You can't add any two even numbers to get 23.
You can't subtract any two even numbers to get 23.
You can't multiply any two even numbers to get 23.
About the only thing you can do is divide, like 46 divided by 2, or 92 divided by 4, etc.
There are an infinite number of those that work.
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They are 23 and 5
3 & 23 are the numbers you're looking for ! 3 x 23 = 69
3 and 23 are two prime numbers having a sum of 26.
25 = 23 + 2
As a product of its prime factors: 2 times 23 = 46