SOLUTION: Which of the following odd numbers can you write as the sum of two prime numbers? Try to write them as sum of three odd numbers. 1. 35 2. 31 3. 65

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: Which of the following odd numbers can you write as the sum of two prime numbers? Try to write them as sum of three odd numbers. 1. 35 2. 31 3. 65      Log On


   

Question 1143811: Which of the following odd numbers can you write as the sum of two prime numbers? Try to write them as sum of three odd numbers.
1. 35
2. 31
3. 65
Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
.

First question 


    31 = 2 + 29.   This and only this number.


    HINT.  One of the two addends must be 2, the only even prime number.


Second question 

    35 = 3 + 13 + 19  (the sum of three odd prime numbers)


    31 = 3 + 11 + 17  (the sum of three odd prime numbers)


    65 = 3 + 19 + 43  (the sum of three odd prime numbers)

Solved.