Goldbach's conjecture states that every even integer greater than two can be

Goldbach's conjecture states that every even integer greater than two can be

Goldbach's conjecture states that every even integer greater than two can be expressed as a sum of two primes. There is no formal proof of this conjecture. However, every even integer greater than two has been shown to be a sum of two primes once we started looking. Is this acceptable justification for believing Goldbach's conjecture? Can we determine mathematical theorems based on observational evidence?

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