Question

All odd numbers greater than 7 can be expressed as the sum of three prime numbers. Which three prime numbers have a sum of 43? Justify your answer.

Answer 1

31,7, 5

1) Considering that we can write the following listing the three prime numbers

43 = 31 +7+5

2) This statement:" All odd numbers greater than 7 can be expressed as the sum of three prime numbers." is a consequence of the Goldbach Conjecture:

"Every number greater than 5 is the sum of 3 prime numbers."

3) Hence, 43 can be the sum of these three prime numbers:

31,7, 5