and from this observation, conjectured that all odd numbers are the sum of a prime plus twice
a prime. This conjecture is a stronger version of the weak Goldbach
conjecture and has been verified up to (Corbit 1999).
The number of ways
to express
as
for
and
primes and ,
2, ... are 0, 0, 0, 1, 2, 2, 2, 2, 4, 2, 3, 3, 3, 4, 4, ... (OEIS A046927).
Corbit, D. "Conjecture on Odd Numbers." Nov. 19, 1999. https://groups.google.com/g/sci.math/c/HoCpH8gPDHM/m/gtU-fuSWnFMJ.Hodges,
L. "A Lesser-Known Goldbach Conjecture." Math. Mag.66, 45-47,
1993.Levy, H. "On Goldbach's Conjecture." Math. Gaz.47,
274, 1963.Sloane, N. J. A. Sequence A046927
in "The On-Line Encyclopedia of Integer Sequences."