What odd composite number between 50 and 60 can be written as the sum of two prime numbers?

Answer 1

51, 55, 57.

Answer 2

The odd composite numbers between 50 and 60 are 51, 55, and 57. Because all the primes are odd except for 2 and adding two odd numbers will result in an even number, one of the two prime numbers must be 2, which when added to an odd number will result in an odd number. So, we subtract 2 from each of these numbers and check whether it is prime. 51 - 2 = 49, which is not prime. 55 - 2 = 53, which is prime. 57 - 2 = 55, which is not prime. Thus, the number is 55, which can be written as 2 + 53.

Answer 3

The odd composite number between 50 and 60 that can be written as the sum of two prime numbers is 51. This can be expressed as the sum of 17 and 34, both of which are prime numbers. In mathematics, this concept is known as Goldbach's conjecture, which states that every even integer greater than 2 can be expressed as the sum of two prime numbers.