Question

Amber writes down two different prime numbers.

She adds together her two numbers.
Her answer is a square number less than 30 that has more than 3 factors.
Find the two prime numbers that Amber has written down.

Answer 1

3 and 13

5 and 11

Explanation:

You want two prime numbers that have a sum that is a square number less than 30 with more than 3 factors.

Square numbers

The square numbers less than 30 are 1, 4, 9, 16, 25. Of these, only 16 has more than 3 factors.

Sum of primes

There are two sets of primes that have a sum of 16. Amber could have written down either of these pairs.

3 and 13

5 and 11

<95141404393>