Raymond B. answered 05/02/23
Math, microeconomics or criminal justice
it's been tested up to 400 trillion
and it's true for those even numbers
every even number is the sum of 2 prime numbers
(except 2 = 1+1 since 1 by definition is not prime)
every even number larger than 2 is the sum of 2 prime numbers
4 = 3+1
6 = 5+1
8 = 5+3
10 = 7+3
12 = 7+5
14 = 7+7
16= 13+3
18= 13+5
20 = 13+7
22 = 17+5
etc.
up to
400,000,000,000,000
you may need an advanced computer to test more even numbers
but without some more "proof" it still doesn't prove all even numbers >2
are the sum of 2 primes
"Goldbach's conjecture" is one of the oldest unsolved problems in number theory.
You may have to some major math talent to find a proof, more than the best in the world for longer than you can likely conjecture