A068307 - decompositions of N into sum of 3 primes

franktaw at netscape.net franktaw at netscape.net
Wed Mar 21 13:44:51 CET 2007


Almost certainly these sequences are both complete.  See A067188.  (An 
even number n is the sum of 3 primes exactly as n-2 is the sum of 2 
primes; odd numbers can generally be represented as the sum of 3 primes 
in many more ways than nearby even numbers.)

Franklin T. Adams-Watters


-----Original Message-----
From: seqfan at plastereddragon.com


  I'm particularly interested in those numbers with small numbers of 
decompositions into a sum of three primes, and there appear to be no 
sequences devoted to them:

 Number of decompositions = 1: 6, 7, 8, 10, 14
  Number of decompositions = 2: 9, 11, 12, 13, 16, 18, 20, 22, 30, 34, 
40, 70

 -- Chuck Seggelin


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