Levy,s Conjecture
المؤلف:
Hodges, L.
المصدر:
"A Lesser-Known Goldbach Conjecture." Math. Mag. 66
الجزء والصفحة:
...
11-10-2020
816
Levy's Conjecture
Levy (1963) noted that
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).
REFERENCES:
Corbit, D. "Conjecture on Odd Numbers." sci.math posting. Nov 19, 1999. https://groups-beta.google.com/group/sci.math/msg/539c96e47e3ed582?hl=en&.
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."
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