Goldbach Conjecture redefined – number responsibility

Definition 1.:Integer n is p-responsible iff u(2n-p)=1.
Definition 2.:Integer n is responsible iff \exists{p}: u(2n-p)=1

Example: 9 and 6 are 7-responsible, because 18-7=11 (prime) and 12-7=5 (prime), but 11 is not 7-responsible 22-7=15 (u(15)=2, because 15=3*5)

Hence, new (modified) definition of Goldbach Conjecture in terms of new definition:

“Every integer n>1 is responsible.”


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