KeishlaA419094 KeishlaA419094
  • 25-10-2022
  • Mathematics
contestada

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.

Respuesta :

RhiaR632233 RhiaR632233
  • 25-10-2022

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

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