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 September 18th, 2016, 09:56 AM #1 Newbie   Joined: Sep 2016 From: pl Posts: 2 Thanks: 0 smallest infinite prime number gap gap between twin primes = 2 and its infinite... but between 2 and 3 there is a gap = 1, is the gap of 1 also infinite?
 September 18th, 2016, 12:09 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,683 Thanks: 2664 Math Focus: Mainly analysis and algebra How many even primes are there?
 September 19th, 2016, 12:29 AM #3 Newbie   Joined: Sep 2016 From: pl Posts: 2 Thanks: 0 only one. I didn't think about it. So there is only one gap of 1 of all prime numbers. Interesting
 September 28th, 2016, 10:01 AM #4 Newbie   Joined: Mar 2009 Posts: 14 Thanks: 0 If the gap between two primes in 1, then one of them must be even. Of course there's only one even prime.
September 28th, 2016, 10:20 AM   #5
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Quote:
 Originally Posted by marinhos and its infinite...
It is conjectured that there are infinitely many pairs of primes that differ by 2.

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### 1is smallest gap number

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