OFFSET
1,1
COMMENTS
Similar to Goldbach's weak conjecture.
Primes in A124867, and by the comment in A124867 also the set of all primes >=19. - R. J. Mathar, Apr 19 2013
"Goldbach's original conjecture (sometimes called the 'ternary' Goldbach conjecture), written in a June 7, 1742 letter to Euler, states 'at least it seems that every number that is greater than 2 is the sum of three primes' (Goldbach 1742; Dickson 2005, p. 421). Note that here Goldbach considered the number 1 to be a prime, a convention that is no longer followed." [Weisstein] - Jonathan Vos Post, May 15 2013
LINKS
H. A. Helfgott, David J. Platt, Numerical Verification of the Ternary Goldbach Conjecture up to 8.875e30, arXiv:1305.3062v1 [math.NT], May 14, 2013.
H. A. Helfgott, David J. Platt, Numerical verification of the Ternary Goldbach Conjecture up to 8.875*10^30, Exp. Math. 22 (4) (2013) 406-409.
Eric W. Weisstein, Goldbach conjecture
Wikipedia, Goldbach's conjecture
Wikipedia, Goldbach's weak conjecture
EXAMPLE
19 = 3 + 5 + 11.
MATHEMATICA
Union[Select[Total /@ Subsets[Prime[Range[2, 30]], {3}], PrimeQ]]
CROSSREFS
KEYWORD
nonn
AUTHOR
T. D. Noe, Apr 15 2013
STATUS
approved