Question

Express following prime number as the sum of three primes - :

$47=........+..........+...........$

Answer 1

Since, we can express prime number as the sum of three prime numbers.

So,$47=3+3+41=3+7+37=3+13+31=5+5+37=5+11+31=5+13+29=5+19+23=7+11+29=7+17+23=11+13+23=11+17+19=13+17+17.$

In this expression prime number expressed as the sum of the three prime numbers $3,3,41$ and many more combinations.

Hence , we can write $47=3+3+41=3+7+37=3+13+31=5+5+37=5+11+31=5+13+29=5+19+23=7+11+29=7+17+23=11+13+23=11+17+19=13+17+17.$