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May 11th, 2011, 10:05 AM  #1 
Senior Member Joined: Apr 2011 From: Recife, BR Posts: 352 Thanks: 0  Writing a prime as sum or difference of different primes
Can any prime be written as , if are all primes different from p (not necessarily the kth prime) and for all i,j? For example, or Let (in this case, I do mean the nth prime). Then for the statement to be false, k must not be able to be written as , otherwise. So if there isn't an unique difference between two consecutive primes greater than 3, then the statement is true. Is it true that every even number greater than zero can be written as a difference of two or more pairs of consecutive primes? 
May 11th, 2011, 11:29 AM  #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  Re: Writing a prime as sum or difference of different primes Quote:
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