugh Barker — Mon, 10 Jan 2011 15:10:44 +0100

Author(s): de Polignac

Subject: Number Theory

Conjecture Polignac's Conjecture: For any positive even number n, there are infinitely many prime gaps of size n. In other words: There are infinitely many cases of two consecutive prime numbers with difference n.

In particular, this implies:

Conjecture Twin Prime Conjecture: There are an infinite number of twin primes.