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March 18th, 2008, 02:39 PM  #1 
Newbie Joined: Mar 2008 From: Israel Posts: 6 Thanks: 0  Name of three evenly spaced primes
What's the name of three evenly spaced primes (Like {3, 5, 7} or {3, 7, 11})? Are there any theorems relating to them? 
March 18th, 2008, 02:49 PM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
Those are three primes in arithmetic progression, a PAP3. There are a number of conjectures that would suggest that infinitely many triples of such primes. Here's a page of records: http://hjem.get2net.dk/jka/math/aprecords.htm#records 

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