
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
April 8th, 2014, 03:54 AM  #1 
Senior Member Joined: Oct 2013 From: Far far away Posts: 431 Thanks: 18  Goldbach conjecture corollary
Prove that if every even number greater than 2 is a sum of two primes (the Goldbach conjecture), then every odd number greater than 5 is a sum of three primes. My attempt I noticed that all odd numbers greater than 5 can be represented by the formula 2n + 3 where n is a natural number 2n is even. If the Goldbach conjecture is true then it can be written as p1 + p2 where p1 and p2 are prime So 2n + 3 = p1 + p2 + 3 3 is also prime Therefore all odd numbers > 5 can be written as p1 + p2 + 3 (the sum of three primes) Is this proof acceptable? Is there a better way? Thanks 
April 8th, 2014, 05:50 AM  #2 
Math Team Joined: Apr 2010 Posts: 2,780 Thanks: 361 
That's correct, well done 

Tags 
conjecture, corollary, goldbach 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Goldbachlike Conjecture  mathbalarka  Number Theory  3  July 2nd, 2013 10:01 AM 
Goldbach's conjecture  ibougueye  Number Theory  1  August 13th, 2012 09:28 PM 
Goldbach Conjecture  julian21  Number Theory  1  September 29th, 2010 12:26 AM 
Enchev's conjecture  Goldbach's conjecture for twin pairs  enchev_eg  Number Theory  30  September 28th, 2010 09:43 PM 
on Goldbach's conjecture  fucktor  Number Theory  21  April 15th, 2009 10:06 AM 