It is simply: 3+23 = 26 because 3 and 23 are prime numbers
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You can't write that as the sum of two prime numbers. Note: Goldbach's Conjecture (for expressing numbers as the sum of two prime numbers) applies to EVEN numbers.
2 + 23 = 25
The sum of any two prime numbers may or may not be prime. The sum of the two prime numbers 2 and 3 is the prime number 5, and the sum of the two prime numbers 5 and 7 is the composite number 12.
The sum of the two prime numbers 3 and 73 is 76.
I assume you are asking the question "what two prime numbers sum to 44". There may be other pairs of prime numbers that sum to 44, but 37 and 7 are both primes and their sum = 44.