Question

What is the smallest perfect square that can be written as the sum of three different prime numbers?

Answer 1

Answer:

16

Step-by-step explanation:

2 + 3 + 11 = 16

Perfect squares that are lower than 16 and 9, 4, and 1.

We can't find 3 prime numbers that add up to 9, 4, or 1.

Answer 2

Answer:

19 is the smallest prime number that is the sum of three different prime number.

Step-by-step explanation:

To find this:

   2 is the only even prime number and other prime numbers are odd

   adding any two prime number always gives even number.

   so the least numbers that are required to do is 3,5 and 7; their sum is 15

   so any prine number less than 15 is not possible for this question

   so, the next prime number is 17

   17 minus any other prime no less 17 are13,11,7.5.3,2 give the number that   4,6,10,12,14,15 which are not sum of any two different prime numbers

   

so the answer is 19=11+5+3.