A Compendium of Unlikely Parameterizations for Prime Pairs Related to the Goldbach Conjecture

The long-standing Goldbach Conjecture states that every even integer greater than 4 is equal to the sum of two odd prime numbers. An interesting exercise would be to check if some simply stated rules on prime number candidates would generate solutions satisfying the Conjecture. A collection of rules which are insufficient are presented with examples. A final conjecture is proposed, yet unresolved, dealing with maximal prime products. The closing conjecture offers a parameterization which is a candidate solution for the Goldbach Conjecture.