A Russian mathematician named Christian Goldbach came up with a theory that every even number greater than 4 can be written as the sum of odd primes. Test Goldbachs theory with the numbers 6 and 50.

What did you find when you tested this theory?

http://www.mathsisfun.com/prime_numbers.html

To test Goldbach's theory, we need to check if every even number greater than 4 can be expressed as the sum of two odd prime numbers. Let's start with the numbers you mentioned, 6 and 50.

1. Testing with the number 6:
According to Goldbach's theory, 6 can be expressed as the sum of two odd prime numbers. To find out if this holds true, we'll consider all possible combinations of odd primes.

List of odd prime numbers:
3, 5, 7, 11, 13, 17, 19, ...

Let's check all possible combinations:
6 = 3 + 3 (3 is a prime number, but it is an even prime, not odd)
6 = 5 + 1 (1 is not a prime number)

None of the combinations of odd prime numbers give us 6 as the sum. Therefore, Goldbach's theory does not hold for the number 6.

2. Testing with the number 50:
Similarly, we'll check if 50 can be expressed as the sum of two odd prime numbers.

50 = 3 + 47 (3 and 47 are both prime numbers and odd)

The combination of odd prime numbers (3 and 47) gives us 50 as the sum. Therefore, Goldbach's theory holds for the number 50.

In conclusion, Goldbach's theory holds for the number 50 but does not hold for the number 6.

The answer is one that you must learn for yourself my friend...